Answer:
no solution
Step-by-step explanation:
You want to solve the equation x/12+1=x/3-x/4.
SolutionThere are a couple of ways you can solve this. If you're intimidated by the fractions, you can get rid of them by multiplying the equation by a common denominator. In this case, multiplying by 12 gives ...
x +12 = 4x -3x . . . . . . original equation multiplied by 12
x +12 = x . . . . . . . . . . simplified
12 = 0 . . . . . . . . . . . . subtract x from both sides
This equation is plainly false. No value of x will make it be true.
The given equation has NO SOLUTION.
Alternate solutionYou can do the arithmetic with the coefficients as they are:
x/12 +1 = x(1/3 -1/4)
x/12 +1 = x/12
1 = 0 . . . . . . . . . . subtract x/12; false
The equation has NO SOLUTION.
__
Additional comment
It is a good idea to become comfortable doing arithmetic with numbers however you find them: integers, fractions, mixed numbers, decimals, percents, scientific notation.
A decent calculator can help, if you need it. Modern graphing calculators are fully capable of working with mixed numbers, fractions, percents, and scientific notation. Any spreadsheet can do this, too.
There are very good inexpensive or free apps for phone and tablet that provide all the capability of a good graphing calculator.
Write a function rule for the area A of a triangle whose base is b 3 cm less than six times the height h. What is the area of the triangle when the height is 12 cm?
The area of the triangle when the height is 12 cm would be 414 cm².
What is area of the triangle?The area of the triangle is half the product of its base and height.
A = (1/2)bh
Given that the area A of a triangle whose base is b 3 cm less than six times the height h.
Consider h be the height of the triangle. With this the base may be represented as; 6h - 3.
Therefore,
A = (1/2)bh
A = (1/2)(6h - 3)h
Now to the equation the value of h,
A = (1/2)((6)(12 cm) - 3)(12 cm)
A = 414 cm²
Therefore, the area of the triangle when the height is 12 cm would be 414 cm².
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Sami is making necklaces for a craft show. each necklace is 33.4 centimeters long. if she has 233.8 centimeters of cord, how many necklaces can Sami make?
Sami can make 7 necklaces from the cord
What is a length?Length is defined as the measurement or extent of something from end to end
To find the number of necklaces Sami can make
We divide the Total centimeter of chord with the centimeter of one cord
Total cord=233.8centimter
Each necklace = 33.4centimeters
Therefore, Total cord/Each necklace
=233.8/33.4
=7necklaces
Hence, Sami can make 7 necklaces from 233.8centimeters of cord
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this is built in excel and allows you to perform calculations; you just put the arguments in that the calculation needs.
The correct answer is Option D which is function.
Given that,
You can make computations using this Excel feature by simply entering the necessary inputs.
Range
Syntax
Formula
Function
Answer is Option D
Using the necessary arguments in the right sequence, a function is a predetermined formula that conducts calculations. SUM, AVERAGE, COUNT, etc. are some built-in functions. the arguments in that the calculation needs function and it is selected over Range, Syntax, Formula
So, The correct answer is Option D which is function.
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Examine the algebra tiles. which equation is being modeled? 4x 3 = 4x 5 â€""3x (â€""3) = 4x 5 4x (â€""3) = 5x 4 â€""3x 4 = 5x 4
The equation that can be modeled by the given algebra tiles be,
4x + 3 = 4x + 5
Given, algebra tiles
we have to find an equation that can be modeled by the given algebra tiles.
as, from the given figure
four times of the right side tiles and left side tiles differ by 2.
So, according to the question,
4x + 3
and 4x + 5
On equating, we get
4x + 3 = 4x + 5
So, the equation that can be modeled by the given algebra tiles be,
4x + 3 = 4x + 5
Hence, the equation that can be modeled by the given algebra tiles be,
4x + 3 = 4x + 5
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3. Verify that PQ is twice the length of ST.
How to do this please help
The length of the PQ is twice of the Length of the ST .
