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melamori03 [73]
2 years ago
8

t="\small\bold\green{{help}}" align="absmiddle" class="latex-formula">​

Mathematics
1 answer:
Zina [86]2 years ago
8 0

9514 1404 393

Answer:

  1. y = -2/3x +5/3
  2. y = 2.4x -8

Step-by-step explanation:

Solve for y. The slope (m) is the coefficient of x. The y-intercept (b) is the constant.

1. 3y = -2x +5

  y = -2/3x +5/3 . . . . . m = -2/3, b = 5/3

__

2. y = 2.4x -8 . . . . . . . m = 2.4, b = -8

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A protein mix claims to contain a bonus of 20% more mix than the usual size container. If the bonus size contains 18 ounces of m
agasfer [191]

Answer:

The usual size of the container is 15 ounces.

Step-by-step explanation:

Consider the provided information.

A protein mix claims to contain a bonus of 20% more mix than the usual size container.

Let the usual size of the container was x ounces.

They increase 20% of usual size and the bonus size is 18 ounces.

Therefore, the new size should be:

x+20\%x=18

x(1+0.20)=18 (∴20%=\frac{20}{100}=0.20)

x(1.20)=18

x=\frac{18}{1.20}

x=15

Hence, the usual size of the container is 15 ounces.

3 0
3 years ago
If p varies directly with T and p =105 when T=400.Find p when T =500
kumpel [21]

Answer:

<h3>p = 131.25</h3>

Step-by-step explanation:

The variation p varies directly with T is written as

p = kT

where k is the constant of proportionality

To find p when T =500 we must first find the formula for the variation

That's

when p = 105 and T = 400

105 = 400k

Divide both sides by 400

<h3>k =  \frac{21}{80}</h3>

So the formula for the variation is

<h2>p =  \frac{21}{80} T</h2>

when

T = 500

Substitute it into the above formula

That's

p =  \frac{21}{80}  \times 500

Simplify

The final answer is

<h3>p = 131.25</h3>

Hope this helps you

7 0
3 years ago
Is this a rational number
ra1l [238]

Answer:

Note that it is not a perfectly elastic result so it is <em>irrational</em><em> </em>

7 0
3 years ago
Select the correct answer.
svet-max [94.6K]

9514 1404 393

Answer:

  C.  y = 50x + 3.5

Step-by-step explanation:

100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...

  y = 50x +3.5 . . . matches choice C

4 0
3 years ago
Which expression represents:<br> the sum of a number and 12<br> N 12<br> 1 x 12<br> 12 m<br> 12
marysya [2.9K]
Sum is the result of adding so
12 + x, but i don't see it as a option.
7 0
3 years ago
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