The pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
A pencil measures [tex]8\frac{3}{8}[/tex] inches.
A pair of scissors measures [tex]5\frac{1}{2}[/tex] inches.
We need to find the difference between the measures of a pencil and the scissors.
We see that the pencil measure is greater than the pair of scissors.
What is a mix fraction?A fraction is a part of a whole number. It has two parts - numerator and denominator.
Example: If you cut a cake into three slices each slice is 1/3.
Where 1 = numerator and 3 = denominator.
Four types of fractions:
Unit fraction - when the numerator is 1.
Proper fraction - When the numerator is less than the denominator.
Improper fraction - When the numerator is greater than the denominator.
Mixed fraction - When the fraction contains a whole number with a proper fraction.
Example: [tex]3\frac{1}{3}[/tex]
The given measure of the pen and the pair of scissors is in mix fraction.
The pencil measure is longer than the pair of scissors measure so,
We will subtract the measure of the pair of scissors from the measure of the pen.
We have,
= [tex]8\frac{3}{8} - 5\frac{1}{2}[/tex]
We can write the mix fraction into an improper fraction.
We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.
So,
[tex]8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}[/tex]
= 67/8 - 11/2
= (67-44) / 8
= 23 / 8
Writing in mix fraction.
= [tex]2\frac{7}{8}[/tex]
Thus the pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
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Help me, plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
70/29 or 2 12/29
Step-by-step explanation:
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
○ [tex]3x + 4y = 7[/tex]
Step-by-step explanation:
The general form of the equation of a straight line is as follows:
[tex]\boxed{y = mx + c}[/tex],
where:
m = slope
c = y-intercept.
This means that m, which is the coefficient of [tex]x[/tex], needs to be [tex]-\frac{3}{4}[/tex].
Therefore we have to rearrange each equation given to make y the subject, and then check if the coefficient of [tex]x[/tex] becomes [tex]-\frac{3}{4}[/tex].
• First option:
[tex]4x - 3y = 7[/tex]
⇒ [tex]-3y = -4x + 7[/tex]
⇒ [tex]y = \frac{4}{3}x -{ \frac{7}{3}[/tex]
∴ 'm' is [tex]\bf \frac{4}{3}[/tex], not [tex]-\frac{3}{4}[/tex], therefore this option is incorrect.
• Second option:
[tex]4x + 3y = 7[/tex]
⇒ [tex]3y = -4x + 7[/tex]
⇒ [tex]y = -\frac{4}{3}x + \frac{7}{3}[/tex]
∴ 'm' is [tex]\bf -\frac{4}{3}[/tex], not [tex]-\frac{3}{4}[/tex], therefore this option is incorrect.
• Third option:
[tex]3x + 4y = 7[/tex]
⇒ [tex]4y = -3x + 7[/tex]
⇒ [tex]y = -\frac{3}{4}x + \frac{7}{3}[/tex]
'm' is [tex]\bf -\frac{3}{4}[/tex], therefore this option is correct.
Note:
You can rearrange the equation given in the last option, and see that 'm' comes out to be [tex]\frac{3}{4}[/tex], thereby making it incorrect.
[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
Given:[tex]\sf{- \dfrac{3}{4}}[/tex]
First, we take all the given options to their slope-intercept form:
[tex]\longrightarrow \sf{y=m x+b}[/tex]
Taking to each equation to its slope-intercept form, you get:
[tex]\small\longrightarrow \sf{-3y = 7 - 4x}[/tex]
[tex]\small\longrightarrow \sf{- \dfrac{4}{ - 3} x + \dfrac{7}{3} }[/tex]
[tex]\small\longrightarrow \sf{y = \dfrac{4}{ 3} x - \dfrac{7}{3} }[/tex]
[tex]\small\longrightarrow \sf{3y = 7 - 4x}[/tex]
[tex]\small\longrightarrow \sf{y = \dfrac{7}{3} - \dfrac{4}{3} x}[/tex]
[tex]\small\longrightarrow \sf{4y y = = 7- 3x}[/tex]
[tex]\small\longrightarrow \sf{y = \dfrac{7}{4} - \dfrac{3}{4} x}[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
◉ [tex] \bm{3x+4y=7}[/tex]
Pls help …. Need it immediately ….
