An engineer drew the graph of a new tire on a coordinate plane. The equation of the tire was x^2+y^2-26y=0. How many feet will the tire roll in 100 complete revolutions. If necessary, round your calculations to the nearest hundredths, and your final answer to the nearest whole number. Complete the explanation (look at picture)

Susan has $5000 invested at 6% and $15000 invested at 10%.

To solve the problem, let's use algebra to define the amount Susan has invested at each rate. Let the amount invested at 6% be represented by x, and consequently, the amount invested at 10% will be 3x, as it is three times the amount invested at 6%. The total interest from both investments is $1800 after one year.

The interest from the investment at 6% is 0.06x, and the interest from the investment at 10% is 0.10(3x), which is 0.30x. The equation representing the total interest is:

Total Interest = Interest from 6% + Interest from 10%

1800 = 0.06x + 0.30x

Combining like terms gives us:

1800 = 0.36x

Dividing both sides of the equation by 0.36 to solve for x:

x = 1800 / 0.36

x = $5000

This is the amount invested at 6%. The amount invested at 10% is 3 times that, so:

3x = 3 * $5000

3x = $15000

Therefore, Susan has $5000 invested at 6% and $15000 invested at 10%.

Answer:

The answer is 6x+4

Step-by-step explanation:

2(3x+4) multiply both constant and variable by the value outside of the parenthesis

and you'll get 6x+4

if you need help then before you look for the answer online be sure to ask your teacher for help so you can understand and want have to look for the answer online

Answer:

B

Step-by-step explanation:

PLEASE GIVE BRAINLYEST

Answer:

Step-by-step explanation:The area of the playground is one and a half times that of the swimming pool. Fir

the swimming pool and the playground.

Without more information, we cannot determine the area of the playground and swimming pool.

To find the area of the playground and swimming pool, we need more information such as the dimensions or area of one of the shapes. Without that information, we cannot solve the problem.

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Answer:

5x + 4y = 20

Step-by-step explanation:

(x1,y1)    and (x2, y2)

(0,    5)     and (4  ,0).

From equation of a line

y2 - y1/x2 - x1 = y - y1/ x - x1

Where x1 = 0, y1 =5 , x2 = 4 , y2 = 0

Imputing values,

0- 5/4-0  = y - 5 / x - 0

-5/4 = y -5/x

Multiply both sides by 4x I. E lcm of 4 and x

4x × -5/4 = y-5/x  × 4x

-5x = 4(y - 5)

-5x = 4y - 20

Add 5x to both sides

-5x + 5x = 5x + 4y - 20

5x + 4y - 20 = 0

Add 20 to both sides

5x + 4y - 20 +20 = 0+20

5x + 4y = 20

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Answer:

5.5

Step-by-step explanation:

think of a numberline that might help

hope this helps!

Answer: slope ; increasing by 10000, y - intercept ; increasing by 500.

Step-by-step explanation:

y = mx+b

x is increasing by 10000

y is increasing by 500

The slope of the table is 1/200 and the y-intercept is 2550.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

The table is given below;

x              y

10000    2500

20000   3000

30000   3500

To find the slope:

m  = (3500 - 2500)/(30000 - 10000)

m = 1000/20000

m = 1/200

Now, the equation of the line that passes through points (10000, 2500) and  has a slope of 1/200 is,

y - 2500 = 1/200(x - 10000)

To find the y-intercept:

Put x = 0,

we get,

y - 2500 = 50

y = 2550

Therefore, 2550 is the y-intercept.

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Answer:

x = -4.02

Step-by-step explanation:

3 4 x + 1 4 (x + 12) − 12 = 4x − 21

Open bracket

34x + 14x + 168 - 12 = 4x - 21

Collect like terms

34x + 14x - 4x = -21+12-168

44x = -177

Divide both sides by 44

x = -177/44

x = -4.02

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Answer:

n = 6

Step-by-step explanation:

Two intersecting chords. The product of the parts of one chord is equal to the product of the parts of the other chord, that is

7(n + 4) = 5(n + 8) ← distribute parenthesis on both sides

7n + 28 = 5n + 40 ( subtract 5n from both sides )

2n + 28 = 40 ( subtract 28 from both sides )

2n = 12 ( divide both sides by 2 )

n = 6

1. She can travel 18 miles. Subtract 35 - 2 (initial fee) to have 33. divide 33 by 1.75 to get 18.85. To check how much her total would be, use inverse operations. 18.85 * 1.75 = 32.9875. 32.9875 + 2 = 34.9875. It is barely under $35 but still in her budget.

2. 20m * $1.75 = $35. $70 - $35 = $35. Yes, she can cover the fare. Samantha has more than needed. She can afford the taxi fare and still have money left for future use.

Answer:

Step-by-step explanation:

1) Shannon can travel exactly 18 miles.

2) Yes, Samantha has enough money for her taxi. The ride would cost her $37. She would have $33 left over.

Answer:

11.413 Hours.

Step-by-step explanation:

Alicia can paint a house in 21 hours; Which means in 1 hour she can paint 1/24 of the house.

Nina can paint the same house in (21+4)  hours. Which means in 1 hour she can paint 1/25 of the house.

Together in 1 hour they can paint:  1/21 + 1/25 = 46/525 of the house.

Total Hours for painting the house together will be 525/46 = 11.413 Hours.

Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

7x+5(-6)=-9

7x-30=-9

7x=21

x=3

Step-by-step explanation:

[tex]y = \frac{1}{2} x + 4[/tex]

and,

[tex]y = - 2x - 3[/tex]

represents perpendicular lines.

Two lines are perpendicular when product of their slopes = -1

In, y =½x+4

m1 = ½

In y = -2x -3

m2 = -2

Now, m1× m2 = ½× (-2) = -1

Answer:

[tex]V = 108π {units}^{2} [/tex]

Step-by-step explanation:

Assuming you are looking for the volume of a cylinder with radius=6in and height =3 in.

First , write the formula for the volume of a cylinder.

[tex]V = \pi {r}^{2} h[/tex]

Next, substitute the radius , r=6 and the height , h=3 .

[tex]V = \pi \times {6}^{2} \times 3[/tex]

[tex]V = \pi \times 36 \times 3[/tex]

[tex]V = 108\pi {units}^{2} [/tex]

Answer:

16 players

12(3/4) = p

Step-by-step explanation:

12/[tex]\frac{3}{4}[/tex] = 16

or 12/3 = 4 x 4 = 16

Answer:16 players

Step-by-step explanation:

Answer:

x < 4

Since you have to simplify on both sides and then divide or multiply the coefficient on both sides to get the answer.

Answer:

28

Step-by-step explanation:

(k + k)(4)

2k(4)

2[5(4) - 6]

2(14)

28

The point [tex](1,2)[/tex] is on the graph of the equation.

Explanation:

The equation is [tex]2x+3y=8[/tex]

We need to determine the point [tex](1,2)[/tex] is on the graph.

To determine the point [tex](1,2)[/tex] is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point [tex](1,2)[/tex] in the equation [tex]2x+3y=8[/tex], we get,

[tex]2(1)+3(2)=8[/tex]

Multiplying the terms within the bracket, we have,

[tex]2+6=8[/tex]

Adding the LHS, we have,

[tex]8=8[/tex]

Thus, both sides of the equation are equal.

Hence, the point [tex](1,2)[/tex] is on the graph of the equation [tex]2x+3y=8[/tex]

Answer:

the number of single room is 27 and the number of double room  is 53

Step-by-step explanation:

Let x is the number of single room

Let y is the number of double room

We know that:

x + y = 80 <=> x = 80 -y (1)

80x +90y= 6930 (2)

Substitute (1) in (2) we have:

80 (80 - y) + 90y = 6930

<=> 6400 - 80y +90y = 6930

<=> y = 53

> x = 80 - 53 = 27

the number of single room is 27 and the number of double room  is 53

Answer:

33.33% or 1/3

Step-by-step explanation:

3/4 = 9/12

1/3 = 4/12

9/12 pounds is the total and 4/12 pounds were used were us

1/12 is equal to 8.333% because 9/12 is the 100%, so, the total tuna salad used was 33.33% = 1/3 of the total.

