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denis-greek [22]
3 years ago
10

Need by TONIGHT please help

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0
Slope = 1/2 :) 
rise over run (rise/run)
so... 2/4 = 1/2 
hope this helps!
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A spice store charges $2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order
zlopas [31]

Answer:

Part a) The expression is 3.2445x

Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

Step-by-step explanation:

<u><em>The complete question is</em></u>

A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Part a)  Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams

Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

step 1

Convert grams to ounces

Remember that

1\ oz=28\ g

To convert grams to ounces divide by 28

25\ g=25/28= 0.89\ oz

The unit price is

2.75/0.89=3.09\frac{\$}{oz}

Let

x ----> the number of ounces of paprika

y ----> the cost of buying and shipping x ounces of paprika

5%=5/100=0.05

y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x

Part b) For x=2.5 oz

substitute in the equation

y=3.2445(2.5)=\$8.11

\$8.11 > \$8.00

therefore

Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

3 0
3 years ago
Solve this system to determine the number of solutions 7x + 12 = 2(x + 6)
gladu [14]

One solution, the answer is x = 0.

4 0
3 years ago
Given the following absolute value function find the range. ƒ(x) = |x + 5| - 8
balandron [24]
The result of an absolute value operation is never negative. So the smallest that the expression |x+5| can be is 0. 

Tacking on "-8" to |x+5| leads to |x+5|-8

The range of this is [-8, infinity) since the smallest |x+5|-8 can be is -8. All I did was subtract 8 from the smallest value of |x+5|

Final Answer: choice C)
7 0
3 years ago
F is directly proportional to A. if F=72 when A=9 find F when A=7
Usimov [2.4K]
56 is your answer.

Equation for direct proportion is y = kx where k is the constant of proportionality. For your letters, it’s f = ka

We know 72 =k9, so k = 8
Then they want you to solve
f = 8•7
f = 56
6 0
3 years ago
When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula,
astra-53 [7]

Answer:  Approximately 1.9 atm

============================================

Work Shown:

P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

-----------

As a check,

P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\

which has the two sides much closer to one another. This helps us verify the answer.

5 0
3 years ago
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