what is the solution

Answer:

6 runners finished the race

Step-by-step explanation:

Total number of runners = 54

In the first half of the race, 1/3 of them dropped out

= 1/3 of 54

= 1/3 * 54

= 54/3

= 18 runners

Runners remaining after first half = total runners - dropped out runners at first half

= 54 - 18

= 36 runners

In the second half of the race, 5/6 of the remaining runners dropped out

= 5/6 * 36

= (5*36)/6

= 180/6

= 30 runners

Runners remaining after second half = runners remaining after first half - dropped out runners at second half

=36 - 30

= 6 runners

Therefore, 6 runners finished the race

Answer: 511,000,000 km^2

Step-by-step explanation: divide 361,736,000 by .708 looks like  

361,736,000///.708  Then you get your answer!

Answer:

-4

Step-by-step explanation:

Here, we want to get the greatest integer less than -3

The integer less than -3 that is the greatest is -4

It is the internet directly after it to the left of the number line

Answer: 21 Nickels

21 dimes

8 pennies

Step-by-step explanation:

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} / \frac{9}{1} = \frac{1}{2} (\frac{1}{9} ) = \frac{1}{18}[/tex]

Answer:

the answer is B

Step-by-step explanation:

since 10 isn't a perfect square

Answer:$5.85

Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85

Answer:

$5.85. Hope this helped! :')

Step-by-step explanation:

1. Use the algorithm method.                              

          5      . 8 5

9 |        5 2 . 6 5

            4 5 .  

                7 . 6

                7 . 2

                      4 5

                      4 5

2. Therefore, 52.62 divided by 9=5.85

5.85

Answer:

[tex]\frac{26}{52}[/tex], [tex]\frac{13}{52}[/tex], [tex]\frac{52}{52}[/tex], [tex]\frac{1}{52}[/tex]

Step-by-step explanation:

In a deck of playing cards there are 52 cards total.

13 clubs

13 hearts

13 spades

13 diamonds

half are red and half are black

all of the cards are red or black

plz mark me brainliest ;)

Answer:

(59°F − 32) × 5/9 = 15°C

Step-by-step explanation:

Simply follow the equation and you will get your answer.

Given:

Consider the complete question is "A field provides grazing for 18 sheep for 8 days. How many days grazing would it provide for 24 sheep?".

To find:

The number of days the field provides grazing for 24 sheep.

Solution:

We have,

If number of sheep = 18, then, number of days = 8.

If number of sheep = 24, then, number of days = x.

Now, the products of number of sheep and number of days are equal because they represent the total work done.

[tex]18\times 8=24\times x[/tex]

[tex]\dfrac{18\times 8}{24}=x[/tex]

[tex]\dfrac{144}{24}=x[/tex]

[tex]6=x[/tex]

Therefore, the field provides grazing for 24 sheep for 6 days.

Answer:

10

Step-by-step explanation:

yup that's all have sorry

Answer:

x= 58

Step-by-step explanation:

$1500 = $25x + $50

minus 50

1450 = 25x

divide by 25

58 = x

hope this helps!

Answer:

$58

Step-by-step explanation:

1,500-50=1450

1450/25=58

Answer:

y =  -5/6x - 7

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)

The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)

Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)

Answer:

Answer is

Step-by-step explanation:

D

Lala!smzl!smzkaka

Answer:

The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3

Step-by-step explanation:

Quadrilateral ABCD has the following coordinates

A(1, 5), B(2, 6), C(3, 3) and D(1, 3)

The image A'B'C'D' has the following coordinates;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {AB}[/tex] = √((2 - 1)² + (6 - 5)²) = √2

The length of segment [tex]\overline {BC}[/tex] = √((3 - 6)² + (3 - 2)²) = √10

The length of segment [tex]\overline {CD}[/tex] = √((1 - 3)² + (3 - 3)²) = 2

The length of segment [tex]\overline {DA}[/tex] = √((1 - 1)² + (3 - 5)²) = 2

For quadrilateral, we have;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {A'B'}[/tex] =  √(0 - (-3))² + (4 - 1)²) = 3·√2

The length of segment [tex]\overline {B'C'}[/tex] = √((3 - 0)² + (-5 - 4)²) = 3·√10

The length of segment [tex]\overline {C'D'}[/tex] = √((-3) - 3)² + (-5 - (-5))²) = 6

The length of segment [tex]\overline {D'A'}[/tex] = √((-3) - (-3))² + ((-5) - 1)²) = 6

The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;

[tex]The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3[/tex]

Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3

Answer:

(1 yard) 3 = 1 3 yard*yard*yard = 1 yard*yard*yard = 1 cubic yard. Since 1 yard = 3 feet, we have.

1 cubic yard = (1 yard) 3 = (3 feet) 3 = 33 feet*feet*feet = 27 cubic feet.

Step-by-step explanation:

Answer: Blll's family has 70% of driving left.

Step-by-step explanation:

The total mileage of the trip = 3,000 miles.

miles driven so far = 900miles

Miles of diatance left = 3000- 900=2100

Percentage of driving left =  Miles of diatance left / Total miles to cover x 100

=2100/3000 x 100

= 7/10  x100

70%

Answer:

14

Step-by-step explanation:

Answer:

14m squared

Step-by-step explanation:

2.5×2=5

5÷2=2.5

2.5 is the area for each triangle and there are four triangles altogether so

2.5×4=10

to find the square do 2×2=4

so 4m+10m=14m

Answer:

18

Step-by-step explanation:

C = 2πr

r = 3

2π(3) = 18.85

Answer:

[tex]c^2 = 9dp[/tex]

Step-by-step explanation:

Given

[tex]dx^2 + cx + p = 0[/tex]

Let the roots be [tex]\alpha[/tex] and [tex]\beta[/tex]

So:

[tex]\alpha = 2\beta[/tex]

Required

Determine the relationship between d, c and p

[tex]dx^2 + cx + p = 0[/tex]

Divide through by d

[tex]\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0[/tex]

[tex]x^2 + \frac{c}{d}x + \frac{p}{d} = 0[/tex]

A quadratic equation has the form:

[tex]x^2 - (\alpha + \beta)x + \alpha \beta = 0[/tex]

So:

[tex]x^2 - (2\beta+ \beta)x + \beta*\beta = 0[/tex]

[tex]x^2 - (3\beta)x + \beta^2 = 0[/tex]

So, we have:

[tex]\frac{c}{d} = -3\beta[/tex] -- (1)

and

[tex]\frac{p}{d} = \beta^2[/tex] -- (2)

Make [tex]\beta[/tex] the subject in (1)

[tex]\frac{c}{d} = -3\beta[/tex]

[tex]\beta = -\frac{c}{3d}[/tex]

Substitute [tex]\beta = -\frac{c}{3d}[/tex] in (2)

[tex]\frac{p}{d} = (-\frac{c}{3d})^2[/tex]

[tex]\frac{p}{d} = \frac{c^2}{9d^2}[/tex]

Multiply both sides by d

[tex]d * \frac{p}{d} = \frac{c^2}{9d^2}*d[/tex]

[tex]p = \frac{c^2}{9d}[/tex]

Cross Multiply

[tex]9dp = c^2[/tex]

or

[tex]c^2 = 9dp[/tex]

Hence, the relationship between d, c and p is: [tex]c^2 = 9dp[/tex]

Answer:

150 = 0.50y + 1.00x

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

a square's sides should be the same angle

Answer:

i believe its the last one but im not 100% sure

Step-by-step explanation:

Answer:

16.3, 14, 8, -3

Step-by-step explanation:

Any number less than 16.3 and 16.3 are acceptable answers

Answer:

x = 3.5

Step-by-step explanation:

3.5 x 3 is 10.5. Triangle two has been expanded each side by 1.5. So multiply 7 (the side with 3x on the other triangle) x 1.5 to get 10.5. To fid x divide 10.5 by 3. This gives you 3.5 as x.

Hope it helps!

Answer:

x = 3.5

Step-by-step explanation:

What we know that the scale factor is 1.5 going from DEF to XYZ (4.5/3 = 1.5; 7.5/5 = 1.5)

So, multiply 7 by 1.5 to get ZX's length. It would be 10.5 units long.

We now know the equation, which is 3x = 10.5

3x = 10.5

Cancel out the multiplication by dividing both sides by 3

x = 10.5/3

Divide 10.5 by 3 to get 3.5

x = 3.5 in this case.

Answer:

the slope is 3/4x

Step-by-step explanation:

if you need it in slope intercept form too its y=3/4x-1

Answer:

need measurments

Step-by-step explanation:

Answer:

[tex]\\\sqrt[1]{8}[/tex][tex]\sqrt[1]{8}[/tex]

Step-by-step explanation: