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PSYCHO15rus [73]
1 year ago
7

You earn $15n$15n​ dollars for mowing $n$n​ lawns. How much do you earn for mowing 1 lawn? 7 lawns?

Mathematics
1 answer:
vampirchik [111]1 year ago
5 0

Answer:

50

Step-by-step explanation:

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TJ is thinking of a number
Likurg_2 [28]

Answer:

\frac{1}{3}n - 5

Step-by-step explanation:

If n is the number that TJ is thinking, then says he found 1 third of the number, you would multiply 1/3 by n. Then he says to subtract 5, which would be the -5.

8 0
1 year ago
The results of a race car are shown. Determine who drove the fastest. Explain.
monitta

We have to calculate speed for 1 lap for all of 'em.

Cutwright - 84/35 = 2.4 mins for 1 lap

Evans- 96.6/42 = 2.3 mins for 1 lap

Liza- 102.6/38 = 2.7 mins for 1 lap

 So, EVANS drove fastest among them as he took less time...

8 0
2 years ago
Read 2 more answers
Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are
ira [324]

 Given: AD ≅ BC and AD ∥ BC

Prove: ABCD is a parallelogram.

 Statements                                                                 Reasons

 1. AD ≅ BC; AD ∥ BC                                              1. given

 2. ∠CAD and ∠ACB are alternate interior ∠s          2. definition of alternate                                                                                    interior angles

3. ∠CAD ≅ ∠ACB                                                    3. alternate interior                                                                                          angles are congruent

4. AC ≅ AC                                                              4. reflexive property

 5. △CAD ≅ △ACB                                                  5. SAS congruency                                                                                                   theorem

6. AB ≅ CD                                                            6. Corresponding Parts                                                                                   of Congruent triangles are                                                                               Congruent (CPCTC)

7. ABCD is a parallelogram                                  7. parallelogram side                                                                                         theorem

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5 0
2 years ago
Read 2 more answers
A study found that a driver’s reaction time A(x) to audio stimuli and his or her reaction time V(x) to visual stimuli (both in m
amid [387]

Answer:

The required inequality is 0.0001 x^2 - 0.089 x - 7.

Step-by-step explanation:

The given inequalities are

A(x) = 0.0051x^2 - 0.319x + 15

V(x)= 0.005x^2 - 0.23x + 22

where, x is the driver's age (in years), A(x) is driver’s reaction time to audio stimuli and V(x) is his or her reaction time to visual stimuli, 16 ≤ x ≤ 70.

We need to find an inequality that can be use to find the x-values for which A(x) is less than V(x).

A(x)

0.0051x^2 - 0.319x + 15< 0.005x^2 - 0.23x + 22

0.0051x^2 - 0.319x + 15- 0.005x^2 + 0.23x- 22

Combine like terms.

0.0001 x^2 - 0.089 x - 7

where, 16 ≤ x ≤ 70.

Therefore, the required inequality is 0.0001 x^2 - 0.089 x - 7.

5 0
2 years ago
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. In an earlier s
anyanavicka [17]

Answer:

1,496 new car buyers

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2p(1-p)}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

p= 0.33 is the population proportion.

e = 0.02 is the margin of error

so  

\bf n=\frac{(1.645)^20.33*0.67}{0.02^2}=1,495.76\approx 1,496

<em>(*)</em><em>This is a point z such that the area under the Normal curve N(0,1) inside the interval [-z, z] equals 90% = 0.9</em>

It can be obtained in Excel or OpenOffice Calc with

<em>NORMSINV(0.95)</em>

6 0
2 years ago
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