All categories

3 years ago

Solve the equation -10X +1 + 7X = 37

Mathematics

1 answer:

Leya [2.2K]3 years ago

4 0

Answer:

X = -12

Step-by-step explanation:

-10X + 1 +7X = 37

-10X + 7X + 1 = 37 {Add the like terms}

-3X + 1 = 37 {Subtract 1 form both sides}

-3X + 1 -1 = 37 -1

-3X = 36 {Divide both sides by (-3)}

$\frac{-3x}{-3}=\frac{36}{-3}\\\\$

X = -12

You might be interested in

I need help on number 3 I don’t know how to solve it and I also need help on 4 /6/7 please this is due tomorrow!!!!!

kow [346]

On the second month plant B. would be equal to the height of plant a (14 Cm). Therefore your answer would be THE THIRD MONTH.

6 0

3 years ago

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th

Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / $\frac{5}{2}$ m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = $\frac{5}{2}$ m

Volume of the large fridge = $\frac{5\times 2}{2}$ = 5m³

Ratio of the volumes of the large and regular fridge = $\frac{5}{2}=2.5:1$

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

3 0

2 years ago

A 160-lb man carries a 5-lb can of paint up a helical staircase that encircles a silo with radius 20 ft. If the silo is 90 ft hi

zheka24 [161]

Weight of man and paint = 160 + 5 = 165 total pounds.

Gravitational force is independent of the path taken so we can ignore the radius of the silo.

Work done = total weight x height

The problem says he climbs to the top so overall height is 90 feet

Work = 165 lbs x 90 ft = 14,850 ft-lbs

5 0

3 years ago

Find the variance of this probability distribution. Round to two decimal places.

attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

$\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\$

Where:

$X: Values \\\mu: Mean \\N: Number\ of\ values$

The mean can be calculated as each value multiplied by its probability

$\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15$

$\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6$

Replacing the mean and the summatory of X:

$\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775$

4 0

3 years ago

janelle has $75. She buys jeans that are discounted 30% and then uses an in-store coupon for $10 off the discounted price. After

kicyunya [14]

If you want to the know the total price of the jeans, with discount coupon and sales tax then it's $15.76

$75 x 0.30 = $22.50

$22.50 - $10 = $12.50

$12.50 + $3.26 = $15.76

7 0

3 years ago