Which of the following variable expressions represents the word phrase

What is the 8th number in the arithmetic sequence 26, 31, 36, 41, 46...

bulgar [2K]

Answer 61

Step-by-step explanation:

The answer is 61 bc the pattern is +5

8 0

3 years ago

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The equation y = -16t^2 - 60t + 54 describes the height (in feet) of a ball thrown downward at 60 feet per second from a height

Yuliya22 [10]

0 = -16t^2 -60t +54
t = 0.75 seconds
solving by the quadratic equation or graphing calculator or completing the square.

7 0

3 years ago

A rectangle of perimeter 74 cm is 7cm longer than it is wide. what is the length of each side?

Mumz [18]

I assume that you mean: the length is 7cm more than the width, and the perimeter is 74 cm.

If so, we can write down the following system, where l and w represent, respectively, the length and the width:

$\begin{cases}l=w+7\\2(l+w)=74\end{cases} \iff \begin{cases}l=w+7\\l+w=37\end{cases} \iff \begin{cases}l=w+7\\(w+7)+w=37\end{cases}$

We can easily solve the second equation:

$(w+7)+w=37 \iff 2w+7=37 \iff 2w=30 \iff w=15$

And finally solve for the length:

$l=w+7=15+7=22$

6 0

4 years ago

When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to

Korvikt [17]

Answer:

Part a) The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

Part b) The scale factor is 1.5

Part c) The constant of proportionally for this relationship is 1.5

Part d) The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

Let

x ----> the quantity of cups of milk

y ----> the quantity of tablespoons of chocolate syrup

k ---> the constant of proportionality

For y=3, x=2 -----> $k=\frac{y}{x}=\frac{3}{2}=1.5$

For y=12, x=8 -----> $k=\frac{y}{x}=\frac{12}{8}=1.5$

For y=3/2, x=1 -----> $k=\frac{y}{x}=\frac{(3/2)}{1}=1.5$

For y=15, x=10 -----> $k=\frac{y}{x}=\frac{15}{10}=1.5$

therefore

The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

The linear equation is

$y=1.5x$

That means----> The the quantity of tablespoons of chocolate syrup is 1.5 times the quantity of cups of milk

The scale factor is equal to the ratio between tablespoons of chocolate syrup and cups of milk. Is equal to the constant of proportionality k

The scale factor is 1.5

The constant of proportionality is 1.5

The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

$\frac{tablespoons\ of\ chocolate\ syrup}{cups\ of\ milk}$

3 0

3 years ago

Find the length of a segment in the coordinate plane with endpoints (-4,-5) and (8, 1).

Vitek1552 [10]

Answer:

Step-by-step explanation:

d = 13.416408

For:

(X1, Y1) = (-4, -5)

(X2, Y2) = (8, 1)

8 0

2 years ago

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