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3 years ago

The sum of a number and 3 more than twice the number is less than 36. Find the number

Mathematics

2 answers:

Misha Larkins [42]3 years ago

8 0

Step-by-step explanation:

x+2x+3<36

3×<33

x<11

the number is less than 11

alexandr402 [8]3 years ago

3 0

Answer: n < 33/2

Step-by-step explanation:

3 + 2n > 36

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dybincka [34]

Do 36 divided by the amount of sides the hexagon has. I think I am not sure

5 0

3 years ago

PLEASE HELP IMAGE IS BELOW!!

guajiro [1.7K]

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

6 0

3 years ago

The average of four numbers is 98. If three of the numbers are 86,87,and 91 what is the fourth number?

timurjin [86]

To find the average, you have to add all the numbers up and then divide by the amount of numbers you added together.

Equation: (86+87+91+x)/4=98
Solve for x:
86+87+91+x=98*4
264+x=392
x=392-264
x=128

The fourth number is 128

7 0

4 years ago

If EF - 3x - 11, FG = 4x-10, and EG - 28, find the values of x, EF, and FG. The drawing is not to scale.

Gnom [1K]

Answer:

Part 1) $x=7$

Part 2) $EF=10\ units$

Part 3) $FG=18\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

$EG=EF+FG$ ---> by addition segment postulate

we have

$EG=28\ units\\EF=3x-11\\FG=4x-10$

substitute

$28=(3x-11)+(4x-10)$

solve for x

$28=7x-21$

$7x=28+21$

$7x=491$

$x=7$

step 2

Find the value of EF

$EF=(3x-11)$

substitute the value of x

$EF=3(7)-11=10\ units$

step 3

Find the value of FG

$FG=(4x-10)$

substitute the value of x

$FG=4(7)-10=18\ units$

4 0

4 years ago

1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

4 years ago