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3 years ago

In twenty years, Kayleen will be four times older than she is today. What is her current age?

1 answer:

eduard3 years ago

8 0

Well there is to equations here that must be equal. X+20=4X Four times old means 4X+X=5X.

If you work to simply the problem you get something that looks like this:
X+20=5X
20=4X
x=20/4 or 5 y/o!

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1<br> Solve: -1/2x+2=-x+7

sveticcg [70]

The correct should be X=10

6 0

3 years ago

Read 2 more answers

Let’s look at another one of Homer’s rocket launches. It was launched from ground level with an initial velocity of 208 feet per

kozerog [31]

Answer:

Smax = 676 ft

the maximum altitude (height) the rocket will attain during its flight is 676 ft

Step-by-step explanation:

Given;

The height function S(t) of the rocket as;

S(t) = -16t2 + 208t

The maximum altitude Smax, will occur at dS/dt = 0

differentiating S(t);

dS/dt = -32t + 208 = 0

-32t +208 = 0

32t = 208

t = 208/32

t = 6.5 seconds.

The maximum altitude Smax is;

Substituting t = 6.5 s

Smax = -16(6.5)^2 + 208(6.5)

Smax = 676 ft

the maximum altitude (height) the rocket will attain during its flight is 676 ft

8 0

3 years ago

60 minutes is 20% of ? minute s

Hatshy [7]

60 minutes is 20% of 300 minutes

3 0

2 years ago

Read 2 more answers

A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o

Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

$\mu = 400, \sigma = 30$ .

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{420 - 400}{30}$

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

3 0

1 year ago

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t

Ilia_Sergeevich [38]

Answer: 220

<u>Step-by-step explanation:</u>

Children (x): $2

Teens (y): $3, $\frac{3}{4}x$

Adults: (z): $5

Quantity: x + y + z = 570 ⇒ x + $\frac{3}{4}x$ + z = 570 ⇒ 1.75x + z = 570

Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3 $(\frac{3}{4}x)$ + 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950

Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>

4.50x = 900

x = 200

Teens (y): $\frac{3}{4}x$

y = $\frac{3}{4}(200)$

= $\frac{600}{4}$

= 150

Quantity: x + y + z = 570

200 + 150 + z = 570

350 + z = 570

z = 220

6 0

2 years ago