Ask question

Ask question

All categories

3 years ago

6

Andrew can paint the neighbor's house 2 times as fast as Bailey. The year Andrew and Baily worked together, it took them 5 days.

How long would it take each to paint the house?

1 answer:

liubo4ka [24]3 years ago

7 0

Andrew = t and bailey =2t
5/t+5/2t=1
2t=5+10
t=7.5,
andrew= 7.5 days and bailey = 15 days
andrew=

You might be interested in

Marla swims twice a week. her equipment cost her $32.85 and she has a membership to the pool for $35 plus #3.50 per visit. she c

evablogger [386]

Around $634.85 per year

Because:

$32.85+$35(12 months)+$3.5(52 weeks in a year)= Total cost per year
$420 $182

$32.85 + $420 + $182 = $634.85 per year

3 0

3 years ago

A total of 192 units is planned, and the number of family units (2 and 3 bedroom townhouses) will equal to the number of 1 bedro

algol13

Answer:

96 one bedroom homes

64 two bedroom homes

32 three bedroom homes

Step-by-step explanation:

If x is the number of 1 bedroom homes, y is the number of 2 bedroom homes, and z is the number of 3 bedroom homes:

x + y + z = 192

x = y + z

x = 3z

Solve the system of equations using substitution or elimination. Using substitution:

x + x = 192

2x = 192

x = 96

z = x / 3

z = 32

y = x − z

y = 64

3 0

2 years ago

Find the amount of tax and the tax rate. Round to two decimal places

Makovka662 [10]

Answer:

The tax amount is 15.17$

The tax rate is 12.4%.

Step-by-step explanation:

First we subtract the cost from the selling price.

137.17 - 122 = 15.17

We have found the tax amount, now for the tax rate.

If tax rate is x, then

122 * x = 137.17

Divide both sides by 122 to get

x = 137.17/122 = 1.124, or .124.

Then convert into percentage by moving the decimal to the right 2 times.

.124 = 12.4%

Hope this helps you

3 0

3 years ago

Read 2 more answers

You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte

Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

$f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \, otherwise }} \right.$

a) We calculate the probability that you need less than 5 minutes to get up:

$P(x$

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate the probability that you will need between 8 and 13 minutes:

$P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3$

Therefore, the probability is P(8<x<13)=0.3.

d) We calculate the probability that you will be late to each of the 9:30am classes next week:

$P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6$

You have 9:30am classes three times a week. So, we get:

$P=0.6^3=0.216$

Therefore, the probability is P=0.216.

e) We calculate the probability that you are late to at least one 9am class next week:

$P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1$

Therefore, the probability is P=1.

3 0

2 years ago

Tara has 2000 in her savings account David has 1/10 as much as Tara in his account how much does David have in his savings accou

Paraphin [41]

200$ because if you do 2000dovided by 10 then it will equal=200 so loook 200x10=2000 so 1/10=200

7 0

3 years ago