MATHEMATICS COLLEGE

Nancy hears a report that the current national average price of gasoline is $3.14. She averages the prices of stations near her home.she finds the average price of gas to be $2.95. Why are the averages different?

Answers

Answer 1

Answer:

Answer:

Nancy's ambient locality might be having more suppliers, higher supply of Gasoline

Step-by-step explanation:

National average price of gasoline = $3.14

Stations near Nancy's home have an average price = $2.95

Gasoline price near Nancy's house is lesser than national average price level. Number of gasoline stations near her house might be more. It implies increase in its supply. This leads to competition among sellers & reduces the price level.

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What is the answer to this equation?? (-3)^2=( )( )=
Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.
Michael started a savings account with $300. After 4 weeks, he had $350 dollars, after 9 weeks, he had $400. What is the rate of change of money in his savings account per week?
The dimensions of a rectangular flower bed on a sketch are 4 cm by 6 cm. In real life, the shorter side of the flower bed is 5 m. Find the length of the longer side.

Find x. Round to the nearest tenth if needed.

Answers

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

Jamaal is mixing blue and yellow paint to make green. He adds 2 parts blue paint to 2 parts yellow paint.For every 1 part blue paint, there
yellow paint.
Jamaal is not happy with thecolor and adds 1 more part of blue paint. This will make the green paint more

Answers

Final answer:

Jamaal is attempting to create a specific shade of green paint by blending yellow and blue. He initially mixes equal parts of yellow and blue. Unsatisfied with the color produced, he adds another part of blue, resulting in a green shade that is more blue-leaning.

Explanation:

In this scenario, Jamaal is mixing paints to achieve a particular shade of green. Originally, he mixes an equal amount - 2 parts each - of blue and yellow paint. For each 1 part of blue paint Jamaal uses, he also uses 1 part of yellow paint. However, he is not satisfied with thecolor he gets. When Jamaal adds an additional part of blue, this makes the green paint more 'blueish' because the blue to yellow ratio is now 3:2 in favor of blue.

Learn more about Color Mixing here:

brainly.com/question/4521311

#SPJ2

For every 1 part blue paint, there

✔ is 1 part

yellow paint.

Jamaal is not happy with the color and adds 1 more part of blue paint. This will make the green paint more

✔ blue

Please and thank you this is a must so plz answer!

Answers

Answer:

The one on the top right

Step-by-step explanation:

For 1 ticket its $10. That graph shows each number of tickets by 10.

Use the binomial theorem to expand the expression :(3x + y)^5 and simplify.
(b) find the middle term in the expansion of
(1/x+√x)^4 and simplify your unswer.
(c) determine the coefficient of x^11 in the expansion of (x^2 +1/x)^10, simplify your answer.

Answers

Answer:

a) $(3x+y)^5=243x^5+405x^4y+270x^3y^2+90x^2y^3+15xy^4+y^5$ .

b) The middle term in the expansion is $(6)/(x)$ .

c) The coefficient of $x^(11)$ is 120.

Step-by-step explanation:

Remember that the binomial theorem say that $(x+y)^n=\sum_(k=0)^(n) \binom{n}{k}x^(n-k)y^(k)$

a) $(3x+y)^5=\sum_(k=0)^5\binom{5}{k}3^(n-k)x^(n-k)y^k$

Expanding we have that

$\binom{5}{0}3^5x^5+\binom{5}{1}3^4x^4y+\binom{5}{2}3^3x^3y^2+\binom{5}{3}3^2x^2y^3+\binom{5}{4}3xy^4+\binom{5}{5}y^5$

symplifying,

$(3x+y)^5=243x^5+405x^4y+270x^3y^2+90x^2y^3+15xy^4+y^5$ .

b) The middle term in the expansion of $((1)/(x) +√(x))^4=\sum_(k=0)^(4)\binom{4}{k}(1)/(x^(4-k))x^{(k)/(2)}$ correspond to k=2. Then $\binom{4}{2}(1)/(x^2)x^{(2)/(2)}=(6)/(x)$ .

c) $(x^2+(1)/(x))^(10)=\sum_(k=0)^(10)\binom{10}{k}x^(2(10-k))(1)/(x^k)=\sum_(k=0)^(10)\binom{10}{k}x^(20-2k)(1)/(x^k)=\sum_(k=0)^(10)\binom{10}{k}x^(20-3k)$

Since we need that 11=20-3k, then k=3.

Then the coefficient of $x^(11)$ is $\binom{10}{3}=120$

Examine the work shown. Explain the error and find the correct result. 2(4 - 16) - (-30)2-12) - (-30)
24 - (-30)
54

Answers

Answer:

-54

Step-by-step explanation:

When you solve any equation always remember to use PEMDAS (Parentheses Exponents, Multiplication, Division, Addition and Subtraction) use also move left to right. The correct way to solve this is

2(4-16)-30

2(-12)-30

-24-30

-54

Hope this helped

Answer:

Step-by-step explanation:

Third line. "24 - (-30)" has to multiply 2 with -12, so it would be "-24" and not "24".

2(4 - 16) - (-30)

2(-12) + 30

-24 + 30 = 6

A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.)1. How many ounces of almonds would be in a one-pound bag of this trail mix?

2. Explain or show your reasoning. (OPTIONAL)

Answers

Answer:

Step-by-step explanation:

when you combine the amount of almonds and raisins, you get 12 ounces. so out of those 12 ounces, 7 is going to be almonds. aka $(7)/(12)$ . now you just have to multiply that by 16 (since there are 16 ounces in a pound) and you'll get roughly 9.333

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