How to find the Length between two points?The length of the line segment connecting two points in a plane is defined as distance between two points. The method for calculating the distance between two points is typically written as
d=√((x_2-x_1)²+(y_2-y_1)²)
This formula is used to calculate the distance between two locations on a coordinate plane or an x-y plane.
from the graph
P(2,4), Q(-4,-6), S (7,2) and T (4, -3)
Find the Length of the PQ = √((x_2-x_1)²+(y_2-y_1)²)
= [tex]\sqrt{ (-4-2)^2 + (-6-4)^2}[/tex]
= [tex]\sqrt{136} =11.66[/tex]
ST = [tex]\sqrt{ (4-7)^2 + (-3-2)^2}[/tex] =[tex]\sqrt{34}[/tex] = 5.83
hence verified
The length of the PQ is twice of the Length of the ST .
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Owen offers to sell his motorcycle to Julian for $5,000. After he makes the offer, Owen has second thoughts. Owen can revoke the offer to sell his motorcycle to Julian: as long as Julian has not yet accepted the offer.
Owen can revoke the offer to sell his motorcycle to Julian as long as Julian has not yet accepted offer
First Owen offers to sell his motorcycle to Julian for $5000.
Then after makes the offer, Owen has second thoughts and he want to revoke the offer to sell his motorcycle to Julian.
According to revoke of offer to sell an individual who makes an offer have the power to revoke so long as it hasn't yet been accepted by the other party. Therefore he can revoke the price as long as Julian has not yet accepted the offer
Hence, Owen can revoke the offer to sell his motorcycle to Julian as long as Julian has not yet accepted offer
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If X1 , X2 , X3 and X4 are (pairwise) uncorrelated randomvariables, each having mean 0 and variance 1, compute thecorrelations coefficient of(a) X1 + X2 and X2 + X3 ;(b) X1 + X2 and X3 + X4
The correlation coefficient of
(a) X1 + X2 and X2 + X3 would be 1/2.
(b) X1 + X2 and X3 + X4 would be 0.
What is the correlation in statistics?
Correlation is a statistical measure (a number) that describes the magnitude and direction of a relationship between two or more variables. A correlation between variables, on the other hand, does not imply that a change in one variable is the cause of a change in the values of the other variable.
(a) X1 + X2 and X2 + X3.
We have
Cov(X1 + X2, X2 + X3) = Cov(X1, X2) + Cov(X1, X3) + Cov(X2, X2) + Cov(X2, X3)
= 0 + 0 + Var(X2) + 0
= 1.
We know that
Var(X1 + X2) = Var(X1) + Var(X2) + 2 Cov(X1, X2) = 1 + 1 + 2 · 0 = 2.
Similarly, Var(X2 + X3) = 0. So the correlation between X1 + X2 and X2 + X3 is
[tex]=\frac{Cov(X1+X2, X2+X3)}{\sqrt{Var(X1 + X2) Var(X2 + X3)} }\\\\=\frac{1}{\sqrt{2.2} }\\\\=\frac{1}{2}[/tex]
(b) X1 + X2 and X3 + X4.
Since
Cov(X1 + X2, X3 + X4) = Cov(X1, X3) + Cov(X1, X4) + Cov(X2, X3) + Cov(X2, X4)
= 0 + 0 + 0 + 0
= 0,
the correlation between X1 + X2 and X3 + X4 is 0.
Hence, the correlation coefficient of X1 + X2 and X2 + X3 would be 1/2
and X1 + X2 and X3 + X4 would be 0.
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First change the given pattern into a vector w of zeros and ones by turning each shaded square into a 1 and each unshaded square into a 0 and then lining up each column below the column before it. Then find a matrix M so that w'Mw=0 but u Mu #0 for all other nonzero vectors u of zeros and ones. a 0 0 0 W= 0 1 M= : va More Enter un
The pattern will be as given, in the matrix form.
We can arrange the given matrix as , A = (0 0 0 0 1 1 0 0 1)
Now, A*TA = 0
If A has an entry 9 then, the sum of all the diagonal elements.
So the T will be the form of the matrix attached below.
Hence the Pattern will be as
W= [ 0
0
0
0
1
1
0
0
1 ]
(Written as a one column matrix.)
M= [ 1
1
0
1 ]
(Written as a one column matrix.)
