Tom purchased 5 football games for 10.88 each and 5 pokemon games for 11.87 each with 6 20 bills. How much change did tom get

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

Step-by-step explanation:

all intiger which is greater than-1.5

Answer:

a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge

b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1

c. False some bounded sequences are divergent

An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]

[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent

Step-by-step explanation:

Answer:

[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

[tex]Gray = 11 * \frac{1}{3}[/tex]

[tex]Gray = \frac{11}{3}[/tex]

Express as a mixed number

[tex]Gray = 3\frac{2}{3}[/tex]

The black rectangle covers 8 partitions

So:

[tex]Black= 8 * \frac{1}{3}[/tex]

[tex]Black= \frac{8}{3}[/tex]

Express as a mixed number

[tex]Black= 2\frac{2}{3}[/tex]

So, the model is:

[tex]Gray + Black = Total[/tex]

Where Total is the point where the black rectangle stops

[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]

Answer:

x= 13, -1

Step-by-step explanation:

3 per week + blank=8              Step-by-step explanation: brainly plz

The answer will be option B. The net pay for the jacob will be equal to $6,188.

The amount paid by any company to the employees without any deductions like taxes or charges is called as the gross pay.

It is given that:-

Gross pay for the year was $8000

The federal tax rate he’ll need to pay is 10%.

Jacob will need to pay 5% and the FICA rate is 7.65%

So the total deductions from the gross pay will be calculated as:-

Deductions = 8000 X 10% +8000 x 5% +8000 x 7.5%

Deductions = 800+400+612=$1812

The net pay will be = 8000-1812 =$ 6188

Hence the net pay for the jacob will be equal to $6,188.

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Answer:

A, B and D are the answers.

Answer:

A, B, D.

Step-by-step explanation:

Answer:

0=0

Step-by-step explanation:

2(2x + 3y)=4x+6y

4x+6y=4x+6y

4x+6y-6y=4x+6y-6y

4x=4x

4x-4x=4x-4x

0=0

True for all

Answer: t - 0.1t and 0.9t

Step-by-step explanation:

Let the original acreage be represented by t.

Since there was a sale which ended up reducing the acreage by 10%, the expression for the new acreage will be:

= t - (10% × t)

= t - (0.1 × t)

= t - 0.1t

= 0.9t

Therefore, the equivalent expressions will be "t - 0.1t" and 0.9t

Answer:

Step-by-step explanation:

n=3p, d=p-2

10d+5n+p=110 using n and d from above makes this become

10(p-2)+5(3p)+p=110

10p-20+15p+p=110

26p-20=110

26p=130

p=5

n=3p=3(5)=15

d=p-2=5-2=3

So she has 3 dimes, 15 nickels, and 5 pennies.

Answer:

Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

Step-by-step explanation:

Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:

100 + 140 = 240

140 = 135 + 19

100 = X

(100 x (135 + 19)) / 140 = X

100 x 154/140 = X

15,400 / 140 = X

110 = X

So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

Answer:

[tex]x = \frac{5}{3} [/tex]

Answer:

on which one

Step-by-step explanation:

Answer:

5 and 16

Step-by-step explanation:

Answer:

Step-by-step explanation:circumference = pi x diameter.

Using 3.14 for pi

Circumference = 3.14 x 7.5 = 23.55

Rounded to the nearest tenth = 23.6

The circumference of the circle with a diameter of 7.5 is, C = 23.6

Used the concept of the circumference of the circle that states,

The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,

C = 2πr

Given that,

The diameter of a circle is 7.5.

Hence, The radius of a circle is,

7.5/2 = 3.75

So, The circumference of the circle with a radius of 3.75 is,

C = 2 × 3.14 × 3.75

C = 23.55

Rounded to the nearest tenth,

C = 23.6

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Answer:

Step-by-step explanation:

Draw a picture to see that the radius must be 7.

Answer: 0.8 ------    1,600

Step-by-step explanation:

Answer:

Answer:

7 and half

Explanation:

cuz if the two lemin fill two then one will fill 50ml ,

then,7×50=350 the remaining is 25 ml which is half of 50 ml so this is half of one lemon.so the answer is 7 and half

Answer:

7 and a half

Step-by-step explanation:

2 lemons=100 ml

?=375 ml

Cross multiplication to get ? which will bring

(375×2)÷ 100 giving 7 ½

Answer:

Original Price was $27.00

Step-by-step explanation:

27*.30=8.10

Answer:

137.24 mm²

Step-by-step explanation:

Big square = 9x9=81

Small rectangle at bottom = 2x3=6

Quarter Circle = 1/4(3.14)(8)(8)=50.24

81+6+50.24=137.24

Answer:

N, O, S, Z, which will be B

Step-by-step explanation:

Answer:

154

Step-by-step explanation:

180-26= 154

Supplementary angles equal 180

Answer:

=2x+4c+17

Step-by-step explanation:

(2x-3)+(4c+20)

=2x-3+4c+20

=2x+4c-3+20

=2x+4c+17