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2 years ago

15

Janet plans to save $22.50 each week until she has enough to buy a $180 bicycle. After how many weeks will she have enough money

for a bicycle.

1 answer:

Darya [45]2 years ago

4 0

Answer:

Step-by-step explanation:

8weeeks bc 22.50*8=180

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It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,

aivan3 [116]

Answer:

$k=\dfrac{5}{4}$

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

$k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}$

So, the constant of variation is $\dfrac{5}{4}$ .

3 0

3 years ago

Which figure could be rotated the least amount of degrees to be carried onto itself

jeka94

Regular octagon.
Regular shapes take the least amount of degrees to rotate on themselves. However, out of all of them, the octagon has the most sides and thus also the least amount of degrees in rotating.

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Which of the following number lines represents the solution for 3x + 12 ≤ 24 ?

kari74 [83]

Answer:

Option (2)

Step-by-step explanation:

Given inequality is,

3x + 12 ≤ 24

3x + 12 - 12 ≤ 24 - 12

3x ≤ 12

$\frac{3x}{3}\leq \frac{12}{3}$

x ≤ 4

Now we can plot this inequality on a number line.

An arrow starting with a solid point from x = 4 directing towards negative infinity will be the graph on a number line.

Therefore, Option (2) will be the correct option.

5 0

3 years ago

Steve wants to know what the average ACT scores of students graduated from his high school is. He randomly selected 25 students

beks73 [17]

Answer:

[a]. sample is 25 randomly selected students

also population is all students

[b]. (20.0, 23.0)

[c]. (8.8, 24.2)

Step-by-step explanation:

here is a step by step process to solving this, i hope you find this helpful.

1). The population is all students who graduated from his school while the

sample is 25 randomly selected students from the email list

2). given alpha = 1-0.86=0.14

critical z value(two tailed) for 86% confidence level is:

z=normsinv(0.07) or normsinv(0.93)=1.476

Margin of error=1.476*(4.6/SQRT(20))=1.5

86% confidence interval for population mean

=21.5+/-1.5

=(20.0, 23.0)

3). if population standard deviation is not known,we will use t distribution.

df=20-1=19

t*=tinv(0.05,19)=2.093

Margin of error=2.093*(5.7/sqrt(20))=2.7

95% confidence interval for population mean

=21.5+/-2.7

=(18.8, 24.2)

cheers i hope this helps!!!!

3 0

3 years ago

What is y-2=-3x(x-7) written in standard form?

Len [333]

Answer:

The equation in standard form is

2

3

x

−

y

=

7

.

Explanation:

The standard form for a linear equation is

A

x

B

y

=C

, where

A

,

B

,

and

C

are numbers, and

x

and

y

are variables.

y

=

2

3

x

−

7

Subtract

2

3

x

from both sides of the equation.

−

2

3

x

+

y

=

−

7

Multiply both sides by

−

1

.

2

3

x

−

y

=

7

A

=

2

3

,

B

=

−

1

,

C

=

7

8 0

3 years ago