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algol13
2 years ago
11

I need the answer fast

Mathematics
1 answer:
shepuryov [24]2 years ago
3 0
Area is base x height
20 x 10 = 200in^2
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Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold.
lutik1710 [3]

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

3 0
2 years ago
How much cubic centimeters of dirt must be removed when digging for a foundation of a building if the excavation is 32m long, 12
fredd [130]

Answer:

3,072m

Step-by-step explanation:

32 × 12× 8= 3,072 (This is only you are multiplying them all)

If you are trying to find the area then its: 384m

4 0
2 years ago
Solve the inequality <br><br> −10 ≤ 2x - 4 &lt; 8
Roman55 [17]

Answer:

- 3 is greater than or equal to x is greater than or equal to 6

Step-by-step explanation:

- 10 \leq 2x - 4 \leq 8\\\\-10 + 4\leq 2x - 4 + 4\leq 8+4\\\\-6 \leq 2x \leq  12\\\\\\frac{-6}{2} \leq \frac{2x}{2} \leq \frac{12}{2}  \\\\-3 \leq x \leq 6

Hope this helps!!!!

3 0
2 years ago
1. The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi 2. The scale of a map is 7 in = 16 mi map: 4.9 in actual
alexandr402 [8]
<span>We use ratio and proportion to solve each of these:
</span><span>
</span><span>1. The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi
</span><span>1 in / 19.5 mi = x in / 9.5 mi, x = 0.487 in
</span><span>
</span><span>2. The scale of a map is 7 in = 16 mi map: 4.9 in actual: ______ mi
</span><span>7 in / 16 mi = 4.9 in / x mi, x = 11.2 mi
</span><span>
</span><span>3. The scale factor for a model is 5 cm = ________ m Model : 72.5 cm actual: 165.3 m
</span><span>5 cm / x m = 72.5 cm / 165.3 m, x = 11.4 m
</span><span>
</span><span>4. The scale of a map is 1 in = 9.6 mi map: ________ in actual: 34.7 mi
</span><span>1 in / 9.6 mi = x in / 34.7 mi, x = 3.62 in
</span><span>
</span><span>5. The scale of a map is 1 ft = 9.6 mi map: ________ ft actual: 38.4 mi
</span><span>1 ft / 9.6 mi = x ft / 38.4 mi, x = 4 ft
</span><span>
</span><span>6. The scale factor for a model is 5 cm = ________ m Model : 22.4 cm actual: 155.2 m
</span><span>5 cm / x m = 22.4 cm / 155.2 m, x = 34.64 m
</span><span>
</span><span>7. The scale of a map is 5 in = 10 mi map: 8.7 in actual: ______ mi
</span><span>5 in / 10 mi = 8.7 in / x mi, x = 17.4 mi
</span><span>
</span><span>8. The scale of a map is 1 in = 13.5 mi map: ________ in actual: 65.9 mi
</span><span>1 in / 13.5 mi = x in / 65.9 mi, x = 4.88 in
</span><span>
</span><span>9. The scale factor for a model is 5 cm = ________ m Model : 61.5 cm actual: 143.2 m
</span><span>5 cm / x m = 61.5 / 143.2 m, x = 11.64 m
</span><span>
</span><span>10. The scale factor for a model is 5 cm = ________ m Model : 29.7 cm actual: 179.5 m
</span><span>5 cm / x m = 29.7 cm / 179.5 m, x = 30.22 m
</span>
3 0
3 years ago
Brennan made lemonade for the country fair.He has 12 containers of the same size to fill the first 3.How many gallons of lemonad
marissa [1.9K]
The remaining number is 20
3 0
3 years ago
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