A lemonade recipe calls for 1/4 cup of lemon juice for every cup of water.

BD=16 and ÁT is the<br> perpendicular bisector of BD. Y=?

iren2701 [21]

Answer:

$y= 5$

Step-by-step explanation:

Given

$BD = 16$

$BC = 2y - 2$

$CD = y + 3$

Required

Find y

$BD = BC + CD$

So, the expression becomes

$16 = 2y - 2 + y + 3$

Collect like terms

$16 = 2y + y- 2 + 3$

$16 = 3y+1$

Collect like terms

$3y = 16 - 1$

$3y = 15$

Make y the subject

$y= 15/3$

$y= 5$

8 0

3 years ago

Ms. Perry bought a plant and is tracking the height of the plant each week. If y represents the height of the plant, in inches,

VMariaS [17]

Answer:

When Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

Step-by-step explanation:

The rate of change, or slope, represents the rate at which the height of the plant increased per week.

Use the points (2 , 10) and (4 , 15) from the table to calculate the rate of change, also known as the slope.

y2 - y1 = 15 inches-10 inches

x2 - x1 4 weeks-2 weeks

2.5 inches/1 week or 2.5 inches per week

So, the rate of change is 2.5 inches per week.

Now, find the y-intercept, b, by using the equation y = mx + b, where m is the slope of the line represented by the given table of values and (x , y) is any point on the line.

Substitute m = 2.5 and (x , y) = (2 , 10) in the above equation to find out the initial height of the plant.

y=mx+b

10=2.5 (2) + b

5=b or b=5

So, the initial height of the plant was 5 inches.

Therefore, the situation represented by the table is when Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

5 0

3 years ago

Kathy needs money for a trip to Europe if she has US$300 in the bank but wants to withdraw half of it In British pounds and half

Aleks [24]

Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.

Step-by-step explanation:

She has US$300, and she will withdraw half of it on pounds, and half of it in euros.

(half of US$300 is US$150)

We know that:

1 pound = US$1.6

(1 pound/US$1.6) = 1

Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.