Solve for x: −2x + 5 < 7

Answers

Answer 1

Inequality Form = X > -1

Interval Notation = (-1,∞)

Answer 2

Answer:

x>-1

Step-by-step explanation:

move the 5 to the other side by subtracting both sides by 5:

-2x+5-5<7-5

=

-2x<2

Divide by negative 2

(Reminder when you divide or multiply anything by negative you need to switch the signs to the other side)

x>-1

Hope this helps!


Related Questions

1. (- 17 )- (-19)- 212. 280- (105) - (134 ) =
I'll give you? please answer.​

Answers

Answer:

23

Step-by-step explanation:

23

Answer:

-449.28

Step-by-step explanation:

I used a calculator

Helpppppppp thank you<3

Answers

Answer:

Step-by-step explanation:

Answer:

X=50

Step-by-step explanation:

Since a line equals 180 ( even if it's bisected- meaning there is a line through it ) and you know one side is 113, you subtract 113 from 180 to find the other side ----> 180-113= 67. so now you know the small right angle in the triangle is 67°

Then since a triangle also always equals 180° and now you know that one angle is 63 and the other is 67, you just subtract those from 180 to find the third angle ( which is x) -----> 180-67-63=50

So x=50

Hopefully this wasn't too confusing...

In Last Lecture, which person does Randy Pausch connect to the idea of always encouraging his students to strive for higher goals?

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is correct

A rectangular is completety filled with dice.Each dice has volume of 2cm³.The length of the box is 5cm grater than its width and its height is 5cm.Suppose the box holds at most 150dice.What are the posibble dimensions of the box​

Answers

Answer:

length = 10.64 cm, width = 5.64 cm, and height = 5 cm.

Step-by-step explanation:

Total volume of dice that filled the box = (150 x 2) cm³

                                         = 300 cm³

Let the length, width and height of the box be represented by l, w and h respectively.

So that;

l = (w + 5) cm

w = w

h = 5 cm

volume of the box = length x width x height

                               = (w + 5) x w x 5

                               = (w + 5) x 5w

                               = 5[tex]w^{2}[/tex] + 25w

volume of the box = 5[tex]w^{2}[/tex] + 25w

Since the box was completely filled by 150 dice, then;

total volume of dice = volume of the box

300 = 5[tex]w^{2}[/tex] + 25w

5[tex]w^{2}[/tex] + 25w - 300 = 0

Divide through by 5 to have;

[tex]w^{2}[/tex] + 5w - 60 = 0

Applying the quadratic expression,

w = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a

where: a = 1, b = 5 and c = -60

(-5 ± [tex]\sqrt{5^{2} - 4(1*-60)}[/tex] ) ÷ 2

(-5 ± [tex]\sqrt{265}[/tex]) ÷ 2

(-5 ± 16.28) ÷ 2

(-5 + 16.28) ÷ 2 OR (-5 - 16.28) ÷ 2

5.64 OR -10.64

Thus, w = 5.64 cm

So that, l = (w + 5) = 10.64 cm

The possible dimensions of the box are: length = 10.64 cm, width = 5.64 cm and height = 5 cm.

HELP PLEASE















The sum of three numbers is 19. The third number is eleven less than five times the second number. If the first number is quadruple the amount of the second number, what is the value of the third number? (may I have the equation please)

Answers

Answer:

third number = 4,

equation of y, y = 5x - 11

equation of n, n = 4x

equation of x, n + x + y =19

Step-by-step explanation:

so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19

10x = 30

x = 3.

Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11

15 - 11

4 = third number

Which is the best to buy?
a) 6 shirts for $25.50 b) 4 shirts for $18.00 c) 5 shirts for $21

Answers

Answer:

C. 5 Shirts for $21

Step-by-step explanation:

I conclude this when I calculate the amount of money needed for a singular shirt in every "bundle" by using division.

First I calculated how much you'd have to pay for one shirt in the six-pack collection fo shirts, and I resulted in $4.25 for each shirt. The problem in number form is: 25.50÷6=4.24. By dividing the total with six you result in the singular price of the individual price of each shirt in the pack.

