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3 years ago

Denise is making bean bags. She has 6.4 pounds of beans.

Mathematics

1 answer:

dezoksy [38]3 years ago

5 0

Answer:

a) she be able to make 8 bags

b) she can make 16 bags.

Step-by-step explanation:

According to the exercise info Denise has 6.4 pounds of beans

Solving question a

⇒ if she makes each bean bag of 0.8 pounds and she has 6.4 pounds of beans, we can express this by using the three simply rule she needs to puts 6.4 pounds of beans in x quantity of bags of 0.8 pouns, so doing the division: 6. 4 pounds of beans / 0.8 pounds of beans per bag= 8 bags of 0.8 pounds of beans.

B- If she decides to make mini bean bags that are half as heave as the ohers bags, so now Denise is going to make bags of 0.8/2 = 0.4 pounds.

Doing the same procedure as question a, we can say that she has 6.4 pounds of beans and she needed to put these amount in a x quantity of 04 pounds bags. Doing the following division ⇒ 6.4 pounds of beans/ 0.4 pounds of beans per bag= 16 bags

In conclusion she is going to make 16 bags of 0.4 pounds of beans.

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The correct answer is:

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The lengths of the sides of KELY are:

$\text{KE}=\sqrt{(2-0)^2+(11-9)^2}=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\\\\\text{EL}=\sqrt{(0-2)^2+(9-3)^2}=\sqrt{(-2)^2+6^2}=\sqrt{40}=2\sqrt{10}\\\\\text{LY}=\sqrt{(2-4)^2+(3-9)^2}=\sqrt{(-2)^2+(-6)^2}=\sqrt{40}=2\sqrt{10}\\\\\text{YK}=\sqrt{(4-2)^2+(9-11)^2}=\sqrt{2^2+(-2)^2}=\sqrt{8}=2\sqrt{2}$

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2 years ago

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

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answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

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