-36x - 24 ≤ -6(5x + 12)​

Answers

Answer 1

Answer:

x ≥ 8

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define inequality

-36x - 24 ≤ -6(5x + 12)

Step 2: Solve for x

Distribute -6:                         -36x - 24 ≤ -30x - 72Add 36 on both sides:         -24 ≤ 6x - 72Add 72 on both sides:          48 ≤ 6xDivide both sides by 6:         8 ≤ xRewrite:                                  x ≥ 8

Here we see that any number x greater than or equal to 8 would work as a solution.


Related Questions

Solve by the substitution method.

-3x – 3y = 3

y=-5x – 17

Answers

Answer:

postive 6

Step-by-step explanation:cause negative plus a negative equals a postive

what is 7-3+6+x equal ??

Answers

Answer:10+x

Step-by-step explanation:

X=3-6-7
X=-10

Hope that helps!

If the sinø=7/12, what is cosø?

Answers

Answer:

If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]

We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]

Inserting values and finding adjacent:

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]

So, value of Adjacent is [tex]\sqrt{95}[/tex]

Now finding cosФ

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12

[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]

So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

proper fraction

Step-by-step explanation:

PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !

Answers

Answer:

2nd Option

Step-by-step explanation:

What is the solution to the equation?

Answers

Answer:

-63

Step-by-step explanation:

solve for x:x+3.17=12.78

Answers

x=9.61 you subtract 3.17 from 12.78 and get 9.61

1. Fill in the blank: The value of 8 dimes is ___
% of the value of a dollar.
2. Name a combination of coins that is 130% of the value of a dollar.

Answers

Answer:

1. 80%.

2. 2 quarters, 3 dimes, 4 nickels, 30 pennies. (if you don't use pennies make it 6 dimes.)

A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth

Answers

The answer is A. y=-3/4x+1/4

The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required equation of the line would be as:

y - y₁ = m(x - x₁)

Since the line passes through the point (–5, 4) and slope m = -3/4

So substitute the values in the above equation, and we

y - (-5) = (-3/4)(x - 4)

y + 5 = (-3/4)x -  (-3/4)4

y + 5 = (-3/4)x + 3

y = (-3/4)x + 3 - 5

y = (-3/4)x - 2

Thus, the required equation of the line is y = (-3/4)x - 2.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

87% of 70 do not round

Answers

Answer:

60.9

Step-by-step explanation:

Graph the equation.
y-1 = -2(x-2)

Answers

Answer:

y-1 = -2(x-2) graph:

Answer:

Graph is below

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

y-intercept:

(

0

,

5

)

x

y

0

5

5

2

0

HELP PLEASE Can you please give an explication when you answer

The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C

Answers

Answer:

C.   6°C

Step-by-step explanation:

-3°C + 9°C = 6°C

It is possible to get 2 solutions when the system of equations is: (check all that apply)

A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation

Answers

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]

[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]  so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]

so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])

A system of the equation of a parabola and a linear equation

Let equation of Parabola be [tex]y^2 = x[/tex]

and linear equation y = x

substitute

[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]

Y = 0,1

so the two solutions will be (0,0) and (1,1)

In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF

Answers

1) 38 bc of alternate interior angles
2) 38 bc of corresponding angles
3) 142 bc of supplementary angles and alternate exterior angles

Will give brainliest if correct.

Answers

Answer:

y=(-9-2x)/3

Step-by-step explanation:

what is the answer for x?

Answers

Answer:

x=5

Step-by-step explanation:

I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.

Hope this helped you : )

whats 851,708 to the nearest hundred-thousand

Answers

Answer:

900,000

Step-by-step explanation:

because when you round  number from 1-4 you put it down example: 1223

round to nearest thousand it is 1000 but when 5-9 is higher example: 1566 it is 2000

Answer:

900,000

Step-by-step explanation:

Bc The Ten Thousandths place is over 4

Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.

