Answer:
- sinu
Step-by-step explanation:
using the difference identity for sine
sin(a - b) = sinacosb - cosasinb
then
sin(u - π )
= sinucosπ - cosusinπ
= sinu(- 1) - cosu(0)
= - sinu - 0
= - sinu
Solve x = 36, where x is a real number.
Simplify your answer as much as possible.
The value obtained after solving the expression will be equal to (-1, 1).
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given in for the mention in the question,
x² = 36
x = ±6
Therefore, the values are -6, and +6.
To know more about the expression:
https://brainly.com/question/14083225
#SPJ1
more than 3.2% of homes have only a landline telephone and no wireless phone. sample data: A survey by the national center for health statistics showed that among 15800 homes 5.81% had landline phones without wireless phones. Complete parts a and b . Express the originall claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landscape telephone and no wireless phone
a) The original claim expressed in symbolic form is; p > 0.032
b) The hypotheses are defined as;
Null hypothesis; H₀: p ≤ 0.032
Alternative hypothesis; Hₐ: p > 0.032
How to define the hypotheses?A hypothesis is defined as an educated guess while using reasonable thinking, about the answer to a scientific question.
a) We are told that the claim is that more than 3.2% (0.032) of homes have only a landline telephone and no wireless phone. Thus, the original claim in symbolic form is; p > 0.032
b) From the sample survey that we see, it is clear that among 15800 homes, 5.81% had landline phones without wireless phones. This would be the sample proportion.
This means that we can define the alternative hypothesis as;
Hₐ: p > 0.032
Null hypothesis is;
H₀: p ≤ 0.032
Read more about hypotheses at; https://brainly.com/question/15980493
#SPJ1
Which expression means “Twice the difference of w and the square of 6”
Answer:
[tex]2(w-6^2)[/tex]
Step-by-step explanation:
We are doubling the difference, so we first need to find the difference. Our two numbers are [tex]w[/tex] and [tex]6^2[/tex] (you can also write 36 but that is how the problem states it). Therefore, the equation for that is [tex]w-6^2[/tex]. Then, if we double it, we get [tex]2(w-6^2)[/tex].
At December 31, 2019, the records of Hoffman Company reflected the following balances in the shareholders’ equity accounts:
Common shares: par $14 per share; 51,000 shares outstanding
Preferred shares: 9 percent; par $10 per share; 7,650 shares outstanding
Retained earnings: $225,500
On January 1, 2020, the board of directors was considering the distribution of a $68,500 cash dividend. No dividends were paid during 2018 and 2019.
Required:
Determine the total and per-share amounts that would be paid to the common shareholders and to the preferred shareholders under two independent assumptions:
Answer:
a) Total preferred dividend = $37,020; total common stock dividend = $26,980.
b) Total preferred dividend = $12,340; total common stock dividend = $51,660.
C) see explanation section.
Explanation:
Requirement - A
If the preferred dividend is cumulative.
Common stock = $12 x 50,000 = $600,000
Preferred stock = $19.5 x 7,910 = $154,245
Given,
Retained Earnings = $240,000, and Dividend = $64,000.
Generally, cash dividend is distributed to the preferred and common stockholders. However, after paying the preferred stock, dividend is paid to the common stockholders.
Therefore, preferred dividend = $154,245 x 8% = $12,340 for 2019.
As the preferred dividend is cumulative, the preferred stockholders will get the dividend for 2017 and 2018 if there remains any extra dividend after giving for 2019.
For 2017 = $12,340
For 2018 = $12,340
For 2019 = $12,340
Total preferred dividend = $37,020.
Therefore, the total common stock dividend = $(64,000 - 37,020) = $26,980.
Requirement - B
If the preferred dividend is non-cumulative.
Therefore, preferred dividend = $154,245 x 8% = $12,340 for 2019.
As the preferred dividend is non-cumulative, the preferred stockholders will not get the dividend for 2017 and 2018 despite remaining extra dividend after providing for 2019.
