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marta [7]
4 years ago
8

Olivia is 4 feet 10 inches tall. She compared her height with her younger sister, Susan, and found that Susan is 15 inches short

er than she is.
What is Olivia's height, in inches?

______________

What is Susan's height, in centimeters?

1 inch=2.54 centimeters
Mathematics
1 answer:
Cerrena [4.2K]4 years ago
4 0
A foot (or feet) is 12 inches.This means Olivia is four lots of 12 inches tall plus another 10 inches.Four lots of 12 is 48(4x12=48).48+10=58.
However Susan is 15 inches shorter than Olivia so Susan is basically Olivia's height minus 15 inches. Olivia's height, as we know, is 58 inches.
58 inches minus 15 is 43, therefore Susan is 43 inches tall. This means Susan's height equals 43 lots of 1 inch. Because 1 inch equals 2.54 centimeters, Susan's height equals 43 lots of 2.54 centimeters. To work this out without a calculator you could get rid of the decimal place and do 43x254=10922. Then, because the number that had the decimal point in had 2 digits after it(2 numbers) you add the decimal place back in 2 places from the right of your answer. In this case, it gives you 109.22. Therefore:
~Olivia's height: 58 inches
~Susan's height: 109.22 centimeters

I hope that helps you and I understand that it's a really long answer but I wasn't sure which bit you couldn't understand. :)
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\frac{5}{11}  \times 144 \: is \: the \: amount \: of \: yellow \: flowers \\  \\  \frac{5}{11}  \times 144 = 65.45 = 65
therfore there is 65 yellow flowers
4 0
3 years ago
Determine the slope and y-intercept of the line: y=-4x
lapo4ka [179]
Equation y=-4x
m=-4. Slope is -4 y-intercept is 0

y-12=2(x-1)
y-12=2x-2
y=2x-2+12
y=2x+10
7 0
3 years ago
Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to
Mariana [72]

Answer:

The answer to your question is The cost to raise a child from birth to 17 years in a household is $194119.

Step-by-step explanation:

Equation

                      y = 1.55x + 110,419

Annual income = $54,000

To solve this problem just substitute the annual income and simplify to find the cost.

                    y = 1.55(54,000) + 110419

Simplify

                    y = 83700 + 110419

Result

                    y = $194119

3 0
3 years ago
Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Wh
iogann1982 [59]

Answer:

(4 , 3 ) and (-3 , -4)

Step-by-step explanation:

Other two vertices will be in 1st quadrant and 3 rd quadrant

6 0
3 years ago
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