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Oxana [17]
3 years ago
10

Farah's brother is 7 years less than twice Farah's age, f. The sum of Farah's age and

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

f+(2f-7)=41

Step-by-step explanation:

Farah's age is represented by the first f and her brother's age is represented by the (2f-7) and the sum of their ages is 41, therefore this is the correct answer

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1 gallon minus 1 quart 1 pint and 1 ounce?
barxatty [35]
That would be zero becuase there are 4 quarts ina gallon and 8 pnts and 16 ounces
5 0
3 years ago
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Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure wi
evablogger [386]

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

<u>Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.</u>

4 0
3 years ago
if you invested $45,000 for 8 months at an interest rate of 2.75 % how much interest would you earn?​
Masteriza [31]

Answer:

You'd earn $825 in interest.

Step-by-step explanation:

The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  Because 8 months constitutes 2/3 year, we have:

i = $45,000·(0.0275)(2/3) = $825.

You'd earn $825 in interest.

4 0
3 years ago
Two dice are rolled; the numbers add to 11.
Roman55 [17]

Answer:

5+6

7+4

8+3

9+2

10+1

11+0

Step-by-step explanation:

there are infinite possibiltiys

ex:

10.000000001+0.000000009

3 0
3 years ago
50 points
mixer [17]

Answer:

c = -13.78.

Step-by-step explanation:

21.2x + c  ≡ 5.3(4x - 2.6)

21.2x + c  ≡ 21.2x - 13.78

Equating constant terms:

c = -13.78.

7 0
2 years ago
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