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3 years ago

It took Fred 17 days to save $36.55. At that rate, how long would it take him to save $70.95?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

4 0

Answer:

Fred would take 33 days to save $ 70.95.

Step-by-step explanation:

The number of days ( $t$ ) is directly proportional to the quantity of money saved ( $c$ ), in monetary units, then we can calculate the time taken to save $ 70.95 by simple rule of three:

$t = 17\,d\,\times \frac{\$\,70.95}{\$\,36.55}$

$t = 33\,d$

Fred would take 33 days to save $ 70.95.

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What is x equal to ?

Archy [21]

Use the Midpoint Theorem to solve for x.

The theorem states that the line between the midpoints of a triangle is half the length of the side it's opposite to.

Line BF is opposite to Line CE. Line CE has a length of 88. Therefore, we can set up the following equation:

$2x = 88 / 2$
$2x = 44$

Divide both sides by 2 to get x by itself:

$x = 22$

The value of x is 22.

3 0

4 years ago

The product of 4 and Goran's score is 60

alexandr1967 [171]

The variable use to represent Goran's score is 4g = 60

<h3>How to use a variable to represent a score?</h3>

The product of 4 and Goran's score is 60.

Now let's use the variable g to represent the score of Goran.

A variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity.

In simpler term a variable is a letter use to represent a number in an expression or equation.

Therefore, the expression can be represented as follows;

let

g = score

Hence,

4 × g = 60

4g = 60

divide both sides by 4

4g / 4 = 60 / 4

g = 15

learn more on variables here: brainly.com/question/13575110

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2 years ago

The quantities x and y are oropottional find the contast of proportional of(r) y=rx

ASHA 777 [7]

Answer:

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3 years ago

Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .

Let's make some substitutions from above:

$s^2+(7+s)^2=(1+2s)^2$

Let's expand the powers using:

$(a+b)^2=a^2+2ab+b^2$

Applying this now:

$s^2+(49+2(7)s+s^2)=(1+2(1)(2s)+(2s)^2)$

$s^2+49+14s+s^2=1+4s+4s^2$

Combine like terms on right hand side:

$2s^2+49+14s=1+4s+4s^2$

Subtract everything on left hand side to get 0 on that side:

$0=(1-49)+(4s-14s)+(4s^2-2s^2)$

Simplify:

$0=(-48)+(-10s)+(2s^2)$

Reorder into standard form for a quadratic:

$0=2s^2-10s-48$

Every term is even and therefore divisible by 2. I will divide both sides by 2:

$0=s^2-5s-24$

I'm going to see if this is factoroable.

We need to see if we can come up with two numbers that multiply -24 and add up to be -5.

Those numbers are -8 and 3.

So the factored form is:

$0=(s-8)(s+3)$

This implies that either $s-8=0$ os $s+3=0$ .

The first equation can be solved by adding 8 on both sides: $s=8$ .

The second equation can be solved by subtracting 3 on both sides: $s=-3$ .

The only solution that makes sense for $s$ is 8 since it can't the shorter length cannot be a negative number.

$s=8$

$L=7+s=7+8=15$

$h=1+2s=1+2(8)=1+16=17$

So the dimensions of the right triangle are:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

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4 years ago

What is the domain and range and function ??? Then can u explain how u did it please and thank you

enot [183]

The domain is
$- 10 \leqslant x \leqslant 10$
and the range is
$- 5 \leqslant y \leqslant 5$
Domain is x values (horizontal axis), while range is y values (vertical axis). On a line like this one, domain is calculated from the left most point to the right most, while range is calculated from the down most to the upmost.
Because this line is a solid line rather than a dotted line, less than or equal to
$\leqslant$
signs are used rather than just
$<$
less than signs.

6 0

3 years ago