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givi [52]
3 years ago
11

Write the sentence as an inequality. 5 is no greater than 4 times a number minus 2.5.

Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Answer:

<em>5 ≤ 4x - 2.5</em>

Step-by-step explanation:

<u>Inequalities</u>

The expression "no greater than" can be better expressed as "less or equal than".

The expression 4 times a number, being x the unknown number can be written: 4x

Thus, the equivalent inequality of the sentence is:

5 ≤ 4x - 2.5

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What is the value of x?<br><br> Enter your answer in the box<br><br> (Please hurry)
GaryK [48]

Answer:

\large\boxed{x=20}

Step-by-step explanation:

The whole triangle and small triangle are similar (AA). Therefore the sides are in proportion:

\dfrac{5x+10+10}{10}=\dfrac{121+11}{11}

\drac{5x+20}{10}=\dfrac{132}{11}          <em>cross multiply</em>

11(5x+20)=(10)(132)       <em>use distributive property</em>

(11)(5x)+(11)(20)=1320

55x+220=1320            <em>subtract 220 from both sides</em>

55x=1100          <em>divide both sides by 55</em>

x=20

7 0
4 years ago
3v=4.8 what is v anwser
fredd [130]

Answer:

1.6=v

Step-by-step explanation:

5 0
3 years ago
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From a sample of 37 graduate​ students, the mean number of months of work experience prior to entering an MBA program was 35.15.
kiruha [24]

Answer: (29.35, 40.95)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

As per given , we have

\overline{x}=35.15

\sigma=18

n= 37

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, the confidence interval for the population mean will be :

35.15\pm (1.96)\dfrac{18}{\sqrt{37}}

=35.15\pm (1.96)\dfrac{1.7}{6.08276}

=35.15\pm (1.96)(2.95918)

\approx35.15\pm5.80

=(35.15-5.80,\ 35.15+5.80)=(29.35,\ 40.95)

Hence, a 95​% confidence interval for the population​ mean = (29.35, 40.95)

8 0
3 years ago
This is too much for me <br> if you know please answer
SOVA2 [1]

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

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8 0
3 years ago
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If DAB = 80°, then DAC =
vodka [1.7K]

Answer:

80

Step-by-step explanation:

DAB =DAC...........

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