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Vedmedyk [2.9K]

3 years ago

13

Mr. Mendez buys his wife a coffee machine on Amazon. The coffee machine’s starting price is $49. The coffee machine is 5% off. T

here is an additional 10% service fee added for shipping and handling. How much will Mr. Mendez pay in total?

1 answer:

iren [92.7K]3 years ago

7 0

She had coffee about like 4

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Billy has a gallon of paint. He us going to pour it into a paint tray that measures 10 inches wide, 14 inches long and 4cm deep.

erica [24]

Answer:

Tray will overflow with $10.53\ \text{inch}^3$ of paint.

Step-by-step explanation:

Dimensions the tray is 10 inch by 14 inch by 4 cm

$1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}$

$4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}$

Volume the tray can hold is

$10\times 14\times \dfrac{4}{2.54}\ \text{in}^3$

$1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}$

The volume of paint Billy has is $1\ \text{gallon}$

Difference in the volume of paint and volume of tray in cubic inches is

$\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3$

The tray will overflow with $10.53\ \text{inch}^3$ of paint.

3 0

2 years ago

find the x-intercepts of the parabola with vertex (1,20) and y-intercept (0,16) write your answer in this form

bagirrra123 [75]

Hello here is a solution :

4 0

3 years ago

1-What is the sum of the series? ∑j=152j Enter your answer in the box.

tangare [24]

Answer:

Please see the Step-by-step explanation for the answers

Step-by-step explanation:

1)

∑ $\left \ {{5} \atop {j=1}} \right.$ 2j

The sum of series from j=1 to j=5 is:

∑ = 2(1) + 2(2) + 2(3) + 2(4) + 2(5)

= 2 + 4 + 6 + 8 + 10

∑ = 30

2)

This question is not given clearly so i assume the following series that will give you an idea how to solve this:

∑ $\left \ {{4} \atop {k=1}} \right.$ 2k²

The sum of series from k=1 to j=4 is:

∑ = 2(1)² + 2(2)² + 2(3)² + 2(4)²

= 2(1) + 2(4) + 2(9) + 2(16)

= 2 + 8 + 18 + 32

∑ = 60

∑ $\left \ {{4} \atop {k=1}} \right.$ (2k)²

∑ = (2*1)² + (2*2)² + (2*3)² + (2*4)²

= (2)² + (4)² + (6)² + (8)²

= 4 + 16 + 36 + 64

∑ = 120

∑ $\left \ {{4} \atop {k=1}} \right.$ (2k)²- 4

∑ = (2*1)²-4 + (2*2)²-4 + (2*3)²-4 + (2*4)²-4

= (2)²-4 + (4)²-4 + (6)²-4 + (8)²-4

= (4-4) + (16-4) + (36-4) + (64-4)

= 0 + 12 + 32 + 60

∑ = 104

∑ $\left \ {{4} \atop {k=1}} \right.$ 2k²- 4

∑ = 2(1)²-4 + 2(2)²-4 + 2(3)²-4 + 2(4)²-4

= 2(1)-4 + 2(4)-4 + 2(9)-4 + 2(16)-4

= (2-4) + (8-4) + (18-4) + (32-4)

= -2 + 4 + 14 + 28

∑ = 44

3)

∑ $\left \ {{6} \atop {k=3}} \right.$ (2k-10)

∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)

= (6-10) + (8-10) + (10-10) + (12-10)

= -4 + -2 + 0 + 2

∑ = -4

4)

1+1/2+1/4+1/8+1/16+1/32+1/64

This is a geometric sequence where first term is 1 and the common ratio is 1/2 So

a = 1

This can be derived as

1/2/1 = 1/2 * 1 = 1/2

1/4/1/2 = 1/4 * 2/1 = 1/2

1/8/1/4 = 1/8 * 4/1 = 1/2

1/16/1/8 = 1/16 * 8/1 = 1/2

1/32/1/16 = 1/32 * 16/1 = 1/2

1/64/1/32 = 1/64 * 32/1 = 1/2

Hence the common ratio is r = 1/2

So n-th term is:

$ar^{n-1}$ = $1(\frac{1}{2})^{n-1}$

So the answer that represents the series in sigma notation is:

∑ $\left \ {{7} \atop {j=1}} \right.$ $(\frac{1}{2})^{j-1}$

5)

−3+(−1)+1+3+5

This is an arithmetic sequence where the first term is -3 and the common difference is 2. So

a = 1

This can be derived as

-1 - (-3) = -1 + 3 = 2

1 - (-1) = 1 + 1 = 2

3 - 1 = 2

5 - 3 = 2

Hence the common difference d = 2

The nth term is:

a + (n - 1) d

= -3 + (n−1)2

= -3 + 2(n−1)

= -3 + 2n - 2

= 2n - 5

So the answer that represents the series in sigma notation is:

∑ $\left \ {{5} \atop {j=1}} \right.$ (2j−5)

6 0

3 years ago

In Mr. Harold's class there are 12 students. They each have 5 pencils. Some of the students, s, each lost 2 pencils. Now, the st

Katena32 [7]

The answer would be C. (12 x 5) - (s x 2) = 38.

This is because if there are 12 students with 5 pencils per student, we can say 12 x 5. Then, think of the phrase, two pencils lost per student. That would be 2s, or (s x 2). Since it’s lost, we would subtract that amount from 12 x 5.

3 0

3 years ago

Which of the following are solutions to the equation below? check all that apply. 9x^2-6x+1=7

Evgesh-ka [11]

The answer is C and D

First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation <span>9x^2 - 6x - 6 = 0

Then we will use the quadratic formula to find the answers.

</span>using the Quadratic Formula where:
a = 9, b = -6, and c = -6

and the formula is 6 +- $\sqrt{6^2 - 4(9)(-6)}$ / 2(9)

6 0

3 years ago

Read 2 more answers