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2 years ago

12

A drawing of the state of Utah is 7 cm tall and 5.4 cm wide. If the scale used to create the drawing was 1 cm to 50 miles, how m

any miles tall is Utah?

1 answer:

Ksivusya [100]2 years ago

4 0

Answer:

5

Step-by-step explanation:

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Find the equation of the line

Butoxors [25]

Answer:

y= -1/3x + 5

Step-by-step explanation:

8 0

2 years ago

In a group of 28 students, 12 study both Art and Biology.

MAVERICK [17]

Answer:

100%

Step-by-step explanation:

Use conditional probability:

P(B | A) = P(B and A) / P(A)

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.

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2 years ago

Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

valentina_108 [34]

Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

7 0

2 years ago

3(6+4y)<br> hurry uppp pleaseeeee

Ahat [919]

Answer:

=12y+18

Step-by-step explanation:

=(3)(6+4y)

=(3)(6)+(3)(4y)

=18+12y

=12y+18

4 0

2 years ago

Paul spent $13 on writing utensils. Pens cost $3 each and pencils cost $1 each. If he bought a total of 7, how many of each did

dem82 [27]

The answer is 3 pens and 4 pencils. Hope this helps

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2 years ago

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