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3 years ago

6

Jonah is going to the store to buy candles. Small candles cost $3.50 and large candles cost$5.00. He needs to buy at least 20 ca

ndles, and he can spend no more than $80.

1 answer:

mezya [45]3 years ago

3 0

He can buy 21 candels

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What is an Irrational Number?<br> Your answer<br> I

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An irrational number is a number that has no pattern and has no end. For example 3 divided by 7 is an irrational number because of the lack of pattern and never-ending decimal.

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What is equivalent too 48j +36

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I will use fancy gold and red wrapping paper for two packages i have to wrap. I will use 1 2/4 yard of paper for one of the boxe

Allisa [31]

Well you need first 1 2/4 of a yard. Then you will need 5/6 of a yard. But first you need to put them together. So we need to find the common denominator. Six and four both share which multiple? Twelve. So let's rewrite that. You need 1 6/12 yards + 10/12 yards of wrapping paper. But before we do anything else we need to fix the mixed number. 1 6/12 isn't as easy to add ad 18/12 is. So 18/12 + 10/12 = 28/12
That can simplify as well. Now it's 14/6 which is equivalent to the fraction we had before. But it can also go down to 2 2/6. Now we can simplify it even further. By dividing it by two we can get 2 1/3. These are the measurements we need. So you would need how many thirds? Seven. (2 1/3 is seven thirds) This is your final answer.

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3 years ago

Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.

Tems11 [23]

Answer: (a) y = -3x + 10

$\bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}$

<u>Step-by-step explanation:</u>

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

$m=\dfrac{1-0}{3-0} = \dfrac{1}{3}$

Step 2: Find the slope of CD (opposite and reciprocal of OB)

$m = \dfrac{1}{3}\qquad m_\perp=-\bigg(\dfrac{3}{1}\bigg) = -3$

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9 <em>distributed -3 into (x - 3)</em>

y = -3x + 10 <em>added 1 to both sides</em>

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

The x-intercept of DQ is the same x-intercept as CD. The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x subtracted 10 from both sides

$\dfrac{10}{3}=x$ <em>divided both sides by -3</em>

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3 years ago