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2 years ago

15

Hannah has $3.10 in her piggy bank in nickels and quarters. If there are 22 coins in her piggy bank, how many are nickels and ho

w many are quarters? Please explain and show work.

1 answer:

PIT_PIT [208]2 years ago

7 0

Answer:

$12\ nickel$

$10\ quarter$

Step-by-step explanation:

we know that

$1\ nickel=\$0.05$

$1\ quarter=\$0.25$

Let

x------> the number of nickel coins

y-----> the number of quarter coins

we know that

$x+y=22$

$x=22-y$ -----> equation A

$0.05x+0.25y=3.10$ ----> multiply by 100 both sides

$5x+25y=310$ -----> equation B

Substitute equation A in equation B and solve for y

$5(22-y)+25y=310$

$110y-5y+25y=310$

$20y=310-110$

$20y=200$

$y=10\ quarter$

$x=22-y$ ------> $x=22-10=12\ nickel$

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Log 300 =<br> log 3.26 =<br> log 10,000 =<br> log 20 =

ehidna [41]

Answer:

Log300=2.4771

Log3.26=0.5132

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Step-by-step explanation:

log300=2.4771

Log3.26=0.5132

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2 years ago

Statisticians use ______ scores to divide the ______ under a curve the way people use a knife to cut pizza. Just as the pizza is

solong [7]

Answer:

Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.

Step-by-step explanation:

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A z-score is a numerical measurement which is measured in terms of standard deviations from the mean.
Formula:

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2 years ago

What is 6.84 in word form

alexandr402 [8]

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(Note, you don't say, "Six point eighty-four" As it doesn't sound correct.

Cheers.

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2 years ago

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2 years ago

Given: PRST is a square

xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

$PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a$

Thus,

$MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a$

Consider isosceles triangle MSC. In this triangle

$MS=MC=(\sqrt{2}-1)a.$

The area of this triangle is

$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

$A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2$

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2 years ago