7. Renting bowling shoes costs $5. Bowling costs $4
per game. Which equation can be used to find y, the
total cost of bowling, if x represents the number of
games played.
A. y = 5x + 4
B. y = 5 + 4x
C. y = 5x + 4x
D. y = 5x - 4

Given:

A man walks for x hours at a speed of  (x + 1) km/h and cycles for (x - 1) hours at  a speed of (2x + 5) km/h.

Total distance  travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]Speed\times Time=Distance[/tex]

A man walks for x hours at a speed of  (x + 1) km/h, so walking distance is

[tex]D_1=(x+1)(x)[/tex] km

The man cycles for (x - 1) hours at  a speed of (2x + 5) km/h, so the cycling distance is

[tex]D_2=(2x+5)(x-1)[/tex] km

Now,

Total distance = 90 km

[tex]D_1+D_2=90[/tex]

[tex](x+1)x+(2x+5)(x-1)=90[/tex]

[tex]x^2+x+2x^2-2x+5x-5-90=0[/tex]

[tex]3x^2+4x-95=0[/tex]

[tex]3x^2+19x-15x-95=0[/tex]

[tex]x(3x+19)-5(3x+19)=0[/tex]

[tex](3x+19)(x-5)=0[/tex]

[tex]3x+19=0\text{ and }x-5=0[/tex]

[tex]x=\dfrac{-19}{3}\text{ and }x=5[/tex]

Time cannot be negative. So, the only possible value of x is 5.

Answer:

a)8.4kg to 10.6kg

b)7.3 kg to 11.7kg

c)16%

d) 95%

e) 0.15%

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question,

Mean(μ) = 9.5 kg,

Standard Deviation (σ) = 1.1 kg.

a) 68% of the data is between which 2 values?

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

μ - σ

= 9.5kg - 1.1kg

= 8.4kg

μ + σ

= 9.5kg + 1.1kg

= 10.6kg

Therefore, 68% of the data is between 8.4kg to 10.6kg

(b) 95% of the data is between which 2 values?

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ - 2σ

9.5kg - 2(1.1)kg

9.5kg - 2.2 kg

= 7.3kg

μ + 2σ

9.5kg + 2(1.1)kg

9.5kg + 2.2 kg

= 11.7kg

Therefore, 95% of the data is between 7.3 kg to 11.7kg

(c) What percentage of the data is less than 8.4 kg?

We need to find how many standard deviations from the mean 8.4kg is, in order to know the percentage it falls under

μ - xσ = 8.4kg

= 9.5kg - 1.1x = 8.4kg

9.5 - 8.4 = 1.1x

1.1 = 1.1x

x = 1.1/1.1

x = 1

Hence, the percentage it falls under according to Empirical rule = 68%

The percentage of the data that is less than 8.4 kg is calculated as:

100 - 68/2 = 32/2 = 16%

(d) What percentage of the data is between 7.3 kg and 11.7 kg?

We have to find the Standard deviation that they fall under

For 7.3 kg

μ - xσ = 7.3kg

= 9.5kg - 1.1x = 7.3kg

9.5 - 7.3 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

μ + xσ = 11.7kg

= 9.5kg + 1.1x = 11.7kg

11.7 - 9.5 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

Therefore, based on the calculation above and the empirical formula rule, the percentage of the data is between 7.3 kg and 11.7 kg is 95%

(e) What percentage of the data is more than 12.8 kg?

μ + xσ = 12.8kg

9.5kg + 1.1x = 12.8kg

= 12.8- 9.5 = 1.1x

3.3 = 1.1x

3.3 = 1.1x

x = 3.3/1.1

x = 3

Hence, the percentage it falls under according to Empirical rule = 99.7%

The percentage of the data that is more than 12.8kg is calculated as:

100 - 99.7/2 = 0.3/2 = 0.15%

Answer:

16hours

Step-by-step explanation:

Amount of hours Nixon took = 5hours

If it takes 320 % of his time, then he took him 320% of 5hrs to finish

This is express as shown

320% of 5

= 320/100 ×5

= 320/20

= 16

Hence it took him 16 hours

Answer:

Step-by-step explanation:

320/100 = 3.2

3.2 x 5

=16

Answer:

Step-by-step explanation:

Jane's caldles:

Chris's candles:

Profit, if equal per x candles is:

Each will have profit of $10 if 10 candles sell

Answer:

y=6 , X = 8.48 which is 6 root 2

Answer:

It is the sedond one

Step-by-step explanation:

7n, 4n because they have the same variable, n.

