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kondaur [170]
3 years ago
14

Mrs Perry, shares out 35 biscuits between gemma and zak in the ratio of 1:6. How many biscuits does gemma and zak get?

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0
6+1=7
35/7=5
5*1=5
5*6=30

Gemma:5
Zak:30
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What are the square number factors of 56?​
balandron [24]

Answer:

2,4,7,8,14,and 28

7 0
2 years ago
Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

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

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

5 0
3 years ago
What's 221 rounded to the nearest 10
ycow [4]
It would be 220 rounded to the nearest ten because the number in the ones place does not equal or exceed 5. 

So 220 is your answer :)
4 0
3 years ago
Help asap please 40 points for help
GuDViN [60]

Answer:

a. connect the point (0 , 3) with A

b. connect the origin (0 , 0) with B

c. For A: y = 0.5x +3

For B: y = 0.5x

Step-by-step explanation:

y = ax + b is the general rule for any straight line

a being the slope and b being the y intercept, a is given to be 0.5

y = 0.5x + b, substitute the coordinates of point A

4 = 0.5 *2 +b hence b = 4 - 0.5 *2 = 4 - 1 = 3

so y = 0.5 x + 3 is the equation of the line passing through A

since the second line that passes through B is parallel to the first, hence it has the same slope of 0.5

same procedure, substitute coordinates of B

2 = 0.5 * 4 + b hence b = 2 - 0.5 *4 = 2 - 2= 0

so y = 0.5 x is the equation of the line passing through B

6 0
2 years ago
Suppose your car gets 28 miles per gallon of gasoline, and you are driving at 55 miles per hour. Using unit analysis, find the a
pentagon [3]
<h3>Answer:</h3>

1 27/28 ≈ 1.964 gallons/hour

<h3>Step-by-step explanation:</h3>

You want gallons in the numerator of your unit rate, but that unit is in the denominator of the mileage rate. So, the computation must involve division by 28 mpg. Hours is already in the denominator of 55 mph, so the computation will involve multiplication by that rate.

... (55 mi/h)/(28 mi/gal) = (55 mi/h)·(1 gal/(28 mi)) = 55/28 gal/h

... = 1 27/28 gal/h

7 0
3 years ago
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