The answer is 10.73 years.
Here, the formula we can use is :
[tex]\boxed {Children = \frac{Boys+Girls}{2}}[/tex] (for the average)
Substitute the values mentioned in the question.
10.54 = (10.35 + Girls)/2
21.08 = 10.35 + Girls
Girls = 10.73 years
1. In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row.
(a) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work.
(b) Use the rule to determine which row has 100 seats. Show your work.
Step-by-step explanation:
a) We can find the iterative rule by first making a table of values.
n -> [tex]a_n[/tex]
1 -> 22
2 -> 28
3 -> 34
We see that [tex]a_n[/tex] increases by 6 each time. Hence, the iterative rule should have the term 6n. However, if we put 1 in for n, we get 6. We want 22-6=16 more than this, or [tex]6n+16[/tex]. This would work for any seat row we give.
b) Our iterative rule to get the number of seats is [tex]6n+16[/tex]. Since we know that this value is 100, we can put both equal to each other.
[tex]6n+16=100\\6n=84\\n=14[/tex]
Thus, the 14th row has 100 seats.
Answer:
(a) S_n = S_1 + 6 (n - 1)
(b) Row 14 has 100 seats
Step-by-step explanation:
(a) The arithmetic sequence would follow the iterative rule,
S_n = S_1 + 6 (n - 1) where S is the number of seats in row n, n is the row number, and S is the number of seats in row 1.
Row 1 = S_1 = 22
2 = S_2 = 28
3 = S_3 = 34
4 = S_4 = 40
|| || = 46
|| || = 52
|| || = 58
|| || = 64
|| || = 70
|| || = 76
|| || = 82
|| || = 88
|| || = 94
Row 14 = S_14 = 100
(b) 100=22+6(n-1) solve for n after setting S_n = 100
100 = 22 + 6_n - 6
84/6 = 6n/6 Row 14 has 100 seats
14 = n
please say thanks!
What additional information could be used to prove that the triangles are congruent using aas? select two options.
Two angles and a non-included side of one triangle.
The AAS rule states that:
If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.
In the diagrams below, if AC = QP,
∠ A = ∠ Q,
∠ B = ∠ R,
then triangle ABC ≅ QRP.
What is meant by congruence of triangles?Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
There are 5 main rules of congruency for triangles:
SSS Criterion: Side-Side-Side.
SAS Criterion: Side-Angle-Side.
ASA Criterion: Angle-Side- Angle.
AAS Criterion: Angle-Angle-Side.
RHS Criterion: Right angle- Hypotenuse-Side.
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Use distributive properties for 5(8+r)
Answer:
40 + 5r
usually you put the one with the variable infront
so 5r+40
Step-by-step explanation:
5(8+r)
5*8 + 5*r
40 + 5r
The logarithmic functions, f(x) and g(x), are shown on the graph.
What is the equation that represents g(x)? Explain your reasoning.
Answer:
g(x) = log(x + 1) + 4
Step-by-step explanation:
The graph of g(x) is shifted 1 unit left and 4 units right from its parent function.
The double number lines show the ratio of yards to miles.How many yards are in 4 miles?
Using proportions, considering the ratio given in the double number line, it is found that there are 7.04 yards in 4 miles.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching the problem on the internet, it is found that there are 3.52 yards in 2 miles. Hence the following rule of three is used to find the number of yards in 4 miles.
2 miles - 3.52 yards
4 miles - n yards
Applying cross multiplication:
2n = 4 x 3.52
Simplifying by 2:
n = 2 x 3.52
n = 7.04 yards.
There are 7.04 yards in 4 miles.
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If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 28 pounds is 44 dollars
B. 23 pounds is 34.50 dollars
C. 11 pounds is 16.50 dollars
D. 10 pounds is 15 dollars
Answer:
A
Step-by-step explanation:
Find the ratio of pounds to dollars, [tex]\frac{3}{2}[/tex] or 1.5.