A matrix is a rectangular array of letters, numbers, or expressions in mathematics that are arranged in rows and columns. The matrix below, for instance, has a dimension of 2 3 due to its two rows and three columns: [ 1 9 − 13 20 5 − 6 ]
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Excluding additions done to increment the loop variable i, what is the total number of multiplications and additions done when evaluating a polynomial of degree n at x = c using Polynomial_2?
2 n
The total number of multiplications and additions done when evaluating a polynomial of degree n are 2n.
What is degree of polynomial
The highest degree of a polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics. A term's degree is a non-negative integer and is calculated by adding the exponents of all the variables that occur in it.
An expression comprising more than two algebraic terms, particularly the sum (or difference) of numerous terms that contain various powers of the same or distinct variables, is referred to as a polynomial (s) degree.
Inside for loop there is one multiplication (y*c) and addition(y*c + ai) and the loop happens n times. So, 2*n based on excluding the increment of i.
Hence, The total number of multiplications and additions done when evaluating a polynomial of degree n are 2n.
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Sally can paint a room in 5 hour while it take teve 7 hour to paint the ame room. How long would it take them to paint the room if they worked together?
Sally and Steve approximately 2.9 hours to paint the room together.
What is the time and work concept?The fundamental concept of Time and Work is the same as it is in all Arithmetic topics, namely the concept of Proportionality. When the amount of work done remains constant, efficiency is inversely proportional to time.
What is the relationship between time, work done, and work rate?Work Done = Time Spent Work Rate
Work Rate = [tex]\frac{1}{time taken}[/tex].
Time Spent = [tex]\frac{1}{rate of work}[/tex].
If a piece of work is completed in x days, then the work completed in one day = [tex]\frac{1}{x}[/tex].
There are two kinds of questions about time and work. Individuals working alone or in groups with different individuals can be a problem.
efficiencies or there may be issues with combined group efficiency. Now, if a person 'A' completes a specific task in X days, the work completed by 'A' in one day is = [tex]\frac{1}{x}[/tex].
Similarly, if a person 'B' completes a specific task in Y days, then his work completed in one day is =[tex]\frac{1}{y}[/tex].
So, if A and B work collaboratively, their combined work done in one day will be [tex]\frac{1}{x} +\frac{1}{y}[/tex], and they will be able to complete the work in [tex]\frac{xy}{x+y}[/tex] days.
Given:
Sally spends 5 hours painting one room.
Steve spends 7 hours painting one room.
In response to the question
Sally will paint part of the room in one hour = [tex]\frac{1}{5}[/tex] part
Steeve will paint part of the room in one hour = [tex]\frac{1}{7}[/tex] part
Together they will paint =[tex]\frac{5*7}{5+7}[/tex] = [tex]\frac{35}{12}[/tex]part
∴ then the complete room will be pained by them = [tex]\frac{35}{12}[/tex]
= 2.916666… hours
Sally and Steve approximately 2.9 hours to paint the room together.
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how to factorise 2x + 10
Answer:
2(x + 5)
Step-by-step explanation:
1. Common factor
2x + 10
2(x + 5)
Solution
2(x + 5)
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 13 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Write the equation of the line in fully simplified slope-intercept form. PLSSS HELP ME
Answer:
y = -1/2x - 1
Step-by-step explanation:
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What are the ways to prove triangle congruence A for any triangle B for right triangles?.
The ways to prove right triangles congruence:
Triangle in the right position
Congruent Hypotenuse-Angle.
Leg-Angle Consistency
Hypotenuse–Leg Congruence
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
According to the RHS Criterion:
If the hypotenuse and one of the sides of a right-angled triangle match the hypotenuse and the corresponding side of another right-angled triangle, then the two triangles are said to be congruent.
Leg-to-leg coherence Right triangles are said to be congruent if their respective legs match up with those of another right triangle.
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Two cards are dealt from a shuffled deck. What is the probability that the first card is an ace and the second card is a face card or a ten?
The probability that the first card is an ace and the second card is a face card is 1.78% and 12/52 respectively.
What is the probability of cards?
Probability is measured by counting and using basic math, such as addition and division. For example, you can multiply the number of spades in a complete deck (13) by the total number of cards in the deck (52) to get the probability of drawing a spade at random: 13 in 52, or 25%.
