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ohaa [14]
3 years ago
15

TUVW is a rhombus. Solve for x

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

x=17inches

Step-by-step explanation:

we know a rhombus has equal sides so we need to make the equation equal.

2x+16=33+x.

move x to one side and numbers (16) to the opposite side

2x-x=33-16

add them up.

x=17

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A student's tuition was $3000. A loan was obtained for 5/6 of the tuition. How much was the loan?
Marina86 [1]
Answer: 2,500

5/7 of 3500 = (5/7)*(3500)

5/7 of 3500 = (5/7)*(3500/1)

5/7 of 3500 = (5*3500)/(7*1)

5/7 of 3500 = (17500)/(7)

5/7 of 3500 = 2500
Hope this helped:)
8 0
2 years ago
18. The Tennis for Champs company is looking into new ways to package tennis balls. The packaging engineer at the company is exp
9966 [12]

Answer:

Amount of empty space in the cylinder = 395.64 cm³

Step-by-step explanation:

Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;

Formula for volume of a cylinder is;

V = πr²h

We are to use π = 3.14

Thus, V_cylinder = 3.14 × (6/2)² × 18

V_cylinder = 508.68 cm³

Volume of a tennis ball is;

V_tennis ball = (4/3)πr³

V_tennis ball = (4/3) × 3.14 × (6/2)³

V_tennis ball = 37.68 cm³

Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³

Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³

8 0
2 years ago
Mary says that -5 x 2 = -3. Explain the mistake Mary made and write the correct number sentence including the correct answer.
stira [4]

Answer:

it should be -10

Step-by-step explanation:

5 x 2 is 10 but you add the negative. Mary added instead of multiplied.

4 0
2 years ago
Read 2 more answers
Gerold invested $118 in an account that pays 6 percent simple interest. how much money will he have at the end of 5 years
JulsSmile [24]
If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:

1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9

The correct result would be $157.9.
6 0
3 years ago
Perpendicular to y=1/2-1, x-intercept at4
AlexFokin [52]

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

8 0
3 years ago
Read 2 more answers
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