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erma4kov [3.2K]
3 years ago
7

Joanna plans on hanging 3 pictures of different sizes on the wall of her staircase. She thinks it will look best if all 3 rectan

gular pictures are similar. The two sizes she has already are 25 in. by 35 in.and 35 in. by 49 in. Which of the following is a possible size of the third picture?
A.
5 in. by 6 in.
B.
30 in. by 42 in.
C.
45 in. by 70 in.
D.
50 in. by 63 in.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0
In similar figures, the ratio between corresponding sides are the same.

\frac{25}{35}=\frac{35}{49}

Simplify the two to see that they are equal.
The top and bottom of the left fraction are divisible by 5.
The top and bottom of the right fraction are divisible by 7.

\frac{5}7=\frac{5}7

Of course, the dimensions of that third picture would have to be this fraction.
Let's test these answers.

\frac{5}6\neq\frac{5}7 ⇒ A is not a solution

\frac{30}{42}=\frac{5}7 ⇒ B is the solution
(divide the top and bottom by 6)
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The amounts of household waste generated in a region during two years were 23,400,000 tons and 48,100,000 tons. What was the tot
trasher [3.6K]

The first step to do is to calculate first the total household waste generate for the two years. That is:

total waste generated = 23,400,000 tons + 48,100,000 tons

total waste generated = 71,500,000 tons

 

Now, to write either a very big number or a very small number in a form of scientific notation simply means to write it in a decimal form such as: 12.5 * 10^10

 

Now to write 71,500,000 in scientific notation, the decimal form is 7.15, however we still need to find out the * 10^n factor. The value of n depends on the number of places the decimal point was moved. If the movement was from right to left, the value of n is positive and if the movement was from right to left, the value of n is negative. Since the decimal point was moved by 7 places, hence the complete scientific notation is:

 

7.15 * 10^7 tons

8 0
2 years ago
26 ptss!! select the expressions that are equivalent to the expression below.
valkas [14]

Answer:

1st, 2nd, and last.

Step-by-step explanation:

For the first two common rules can be applied such as n\sqrt{a/b} = \frac{\sqrt[n]{a} }{\sqrt[n]{b} } and that \sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}

and for the last one this is just simplifying the radical and if you factor it you realize that, \frac{750}{512} = \frac{5^3}{8^3}*6 meaning that you can take the radical off of 5/8 and end up with that final answer

7 0
3 years ago
HELP ASAP: how do you write an american phone number in spanish format (grouping). example: 123-456-7890
koban [17]
Not sure wym but if u can't write the format just write the numbers out in spanish: uno dos tres cuatro cinco seis siete ocho nueve diez
3 0
3 years ago
a sporting goods store receives a shipment of 124 golf bags. The shipment includes two types of bags, full-sized and collapsible
Dominik [7]
The sporting goods store receives the shipment of 124 golf bags in total.
Let us assume that the number of full-sized bags = X
Then the number of collapsible golf bags = 124 - X
Cost of each full sized bags = $38.50
Cost of each collapsible bags = $22.50
Total cost of the 124 bags received by the sporting goods store = $3430
Then
(38.50)X + (124 - X)22.50 = 3430
(38.50X - 22.50X) + 2790 = 3430
16X = 3430 - 2790
16X = 640
X = 640/16
   = 40
So the number of full-sized golf bags received = 40
Then the number of collapsible golf bags received = 124 - 40
                                                                                 = 84
7 0
3 years ago
The graph of f(x) = x2 is shown. Compare the graph of f(x) with the graph of g(x) = (x - 2)^2
seraphim [82]
D. The graph of g(x) is 2 units to the right of the graph of f(x)
7 0
2 years ago
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