If you are dealt two cards successively from a standard 52-card deck, find the probability of getting an ace card on the first card and a face on the second.
you want to draw an ace. There are 4 aces out of the 52 cards in the deck so the probability of drawing an ace = 4/52.
So, the combined probability [tex](\frac{12}{52}) . (\frac{4}{52}) = (\frac{3}{13}) . (\frac{1}{13}) = (\frac{3}{169})[/tex]
= 1.78%.
The probability of a face card on the second draw = 12/52 because there are 12 face cards (J, Q, K x 4 of each) and 52 cards in the deck.
Hence, the probability that the first card is an ace and the second card is a face card is 1.78% and 12/52 respectively.
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consider the following hypotheses that relate to the medical field: h0: a person is free of disease. ha: a person has disease. in this instance, a type i error is often referred to as .
Type I error means rejecting the true null hypothesis and Type II error means failing to reject a false null hypothesis.
A Type I error occurs in hypothesis testing when one rejects the null hypothesis and the null hypothesis is true.
To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.
Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis.
In the given question, type I error means rejecting the true null hypothesis i.e. h0: the person is free of disease but we conclude that the person has the disease. This is called a false positive. ha: Type II error means failing to reject a false null hypothesis.
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CAN SOMEONE CHECK MY ANSWERS FOR ME RQ?
1. Addition:
a. x - 5 = 10
b. s - 4 = 6
c. y - 11 = 24
d. t - 8 = 9
2. Subtraction:
a. x + 2 = 10
b. s + 4 = 6
c. y + 17 = 24
d. t + 3 = 118
3. Multiplication
a. 1/5 x = 10
b. 1/2 s = 8
c. 1/2 t = 6
d. 1/4 y = 20
4. Division
a. 4x = 36
b. 13x = 52
c. 5x = 25
d. 10x = 120
5. Mixed Practice
a. x + 9 = 7
b. 23 - y = 44
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4 x = 4
i. 24x = 3
j. 1/10 x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2 q = 8
o. 15t = 24
My answers:
1.
A.15
B.10
C.35
D.17
2.
A.8
B.2
C.7
D.115
3.
A.50
B.16
C.12
D.80
4.
A.9
B.4
C.5
D.12
5.
A.-2
B.-21
C.7
D.60
E.0
F.1
G.100
H.16
I.1/8
J.500
K.636
L.2
M.17
N.16
O.8/5
Answer:
All looks good but Problem 5 K
363
Step-by-step explanation:
33 x 11 = 363
Answer: I only saw one mistake. On your mixed practice, K is wrong. It is 363, not 636.
hope this helps!
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The total time it will take for one person to complete a task from beginning to end without taking into account holidays, time off, or other project work is known as this.
A. Duration estimate
B. Work effort estimate
C. Bottom-up estimate
D. Parametric estimate
B. Work effort estimate
As per the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.
As given in the question,
Total time taken by one person to complete the task with conditions:
-: From beginning to end no holiday.
-: No time off
-: no other project work
A. Duration estimate represents the time taken to complete any project.
Incorrect option.
B. Work effort estimate represents the point clearly mentioned to what is required to complete the task.
Here clearly mentioned all the points .
Correct option.
C . Bottom-up estimate represents estimates for individual components of work that are designed to rolled up into the overall estimate.
Incorrect option.
D. Parametric estimate represents the different parameters like total cost , time and resources required for the project.
Incorrect option.
Therefore, for the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.
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Find the closed formula or a recursive definition for each of the following sequences. Assume the first term given is a1. (16 pts) (a) 2,6,12,20,30,42,…(b) 1,5,23,119,719,…(c) 2,4,6,10,16,26,42,…(d) 8,12,17,23,30,…
In mathematics, a closed-formula is a mathematical expression that uses a finite number of standard operations. It may contain constants, variables, and operations etc.
A closed formula is an expression that can be computed by applying a fixed or finite number of standard opertions.
Example; Assume that the first term is a1(16 pts)
(a) 2,6,12,20,30,42,....
(b) 1,5,23,119,719,…
(c) 2,4,6,10,16,26,42,…
(d) 8,12,17,23,30,…
hence the closed formula will be a1=(1+1,1+5,1+11,1+29,1+24)
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Peter had 14 marbles and lost y of them. John started with 8 marbles and gained y.
