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PIT_PIT [208]
2 years ago
11

If darren wants to get 65 balloons, how many yards of string will he need

Mathematics
1 answer:
Setler [38]2 years ago
5 0
How long are the yards of string though
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5(9-x)/3 +1 less than 11<br>find x​
Lunna [17]

Answer:

x > \frac{1}{5}

Step-by-step explanation:

\frac{5(9-x)}{3+1}

Add 3 and 1 to get 4.

\frac{5(9-x)}{4}

Use the distributive property to multiply 5 by 9−x.

\frac{45-5x}{4}

Subtract  45/5 from both sides.

-\frac{5}{4}x

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

-\frac{5}{4} x

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

x>-\frac{1}{4} (-\frac{4}{5} )

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

x>\frac{-(-4)}{4 x 5}

x>\frac{1}{5}

5 0
3 years ago
Ivan wants to fill with foam the empty space left in a cube-shaped box after he places a basketball in the box. How many cubic i
Ann [662]

Answer:

280 cubic inches

Step-by-step explanation:

Cubic inches of foam required = volume of the box - volume of the basketball

The box has a shape of a cube, so that;

volume of the box = l^{3}

where l is the length of the sides of the box.

volume of the box = 9^{3}

                               = 729 cubic inches

volume of the box = 729 cubic inches

The basketball has the shape of a sphere, so that;

volume of the basketball = \frac{4}{3} \pir^{3}

                                          = \frac{4}{3} x 3.14 x (4.75)^{3}

                                           = 448.693

volume of the basketball = 448.693 cubic inches

Thus,

cubic inches of foam required = 729 - 448.693

                                                   = 280.307

The cubic inches of foam to be used is 280 cubic inches.

6 0
3 years ago
Help!!! please show some work so i know its right! THANKS!!!!
zhenek [66]

Answer:

A

Step-by-step explanation:

90 degree angle = right angle, that's what it is. you know there's 60 degree, so the other one is 90 - 60 = 30. since it's 3 times x, it's 10.

7 0
3 years ago
Solve the equation √x-6 +2=6
Dovator [93]

Answer:

x = 22

Step-by-step explanation:

\sqrt{x-6} + 2 = 6 ( subtract 2 from both sides )

\sqrt{x-6} = 4 ( square both sides to clear the radical )

x - 6 = 4² = 16 ( add 6 to both sides )

x = 22

8 0
2 years ago
How many 8’s are in 145
Dennis_Churaev [7]
15 8's. 8,18,28,38,48,58,68,78,88,98,108,118,128,138
5 0
3 years ago
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