For what values of "x" is the inequality 3(x+2)-x<8 true?

x > 1
x < 1
x < 7
x > 7

Answers

Answer 1
Given ↓The inequality 3(x+2)-x<8

To Find ↓Which values of x  make the inequality true

Calculations ↓

We can't determine right off the bat what values of x make this inequality true, so we should solve it first.

First, use the distributive property and distribute 3 :

3(x+2)-x<8

3x+6-x<8

Now subtract 6 on both sides :

3x-x<8-6

3x-x<2

now , subtract the x's :

2x<2

Divide by 2 on both sides :

x<1

So the values of x less than 1 make this inequality true.

Let's try -1 (-1 is less than 1)

Plug it in ↓

3(-1+2)-(-1)<8

3(1)+1<8

3+1<8

4<8

4 is less than 8.

Therefore, the values of x that make this inequality true are indeed less than 1.

hope helpful ~

Answer 2

Answer:

x < 1

Step-by-step explanation:

Expand the brackets: 3 * x = 3x and 3 * 2 = 6

Current inequality: 3x + 6 - x < 8

Collect like x terms: 3x - x = 2x

Current inequality: 2x + 6 < 8

Collect like integer terms: subract 6 from both sides

Current inequality: 2x < 2

Convert 2x to x: divide both sides by 2

Final answer = x < 1

Hope this helps :)


Related Questions

The cone has a height of 6 and a diameter of 3 inches. What is the volume?

Answers

Answer:

14.14

Step-by-step explanation:

We know that to calculate volume of a cone you must do π r^2*h/3

so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14

Work out
(
1.8
×
10

3
)
÷
(
2
×
10

7
)
Give your answer in standard form

Answers

Answer:

1.15

Step-by-step explanation:

(1.8*10-3)/(2*10-7)

(18-3)/(20-7)

15/13

1.15

..................

You decide to update your bathroom. You are going to put new tile in your shower. Your shower has three rectangular walls that need tiled. One wall is 5 feet wide and 8 feet high. The other two walls are each 4 feet wide and 8 feet high. What is the total area that you will need to tile?

Answers

hello! :)

[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]

[tex]\sf{A=8*5}[/tex]

[tex]\sf{A=40~ft^2}[/tex]

[tex]\rule{200}{2}[/tex]

[tex]\sf{A=4*8}[/tex]

[tex]\sf{A=32~ft^2}[/tex]

Now, add the areas:-

[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]

[tex]\sf{A=72+32}[/tex]

[tex]\sf{A=104}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

can someone help me with this question

Answers

b is a answer

Step-by-step explanation:

formula

=a+b/2×h

Answer: 126 mm^2.

Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half.  The steps are done below:

First, we need to find the bases and the height.  The bases are are circled below, but it's basically the top and bottom lengths of the triangle.  Base 1 doesn't have to be 10 either, it can be 18 base 2 can be 10, whichever works for you.  All you need is to assign each base with a top or bottom length.  The height is how tall the trapezoid is, which is also circled below.Secondly, we need to add the bases and multiply the height. B1 is base 1, b2 is base 2, and h is the height.  It should look like this: 10 (b1) + 18(b2) = 28, then 28 x 9(h) = 252.Lastly, we need to divide 252 in half, which you can do in two ways.  You can either simply divide 252 by 2, or multiply 252 by 1/2, which both give you the answer 126 mm^2, which is your answer.

Have a great day! :)

help me please thank you soo much

Answers

The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.

How do you convert fractions to decimals?

Divide the top number or numerator into the bottom number or denominator.

6/100 = 0.065/10 = 0.54/10 = 0.43/4 = 0.7533/100= 0.33

How to organize the numbers?

When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.

Based on this, the correct order is:

33/100 = 0.334/10 = 0.45/10 = 0.56/100 = 0.063/4 = 0.75

Learn more about numbers in: https://brainly.com/question/17429689

solve this nonlinear system of equations.
y=-x^2+6x-5
y=3
step 1: use substitution to combine the equations. Rewrite so that one side is equal to zero.
step 2: factor the equation
step 3: identify the x-values of the solutions.
step 4: identify the solutions to the system.