Answer:
Step-by-step explanation:
There is no specific question here, but perhaps it is solve for Y? is there any more information?
P= 14 - Y
J= 8 +Y
TRUE/FALSE: there is a basis of rn consisting of eigenvectors of a, then a is diagonalizable. TRUE/FALSE: if a is diagonalizable, then a is invertible.
If Rn has a basis of eigenvectors of A, then A is diagonalizable.
This statement is true.
If A is diagonalizable, then A is invertible.
This statement is false.
What is diagonalizable matrix?
If there is an invertible matrix P and a diagonal matrix D such that P^-1AP=D, or alternatively A=PDP^-1, then the square matrix A is said to be diagonalizable or non-defective in linear algebra.
If Rn has a basis of eigenvectors of A, then A is diagonalizable.
This statement is true.
In this case we can construct an invertible matrix P.
If A is diagonalizable, then A is invertible.
This statement is false.
It’s invertible if it doesn’t have a zero as eigen value but this doesn’t affect diagonalizabilty.
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Which ordered pair is a solution to the system of inequalities ?{ Y − 2x y 4?.
Point (-3,5) is a solution to the system of inequalities
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
For this case, what we must do is find a point that meets both inequalities.
y> -2
x + y <4
We have then:
For (0,4):
First inequation:
4> -2 (correct)
Second inequality:
0 + 4 <4 (incorrect)
For (1,4):
First inequation:
4> -2 (correct)
Second inequality:
1 + 4 <4 (incorrect)
For (-3,5):
First inequation:
5> -2 (correct)
Second inequality:
-3 + 5 <4 (correct)
Point (-3,5) is system solution
For (-2,-3):
First inequation:
-3> -2 (incorrect)
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How do you write an equation that passes through a point and has a slope?.
Answer:
Use y = mx + b form.
Substitute x, y and m.
Solve for b.
Now you have m, and b.
Use the form again, substitute m and b.
That will give you the generalized equation. You can use it to describe every point on the line.
a garden snail moves at 0.029 miles per hour how many feet per minute did the snail travel during the race?
Answer:
2.552 [tex]\frac{feet}{minute}[/tex]
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation.
(9, 12); y=13x−4
Answer:
[tex]\sf y = \dfrac{-1}{13}x+ \dfrac{165}{13}[/tex]
Step-by-step explanation:
Equation of line in slope-intercept form: y = mx + bHere m is the slope and b is the y-intercept.
y = 13x - 4
m₁ = 13
Product of slope of the Perpendicular line m * m₁ = -1
[tex]\sf m = \dfrac{-1}{m_1}\\\\m = \dfrac{-1}{13}[/tex]
Equation of the line:
[tex]\sf y = \dfrac{-1}{13}x+b[/tex]
The point (9,12) passes through the line. Substitute the coordinates in the above equation and find the value of 'b'.
[tex]\sf 12 = \dfrac{-1}{13}*9+b\\\\[/tex]
[tex]\sf 12 + \dfrac{9}{13}=b\\\\ \dfrac{156}{13}+ \dfrac{9}{13}=b\\\\\boxed{b= \dfrac{165}{13}}[/tex]
Equation of line:
[tex]\sf y = \dfrac{-1}{13}x+ \dfrac{165}{13}[/tex]
How do you prove right angles?.
By applying the theorem that square of largest side is equal to the sum of squares of other two sides
Proof of Right Angle Triangle Theorem
Theorem: In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.
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Consider w1 = â€""3i and w2 = â€""2. what is the result of subtracting w2 from w1? i â€""i 2 â€"" 3i â€""2 3i
(c) is the correct option. When we subtract w₂ from w₁, we get (2 - 3i).
According to our question, we came to know the values of w₁ and w₂ which are written below:
w₁ = -3i
w₂ = -2
In order to subtract w₂ from w₁, we need to arrange the expression as below:
w₁ - w₂ = -3i - (-2)
Upon opening the bracket, minus(-) will be multiplied by (-2) and it becomes +2. ∴ - x - = +
Hence,
w₁ - w₂ = -3i + 2
We cannot add -3i with 2 as 'i' referred to as 'iota' is an imaginary number that is used to express complex numbers. Its value is [tex]\sqrt{-1}[/tex]. So, our final solution will be.
w₁ - w₂ = 2 - 3i
Which will be our answer and option (c) is correct.
