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KATRIN_1 [288]
3 years ago
11

Question Which ordered pairs are solutions to the equation 5x + 6y = 13?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Answer:

(-3,14/3)

see below. You can use anything you like.

Step-by-step explanation:

5x+6y=13

I can sub any value for either x or y and then I try to solve for the other ones.

I am going to say x=-3

5(-3)+6y=13

-15+6y=13

6y=28

y=14/3

ordered pair=(x,y)

=(-3,14/3)

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It took team rise over run 1 2/3 hours to hike 4 2/3 miles. What is their average speed in miles per hour?
pogonyaev

To find their average miles per hour we can divide the total miles by the hour used:

4 2/3 ÷ 1 2/3

=4x3+2/3 ÷ 1x3+2/3

=14/3 ÷ 5/3

In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.

=14/3 x 3/5

Factorize 3 in both amounts:

=14/1 x 5/1

=14/5

=2.8 miles/hour

Therefore their average speed is 2.8 miles/hour.

Hope it helps!

8 0
3 years ago
James had a peach that was 98 mm in diameter. One day he watered it with a magical solution, and it grew to 188,869 mm
svp [43]

To determine how many times larger the peach got, you will divide the new diameter by the original diameter length.

188869/98 = 1927.2

 

The new diameter is approximately 1927 times longer.

To convert this to scientific notation, move the decimal point from the end (on the right) to between the 1 and the 9 to get 1.927.

Then count the number of decimal places you moved to get there, because this represents how many groups of 10 you adjusted your place value by and then becomes your exponent in scientific notation.

1.927 x 10^3 times is the answer in scientific notation.

4 0
3 years ago
Container A and container B are right circular cylinders. A has a radius of 4 inches and a height of 5 inches while container B
Bess [88]

Answer:

8 in

Step-by-step explanation:

RA = 4 in, RB = 2 in

oil height in A = hA = 2 in

Find oil height in B = hB

volume of oil in A = VA = π*RA² * hA

equal amount means volume of oil in B VB = VA

But VB = π*RB² * hB

so π*RA² * hA = π*RB² * hB

then

hB = hA *(RA/RB)² = 2 * (4/2)² = 8 in

7 0
2 years ago
Read 2 more answers
What's 97156 divided by 107
olganol [36]
The answer is 908. Your welcome.
3 0
3 years ago
Read 2 more answers
Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

6 0
3 years ago
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