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3 years ago

The length of a rectangle is 10m more than twice the width. The

Mathematics

1 answer:

ipn [44]3 years ago

3 0

Answer:

5.6, 21.3

Step-by-step explanation:

Let x be the width.

We know that the length is 10+2x. The area of a rectangle is length times width, so substitute the values.

x*(10+2x)=120

10x+2x^2=120

Divide both sides by 2.

x^2+5x=60

Add 25/4 to both sides so we can make a square.

x^2+5x+ 25/4= 60+25/4=265 /4

Factor the left side.

(x+ 5 /2 )^2= 265 /4

x+2.5=(positive or negative) sqrt(265/4)

x=(positive or negative) sqrt(265/4)-2.5

But, we know that if the equation is negative, the width of the rectangle would be negative. Therefore, x=positive sqrt(265/4)-2.5

Then, we will find the sides.

sqrt66.25-2.5=5.63941, or about 5.6

10+(2(sqrt66.25-2.5))= 21.278821, or about 21.3

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Rita, Abdul, and Deon have a total of $ 128 in their wallets. Abdul has $8 less than Rita. Deon has 3 times what Abdul has

Charra [1.4K]

Answer:

They have all together 1,208$

Step-by-step explanation:

Do subtraction first, 128- 8= 120 so Abdul as 120$

Deon is multiplication, 8x120=960$

Rita has 128$

3 0

3 years ago

For each equation how many solutions why? Question e

Kay [80]

Answer:

one real solution

Step-by-step explanation:

it has only one solution since it is a linear graph and only intercepts the x axis once

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3 years ago

The sum of a number times 8 and 21 is less than -16.

vodka [1.7K]

Hello.

First of all, let the number be t.

8 times t can be written like this:

$\mathrm{8t}$

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

$\mathrm{8t+21 < -16}$

Therefore, the answer is

$\mathrm{8t+21 < -16}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

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2 years ago

Use the function below to find f(4). f(x)= 1/3•4^x

kenny6666 [7]

Answer:

f(4) = 85 1/3 or 85.333...

Step-by-step explanation:

To find f(4), you must substitute 4 in place of x whenever x appears:

f(x) = $\frac{1}{3}$ * $4^{x}$

f(4) = $\frac{1}{3}$ * $4^{4}$

Next, simplify the exponent:

f(4) = $\frac{1}{3}$ * 256

Finally, multiply:

f(4) = 85 1/3 or 85.333...

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3 years ago

Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho

Marrrta [24]

Answer

• A. Equation: 25(5 + x) = 325

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is: