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Korolek [52]
3 years ago
7

If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

<u>-19  -19</u>

3m-19=-n      Divide everything by -1 to make n positive.

<u>/-1        /-1</u>

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        <u>-95 -95</u>

-13m=-65                    Divide both sides by -13.

<u>/-13    /-13</u>

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

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A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and
USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse  with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

e=\sqrt{1-(\frac{b}{a})^2}

e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}

Focus =ae =\sqrt{7}

Thus string should be nailed at 2.64 m from center

8 0
3 years ago
Can somewon help me plz can somewon help me
Karolina [17]

Hey there! I'm happy to help!

Let's look at our diameters.

1*10^2^1\\5*10^2^2

We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.

\frac{5*10^2^2}{1*10^2^1} \\

We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x

\frac{5*10^2^2}{1*10^2^1} = 5*10=50

Therefore, your answer is 50.

Have a wonderful day! :D

3 0
3 years ago
Read 2 more answers
The yellow rose taxi service charges $1.75 per passenger and $2.25 per mile for a ride . How much will the yellow rose taxi serv
Ann [662]

Answer:

$40.50 for the miles and 1.75 x P (passangers)

Step-by-step explanation:

Since $2.25 is the fee for miles, 2.25 x 18 = $40.50

and since it depends on the group, ima say its probably 3, the passenger fee would be $5.25

that would add up to about $45.75

but if there is a different amount of passengers, just multiply it by $1.75 then add it to $40.50!

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3 years ago
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Vaselesa [24]
To show how you decided, the simple way would be to draw a picture. Create 2 rectangles of the same length and divide them up according to the fraction. Then shade the number of pieces for the numerator and compare both fractions. Whichever is longer is the greater fraction.
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3 years ago
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