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ivanzaharov [21]
4 years ago
12

Need help with # 7 and #8!

Mathematics
1 answer:
telo118 [61]4 years ago
3 0
7) BC + CD = BD

(4x - 29) + (5x-9) = 7x -10
9x - 38 = 7x - 10 (when you transpose you change the sign)
9x - 7x = - 10 + 38
2x = 28
x = 14

8) BD = BC

5x - 26 = 2x + 1
5x - 2x = 1 +26
3x = 27
x = 9
if x = 9, then BC = 2x + 1 = 2(9) + 1 = 19
or 
AB = AC - BC
AB = 43 - 19
AB = 24


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The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?
Bess [88]

Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14.  But this does not tell us how many dimes nor how many quarters we have.  Instead, it's a ratio.  Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes        2n

----------------------------- = -----

Number of quarters     14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes).  Notice how the total of 42 and 6 is 48.

7 0
3 years ago
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Dmitrij [34]
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7 0
3 years ago
Factor completely x^8 − 625.
Gala2k [10]

Answer:(X^2-5)(x^2+5)(x^4+25)

Step-by-step explanation:

3 0
3 years ago
Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?
aliina [53]

Answer:

42

Step-by-step explanation:

Let the number be "x"

We translate the word equation to algebraic equation.

First,

subtract 6 from me, so we have:

x - 6

Now,

Multiply by 2, so we have:

2(x-6)

Now,

Subtract 40, then divide by 4:

\frac{2(x-6)-40}{4}

Now, you get "8", so equate this to 8, we get:

\frac{2(x-6)-40}{4}=8

We now solve using algebra:

\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42

The number is 42

7 0
3 years ago
I wanted to know if my answer is correct and if it isn't please correct it.
k0ka [10]

Answer:10

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

the answer will be 10

4 0
1 year ago
Read 2 more answers
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