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MaRussiya [10]
3 years ago
14

The ratio of Holly's age to that her aunt is 4:9. When holly was born her aunt was 15 years old. How old is holly's aunt now?

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

27 years

Step-by-step explanation:

Let Holly's age be h and Aunt's age be a. We can setup 2 equations and solve.

1. \frac{h}{a}=\frac{4}{9}

2. a - 15 = h

We can plug in equation 2 into equation 1 to solve for aunt's age:

\frac{h}{a}=\frac{4}{9}\\\frac{a-15}{a}=\frac{4}{9}\\9(a-15)=4a\\9a-135=4a\\5a=135\\a=\frac{135}{5}=27

Holly's aunt's age is 27

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Find the solution set for the given inequality. -7x + 3 > 45 A) Show your work to solve this inequality (B) Graph the solutio
scoundrel [369]

Answer:

See explanation

Step-by-step explanation:

Given the inequality -7x+3>45

A) Add -3 to both sides of inequality:

-7x+3-3>45-3\\ \\-7x>42

Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):

x

B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).

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3 years ago
Suppose that 30% of students prefer to write with a mechanical pencil. suppose we sample students, one at a time, and stop as so
tia_tia [17]
Probability that first student  prefers mechanical pen = 0.30
 P(first student does not and second student does) = 0.70 * 0.3 =  0.21)

P( selecting 2 or fweer) = 0.30+ 0.21) = 0.51  or 51%
6 0
3 years ago
What’s 3x+6y=12 in the form y=mx+b
zhenek [66]
Hey there!

3x+6y=12

Divide both sides by 3 and your equation would now look like:
x+2y= 4
Move the x to the other side
2y= -x+4
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4 0
3 years ago
Read 2 more answers
1. Suppose a and b are real numbers where a > 0 and b < 0.
Nat2105 [25]

a) –a + b is negative

b) a – b is positive

c) b-a is negative

Step-by-step explanation:

1. Suppose a and b are real numbers where a > 0 and b < 0.

a. Is –a + b positive or negative. Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

–a + b

= -(6)+(-5) = -6-5 = -11

So, –a + b is negative

b. Is a – b positive or negative? Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

a - b

=6-(-5) = 6+5 = 11

So, a – b is positive

c. Is b – a positive or negative. Explain how you know

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

b-a

=(-5)-(6)

= -5-6

= -11

So, b-a is negative

Keywords: Solving Integers:

Learn more about solving integers at:

  • brainly.com/question/5496711
  • brainly.com/question/11549940
  • brainly.com/question/11334714

#learnwithBrainly

3 0
3 years ago
P(-3,-5) and Q(1, -3) represent points in a coordinate<br> plane. Find the midpoint of PQ.
Karolina [17]

Step by step explanation :

The two points are ,

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  • Q (1 , -3)

We can find the midpoint by finding the median of x coordinate and y coordinate .

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3 years ago
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