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dlinn [17]
4 years ago
15

The school is ordering 2,000 cupcakes to celebrate reading.the school can Oder the cupcakes in the sets of 10.how many sets of 1

0 can be ordered? A.20. B.2. C.2,000 d.200
Mathematics
1 answer:
aleksklad [387]4 years ago
3 0

Answer:

200 sets of 10 can be ordered to complete the order of 2,000 cakes.

Step-by-step explanation:

Total  numbers of cupcakes to be ordered = 2,000

The number of cupcakes in 1 set = 10

So, \textrm{Total sets to be ordered} =  \frac{\textrm{Total Cupcakes to be ordered}}{\textrm{Cupcakes in 1 set}}

= \frac{2,000}{10}   = 200

or, Number of cupcake sets  = 200

Hence, 200 sets of 10 can be ordered.

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What is the length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm?
Paul [167]

The length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm is 25 cm

<u>Solution:</u>

Given a right angled triangle,

The sides measure 7 cm and 24 cm

We have to find the length of hypotenuse

For a right angled triangle, by Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

From above definition we get,

c^2 = a^2 + b^2

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

"b" is the length of other side of triangle

Here, a = 7 and b = 24 and c = ?

c^2 = 7^2 + 24^2\\\\c^2 = 49 + 576 = 625

Taking square root on both sides,

c = \sqrt{625}\\\\c = 25

Hence the length of hypotenuse is 25 cm

7 0
3 years ago
Write an equation in point-slope form for each line.<br> (If possible please show work)
Free_Kalibri [48]

Answer:

so

slope is calculated this way:

\frac{3 - 6}{2 - 1}  =  \frac{ - 3}{1}  =  - 3

let's calculate y init by:

3 = -3×2 + b

b = 9

so equation is:

y=-3x+9

6 0
3 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 is the midway of XY?
Lostsunrise [7]

The midpoint of XY is -0.5

7 0
3 years ago
Please help me with this problem!!! No Links!
DerKrebs [107]
The answer is 17! Hope it helps :)
4 0
3 years ago
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