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3 years ago

HELP THIS IS DUE SOON! PLEASE PROVIDE THE ANSWER ALONG WITH HOW YOU GOT THE ANSWER.

Mathematics

1 answer:

leonid [27]3 years ago

7 0

Answer:

Torrance spends 16$ on his brother

Step-by-step explanation:

You have 100$

So, we have

x (brother) + x (sister) + x (mother) = 100

But, since 10$ less will be spent on the sister than the brother, it becomes (x - 10) and twice + 6$ is spent on the mom, it also becomes (2x + 6)

Our equation then becomes

(x - 10) + x + (2x + 6) = 100

X will end up equaling 26. This is how much is spent on the sister.

(x - 10) will be substituted for (26 - 10), which equals 16.

I'm not sure if this is right so you might want to check with somebody (since I may be wrong) I hope this helps you understand how to basically do it though. <3

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A line contains (9,y) and (-6,3). It has slope 2/3, find y

koban [17]

The line contains (9,y) and (-6,3) Then y is 13

Solution:

Given that a line contains (9, y) and (-6, 3)

Slope of line is $\frac{2}{3}$

To find: y

The slope of line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here }\left(x_{1}, y_{1}\right)=(9, y) \text { and }\left(x_{2}, y_{2}\right)=(-6,3)$

Substituting the values in formula,

$m=\frac{3-y}{-6-9}$

Substitute $m = \frac{2}{3}$

$\frac{2}{3}=\frac{3-y}{-6-9}$

2(-6 - 9) = 3(3 - y)

Multiplying the terms with terms inside bracket

-12 - 18 = 9 - 3y

Move the variable to one side

-30 = 9 - 3y

On solving we get,

3y = 30 + 9

3y = 39

Divide both sides by 3, we get

y = 13

Thus y = 13

6 0

4 years ago

Find the LCm for the pair of natural numbers 112,96

n200080 [17]

Answer:

672.

Step-by-step explanation:

First find the prime factors:

112 = 2*2*2*2*7

96 = 2*2*2*2*2*3

There are 4 pairs of duplicate 2 's in the factors, so the LCM = 2*2*2*2*2*3*7

= 672 (answer).

Note: the duplicates only appear once in the calculation of the LCM.

5 0

3 years ago

A runner is 5/6 mile from the finish line. If he can travel 3/6 mile per minute, how long will it take them to finish the race?

lianna [129]

Answer:

5/3min

Step-by-step explanation:

Yo only have to divide 5/6 miles by 3/6 mile/min to know the time it will take to cover a distance given a velocity.

5*6=30

6*3=18

30/18 = 5/3min!!

5 0

3 years ago

A circle in the xy-plane is centered at (3, 0) and has a radius with endpoint (1, 8/3 ). Which answer choice is an equation of t

gayaneshka [121]

Answer: (x - 3)² + y² = $\frac{100}{9}$

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r² ; (h, k) is the center & r is the radius

Use the distance formula for (3, 0) and (1, $\frac{8}{3}$ )

$r = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

$r = \sqrt{(3-1)^{2}+(0-\frac{8}{3})^{2}}$

$r = \sqrt{(2)^{2}+(-\frac{8}{3})^{2}}$

$r = \sqrt{4+\frac{64}{9}}$

$r = \sqrt{\frac{36}{9}+\frac{64}{9}}$

$r = \sqrt{\frac{100}{9}}$

$r = \frac{10}{3}$

****************************************************

Center (h, k) = (3, 0) Radius (r) = $\frac{10}{3}$

(x - h)² + (y - k)² = r²

(x - 3)² + (y - 0)² = ( $\frac{10}{3}$ )²

(x - 3)² + y² = $\frac{100}{9}$

6 0

4 years ago

Find the values of x and y (no links or report don’t answer if u don’t know )

AleksAgata [21]

The x-axis is usually the horizontal axis, while the y-axis is the vertical axis. They are represented by two number lines that intersect perpendicularly at the origin, located at (0, 0), as shown in the figure below.

5 0

3 years ago