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3 years ago

What is the solution to -2(3 x - 9) + 5 x = -10? -28 -8 8 28

Mathematics

2 answers:

Luba_88 [7]3 years ago

8 0

Answer:

the answer is D.) 28

Step-by-step explanation:

3*28=84

84-9=75

75*-2= -150

5*28=140

-150+140= -10

Semenov [28]3 years ago

7 0

Answer: x=28

Step-by-step explanation:−2(3x−9)+5x=−10

(Distribute)

(Combine Like Terms)

Step 2: Subtract 18 from both sides.

Step 3: Divide both sides by -1.

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What is the exact volume of the cone? with a 5 ft radius and a 16 ft height

andrew11 [14]

Answer:

The volume is 418.93 ft^3

Step-by-step explanation:

Here, we want to find the volume of a cone

Mathematically, we use the formula;

V = 1/3 * pi * r^2 * h

r = 5 ft

h = 16 ft

Substituting these values;

V = 1/3 * 3.142 * 5^2 * 16

V = 418.93 ft^3

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2 years ago

A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5

olga nikolaevna [1]

Answer: 80 feet

Step-by-step explanation:

We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:

5 * 128 = 8x

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3 years ago

Suppose you are finding 296 divided by 4 using partial quotients. Is 50 or 70 a more reasonable partial quotient? Explain.

Lyrx [107]

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3 years ago

Multiply. Write your answer as a fraction in simplest form.

viva [34]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri

Softa [21]

Answer:

The data item is $X = 580$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that $\mu = 400, \sigma = 60$

z=3

We have to find X when Z = 3. So

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

$3 = \frac{X - 400}{60}$

$X - 400 = 3*60$

$X = 580$

The data item is $X = 580$

6 0

3 years ago