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Your Question is incomplete, but most probably your full question was:
Consider w₁= -3i and w₂ = -2. What is the result of subtracting w₂ from w₁?
a. i
b. -i
c. 2-3 i
d. -2+3 i
Alya ha a 10. 2-gram bag of pretzel and a 21. 3-gram bag of nack mix. She put an equal amount of the combined pretzel and nack mix into each of the 3 large bowl. How much mix doe Alya put in each bowl?
Alya put an average amount of 10.5g of the mix in each bowl.
Define average.
In math and statistics, the arithmetic mean or arithmetic average, or just the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection.
The average is defined as the mean value, which is equal to the ratio of the sum of a given set of values to the total number of values present in the set.
Solution Explained:
Given in question,
Amount of pretzels = 10.2g
Amount of nack mix = 21.3g
When mixed,
The amount of the combined mix = 10.2 + 21.3 = 31.5g
So, if there are 3 bowls and Alya puts an equal amount into each one, we get
Amount of mix in each bowl = 31.5/3 = 10.5g
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9 of david's chickens lay eggs every day. 5of the chickens never lay any eggs. what fraction of the chickens lay eggs irregulary?
The required fraction of chicken,whose are laying eggs irregularly.
How to deal with the fraction?Multiply the numerators and denominators independently to track down the item. At the point when you need to duplicate divisions, increase the 2 numerators together first and compose it on top. Then duplicate the denominators together and compose it on the lower part of the portion. Work on your response in the event that you would be able so it is in the least terms.
According to question:9/15 chickens are laying eggs regularly and 2/15 chickens never lay eggs.
Then,fraction of chicken
1 - 9/15 - 2/15
15 - 9 - 2/15
4/15
Thus, the fraction of chicken are 4/15
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Correct question:
9/15 of David's chickens lay
eggs every day. 2/15 of the chickens never lay any eggs. What fraction of the chickens lay eggs irregularly.
How does Hamlet's view of death change throughout the play?.
Being afraid of the unknown prevents Hamlet from using death as a solution to end his difficulties.
Hamlet's perspective on death changes as he comes to terms with the fact that it is inevitable and he isn't sure he wants to experience it since death might not be preferable to life. Hamlet repeatedly longs for death to put an end to his suffering due to his sadness and agony, but he hesitates since death is forbidden in the Christian religion for fear of being sentenced to eternal torment in hell.We also learn that since another factor contributing to Hamlet's terrible demise was his inability to "do" rather than just "be." His speech, which is primarily about death, demonstrates his propensity to reflect rather than act.This is how Hamlet's view of death changes throughout the play.
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A farmer sold 108 pounds of produce that consisted of z
pounds of zucchini and c pounds of cucumbers. The farmer
sold the zucchini for $1.69 per pound and the cucumbers for
$0.99 per pound and collected a total of $150.32. Which of the
following systems of equations can be used to find the number
of pounds of zucchini that were sold?
z + c = 150.32
A)
1.692 + 0.99C = 108
z + c = 108
B)
1.692 + 0.990 = 150.32
z + c = 108
C)
0.99z + 1.690 = 150.32
z + c = 150.32
D)
0.99z + 1.69c = 108
The following systems of equations can be used to find the number of pounds of zucchini that were solds z + c = 108 and 150.32 = 1.69z + 0.99c
A farmer sold 108 pounds of produce
The produce that consisted of z pounds of zucchini and c pounds of cucumbers.
z + c = 108
The farmer sold the zucchini for $1.69 per pound and the cucumbers for $0.99 per pound
He collected a total of $150.32.
Money collected by zucchimi = 1.69 x z = 1.69z
Money collected by cucumbers = 0.99 x c = 0.99c
Total money collected = money collected by zucchini + money collected by cucumbers
150.32 = 1.69z + 0.99c
Therefore, the system of equations is z + c = 108 and 150.32 = 1.69z + 0.99c
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