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3 years ago

QUICK WILL MARK BRAILEST 25 POINTS

Mathematics

1 answer:

IRINA_888 [86]3 years ago

7 0

Answer:

Make the box 5 units by 2 units

Step-by-step explanation:

5×2=10, and since the formula for the area of a rectangle is length times width, you want this to be the dimensions. Hope this helps!

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What is the solution to the inequality |2n+5| > 1 ?

Serhud [2]

Answer:

n > -2 or n < -3

Step-by-step explanation:

|2n+5| > 1

We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative

2n+5 > 1 or 2n+5 < -1

Subtract 5 from each side

2n+5-5 > 1-5 2n+5 -5 < -1 -5

2n >-4 2n < -6

Divide by 2

2n/2 > -4/2 2n/2 < -6/2

n > -2 or n < -3

4 0

3 years ago

Mr. Vander Heydens tie costs 3 times as much as Mr bentelys tie. Together they spent $128. What what the price of each of their

Artyom0805 [142]

128 / 4 =32

Mr Bentleys tie is $32
Mr. Vander Heydens is $96

3 0

4 years ago

After 30 s, a runner is sprinting at 3 m/s. But, 10 s later, the runner is sprinting at 3.8 m/s. What is the runner's accelerati

erik [133]

We can consider that the runner did an acceleration of 0.8 m.s during the 10 seconds of difference.
We can deduce that the runner did an acceleration of 0.08 m.s every second during this time.

8 0

4 years ago

Read 2 more answers

n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that

BartSMP [9]

Answer:

The calculated t- value = 1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ) = 5.4

Given sample size 'n' = 9

Mean of the sample (x⁻) = 5.7

Standard deviation of the sample (s) = 0.81

Step(ii):-

Null Hypothesis: H₀: The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

Alternative Hypothesis : H₁: μ ≠ 5.4

Level of significance = 0.025

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }$

t = 1.11

Degrees of freedom

ν = n-1 = 9-1 =8

t₀.₀₁₅ , ₈ = 2.89

The calculated t- value = 1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4

7 0

3 years ago

I need help on number 16 these instructions say to solve these equations by cross multiplying

Grace [21]

Answer:

15. x = 4

16. a = 19

Step-by-step explanation:

"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."

$\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}$

This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:

x = 6(2/3) = 4

That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.

$\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}$

8 0

3 years ago