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alexandr1967 [171]

3 years ago

15

john and calvin use 6 lemons to make every quarts of lemonade, they want to make 12 quarts of lemonade, How many lemons do they

need ?

1 answer:

Zigmanuir [339]3 years ago

7 0

It takes 6 lemons to make a quart so 12(6)=72

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Which of the following expressions could represent the total amount withdrawn from Brandon’s checking account during the time pe

den301095 [7]

The Solution:

Given:

Each withdrawal by Brandon = $x

ATM charge per transaction = $2

Required:

To find an expression for Brandon's total withdrawal if he withdraws the same amount once a week for 7 weeks.

Step 1:

We shall find the total amount of each withdrawal, that is, the sum of the amount withdrawn and the ATM charge for the transaction.

$\text{ Each withdrawal=x+2=\$(x+2)}$

Step 2:

Finding the required total amount, we have:

$\text{ Total amount withdrawn=7(x+2)=\$7(x+2)}$ $\begin{gathered} 7(x+2) \\ or \\ 7x+14 \\ \text{ or} \\ 7\mleft(x\mright)+7\mleft(2\mright) \end{gathered}$

Therefore, the correct answers are: [options 2, 3, and 4]

6 0

1 year ago

Greg buys 2 puzzles from a garage sale. Each puzzle costs $4. Which graph

Tanya [424]

Answer:

bottom right

Step-by-step explanation:

for the side that says total cost u go up to 4 and for the one that says number of puzzles u go two over

7 0

3 years ago

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Alain th

Naya [18.7K]

For this case we have the following function:
$h (x) = - 5x ^ 2 + 10x + 15
$
By the time the stone is thrown, x = 0.
We must evaluate this value of x in the function.
We have then:
$h (0) = - 5 (0) ^ 2 + 10 (0) +15

h (0) = 0 + 0 + 15

h (0) = 15 meters$
Answer:
The height of the stone at the time is thrown is given by:
h (0) = 15 meters

4 0

3 years ago

Read 2 more answers

Find the length of BC

Ivan

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

6 0

3 years ago

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

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

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

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

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

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

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

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

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

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

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

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

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

3 years ago

Read 2 more answers