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tatiyna
3 years ago
8

The ratio of children to teachers at preschool is 14:5. How many children are at the preschool if there are 30 teachers

Mathematics
2 answers:
elena55 [62]3 years ago
6 0

If the ratio is 14 childen to every 5 teachers, and there are thirty teachers... there are 84 children. hope I could help!

IRINA_888 [86]3 years ago
5 0

There are 30 teachers

The ratio of children to teachers is 14:5

Since 30 / 5 = 6 and 6 * 5 = 30

Multiply 6 by 14

<em><u>You get 84</u></em>

Hope this helps

-GoldenWolfX✔


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Two numbers are said to be 'relatively prime' if their greatest common factor is 1. How many integers greater than 10 and less t
mars1129 [50]

Answer:

d. 9 integers

Step-by-step explanation:

Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.

We are to find relatively prime with 28 which are greater than 10 and less than 30

We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30

To be relatively prime with 28, common factors should be only 1.

28 = 2x2x 7.  Hence the numbers which do not have factors as 2 or 7 will be relatively prime.  Remove all the even numbers from the list.

We have 11,13,15....29.

Of these 21 is the multiple of 7 so remove that.

Thus we have now 11,13,15,17,19,23,25,27,29

9 integers

d. 9 integers

3 0
3 years ago
There are two bottles of tomato ketchup, one weighs 720 g and costs £1.79, while the other weighs 460 g and costs £1.00. Which b
maksim [4K]
To\ find\ better\ value\ for\ money\ you\ can\ find\ price\ of\ 100g:\\\\720:100=72\\460:100=46\\\\1.79:72=0.025\\1.00:46=0.022\\\\460g\ ketchup\ is\ more\ profitable.
8 0
3 years ago
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Represent Real-world Problems If one store is selling of a bushel of apples for $9, and another store is selling of a bushel of
Firlakuza [10]
Better deal normlly means the rate that cost less
rate=cost/amount

9=cost and 3/4 bushel = amount for one store
3/4=0.75
9/0.75=12/1 aka $12/1bushel

9 =cost and 2/3 bushel =amount for another
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compare
12 dollars per bushe vs 13.5 dollar per bushel
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3 years ago
4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation
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Answer:

Function f(x) is shifted 1 unit left and 1 unit up.

f(x)\rightarrow f(x+1)+1

Transformed function f(x+1)+1=\log(x+1)+1

Step-by-step explanation:

Given:

Red graph (Parent function):

f(x)=\log(x)

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying the rules to f(x)

The transformation statement is thus given by:

f(x)\rightarrow f(x+1)+1

As function f(x) is shifted 1 unit left and 1 unit up.

Transformed function is given by:

f(x+1)+1=\log(x+1)+1

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3 years ago
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
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Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

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