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Shalnov [3]
3 years ago
14

Ebony earned scores of 72 70, 81, 99, and 88 on five math tests. Determine her

Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Let it be x

\boxed{\sf Average=\dfrac{Sum\:of\:terms}{No\:of\:terms}}

\\ \sf\longmapsto \dfrac{72+70+81+99+88+x}{6}=83

\\ \sf\longmapsto \dfrac{410+x}{6}=83

\\ \sf\longmapsto 410+x=498

\\ \sf\longmapsto x=498-410

\\ \sf\longmapsto x=88

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Jenny used 15 centimeters of tape to wrap 5 presents. How much tape will Jenny need in all if she has to wrap 10 presents? Assum
Scorpion4ik [409]

Answer:

30

Step-by-step explanation:

15cm for 5

5 x 2=10

15 x 2 = 30

7 0
2 years ago
A bicycle shop sells only bicycles and tricycles. Altogther there are 23 seats and 50 wheels. How many bicycles and tricycles ar
slamgirl [31]

Answer:

The number of bicycles is 19.

and the number of tricycles is 4.

Step-by-step explanation:

As we know that the number of seats in bicycles as well as in tricycles is 1.

The number of wheels in bicycles is 2

and the number of wheels in tricycles is 3.

Let the number of bicycles be x.

and the number of tricycles be y.

Thus using the given information we can make equation as,

x + y = 23

and, 2x + 3y = 50

Solving these two equations:

We get, x = 19 and y = 4

Thus the number of bicycles is 19.

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8 0
3 years ago
The area of a rectangle has decreased by 2%.
MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough.  That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89.  The actual result of that fraction is 0.89090909...  if we multiply that by 1.1, we get exactly .98.

6 0
2 years ago
Explain how the graph of a quadratic function relates to
igomit [66]
The equation for a quadratic is as follows:
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5 0
3 years ago
Read 2 more answers
Which expression represents this word phrase? seven less than the quotient of x and 9
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Required expression is x/9 - 7
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