Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.

The perimeter of a tennis court is 210 feet if the tennis court is 27 feet wide, what is the length

Troyanec [42]

I got this:

Tennis court is a rectangle
(Rectangle - 2 sides the same length and the other 2 sides the same. So 2 pairs of equal length sides)

If one is 27 the other has got to be 27 as well - 27+27= 54
210 - 54 = 156
156 / 2 = the other "pair"

Hope that helps and correct me if I'm wrong!

4 0

3 years ago

If 75% of x is 150, what is the value of x?

vagabundo [1.1K]

I'm not sure if this is correct but you would put it into an equation while you solve for X. so 0.75x=150 or equivalently would be like (3/4)x=150 Then after that you would divide both sides by 0.75 or 3/4

7 0

3 years ago

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th

devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor Coefficient

Constant 3.0979

Square root of items 2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

$\hat{y}=3.0979+2.7633x$

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

$\hat{y}=3.0979+2.7633(22)$

$\hat{y}=63.8905$

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

8 0

4 years ago

A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it c

777dan777 [17]

Answer:

1250 $ft^{2}$

Step-by-step explanation:

We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.

Let the length of the rectangle be 'X' feet and width be 'Y' feet.

As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.

As, X + 2Y = 100 → X = 100 - 2Y

Now, the area of the rectangle = XY = X × ( 100 - 2Y ).

i.e Area of the rectangle = $-2Y^{2} +100Y$ .

The general form of a quadratic equation is $y=ax^{2}+bx+c$ .

The maximum value of a quadratic equation is given by $x=\frac{-b}{2a}$ .

Therefore, the greatest value of $-2Y^{2} +100Y$ is at Y = $\frac{-100}{2 \times -2}$ = $\frac{-100}{-4}$ = 25.

Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.

Hence, the area of the rectangle is XY = 50 × 25 = 1250 $ft^{2}$ .

3 0

4 years ago

A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug,

Helen [10]

9514 1404 393

Answer:

459 mg
about 20 hours

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

__

a) After 4 hours, the amount remaining is ...

r(4) = 1450·0.75^4 ≈ 458.79 . . . mg

About 459 mg will remain after 4 hours.

__

b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

r(t) < 5

1450·0.75^t < 5 . . . . use the function definition

0.75^t < 5/1450 . . . . divide by 1450

t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

t > 19.708

It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

7 0

3 years ago