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Hatshy [7]
2 years ago
15

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

ers at school?
Mathematics
2 answers:
marin [14]2 years ago
6 0

Answer:

SEE EXPLANATION

Step-by-step explanation:

Add all amount of teachers together

14+26 = 40

14:40

Simplified: 7/20 or 7:20

Ratios are just like fractions and can usually be put in this format

cricket20 [7]2 years ago
4 0

Answer:

7:20

Step-by-step explanation:

14+26=40

40 equals the total amount of teachers. Since we want to do the ratio of math teachers to the total of all teachers, we had to find 40.

You get 14:20 though if you want to simplify, find to common denominator (2) and dived both sides by it.

14/2 = 7

40/2 = 20

= 7:20

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4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
What is the opposite of the three rational numbers.<br> |-13| =<br> |14| =<br> - |42| =
babunello [35]

Answer:

|-13| = 13, so the opposite is -13

|14| = 14, the opposite is -14

-|42| = -42, the opposite is 42

7 0
3 years ago
a bottle of cola has 39 grams of sugar. a bottle of diet cola contains no sugar. if you drink two bottles of regular cola and on
Natalka [10]
39 * 2 = 78 graaaaaaamssss
                            
8 0
2 years ago
A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe
Vladimir79 [104]

Answer:

435.73 revolutions per minute

Step-by-step explanation:

Find the circumferance of the wheel.

27 times π which is 84.823 inches

divide that by 12 to get it into feet, 7.061 feet

Divide by 5280 to get that to miles, 0.001 miles

Divide 35 by 60 to get how many miles per minute the car travels, 0.583

Divide your miles per minute by the diameter of wheel

Your answer will be 435.73 Revolutions per Minute

6 0
3 years ago
Solve for x.
Doss [256]

Answer:

x= 16

Step-by-step explanation:

First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)

7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.

Now, you have to get the x on one side to solve for x (so like x=__).

To do this, look at the equation as of now. 7x+14=6x+30.

We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.

Now we have  16=x (or x=16).

5 0
2 years ago
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