Next test each option by multiply the pounds by that ratio.
A: 28*1.5=42
B: 23*1.5=34.5
C: 11*1.5=16.5
D: 10*1.5=15
You can see A is the incorrect answer as 28 pounds would be 42 dollars, not 44.
What two nonnegative real numbers with a sum of have the largest possible product?.
The two non negative real numbers with a sum of 60 that have the largest possible product are 30 and 30.
What are non negative numbers?
Non-negative numbers are those that are either zero or positive (remember that 0 and 0 are the same). An integer that is either positive or zero is considered a non-negative integer. It is the result of adding all the natural numbers together with zero. It can be defined as the set "0, 1, 2, 3,...," and is also known as Z.
An integer that is either positive or zero is considered a non-negative integer.
Let us assume the two non negative numbers are [tex]x[/tex] and [tex]y[/tex].
According to the question,
Sum of two non negative numbers = 60
⇒ [tex]x+y=60[/tex]
⇒ [tex]y=60-x[/tex]
Their product will be given as,
⇒ [tex]P=xy[/tex]
⇒ [tex]P=x(60-x)[/tex]
⇒ [tex]P=60x-x^2[/tex]
For the product to be largest [tex]P'(x)=0[/tex]
⇒ [tex]P'(x) = 60-2x[/tex]
⇒ [tex]60-2x=0[/tex]
⇒ [tex]2x=60[/tex]
⇒ [tex]x=30[/tex]
Now, for the value of [tex]y[/tex]
⇒ [tex]y=60-x[/tex]
⇒ [tex]y=60-30[/tex]
⇒ [tex]y=30[/tex]
Therefore, the two non negative numbers are 30, 30.
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What is the maximum value of the transformed function, y = -3cos (2x - 8) + 5
A. 3 units
B. 5 units
C. 8 units
D. 11 units
Answer:
C. 8 units.
Step-by-step explanation:
The maximum value of the cosine ( cos) function is 1
So, for y = 3cos(2x - 8) + 5
Maximum value is 3 *1 + 5 = 8.
y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.
A computer chip factory produces 520 chips in 13 minutes. at this rate, how many chips does it produce in 1 hour?
A student is trying to solve the system of two equations given below: equation p: y z = 6 equation q: 8y 7z = 1 which of these is a possible step used in eliminating the y-term? (y z = 6) ⋅ −8 (y z = 6) ⋅ 7 (8y 7z = 1) ⋅ 7 (8y 7z = 1) ⋅ 8
Correct option for solving the system of two equation is ([tex]y\times z =6[/tex])[tex]\times -8[/tex] .
What is simultaneous linear equation?
A system of simultaneous linear equations is any set of two or more linear equations that share the same unknown variables. Finding values for the unknown variables that simultaneously satisfy all of the equations is required to solve such a system.
Simultaneous linear equations are two linear equations in two variables put together.
The ordered pair (x, y) that satisfies both linear equations is the system of simultaneous linear equations' solution.
Given,
Equation p: [tex]y+z=6[/tex]
Equation q: [tex]8y+7z=1[/tex]
To solve the above simultaneous linear equation multiply the equation p with (-8)
[tex](y+z=6)\times -8[/tex] ...................................................... Equation (1)
Now add Equation (1) with Equation (q)
[tex]-8y-8z=-48[/tex]
+ [tex]8y+7z=1[/tex]
⇒ [tex]-z=-47[/tex]
⇒ [tex]z=47[/tex]
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Select the order in which the operations should be performed
(L20) 5 – 3(4)
Subtract 3 from 5, then multiply that number by 4.
Multiply 3 and 4, then subtract that total from 5.
Subtract 4 from 5, then multiply that number by 3.
Multiply 5 and 4, then subtract 3 from that total.
Answer:
Multiply 3 and 4, then subtract that total from 5.
Step-by-step explanation:
You would need to follow P.E.M.D.A.S.