Answers

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

393.3 in 10 years investment

Answers

Step-by-step explanation:

The question is not well structured. We can say;

$393.3 in 10 years investment at rate of 10% is equivalent to what?

Given

Amount invested = $393.3 (principal)

Time = 10years

Rate = 10% (assumed rate)

Required

Amount after 10 years

Amount = Principal + Interest

First we need to get the simple interest using the formula

SI = PRT/100

SI = $393.3 * 10 * 10/100

SI = $393.3*100/100

SI = $393.3

Amount in 10years = $393.3 + $393.3

Amount in 10years = $786.6

Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.

Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.

Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?

Answers

Answer:

11 months

Step-by-step explanation:

Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.

Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.

He needs $550, to the equation is:

50x=550

We need to isolate x, so we divide both sides by 50.

x=11

It will take Nate 11 months to save for the trip.

Answer:

11 months

Step-by-step explanation:

850-300=550

550÷50=11

use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24​

Answers

Step-by-step explanation:

It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.

If you divide 6 by 1/4, you will get 24.

If you divide 4 by 1/6, you will get 24.

How to create 1/4 from 1,3, and 4?

How to create 1/6 from 1,3, and 6?

Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!

So, the answer is 6/[1–3/4]=24.

Among the given numbers you can see that 6*4 gives you 24 but you have to use 1 and 3 .

You can't multiply 1 and 3 in numerator because you won't get 24, and you can't even divide it by 1,3 .

So only way is to get 1 in the denominator which can be obtained by

6/(1–(3/4)

which simplifies to 6/(1/4) = 24

What is the cost of making one burrito? (Remember that costs are negative.) Explain how you found your answer.

Answers

Answer:

it cost 5.99

Step-by-step explanation:

it all depends on the type of burrito

(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8

See image attatched below for the options given

Answers

Answer:

it the first one cause you adding so it 8b plus 2

To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
A 400 milligrams
B 480 milligrams
C 550 milligrams
D 600 milligrams

Answers

Answer:

480 milligrams

Step-by-step explanation:

92 pounds → 320 milligrams

138 pounds → 320/92 x 138 = 480 milligrams

Percentage rate of increase or decrease y = 3500(1.079)

Answers

Answer:

Increase

Step-by-step explanation:

If you multiply the numbers it increases!

Help, Its due in 15 minuets!

Answers

Answer:

All Congruent Angle Pairs

1) ∠1 and ∠3 are congruent **

2) ∠2 and ∠4 are congruent

3) ∠6 and ∠8 are congruent

4) ∠5 and ∠7 are congruent

5) ∠1 and ∠7 are congruent

6) ∠2 and ∠8 are congruent **

7) ∠3 and ∠5 are congruent

8) ∠4 and ∠6 are congruent **

Step-by-step explanation:

1) Vertical pairs

2) Vertical pairs

3) Vertical pairs

4) Vertical pairs

5) Alternate exterior angles

6) Alternate exterior angles

7) Alternate interior angles

8) Alternate interior angles

the pairs are

< 1 and < 3

< 4 and < 5

I think 2 and 8

I need help with this slope problem​

Answers

Answer:

what is it? you did not post the picture

Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025

Answers

its a because .25x4=1.00

Answer:

B. 1/4 and 0.0025

Step-by-step explanation:

Need help will mark brainliest

Answers

0Answer:

1) Exterior Angle Therorem

2) Isosceles Triangle Theorem

Step-by-step explanation:

Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation

Answers

Answer:

5 hours

Step-by-step explanation:

39 - 14 = 25

5 x 5 = 25

14 + 25 = 39

Answer:

5 hours

Step-by-step explanation:

John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.

Start by setting the equation,

            $39.00= $5x + $14.00

Then solve by

1) subtracting 14 from both sides;

39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;

39 -14 = 5x  becomes $25= 5x      (39 -14 =25)

2) divide both sides by 5 to get x alone

25 (/5)=5x (/5) which becomes 25/5=x

3) 25/5 is 5

John must work 5 hours to have enough money to buy his video game.

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