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Anni [7]
3 years ago
15

The sum of x and 8 is less than 72​

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:

x<84

Step-by-step explanation:

First, write an inequality. We know it is not an equation because of the words "less than". Also, x and 8 are being added because of the word "and". Here's the inequality: x+8 < 72. Now, subtract 8 on both sides so x is isolated. Our simplified inequality looks like this: x < 84.

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Radda [10]

Answer:

0.5

Step-by-step explanation:

2*4*\frac 1 {16}\\8 / 16\\0.5

Hope this helped :)

7 0
3 years ago
How many minutes are there in 4 hours and half
inn [45]
<h3>Answer:</h3>

270 minutes

<h3>Step-by-step explanation:</h3>

(60 minutes/hour) × (4.5 hours) = 270 minutes

5 0
3 years ago
Find an equation of the line described (3,7) (0,0)
Colt1911 [192]
The formula of the line is
y=mx + b
The likes goes through the point (0,0)
that means that y-int = 0, b=0
y=mx
So we need to find only slope.

m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =  \frac{7-0}{3-0} = \frac{7}{3} &#10;&#10;

So, y= \frac{7}{3} x



3 0
3 years ago
What is the sum of the elements of (A and B) and not C?<br><br>​
elena55 [62]

Answer:

Hi myself Shrushtee.

Step-by-step explanation:

Your answer is

• c 15

please mark me as brainleist

6 0
2 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
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