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3 years ago

Elyse uses 42 gallons of water in a 10-minute shower. Write and solve a prediction problem that uses this information

Mathematics

1 answer:

kvv77 [185]3 years ago

7 0

Let

x-----> the time in minutes

y------> the number of gallons of water

we know that

the unit rates is equal to

$\frac{y}{x} = \frac{42}{10}=4.2\frac{gal}{min}$

the unit rate is equal to the slope of the linear equation

then

$y=4.2x$

Problem

1) How many gallons of water will Elyse use in three minutes in the shower?

For x=3 minutes

substitute in the equation above

$y=4.2x$

$y=4.2*3$

$y=12.6 gal$

the answer is

12.6 gal

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The length of the diagonal of a rectangle is √181 inches. Which statement describes the length of the diagonal?

lakkis [162]

Answer:

The correct option is (B).

Step-by-step explanation:

The length of the diagonal of a rectangle is $\sqrt{181}$ inches.

Compute the value of $\sqrt{181}$ inches as follows:

The number 181 is not a square of a whole number.

So, the square root of 181 must lie between two whole numbers.

Consider the following squares:

$12^{2}=144$

$13^{2}=169$

$14^{2}=196$

It is quite clear that the 181 lies between the square of 13 and 14.

So, it can be said that the square root of 181 is between the square of 13 and 14.

Thus, the length of the diagonal of a rectangle is between 13 and 14 inches.

The correct option is (B).

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3 years ago

If f(x) = 4x -11 what is the value of f(5)

sdas [7]

the answer is nine

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3 years ago

How do you solve to get y?

dmitriy555 [2]

Answer:

y = 64

Step-by-step explanation:

Using the rule of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

Given

$log_{y}$ 4 = $\frac{1}3}$ , then

4 = $y^{\frac{1}{3} }$

Cube both sides

4³ = ( $y^{\frac{1}{3} }$ )³, hence

y = 64

3 0

3 years ago

Rectangle JKLM is reflected across the x-axis and then the y-axis. The point I was

Sunny_sXe [5.5K]

Reflection involves mirroring a point over a line.

When L is reflected across the x and y axes, the new coordinates are (7,3)

Given that:

$(x,y) \to (-7,-3)$

When a point is reflected across the x-axis, the rule is:

$(x,y) \to (x,-y)$

So, we have:

$(-7,-3) \to (-7,3)$

When a point is reflected across the y-axis, the rule is:

$(x,y) \to (-x,y)$

So, we have:

$(-7,3) \to (7,3)$

Hence, the new coordinates of L are (7,3)