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iren2701 [21]
3 years ago
14

Bill weighs 120 lbs and is gaining ten lbs each month. Phil weighs 150 lbs and is gaining four lbs each month. How many months w

ill it take for bill to wiegh the same as phil?
Mathematics
2 answers:
vaieri [72.5K]3 years ago
5 0
First, let's write two expressions, letting x= the number of months which have elapsed:

Bill: 120 + 10x
Phil: 150 + 4x

If we set them equal to each other, then solve for x, that will be the number of months where their weights equal each other:

120+10x = 150 + 4x   [starting equation]
-120  -4x    -120 -4x    [ subtract 120 from both sides, and 4x from both sides, to isolate the term with the variable]

<u>6x</u> = <u>30</u>     [divide both sides by 5]
 5      5

x=6. They will weigh the same in six months.

Serggg [28]3 years ago
4 0
130,154
140.158
150.162
160,166
170,170

It will take Bill 5 weeks to be the same weight as phil
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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
Ghella [55]

Answer:

<em>PT=30 units</em>

Step-by-step explanation:

Given that:

Line PQ which has a mid point at T.

PT = 3x + 9 and

TQ = 5x -5

To find:

PT = ? in simplified terms.

Solution:

First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.

In other words:

If a point B is the mid point of line segment AC, then AB = BC.

Here, the point T is the midpoint of PQ.

i.e. PT = TQ

3x+9=5x-5\\\Rightarrow 3x-5x=-5-9\\\Rightarrow -2x=-14\\\Rightarrow x=7

Putting value of x in PT above:

PT = 3x+9 = 3 \times 7 +9 \\\Rightarrow \bold{PT=30\ units}

7 0
3 years ago
What is the sum of -14<br> and -15?
Anton [14]
-14 + (-15) = -14 - 15 = -29
Hope it helps !!! Brainliest if it is!!
3 0
3 years ago
Read 2 more answers
using whole numbers, fractions, and decimals, write at least eight addition equations that have the sum of 10
LuckyWell [14K]
<span>Using whole numbers, fractions, and decimals, these are the eight addition equations that have the sum of 10
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4. 6 1/3 + 3 2/3 =10
5. 4 3/5 + 5 2/5=10
6. 9.01+.99=10
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7 0
4 years ago
Suppose 11 people arrive at a bank at the same time. In how many ways can they line up to wait for the next available teller?
tresset_1 [31]
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4 0
3 years ago
Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to
amid [387]

parallel means "same slope (m)"

m = \frac{y2 - y1}{x2 - x1} = \frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}

Now, input the point (0, 0) and the slope (\frac{-5}{3}) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 0 = \frac{-5}{3}(x - 0)

    y = \frac{-5}{3}x

 3y = -5x    <em>multiplied both sides by 3</em>

 0   = -5x - 3y  <em>subtracted 3y from both sides</em>

Answer: C


7 0
3 years ago
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