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Nuetrik [128]
2 years ago
11

8x - 2 + 4x + 10 + 3x + 5 = 180

Mathematics
1 answer:
erik [133]2 years ago
5 0

Answer: 11\frac{2}{15}

Step-by-step explanation:

What you are trying to do is isolate the variable x. For you to do that you have to first simplify the left side of the equation and then you solve for x.

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jan, mya, and Sara ran a total of 64 miles last week. jan and mya ran the same number of miles. Sara ran 8 less miles than mya.
Debora [2.8K]
So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.
2A + A - 8 = 64

Collect Like Terms
3A - 8 = 64

Add 8 to both sides
3A = 72

Divide both sides by 3
A = 24

Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24

Substitute
S = 24 - 8
S = 16

Check
24 + 24 + 16 = 64
64 = 64 This checks.

So,
J = 24
M = 24
S = 16
4 0
3 years ago
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12. State whether the number 97 is prime, composite, or neither.
Sophie [7]

Answer:

97 is a prime number.

I hope this helps <3


8 0
2 years ago
What is the product?( square root 3x+ square root 5) (square root 15x+ 2 square root 30)
hichkok12 [17]
(\sqrt{3x}+\sqrt5)\cdot(\sqrt{15x}+2\sqrt{30})\\\\=(\sqrt{3x})(\sqrt{15x})+(\sqrt{3x})(2\sqrt{30})+(\sqrt5)(\sqrt{15x})+(\sqrt5)(2\sqrt{30})\\\\=\sqrt{(3x)(15x)}+2\sqrt{(3x)(30)}+\sqrt{(5)(15x)}+2\sqrt{(5)(30)}\\\\=\sqrt{45x^2}+2\sqrt{90x}+\sqrt{75x}+2\sqrt{150}\\\\=\sqrt{9x^2\cdot5}+2\sqrt{9\cdot10x}+\sqrt{25\cdot3x}+2\sqrt{25\cdot6}\\\\=\sqrt{9x^2}\cdot\sqrt5+2\sqrt9\cdot\sqrt{10x}+\sqrt{25}\cdot\sqrt{3x}+2\sqrt{25}\cdot\sqrt6
=3x\sqrt5+2\cdot3\sqrt{10x}+5\sqrt{3x}+2\cdot5\sqrt6\\\\=3x\sqrt5+6\sqrt{10}+5\sqrt{3x}+10\sqrt6
3 0
3 years ago
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jessica packed 1 inch cubes into a box with a volume of 144 cubic inches. how many layers of 1 inch cubes did jessica pack?
Dominik [7]
Your answer is 1 layer
5 0
2 years ago
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During a sale, every item in a store is 80% of its regular price
garri49 [273]
$10 multiply by .80 is $8
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$1 is .20 cents
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