There are 14 math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?

Answer:

Elliot = 16 years old

Miya = 10 years old

Cara = 25 years old

Step-by-step explanation:

Define the variables:

The average age of Elliot, Miya and Cara is 4 years more than the average age of Elliot and Miya:

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y}{2}+4[/tex]

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y+8}{2}[/tex]

[tex]\implies 2(x+y+z)=3(x+y+8)[/tex]

[tex]\implies 2x+2y+2z=3x+3y+24[/tex]

[tex]\implies 2z=x+y+24[/tex]

[tex]\implies x=2z-y-24[/tex]

Cara is 9 years older than Elliot:

[tex]\implies z = x + 9[/tex]

Four years ago, Elliot was double the age of Miya:

[tex]\implies (x - 4) = 2(y - 4)[/tex]

[tex]\implies x - 4 = 2y-8[/tex]

[tex]\implies x +4 = 2y[/tex]

[tex]\implies y=\dfrac{1}{2}x +2[/tex]

Substitute the equations for z and y into the equation for x and solve for x:

[tex]\implies x=2z-y-24[/tex]

[tex]\implies x=2(x+9)-\left(\dfrac{1}{2}x +2\right)-24[/tex]

[tex]\implies x=\dfrac{3}{2}x-8[/tex]

[tex]\implies \dfrac{1}{2}x=8[/tex]

[tex]\implies x=16[/tex]

Substitute the found value of x into the equation for z and solve for z:

[tex]\implies z = 16 + 9[/tex]

[tex]\implies z = 25[/tex]

Substitute the found value of x into the equation for y and solve for y:

[tex]\implies y=\dfrac{1}{2}(16) +2[/tex]

[tex]\implies y=8+2[/tex]

[tex]\implies y=10[/tex]

Therefore, the ages of Elliot, Miya and Cara are:

Answer:

person has a 10% chance of having high bp

Step-by-step explanation:

200 out of 1936 equals about 10%

Answer:

30 quarts= 0.8057 bushels

rounded to the nearest hundredths = 0.81

The measurement of three angles in the triangle are 43°, 81°, 56°.

A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it.

Given three angles,

∠A = (5x - 17)°

∠B = (7x - 3)°

∠C = 56°

We know that in a triangle ∠A + ∠B + ∠C = 180°

By substituting values,

(5x - 17) + (7x - 3) + 56 = 180

12x -20 + 56 = 180

12 x + 36 = 180

12x = 180 - 36

12x = 144

x = 144/12

x = 12

By substituting values of x we get,

∠A = (5x - 17)°

     = 5 x 12 - 17

     = 60 - 17

     = 43

∠A = 43°

∠B = (7x - 3)°

     = 7 x 12 - 3

     = 84 - 3

     = 81

∠B = 81°

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Check the picture below.

Answer:

it is b. she will have 99 bucks.

Tgwre is no attached ANOVA chart.

Answer:

y = 0.762x + 1.72

Step-by-step explanation:

Given the data above , the regression model obtained using a Pearson linear regression calculator is :

y = 0.762x + 1.72

The regression equation cloud be interpreted as follows :

Slope, which is the increase in the value of y per unit increase in x = 0.762

The intercwpt, which is the value of x when y = 0 is 1.72

x = amount of money spent in fireworks for 4th July

y = Attendance at the October fall festival.

Answer:

x > -4

Step-by-step explanation:

This is solved just like as if it was an equation. Its a two-step equation (inequality) The only thing that's different is with an inequality, it is imperative that you flip the inequality symbol if you multiply or divide by a negative number.

Here, we'll subtract 4 from both sides. Then divide by -3 on both sides. Flip! the < to a >.

see image.

x > -4.

[tex]4-3x < 16[/tex]

[tex]4-3x-4 < 16-4\\ \\-3x < 12[/tex]

[tex]\frac{-3x}{-3} < \frac{12}{-3} \\ \\x > -4[/tex]

Important. See that we switched the inequality symbol from "<" to ">", and this is because the symbol of the coefficient of variable "x" changed from negative to positive when it was divided by "-3". This rule will always be true, any time the symbol of the variable changed, the inequality symbol changes.

If x >-4 is the correct answer, then substituting x by "-4" in the inequation should make the inequation return the same value on both sides of the inequality symbol (>).

[tex]4-3(-4) > 16\\ \\4-(-12) > 16\\ \\4+12 > 16\\ \\16 > 16[/tex]

That's correct! x > -4 is the correct answer.

Answer:

Slope: [tex]\frac{1}{2}[/tex]

Y-intercept: (0,4)

Step-by-step explanation:

Put the equation into y = mx + b form, which is y = [tex]\frac{1}{2}[/tex] +4. Then create a table.

X: -2, -1, 0, 1, 2

Y: 3, [tex]\frac{7}{2}[/tex], 4, [tex]\frac{9}{2}[/tex], 5

Answer:

1. Check all except for large pizza

2. how much Donna spent on one garlic bread

Step-by-step explanation:

Hope it helps :)

Answer:

The probability of drawing a bag with bad potatoes is less than 1. True

The probability of drawing a bag with good potatoes is greater than 0. True

What is the probability of drawing a bag with bad potatoes?

