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KATRIN_1 [288]
3 years ago
15

The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3

miles, how far did Amir run?
Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0
Amir ran 1.5 miles in the morning.
loris [4]3 years ago
5 0

Answer:

1.5 miles.

Step-by-step explanation:

We have been given that starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. We are also told that each inch on the map represents 3 miles.

To find distance covered by Amir, we will use proportions as:

\frac{\text{Actual distance}}{\text{Map distance}}=\frac{\text{3 miles}}{\text{1 inch}}

\frac{\text{Actual distance}}{\text{0.5 inch}}=\frac{\text{3 miles}}{\text{1 inch}}

\frac{\text{Actual distance}}{\text{0.5 inch}}*\text{0.5 inch}=\frac{\text{3 miles}}{\text{1 inch}}*\text{0.5 inch}

\text{Actual distance}=\text{3 miles}*0.5

\text{Actual distance}=\text{1.5 miles}

Therefore, Amir ran a distance of 1.5 miles.

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Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries.
nadya68 [22]

Answer:

29%.

Step-by-step explanation:

We have been given that Boyd grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, be weight, of raspberries declined by 50 percent.

First of all, we will find the weight of tomatoes and raspberries using the given information.

Since the production, by weight, of tomatoes declined by 20 percent, so this year production of tomatoes is 80% of 140 pounds.

\frac{80}{100}\times 140=0.80\times 140=112

Since the production, be weight, of raspberries declined by 50 percent, so this year production of raspberries is 50% of 30 pounds.

\frac{50}{100}\times 60=0.50\times 60=30

Total production this year: 112+30=142 pounds.

Now, we will percent decrease formula.

\text{Percent decrease}=\frac{\text{Initial value-Final value}}{\text{Initial value}}\times 100

\text{Percent decrease}=\frac{(140+60)-142}{140+60}\times 100

\text{Percent decrease}=\frac{(200)-142}{200}\times 100

\text{Percent decrease}=\frac{58}{200}\times 100

\text{Percent decrease}=0.29\times 100

\text{Percent decrease}=29

Therefore, the total yield, by weight, of Boyd's garden declined by 29%.

5 0
3 years ago
Decimals from least to greatest please help put in order. 2.2, 2.15, 2.2012, 2.501
Ivan

Answer: 2.15, 2.2, 2.2012, 2.501

4 0
3 years ago
Read 2 more answers
The distance from the school to Brandi's house is 1,240 meters. Leaving the school, she rides her bicycle for 60 seconds at a sp
Alina [70]
14,880 seconds i think
4 0
3 years ago
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
Help me find the answer
never [62]
The answer is letter C.
7 0
3 years ago
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