10 The ratio of boys to girls on a bus is 4 to 5. If 1 girl and
2 boys get off the bus, what will be the ratio of boys to
girls on the bus?

Answer:

x = 1.7

Step-by-step explanation:

Given

-½ + 5x = 8

Required

Find x

-½ + 5x = 8

Multiply both sides by 2

-1 + 10x = 16

Collect like terms

10x = 16 + 1

10x = 17

Divide both sides by 10

x = 1.7

Answer:

8, and 2

Step-by-step explanation:

(btw the three in the question is suppose to be a 2)

but those two are the only ones that you can add and the equation still equal 8.  

<3

Answer:

the answer to your question is h = 10

Answer:

We think you wrote:

-24>6/7(h-8)

This deals with linear inequalities.

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Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-24-(6/7*(h-8))>0

Step by step solution :

STEP

1

:

6

Simplify —

7

Equation at the end of step

1

:

6

-24 - (— • (h - 8)) > 0

7

STEP

2

:

Equation at the end of step 2

6 • (h - 8)

-24 - ——————————— > 0

7

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 7 as the denominator :

-24 -24 • 7

-24 = ——— = ———————

1 7

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-24 • 7 - (6 • (h-8)) -6h - 120

————————————————————— = —————————

7 7

STEP

4

:

Pulling out like terms :

4.1 Pull out like factors :

-6h - 120 = -6 • (h + 20)

Equation at the end of step

4

:

-6 • (h + 20)

————————————— > 0

7

STEP

5

:

5.1 Multiply both sides by 7

5.2 Divide both sides by -6

Remember to flip the inequality sign:

Solve Basic Inequality :

5.3 Subtract 20 from both sides

h < -20

Inequality Plot :

5.4 Inequality plot for

-0.857 X - 17.143 < 0

One solution was found :

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x-7<11  Equation/Question

Step 2

-3x-7<11  Simplify

-3x-7<11

Step 3

-3x-7<11  Add

-3x<18

Step 4

-3x<18  Divide by 3

answer

x>-6

Hope this helps

Answer:

3.33

Step-by-step explanation:

Answer:

195 miles

Step-by-step explanation:

Answer:

195 miles.

Step-by-step explanation:

In 1 hour Bob drove = 65 miles

In 3 hours, Bob drove = 3 * 65 = 195 miles.

Hope it will help :)

Answer:

3 steps

Step-by-step explanation:

FIrst of all, if you think about it, we can just say -3 as 3 ( even though they are not equal, were just counting steps.)

On a number line, negative numbers are on the left of 0 and positive on the right of 0.

So, lets say the middle number is 0 on our number line. -3 is 3 steps to the left. We take 1 step to negative 1, another step to -2, and then a 3rd and final step to -3.

The steps represent how far the number is from 0. FIr example, we have to add 3 to -3 to get to 0, like how we add 7 to 0 to get 7!

Hope this helps!

Answer:

If you start at 0, you would have to take 3 steps back or -3 steps.

The number of steps represent the positive and negative numbers on the number line.

Step-by-step explanation:

I did the question

Answer:

E

Step-by-step explanation:

64%

Answer: dont see a servay but 60

Step-by-step explanation:

Answer: x = 7.2, y = 7.5

Step-by-step explanation:

Similar triangles have the same proportions.

Since ABC ≅  DEF, then  

Let's solve for x:

⇒  

⇒  

⇒  

⇒  

⇒  

Let's solve for y:

⇒  

⇒  

⇒  

⇒  

⇒

The ratio of corresponding sides is same for all the sides for similar triangles. The value [tex]x[/tex] is 17.5 units and value of [tex]y[/tex] is 19.2 units.