The probability of drawing a bag with bad potatoes is (2 bad bags) / (20 total bags) = 0.1 or 10%.

What is the expected probability of the complement of the event?

The complement of the event of drawing a bag with bad potatoes is drawing a bag with good potatoes. The probability of drawing a bag with good potatoes is (18 good bags) / (20 total bags) = 0.9 or 90%.

Uday Tahlan

Answer:

8,100,000,000

Step-by-step explanation:

I used a calculator lol

Answer:

8

Step-by-step explanation:

If 7 tickets equals 56

56/7=8

Answer:

8 Dollars

Step-by-step explanation:

If the question you are asking is how much is a ticket, if 7 tickets cost a total of 56 dollars, then the answer is 8. This is because you would divide the total cost bu how many there are, which would look like 56 / 7 = 8.

Answer:

There are 23 students

-- 9 students play neither sport

-- therefore, 23 - 9  =  14 students play at least one of the two sports; some play both sports.

Inclusive or:  the probability will be:  14 / 23 that a student chosen at random will play at least one of the two sports.

Exclusive or: we need to first find how many students play both sports.

Since 14 persons play sports and since 7 play basketball and 12 play baseball, this requires 7 + 12 = 19 students.

Subtracting  19 - 14 = 5 give the number of students who play both sports.

If we eliminate these 5 persons as well as the 9 who play neither sport, we have to eliminate 5 + 9  =  14 persons.

This gives 23 - 14 = 9 persons who play only one of the two sports.

The probability will be:  9/23 play a sport, but only one sport.

Step-by-step explanation:

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that a student does not play an instrument given that they play a sport, we need to use conditional probability.

Let A be the event that a student plays a sport and B be the event that a student plays an instrument.

We want to find P(not B | A), which is the probability that a student does not play an instrument given that they play a sport.

We know that,

P(A) = 7/23, P(B) = 9/23, and P(A and B) = 3/23.

Using the formula for conditional probability, we have:

P(not B | A) = P(A and not B) / P(A)

We can find P(A and not B) by using the fact that,

P(A and B) = P(B) - P(A and not B).

P(A and not B)

= P(B) - P(A and B)

= 9/23 - 3/23

= 6/23

Substituting into the formula, we get:

P(not B | A) = (6/23) / (7/23) = 6/7

Therefore,

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

Learn more about probability here:

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Answer:

80*

Step-by-step explanation:

Answer: I found the answer!!!

Step-by-step explanation: enter this in bitly - 2SoXiJd

Answer: To replace the three steps with a ramp, the height of the ramp must be equal to the total height of the steps. Since each step is 10 cm high, the total height of the three steps is 3 * 10 = 30 cm.

The length of the ramp must be equal to the length of the steps, since the ramp is replacing them. Since each step is 35 cm long, the total length of the three steps is 3 * 35 = 105 cm.

So the length of the ramp to replace the three steps leading to the front door is 105 cm, correct to one decimal place.

Step-by-step explanation:

Answer:

3. 30

4. 46

5. 55

Step-by-step explanation:

Answer:

IQR = 32 - 26 = 6

Step-by-step explanation:

Answer:

the answer is 11

Step-by-step explanation:

I took the algebra nation test

Answer:

60/s or s/60

Quotient means divide so you divide the following, s and 6 by each other.

Step-by-step explanation:

Hope it helps! =D

Answer: It's closer to 1/2

Step-by-step explanation: It's closer to 1/2 and here's why:

So, 1/2 (exact) is 8/16

0 = 0

1 = 16/16

Since 9/16 is the closest to 8/16 or around 1/2 in this case, it'd be about 1/2. I hope this helps!

Answer:

It is A: A: x+1=3^2 on EDG

Step-by-step explanation:

it is false but 4 is not y-4x=0

Answer:

A) Angle A. Angle EG.

B) Angle A and Angle F.

C) Angle EG and Angle D.

I hope this helped you!

Answer:

(0.5, 3)

Step-by-step explanation:

Just entered it into a desmos graphing calculator online

The ratio of cats to all animals is 5:14

the ratio of dogs to cats is 9:5

Given-

Cats = 5

Dogs = 9

Total animals = cats+ Dogs

     5+9=14

so  the ratio of cats to all animals  = 5: 14

and dogs to the cats= 9:5

Ratio give the relation between quantities of to identies.

Read more about the ratio: https://brainly.com/question/12024093

Answer:

288

Step-by-step explanation:

1 pound is equal to 16 ounces

if Itzel purchases 18 pounds, to convert to ounces simply multiply 18 by 16.

Answer:

288

I wish you luck in your assignments.

(I just noticed someone got here in before me and answered WAY better. So I edited this to tell you to give them brainliest.)

Answer:

dependent

Step-by-step explanation:

there is no replacement

Answer:

Dependent

Step-by-step explanation:

The cards aren't replaced, so it depends on which ones are taken.