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3 years ago

5{-3.4k-7} + {3k+21}

Mathematics

1 answer:

lina2011 [118]3 years ago

8 0

The answer is −14k−14. Hope this helps.

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Which number would divide the numerator and the denominator of the first fraction to yield the second fraction? 14 18 ÷ ? ? = 7

Paha777 [63]

Step-by-step explanation:

14÷2=7

18÷2=9

for the first equation

14/y=7

cross multiply will be

7y=14

divide both sides by the co efficient of y which is 7

y=14÷2

y=2

same step for the second equation

6 0

3 years ago

Round 716,487,250 to the nearest million.

IRINA_888 [86]

7 million because 1 is closer to 7 than to 8

6 0

3 years ago

Daniella collected 4242 bushels of peas from her garden today. Tomorrow she will send \frac{3}{7} 7 3 of the peas to market. H

Vaselesa [24]

Answer: 24

Step-by-step explanation:

Amount of bushels of peas collected = 42

Fraction that'll be sent to market = 3/7

Fraction that'll be kept = 1 - 3/7 = 7/7 - 3/7 = 4/7

The number of bushels that'll be kept will be:

= Fraction that'll be kept × Total number of bushels collected

= 4/7 × 42

= 24

7 0

3 years ago

Lines y and z are parallel.

Mrac [35]

Answer:

28 degrees

Step-by-step explanation:

step 1

Find the measure of angle 1

$m\angle 1+65^o=180^o$ ----> by supplementary angles

$m\angle 1=180^o-65^o=115^o$

step 2

Find the value of x

$(10x+5)^o=m\angle 1$ ----> by corresponding angles

substitute

$(10x+5)^o=115^o$

$10x=110\\x=11$

step 3

Find the measure of angle 2

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle 1+m\angle 2+(4x-7)^o=180^o$

substitute

$115^o+m\angle 2+(4(11)-7)^o=180^o$

$m\angle 2=180^o-152^o=28^o$

3 0

3 years ago

Read 2 more answers

The average daily volume of a computer stock in 2011 was ų=35.1 million shares, according to a reliable source. A stock analyst

Shtirlitz [24]

Answer:

The null hypothesis is $H_o : \mu = 35 .1 \ million \ shares$

The alternative hypothesis $H_a : \mu \ne 35.1\ million \ shares$

The 95% confidence interval is $27.475 < \mu < 37.925$

Step-by-step explanation:

From the question the we are told that

The population mean is $\mu = 35.1 \ million \ shares$

The sample size is n = 30

The sample mean is $\= x = 32.7 \ million\ shares$

The standard deviation is $\sigma = 14.6 \ million\ shares$

Given that the confidence level is $95\%$ then the level of significance is mathematically represented as

$\alpha = 100-95$

$\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is $Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{ \sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 14.6 }{\sqrt{30} }$

$E = 5.225$

The 95% confidence interval confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

substituting values

$32.7 - 5.225 < \mu < 32.7 + 5.225$

$27.475 < \mu < 37.925$

6 0

3 years ago