Therefore, preferred dividend = $12,340
Common stock dividend = $(64,000 - 12,340) = $51,660.
Requirement - C
The common stock dividend is more in non-cumulative as the company does not pay the previous years' dividends to the preferred dividend. On the other hand, if the company pays the dividend for the last years', which is known as cumulative, the dividend will become less. Therefore, the common stockholders will get fewer dividends because of paying the previous years' dividend to the preferred stockholders.
The factors would cause a more favorable dividend for the common stockholders if preferred dividends were non-cumulative, not in arrears, and there is an increase of distribution of dividends.
Please help me solve this, it’s the last question.
The value of the double integration is 7776 after solving and integration. the answer is 7776.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
Double integration (x + y) dA
y = x²
y² = 216x
y = √216 √x
∫∫(√216 √x + x²)
After solving:
[tex]\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy[/tex]
=7776
Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.
Learn more about integration here:
brainly.com/question/18125359
#SPJ1
Select all expressions that are equivalent to 2x+3x+8-3x-2. 2x+6 2x+10 65x-3x+6 (5x-3x+10
Answer:
Step-by-step explanation:
2x+3x+8-3x-2 = 2x + 6
7cm is not correct please I’m so confused
Answer:
10 cm
Step-by-step explanation:
since DE is probably equal to AD which is 17 we subtract the length of the side of CD to find CE
Length CD can be found because it is equal to AB which is 7 cm so we subtract
17-7=10
Hopes this helps please mark brainliest
Answer:
CE = 10
Step-by-step explanation:
Because they are congruent:
AD = 17, that means DE = 17
AB = 7, that means CD = 7
To find what CE is, we start with the full length:
DE
and by subtracting CD (that's part of the length), we can get CE.
DE - CD = CE
Just substitute the values in:
17 - 7 = 10
CE = 10
So there's the answer, but check this out:
CE + CD = DE
10 + 7 = 17
pls help me thank you
The probability that a student chosen at random is in the choir or band or both is 0.911
What is probability?Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In mathematics terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6. One is an event that will happen, it is certain.
Total number of students in the school = 450
number of students in choir = 110
number of students in band = 240
number of students in both = 60
Probability a student chosen at random is in the choir or band or both is
110/450 + 60/450 + 240/450
= 410/450 which is 0.911
In conclusion, the probability of a student being in music, or band or both is 0.911
Learn more about probability: htps://brainly.com/question/25870256
#SPJ1
There were 100 random samples of the same size taken from a population which is known to have a normal distribution with some mean and a known standard deviation. A 95% confidence interval for the population mean was constructed for each of the 100 random samples. If all the conditions are satisfied, what percentage of these confidence intervals would capture the true population mean? Choose the correct answer below.
A. 100% of them
B. At least 50% but no more than 75% of them
C. Approximately 95% of them
D. This cannot be determined without knowing the population mean.
The percentage of confidence intervals that would capture the true population means is approximately 95% of them. which is the correct answer would be option (C).
There were 100 random samples of the same size drawn from a population known to have a normal distribution with a mean and a standard deviation.
For each of the 100 random samples, a 95% confidence interval for the population mean was created.
Since all the conditions are satisfied,
Therefore, the percentage of confidence intervals that would capture the true population means is approximately 95% of them.
Hence, the correct answer would be an option (C).
Learn more about the standard deviation here:
brainly.com/question/14747159
#SPJ1
use implicit differentiation to find y" in terms of y and y.
The solution for implicit differentiation is
[tex]\frac{d^{2}y }{dx^{2} } =-\frac{16}{25y^{3} }[/tex]
What is implicit differentiation?
In mathematics, differentiation is the process of determining the derivative, or rate of change, of a function. Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure that determines the instantaneous rate of change of a function based on one of its variables. The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately
Given data ,
Let the function be [tex]4x^{2} -5y^{2} =4[/tex] be equation (1)
Now , on differentiating the terms with respect to y , we get
[tex]4x^{2} -5y^{2} =4[/tex]
[tex]8x-10y\frac{dy}{dx} = 0[/tex]
[tex]8x=10y\frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx}=\frac{4}{5} \frac{x}{y}[/tex] be equation (2)
So , the first derivative is [tex]\frac{dy}{dx}=\frac{4}{5} \frac{x}{y}[/tex]
Now , on taking the derivative of equation (2) , we get
[tex]\frac{d^{2} y}{dx^{2} } =\frac{4}{5}(\frac{y-x\frac{dy}{dx} }{y^{2} } )[/tex]
Substituting the value for dy/dx from equation (1) , we get
[tex]\frac{d^{2} y}{dx^{2} } =\frac{4}{5}(\frac{y-x\frac{4}{5}\frac{x}{y} }{y^{2} } )[/tex]
On simplifying the equation , we get
[tex]\frac{d^{2} y}{dx^{2} } =\frac{4}{5} ( \frac{5y^{2}-4x^{2} }{5y^{3} } )[/tex] be equation (3)
Substituting the value for 5y² - 4x² = -4 from equation (1) we get
[tex]\frac{d^{2} y}{dx^{2} } =\frac{4}{5} ( \frac{-4 }{5y^{3} } )[/tex]
So , the implicit differentiation value is
[tex]\frac{d^{2} y}{dx^{2} } =\frac{-16}{25y^{3} }[/tex]
Hence , The solution for implicit differentiation is
[tex]\frac{d^{2}y }{dx^{2} } =-\frac{16}{25y^{3} }[/tex]
To learn more about implicit differentiation click :
https://brainly.com/question/20319481
#SPJ1
Evaluate : -35 ÷ (-7) =
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
Zhang invests $2600 in two different accounts. The first account paid 11 %, the second account paid
5 % in interest. At the end of the first year he had earned $220 in interest. How much was in each
account?
$ At 11%
$ At 5%
Step-by-step explanation:
Zhang invests $2,600 in two different accounts. The first account paid 11%, the second account paid 5% in interest. At the end of the first year he had earned $220 in interest. How much was in each account?
11% = 0.11
in account 1: $220/0.11 = $2,000
in account 2: $2,600 - $2,000 = $600
$2,000 At 11%
$600 At 5%
In the function f(y)=25−3y, what is the independent variable?
Write write 69200000 in scientific notation
The scientific notation of 69200000 is 6.92 × 10⁷
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number.
learn more on scientific notation here:https://brainly.com/question/10386920
#SPJ1
10. Ms. Snyder wants to buy a television at an electronics store. All televisions at the store are 3/4
price, p. She has a $40 discount coupon she will use during the sale. Which equation should Ms. Snyder use to find
the final price, f, of a television?
If all the television at the stores are 3/4 of the original price and has a $40 discount coupon, then the equation which she used to find the price of the television is f = (3/4)p - 40
The original price of the television = p
The 3/4 of the original price = (3/4)p
The worth of the discount coupon = $40
So the discount price will be subtracted
Then, the final price of the television = (3/4) × The original price of the television - The worth of the discount coupon
Substitute the values in the equation
The final price of the television f = (3/4)p - 40
Hence, If all the television at the stores are 3/4 of the original price and has a $40 discount coupon, then the equation which she used to find the price of the television is f= (3/4)p - 40
Learn more about discount here
brainly.com/question/3541148
#SPJ1
Please help me solve
As per the given matrix A and B, the value of -7A - 6B is [tex]-7A - 6B = \begin{bmatrix} 40 & -106 &-32 \\ -46& 43 &25 \\82 & -62& -22 \end{bmatrix}[/tex]
Matrix:
Basically, a set of numbers arranged in rows and columns so as to form a rectangular array is known as matrix.
Given,
Here we have the matrix A and B.
Now we have to find the -7A - 6B.
