1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leona [35]
3 years ago
8

Nola purchased 2.5 pounds of cheese for 10.50. Her mother purchased 3pounds of the same cheese for$12.60. The cost of cheese var

ies directly with the number of pounds purchased. How much does one pound of cheese cost?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

You might be interested in
Which number rounds to the nearest 300,00when rounding to the nearest thousand
stealth61 [152]
What are the numbers
5 0
4 years ago
(01.02 MC)
seropon [69]
<span>2x − 3y − z 
</span><span> x = −2,
</span><span> y = 3,
</span><span> z = −2
 What we must do is replace the values given in the equation. We have then replacing:
</span> 2*(-2) - 3*(3) - (-2) = -11
 The answer is -11

6 0
3 years ago
A living room has a circular rug. According to a small tag, the rug has a circumference of 6.28 yards. What is the rug's area?
cluponka [151]

Answer:

A = 3.14 yd^2

Step-by-step explanation:

The circumference  is given by

C = 2 * pi * r

Letting pi be approximated by 3.14

6.28 = 2 * (3.14) *r

6.28 = 6.28 r

Divide each side by 6.28

6.28/6.28 = 6.28r/6.28

1=r

We can find the area by

A = pi r^2

A = 3.14 (1)^2

A = 3.14

6 0
3 years ago
What is the solution for x in the given equation? The square root of 9x +7 + the square root of 2x = 7
cestrela7 [59]

Answer:

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

Step-by-step explanation:

We need to find the solution for x in the given equation.

\sqrt{9x+7} +\sqrt{2x}=7

Solving:

Subtract \sqrt{2x} from both sides

\sqrt{9x+7} =7-\sqrt{2x}

Taking square on both sides

(\sqrt{9x+7})^2 =(7-\sqrt{2x})^2\\Using\,\, (a-b)^2 = a^2-2ab-b^2\\9x+7=(7)^2-2(7)(\sqrt{2x})+(\sqrt{2x})^2\\9x+7=49-14\sqrt{2x}+2x\\9x-2x+7-49=-14\sqrt{2x}\\7x-42=-14\sqrt{2x}\\Taking\,\,square\,\,on\,\,both\,\,sides\\(7x-42)^2=(-14\sqrt{2x})^2\\49x^2-2(7x)(42)+(42)^2= 196(2x)\\49x^2-588x+1764=392x\\49x^2-588x+1764-392x=0\\49x^2-980x+1764=0\\Using \,\,quadratic \,\, equation  \,\,to \,\, find \,\, value \,\, of \,\, x \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a= 49, \, b= -980 \,\,and\,\, c = 1764

Putting values and solving

x=\frac{-(-980)\pm\sqrt{(-980)^2-4(49)(1760)}}{2(49)}\\x=\frac{980\pm\sqrt{614656}}{98}\\Solving\\x=18 \,\, and x =2

Verifying the solution by putting values of x in given equation

Putting x=18

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(18)+7} +\sqrt{2(18)}=7\\\sqrt{169} +\sqrt{36}=7\\13+6=7\\19\neq 7

So, x=18 is not solution o given equation.

Putting x = 2

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(2)+7} +\sqrt{2(2)}=7\\\sqrt{25} +\sqrt{4}=7\\5+2=7\\7=7

So, x=2 satisfies the equation

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

7 0
3 years ago
How is finding the factors of a number different from finding the prime factorization of a number?
Hunter-Best [27]
Finding the factors of a number involves both prime and composite numbers while finding the prime factors of a number involves only prime numbers.
3 0
3 years ago
Other questions:
  • The slope of the line below is - 1. Write a point-slope equation of the line
    7·1 answer
  • The ratio of dogs to cats is ?? to ??
    9·1 answer
  • How would I solve for x and y?
    8·1 answer
  • Kenya used a debit card to buy a pair of jeans. Which statement is true about her method of payment? Kenya used money directly f
    13·1 answer
  • Will give brainliest! ;D
    12·1 answer
  • If 5x-3=8-2x then x=
    6·1 answer
  • What's the answer to this?​
    9·1 answer
  • Suppose the equation of a line is 2x − 4y = − 8. Which coordinate pair represents the y-intercept?
    5·2 answers
  • Find the area enclosed by the figure
    15·1 answer
  • Which of the following identities is used to expand the polynomial (3x - 4y)2?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!