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Margaret [11]
3 years ago
10

To start, you have $63.75. You earn additional money babysitting. Then you purchase a new pair of shoes for $109.99. You now hav

e $83.76. left. How much money do you earn babysitting? Write and solve an equation to represent this situation.
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

Step-by-step explanation:

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Find the prime factorization of each number 891
cricket20 [7]

Answer:

The prime factorization of 891 is 9^2*11

Step-by-step explanation:

Divide 891 by 9, 9, and finally, 11. Or use a factorization calculator.

6 0
3 years ago
This trapezium is drawn on a centimetre grid.<br> Find the area of the trapezium.
aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

<u>From </u><u>the</u><u> </u><u>grid</u><u> </u><u>:</u><u>-</u>

\rm\implies Side_1 = 7 \ units

\rm\implies Side_2 = 3 \ units

\rm\implies \perp \ Distance =4  \ units

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times   \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm  Area = 20 \ unit^2}

3 0
3 years ago
Nine less than twice a number is 49.<br> What is the number?
ratelena [41]

Answer:

29

Step-by-step explanation:

Assume the number as x

2x - 9 = 49

2x = 58

x = 29

7 0
3 years ago
The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price
spayn [35]

<u><em>Answer:</em></u>

A box of 50 stickers would cost $13

<u><em>Explanation:</em></u>

<u>1- getting the equation representing the price:</u>

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

<u>We are given that:</u>

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

<u>i. getting the slope:</u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2

The equation now became: y = 0.2x + c

<u>ii. getting the y-intercept:</u>

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

<u>The final equation is:</u>

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

<u>2- getting the price of a box with 50 stickers:</u>

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

<u>This is done as follows:</u>

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

5 0
3 years ago
PLZ HELP DONT UNDERSTAND!!!
victus00 [196]
\bf \textit{area of a triangle}=A=\cfrac{1}{2}bh\qquad &#10;\begin{cases}&#10;b=base\\&#10;h=\textit{height or altitude}&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;\textit{area of a trapezoid}\\\\&#10;A=\cfrac{h}{2}(a+b)\qquad &#10;\begin{cases}&#10;a=\textit{base, or one of the parallel sides}\\&#10;b=\textit{base, or the other parallel side}\\&#10;h=\textit{height, the distance between both}\\&#10;\qquad \textit{parallel sides}&#10;\end{cases}
7 0
3 years ago
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