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3 years ago

The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

1 answer:

7 0

$S-Sam's\ age\\H-Hank's\ age\\\\ \left\{\begin{array}{ccc}\frac{S}{H}=\frac{5}{3}\\S+H=24&\to S=24-H\end{array}\right\\\\substitute\ S=24-H\ to\ \frac{S}{H}=\frac{5}{3}\\\\\frac{24-H}{H}=\frac{5}{3}\\\\cross\ multiply\\\\5H=3(24-H)\\5H=72-3H\\5H+3H=72\\8H=72\ \ \ /:8\\H=9\\\\Answer:Hank\ is\ 9\ years\ old.$

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I uploaded the answer to $^{}$ a file hosting. Here's link:

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3 years ago

15 decreased by the product of a number x and 4 PLS HELP ME OMG

sergejj [24]

Answer:

4x - 15

Step-by-step explanation:

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2 years ago

You have conducted a survey on a number of households and found out how many pets they owned brainly

eduard

Answer:

Using tally marks

Step-by-step explanation:

Missing information;

Number of pets are;

3,0,1,4,4,1,2,0,2,2,0,2,0,1,3,1,2,1,1,3

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Ungroups frequency distribution table

Computation:

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3 years ago

Factorise fully the following: a) x² + 2x b) 2x² - 6x c) 15x - 10x³ d) 9x² + 3x³

Lostsunrise [7]

Answer:

a) $x(x+2)$

b) $2x(x-3)$

c) $5x(3-2x^2)$

d) $3x^2(3+x)$

Step-by-step explanation:

a) $x^2+2x$

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

$x(x+2)$

b) $2x^2-6x$

What are the common terms here?

It can be seen that each of these share a 2x, so our factored form would be

$2x(x-3)$

c) $15x-10x^3$

What about this one?

The common factor of this one is 5x, so our factored form would be

$5x(3-2x^2)$

d) $9x^2+3x^3$

The common factor of this one is $3x^2$ , so our factored form would be

$3x^2(3+x)$

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3 years ago

Which function has the largest y - intercept?

lesantik [10]

F(x) is a quadratic. The y intercept, therefore, is equal to the c value.
The y intercept here is -4.
For g(x), you can tell that the y intercept is 0 because that's the value of y when the x value is 0.
For h(x), the chart specifies that when x=0, y=-2, so the y intercept is -2.
Of these three values, 0 is the largest.
Final answer: g(x)

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2 years ago