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Answer:

3/12

Step-by-step explanation:

3/4 x 1/3 = 3/12                                                                                                                         (3x1)  =       3                                                                                                                               (1x3)  =       12  

Answer:

x=21

y=16

z=28

Step-by-step explanation:

Let

The first side=x

The second side =y

The third side=z

The rest is in the attached file

Answer:

First side (x)[tex]=21m[/tex]

Second side[tex]=x-5=21-5=16m[/tex]

Third side[tex]= x+7=21+7=28m[/tex]

Step-by-step explanation:

Perimeter of the triangle= Sum of all the three sides

Let the First side be [tex]'x'[/tex]

Then, Second side [tex]=x-5[/tex]

Third side= [tex]x+7[/tex]

Perimeter[tex]=65 m[/tex]

Perimeter of the triangle= First side + Second side + Third side

      [tex]65=x+(x-5)+(x+7)\\\\65=x+x+x-5+7\\\\65=3x+2\\\\3x=65-2\\\\3x=63\\\\x=63/3\\\\x=21 m\\\\[/tex]

First side (x)[tex]=21m[/tex]

Second side[tex]=x-5=21-5=16m[/tex]

Third side[tex]= x+7=21+7=28m[/tex]

Answer:

The answers are A and E

Answer:

18

Step-by-step explanation:

13 + (⅔)t = 16 + (½)t

(⅔ - ½)t = 3

t/6 = 3

t = 18

Answer:

B) National Brand Cereal and Store Brand Crackers

Step-by-step explanation:

Since she wants to order the items that have the greatest probability of repeat customers she needs to order the items with the larger probability. That is National Brand Cereal and Store Brand Crackers

Answer:

b

Step-by-step explanation:

Answer:

It would be 60%.

Step-by-step explanation:

To find the answer, you would have to do x/100 = 12/20. You would cross multiply leaving you with 20x=1200 you would then divide by 20. This would leave you with the answer of 60. Therefore, your answer is 60%.

Answer: 60%.

Step-by-step explanation:

From the question, 12 : 20 = x

Let the missing value be x.

12/ 20 x 100/1 = 60%

Therefore 12 out of 20 is 60%.

Answer:

5

Step-by-step explanation:

[tex]5a^{2} -44=81\\5a^{2} -44+44=81+44\\5a^{2} =125\\\frac{5a^{2} }{5} =\frac{125}{5}\\a^2=25\\\sqrt{25} =x=5[/tex]

Answer:

His total income during the summer is $1200 ⇒ C

Step-by-step explanation:

To round a number to a nearest given digit

Examples:

1. Round 1235 to the nearest hundred, the hundred digit is 2 and the digit right to it is 3, then keep the hundred digit 2 and put all the digit right to it 0, so the answer is 1200

2. Round 1265 to the nearest hundred, the hundred digit is 2 and the digit right to it is 6, then add the hundred digit 2 by 1 and put all the digit right to it 0, so the answer is 1300

Now let us solve the problem

∵ Jack earns $120  a week

- By rounding his weekly income to the nearest hundred  dollars

∵ The hundred digit is 1

∵ The digit right to it is 2

- Keep the hundred digit 1 and put the digits right to it 0

∴ The rounded number is 100

∴ Jack earns $100 per week

- To estimate his total income during the  12 week summer

   multiply 100 by 12

∴ His total income during the summer = 100 × 12

∴ His total income during the summer = $1200

Answer:

1200

Step-by-step explanation:

Answer:

8.03

Step-by-step explanation:

10+18 = 28

28 - 3.28 - 7.15 - 9.54 = 8.03

20k/20⁴=20⁹

20k=20⁴×20⁹=20¹³

k=20¹³/20=20¹²

Answer: k=20¹²

The value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.

To solve for the value of k in the equation (20k)/(20⁴) = 20⁹, we can follow these steps:

1. Simplify both sides of the equation:

(20k)/(20⁴) = 20⁹

So, (20k)/(20⁴) = (20⁴)²

2. Evaluate the exponent on the right side:

(20k)/(20⁴) = 20⁸

3. Multiply both sides by (20⁴) to eliminate the denominator on the left side:

[(20k)/(20⁴)] * (20⁴) = (20⁸) (20⁴)

Simplifying the left side:

20k = 20¹²

4. Divide both sides by 20 to solve for k:

(20k)/20 = (20¹²)/20

k = 20¹² / 20

5. Further simplify the right side:

k = 20¹¹

Therefore, the value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.

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using the slope formula:

m = y2-y1/x2-x1

3 = -8 - 4/a- -3

3 = -12/a+3

multiply each side by a +3

3a + 9 = -12

move the 9 over by subtraction

3a = -21

divide by 3

a = -7

check it:

3 = -8 - 4/-7 - -3

3 = -12/-4

3 = 3