Parentheses, Exponents, Multiply & Divide, Add & Subtract
Hope that helps! Let me know if you need more help. Please mark me as brainliest!
What's the circumference of a
circle with a diameter of 31 inches?
Use 3.14 for I.
C = [?] inches
Enter the number that belongs in the green
box. Do not round your answer.
Hint: C = nd
Answer: C = 97.34 inches
Step-by-step explanation:
C = πd
= 3.14(31)
= 97.34
Find the missing length.
= √ [?]
C =
C
6
2
Pythagorean Theorem: a² + b² = c²
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{Formula: a^2 + b^2 = c^2}[/tex]
[tex]\textsf{Solving:}[/tex]
[tex]\mathsf{2^2 + 6^2 = c^2}[/tex]
[tex]\mathsf{2 \times 2 + 6 \times6 = c^2}[/tex]
[tex]\mathsf{4 + 36 = c^2}[/tex]
[tex]\mathsf{40 = c^2}[/tex]
[tex]\large\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\sqrt{40}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Calculate a central angle in degree intercepting an arc of length 7 pi/2 cm in a circle with radius 77cm.
The arc length of the circle exists 846.65922 cm.
How to estimate the central angle in degree?
A unit circle by definition contains a radius of 1 unit.
We have to estimate the length of the arc subtended by an angle of [tex]7\pi/2[/tex] radians.
arc length = radius [tex]*[/tex] angle
s = r[tex]$ * \theta[/tex]
Where s be the arc length
r be the radius of the circle
[tex]\theta[/tex] be the angle measured in radians
arc length = 77cm[tex]$*7\pi/2[/tex]
arc length = 77 [tex]*[/tex] 7(3.14) / 2
arc length = 846.65922 cm
Therefore, the arc length of the circle exists 846.65922 cm.
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Evaluate :11/3 + -3/7 + -4/9
Answer:
3.67+(-0.43)+(-0.44)
3.67-0.43-0.44
3.24-0.44
2.8 Ans
After conducting a survey of all his classmates, ryan discovers that the amount of money everyone spends buying clothes each month has a mean of $46. what does the mean say about the amount his classmates spend on clothes?
The correct option is B.
If the amount spent on snacks per month by all his classmates is , that amount would be $38.
What is Mean?Mean can be defined as the sum of all the observations in a sample, divided by the total number of observations. Mathematically, it is expressed as:
Mean = sum of observations / total number of observations
According to the given information:Amount of money everyone spends buying snacks each month is equal to a mean of $38.
What this means is that the average amount of money spent by everyone is equal to $38.
Therefore,
If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.
So,
We can conclude by saying, if one classmate paid above $38, and another paid below $38, it will be nullified by leveling the amount paid by all the classmates while calculating the mean.
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I understand that the question you are looking for is:
After conducting a survey of all his classmates, ryan discovers that the amount of money everyone spends buying clothes each month has a mean of $46. what does the mean say about the amount his classmates spend on clothes?
A. Half of his classmates spend exactly $38 per month buying snacks.
B. If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.
C. The majority of his classmates spend $38 per month buying snacks.
D. Half of his classmates spend more than $38 per month buying snacks
-5/12 - (-9/3) what is the answer for this equation
Answer:
2 7/12
Step-by-step explanation:
Simple fraction problem
After a gas-filled balloon is released, it rises 90 feet by the end of the first minute. by the end of the second minute, the balloon rises 120 feet, and by the end of the third minute, it rises 150 feet. how many feet would the balloon rise in 8 minutes? a. 300 c. 390 b. 330 d. 660 please select the best answer from the choices provided a b c d
Answer:
330
Step-by-step explanation:
the change in hirght = 120 - 90 = 30
so 90 + (30 x 8)
= 90+240
= 330//
Which type of function describes f(x)? exponential logarithmic polynomial rational
The category of the function f(x) shown in the graph is a (B) linear function.
What are linear functions?In mathematics, the word linear function refers to two distinct but related concepts.In calculus and related fields, a linear function is one whose graph is a straight line, that is, a polynomial function of degree zero or one.
