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3 years ago

14

Katie uses a copy machine to enlarge her rectangular design that is 6in. wide and 8in. long. The new width is 10in.What is the n

ew length?

1 answer:

nadya68 [22]3 years ago

4 0

If it added 4in. to the width and the width was 6in. now 10in. then you should add 4in. to the length the answer must be 14in

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A standard deck of cards contains 52 cards. One card is selected from the deck.

Anastaziya [24]

Answer:

1) Probability of randomly selecting a diamond or club = $\frac{1}{2}$

2)Probability of randomly selecting a diamond or club or heart = $\frac{3}{4}$

3) P(selecting a five or club) = $\frac{4}{13}$

Step-by-step explanation:

Total cards in the deck = 52

Noe Let E : favorable Event

So, $P(E) = \frac{\textrm{Number of Favorable outcomes}}{\textrm{Total outcomes}}$

1 ) Probability of randomly selecting a diamond or club

Here the favorable event is picking a club or diamond

hence, favorable outcomes = Number of club and diamond

= 13 + 13 = 26

⇒P(selecting a diamond or club) = $\frac{26}{52} = \frac{1}{2}$

2) Probability of randomly selecting a diamond or club or heart

Here the favorable event is picking a diamond and club and heart.

hence, favorable outcomes = Number of clubs + diamond + heart

= 13 + 13 + 13 = 39

⇒P(selecting a diamond or club or heart) = $\frac{39}{52} = \frac{3}{4}$

3 )Probability of randomly selecting a five or club.

Here the favorable event is selecting a five or club.

hence, favorable outcomes = Number of 5 in a deck + Number of clubs

= 3 + 13 = 16

⇒P(selecting a five or club) = $\frac{16}{52} = \frac{4}{13}$

3 0

3 years ago

WILL MARK BRAINLIEST!!

Snowcat [4.5K]

15/10 = 18-x/x is the ratio of the larger to the smaller triangle

Cross multiply:
15x = 10(18 - x)
15x = 180 - 10x
25x = 180
x = 7.2

Plug back in to check
15/10 = 1.5

18-7.2/7.2 = 10.8/7.2 = 1.5 :)

6 0

3 years ago

IS THIS IN SIMPLIST FORM? PLEASE HELP! TY! <br><br> 2( x - 3 + 2 )

Phoenix [80]

Answer:

2x - 2

Step-by-step explanation:

There are two steps to take here. First add together the -3 + 2 in the brackets:

2(x - 3 + 2)

= 2(x - 1)

Now use the distributive property and multiply each term in the brackets by two:

2(x - 1)

= 2x - 2

And you now have it in simplest form.

3 0

2 years ago

Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative

nadya68 [22]

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

7 0

3 years ago

Solve using synthetic division.<br><br> (−2x^3 + 5x^2 − x + 2) ÷ (x + 2)

Kitty [74]

-2x^2 + 8x - 16 + 32/x+2

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3 years ago