There are 12 boys and 14 girls in a class. One of the students is selected at random to represent the class at student council. What is the probability that the student selected is a girl?

Answer: 75 boys

Step-by-step explanation: Our first step in this problem is to write down the unit ratio that is involved. In this case, it's boys/girls.

Next, we set up our proportion.

We know that there are 5 boys for every 6 girls.

So we have 5/6 and we're asked how many boys are at the dance if 90 girls are at the dance.

So we have [tex]\frac{5}{6} = \frac{x}{90}[/tex].

Notice that the 99 girls must go on the bottom of the second ratio because our unit ratio tells us that we put boys/girls.

Solving from here, we use the means-extremes property.

The product of the extremes,

(90)(5) equals the product of the means, (6)(x).

So we have (90)(5) or 450 equals (6)(x) or 6x.

So we have 450 = 6x and dividing both sides by 6, 75 = x.

So 75 boys are at the winter dance.

Answer:

4 feet wide

Step-by-step explanation:

Area of the garden = 32 square feet

Length = 8 feet

Width = ?

The mimchi garden is rectangular in shape.

Area of a rectangle = L x W

32 = 8 x W

Divide both sides by 8

32/8 = 8/8 x W

4 = w

W = 4 feet wide

Answer:

4 ft.

Step-by-step explanation:

i did the quiz

Answer: 30

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Step 1:  Set y to 5 and z to 3

7x - 5(5) - 2(3) = 4

7x - 25 - 6 = 4

7x - 31 = 4

Step 2:  Add 31 to both sides

7x - 31 + 31 = 4 + 31

7x = 35

Step 3:  Divide both sides by 7

7x / 7 = 35 / 7

x = 5

Answer: x = 5

-12x + 5x

-7x

Hope this helps! ;)

Answer:

-7x

Step-by-step explanation:

If you add 5 to the -12, you get -7. All you have to do is put an x next to your answer.

Answer:

x = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the triangle into 2 right triangles.

Consider the right triangle on the left with base 2

Using Pythagoras' identity

The square on the hypotenuse (x) is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take the square root of both sides )

x = [tex]\sqrt{13}[/tex]

Answer:

Option 4

Step-by-step explanation:

sqrt(3² + 2²)

sqrt(9+4)

sqrt(13)

Answer:

rectangle

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

i’m not sure but i think the function might be 75 + 8.50x=y

Answer: 79=8h +22

Step-by-step explanation: 79 total needed 8h equals 8 times her hourly earning plus 22 what she already haves should equal 79.

Final answer:

To find Moesha's hourly earnings for babysitting, we subtract the amount she already has ($22) from the total needed ($79) to calculate the amount she needs to earn ($57), and divide this by the number of hours she will babysit (8). This gives us the equation 8h = $57, which we solve by dividing both sides by 8, leading us to find that Moesha earns $7.125 per hour.

Explanation:

Moesha needs $79 for a class trip and already has $22. She will earn the remaining amount by babysitting for 8 hours. If we use h to represent Moesha's hourly earnings, we need to set up an equation that when solved, will find her hourly earnings. The total amount Moesha needs to earn from babysitting is $79 - $22, which equals $57. Since she is babysitting for 8 hours, we divide the total amount she needs to earn by the number of hours she will work: $57 ÷ 8 hours.

Putting this into an equation, we come up with 8h = $57. To find her hourly earnings, h, we divide both sides of the equation by 8, giving us h = $7.125 per hour. Therefore, Moesha will earn $7.125 for each hour of babysitting she does.

Answer:

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Step-by-step explanation:

we have the inequality

[tex]11\leq y-43[/tex]

solve for y

Adds 43 both sides

[tex]11+43\leq y[/tex]

[tex]54\leq y[/tex]

Rewrite

[tex]y\geq 54[/tex]

In a number line the solution is the shaded area at right of y=54 (closed circle)

therefore

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Answer:

100.530964915 or 32π

Step-by-step explanation:

Area=πr^2

A=π8^2

A=π(64)

A=~201.062

divide by 2

answer is 100.530964915, not sure how you should round, but 100.5 is probably correct, or the full answer.

edit: i see that there is a pi symbol that u can use in ur answer, the correct answer would be 32π

please mark brainliest if correct, you get points for marking an answer as brainliest :)

Answer:

70 days

Step-by-step explanation:

we  know that

A fort had provisions for 175 men for 70 days.

After 10 days a fort had provisions for 175 men for (70-10)=60 days

but

25 men left the fort

so

The remaining men are 175-25=150 men

Let

x ----> how long the provision will last

we know that

The equation that represent this problem is an inverse variation

[tex]175(60)=150(x)[/tex]

as the number of men decreases the number of days increases

solve for x

[tex]x=175(60)/150=70\ days[/tex]

using proportion

[tex]\frac{175}{60}=\frac{150}{x}\\\\x=150(60)/175\\\\x=70\ days[/tex]

Answer:

Your question isn't clear

Step-by-step explanation:

Answer:

question is not clear

Step-by-step explanation:

Answer:

x+2 1/8 = 7 2/3

Step-by-step explanation:

You write it the way it is said.