In order to solve this matrix, first we have to find the value of -7A,
To find that one, we have to multiply -7 with A,
Then we get,
[tex]-7 \times\begin{bmatrix}-10 &10 &8 \\ -2& -1 &5 \\ -4& 8& -6\end{bmatrix} = \begin{bmatrix}70 &-70 &-56 \\ 14& 7 &-35 \\ 28& -56& 42\end{bmatrix}[/tex]
Similarly, we have to find the value of 6b,
In order to find that, we have to multiply 6 with the matrix B,
Then we get,
[tex]6 \times\begin{bmatrix}5 &6 &-4 \\ 10& -6 &-10 \\ -9& 1& 10\end{bmatrix} = \begin{bmatrix}30 & 36 &-24 \\ 60& -36 &-60 \\ -54& 6& 60\end{bmatrix}[/tex]
Now, we have to subtract the resulting matrix,
[tex]-7A - 6B = \begin{bmatrix}70 &-70 &-56 \\ 14& 7 &-35 \\ 28& -56& 42\end{bmatrix} - \begin{bmatrix} 30 & 36 &-24 \\ 60& -36 &-60 \\ -54& 6& 60 \end{bmatrix}[/tex]
Therefore, the resulting matrix is
[tex]-7A - 6B = \begin{bmatrix} 40 & -106 &-32 \\ -46& 43 &25 \\82 & -62& -22 \end{bmatrix}[/tex]
To know more about Matrix here.
https://brainly.com/question/28180105
#SPJ1
A fraction is such that if the numerator is multiplied by 3 and denominator is reduced by 2, we get 3/5 but if the numerator is increase by 4 and the denominator is double we get 5/14. find the fraction
The fraction of the given is 1/7 .
What is fraction?
A fraction that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Here let us take x as numerator and y as denominator. Then
If the numerator is multiplied by 3 and denominator is reduced by 2, we get 3/5 ,
=> 3x/y-2 = 3/5
=> 5*3x =3(y-2)
=> 15x=3y-6
=> 5x=y-2
=> y =5x+2------>1
Now if the numerator is increase by 4 and the denominator is double we get 5/14,
=> (x+4)/2y = 5/14
=> 14x+56 = 10y
=> 7x+28=5y ---->2
Here put 1 into 2 then,
=> 7x+28 = 5(5x+2)
=> 7x+28=25x+10
=>18x=18
=> x =1
Now put x=1 into 1 then,
=> y =5(1)+2 = 7.
Therefore the given fraction is x/ y = 1/7.
To learn more about fraction refer the below link
https://brainly.com/question/17220365
#SPJ1
If y 1/x and y = 2 when x = 13, find the equation that connects x and y.
The relation for x and y is given as y = 26/x. The correct answer is option (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The proportionality relation between x and y as
y ∝ 1/x
And, y = 2 at x = 13.
Suppose k is the constant of proportionality.
Then, y = k/x
Substitute y = 2 and x = 13 in the above equation to obtain,
2 = k/13
=> k = 26
Thus, by substituting the value of k the equation can be written as y = 26/x.
Hence, the equation that relates x and y is y = 26/x.
To know more about proportionality click on,
brainly.com/question/22620356
#SPJ1
2. A rectangle has a length that is half its
width. Define a variable to represent the
unknown quantity. Then write an expression
to represent the perimeter of the rectangle.
(Example 5)
The Perimeter of the given Reactangle is 6*length
Whta is a Rectanglee?
A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can alternatively be classified as an equiangular quadrilateral since all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.
Solution:
Let,
the length be l
and breadth be b
According to the question,
l = (1/2)b
We know that Perimeter of Rectangle = 2(length + breadth)
From the variable mentioned above
Perimeter = 2*(l+b)
Perimeter = 2*(l + 2l)
Perimeter = 2*(3l)
Perimeter = 6l
The Perimeter of the given Reactangle is 6*length
To learn more about Rectangle from the given link
https://brainly.com/question/2607596
#SPJ1
Answer:
Let x be the width of the rectangle.
The expression to represent the perimeter of the rectangle is 3x.
