Let a =[2,4,6] b=[3,7,10,13] and c= [3,4,6,7,10,13] Which of the following is true

After a storm damages the community center, Shanika and her friends hold fundraising

Inessa [10]

Answer:

The total amount of money Shanika and her friends want to raise is $2400.

Step-by-step explanation:

Given:

After a storm damages the community center, Shanika and her friends hold fundraising.

After the first event, they raise $240, which is 10% of the total amount that they want to raise.

Now, to find the total amount of money that Shanika and her friends want to raise.

Let the total amount of money that Shanika and her friends want to raise be $x$ .

As given 10% of fundraise is $240.

So, according to question:

$10\%\ of\ x=\$240.$

$\frac{10}{100}\times x=240$

$\frac{10x}{100}=240.$

Multiplying both sides by 100 we get:

$10x=24000.$

Dividing both sides by 10 we get:

$x=\$2400.$

Therefore, the total amount of money Shanika and her friends want to raise is $2400.

3 0

2 years ago

Find the equation of quadratic function determined from the graph below?

Aleksandr [31]

Step-by-step explanation:

The x-intercepts are x = -1 and x = 5, so:

y = k (x + 1) (x − 5)

The vertex is (2, -3), so:

-3 = k (2 + 1) (2 − 5)

-3 = -9k

k = 1/3

y = 1/3 (x + 1) (x − 5)

Simplifying:

y = 1/3 (x² − 4x − 5)

y = 1/3 x² − 4/3 x − 5/3

3 0

3 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

$FG=RO=L\\RF=OG=W$

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 FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

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

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

2 years ago

Solve for x. −8x+14≥60 OR −4x+50<58

Reika [66]

Answer: The solution is,

$x\leq -\frac{23}{4}$ or $x>-2$

Step-by-step explanation:

Given compound inequality,

-8x + 14 ≥ 60 or -4x + 50 < 58,

By the subtraction property of inequality,

-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50 < 58 -50,

-8x ≥ 46 or -4x < 8

By the division property of inequality,

$-x \geq \frac{46}{8}$ or $-x < \frac{8}{4}$

Using property a > b ⇒ - a < -b,

$x\leq -\frac{23}{4}$ or $x>-2$

6 0

3 years ago

Solve for a and x in ax^2=48

Gelneren [198K]

Answer:

$ax^2 = 48\\a = \frac{48}{x^2}$

$ax^2 = 48\\x^2 = \frac{48}{a} \\x = \frac{\sqrt{48} }{\sqrt{a} } \\x = \frac{4\sqrt{3} }{\sqrt{a}} \\x = \frac{4\sqrt{3a} }{a}$

6 0

2 years ago