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Paraphin [41]
3 years ago
6

A climbing gym charges $10 to climb each day. A pair of climbing shoes costs $84. It costs $169 to buy 6 days of climbing, one p

air of climbing shoes, and one harness. How much does a harness cost?
Mathematics
2 answers:
deff fn [24]3 years ago
8 0
25$ for the harness 
60 for the 6 days 
and 84 for the shoes

Andrej [43]3 years ago
4 0
10 times how many days and then add 84 dollars and make it equal 169 dollars
So it would be
10d+84+h =169 then the six would go in for “d” like this
10(6)+84+h=169 because (h= harness cost) then you would multiply 10 times 6 witch is 60+84+h=169 then you would add 60+84 144+h=169 then u subtract 144 from both sides
144+h=169
-144 -144
h=25 the harness cost $25 I’ll explain more if u need just let me know
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6 0
3 years ago
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
Janet has 17 quarters and $13 in bills. How much total money does she have?
galben [10]
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8 0
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What happens when a line segment is dilated from a point on the line?
irina [24]

Answer:

Step-by-step explanation:

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2 years ago
A diagram showing a neighborhood park is plotted on the coordinate plane. Each unit on the coordinate plane represents 1 yard. F
grandymaker [24]

Answer:

Step-by-step explanation

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= √ (5^2 + 7^2) = √74.

The right sloping line

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Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14

= 96.

3 0
2 years ago
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