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dexar [7]
3 years ago
7

Solve −4(x + 10) − 6 = −3(x − 2). (1 point)

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Hey there!!

Given equation :

... -4 ( x + 10 ) - 6 = -3 ( x - 2 )

Using the distributive property :

... -4x - 40 - 6 = -3x + 6

Combining like terms :

... -4x - 46 = -3x + 6

Adding 46 on both sides :

... -4x = -3x + 52

Adding 3x on both sides :

... -x = 52

... x = -52

Hope helps!

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32 is 90% of what number?
spayn [35]

Answer:

\large\boxed{32\ is\ 90\%\ of\ 35\dfrac{5}{9}}

Step-by-step explanation:

<h3>METHOD 1:</h3>

\begin{array}{ccc}32&-&90\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\90x=3200\qquad\text{divide both sides by 90}\\\\x=\dfrac{3200}{90}\\\\x=\dfrac{320}{9}\\\\x=35\dfrac{5}{9}

<h3>METHOD 2:</h3>

\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\\dfrac{32}{9}&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+\dfrac{32}{9}=32+3\dfrac{5}{9}=35\dfrac{5}{9}

3 0
3 years ago
Charlotte's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric sto
nekit [7.7K]

Answer:

<em>159 feet of fabric</em>

Step-by-step explanation

We are told that 1 curtain is 36inches long

Since 1 foot = 12inches

x foot = 36inches

Cross multiply;

12 * x = 36

12x = 36

x = 36/12

x = 3

Hence 36inches is same as 3 feet

If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;

1 curtain = 3feet

53 curtain = y

y = 53 *3

<em>y = 159 feet</em>

<em>Hence she will need 159 feet of fabric</em>

<em> </em>

8 0
3 years ago
Help with exercise
GalinKa [24]

The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The zscore is given a:

z = (raw score - mean) / standard deviation

mean = 225, standard deviation o = 10.

a) For x = 200:

z = (200 - 225) / 200 = -0.125

For x = 220:

z = (220 - 225) / 200 = -0.025

P(-0.125 < z < -0.025) = P(z < -0.025) - P(z < -0.125) = 0.4880 - 0.4483 = 3.97%

b) For x = 190:

z = (190 - 225) / 200 = -0.175

P(z < -0.025) = P(z < -0.175) = 0.4286

The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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