Levens and frank shared a pizza levens ate 1/2 and frank ate 1/6 how much more did levens eat than Frank?

A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the

pshichka [43]

Length of the rectangle is 51 inches

Solution:

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

The formula for rectangle is given as:

$\text { area of rectangle }=length \times width$

As given that Area of rectangle = 867 square inches

$\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}$

On solving quadratic equation by using quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

$\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}$

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0

3 years ago

A seamstress needs to cut 15- inches pices of ribbons from a roll of ribbon that is 9 feet in length. What is the greatest numbe

sertanlavr [38]

The seamstress can cut 36, 15-inch pieces of ribbon from 5 rolls of 9 foot long ribbon.

8 0

3 years ago

What is the product in distributive property for 7x63

Sauron [17]

Distributive property is
a(b+c)=ab+ac

we can make it easier by splitting up 63 into 60+3

so
7(63)=7(60+3)=7*60+7*3=420+21=441

7 0

2 years ago

Read 2 more answers

Can anyone help me with this? I'll mark brainliest for best answer

soldier1979 [14.2K]

Answer:

The answer is k = -12

4 0

3 years ago

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

Vitek1552 [10]

Step-by-step explanation:

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

3 0

2 years ago

Read 2 more answers