Mathematics High School

how do I solve this linear inequality?
5x - 7 > 4x + 8

Answers

Answer 1

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer 2

Answer:

[tex]\huge\boxed{\sf x > 15}[/tex]

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

There are 27 beads in a box. Lea 4 blue boxes, 9 yellow boxes 4 red boxes 2 silver boxes.
Lea bought about beads

Answers

Answer:

104 blue boxes

243 yellow boxes

108 red boxes

54 silver boxes

Answer each question below.
18.
(16)
ZW and ZY are supplementary. If m

Answers

Is there anymore words?

Answer:

I'm not answering but i can help you :)

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°.

The two angles of a linear pair, like ∠1  and  ∠2 in the figure below, are always supplementary.

But, two angles need not be adjacent to be supplementary. In the next figure, ∠3  and  ∠4 are supplementary, because their measures add to 180°.

Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a.

So, measure of the other angle is 2a.

If the sum of the measures of two angles is 180°, then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a, divide both sides of the equation by 3.

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120°.

Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.

The sum of the measures of two supplementary angles is 180°.

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q.

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both sides. We get:

7x=203°

Divide both sides by 7.

7x7=203°7

Simplify.

x=29°

To find m∠P, substitute 29 for x in 2x+15.

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73°.

To find m∠Q, substitute 29 for x in 5x−38.

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107°.

Find the slope
Answers:
Question 1 options:

-3


3


-2

Answers

Answer:

b

Step-by-step explanation:

Answer is 3 I think

Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?

help asap!!

Answers

Answer:35 m

Step-by-step explanation:

North: 5+6+4. East: 4+16. 15+20

Which of these are prime numbers 5,6,9,13,18

Answers

Answer:

5 and 13

Step-by-step explanation:

Answer:

13

is the answer

Hope it help u

HELPPP IM BEGGING U LOOK AT THE PIC BABES

Answers

Answer:

2nd option

Step-by-step explanation:

in the figure below red points are for ΔC"D"E"

we have to go in reverse order

to convert ΔC"D"E" to ΔC'D'E'

we have to scale the given triangle to a scale factor of 2

by multiplying vertices with 2

which gives blue points in the figure

next for 90° counter clockwise of ΔC'D'E' we get ΔCDE

for that we have to interchange x and y in the vertices

(2,2), (4,6), (-2,6) initial

(-2,2), (-6,4), (-6,-2) after

2nd option

7,200 divided by 10 to the power of 2

Answers

Answer:

51840

[tex] 51840[/tex]

Answer:

518400

Step-by-step explanation:

7200 ÷ 10 is just the zero less:

= 720

Then

720 × 720 =

+1440

+5040

=518400

Salem is a diver. Today he descended to a depth of 50 feet below sea level. Then he swam up 8 feet and descended another 4 feet. How far below sea level is Salem now?

Answers

Answer:

46 feet below sea level

Step-by-step explanation:

First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.

0.57,0.66,0.75,0.84 what are the next three numbers

Answers

Step-by-step explanation:

since the difference between all the numbers is 0.09 so to get the next three numbers you add o.o9 to 0.84 the answer u get add it with 0.09 until u get the numbers u are asked to look for

9. Allen and his two brothers decide to purchase a video game system together. They determine
that each person will need to pay $32.30. How much is the cost of the video game system?
I need a variable, equation, and the solution. Pls help!!!

Answers

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90

Write 10 10 10 10 10 with an exponent.

Answers

Answer:

10 5 ( Exponent )

Hope it helps

It is 10^5, hope this helps

Please help ME for brainliest.

Answers

Answer:

Equation: -1.2y-4.2y=-3.78

Solved: y=0.7

Step-by-step explanation:

-1.2y-4.2y=-3.78

-5.4y=-3.78

y=0.7

I will take you up on your brainliest offer

Points S, Q, R, and T all lie on the same line; Given. Arrows are drawn from this statement to the following three statements. Statement 1: The measure of angle SQT equals 180 degrees; Reason 1: Definition of a Straight Angle. Statement 2: The measure of angle SQV plus the measure of angle VQT equals the measure of angle SQT; Reason 2: Angle Addition Postulate. Statement 3: The measure of angle SQV plus the measure of angle VQT equals 180 degrees; Reason 3: Substitution Property of Equality. Lines UV and WZ are parallel; Given. An arrow is drawn from this statement to the following statements. Statement 4: The measure of angle VQT plus the measure of angle ZRS equals 180 degrees; Reason A. Statement 5: The measure of angle SQV plus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS; Reason B. An arrow also points from Statement 3 to Statement 5. An arrow from Statement 5 points to the following statements. Statement 6: The measure of angle SQV plus the measure of angle VQT minus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS minus the measure of angle VQT, the measure of angle SQV equals the measure of angle ZRS; Reason C. Statement 7: The measure of angle SQV is congruent to the measure of angle ZRS; Definition of Congruency.

Which theorem accurately completes Reason A?

Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem

Answers

9514 1404 393

Answer:

  (d)  Same-Side Interior Angles Theorem

Step-by-step explanation:

Of the offered choices, only one deals with supplementary angles:

  Same-Side Interior Angles Theorem

_____

A diagram would be helpful. We have to assume here that WZ passes through R, and that Z is on the same side of ST as is V. If that is not the case, then the problem makes no sense.

Item 38 Pre-Test: What category of magazine saw the largest number of new titles during the late 1800s

Answers

Answer:

Women's magazines

Step-by-step explanation:

(X-5)(X+6)
Expand and simplify

Answers

X^2+x-30 is the answer

Answer:

Step-by-step explanation:

(x - 5)(x + 6) = x *(x + 6) - 5*(x + 6)

                   =x * x + 6 *x + x*(-5) + 6*(-5)

                    = x² + 6x - 5x - 30    {Combine like terms}

                    = x²  + x - 30

please answer this box for me i need a lot of help

Answers

Answer: 12

Step-by-step explanation: the denominator is the bottom number, so 6 and 4. The smallest number they BOTH have in common is 12. Hope this helps :)

Answer:

The least common denominator would be 12.

Step-by-step explanation:

Because if you look at each row of multiples, 12 is the smallest number that they both have in common.

See for your self:⤵⤵⤵

1/6 ➡ 6 12 18 24 30

3/4 ➡ 4 8 12 16 20

Hope this helps :)

One member of the solution set of 3x + 2 > x + 8 is

(A) 1

(B) 3

(C) 5

(D) -4

Anyone know the answer to this ?

Answers

3x + 2 > x + 8

3x - x > 8 -2

2x > 6

x > 3

ok done. Thank to me  :>

what is 6.38 to 1 decimal place​

Answers

Answer: Is 6.4

Step-by-step explanation: I hope I helped in some way shape or form.

1
−5
​
can be simplified to what value?

Answers

Answer:

1/5 is already in it's simplest form, but you can also write it was 0.2

Dija writes 7x 9 = 63 to find the
number of players on 7 baseball teams. Describe what
each of the factors represents in the multiplication equation.

Answers

Answer:

7 represents the number of teams. 9 represents the amount of players on each team. And 63 represents the total number of players.

Step-by-step explanation:

Solve.

34(x−8)=−12


x=− 26/3

x = 10

x=22/3

Answers

I believe the answer would be... x= 130/17  for  34(x-8)=-12

I am really sorry, but I am not sure how to answer the rest

Hoped I helped with the first part of it!

Have a great day/night!

Answer:

The answer is 22/3

Step-by-step explanation: I got it right

Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?

An apple pie uses ____ apples and an apple tart requires____apples.

Answers

Answer:

An apple pie uses 7 apples and an apple tart requires 4 apples

Step-by-step explanation:

Apple pie - p, apple tart - t

Set the system as follows:

p + 3t = 1910p + 10t  = 110

Solve by substitution, p = 19 - 3t:

10(19 - 3t) + 10t = 110190 - 30t + 10t = 11020t = 190 - 11020t = 80t = 4

Find the value of p:

p = 19 - 3*4 = 19 - 12 = 7

Apple pie be xApple tart be y

The equations are

x+3y=19--(1)10x+10y=110=>x+y=11---(2)

Subtracting both equations

[tex]\\ \sf\longmapsto 2y=8[/tex]

[tex]\\ \sf\longmapsto y=4[/tex]

Put in equation (2)

[tex]\\ \sf\longmapsto x+4=11[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

List three negative numbers that are between -8 and -1

Answers

Answer:

the answer is -5 -3 -7 but there are more

Answer:

-7,-6,-5,-4,-3,-2 they are alot but you can take what every number


Kameron has (4x + 10) toy cars. His
best friend Joey has (-5x + 20) toy
cars. How many more toy cars does
Kameron have than Joey has?

Answers

Answer:

9x-10

Step-by-step explanation:

(4x+10) - (-5x+20)

Open the brackets

4x+10+5x-20

Collect like terms

4x+5x+10-20

9x-10

steve has been lifting 225 pounds during a deadlift for several weeks. during his warmup he wants to lift 60% of this weight. how much weight should he lift?

Answers

Answer:

135 lb

Step-by-step explanation:

Turn 60% into a decimal (0.60)

Then multiply 225 by 0.60

225 * 0.60 = 135 lb

Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539. 70 every year. If Andrew owns 105 shares of Hyren Airlines, how big is the dividend each share yields? a. $3. 60 b. $2. 78 c. $5. 67 d. $5. 14.

Answers

Answer:

the answer to your question is B $3.60

Which statement is true regarding the functions in the graph?

F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)

Answers

the Answer is f(3) = g(3)

The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 cm long.
Calculate the length of the shortest side in the triangle

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

sum the parts of the ratio, 3 + 2 + 1 = 6 parts

The sum of the 3 angles in a triangle = 180°  , then

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

3 parts = 3 × 30° = 90°

2 parts = 2 × 30° = 60°

1 part = 30°

The angles in the triangle are 90°, 60°, 30°

Thus the triangle is right angled

(b)

The shortest side is opposite the smallest angle, that is opposite 30°

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 × opposite = 25 ( divide both sides by 2 )

opposite = 12.5

That is shortest side is 12.5 cm

list the first six multiples of 6

Answers

Answer: 6, 12,24,30,36

Step-by-step explanation:

Hope this helps! :)

Which is not a way to write the answer to this problem?

Answers

Answer:

D) .

Step-by-step explanation:

913 ÷ 29 ≈ 31

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