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Pie
3 years ago
5

A teacher bought 12 sheets of stickers to use on the homework of her students. Each sheet had 48 stickers. At the end of the yea

r, the teacher had 123 stickers remaining. Which is the best estimate for the number of stickers the teacher used?
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

453

Step-by-step explanation:

Find out how many stickers she started with multiply 12 sheets by 48 (the number of stickers per sheet)

12*48 = 576

Subtract the remaining stickers (123) at the end of the year.

576-123 = 453

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For each store, what is the ratio of the number of cans to the price.
stiks02 [169]
<span>Find the ratio of the number of cans in a store:
=> Shop smart = 24 packs (2 for $9)
=> super saver = 12 packs (4 for $10)
=> Price Buster = 12 packs (3 for $ 9)

Let’s start with the first, the shop smart
=> 2/24 = 9/x
=> 4.5 x 2 = 9, thus 4.5 x 24
= 108
=> 2:24 = 9/108

Second, Super Saver
=> 4/12 = 10/x
=> 4 x 2.5 = 10, thus 2.5 x 12
=> 30
=> 4:12 = 10:30

Third, Price Buster
=> 3/12 = 9/x
=> 3 x 3 = 9, thus 3 x 12
=> 36
=> 3:12 = 9:36

</span>



7 0
3 years ago
Read 2 more answers
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center
yaroslaw [1]

Answer:

(25,19)

Step-by-step explanation:

We are to find the location of the train station.

Using the formula for calculating midpoint given as:

M(X,Y) = [(x1+x2)/2, (y1+y2)/2]

X = x1+x2/2

Y = y1+y2/2

Given

M(X,Y) = (11,11)

Bus station (x1, y1) = (-3,3)

Substituting the given parameters into the formula.

11 = -3+x2/2

Cross multiply

11×2 = -3+x2

22 = -3+x2

x2 = 22+3

x2 = 25

Similarly

Y = y1+y2/2

11 = 3+y2/2

Cross multiply

11×2 = 3+y2

22 = 3+y2

y2 = 22-3

y2 = 19

Hence the location of the train station is at (25,19)

8 0
3 years ago
Please i need to pass this test !
Anna11 [10]

Answer:

https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C4%265%266%5C%5C7%268%269%5Cend%7Barray%7D%5Cright%5D%20

Step-by-step explanation:

so you have to write it all the way and then divide with the denominator then shift the numerator on the other side of the numerator

5 0
3 years ago
If a student applied force 36N on a bench and it displaced by 4 m how much work did that student do
MAVERICK [17]
<h3>Answer:  144 Joules </h3>

Steps Shown:

Work = Force * Displacement

Work = (36 Newtons)*(4 meters)

Work = (36*4) Newton meters

Work = 144 Newton meters

Work = 144 Joules

Note: The displacement must point in the same direction as the force applied.

8 0
2 years ago
Read 2 more answers
In a triangle ABC, if &lt;B = 60° and the ratio of two sides is a: c= 2: square root 3+1, then &lt;A=
slavikrds [6]

Your answer is 75°.

To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:

b² = a² + c² - 2×a×c×cos(B)

b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)

b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5

b² = 8 - 2 = 6

b = √6

Then you use this length in the sine rule, and find the angle:

\frac{sin(A)}{\sqrt{3}+1 } =\frac{sin(60)}{\sqrt{6} }

sin(A) = (√6 + √2)/4

A = 75

I hope this helps! Let me know if you have any questions

7 0
3 years ago
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