MATHEMATICS MIDDLE SCHOOL

Please help me solve this 2 step equation problems1.V/4-3=5
2.U/5+3=1
3.6+z/9=9
4.-7+f/2= -1
5.9+w/4= -5
6.e/7-3= -5
7.-8+d/5=2
8. U/5+3=6
9. F/-3+5=8

Answers

Answer 1
Answer: 1)v/4-3=5
v-12=20
v=32

2)u/5+3=1
u+15=5
u=-10

3)6+z/9=9
54+z=81
z=27

4)-7+f/2=-1
-14+f=-2
f=12

5)9+w/4=-5
36+w=-20
w=-56

6)e/7-3=-5
e-21=-35
e=-14

7)-8+d/5=2
-40+d=10
d=50

8)u/5+3=6
u+15=30
u=15

9)f/-3+5=8
f-15=-24
f=-9
Answer 2
Answer: 1.\ (V)/(4) -3=5\ \ /\cdot4\n V-12=20\nV=20+12\nV=32\n \n2.\ (U)/(5)+3=1\ \ /\cdot5\nU+15=5\nU=5-15\nU=-10\n \n3.\ 6+ (z)/(9) =9\ \ /\cdot9\n 54+z=81\nz=81-54\n z=27

4.\ -7+ (f)/(2) =-1\ \ / \cdot2 \n-14+f=-2\nf=-2+14\nf=12\n \n 5.\ 9+ (w)/(4) =-5\ \ /\cdot4\n 36+w=-20\nw=-20-36\nw=-56\n \n6.\ (e)/(7)-3=-5\ \ /\cdot 7\ne-21=-35\ne=-35+21\ne=-14

7.\ -8+ (d)/(5) =2\ \ /\cdot5\n-40+d=10\nd=10+40\nd=50\n \n8.\ (U)/(5) +3=6\ \ /\cdot5\nU+15=30\nU=30-15\nU=15\n \n9.\ (F)/(-3) +5=8\ \ /\cdot(-3)\nF-15=-24\nF=-24+15\nF=-9

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On Serena's tenth birthday,her mom was 3 times Serena's age.How old will Serena and her mom be when her mom's age times 0.5 will equal Serena's age?

Answers

Serena 10th birthday means she was 10 and her mom was 3 times as old which is 30. They are 20 years apart so 0.5 or 1/2 her mom's age will be Serenas age when her mom is 40 and she is 20

Answer:

15 yrs

Step-by-step explanation:

10 x 3 = 30

30 x 0.5 = 15.0

For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why?

Answers

Pythagorean theorem:
a² + b² = c²

a is the long leg of the triangle
b is the short leg of the triangle
c is the hypotenuse

side lengths ; 3 inches, 4 inches, 5 inches of a right triangle.

a = 4 inches
b = 3 inches
c = 5 inches

4² + 3² = 5²
16 + 9 = 25
25 = 25

Possible Answer:

The base of a right triangle is shorter then the hypotenuse due to the diagnal of the line being the longest line we can conclude that 5 is the Hypotenuse (C). That would mean that the longest line thats not the hypotenuse(4) is B and the shortest line(3) is A.

Possible Answer Two:

Since the hypotenuse is the longest line in a right triangle we can conclude its length is 5 and the base is 4 and the side length is 3.

Anna, Elisa and Tiara are selling candy bars to raise money for the track team. The ratio of candy bars sold by Anna, Elisa and Tiara are 2 to 4 to 7.Elisa has sold 28 candy bars. How many candy bars do the girls sold altogether?

Answers

Number of candy bars sold by girls altogether is 91

Solution:

Given that The ratio of candy bars sold by Anna, Elisa and Tiara are 2 to 4 to 7

So ratio of candy bars sold by Anna, Elisa and Tiara = 2 : 4 : 7

Let the candy bars sold by Anna be 2a

Let the candy bars sold by Elisa be 4a

Let the candy bars sold by Tiara be 7a

Given that Elisa has sold 28 candy bars

Number of candy bars sold by Elisa = 28

4a = 28

a = 7

So we have found "a" as 7

Thus we get,

candy bars sold by Anna = 2a = 2(7) = 14

candy bars sold by Elisa = 4a = 4(7) = 28

candy bars sold by Tiara = 7a = 7(7) = 49

We have to find the number of candy bars sold by girls altogether

number of candy bars sold by girls altogether = candy bars sold by Anna + candy bars sold by Elisa + candy bars sold by Tiara

number of candy bars sold by girls altogether = 14 + 28 + 49 = 91

So altogether girls sold 91 candies

What is 9/6 in the equivalent fraction and as a percent

Answers

To write 9/6 as an equivalent fraction, we divide both the numerator and denominator by a common number in this case 3.
3/2.
3/2 = 1 1/2.
1 = 100%
1/2 = 50%
1 1/2 = 150%.

What is f(3) for the quadratic functionf(x)=2x2 + x – 12?
F -3
G 3
H 6
I. 9​

Answers

Answer:

f(3) = 9

Step-by-step explanation:

Wherever you see an x on the right, put a 3 in for that x

f(x) = 2x^2 + x - 12

f(3) = 2*(3)^2 + 3 - 12

f(3) = 2*9 + 3 - 12

f(3) = 18 + 3 - 12

f(3) = 9

What is 105.6 L/h = to L=min

Answers

Divide by 60 so 105.6/60=1,76 L/min
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