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mr Goodwill [35]
3 years ago
9

8. Aaron and Zelly want to rent a tandem bike so that

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0

Answer:

80 = 18.50h + 6

Step-by-step explanation:

Given

Amount = \$80

Rent = \$18.50 per hour

Helmet = \$3.0

Individuals =2

Required

Derive an expression for the scenario

A tandem bike allows 2 individuals to ride on it at a time.

So, they will only pay for one rental fee because both can ride on it at the same time.

However, they need to get separate helmets.

For Helmets, they will spend:

\$3 * 2 =\$ 6

For Rental, they will spend

\$18.50 * h = \$18.50h for h hours.

Total = Rentals + Helmets

Total = 18.50h + 6

Recall that they have just $80 to spend

So, substitute 80 for total

80 = 18.50h + 6

Hence, option C answers the question.

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¿Qué propiedad justifica que 4+ [6 + (-2)] = [4 +6] +(-2)?​
hammer [34]

Answer:

addition is commutative. 4+(6+(-2)=8 whiles

Step-by-step explanation:

4+6-2=8

5 0
3 years ago
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the
Alborosie

Answer:

Step-by-step explanation:

Let the subscripts d and n represent day and night respectively

The null hypothesis is

H0 : μd ≥ μn

The alternative hypothesis is

H1 : μd < μn

it is a one-tailed and also a right left test because of the greater than symbol in the alternative hypothesis.

The decision rule is to reject H0: μd ≥ μn If 0.10 > p value

Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (xd - xn)/√σd²/nd + σn²/nn

Where

xd and xn represents sample means for day and night respectively.

σd and σn represents population standard deviations for day and night respectively.

nd and nn represents number of samples

From the information given,

xd = 334

xn = 341

σd = 23

σ2 = 28

nd = 60

nn = 68

z = (334 - 341)/√23²/60 + 28²/68

= - 7/√20.34607843138

z = - 1.55

From the normal distribution table, the probability value corresponding to the z score is 0.061

Since the level of significance, 0.1 > 0.061, we would reject H0

Therefore, there is enough evidence to conclude that there are more units produced on the night shift than on the day shift.

8 0
3 years ago
The two triangles below are similar. What is the similarity ratio of AABC to ADEF?
Dominik [7]

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1

6 0
3 years ago
A carpenter has 10 1/2 feet of wooden plank. He cuts off 4 1/4 feet to replace the slat of a deck and 3 2/3 to repair a Banniste
aalyn [17]
10 1/2-4 1/4= 6 1/4. 6 1/4-3 2/3= 2 7/12. They used 2 7/12 ft or 2ft 7in of wood to fix the stairs.
8 0
3 years ago
Read 2 more answers
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
Eddi Din [679]

Answer:

Option D) F

Step-by-step explanation:

we have

y < -2x+10 -----> inequality A

The solution of the inequality A is the shaded area below the dashed line y=-2x+10

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

y < \frac{1}{2}x-2 ----> inequality B  

The solution of the inequality B is the shaded area below the dashed line y=\frac{1}{2}x-2

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

see that attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

therefore

The solution are the points

E, F and G

8 0
3 years ago
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