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3 years ago

5

Keira bought 7 containers of gems. Each container has 24 blue gems and 32 yellow gems. Which expression shows how many more yell

ow gems than blue gems are in the containers?

1 answer:

Gnom [1K]3 years ago

5 0

7x+32g-24? Don't count me on that answer.

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Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit

natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

p is half the perimeter

p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

$d=\sqrt{(-2-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$dBC=\sqrt{18}\ units$

step 4

$a=AB=4\ units$

$b=BC=\sqrt{10}\ units$

$c=AC=\sqrt{18}\ units$

Find the half perimeter p

p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

Find the area

$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

$A=6\ units^{2}$

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3 years ago

The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which ine

Ivenika [448]

For this case, the first thing you should do is define a variable.
We have then:
x: number of passengers remaining who can board the plane.
We have as data:
1) They can board up to 149 passengers
2) There are 96 passengers currently aboard.
Writing inequality we have:
$x + 96 \leq 149
$
Answer:
An inequality that can be used to determine how many more people can board is:
$x + 96 \leq 149$

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4 years ago

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Will's Pizza can make 12 pizzas in 45 minutes. How many pizzas can they make in 4 hours?

irina1246 [14]

Answer:

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Step-by-step explanation:

4 hours is 240 minutes

12 x (240 / 45) = 64

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The 7% sales tax on a new $32,000 car.<br>

Rama09 [41]

Answer:

$34,240

Step-by-step explanation:

7% of $32,000 is $2,240

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