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4 years ago

8÷0.5×4+7solve problem

Mathematics

2 answers:

Elodia [21]4 years ago

8 0

I’m pretty sure it’s 71

sleet_krkn [62]4 years ago

4 0

to make it easier for you, format the equation like this:

((8÷0.5)×4)+7 = A

you first Divide 8 by 0.5, you will get 16

Then you multiply 16 by 4, you will get 64

and finnally you add seven, you will get a total of 71

so A = 71

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At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b

Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

So, Tanya bought 3 items, costing x+x+x = 3x

Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost, [item cancels out]

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

The cost for Tony's items was: (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

"Tanya and Tony paid the same amt. of money"

This is an equation (the same amount means equals)

Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

3x = 4(x-2.25)

Now, the math:

b.) Solve the equation. Show your work.

3x = 4(x-2.25)

3x = 4x - 9.00 [distributive principle; multiply]

-x = -9.00 [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

x = 9.00 [multiply both sides by (-1)]

[note: to "solve for x" means to find the value(s) of x that make the equation true,

so let's see if it is true --]

c.) Check your solution. Show your work.

Is 3x = 4(x-2.25), when x=9.00 ?

3(9.00) = 4(9.00-2.25) ?

27.00 = 36.00 - 9.00 ?

27.00 = 27.00 ?yes

d) State the solution in a complete sentence.

The problem started with: "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

I would write: "Tanya bought 3 items, each costing $9.00. Tony bought 4 items, each costing $6.75. Tanya and Tony each paid $27.00."

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Meghan needs to make a recipe that

DochEvi [55]

I do believe it is 14 2/3

5 0

3 years ago

How do you solve 27?

dedylja [7]

We have

$\left(\dfrac{2}{3}\right)^x=\dfrac{2^x}{3^x}$

And we want

$\dfrac{2^x}{3^x}=\dfrac{16}{81}=\dfrac{2^4}{3^4}$

Another way to read it is

$\dfrac{16}{81}=\left(\dfrac{2}{3}\right)^4=\left(\dfrac{2}{3}\right)^x$

It should be clear that the solution is $x=4$

8 0

3 years ago

Read 2 more answers

Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.

Rus_ich [418]

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

= $\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})$

= $\frac{1}{2}(3.14)(10)^2+(40\times 20)$

= 157 + 800

= 957 square feet

8 0

3 years ago

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh

mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

$H_0: p \leq 0.4$

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

$H_1: p > 0.4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that $p = 0.4, \sigma = \sqrt{0.4*0.6}$

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

$n = 200, X = \frac{90}{200} = 0.45$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}$

$z = 1.44$

Thus the correct answer is given by option a.

8 0

3 years ago