To find which type of function describes f(x):
How do determine the graph?
A linear graph is any graph that is represented by a straight line.Because the graph is represented by a straight line, the above statement implies that it is a linear graph.Therefore, the category of the function f(x) shown in the graph is a (B) linear function.
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The complete question is given below:
Which type of function describes f(x)?
(A)exponential
(B) linear
(C) logarithmic
(D) polynomial
(E) rational
Which graph represents the function f(x)=(x+4)(x+1)(x−3)?
Answer:
your answer will be C .
Step-by-step explanation:
what is ratio (maths short definition)
Answer:
division
Step-by-step explanation:
ratio means those 2 nunbers are being divided
division is how the numbers are related or compared
much of it is describing some of all something
like 2 out 3 dentists like chrwing gum
1. Convert the numeral to a numeral in base ten.
3205 six
43
125
4325
725
Expanding the digits, we have
[tex]3205_6 \equiv 3\cdot6^3 + 2\cdot6^2 + 0\cdot6^1 + 5\cdot6^0 = \boxed{725}[/tex]
Evaluate the following expression. "5 less than 15"
A. -10
B. 8
C. 20
D. 10
Answer: 10
Step-by-step explanation: 5 less than 15 is 10 because 15 - 5 is 10. If it was 15 less from 5, only then it would be -10.
Answer:
5 less than 15 is Option D, 10. This is because using mathematical symbols, it says 15-5 which equals to 10.
Which characteristic is necessary to create a table that compares two functions?
Answer:
Which characteristic is necessary to create a table that compares two functions :
Choose the same values for each function [tex]\huge \checkmark[/tex]
Coach Salinas wants to compare the kicking statistics for kickers on their team. Which 2 ways could Coach Salinas find the kicker with the greatest goal success rate?
Th find the kicker with the greatest goal success rate, Coach Salinas should:
identify the kicker who has the best accuracyidentify the kicker has the highest number of field goals per game.What is statistics?
Statistics refers to the method of collecting data for the purpose of analysis, making of inferences and drawing of conclusions about the data collected.
Statistics usually involve numerical data in large quantities.
Statistical data can be used to make predictions about future events. They are also used to make decisions. For example, the statistical data of soccer players such as games/goal ratio, number of complete dribbles per match, number of successful take-ons, number of tackle or interceptions per game can be used in deciding which soccer player a football team should buy.
In the given scenario, Coach Salinas wants to compare the kicking statistics for kickers on their team in order to find the kicker with the greatest goal success rate.
To do this, Coach Salinas should:
determine the kicker who has the best accuracydetermine the kicker has the highest number of field goals per game.In conclusion, statistical data is important in making decisions.
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Answer:
A and D are the answers.
Step-by-step explanation:
Amanda is building a soft triangular kennel for her dog. she has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. determine which planks amanda should use to build the triangular-shaped kennel. enter the lengths from least to greatest. a triangular kennel made of carpet-covered planks
Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To determine which planks Amanda should use to build the triangular-shaped kennel:
To build a kennel for dog, we would try to make it the largest possible with what we have.So, we would go with the 3 longest planks: 3ft, 5ft, and 6ft.By looking at the length, we see that we could make something very close to a right triangle since we could use the 6ft as a hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equals 34).That means our corner angle would be slightly over 90 degrees.Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
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An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 634" by 412" on the drawing, how large is the bedroom?
For a bedroom measuring 6 3/4" by 4 1/2" on the drawing, the dimensions of the bedroom are 18 ft. by 27 ft.
Option (C) is correct.
In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.
According to the question,
The scale of an architectural sketch is 1/4" = 1'. If, according to the drawing, a bedroom has the dimensions 6 3/4 by 4 1/2 inches.
Then, the dimensions of the bedroom in feets are calculated as follows:
As 1/4" = 1'
6 3/4" = 27'= 27 ft.
Similarly,
4 1/2" = 18' =18 ft.
Thus, the dimensions of the bedroom are: 18 ft. by 27 ft.
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