As for the other packs, my calculations resulted in $4.50 for the 4 shirts pack and $4.20 for the 5shirts pack.

find the number please

Answers

Answer:

1

Step-by-step explanation:

The reciprocal of 1 equals 1

1/4×4=1

1-1=0

Answer:

The answer is 8

Step-by-step explanation:

Multiply, add and subtract the top

HELP ME OUT!!!!!!!!!!

Answers

Answer: it costs 1/3 or 0.333... for one orange

X represents number of oranges

Y represents the cost

12x-5y=-20
y=x+4
Please help me asap it's due Wednesday
:(

Answers

Answer:

Point Form:

(0,4)

Equation Form:

x=0,y=4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

ANSWER THIS ALEGBRA QUESTION IF YOU ARE GREAT AT MATH ‼

Answers

Answer:

C) (5, ∞)

General Formulas and Concepts:

Alg I

Range is the set of y-values that are outputted by function f(x).

Step-by-step explanation:

According to the graph, we have a horizontal asymptote at y = 5. Therefore, the graph never actually touches/reaches the y-value 5. Therefore, 5 is not included in our range:

(5, ∞) or y ≥ 5

Find the value of x 2x+11 14x-37

Answers

2x + 11

Isolate 2x by taking away 11:

2x = -11

Divide both sides by 2 to get the value of x:

x = -5.5



14x - 37

Isolate 14x by adding 37:

14x = 37

Divide both sides by 14 to get the value of x:

x = 2.64

Answer:

The value of x is equal to 4. See explanation below:

Step-by-step explanation:

2x+11=14x-37

    -11        -11             -Subtract 11 from both sides: 11-11=0 | -37-11=-48

2x=14x-48

-14x  -14x                  -Subtract -14x from both sides: 14x-14x=0 | 2x-14x=-12x

-12x=-48                   -Divide both sides by -12: -12/-12=0 | -48/-12=4

------  -----

-12    -12

x=4                             -X is equal to 4

Check:

2x+11=14x-37

Substitute x for 4:

2(4)+11=14(4)-37

Solve:

2*4=8

8+11=14(4)-37

8+11=19

19=14(4)-37

14*4=56

19=56-37

56-37=19

19=19

So x does in fact equal 4.

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!!

What's the greatest number 7.3 or 55

Answers

the answer is 55

because there's a . in 7.3

and 55 is the higher number.

In which quadrant does the point (-8 , -18) lie?

Answers

Quadrant 3, since both x value and y value are nagative

Answer:

Quadrant 3

Step-by-step explanation:

Quadrant 1- (Positive,Positive)

Quadrant 2- (Negative Positive)

Quadrant 3- (Negative,Negative)

Quadrant 4- (Positive,Negative)

please help me out .
ill mark brain list

Answers

Answer:

The amount of time Jill spent to do her homework  

= 9 1/2 hours. which equals to  570 minutes.

Which means, the amount of times Jack needed to do his is  

= 570 minutes x 1.5

= 855 minutes which equals to 14 1/4 hours

hope this helps

Answer:

Step-by-step explanation:

1) Time spent by Jack = Time spent by Jill * 1  1/2

                                [tex]= 9\frac{1}{2}*1\frac{1}{2}\\\\=\frac{19}{2}*\frac{3}{2}\\\\=\frac{19*3}{2*2}\\\\=\frac{57}{4}\\\\=14\frac{1}{4} hours[/tex]

2) Time spent by Jill = Time spent by Jack ÷  1 1 /2

                                 = 18 1/4 ÷ 1 1/2

                                 = 73/ 4 ÷ 3/2

                                 [tex]= \frac{73}{4} * \frac{2}{3}\\\\=\frac{73}{2}*\frac{1}{3}\\\\=\frac{73*1}{2*3}\\\\=\frac{73}{6}\\\\=12\frac{1}{6} hours[/tex]

3) Third number = Sum of three numbers - Sum of two numbers

Sum of two numbers = [tex]8\frac{2}{3}+8\frac{1}{6}\\[/tex]

                                   [tex]= \frac{26}{3} +\frac{49}{6}\\\\=\frac{26*2}{3*2}+\frac{49}{6}\\\\=\frac{52}{6}+\frac{49}{6}\\\\=\frac{52+49}{6}\\\\=\frac{101}{6}\\[/tex]

Third number = 22 8/15 - 101/6

                       [tex]= \frac{338}{15}- \frac{101}{6}\\\\= \frac{338*2}{15*2}- \frac{101*5}{6*5}\\\\= \frac{676}{30}- \frac{505}{30}\\\\= \frac{676-505}{30}\\\\= \frac{171}{30}\\\\=5 \frac{21}{30}\\\\= 5 \frac{7}{10}[/tex]

Complete the statement. Round to the nearest hundredth if necessary.
14 m to ft
(the answer is not 45.93)

Answers

Answer: 46


Explanation: 14 meters is 45.93 but the .93 is over .55 so you round to the nearest hundredths.

Does someone know the answer?

Answers

Answer:

i do not

know the awnser but c would be 720 multiplied by its self 3 times the converted

Step-by-step explanation:

16 17 18
Select True or False for each statement.
Point A(5,-5) is to the right of the y-axis and below the x-axis.
7
Point B(-3, 2) is to the left of the y-axis and below the x-axis.
7
Point C(2, 2) is to the right of the y-axis and above the x-axis.
?
V
Point D(-4, 4) is to the left of the y-axis and below the x-axis.
?

Answers

Answer:

true, false, true, false

y is directly proportional to x
when y=30, x=6

Answers

Answer:

y = 5x

Step-by-step explanation:

Assuming you require the proportional equation

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when y = 30, x = 6 , then

30 = 6k ( divide both sides by 6 )

5 = k

y = 5x ← equation of proportion

PLEASE HELP!! WILL GIVE BRAINLIEST!!
Directions: Simplify each term by factoring.
1. 9rs

2. 14xy

3. 5x2

4. 32x2

5. 20x2

6. 30x2

7. 5x3

8. 25y3

9. 9xy

10. 12x4

Answers

Answer:

mark brainlest and the answers are in the doc

Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.

To simplify each term by factoring:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Consider the graph representing the cans of soda in a refrigerator at a birthday party.

Which statement describes the graph? Select all that apply.
the y intercept is 50
the y intercept is 100
it decreases as 2 sodas per trip
it decreases every 10 sodas per 20 trips
the y intercept is 0 and the rate of change is 50

Answers

Answer:

B/ C

Step-by-step explanation:

because it starts at 100 - the y intercept

and because it goes down 2

A logo in an advertisement is an equilateral triangle with a side length of 7 centimeters. Give the measure of each side. From least to greatest, the measure of each side is centimeters, centimeters, and centimeters.

Answers

Answer:

The measure of the least side of the logo = The measure of the greatest side of the triangular = 7 cm

Step-by-step explanation:

The measure of all the sides of an equilateral triangle are equal

Therefore, the measure of each side of the logo are equal to the length of the given side length of 7 centimeters

The measure of the least side of the logo = The measure of the greatest side of the triangular = 7 cm

which shows the best use of the associative and communitive properties to make simplifying 3/4 - 5 + 9 - 2/4 + 2 easier?
a.) [2 + 3/4 + (-5)] + [(2/4) + 9]
b.) [3/4 + 9 + (-5) + [2 + (-2/4)]
c.) [3/4 + (-2/4)] + [9 + 2 + (-5)]
d.) [3/4 + (-5)] + [9 + (-2/4) + 2]

Please post a real answer.

Answers

Answer:

The Answers A.

Step-by-step explanation:

please please help asap!

Simplify (5x2 + 3x + 4) + (5x2 + 5x − 1)

Answers

Answer:

10x^2+8x+3

Step-by-step explanation:

Add 5x^2 and 5x^2 which is 10x^2

Add 3x and 5x which is 8x

add 4 and -1 which is 3

Final answer: 10x^2+8x+3

Hope this helps!

