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Anna007 [38]
3 years ago
8

before school began mrs. weeks bought a total of 86 balls us the information below to help you write a numerical expression​

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0

For this case we have that the total of the balls is 86. We know there are 8 footballs then:

Basketball: Two more than twice the number of footballs are basketballs, that is:

2 + 2 (8) = 2 + 16 = 18

There are 18 Basketballs.

Baseballs: Four less than 5 times the number of footballs are baseballs, that is:

5 (8) -4 = 40-4 = 36

There are 36 Baseballs.

Softballs: Six more than half of baseballs are softballs. That is to say:

6+ \frac {36} {2} = 6 + 18 = 24

There are 24 Softballs

If we add we must get 86.

8 + 18 + 36 + 24 = 86

ANswer:

There are 8 Footballs

There are 18 Basketballs.

There are 36 Baseballs.

There are 24 Softballs

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If the diagonal of a square is approximately 12.73, what is the length of its sides?
Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

D^{2} = L^{2} + L^{2}

Solving further, we have

D^{2} = 2L^{2}

Divide both sides by 2

\frac{D^{2}}{2} = \frac{2L^{2}}{2}

\frac{D^{2}}{2} = L^2

Take Square root of both sides

\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}

\sqrt{\frac{D^{2}}{2}} = L

Reorder

L = \sqrt{\frac{D^{2}}{2}}

Now, the value of L can be calculated by substituting 12.73 for D

L = \sqrt{\frac{12.73^{2}}{2}}

L = \sqrt{\frac{162.0529}{2}}

L = \sqrt{{81.02645}

L = 9.001469325

L = 9.0015 (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0
3 years ago
WHICH ONE DOESN'T BELONG? Which figure does not belong with the other three? Explain your reasoning.
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Answer:

alternate angle to angle RUN is angle POU

Step-by-step explanation:

Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.

Now, we want to find the alternate angle to angle RUN.

The same transverse line cuts the other horizontal line PQ at point O.

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Step-by-step explanation:

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postnew [5]

Answer:

<h2>C. G(x) = (x - 1)² - 3</h2>

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

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

Look at the picture.

The graph of F(x) shifted 1 unit to the right and 3 units down.

Therefore the equation of the function G(x) is

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