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natima [27]
3 years ago
7

4p-7=10p+11 6 -6 3 -3 8 -8 5 -5

Mathematics
2 answers:
slamgirl [31]3 years ago
5 0
The correct answer is -3
Ipatiy [6.2K]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

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Latrell bought 4 bags of powdered sugar. He got a total of 5 1/2 cups of sugar. How many cups of sugar were in each bag?
Stels [109]
So all 4 bags of sugar yielded 5 and 1/2 cups..... well.. how many in each one?  well, let's split the 5 and 1/2 evenly in 4 pieces.

\bf \stackrel{mixed}{5}\frac{1}{2}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}\\\\
-------------------------------\\\\
\cfrac{\quad\frac{11}{2} \quad }{4}\implies \cfrac{\quad\frac{11}{2} \quad }{\frac{4}{1}}\implies \cfrac{11}{2}\cdot \cfrac{1}{4}\implies \cfrac{11}{8}\implies \stackrel{cups}{1\frac{3}{8}
}
5 0
3 years ago
What are the possible lengths for x, the third side of a triangle, if two sides are 21 and 10
SashulF [63]
To solve we need to use Pythagoras theorem ( a^{2} +  b^{2} =  c^{2} )

There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.

Hypotenuse:
10^{2} + 21^2 = x^{2}
100+441= x^{2}
\sqrt{541} =  \sqrt{ x^{2} }
23.3≈x

Shorter leg:
10^2 + x^2=21^2
x^2= 21^2-10^2
x^{2}= 441-100 
\sqrt{ x^{2} } = \sqrt{341}
x≈18.47
8 0
3 years ago
Evaluate 48×15^2-5^2×2×24 by using factorisation and algebraic identities.
nikklg [1K]

Step-by-step explanation:

9600

This is your answer

4 0
3 years ago
Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2 if AB = 18, find EF
Marina86 [1]

Answer:

A... 12

Step-by-step explanation:

5 0
2 years ago
How many complete rotations will the bowling ball make if it rolls straight down the center of the entire length of the lane. A.
jasenka [17]
<h3>Answer: C) 26 complete rotations</h3>

===========================================

Explanation:

The diameter of the ball is 8.5 inches. So d = 8.5

The circumference of the circle with this diameter is

C = pi*d

C = pi*8.5

C = 8.5pi

C = 26.7035375555132 approximately.

This is the rough distance it travels in one revolution or one full rotation.

--------------

1 revolution = 26.7035375555132 inches

(1/26.7035375555132) revolution = 1 inch

1 inch = (1/26.7035375555132) revolution

1 inch = 0.03744822190398 revolution

There are 12 inches a foot, so,

1 inch = 0.03744822190398 revolution

12*1 inch = revolution

12 inches = 0.44937866284776 revolution

1 foot = 0.44937866284776 revolution

Now multiply both sides by 60

1 foot = 0.44937866284776 revolution

60*1 foot = 60*0.44937866284776 revolution

60 feet = 26.9627197708657 revolutions

Round down to the nearest whole number to get 26

We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.

Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.

8 0
3 years ago
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