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3 years ago

Help stuck on methods question

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

Answer:

x=3

Explanation:

Let's write an equation for the area of this figure.

This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.

Area of rectangle= length× breadth

Area of vertical rectangle= 6x

Length of horizontal rectangle= (7 -x) cm

Area of horizontal rectangle= x(7-x)

Since total area= 30 cm^2,

6x+ x(7-x)= 30

6x +7x -x^2= 30 (expand)

-x^2 +13x-30= 0 (bring all terms to one side)

x^2 -13x +30= 0 (divide by -1)

(x -10)(x -3)= 0 (factorise)

x -10= 0 or x -3= 0

x= 10 or x= 3

(reject)

We reject x=10 since from the diagram, x cm is less than 6cm.

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Lina20 [59]

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4 0

3 years ago

Here's the result of this question

Dafna11 [192]

We have been given that Anil borrows $80 000 to buy a business. The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 2% into decimal.

$2\%=\frac{2}{100}=0.02$

We have $P=\$80,000$ and $t=10$ , so we will get:

$A=\$80000\left(1+0.02\cdot 10\right)$

$A=\$80000(1+0.2)$

$A=\$80000(1.2)$

$A=\$96,000$

Therefore, Anil will pay $\$96,000$ to the bank after 10 years.

8 0

3 years ago

Cameron bought a used car for $4,500. He made a down payment of $1,200 and agreed to pay the remaining balance in monthly paymen

svet-max [94.6K]

Answer:

$4500 = 1200 + 300m$

Step-by-step explanation:

Given

$Total = 4500$

$Base\ Amount = 1200$

$Payment = 300$ monthly

Required

Write an expression to determine the number of months

The total can be expressed using:

$Total = Base\ Amount +Payment * Number\ of\ months$

Substitute value for each term

$4500 = 1200 + 300 * m$

$4500 = 1200 + 300m$

Hence:

Option F answers the question

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3 years ago

Which are sums of perfect cubes? Check all that apply.

vichka [17]

I think these are the sums of perfect cubes.

A = (2x²)³ + (3)³
B = (x³)³ + (1)³
D = (x²)³ + (x)³
E = (3x³)³ + (x^4)³

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3 years ago

Choose the ratio you would use to convert 88 pounds to ounces remember that there are 16 ounces in 1 pound

natima [27]

Your answer would be B. 16 ounces/1 pound

5 0

3 years ago

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Help stuck on methods question ​

Help stuck on methods question