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katovenus [111]
2 years ago
15

Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has

Mathematics
2 answers:
Gnom [1K]2 years ago
5 0

Answer:

m+b=24

m=b+4

Step-by-step explanation:

on edg

Sauron [17]2 years ago
4 0

Answer:

Miguel has video games = 14

Beth has video games = 10

Step-by-step explanation:

Miguel has video games = m

Beth has video games = b

We make the equations:

m=b+4 (Miguel has  4 more video games than Beth)

m+b=24 (together they have a total of 24 video games)

So, the system of equations is:

m=b+4\\m+b=24

Now, solving these system of equations to find values of m and b

Let:

m=b+4--eq(1)\\m+b=24--eq(2)

Put value of m from equation 1 into equation 2

m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10

We get value of b: b=10

Now, finding value of m by putting value of b in equation 1

m=b+4\\m=10+4\\m=14

So, We get value of m: m= 14

Therefore:

Miguel has video games = m = 14

Beth has video games = b = 10

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3 years ago
Hi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please. Id really appreciat
Dvinal [7]

Answer:

314 m²

Step-by-step explanation:

the formula for the surface area of a sphere (As) is

As = 4×pi×r²

the radius r (half of the diameter) is clearly indicated as 5m.

so, As = 4×3.14×5² = 4×3.14×25

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7 0
2 years ago
Please help asap! this isn’t too hard but i am still confused.
juin [17]

Answer:

The consecutive even numbers are 28, 30, 32, 34

Step-by-step explanation:

let the four consecutive even numbers be: b d f h,

such that:

b=b, d=b+2, f=b+4, h=b+6.

Therefore, 2(b+b+2)=3(b+6)+14

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3 years ago
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13x=-21-6y and -8x=36+6y
IgorLugansk [536]

Answer:

x=3\\y=-10

Step-by-step explanation:

13x=-21-6y\\-8x=36+6y

Let's take one of the equations and solve for x. I'll take the first one.

13x=-21-6y

Divide by 13.

x=\frac{-21-6y}{13}

Now replace x in the second equation.

-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y

Distribute -8

\frac{168+48y}{13}=36+6y

Break down the fraction.

\frac{168}{13}+\frac{48}{13}y=36+6y

Subtract \frac{168}{13}

\frac{48}{13}y=36+6y-\frac{168}{13}

Subtract 6y

\frac{48}{13}y-6y=36-\frac{168}{13}

Combine like terms;

\frac{48-13*6}{13}y=\frac{36*13-168}{13}

Solve;

\frac{48-78}{13}y=\frac{468-168}{13}

Keep solving;

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Multiply by the negative reciprocal of the fraction next to y.

(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

y=-10

After having found y, replace it in any of the equations to find x.

13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3

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