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3 years ago

If BE= 2x-3 and AC=3X+1 FIND AC

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

6 0

In a rectangle, the diagonals are equal. You need to set the two equal to each other. The line BE would be doubled to equal AC. Then solve:
2(2x-3)=3x+1
4x-6=3x+1
x=7
Now that you have x, you can find AC. Just plug it in.
3(7)+1
21+1
22
There you have it! AC=22

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antiseptic1488 [7]

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24.6

5 0

3 years ago

Of the $2400 Mr Calvin earned, he spent 3/8 on food, 1/3 on taxes and 1/6 on other expenses. Find out how much all this is in do

sattari [20]

Answer: $300

Step-by-step explanation:

Mr. Calvin earned $\$2400$

He spent $\frac{3}{8}$ on food i.e.

$\Rightarrow \dfrac{3}{8}\times 2400=\$900$

$\dfrac{1}{3}\quad \text{on taxes i.e.}\\\\\Rightarrow \dfrac{1}{3}\times 2400=\$800$

$\dfrac{1}{6}\ \text{on other expenses i.e.}\\\\\Rightarrow \dfrac{1}{6}\times 2400=\$400$

Remaining money = $2400-900-800-400=\$300$

So, he saved $300 after expenses

7 0

3 years ago

This is due in 10 minutes please help me

valkas [14]

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

$x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150$

Multiplying both sides by 100, we get

$7x+16x+27x=15000$

$50x=15000$

Dividing both sides by 50, we get

$x=\dfrac{15000}{50}$

$x=300$

So, the amount invested at 7% is $300$ .

The amount invested at 8% is

$2(300)=600$

The amount invested at 9% is

$3(300)=900$

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

7 0

3 years ago

A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width

Anni [7]

[ Answer ]

$\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}$

[ Explanation ]

Area = 1420

Width = $45\frac{1}{2}$

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ $45\frac{1}{2}$

Convert mixed numbers to fractions:

1420 = $\frac{1420}{1}$

$45\frac{1}{2}$ = $\frac{91}{2}$

$\frac{1420}{1}$ ÷ $\frac{91}{2}$

Use mixed multiplication:

$\frac{1420*2}{1*91}$

= $\frac{2140}{91}$

Simplify:

= $31\frac{19}{91}$

$\boxed{[ \ Eclipsed \ ]}$

7 0

3 years ago

If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?

VMariaS [17]

Answer:

the value of x that gives the greatest difference is 10.

Step-by-step explanation:

Given;

x² and x³

values of x = 6, 8 and 10

When x = 6

6³ - 6² = 216 - 36 = 180

When x = 8

8³ - 8² = 512 - 64 = 448

When x = 10

10³ - 10² = 1000 - 100 = 900

Therefore, the value of x that gives the greatest difference is 10.

5 0

3 years ago