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Degger [83]
3 years ago
7

A shipping company charges a $6 flat fee for a package, plus a fee based on the weight of the package. The company charges $1.25

per pound, plus an additional $0.50 for every pound over 9 pounds. Adrian plans on sending a package that is over 5 pounds. He has $20 to spend on shipping. What is the maximum number of pounds that his package could be? Enter your answer as a decimal
Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer: 11.2 pounds is the max weight of the package he can have.

Step-by-step explanation: $20 - $6 is $14. $14 divided by 1.25 is 11.2.

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If f(x) = -8 - 5x, what is f(-4)
Mashcka [7]

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

6 0
2 years ago
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Calculate the mean 12,2,8,6,57
fredd [130]
When finding the mean you should first add up all the numbers which are 12,2,8,6 and 57 which will give you a sum of 85 next you should divide your sum by how many numbers there are which is 5 and your answer should be 17
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3 years ago
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(x - 1)2 = 4<br> how do i do this
Gnoma [55]

Answer:

x = 3

Step-by-step explanation:

(x - 1)2 = 4

how to get this solved is very simple.

first step to apply is the BODMAS RULE

B..................... bracket

O..................... of

D.....................Division

M.................... multiplication

A..................... addition

S.................... Subtraction

so (x - 1)2 = 4

we have,

2x - 2 = 4 ( by opening the bracket)

collect the like terms

2x = 4+2

divide both sides by 2

2x/2 = 6/2

x = 3

to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside

(x - 1)2 = 4

(3-1)2=4

2(2)=4

4=4.............................. proved

8 0
3 years ago
Please help me thank you
Hoochie [10]

Answer:

\large\boxed{\sin2\theta=\dfrac{\sqrt3}{2},\ \cos2\theta=\dfrac{1}{2}}

Step-by-step explanation:

We know:

\sin2\theta=2\sin\theta\cos\theta\\\\\cos2\theta=\cos^2\theta-\sin^2\thet

We have

\sin\theta=\dfrac{1}{2}

Use \sin^2\theta+\cos^2\theta=1

\left(\dfrac{1}{2}\right)^2+\cos^2\theta=1\\\\\dfrac{1}{4}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{1}{4}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{4}{4}-\dfrac{1}{4}\\\\\cos^2\theta=\dfrac{3}{4}\to\cos\theta=\pm\sqrt{\dfrac{3}{4}}\to\cos\theta=\pm\dfrac{\sqrt3}{\sqrt4}\to\cos\theta=\pm\dfrac{\sqrt3}{2}\\\\\theta\in[0^o,\ 90^o],\ \text{therefore all functions have positive values or equal 0.}\\\\\cos\theta=\dfrac{\sqrt3}{2}

\sin2\theta=2\left(\dfrac{1}{2}\right)\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\sqrt3}{2}\\\\\cos2\theta=\left(\dfrac{\sqrt3}{2}\right)^2-\left(\dfrac{1}{2}\right)^2=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{3-1}{4}=\dfrac{2}{4}=\dfrac{1}{2}

3 0
3 years ago
Ms. Ritchie has 42 sheets of paper for an art project. Each student needs 5 sheets. How many students can get paper? How many sh
Serggg [28]

Answer:

8.4

Step-by-step explanation:

42÷5

then just multiply your answer to 5 to see if it is right

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3 years ago
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