Answer:

The answer is (2a + 5)(a + 3).

Step-by-step explanation:

The steps are :

2a² + 11a + 15 = 0

2a² + 6a + 5a + 15 = 0

2a(a + 3) + 5(a + 3) = 0

(2a + 5)(a + 3) = 0

Answer:

x=7

Step-by-step explanation:

write -2+16x+9x+7=180

then add all like terms (-2+7=5) and (16x+9x=25x)

5+25x=180

-5. -5

25x=175

/25. /25

x=7

Answer:

180=-2+16x+9x+7

180=25x+5

-5. -5

175=25x

175/25=25x/25

7= x

Step-by-step explanation:

Answer:

200cm²

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism  = 200cm²

Hence the total surface area of the prism is 200cm²

top one : frame A.

bottom one : 6 inches

Answer:

Give brainliest to the other person who answered

Step-by-step explanation:

Have a fantastic day!

Answer:

62

Step-by-step explanation:

152-90= 62

Answer:

20%

Step-by-step explanation:

30:6=5

yellow apples - 1/5 of 30

20x5=100

20%/30=6

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Answer:

9.983796

Step-by-step explanation:

Every time, it becomes smaller by 5/2 (6 divided by 5/2 is 12/5.... 12/5 divided by 5/2 is 24/25)

So, the first seven terms are 6, 2.4, 0.96, 0.384, 0.1536, 0.06144, 0.024756. Add them together and your answer would be 9.983796

Pleaseeee mark me brainliest :))

Answer:

it would be 10

Step-by-step explanation:

Answer:

575$

Adam being the scammer he is, does it at a 15% increased price. We will multiply.

500 x 1.15 = 575.

We get the 1.15 from 15%

Answer:

the first one

Step-by-step explanation:

Answer:

What are in the boxes?

Step-by-step explanation:

Can you show the text in the choose box please?

Answer:

7 x 2 + 31

Step-by-step explanation:

Equals to the bottom line answer is 7

Answer: 50 Words

Step-by-step explanation: We know Kyle can write a 300-word essay in an hour or 1 hour. We want to know how many words Kyle would have in his essay if he wrote one in 10 minutes.

First, find how many words Kyle can write per minute. Simply do this by dividing 300 by 60, since there are 60 minutes in a hour.

300/60 = 5. So, Kyle can write 5 words per minute.

Now, simply multiply 5 by 10 to find how many words Kyle would write in 10 minutes.

5 x 10 = 50. So, Kyle can write 50 words in his essay if he writes for 10 minutes.

Answer:

Same!

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

Rate of change is 2

How I got the answer:

rate of change: [tex]\frac{y2-y1}{x2-x1}[/tex]

Lets use :

(1,3)

(2,5)

[tex]\frac{5-3}{2-1} =\frac{2}{1} =2[/tex]

Brainly plz :)

Answer:

Step-by-step explanation:

according to the rectangle theory

thus,

we can write AC as AE+ CE

11x -18 + 2x+45 = BD

hope it helps:)

Answer:

60degrees

Step-by-step explanation:

Congruent means equal and equilateral triangle also means a triangle which has three sides equal.

So 60 degrees is the sides for each angle since when they are added they all add up to 180°

<AC=60°

<CB=60°

<AB=60°

60+60+60=180°

∆ABC=180°

Answer:

The answer is 3%.

Step-by-step explanation:

6,000 x 3 = 18,000.

18,000 / 6,000 = 3.

Answer:

The remainder is 11

Step-by-step explanation:

Here, we want to find the remainder by using substitution

We start by equating x-2 to 0

x = 2

Substitute the value of x in the function

3(2)^3 - 4(2)^2 + 5(2) - 7

= 24-16+ 10 - 7 = 11

Answer:

To make an equation, you need the slope and the y-intercept. If you only have 2 points, first get the slope, then use point-slope form.

Explanation:

Equations written in slope-intercept form (y=mx+b) require two pieces of information: the slope and the y-intercept, which is where the line crosses the y-axis. Point-slope form also involves the slope, which can be found from the two given points.

Answer:

285

Step-by-step explanation: