All categories

2 years ago

Solve the following inequality 5x+12+3x<36

Mathematics

1 answer:

Anni [7]2 years ago

5 0

Answer:

x<3

Step-by-step explanation:

5x+12+3x<36

First subtract 12 from both sides.

5x+3x<24

Next combine like terms on the left side (5x and 3x)

8x<24

Next divide 8 from both sides

x<3

You might be interested in

Solve the system of equations:<br> y = x + 2<br> y = x2 + 5x + 6<br> HELP PLZ

soldier1979 [14.2K]

Answer:

x=2(twice)

y=0(twice)

Step-by-step explanation:

This question can be solved using substitution method

So let's solve

y=x+2....(1)

y=x2+5x+6....(2)

Substitute (1) into(2)

X+2=x2+5x+6

Collect like terms

X2+5x-x+6-2=0

X2+4x+4=0

X2+2x+2x+4=0

X(x+2)+2(x+2)=0

(X+2)(x+2)=0

X+2=0

Substrate 2 from both sides

X=-2

X+2=0

X=-2

Let's substitute the value of x into (1)

y=x+2

y=-2+2

Y=0(twice)

6 0

3 years ago

What is the surface area of the triangular prism whose net is shown below?

densk [106]

I believe that the answer is A.)264

6 0

2 years ago

Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig

Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 3466, \sigma = 546$

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2500 - 3466}{546}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384

3.84% probability that it has a low birth weight

3 0

3 years ago

the width of the morros in shannon's bathroom is 4/9 its length. The area of the mirror is 576 square inches. What are the dimen

fredd [130]

W=4L/9

A=LW, using W found above gives us

A=L(4L/9)

A=4L^2/9 and we were told that A=576 so

4L^2/9=576 multiply both sides by 9

4L^2=5184 divide both sides by 4

L^2=1296 take the square root of both sides

L=36, and we know that W=4L/9 so

W=4(36/9)=16

So the dimensions are: width=16in and length=36in

5 0

3 years ago

The distance between Bay Town and Oak Glen is 175 miles. If the equation y = -x +175 represents the distance left to travel to O

denis-greek [22]

My answer is isn't on the choices and I can't show you how I got it. My answer is in the attached files.

5 0

2 years ago

Solve the following inequality 5x+12+3x<36￼

Solve the following inequality 5x+12+3x<36