4/7 of the students in a classroom are boys. If there are twelve girls in the class, how many total students are there?

Answer:

D.

Step-by-step explanation:

So find what two numbers multiply to 72 and add up to 17

9 and 8

(z + 9)(z + 8)

Answer:

D. (z + 9)(z + 8)

Step-by-step explanation:

Let's factor z2+17z+72

z2+17z+72

The middle number is 17 and the last number is 72.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 17

Multiply together to get 72

Can you think of the two numbers?

Try 8 and 9:

8+9 = 17

8*9 = 72

Fill in the blanks in

(z+_)(z+_)

with 8 and 9 to get...

so (z + 9)(z + 8)

Answer:

C. Exponential decay

Step-by-step explanation:

Answer:

Answer: -0.008

Step-by-step explanation:

Hope this helped!

Answer:

19.75

Step-by-step explanation:

U add the, all up then divide by 4

Answer:

19.75

Step-by-step explanation:

17+24+25+13= 79

79/4= 19.75

Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Answer:

(0,0)

Step-by-step explanation:

y= -3x

The y intercept is the y value when x =0

Let x =0

y = -3(0)

y = 0

(0,0)

Answer:

C.

Step-by-step explanation:

You can either graph this function to find the y-intercept or set x =0 and solve for y.

Answer:

Im 99 percent sure its b or c

Step-by-step explanation:

but wait for the other kid to answer

Answer:

she is expected to hit 18 out of the 30 pitches

Step-by-step explanation:

In this question, we are required to use experimental probability to make a prediction.

From the hits she has today, we can estimate the number of hits she might be getting tomorrow.

Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5

Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.

That would be 3/5 * 30 = 18 pitches

The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.

Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".

From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.

Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.

Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.

Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.

Let's denote the angle opposite side x as α and the angle opposite side y as β.

From the given bearings, we can determine the values of α and β:

α = 180° - 35° = 145°

β = 180° - 30° = 150°

Now, using the Law of Sines, we can set up the following ratios:

sin(α) / x = sin(β) / y

Solving for y, we get:

y = (sin(β) / sin(α)) * x

Substituting the known values, we have:

y = (sin(150°) / sin(145°)) * x

Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:

y = (0.5 / 0.996) * x

y = 0.501 * x

Since the two stations are 14 miles apart, we know that x + y = 14.

Substituting the value of y from the previous equation, we have:

x + 0.501 * x = 14

1.501 * x = 14

x = 14 / 1.501

x ≈ 9.33

Now, to find the value of y, we can substitute the value of x into the equation:

y = 0.501 * x

y = 0.501 * 9.33

y ≈ 4.67

Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.

Learn more about the distance here:

brainly.com/question/13269893

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The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.

To solve this problem, we can use trigonometry and create a diagram to visualize the situation.

Now, let's label the diagram. We'll use the following labels:

A: Fire-lookout station A

B: Fire-lookout station B

F: Fire's location

Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.

To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.

For station A:

Angle A = 180° - 35° = 145°

For station B:

Angle B = 180° - 30° = 150°

Now, let's draw lines from each station to the fire, and label the distances as dA and dB.

We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.

For station A:

tan(145°) = opposite side (dA) / adjacent side (14 miles)

dA = 14 * tan(145°)

For station B:

tan(150°) = opposite side (dB) / adjacent side (14 miles)

dB = 14 * tan(150°)

Now, let's calculate these distances using a calculator.

dA = 14 * tan(145°) ≈ 38.7 miles

dB = 14 * tan(150°) ≈ 38.4 miles

for such more question on angles

https://brainly.com/question/25716982

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Answer:

74°

Step-by-step explanation:

The blue angle and the red angle are supplementary angles (meaning they add up to 180°) because these two lines are parallel. Therefore, 106° + ? = 180°, and the red angle is 74°. Hope this helps!

Answer:

71° will be your answer

Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

Answer:

x^2+1

Step-by-step explanation:

x^3+x^2+x+1 / x+1

=(x+1)(x^2+1) / x+1

reduce (x+1) and x+1 and you will get x^2+1

Answer:

a) 0.09

b) 2 ways

Step-by-step explanation:

a) Probability Pedro's shot will score will be given as) :

P(score) = 0.30

The probability he will score in 2 consecutive shots will be calculated as:

P(score) * P(score)

= 0.30 * 0.30

= 0.09

Therefore, probability he will score in 2 consecutive shots is 0.09

b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are :

= 2!

= 2 * 1

= 2

Which could be in this order:

YXZ or YZX

Therefore, the number of ways if Y is chosen first is = 2 ways

Answer: A. 0.09

Just took test.

Answer:

Step-by-step explanation:

im confuesd here

Answer:

[tex]8\frac{1}{2}[/tex] cups

Step-by-step explanation:

To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine [tex]\frac{2}{3}of12\frac{3}{4}[/tex] by multiplying both fractions together

quantity of snack mix Jared guest ate = [tex]\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}[/tex]

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

Answer: 6 strawberries

Answer:

im pretty sure  $460 idk

Step-by-step explanation:

Find an interest by using the formula  

I=P⋅i⋅t

, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this  

P = $2300, i = 10% and t = 2 years,

Answer:

Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture

Step-by-step explanation:

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.

To answer this question, we need to take into consideration a very important property of right angle triangles.

The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides

The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.

Now let’s have the squares!

The square of the hypotenuse is 16 * 16 = 256

Let’s sum the squares of the other two sides;

(8 * 8) + ( 14 * 14) = 64 + 196 = 260

These squares are not equal so we can conclude that the triangle is not a right triangle

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

Answer:

1.5 hours

Step-by-step explanation:

We can write a ratio to solve

19 miles         57 miles

-------------- = --------------

.5 hours          x hours

Using cross products

19x = 57*.5

19x =28.5

Divide each side by 19

19x/19 = 28.5/19

x =1.5

1.5 hours

I put the wrong answer don’t mind me

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

Answer:

no clue bud

Step-by-step explanation:

I’m not sure what that meant.

Answer:

cool

Step-by-step explanation: