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2 years ago

What is the difference between the largest prime number less than 5o and the smallest comoosite number greater than 10

Mathematics

1 answer:

erastova [34]2 years ago

8 0

<h3>Answer: 35</h3>

A prime number is one where the only factors are one and itself. A composite number has other factors.

You'll have to look at the list of numbers from 1 to 50

In that list, 47 is the largest prime less than 50, and 12 is the smallest composite number greater than 10.

So 47-12 = 35

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What is an equation of the line that passes through the points (6, -3) and<br> (-6, -5)?

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Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (-6,-5) and going to (6,-3):

Rise = (-3 - (-5)) = +2

Run = (6 - (-6)) = 12

Rise/Run (slope) = 2/12 or 1/6

The equation becomes y = (1/6)x + b

We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):

y = (1/6)x + b

-3 = (1/6)*(6) + b

-3 = 1 + b [Now you can see why I chose (6,-3)]

b = -4

The equation is y = (1/6)x - 4

Check this with a DESMOS graph (attached).

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2 years ago

A salad at the Millburn deli costs $4.95 plus $0.75 for each additional topping. You paid $9.45. How many toppings did you put o

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Answer:

<h3>Required <u>Answer</u><u>:</u><u>-</u></h3>

$\sf 4x+8y=10\dots\dots (1)$

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by adding eq (1) and eq (2) we get

${:}\longrightarrow$ $\sf 4x+8y=20$

${:}\longrightarrow$ $\sf -4x+2y=-30$

${:}\longrightarrow$ $\sf 10y=-10$

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${:}\longrightarrow$ ${\underline{\boxed{\bf y=-1}}}$

Substitute the value in eq (2)

${:}\longrightarrow$ $\sf -4x+2 (-1)=-30$

${:}\longrightarrow$ $\sf -4x-2=-30$

${:}\longrightarrow$ $\sf -4x=-30+2$

${:}\longrightarrow$ $\sf -4x=-28$

${:}\longrightarrow$ $\sf x={\dfrac {-28}{-4}}$

${:}\longrightarrow$ ${\underline{\boxed{\bf x=7}}}$

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Answer:

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