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3 years ago

Solve for x 10x - 72 3x - 4

Mathematics

1 answer:

ratelena [41]3 years ago

8 0

Answer:

Step-by-step explanation:

3x - 4 = $\frac{1}{2}$ (10x - 72)

⇔ 6x - 8 = 10x - 72

⇔ 4x = 64

⇔ x = 16

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Your brother is 1/2 your age. Your sister is 5 years older than your brother. Your sister is 15 years old. Write and solve an eq

nydimaria [60]

Answer:

a=2(s-5)

a(your age): 20

Step-by-step explanation:

a stands for your age

s stands for sister

a=2(s-5)

1-substitute 15 for s a=2(15-5)

2- a=2(10)

the 15-5 stands for sisters age minus five which gives you brothers age, 10. You multiply it by two because your brother is half your age.

3-a=20

check your work:

because your brother is 10 and you are 20, he is half your age (10/20 can be simplified to 1/2)

Hope this helped, if you have any other questions please lmk!

3 0

4 years ago

Which equation has no solution? A 2(x+1)=1 B 2(x+1)=2x+2 C 2(x+1)=2x+1 D 2(x+1)=2

Veseljchak [2.6K]

Answer:

C) 2(x+1)=2x+1 ( No Solution )

Step-by-step explanation:

$2(x+1)=1\\\cfrac{2\left(x+1\right)}{2}=\frac{1}{2}\\x+1=\cfrac{1}{2}\\ x+1-1=\frac{1}{2}-1\\\boxed{x=-\frac{1}{2}}$

$2(x+1)=2x+2\\2x+2=2x+2\\2x+2-2=2x+2-2\\2x=2x\\2x-2x=2x-2x\\0=0$

$2(x+1)=2x+1 \\2x+2=2x+1\\2x+2-2=2x+1-2\\2x=2x-1\\2x-2x=2x-1-2x\\0=-1\\\boxed{No\:Solution}$

$2(x+1)=2\\\cfrac{2\left(x+1\right)}{2}=\cfrac{2}{2}\\x+1=1\\x+1-1=1-1\\x=0$

4 0

2 years ago

Write a linear equation that passes through the point (2,-9) and has a slope of -5

Doss [256]

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

3 0

4 years ago

Two acute triangles are similar. Which of the following must the similar triangle have?

abruzzese [7]

B is the only one that makes sense if you break them each down. An Acute doesnt have every Pair of angles congruent, the don't have to have proportional side lengths, and it can't have a right angle or it would be a right triangle.

7 0

3 years ago

Read 2 more answers

Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain. Choose the correct answer below

Brrunno [24]

Answer:

B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>

We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.

First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).

Second, the 10% condition: the 50 sales represent less than 10% of all purchases.

Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.

If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.

We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:

$\sigma_M=\dfrac{20}{\sqrt{50}}=\dfrac{20}{7.07}=2.83$

Then, we calculate the z-score

$z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{40-32}{2.83}=\frac{8}{2.83} =2.83$

The probabilty can be calculated then as:

$P(X_{50}>40)=P(z>2.83)=0.0023$

5 0

3 years ago