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3 years ago

Help Please this is algebra one!!

Mathematics

1 answer:

Veronika [31]3 years ago

5 0

The answer is B.

The basic plan is c = 20 + 8s ($20 initial cost + $8 each session)
The trial plan is c = 12s ($12 each session)

You need to write a table to determine when the two amounts will equal each other. At month 5 we see that you will end up spending the same amount of money on each plan.

B T
------------
1) 28 12
2) 36 24
3) 44 36
4) 52 48
5) 60 60

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How much does a customer pay for an article marked at $50 if a sales tax of 6% is charged?

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Answer:

53$

Step-by-step explanation:

6% of 50 is 3, 50+3=53

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3 years ago

Solve the following systems of equations. 2^(2x+y−1) = 32 4^(x−2y) = 2

Rina8888 [55]

Answer:(x,y)=(2.5,1)

Step-by-step explanation:

Given

$2^{2x+y-1}=32$

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thus on comparing

2x+y=6------1

$4^{x-2y}=2$

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3 years ago

The table below shows the population of a town over x years. A 2-column table with 5 rows. The first column is labeled years wit

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Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397$

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

They score is below 24 on the math portion of the exam

6 0

3 years ago

Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed

ivolga24 [154]

Answer:

Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.

4 0

3 years ago