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frozen [14]
2 years ago
5

Spiral Review A 5-pound bag of organic brown rice costs $12.99. A 12-pound bag of the same type of rice costs $31.99. Which repr

esent the better buy? Explain.
Mathematics
1 answer:
Assoli18 [71]2 years ago
7 0

Answer:

$12.99 for 5 pounds is a better deal

Step-by-step explanation:

for the first case

a 5 lb bag costs $12.00

the unit price (i.e dollars per pound) for this is :

unit price = $12 / 5 lb = $2.40 per pound

for the second case,

a 12 lb bag costs $31.99

similarly, the unit price for this case is :

unit price = $31.99 / 12 lb = $2.67per pound

if we compare the 2 unit price, it is clear that $2.40 per pound is a better deal than $2.67 per pound, hence $12.99 for 5 pounds is a better deal

Hope this helps!

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Twice the complement of angles A is 40 less than the supplement of angle A. Find the measure of angle A
Serggg [28]
Complement adds to 90
complement of A is 90-A


supplement is adds to 180
supplemetn of A is 180-A

2(90-A) is -40+180-A

2(90-A)=-40+180-A
2(90-A)=140-A
distribute
180-2A=140-A
add 2A to both sides
180=140+A
minus 140 both sides
40=A

A=40 degres
4 0
3 years ago
Read 2 more answers
A store manager paid $95 for an item and set the selling price at $116.85. What was the percent markup?
Neporo4naja [7]

We have been given that a store manager paid $95 for an item and set the selling price at $116.85. We are asked to find the percent mark-up.

We will use percent increase formula to solve our given problem.  

\text{Percent increase}=\frac{\text{Final}-\text{Initial}}{\text{Initial}}\times 100\%

\text{Percent increase}=\frac{\$116.85-\$95}{\$95}\times 100\%

\text{Percent increase}=\frac{\$21.85}{\$95}\times 100\%

\text{Percent increase}=0.23\times 100\%

\text{Percent increase}=23\%

Therefore, the mark-up will be 23% and option 'b' is the correct choice.

6 0
3 years ago
Dalton when to high school at 11 yrs and 3 months he left high school at 18 yrs and 2 months old how long did Dalton spend in hi
Tanya [424]

Answer:

Dalton spent 6 years and 11 months in high school.

Step-by-step explanation:

Dalton were in high school at the age = 11 years and 3 months                       He left high school at the age = 18 years and 2 months

Time spent by Dalton in high school = 18 years 2 months - 11 years and 3 months

= (18 - 11) years and (2 - 3) months

= 7 years - 1 month

= (6 + 1) years - 1 month

= 6 years + 1 year - 1 month

= 6years + 12 months - 1 month

= 6 years + 11 months

Therefore, Dalton spent 6 years and 11 months in high school.

6 0
3 years ago
How do I solve -(x+7)-5=4(x+3)-6x
sasho [114]

Answer:

x = 24

Step-by-step explanation:

I checked and made sure the answer was correct.

Hope this helps!

Please Mark Brainliest!

4 0
3 years ago
Solve the equation. StartFraction dx Over dt EndFraction equals StartFraction 1 Over x e Superscript t plus 7 x EndFraction An i
MAVERICK [17]

Answer:

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

Step-by-step explanation:

We are given that

\frac{dx}{dt}=\frac{1}{xe^{t+7x}}

We have to find the implicit function

Using separation variable method

\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}

By using property x^a\cdot x^y=x^{a+y}

xe^{7x}dx=e^{-t}dt

By using property \frac{1}{x^a}=x^{-a}

Taking integration on both sides

\int xe^{7x}dx=\int e^{-t}dt

Parts integration method

\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx

By parts integration method

x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C

Using formula \int e^{ax} dx=\frac{e^{ax}}{a}+C

\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C

\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

We are given that

F(x,t)=C

F(x,t)=\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

8 0
3 years ago
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