Answers

Answer:

1. [tex]x^2-6x+8=0[/tex]

2. [tex](x-4)(x-2)=0[/tex]

3. [tex]x=4 \text{ and } x=2[/tex]

4. [tex]x=4 \text{ and } x=2[/tex]

Step-by-step explanation:

1. When using substitution all we do would be is substituse the y for a 3.

This leaves us with the equation:

[tex]3=-x^2+6x-5[/tex]

Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]

or if we shift the 0 to the other side:

[tex]x^2-6x+8=0[/tex]

2. In order to factor the equation we can use the butterfly method:

[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:

[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.

3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]

4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.

plssssss helpppppp meeeeeeeee

Answers

Answer:

A

Step-by-step explanation:

i dk im just desperate because the entire community is offline

I think ITS the first one

If the ratio of the rectangular prisms' volumes is 1:8, what is j?

PLEASE HELP WILL MARK BRAINLIST

Answers

J is equal to 24 ____________________________


Which one is equal to 6 x 10^5
A (3 x 10^8) (2 x 10^-2) or B 600,000,000

Answers

Using scientific notation, it is found that the value that is equals to 6 x 10^5 is given by:

A (3 x 10^8) (2 x 10^-3)

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers are multiplied, we multiply the bases and add the values of the exponents, hence:

[tex](3 \times 10^8) \times (2 \times 10^{-3}) = 6 \times 10^5[/tex]

More can be learned about scientific notation at https://brainly.com/question/16394306

#SPJ1

Pahelp pi pls...:-D

Answers

Step-by-step explanation:

2)D

3)A

4) B

5)C

6)D

7)B

8)B

9)C

10)C

11)A

12)D

p.s Pls at least try to do ur test urself

13) D

help please i been stuck on this question for the last hour im on the verge of tears

Answers

(You should take the full screenshot)

Since no percentages were provided (at least not in the ss), we have to approximate?

The space that parrots and sparrows take up is almost half the circle (we'll say 48-49%)

So, we can convert that to fraction : 48/100 or 49/100


There is 1/2 of the birds seen were either parrots or sparrows.

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Figure shows the birds seen.

Now, We have;

By figure the half of circle is shown either parrots or sparrows.

Hence, The value of fraction of the birds seen were either parrots or sparrows is,

⇒ 1/2 of 100%

⇒ 1/2 × 100/100

⇒ 1/2

Therefore,  The value of fraction of the birds seen were either parrots or sparrows is, 1/2

Learn more about the rational numbers visit:

https://brainly.com/question/12088221

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Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..

Answers

Answer:

24

Step-by-step explanation:

you slove the sides and find x

Answer:

x=40 m∠A=100° m∠B=80° m∠C=65°

Step-by-step explanation:

Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)

Step 2: m∠A + m∠B = 180°

So, (3x-20)° + (2x)° = 180°

Step 3: Solve for x (x=40)

Step 4: Plug in x to the angles

m∠A=  3(40) - 20

m∠B=  2(40)

m∠C=  2(40)-15

What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)

Answers

Answer:

7

Step-by-step explanation:

Given expression:

6x³y + 8x² + 5x + 7

The constant is a term that has no variables. Let's verify the terms in the expression to determine which term is the constant.

Determining if 6x³y is a constant:

This term is not a constant because the term includes two variables (x and y).

Determining if 8x² is a constant:

This term is not a constant because the term includes a variable (x).

Determining if 5x is a constant:

This term is not a constant because the term includes a variable (x).

Determining if 7 is a constant:

This term is a constant because the term has no variables.

Learn more about constants: https://brainly.com/question/11977365

Answer:

7

Step-by-step explanation:

The constant term in an expression is the term without a variable.

The variables in this expression are x and y, so the constant term is 7 as this term does not have a variable.

GRADE 9 maths! due tonight please help!!

