Use the long division method to find the result when 6x^3 + 25x^2+ 18x + 14 is
divided by 2x + 7.

Answer: There are 56 boys in the 10th grade

Step-by-step explanation:

Step 1

ratio of boys to girls in the 10th grade is 8 :13

Number of girls= 91

To find the number of boys, we first find the total number of boys and girls in the 10th grade

Step 2

Now the total ratio= 8 +13=21

Number of girls = ratio of girls/ total ratio  x  Total number of students

91=13/ 21  x  Total number of students

Total number of students =21 x 91 / 13  =147

Step 3

Therefore Number of boys =ratio of boys/ total ratio  x  Total number of student

8/21 x 147=56

Answer:

9.1m

Step-by-step explanation:

h = V ÷ l w = 819 ÷ (10 × 9) = 9.1m

Have a good day

Answer: c

Step-by-step explanation:

Answer: 4d + 3

Step-by-step explanation:

Megan's daughter's age = d

Based on the information given, since Megan's age is three years more than four times her daughter's age, this can be written mathematically as:

= (4 × d) + 3

= 4d + 3

Therefore, Megan's age is 4d + 3.

For example, if the daughters age is 7 years, Megan's age will be:

= 4d + 3

= 4(7) + 3

= 28 + 3

= 31 years

Answer:

3:2

Step-by-step explanation:

I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!

Answer: 1 boy for every 3 girls

Step-by-step explanation:

I put 30/45 into a fraction and simplified.

Answer:

there are no red marbles. so 0/8 is the probability

Answer:

134217728

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5. 43.98 (if not rounding pi, if rounding pi it is 43.96)

6. 201.06 (if not rounding pi, if rounding pi it is 200.96)

7. 72.8

8. 84

9. 3.6

10. 140

11. C

12. 12.6

Step-by-step explanation:

5. C=2*pi*r

6. A=pi*r^2

7. angles in triangle must add up to 180

8. A=bh

9. radius is half of diameter

10. A=(hb)b/2

11. A=pi*r^2

12. radius is 1/2 of diameter

Answer:

8 students

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

There are 4:7 boys to girls, so there is a multiple of 11 people, 4 + 7 = 11.

there are 4*3 boys and 7*3 girls, 12 boys and 21 girls

Answer and Step-by-step explanation:

Work is in Picture:

#teamtrees #PAW (Plant And Water)

Answer:

x = 25

Angle B = 65 degrees

Angle C = 50 degrees

Step-by-step explanation:

All triangles will add up to 180 degrees.

65 + 3x - 10 + 2x = 180

Combine like terms

55 + 5x = 180

Subtract both sides by 55

5x = 125

Divide both sides by 5

x = 25

Plug in the value for x in angle B:

3(25) - 10

75 - 10

65

Do the same for angle C:

2(25)

50

Check your work:

65 + 65 + 50 = 180

180 = 180

Correct

Answer:

true

Step-by-step explanation:

The Answer is $7.00 because 46.95 x 0.15 is 7.0425 which is about $7

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

                              = (20)³

                              = 8000 cubic in.

Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = [tex]\frac{20}{2}[/tex]

r = 10 in

Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]

                                                        = 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

                                                                                       = 3811.21 cubic inch

Answer:

1. 729

2. 25

3. 513

4. 343

5. 1

Step-by-step explanation:

1.

3x3x3x3x3x3

9x9x9

81x9

729

2.

-5 x -5

5x5

25

3.

8-6=2

2x2x2x2x2=

4x4x2=

16x2=

32

-2x-2x-2x-2=

4x4=

16

32x16+1=513

4.

7x7x7x7=

49x49=

2401

2401x2401=

5764801

7x7x7x7x7=

2401x7=

16807

5764801/16807 = 343

5.

