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77julia77 [94]
2 years ago
8

Solve each of these equations. Explain or show your reasoning.

Mathematics
1 answer:
Svetlanka [38]2 years ago
4 0

1.

2(x+5)=3x+1 \\2x+10=3x+1 \\-x=-9 \\x=9

2.

3y-4=6-2y \\5y=10 \\y=2

3.

3(n+2)=9(6-n) \\3n+6=54-9n \\12n=48 \\n=\frac{48}{12}=4

Hope this helps.

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Tanya spent 1/5 of her allowance on candy and 2/3 on food. What fraction of her allowance did Tanya spend on food and candy alto
kari74 [83]
13/15 of her allowance was spent in total.

To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.

Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.

Then, you add the two fractions together (10/15 + 3/15 = 13/15).

Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.

Hope this helped!!!
8 0
3 years ago
Select the equation of the line to the equation y=-4x-6 and that passes through the point (1,2)
omeli [17]
I don't see a list of options, but I know that the answer is y = -4x + 6.

Point - Slope Form: y - y₁ = m(x - x₁)

y - 2 = -4(x - 1)

y - 2 = -4x + 4
  + 2          + 2
--------------------
y = -4x + 6
7 0
3 years ago
Translate into algebraic expression and simplify: ''Ten times the sum of a number and three'' b) nine substracted from twice a n
hichkok12 [17]

Step-by-step explanation:

a)\\n-\text{the number}\\\\\text{Ten times the sum of a number and three:}\\\\\boxed{10\times(n+3)=10(n+3)}\\\\b)\\n-\text{the number}\\\\\text{Nine substracted from twice a number}:\\\\\boxed{2n-9}

4 0
3 years ago
T.L. and Quina plan to add a 6-inch thick layer of gravel to their driveway. The driveway is 15 yards long and 3 yards wide. Wha
Artemon [7]

Answer:

Step-by-step explanation:

The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as

Volume = L × W × H

Where

H represents the thickness of the gravel to be added to the driveway.

W represents the width of the driveway.

L represents the length of the driveway.

From the information given,

L = 15 yards

W = 3 yards

H = 6 inches.

36 inches = 1 yard

6 inches = 6/36 = 0.167 yard

Therefore, the volume of gravel required would be

V = 15 × 3 × 0.167 = 7.515 cubic yards

7 0
3 years ago
11,22,22,13,24,22 find the hunderds too
earnstyle [38]

Answer:

excuse me, but how do we answer this? This question is unanswerable without it being a question!

Step-by-step explanation:

5 0
2 years ago
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