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n200080 [17]
3 years ago
8

Please help me ]ppppppppppppppp​

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

the answer would be -16j2k or the last choice.

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar
Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

0.25q+0.50h+1.00d=74

\displaystyle{h=\frac{3}{5}d+1}

q=4(d+h)

Then, substitute <em>q</em> in the first equation with the expression from the third equation:

0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74

Next, substitute <em>h</em> in that equation with the expression from the second equation:

\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}

2d+0.9d+1.5=74\\2.9d+1.5=74

Solve for <em>d</em>, the number of one-dollar coins:

2.9d+1.5=74\\2.9d=72.5\\d=25

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{h=\frac{3}{5}(25)+1}

h=15+1\\h=16

Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164

Then, verify that the coins total $74:

0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{16=\frac{3}{5}(25)+1}

16 = 15 + 1\\16 = 16\\\text{Check.}

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}

6 0
3 years ago
What is the converse of the following conditional statement? If x = –10, then x2 = 100
tangare [24]
The converse would be If x² = 100 then x = -10

So essentially if the conditional statement is p → q then the converse is q → p (In essence, the converse of a conditional statement  is formed by interchanging the hypothesis and the conclusion.)


8 0
3 years ago
Determine the slope of a line that goes through (2,7) and (11,10)
tia_tia [17]

Answer:

1/3

Use the slope formula and simply the fraction.

4 0
3 years ago
What fraction is equivalent to 36/60
kykrilka [37]
If you simplify 36/60, you get 3/5, which makes it equivalent 
<u />3/5 IS THE ANSWER

8 0
3 years ago
Read 2 more answers
Can you use any two of the given data points in a scatter plot to write an equation for a trend line? Explain.
poizon [28]

Answer:

Use graph paper to create a scatter plot. Draw the x- and y- axes, ensure they intersect and label the origin. Ensure that the x- and y- axes also have correct titles. Next, plot each data point within the graph. Any trends between the plotted data sets should now be evident.

5 0
2 years ago
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