9-1=8

8x8x8=512

6+2=8

8x8x8=512

512/512=1

Answer:

[tex]P = [-3/5,2.33][/tex]

Step-by-step explanation:

Given

See attachment for line segment RQ

[tex]P = \frac{5}{6}[/tex] of RQ

Required

The coordinates of P

Using line segment ratio formula, we have:

[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

If P is at:

[tex]P = \frac{5}{6}[/tex]

Then:

[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]

Solve

[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]

[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]

Multiply by 6

[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]

[tex]m : n = 5 : 1[/tex]

By comparison

[tex]m=5\ \& n = 1[/tex]

From the attached line segment

[tex]R(x_1,y_1) = (4,-1)[/tex]

[tex]Q(x_2,y_2) = (-5,3)[/tex]

So, we have:

[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]

[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]

[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]

[tex]P = [-3/5,2.33][/tex]

Answer: 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The figure drawn is a circle.  It's center is a (-5,4) just the opposite of what is in the brackets.  I'm giving you this information just to be complete.

For a circle the radius is found using the lone number on the other side of the equal side -- in this case 121

The radius is the square root of that lone number.  

radius^2 = 121

sqrt(radius^2) = sqrt(121)

radius = 11

Answer:

y = x + 1

Step-by-step explanation:

find slope first:

(4-2) / (3-1) = 2/2 or 1

now find the y-intercept, or 'b' by using one of the two given points and the slope

2 = 1(1) + b

2 = 1 + b

1 = b

equation in slope-intercept form:

y = 1x + 1  or  y = x + 1

Answer:

252

Step-by-step explanation:

14 x 6 x 12 = 1008/2 = 504/2 = 252

Answer:

7x² + 11x - 18

Step-by-step explanation:

13x² - 8 + 11x - 6x² - 10

13x² - 6x² + 11x - 8 - 10

7x² + 11x - 18

Answer:

7x-2=19

5x=15

5x+6=21

................

Step-by-step explanation:

Here x = 3

3x = 1 (False)

3* 3 ≠1

3x = 33 (False)

3 *3 ≠ 33

7x - 2 =19 (True)

7 *3 - 2 = 19

21 - 2 = 19

19 = 19

2x = 5 (False)

2 *3 ≠ 5

5x = 15 (True)

5 * 3 = 15

15 = 15

5x + 6 = 21 (True)

5 * 3 + 6 = 21

15 + 6 = 21

21 = 21

Hope it will help :)❤

Answer:53.38 is the answer

Step-by-step explanation:

The radius is always half of the diameter so half of 17 is 8.5. 8.5x3.14 is 26.69. Then you add 26.69+26.69 to get the answer. (I’m not positive that this is correct)

Answer:

Length of side of square = 8 inch

Step-by-step explanation:

Given:

Length of rectangular wire = 9 inch

Width of rectangular wire = 7 inch

Find:

Length of side of square

Computation:

We know that same wire is used from square

So,

Perimeter of rectangle = Perimeter of square

2[l + b] = 4 x side

2[9 + 7] = 4 x Length of side of square

2[16] = 4 x Length of side of square

32 = 4 x Length of side of square

Length of side of square = 32 / 4

Length of side of square = 8 inch

The probability that Felix will spin a green and an F on the next spin is 2/45.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, Felix spins each spinner 30 times. He

records the number of times each section is spun. Red (7), Yellow (5), Blue (10), Green (8)

Since probability distribution:

A probability distribution is a mathematical function that describes the probability of different possible values of a variable.

probability= desired outcome/ Total Outcomes

In our case,

Total outcomes = 30 *30

Desired outcome = spin a green and an F on the next spin

Since from probability distribution getting F and getting green has a likelihood of 5 and 8.

thus,

Probability  = 8 * 5/ 30 *30

probability = 2/45

therefore,  the probability that Felix will spin a green and an F on the next spin is 2/45.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Answer:

4 × 2/9

Im sorry if I'm wrong

Answer:

4 × 2/9

Step-by-step explanation:

both equal 8/9