Which of these formulas models this arithmetic sequence?
8.7, 8.4, 8.1,7.8, 7.5,...

Answers

Answer:

The formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

Step-by-step explanation:

Given the sequence

[tex]8.7,\:8.4,\:8.1,\:7.8,\:7.5,...[/tex]

An arithmetic sequence has a constant difference d and is defined by:

[tex]\:a_n=a_1+\left(n-1\right)d[/tex]

Computing the differences between all adjacent terms:

[tex]8.4-8.7=-0.3,\:\quad \:8.1-8.4=-0.3,\:\quad \:7.8-8.1=-0.3,\:\quad \:7.5-7.8=-0.3[/tex]

The difference between all adjacent terms is the same and equal to

[tex]d=-0.3[/tex]

The first element of the sequence is

[tex]a_1=8.7[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Therefore, the nth term is computed by:

[tex]a_n=-0.3\left(n-1\right)+8.7[/tex]            ∵ [tex]d=-0.3[/tex]

[tex]a_n=-0.3n+9[/tex]

Therefore, the formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

20=3m+5m what does m equal?

Answers

Answer:

2.5=m

Step-by-step explanation:

20=3m+5m

combine like terms

20=8m

divide by 8 on both sides

2.5=m

what is x 2 −6x=-156

Answers

x=39 here’s how, you have to reorder the terms, collect like terms, and then divide both sides! Your welcome!

你好!Please help me with this question. I will mark the correct answer brainlist, this is worth 20 points.

1.) Is the number rational or irrational? Show your work/explain
-3√8
2√3 - √27

2.) 4/13 and 3/10
Which number is larger? Explain
What is a rational number between the two given numbers?

Answers

Answer:

See below

Step-by-step explanation:

1)

Once

[tex]-3\sqrt{8} = -6\sqrt{2}[/tex], it is an irrational number because [tex]\sqrt{2}[/tex] is irrational.

[tex]2\sqrt{3}-\sqrt{27} = 2\sqrt{3}-3\sqrt{3}=-\sqrt{3}[/tex], it is an irrational number because [tex]\sqrt{3}[/tex] is irrational

2) In order to compare those two fractions put them in the same denominator.

Once

[tex]\dfrac{4}{13} = \dfrac{40}{130}[/tex]

[tex]\dfrac{3}{10} = \dfrac{39}{130}[/tex]

So,

[tex]\dfrac{39}{13} > \dfrac{40}{130}[/tex]

This is because, when two fractions have the same denominator, the larger number between them is the fraction with the lowest numerator.

Both are rational numbers because both denominator and numerator are integers.

2.) Benson is keeping track ofthe amount ofsalt he consumes each day. According to the label on his macaroni and cheese box, one serving contains 470 mg of sodium (salt). If 470 mg is 20% ofthe recommended daily amount, how many milligrams of sodium are recommended for the whole day? Explain or show your calculations.

Answers

Answer: 2350 milligrams of sodium are recommended for the whole day.

Step-by-step explanation:

Let x= Quantity of sodium are recommended for the whole day.

As per given, we have

20% of x = 470 milligrams

⇒ 0.20x = 470 milligrams  [20%=0.20]

[tex]\Rightarrow\ x=\dfrac{470}{0.20}[/tex]  [Divide both sides by 0.20]

[tex]\Rightarrow\ x= 2350[/tex]

Hence, 2350 milligrams of sodium are recommended for the whole day.

How many different arrangements of letters can be formed if the first letter must be W or K​ (repeats of letters are​ allowed)?

Answers

Answer:

This can vary. Are we doing 4 letter words, 5 letter, etc?

Step-by-step explanation:

The weight of an object on the moon is one-sixth its weight on earth.If an object weighs 48 pounds in the moon how much does it weigh on earth

Answers

Answer:

288 lbs

Step-by-step explanation:

since it is 1/6 of the amount on the moon compare to the earth

take 48 and multiply it by 6

48x6=288

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