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densk [106]
3 years ago
10

A plumber finds that 4/5 of pipe joint compound is needed for each home. How many holes can be plumbed with 212 cans of compound

?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

your answer would be 265 holes because 212 divided by 4/5 is 265

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Help me pleaseee!!!!!!!!!
torisob [31]

Answer:

90°

Step-by-step explanation:

All circles are equal to 360°. Since the pie chart is a circle, if you added all of the central angles for all three sections, it would total to 360°.

Since the circle is not divided into 360 parts for each degree, but 100 parts for each percent %.

You can <u>solve using an equivalent</u>. Write each fraction in the form "Lemonade" over "total". The left side is percentage, the right side is degrees.

Let x be the central angle for lemonade

\frac{25}{100}=\frac{x}{360}

Solve for the central angle of lemonade by <u>isolating 'x'</u>. To isolate x, move  360 over to the other side. When moving numbers in an equivalent, you do the opposite operation to both sides. Since 'x' divides by 360, multiply 360 on both sides.

\frac{25}{100}=\frac{x}{360}

360*\frac{25}{100}=360*\frac{x}{360} 360 cancels out on the right

\frac{360*25}{100}=x         Combined multiplication in numerator

\frac{9000}{100}=x        When dividing, 0s cancel out

\frac{90}{1}=x       Simplify fraction over 1

x = 90      Answer

Therefore the central angle in the Lemonade section is 90°.

4 0
4 years ago
Kevin can travel 22 1/2 miles in 1/3 hour .What is the average speed in miles per hour?
Fantom [35]
You can choose to answer this with fractions or decimals. I'll choose fractions because we won't need calculators. 22 1/2 miles "in" 1/3 hour, means 22 1/2 mi divided by 1/3 hour.
22 1/2 = [(22×2) + 1] ÷ 2 = 45/2
So (45/2)mi ÷ (1/3)hr is the same as (45/2) × (3/1), or (45×3)/2 = 135/2, which is 67 1/2, or 67.5 mi/hr (mph).
8 0
3 years ago
Explain why applying a vertical translation and then a horizontal translation produces the same result as applying a horizonatal
Tanya [424]
Because it wouldn't matter which direction you go in first. For example would it matter if you took two steps left then three forward or if you took three forward and then two left. It wouldn't because you would end up in the exact same place.
4 0
3 years ago
Read 2 more answers
Display the set of data in a histogram.
VARVARA [1.3K]

Answer:

The answer to your question is the third histogram

Step-by-step explanation:

What we must check in a histogram is that the x-axis is represented the intervals and in the y-axis is represented the frequency.

The first histogram is incorrect just by observing the first bar, we notice that the correct frequency from 0 to 4 is 3, not 14. This histogram is incorrect.

Also, the second histogram is incorrect, the frequency of the first category is 3, not 12. This histogram is wrong.

The third histogram is correct because all the bars are in agreement with their frequencies.

The last histogram is incorrect, for example, the last frequency is 12, not 3.

4 0
3 years ago
If (5-3i)(x+iy)/(4-5i) = (2+i)^2-(3-4i)^2, then x=___ and y=____
Leona [35]
This looks complicated

lets simplify both sides

By multiplying top and bottom by the conjugate:-

left side  =  (5-3i)(x + iy) (4+5i)          (5-3i)(x + iy) (4+5i) 
                  ------------------------   =      ------------------------
                        (4-5i)(4+5i)                           41

right side =  (2 + i + 3-4)(2+i - 3 + 4i)    (by  Difference of 2 squares)

               =  5-3i)(-1 + 4i)

so as left side = right side

(5-3i)(x+yi)(4+5i)   = 41 (5-3i)(-1+5i)

5-3i is common so:-

(x + iy)(4+5i) = 41(-1+5i)

4x +5xi + 4yi - 5y = -41 + 205i

4x - 5y + (5x + 4y)i = -41 + 205i

EQuating coefficients we are left with the system of equations

4x -  5y = -41
5x + 4y  = 205

solving this gives x = 21 and y = 25


8 0
3 years ago
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