Answers

Answer:

Step-by-step explanation:

If £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years

Answers

Answer:

£2121.8

Step-by-step explanation:

2000 X 1.03 X 1.03 = 2121.8

Which of the following statements is no True?
A) the square root of 112 is between 10 and 11
B) the square root of 180 is between 13 and 14
C) the square root of 12 is between 4 and 5
D) the square root of 5 is between 2 and 3

Answers

Answer:

correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11

Step-by-step explanation:

help me plsssssssssss

Answers

Answer:

Sin 21 = p/b

0.358 = 5.5 / x

x = 5.5 / 0.358

therefore , x = 6.97

Step-by-step explanation:

Use sin formula

which is perpendicular/ base

just put the value

8/15 as a decimal rounded to the nearest hundreth

Answers

Answer:

0.53

Step-by-step explanation:

A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.

8÷15 = 0.5333333...

Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.

8/15 ~= 0.53

Select all the expressions that are equivalent to 4 ^ - 3

Answers

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Why do you replace y with 0 when finding the x-intercept of a graph?

Answers

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6

Determine the current temperature in degrees Celsius if the current temperature is 89 degrees Fahrenheit in Alberta, Canada. Round the final answer to the nearest whole number. (1 point)
32
56
98
103

Answers

Answer:

32 C

Step-by-step explanation:

According to celsius conversion formula:

C = 5/9*(F-32)

= 5/9*(89-32)

= 5/9*57

Hence, C = 31.666

Rounding it off to the nearest whole number, the answer is 32 C.

Write an expression that I’d equivalent to 1/2a - 4. URGENT, LIMITED TIME.

Answers

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

The problem is the screenshot

Answers

Answer: 0 5 10

Step-by-step explanation:

y = 5(0)

y = 0

y = 5(1)

y = 5

y = 5(2)

y = 10

A brand new vehicle costs $25,399. It decreases in value by 8.5% each year after its purchase.

Which function models the value of the vehicle in dollars x years after its purchase?


f(x)=1.085(25,399)x

f(x)=0.915(25,399)x

f(x)=25,399(0.915)x

f(x)=25,399(1.085)x

Answers

The cost after x years is the initial cost minus the amount of decrease after the duration of x years

Percentage Decrease

Given Data

Initial Cost of vehicle = $25,399Rate of decrease = 8.5%Duration = yearly

Let us find 8.5% of $25,399

= 8.5/100*$25,399

= 0.085*25399

= 2158.915

Cost after x years will be

Final cost = 25,399 - 2158.915*x

Learn more about percent decrease here:

https://brainly.com/question/24304697

What is an angle that is supplementary to
I’m so close to being done with this so please help

Answers

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

what does T equal to?

Answers

Answer:

4/3

Step-by-step explanation:

t^3=64/27

=4^3/3^3

=index same

t =4/3

Answer:

4/3)

Step-by-step explanation:

t- 3= 64/27

= 4-3/3-3

= index  same

t = 4/3

Factor the polynomials completely, then solve 48x² - 75 = 0​

Answers

Answer:

[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]

Step-by-step explanation:

48 = 3 × 16

75 = 3 × 25

_________

Then, a Complete factorization of 48x² - 75 is :

[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]

_____________________

Now let’s solve our equation 48x² - 75 = 0

48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0

[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]

A bag of apples weighs 6 2/7 pounds . A crate of bananas is 4 times as heavy as the apples. How much heavier are the bananas than the apples

Answers

18.87 lbs heavier
Work:
6.29 = apple weight
6.29•4=25.16
25.16 = banana weight
25.16-6.29=18.87
18.87 is the difference between the apples and bananas so therefore is how much heavier the bananas are

Call the weight of the bag of apples as x (x = 6 2/7)

Since the crate of bananas is 4 times as heavy as the apples -> the crate of bananas = 4x

So, to find the weight difference, we minus those : 4x - x = 3x

Now we convert this : 3x = 3 x 6 2/7 = 132/7

Convert to :
Mixed : 18 6/7
Decimals (3 d.p) : 18.857...

You are considering the two different car loans.

Using the payment table, which loan has the lowest monthly payment?

Answers

Answer: Choice A

Loan A has the lower monthly payment

=========================================================

Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

------------------

Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

--------------------

To summarize, we have these monthly payments

loan A monthly payment =  $348.50loan B monthly payment =  $518.02

Loan A has the lower monthly payment

The graph of trapezoid ABCD has coordinates A(–2,–2), B(–3,–4), C(2,–4), D(1,–2)

Answers

Answer:

Can I have a picture of the Graph please?

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