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3 years ago

1/8 divided by ? = 1/40 fill in the question mark

Mathematics

2 answers:

erik [133]3 years ago

3 0

Answer:

Step-by-step explanation:

1/8 divided by 5 equals 1/40

yawa3891 [41]3 years ago

3 0

Answer:

$\frac{\frac{1}{8}}{5}=\frac{1}{40}$

Step-by-step explanation:

Let 'x' be the number to which 1/8 had to be divided to get 1/40

so the equation becomes

$\frac{1}{8}\div \:x=\frac{1}{40}$

$\frac{\frac{1}{8}}{x}=\frac{1}{40}$

$\frac{1}{8x}=\frac{1}{40}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$1\cdot \:40=8x\cdot \:1$

$40=8x$

switch sides

$8x=40$

Divide both sides by 8

$\frac{8x}{8}=\frac{40}{8}$

$x=5$

x=5 is the number.

Therefore,

1/8 divided by 5 = 1/40

i.e.

$\frac{\frac{1}{8}}{5}=\frac{1}{40}$

SOLUTION CHECK

$\frac{\frac{1}{8}}{5}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{c}=\frac{a}{b\cdot \:c}$

$=\frac{1}{8\cdot \:5}$ ∵ $\frac{\frac{1}{8}}{5}=\frac{1}{8\cdot \:5}$

$=\frac{1}{40}$

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48% of US adults have very little confidence in newspapers you randomly selected 10 US adults. Find the probability that the num

aivan3 [116]

Answer:

$P(x = 5) = 0.2441$

Step-by-step explanation:

Given

$p = 0.48$ --- proportion that have very little confidence

$n = 10$ --- sample

Required

Determine the probability that exactly 5 have very little confidence

This question will be solved using binomial probability:

$P(x) = ^nC_xp^x(1-p)^{n-x}$

In this case: x = 5.

So, we have:

$P(x = 5) = ^{10}C_5*0.48^5(1-0.48)^{10-5}$

$P(x = 5) = ^{10}C_5*0.48^5*0.52^5$

$P(x = 5) = 252*0.48^5*0.52^5$

$P(x = 5) = 0.2441$

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3 years ago

Ali Clara and Shane raise money for new books for the school library all Ellie rays 20% more than Clara and $58 more than Shan C

Vikki [24]

Answer:

a. $435

b. 33.33%

Step-by-step explanation:

P.S - The exact question is -

Let Clara raised money = x

As given,

Ali raised 20% more than Clara

⇒Ali raised money = $x + \frac{20}{100}x = x + \frac{1}{5} x = \frac{6}{5}x$

Also given,

Clara raised $\frac{1}{4}$ times more than Shan

Clara raised money = Shan raise money + $\frac{1}{4}$ times shan raired money

⇒Clara raised money = $\frac{5}{4}$ Shan raised money

⇒Shan raised money = $\frac{4}{5}$ times Clara

⇒Shan raised money = $\frac{4}{5}$ x

As given,

Ali raised $58 more than shan

⇒ $\frac{6}{5}x = \frac{4}{5}x + 58$

⇒ $\frac{6}{5}x -\frac{4}{5} x = 58$

⇒ $\frac{2}{5}x = 58$

⇒x = (29)(5) = $145

∴ we get

Clara raised money = x = $145

Ali raised money = $\frac{6}{5}x$ = $174

Shan raised money = $\frac{4}{5}$ x = $116

a.)

Total raised money = $145 + 174 + 116 = $435

b.)

Percentage of money Clara raised = $\frac{145}{435}$ ×100% = $\frac{1}{3}$ ×100% = 33.33%

3 0

3 years ago

The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

3 years ago

Round 254.47 to the nearest tenth

Annette [7]

254.5

Hope this helps! :)

4 0

3 years ago

Read 2 more answers

A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?

rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

90% is equivalent to 0,90.
5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
13.17% is equivalent to 0.1317.
245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

55.90% of 200 is equal to: $200 \times 0.5590 = 111.8$

360% of 88 is equal to: $88\times 3.6 = 316.8$

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that $230\times 1.07 = 246.1$ , therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

4 0

3 years ago