Step-by-step explanation:
Definition of the variable:
Let x be the width of the rectangle.If the rectangle has a length that is half its width, then:
[tex]\textsf{Width} = x[/tex][tex]\textsf{Length} = \dfrac{1}{2}x[/tex]The perimeter of a two-dimensional shape is the distance all the way around the outside. Therefore, the perimeter of a rectangle is twice the sum of its length and width.
[tex]\begin{aligned}\textsf{Perimeter of the rectangle}&=2 \left(\;\sf length+width\; \right)\\& = 2\left(\dfrac{1}{2}x+x\right)\\& = 2 \left(\dfrac{3}{2}x\right)\\& = 3x\end{aligned}[/tex]
Therefore, an expression to represent the perimeter of the rectangle is:
[tex]\textsf{$3x$ \;\;(where\;$x$ is the width of the rectangle)}.[/tex]A Chevrolet Sonic Hatchback costs $14,800.00. With a 12 % down payment, you can have an amortized loan for 6 years at a rate of 4.5%. What will the monthly payment be? car cost in total, money paid in interest
The monthly payment on the amortized loan is $206.74. The car cost in total is $14, 885. 52. The money paid in interest is $1, 861.52.
How to find the monthly payment?The monthly payment is called an annuity because it is constant and remains the same.
Use the present value of an annuity to find the monthly payment to be:
Loan amount = Monthly payment x Present value interest factor of annuity, period, rate
The period is:
= 6 years x 12
= 72 months
The rate is:
= 4.5% / 12 months a year
= 0.375%
The loan amount is:
= 14, 800 x ( 1 - downpayment)
= 14, 800 x ( 1 - 12%)
= $13, 024
The monthly payment is:
13, 024 = Monthly payment x Present value interest factor of annuity, 72 periods , 0.375%
Monthly payment = 13, 024 / 62.995976235992
= $206.74
The car cost in total is:
= Monthly payment x Number of months
= 206. 74 x 72
= $14, 885. 52
The money paid in interest is:
= Loan amount - Car cost
= 14, 885.52 - 13, 024
= $1, 861.52
Find out more on monthly payment at https://brainly.com/question/27926261
#SPJ1
The ratio of Lauren's jellybeans to Haley's jellybeans is 3:8. Lauren has 50 fewer jellybeans than Haley. How many jellybeans does Lauren have ?
Answer:
Lauren has 30 jellybeans
Step-by-step explanation:
Let x - Lauren
Let y = Haley
[tex]\frac{x}{y}[/tex] = [tex]\frac{3}{8}[/tex] Cross multiply
8x + 3y
x = y - 50 Substitute y - 50 into the equation above for x
8(y -50) = 3y
8y -400 = 3y Subtract 8y from both sides
-400 = -5y Divide both sides by -5
80 = y This is Haley's jellybeans
x = y = 50
x = 80 - 50
x = 30 This is Lauren's jellybeans.
A tower that is 107 feet tall casts a shadow 112 feet long. Find the angle of elevation of the sun to the nearest degree.
Draw the picture.
You have a right triangle with height = 107 and base = 131
-----
angle = tan^-1(107/131) = 39.24 degrees
==============================
2. aₙ-1=aₙ-1 ÷ 2 where a₁=50 for n≥2
The nth term of the sequence is aₙ = 48 + 2n
How to determine the value of nth term?The definition of the function is given as
a₁= 50
aₙ = aₙ₋₁ + 2
The above definitions imply that we simply add 2 to the previous term to get the current term
Using the above as a guide, we have:
The common difference, d = 2
First term, a = 50
The nth term of the sequence is calculated as
aₙ = a₁ + (n - 1)* d
Substitute the known values in the above equation
So, we have the following representation
aₙ = 50 + (n - 1)* 2
So, we have
aₙ = 50 + 2n - 2
Evaluate the like terms
aₙ = 48 + 2n
Hence, the nth term is aₙ = 48 + 2n
Read more about sequence at
brainly.com/question/7882626
#SPJ1
If the point A(p−8,4p+5) lies on the line passing through the points M(−2,−5) and N(1,−10), what is the value of p?
The value of p is 0.
