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fiasKO [112]
3 years ago
11

Mr. Walker, a runner, asked students to find the unit rate of the winner of the first Boston Marathon in 1897. John J. McDermott

ran the marathon in 175 minutes. The length of the course was only 24.5 miles instead of 26 miles as it is today. What was the unit rate?
Mathematics
1 answer:
EleoNora [17]3 years ago
6 0

Answer: 8.4 miles per hour

Step-by-step explanation:

Since, total distance = 24.5 miles,

Time taken =  175 \text{ minutes} = \frac{175}{60} \text{ hours} =\frac{35}{12} \text{ hours}

Thus,

\text{ The unit rate} = \frac{\text{ Total distance}}{\text{ Time taken}}

=\frac{24.5}{35/12}

=\frac{294}{35}

=8.4\text{ miles per hour}

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Pepsi [2]
X=4
Step 1: Simplify both sides of the equation.
1.5(x+4)-3=4.5(x-2)
(1.5)(x)+(1.5)(4)+ -3 =(4.5)(x)+(4.5)(-2)
(1.5x) + ( 6+-3) =4.5x - 9
(Combine like terms)
1.5x+3=4.5x-9

Step 2: Subtract 4.5x from both sides.
1.5x +3 -4.5x =4.5x=-9-4.5x-3x+3=-9

Step 3: Subtract 3 from both sides.
-3x+3-3=-9-3
-3x=12

Step 4: Divide both by -3
-3x/-3=-12/-3
X=4
6 0
3 years ago
Pls help i dont understand :( will mark brainliest!!
kolezko [41]

Answer:

375< y < 525

Step-by-step explanation:

The minimum is 15* 25 = 375

the maximum is 15 * 35 =525

He can earn any amount between these two values

7 0
3 years ago
Chase makes 2 gallons of soup for a dinner party. He serves 10 cups of soups to his guests. How many cups of soup will he have l
iVinArrow [24]

1 gallon = 16 cups

 2 gallons = 16 x 2 = 32

32-10=22

 there will be 22 cups left over

4 0
3 years ago
Read 2 more answers
The age of a boy is twice that of his sister. five years ago the boy was 3 times the age of his sister. How old is the boy
joja [24]

<em>Answer</em><em>:</em>

<h2><em>2</em><em>0</em><em> </em><em>years</em><em> </em><em>old</em><em>.</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>sister</em><em> </em><em>be</em><em> </em><em>X</em>

<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>boy</em><em> </em><em>be </em><em>2</em><em>x</em>

<em>Now</em><em>,</em>

<em>Five</em><em> </em><em>years</em><em> </em><em>ago</em><em>,</em>

<em>3(x - 5) = 2x - 5 \\ or \: 3x - 15 = 2x - 5 \\ or \: 3x - 2x =  - 5 + 15 \\ x = 10</em>

<em>Again</em><em>,</em>

<em>Repla</em><em>cing</em><em> </em><em>value</em><em>,</em>

<em>age \: of \: boy = 2x \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 2 \times 10 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 20</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

7 0
3 years ago
The Apple harvest produced 2,350kg of Apple's. A farmer packs 36 apples in the box. One apple weighs approximately 250 grams how
jenyasd209 [6]

Answer:

Step-by-step explanation:

The total number of apples produced at the apple harvest is 2,350kg.

1 kg = 1000 grams. Therefore,

2350 kg = 2350 × 1000 = 2350000kg

A farmer packs 36 apples in the box. If one apple weighs approximately 250 grams, the total weight of 36 apples would be

36 × 250 = 9000 grams

Therefore, the number of boxes that are needed to pack the apples would be

2350000/9000 = 261.11

It means that 262 boxes would be needed.

5 0
2 years ago
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