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sweet [91]
3 years ago
8

Can someone help me with this two problems?

Mathematics
1 answer:
ANEK [815]3 years ago
3 0

2x+4y=0

substitute y with 0

2x+4(0)=0

solve the equation

2x+0=0

2x=0

divide by 2 on both sides

x=0

4x+8y=7

substitute y with 0

4x+8(0)=7

solve the equation

4x+0=7

4x=7

divide by 4 on both sides

x=7/4 or x=1 3/4 or x=1.75

3x-7y=-29

2x+2y=6

solve the bottom equation

3x-7y=-29

x=3-y

substitute for x

3(3-y)-7y=-29

solve the equation

y=19/5

now substitute for y

x=3-\frac{19}{5}

solve for x

x=-4/5

the possible solution of the system is the ordered pair

(x,y)=(-\frac{4}{5} ,\frac{19}{5})

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The number of girls in Mrs. Manning’s classes was 12 less than twice the number of boys. She had a total of 108 students in her
FromTheMoon [43]

40 boys and 68 girls

let's start with variables and an equation.

boys: x

girls: 2x - 12

and we know that boys and girls make up the class. so let's add the two expressions.

x + 2x - 12 = 108

3x - 12 = 108

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3x = 120

x = 40 boys

BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.

2x - 12 = # of girls

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let's check our answer!

68 + 40 does in fact add to 108, therefore our answer is correct.

4 0
3 years ago
What is the approximate diameter of a sphere with a volume of 34 cm
Nutka1998 [239]

Answer:

<h3>The diameter is 4cm</h3>

Step-by-step explanation:

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To find the diameter we must first find the radius

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That's

34 =  \frac{4}{3} \pi {r}^{3}  \\  \\ 34 \times 3 = 4\pi {r}^{3}  \\  \\ 102 = 4\pi {r}^{3}  \\  {r}^{3}   = \frac{102}{4} \pi \\  \\ r =  \sqrt[3]{ \frac{51}{2\pi}}  \\  \\ r = 2.01 \\  \\ r = 2.0 cm

Diameter = 2 × 2cm

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Hope this helps you

6 0
3 years ago
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FrozenT [24]

Answer:

The equation is 8q-6=2q-48

The answer is -9

Step-by-step explanation:

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3 years ago
Help=10pts<br> 5,6,7,and 8 plz
Lesechka [4]

Answer:

number 5:4/12

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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gtnhenbr [62]

Answer:

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