PLEEEAASSEEE HELP

Find the constant of proportionality and write an equation for the following proportional relationship.

You can buy 14 apples for $28.

Use a to represent number of apples and c to represent the cost

Answers

Answer 1

Answers:

constant of proportionality:  2equation is:  c = 2a

==================================================

Explanation:

a = number of apples purchased

c = cost in dollars

The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).

To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.

We'll update the equation from c = ka to c = 2a

Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.

Answer 2

Answer:

c=2a

Step-by-step explanation:

c=2a


Related Questions

If you divied 5,500,000 divied by 8,800,000 what is the answer??

Answers

Answer:

0.625

Step-by-step explanation:

Just do, 5500000/8800000

Answer:

0.625

Step-by-step explanation:

Because I simplified the fraction

what is 5 taken away from the product of 4 and a number. ​

Answers

Answer:

3

Step-by-step explanation:

Not sure, but let's take 32 to be the answer

4(5+x)=32

4×5= 20

4×x= 4x

20-4x=32

4x=32-20

4x=12

12÷4

x=3

Answer:

4n - 5

Step-by-step explanation:

let the number be n then the product of 4 and this number is 4n

Subtract 5 from 4n gives

4n - 5

PLS HELP!! I WILL GIVE BRAINLIEST

refer to attachments for the question

Answers

In ∆PQR and ∆MNR

PQ=MNQR=RN<Q=<M=90°

Hence by

Side angle side congruency

[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]

Step-by-step explanation:

PQ ≅ MN                    ⇒  Given

QR ≅ NR                     ⇒ Given

R is midpoint of PM    ⇒ Given

PR ≅ MR                      ⇒ Definition of midpoint

ΔPQR ≅ ΔMNR           ⇒ SSS postulate

tim drives at an average of 80km

Answers

Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

Plzzzz help meeee plzzzz

Answers

Answer:

i. 2040  ii.1632

Step-by-step explanation:

I think i did this right..

Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.

Answers

Answer:

Bridget was thinking of the number 592

correct??

Step-by-step explanation:

(X-2)(x+1)
Expand and simplify

Answers

☆Answer :

(x - 2)(x + 1) = ...

= x² + (-2 + 1)x + (-2•1)

= x² - x - 2

Francis graphs the system of equations to determine its solution.


3x+2y=12
3x−y=3


What is the correct solution?


Enter your answer by filling in the boxes.

Answers

Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

What is a Linear Equation?

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

For more reference on Linear Equation, click;

https://brainly.com/question/13738061

#SPJ2

The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?

A. 10
B. 15
C. 18
D.20

Answers

Answer: 15

Step-by-step explanation: you basically add n per sequence.

0+1 = 1

1+2 = 3

3+3 = 6

6+4 = 10

10+5 = 15

Hope this helps

the answer is b which is 15

5^-3/6^-2 Do not Change answer to Decimal Form.
A: 36/125


B: 125/36


C: 5/9


D: 9/5

Answers

[tex]\dfrac{5^{-3}}{6^{-2}}=\dfrac{\left(\dfrac 1{5^3}\right)}{\left(\dfrac 1{6^2}\right)} = \dfrac{1}{5^3} \times 6^2 = \dfrac{36}{125}[/tex]

what is the right answer

Answers

Answer:

C. The third option

Step-by-step explanation:

square root of 3 = 1.73

2/6 = 0.333

254% = 2.54

I hope that this helps!

what is f (x) = (3x^4 +1) ^2

Answers

Answer:

Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2

Step-by-step explanation:

Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?

Answers

Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D

Difference between 42.4 and 3.74

Answers

Answer:

38.66

Step-by-step explanation:

help me please please please

Answers

Answer:(-2, -3)

Step-by-step explanation:

U do it then flip it upside down

DUE IN 2 HOURS HELP QUICK! I WILL GIVE U BRAINLIEST

Answers

3 x 3 = 9, 3 x 3 = 9, 9 x 9 = 81
A is 81

7 x 7 x 7 x 7 = 2,401
2,401 x 7 = 16,807
B is 16,807

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

1000000000/ 10000000 = 100

C is 100

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
390,625/ 5 = 78125
D is 78,125

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]

(b)

7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]

c)

[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²

(d)

[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]

1. Write the following statements in the from of equations. a. One third of a number plus 7 is 26
pls tell step by step ​

Answers

Answer:

1/3x+7=26

Step-by-step explanation:

1/3 of a number which could anything so mark as X

add 7

equals 26

1/3x+7=26

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)











































(cAt)

Answers

Answer:

X = 2

equation x [tex]\leq[/tex] 2

Step-by-step explanation:

You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]

You do this because if you multiply 2*2x and 2*1 you will get 4x+2

Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]

So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like            [tex]2(2x+1)\leq 10[/tex]

So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]

you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5.         [tex]2x+1\leq 5[/tex]  

Now you subtract one from both sides    [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]

you'll get 2x=4

divide both sides by 2 to get x=2

To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]

[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]

since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation

Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line

i need answers thank you

Answers

Answer:

A

Step-by-step explanation:

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later

Answers

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

Need help with this.

Answers

Answer:

A. The reciprocal of 9/10 is 10/9

B.2/3

Step-by-step explanation:

A. A reciprocal is the inverse of a number

B. 3/5*10/9=

30/45 or 2/3

Find the common difference of the arithmetic sequence 13, 21, 29, .

Answers

Answer: 8

Step-by-step explanation:

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.A coffee ta

Answers

For the total multiply the amount by 1 + the meal tax:

25.30 x 1.08 = $27.32

Answer: $27.32

x²-2/p(p²+1)+4
What is the value of factor

Answers

p=2 or p=−1

Explanation:

The roots of a quadratic ax2+bx+c=0 are equal when the discriminant (b2−4ac) is equal to 0

In this case

a=1

b=−2p

c=(p+2)

So the discriminant is

(-2p)2−4(1)(p+2) =4p2−4p−8

which factors as

=4(p−2) (p+1)

and the discriminant

=0 if p=2 or p=−1

Draw and label a figure to represent the congruent triangles. Then find x and y.

please draw and label!!! i will give brainliest.

Answers

Answer:

hope it helps

Step-by-step explanation:

<K=<N

[tex]\\ \sf\longmapsto y+4=2y-15[/tex]

[tex]\\ \sf\longmapsto 2y-y=19[/tex]

[tex]\\ \sf\longmapsto y=19[/tex]

m<K=23°m<N=23°

[tex]\\ \sf\longmapsto 2x-3=5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

PM=5

Diagram attached

Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?​

Answers

Answer:

97 / 60 is what 2/3 + 3/4 + 1/5 comes

They also come to 1 37/60

Step-by-step explanation:

1 37/60 = 97/60           Does it?

Result = 2/3 + 3/4 + 1/5

The common denominator is 3 * 4 * 5 = 60, so that much is true.

2/3 = 40/60

3/4 = 45/60

1/5 = 12 / 60

When you add these three together, the numerator is 40 + 45 + 12 = 97

So the answer is correct.

x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps​

Answers

Answer:

(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)

Step-by-step explanation:

Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlined

pa BRAINLEST pls

Given m∥n, find the value of x and y.(9x+19), (5x-7), (y-1)

Answers

Answer: Your x value would be 12 and your y value would be 128

X = 12

Y = 128

subtract. write your answer as a fraction in simplest form. 5/9 - 2/9 = what​

Answers

Answer:

[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]

hope helpful <3

Answer:

3/9

Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3

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