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-BARSIC- [3]
3 years ago
13

Figure A is a scale image of Figure B, as shown.

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Using the scale factor, we have ...

  x/8 = 0.25/1

  x = 8(0.25) . . . . multiply by 8

  x = 2

_____

<em>Additional comment</em>

I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...

  B/A = smaller part / larger part = x/8 = 0.25/1

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42. th gmtv rg eg eg gen h
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4 years ago
jeanine Baker makes floral arrangements. She has 13 different cut flowers and plans to use 7 of them. How many different selecti
Ksju [112]

A total of 1,716 selections of the 7 flowers are possible.

Step-by-step explanation:

Step 1:

There are 13 flowers from which Jeanine Baker plans to use 7 of them.

To determine the number of selections that are possible we use combinations.

The formula for combinations is; ^{n} C_{r}=\frac{n !}{(n-r) ! r !}.

Step 2:

In the given formula, n is the total number of options and r is the number of options to be selected.

For this question, n = 13 and r=7.

So ^{13} C_{7}=\frac{13 !}{(13-7) ! 7 !} = \frac{13 !}{(6) ! 7 !} = 1,716.

So a total of 1,716 selections are possible.

3 0
3 years ago
Gasoline costs $3.00 per gallon at a gas station. In the table below, enter the cost for each number of gallons purchased. Then,
Bess [88]

Answer:

I'm not 100 percent sure but but part a is

0              0

6              18

12             36

and then part b is letter A

Step-by-step explanation:

hope this helps

8 0
4 years ago
Read 2 more answers
A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red
mamaluj [8]

Let red marbles = X.

The probability is 1 out of 5, written as 1/5

1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.

1/5 = x/5x 

Now you have 5x total marbles, x red and 4x blue. 

Add 5 more red and the new probability is: 

(x+5)/(5x+5) = 1/3 

Simplify:

3x+15 = 5x+5 

Now solve for x:

Subtract 3x from both sides:

15 = 2x +5

Subtract 5 from each side:

2x = 10 

Divide both sides by 2:

x = 10/2

X = 5

There were originally 5 red marbles.

5 0
3 years ago
The equation of the line that is parallel<br> to 4x+2 and passing through (5,15)
Mila [183]

Answer:

y=4x-5.

Step-by-step explanation:

slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;

1) to find value of k:

if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;

2) to find the value of 'b':

if to substitute the given coordinates into the equation of the given line, then:

15=4*5+b, b= -5.

3) finally, y=4x-5

8 0
3 years ago
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