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Nuetrik [128]
3 years ago
11

Alexa is saving to buy a new bike that costs $265. So far she has saved $45. If she is able to save $11 each week, how many week

s will it take her to save enough to buy her coveted bike? Kole wrote (265 - 45)/11 = w. Bella wrote 11w + 45 = 265. Who do you agree with? Justify your response.
Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer: Bella is correct.

Step-by-step explanation:

Let the number of weeks will it take her to save enough to buy her coveted bike be represented by w.

The information given in the question can then be formed into an equation as:

45 + 11(w) = 265

45 + 11w = 265

Collect like terms

11w = 265 - 45

11w = 220

w = 220/11

w = 20

He'll save for 20 weeks

Bella is correct.

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Alexa worked 30 hours last week and earned $450. Her pay has now been increased by 20%. Which equation describes her new rate of
vesna_86 [32]

Answer:

p=18h

or

p=\dfrac{450}{30}\cdot 1.2\cdot h

Step-by-step explanation:

If Alexa worked 30 hours last week and earned $450, then her hourly payment is

\dfrac{\$450}{30}=\$15.

Her payment has now been increased by 20%, so her hourly payment becomes

\$15\cdot 1.2=\$18.

If she worked h hours, then she earned \$18h. If her new payment is p, then

p=18h

or

p=\dfrac{450}{30}\cdot 1.2\cdot h.

4 0
3 years ago
How many different outfits do you have if there are 4 choices of shirts. Shoes you can choose sandals, white tennis shoes, blue
Cloud [144]

Answer:

16

Step-by-step explanation:

6 0
2 years ago
A set of math tests is normally distributed
Masteriza [31]

Answer:

wat is the actual question for this??

Step-by-step explanation:

6 0
3 years ago
The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula
oee [108]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu = 30\ seconds

    The standard deviation is  \sigma = 3 \ seconds

     The sample size is  n  = 9

    The null hypothesis is H_o: \mu  = 30

     The alternative hypothesis is  H_a  :  \mu \ne 30

    The level of significance is  \alpha = 0.01

    The sample mean is  \= x = 31.2

Generally the test statistics is mathematically represented as

      z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }

=>   z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }

=>   z = 1.2

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

         P(Z >  1.2) =  0.11507

Generally the p-value is mathematically represented as

         p-value = 2 * P(Z >  1.2)

=>       p-value = 2 *0.11507

=>       p-value = 0.230

From the value obtained w can see that

         p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

6 0
3 years ago
What is the value of x in the rhombus below?
Maurinko [17]
Look into my attachment

in rhombus ABCD, ∠AOB = 90°

Look at ΔAOB
the sum of inner angles = 180°
∠BAO + ∠AOB + ∠ABO = 180°
2x + 1 + 90 + 2x + 5 = 180°
4x + 96 = 180
4x = 84
x = 21

5 0
3 years ago
Read 2 more answers
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