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andrew-mc [135]
3 years ago
14

The price of 6 cans of soda is $5.10. What is the constant of proportionality that relates the cost in dollars, y, to the number

of cans of soda, x?
Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer:

about $1.17 for each soda

Step-by-step explanation:

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2,803 x 406. Estimate the product first. ≈ ________________ × ________________
Advocard [28]

Answer:

approximately 1,148,000

Step-by-step explanation:Round 2,803 to 2,800 and 406 to 410 then multiply 2,800 by 410

8 0
2 years ago
Use the area of the rectangle to find the area of the triangle
bezimeni [28]

Answer:

The area of the Triangle is 1/2 the area of the Rectangle

The answer is D.

Step-by-step explanation:

Ignore the area of the rectangle for the moment, just so you can get the answer.

Area Triangle = 1/2 * b * h

Area Triangle = 1/2 * 8 * 4

Area Triangle = 1/2 32

Area Triangle = 16 square feet.

The area of the rectangle = L * W

L = 8

W = 4

Area of the rectangle = 8*4 = 32

3 0
3 years ago
Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?
Vilka [71]

Answer:

\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

\sf \implies p(x)=- x^3+cx^2-4x+3

And the factor is ,

\sf \implies g(x) = x + 3

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}

<h3><u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>is </u><u>(</u><u>-</u><u>1</u><u>4</u><u>)</u><u>/</u><u>3</u><u> </u><u>.</u></h3>
4 0
3 years ago
If you placed $1,000.00 in a savings account with an interest rate of 4.5% month versus an account with 3.75% month, how much in
Setler [38]

The answer would be C. Hope this helps!

7 0
3 years ago
A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5
Nuetrik [128]

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6

4 0
2 years ago
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