Find the solution set to the inequality.

4x - 1 < 11

Find The Solution Set To The Inequality.4x - 1 &lt; 11

Answers

Answer 1
4x - 1 < 11
Add 1 to both sides
4x < 12
Divide both sides by 4
x < 3
x is less than 3
Answer 2

Answer:

x < 3

Step-by-step explanation:

Isolate the variable, x. Treat the < sign as an equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 1 to both sides of the equation:

4x - 1 (+1) < 11 (+1)

4x < 11 + 1

4x < 12

Next, divide 4 from both sides of the equation:

(4x)/4 < (12)/4

x < 12/4

x < 3

x < 3 is your answer.

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Related Questions

Monica has this recipe for fruit salad. 2 1/2 cups of pers, 2/3 cups of grapes, 1 1/4 cups of apples, and 1/2 of orange slices. How many cups for fruit is it in total?

Answers

Answer:

[tex]3\frac{11}{12}[/tex] cups

Step-by-step explanation:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears

[tex]\frac{2}{3}[/tex] of grapes

[tex]\frac{1}{4}[/tex] of apples

[tex]\frac{1}{2}[/tex] of orange

when adding fractions, make sure all denominators are the same:

[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears

[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes

[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples

[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange

add all of the fractions:

[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]

convert to mixed fraction:

[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]

Look at the other guys

Helpp pleaseeeee and could u put an explanation of how you did it?

Answers

Answer: Option A

Step-by-step explanation:

To get from A to A', what is done?

A is at the point (2,6) and A' is at the point (2,-1)

The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)

Now let us take a look at options A and B which both concern the y value

The y-value of A is 6 and A' is -1

To get from 6 to -1, do you

a) subtract 7

or b) = multiply by -1

Let us test it out:

a) 6 - 7 = -1 (yes, it equals -1)

b) 6 * -1 = -6 (no, it does not equal the intended value of -1)

Thus correct choice is A, we subtract 7

Can someone help me with this?

Answers

Answer:

I think it's y= +10

not sure tho :))

Hillside middle school chorus is giving a concert in the cafeteria

Answers

very cool mate ,,,uwu s

Six friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Answers

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies

What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.

Answers

Answer: pi/2

Step-by-step explanation:

please help me i suck at math

Answers

37000 + 37000\(0.09)

is the answer.

A rectangular dance floor has an area of 96 square feet and a length of 8 feet.
What is the width of the dance floor?
Enter your answer in the box

Answers

Answer:

12 is the width

Step-by-step explanation:

1. To solve this problem we must first set up an equation:

96a=8l ×?w

2. this is what this equation means 96(area) equals 8(length) times what(width)

3. so we must find out what we must multiply by 8 to get 96

4. to do this we will divide 96 by 8

which equals 12!

What is 1- (58%+3%) expressed in percent form

Answers

Answer:

39/100 or 39%

Step-by-step explanation:

1−(58/100+3/1000)

=39/100.

39%

i am failing. help.

Answers

x = 14
y = 29

If you subtract 32 and 24, you can see that it’s just adding 8 to be bigger.

So 6 + 8 = 14 and 21 + 8 = 29

Hope this helps!

Help plz for this math question!!

Answers

Answer:

[tex]3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = [/tex]

Step-by-step explanation:

[tex]3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0[/tex]

what are the x-intercepts of the parabola? y=-3(x+5)(x-9)

Answers

Answer:

-5 and 9

Step-by-step explanation:

Graph the equation on a graph.

You can also simplify the equation into y=mx+b form and then graph:

y=-3(x+5)(x-9)

y=(-3x-15)(x-9)

y=-3x^2+27x-15x+135

y=-3x^2+12x+135

can anyone please help and tell me what the answer to this question is?

Answers

Answer: what question?

What is the question?

please help asap, thanks !

Answers

Answer:

A) P = DA/V

Step-by-step explanation:

D = PV/A

DA = PV

DA/V = P

24xy-xy^3+x^2 find the degree plz

Answers

Answer:

4

Step-by-step explanation:

24xy---> 2

-xy3--->4

x2--->2

After 32 years from now a boy will be 5 times as old as he was 8 years back.How old is the boy now?

Answers

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.


a

spending $42 to buy 6 sandwiches
b

spending $42 to buy 7 sandwiches
c

spending $108 to buy 18 sandwiches
d

spending $40 to buy 5 sandwiches
e

spending $96 to buy 16 sandwiche

Answers

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?

Answers

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Donna is putting money into a savings account. She starts with $450 in the savings account, and each week she adds $70.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Donna has been adding money. Write
an equation relating to W. Then use this equation to find the total amount of money in the savings account after 14 weeks.

Answers

Answer:

1430

Step-by-step explanation:

S=450+70T

S= 450 + 70(14)

S=450+980

S=1430

Write the equation of the line with a slope of 10 that goes through the point (8. -2) in Slope-Intercept and Point-Slope Form.
Slope-Intercept Form:

Answers

Answer:

Slope-Intercept: y = 10x - 82    Point Slope form: y + 2= 10(x - 8)

Step-by-step explanation:

To create a Slope-Intercept form, you need to first find the y-intercept. To do that, you need to plug in the coordinates in the eqaution so far, y = 10x +b.

y = 10x +b.

-2 = 10(8) + b

-2 = 80 + b

-82 = b

y = 10x - 82

Point Slope form: y + 2= 10(x - 8)

The guest at a party shared five pies equally in each person get 1/8 of a pie how many guest were at the party?

Answers

Answer: 40 people

Step-by-step explanation:

There were 5 pies in the party and each person that came got an equal share of 1/8.

The number of people who were there is therefore:

= Number of pies / Share each person got

= 5 ÷ 1/8

= 5 * 8/1

= 40 people

I need help with this

Answers

9514 1404 393

Answer:

pyramidprismprismpyramidprism

Step-by-step explanation:

A triangular prism will have exactly 2 triangular sides (bases).

A triangular pyramid will have at least 3 triangular faces.

Count the triangles and classify accordingly.

Left to right, the number of triangles is ...

  4, 2, 2, 4, 2

The figures with 4 triangles are pyramids; the others are triangular prisms.

Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 258 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
43 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
42 rounds per hour

Answers

The answer is A. 43

Explanation:
Divid 258 by 6

If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin

Answers

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

cos 45° cos 30° + sin 45° sin 30°​

Answers

Answer: hi hope this helps

Step-by-step explanation:

Point B has coordinates ​(4​,1​). The​ x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point​ A?

Answers

Answer:

1.3

Step-by-step explanation:

B: (4,1)

A: (-8, 1.3)

pythagorean theorem:

a leg: .3

b leg: 13

c: 13

HELPPP

A. 9
B. 20
C. 16
D. 4

Answers

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b

Answers

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

simplify 4(q + 7) + 2

Answers

Answer:

The answer to this problem is 4q+30

First you would distribute the 4 into (q+7), which results in;

4q+28+2

Then you would simplify from here, and get;

4q+30

^^^ This is the final and correct answer.

Can someone help me solve this triangle please?

Answers

It Minecraft think of it as that
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