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svetoff [14.1K]
3 years ago
11

At the sports awards ceremony,5 members of the soccer team and 8 members of the softball team won awards. What was the ratio of

the softball team members to award winners?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0

Answer:

8:13 or 8/13 or 62%

Step-by-step explanation:

When comparing two things make sure to put what the question says first, first.  Add the number of soccer and softball players that got awards to find the total number of award winners.

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The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^
Leokris [45]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

4 0
3 years ago
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represent
pentagon [3]

Answer:

Graph G

Step-by-step explanation:

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong

The slope (rate of change) of a line (m) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second

8 0
3 years ago
Read 2 more answers
Point m is the midpoint of ab¯¯¯¯¯ . am=3x+3, and ab=8x−6. what is the length of am¯¯¯¯¯¯ ?
LuckyWell [14K]
As given m is a midpoint of ab. So am is half of ab.

So we can write

am =  \frac{ab}{2}

As given am = 3x+3 , ab = 8x - 6.

So 3x+3 = \frac{8x - 6}{2}

3x+3 =  \frac{2(4x - 3)}{2}

3x+3 = 4x - 3

3+3 = 4x - 3x


6 = x

So x = 6.

So length of am = 3x+3 = 3*6 + 3 = 21
5 0
3 years ago
Help, please!!!<br><br> Simplify. (4/9)^2=
alina1380 [7]

Answer:

Exact form: \frac{16}{81}

Decimal form: 0.1975308

8 0
2 years ago
Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5
aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u>  states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

so

a*(b+c)=a*b+a*c

in this problem we have

-3*(6+5)=-3*6+-3*5 ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0
4 years ago
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