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3 years ago

Select the correct answer.

Mathematics

2 answers:

likoan [24]3 years ago

7 0

Answer:

Step-by-step explanation:

First find how many games they need to have 90% by multiplying .9(30)=27

then, 15(.8)=12

Then 27-12=15

Dafna11 [192]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah wri

Leni [432]

Answer:

Andrew walks more steps than Sarah.

Step-by-step explanation:

The question is incomplete. The complete question is :

Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah writes the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andrew and Sarah each walk for a total of 5 hours. Who walks more steps?

Solution:

Given:

Andrew walks 6000 steps in 50 minutes.

Number of steps Sarah walks is given by the equation :

$y=118x$

where $y$ is the number of steps and $x$ is the number of minutes she walks.

Finding the number of steps each walks in 5 hours.

Total number of minutes in 5 hours = $5\times 60 = 300\ min$

For Andrew:

Using unitary method:

If in 50 minutes Andrew walks = 6000 steps.

In 1 minute he will walk = $\frac{6000}{50}$ = 120 steps

In 300 minutes he will walk = $120\times 300 = 36000$ steps

Thus, Andrew will walk 36,000 steps in 5 hours.

For Sarah:

We will plugin $x=300$ in the equation and solve for $y$ .

We have:

$y=118(300)$

∴ $y=35400$

Thus, Sarah will walk 35,400 steps in 5 hours.

Therefore, Andrew walks more steps than Sarah as $36,000>35,400$ .

5 0

3 years ago

3. Sam and Tim each have savings accounts. Every month they each put in some of their

Setler [38]

Answer:

$y = 30x +50$ --- Sam

$y = 20x +80$ --- Tim

Step-by-step explanation:

Given

Sam Tim

х --- f(x) --------------- g(x)

1 --- 80 --------------- 100

2 --- 110 --------------- 120

3 --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,80)$

$(x_2,y_2) = (4,170)$

Next, we calculate the slope (m)

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

$m = \frac{170 - 80}{4 - 1}$

$m = \frac{90}{3}$

$m = 30$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 80 = 30(x - 1)$

$y - 80 = 30x - 30$

Make y the subject

$y = 30x - 30 + 80$

$y = 30x +50$

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,100)$

$(x_2,y_2) = (4,160)$

Next, we calculate the slope (m)

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

$m = \frac{160 - 100}{4 - 1}$

$m = \frac{60}{3}$

$m = 20$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 100 = 20(x - 1)$

$y - 100 = 20x - 20$

Make y the subject

$y = 20x - 20+100$

$y = 20x +80$

7 0

3 years ago

Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. St

podryga [215]

To solve this problem, let us say that:

money invested in stock A = A

money invested in stock B = B

money invested in stock C = C

The given problem states that:

C = A * (1 / 4) = 0.25 A

B = A * (1 / 2) = 0.50 A

It was stated that we only have $16,000 to invest. Therefore:

A + B + C = 16,000

Substituting values of C and B in terms of A:

A + 0.50 A + 0.25 A = 16,000

1.75 A = 16,000

A = $9,142.86

So C and B is:

C = 0.25 (9142.86)
C = $2285.71

B = 0.50 (9142.86)

B = $4571.43

5 0

3 years ago

Read 2 more answers

Plz plz plz plz plz plzzzzzzz

laiz [17]

Answer:

3 7/24

Step-by-step explanation

but is the last fraction 2 1/8?

4 0

3 years ago

Read 2 more answers

Help please! Identify an equation in point slope form for the line perpendicular to Y =-4x + 8 that passes through (-2, 7)

777dan777 [17]

Answer:

D. $y-7=\frac{1}{4}(x+2)$

Step-by-step explanation:

The point-slope form of a line is given by:

$y-y_1=m(x-x_1)$

The line given to us has equation; $y=-4x+8$ .

The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.

Our slope of interest is therefore; $m=\frac{1}{4}$

Since the point goes through (-2,7), we have $x_1=-2,y_1=7$ .

We plug in the slope and the point into the point-slope formula to obain;

$y-7=\frac{1}{4}(x--2)$

The required equation is:

$y-7=\frac{1}{4}(x+2)$

3 0

3 years ago