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
Given that
Point A(p8,4p+5) is located on a line that connects M(-2,-5) and N(1,-10).
The equation of line that passing through points M and N,
Use the formula of equation of line,
y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)
y-(-5) = (-10+5/1+2)(x-(-2))
⇒ y+5 = -5/3(x+2)
⇒5x+3y +25 = 0 (1)
Since, line passes through point A(p−8,4p+5), so this point A will satisfy the equation (1)
5(p-8)+3(4p+5)+25 = 0
⇒ 17p = 0
⇒ p = 0
The value of p is 0.
To know more about Equation of line on:
https://brainly.com/question/21511618
#SPJ1
You are choosing between two different prepaid cell phone planes. The first plan charges a rate of 26 cents per minute. The second plan charges charges a monthly fee of $19.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
If we use more than 133 minutes then the 2nd plan will be preferable.
Given:
The first plan charges a rate of 26 cents per minute. The second plan charges charges a monthly fee of $19.95 plus 11 cents per minute.
26 cents = $0.26
Let m be the minutes
19.95 + .17m < .32m
Subtract .17m from both sides
19.95 < .32m - .17m
19.95 < .15m
Divide both sides by .15
19.95/.15 < m
133 < m
Learn more about the charges here:
https://brainly.com/question/19886264
#SPJ1
4. Instead of finding even or odd consecutive integers we could also look for integers that differ by a number other then 2. Find three numbers that each differ by 3 such that 5 times the largest integer is equal to three
times the smallest increased by 5 times the middle.
The smallest number is 5, middle number is 8 and largest number is 11.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x be the smallest number.
let x + 3 be the middle number.
let x + 6 be the largest number.
Then, the equation is
5 (x + 6) = 3 x + 5 (x + 3)
5x+ 30 = 3x+ 5x + 15
3x = 30- 15
3x= 15
x= 5
So, the numbers are x = 5, x + 3 = 8, and x + 6 = 11.
Now, the difference between each succeeding number is 3.
5 x 11 = 55
3 x5 + 5 x 8 = 15 + 40 = 55
Hence, the smallest number is 5, middle number is 8 and largest number is 11.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ1
Find the values of the ratios (red to blue) of the perimeter and areas of the similar figures
9 14 (QUICK)
Jim is a preschool teacher. While he was getting ready for his class's snacktime, he put 6 carrots on each plate. If he used 48 total carrots, which equation could be used to determine the number of plates, p, that he used? (Picture shows answer choices)
The equation that can be used to determine the number of plates p, that he used is 6p = 48.
How to represent a situation with an equation?Jim is a preschool teacher. While he was getting ready for his class's snack time, he put 6 carrots on each plate.
He used 48 total carrots. The equation that could be used to determine the number of plates, p, that he used can be represented as follows:
let
p = number of of plates
Therefore,
6 carrots are put on each plate.
He has 48 carrots.
Hence, the equation is 6p = 48
p = 48 / 6
p = 8
Therefore,
number of plates = 8
learn more on equation here: https://brainly.com/question/15014611
#SPJ1
The number of plates he used is can be calculated by 6p = 48
How to determine this?
He was said to put 6 carrots on each plates
And used 48 total carrots altogether
p representing the number of plates
That is, 6 carrots in p places
6 carrots × p
= 6p
Given that 48 carrots used altogether
6p = the total number of carrots
Therefore, 6p = 48
Read more about Word problem
https://brainly.com/question/29529084
#SPJ1
y varies directly as x. If y = 7 when x = 2, find y when x = 3.
X
60°
70° find x can you please help me
Answer:
50 degrees
Step-by-step explanation:
sum of all three angles on any triangle is equal 180 degrees so first we add the first 2 given angles
70+60
130
Now we subtract from 180 to find the unknown angle
180-130
50 degrees
Hopes this helps please mark brainliest
x + 60° + 70 = 180°
( sum of interior angle of triangle is 180° )
x + 130° = 180°
x = 180° - 130°
x = 50°
hope it helps...
