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ycow [4]
4 years ago
11

Solve the system of equations 2x+3y=1 y=3x+15 (___,___)

Mathematics
2 answers:
nata0808 [166]4 years ago
4 0

<span><span>{2x+3y=1
{y=3x+15</span></span>

<span><span>2x+3(<em>3x+15)</em>=1</span></span>

<span><span>2x+9x+45=1</span></span>

<span><span>11x=-44</span></span>

<span>x=-4</span>

<span>y=3*(-4)+15</span>

<span>y=-12+15=3</span>

<span>y=3</span>

<span><em /><em><u>The answer</u>  </em>(-4; 3)
</span>

Allisa [31]4 years ago
3 0
2x + 3y = 1
y = 3x + 15

Get the same variables on each side

3y = 1 - 2x
y = 15 + 3x

Multiply both sides of that second equation by 3 so we can subtract.

3y = 1 - 2x
3y = 45 + 9x

Subtract the equations from each other.

0 = -44 - 11x

Solve.

44 = -11x
-4 = x

Use x in an earlier equation to find y.

y = 3x + 15
y = 3 * -4 +15
y = -12 + 15
y = 3

x = -4, y = 3
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Building A is 170 feet shorter than building B. The total height of the two building is 1490 feet. Find the height of each build
Archy [21]

Answer:

Building A is 660 feet and Building B is 830 feet

Step-by-step explanation:

Let x represent the height of building B.

Since building A is 170 feet shorter than building B, it can be represented by x - 170.

Create an equation and solve for x:

(x) + (x - 170) = 1490

2x - 170 = 1490

2x = 1660

x = 830

So, the height of building B is 830 feet.

Subtract 170 from this to find the height of building A:

830 - 170

= 660

Building A is 660 feet and Building B is 830 feet

3 0
3 years ago
Create a set of five positive numbers (repeats allowed) that have a median of 10 and a mean of 14. What thought process did you
Rainbow [258]
We have five value in the data-set

The third value will be 10 since we want the median to be 10

We want the mean to be 14

To find the mean of a data set, we divide the sum of the values by the number of values

Mean = Sum of values ÷ Number of values
14 = Sum of values ÷ 5
Sum of values = 14 × 5
Sum of values = 70

So we need 5 values that add up to 70, one of the value is 10, which is the median. We would want two values that are smaller than 10 and two values more than 10.

These four value must add up to 70 - 10 = 60

From here we can do trial and error:

Choose any two values less than 10, say 9 and 8
We now have in total 8 + 9 + 10 = 27

We have 70 - 27 = 43 left to find
Choose any two values that are bigger than 10 that add up to 43, for example, 20 and 23

Now we have our 5 values; 

8        9         10        20         23

Do the checking bit:

We can see from the set, the median is 10
Mean = [8+9+10+20+23] ÷ 5 = 70 ÷ 5 = 14

We can have values other than 8, 9, 20 and 23 as long as two values smaller than 10 and two values more than 10. All five values must add up to 70.


3 0
4 years ago
Factor out the coefficient of the variable.<br> The expression 38d+34 factored is
mixer [17]
<span>the answer is 2(19d+17)</span>
5 0
3 years ago
What is the value of r, the part of the job that Marina can complete in 1 hour?
EastWind [94]

Answer:

0.4

Step-by-step explanation:

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer 

5 0
4 years ago
Can someone please help me?100% sure please
Arturiano [62]
The answer is D one trillion percent 
7 0
3 years ago
Read 2 more answers
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