The measure of ∠1 is 95°

Solution:

Given a || b.

m∠6 = 85° and m∠3 = 2x°

∠6 and ∠3 are co-interior angles.

Co-interior angles add up to 180°.

⇒ m∠6 + m∠3 = 180°

⇒ 85° + 2x° = 180°

Subtract 85° from both sides.

⇒ 2x° = 95°

⇒ m∠3 = 95°

If two lines cut each other, then vertically opposite angles are congruent.

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Hence the measure of ∠1 is 95°.

I believe its A

Step-by-step explanation:you should upload picture

Answer:

bec we aree

Step-by-step explanation:

Answer:

1- After leaving C, I would travel to Buford.

2- After leaving Buford you can travel to either Athens or Dacula. Both rides cost the same so it doesn't matter which one you pick. I chose Athens.

3- The third city will be whichever option you didn't choose. For example because I chose Athens, I now have to travel to Dacula.

4- The total cost of the trip is $185

Step-by-step explanation:

I took the CR quiz and got a 100% I hope this helps :)

Answer:

10

Step-by-step explanation:

-2k= -k-10

Add k to other side:

-2k+k=-k+k-10

-k=-10

Add + to other side which will leave you with:

k=10

Answer:

k=10

Step-by-step explanation:

If you do

-2k=-k-10

-2       -2

-------------

-4k-12

----- ------

-4    -4

k=10

I think it is wrong sorry if it is

Answer:

(2, -5)

Step-by-step explanation:

Point slope form:  (y - y1) = m(x - x1)

(x1, y1) is the point

(y + 5) = 3(x - 2)

Since it is y + 5, the y value is -5

Since it is x - 2, the x value is 2

(2, -5)

Answer:  (2, -5)

Option a:

sin A for the triangle is [tex]\frac{3}{5}[/tex].

Solution:

The given triangle is a right triangle.

The adjacent side to angle A is AC.

The opposite side to angle A is BC.

Hypotenuse is AB.

AC = 8, BC = 6 and AB = 10.

Using trigonometric ratio formulas,

[tex]$\sin \theta=\frac{\text { Opposite side }}{\text { Hypotenuse }}[/tex]

[tex]$\sin A=\frac{BC}{AB}[/tex]

[tex]$\sin A=\frac{6}{10}[/tex]

Divide both numerator and denominator by 2, we get

[tex]$\sin A=\frac{6\div2}{10\div 2}[/tex]

[tex]$\sin A=\frac{3}{5}[/tex]

Hence sin A for the triangle is [tex]\frac{3}{5}[/tex].

Option a is the correct answer.

Answer:

[tex] y \: = \binom{ + }{ - } 8x[/tex]

Step-by-step explanation:

Working is shown in the picture.

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Answer:

72

Step-by-step explanation:

You have to do 3 x 2 x 12 = 72

Answer:

see explanation

Step-by-step explanation:

A

Given

(x² + 3)² + 21 = 10x² + 30 ← factor out 10 from each term on the right side

(x² + 3)² + 21 = 10(x² + 3) ← subtract 10(x² + 3) from both sides

(x² + 3)² - 10(x² + 3) + 21 = 0

Substituting u = x² + 3 into the equation gives

u² - 10u + 21 = 0 → D

---------------------------------------------

B

Using u² - 10u + 21 = 0 to solve the equation

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the u- term (- 10)

The factors are - 3 and - 7, since

- 3 × - 7 = 21 and - 3 - 7 = - 10, thus

(u - 3)(u - 7) = 0

Equate each factor to zero and solve for u

u - 3 = 0 ⇒ u = 3

u - 7 = 0 ⇒ u = 7

We now have to use the substitution to convert the solutions into terms of x, that is

x² + 3 = 3 ( subtract 3 from both sides )

x² = 0 ⇒ x = 0 → D

x² + 3 = 7 ( subtract 3 from both sides )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

Thus x = - 2 → C

x = 2 → E

Answer:

b = 5

Step-by-step explanation:

Proof: 5^-1 = 1/5 | 5^0 = 1 | 5^1 = 5

Answer: He would have $1.33 after 3 years glad to help please mark brainliest!

Step-by-step explanation:

using simple interest formula: A = P(1 + r)^t

A= Total amount in 3 years

P=starting total

r=rate of percent as a decimal

t=time in years

A=1(1+0.10)^3

A=1(1+0.10)^3

A=1(1.10)^3

A=1(1.331)

A=1.331

A=1.33

Answer:$1.33

Step-by-step explanation: I did the math myself and i would say yes the person above is correct you should give him brainliest...

Answer:

n = -6

Step-by-step explanation:

Step 1:  Divide both sides by 4

4n / 4 = -24 / 4

n = -6

Answer:  n = -6

Answer:

1) C

Step-by-step explanation:

1) 2x + 4 < 5x + 3

3x > 1

x > ⅓