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Maksim231197 [3]
2 years ago
6

Fill in the blanks to explain how Harry can check whether his solution is correct

Mathematics
1 answer:
Tresset [83]2 years ago
5 0

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply \frac{1}{3} by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

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Simplify number 17 please
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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
AND THEN ONCE U HAVE THE ANSWER <br>FIND THE LENGTH OF AC ​
Vadim26 [7]

Answer:

AC=18

Step-by-step explanation:

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144-64=b²

80=b²

√80=√b²

8.94427191=b

That is for one of the two right triangles that make up the tent.  Since there are 2 triangles, 8.94427191 only equals BC or AB.  So, multiply 8.94427191×2=17.88854382 to find the length of AC.

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6 0
2 years ago
If f'(0) = 5 and F(x) = f(3x), what is F'(0)?
Llana [10]

Answer:

\displaystyle F'(0) = 15

Step-by-step explanation:

We are given that:

f'(0) = 5 \text{ and } F(x) = f(3x)

And we want to find F'(0).

First, find F(x):

\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]

From the chain rule:

\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}

Then:

\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}

In conclusion, F'(0) = 15.

7 0
2 years ago
Read 2 more answers
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