Two polygons are said to be similar or congruent pentagon-

Given information-

In the given figure,

[tex]\Delta ABC\cong \Delta AVW[/tex]

As for the similar triangle the ratios of corresponding sides is same for all the sides. Hence,

[tex]\dfrac{AB}{AV} =\dfrac{BC}{VW} =\dfrac{AC}{AW}[/tex]

Take two ratios to find [tex]x[/tex],

[tex]\dfrac{BC}{VW} =\dfrac{AC}{AW}[/tex]

Put the values,

[tex]\dfrac{16}{10} =\dfrac{28}{x}\\16x=280\\x=\dfrac{280}{16} \\x=17.5[/tex]

Take another two ratios to find [tex]y[/tex],

[tex]\dfrac{BC}{VW} =\dfrac{AB}{AV}[/tex]

Put the values,

[tex]\dfrac{16}{10} =\dfrac{y}{12}\\16\times12=10y\\y=\dfrac{192}{10} \\y=19.2[/tex]

Hence, the value [tex]x[/tex] is 17.5 units and value of [tex]y[/tex] is 19.2 units.

Learn more about the similar polygon here;

https://brainly.com/question/17756657

Answer:

10 min.

Step-by-step explanation:

Answer:

14x+28+21=

14*1+28*1+21

14+28+21

35+28

63

Step-by-step explanation:

Answer:1/9

Step-by-step explanation:

Simplified:

1/3 x 1/3

1/9

Answer:

Number of catfish = 28

Step-by-step explanation:

Let the number of catfish = c

Number of angle fish = c + 6

Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24

Total fishes = 198

c + c + 6 + 4c + 24 = 198           {Combine like terms}

c + c +4c + 6 + 24 = 198

                6c + 30 = 198              {Subtract 30 from both sides}

                     6c    = 198 - 30

                     6c   = 168

                       c = 168/6           {Divide both sides by 6}

                       c = 28

Answer:

(7, -4)

Step-by-step explanation:

it's the only one remotely close to the line.

Answer:

x=4

Step-by-step explanation:

2x+17=25

First subtract 17 from both 17 and 25

2x=8

Now to isolate the exponent, divide by two for both the 2x and 8

x=4

Hope this helped!

Answer:

I am pretty sure it is A because it is -5 and then +2

Step-by-step explanation:

I hope this is right

I hope this helps you...

Answer:

option A

Step-by-step explanation:

the arrow goes from 0-5 then another from 5-3

Answer:

A

Step-by-step explanation:

Answer:36 miles

Step-by-step explanation:

60/10=6

6x6=36

Answer:

(2,0) and (4,0)

Step-by-step explanation:

The roots of the parabola are the points where the value of the function is zero, i.e., where the graph crosses the x-axis.

(2,0) and (4,0)

Answer:

(3,1)

value x is 3

value y is 1

Answer:

37

Step-by-step explanation:

I saw it there in the picture

Answer:

m=2

Step-by-step explanation:

use the slope formula m=y2-y1/x2-x1

Points: (0,4) (-2,0)

m=0-4/ -2-0

m=-4/-2

m=2

Answer:

x = 1

y = 10

(1,10)

hope that helps :)

Answer:

the answer is 1/5

Step-by-step explanation:

constant of proportionality is determined by y/x. if y is 2 and x is 10 then 2/10=1/5

Answer:

the 2nd and last one

Step-by-step explanation:

Answer:

B. Each gallon costs $3

and

D. 8 gallons cost $24

Answer:

SA:48 V:144

Step-by-step explanation:

Answer:

There are 8 males in the class and 42 females.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of females.

y is the number of males.

Class of 50 students

This means that [tex]x + y = 50[/tex]

The number of females is 2 more than 5 times the number of males.

This means that [tex]x = 5y + 2[/tex]

So, finding y, the number of males:

[tex]x + y = 50[/tex]

[tex]5y + 2 + y = 50[/tex]

[tex]6y = 48[/tex]

[tex]y = \frac{48}{6}[/tex]

[tex]y = 8[/tex]

Females:

[tex]x = 5y + 2 = 5*8 + 2 = 42[/tex]

There are 8 males in the class and 42 females.

Answer:

∠G ≅  ∠C

∠F ≅  ∠D

∠H ≅  ∠E

Step-by-step explanation:

Answer: (0,-3)

Step-by-step explanation:

Answer: 375

hope this helps :D

Step-by-step explanation:

225/45=5

5=1%

5 times 74 equals 375