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3 years ago

Shawna took a test that had a total of 20 items. She got 4/5 of the items correct. How many items did she get correct?

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

Shawna got 16 items correct

Step-by-step explanation:

To find the percentage of answers or part of total answers we multiply the fraction with the total number of items.

Given

Total items on test = 20

Correct items fraction = 4/5

Then,

$Correct\ items=\total\ items * \fraction\ of\ correct\ answers\\= 20 * \frac{4}{5}\\=\frac{80}{5}\\=16$

Shawna got 16 items correct

Keywords: Percentage, fractions

Learn more about fractions at:

#LearnwithBrainly

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Sue has $2.80 in dimes and nickels. If she has 13 more dimes than nickels, how many of each coins does she have?

olga55 [171]

I have seen this question before and I think you meant 10 more dimes than nickels.

We can use substitution to answer this question. The value of a nickel is 5 cents, and we can use the variable n to represent the number of nickels. The value of a dime is 10 cents, and we can use the variable d to represent the number of dimes.

First lets figure out the equations.
.10d+.5n=2.80 (the number of nickels (n) multiplied by .5 will tell us their money value. Same thing for the dimes)
d-n=10 (since there are 13 more dimes than nickels, the number of dimes value (d) minus the number of nickels value (n) will give us 10)

Now lets isolate a variable in one of the equations, preferably the second one because it doesn't have any visible coefficients,

d-n=10
-n=10-d (subtracted the d from both sides)
n=-10+d (made the n positive)

Now that we have the value of n, we can plug it into the other equation.

.10d+.05n=2.80
.10d+.05(-10+d)=2.80 (we replaced the n with the value that we previously got)
.10d-.5+.05d=2.80 (did the multiplication)
.15d-.5=2.80 (combined like terms)
.15d=3.30 (added the .5 to both sides)
d=22 (divided both sides by the .15)

Now that we know that there are 22 dimes and we also know that there are 10 less nickels than dimes, so we can subtract 10 from 22 to get the number of nickels. 22-10=12

d=22
n=12

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3 years ago

What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?

nata0808 [166]

Answer:

$y=2x+7$

Step-by-step explanation:

The correct question is

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2x+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

the opposite reciprocal is m=2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2\\point\ (-2,3)$

substitute

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

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-3=2x+4$

$y=2x+4+3$

$y=2x+7$

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3 years ago

Use f(x)=-2x+5 to find x when f(x)=11

Damm [24]

When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.

Then you subtract 5 on both sides because of the opposite of addition is subtraction.

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now divide on both sides

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Colt1911 [192]

$\frac{12 - 10}{10}$
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evablogger [386]

Can't understand your language

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