Solve the compound inequality. −5x≤−10 or 7x−21≥14

Answers

Answer 1

-5x ≤ -10

Divide both sides by -5

x ≥ 2

7x - 21 ≥ 14

Add 21 to both sides

7x ≥ 35

Divide both sides by 7

x ≥ 5


Related Questions

Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20

Answers

Answer:

0

Step-by-step explanation:

20 cancels itself out so

-4x = x

-4x - x = 0

-5x = 0

divide both sides by -5x

x= 0 but we don't write it out

For the equation -4x+20 to have infinite solution , it should be equal to

-4x+20 = -4x+20 , so the blank value is -4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4x+20 = blank x + 20

Now ,

If the lines are coincident and have the same y-intercept, an endless solution can be generated.

The two lines with the same y-intercept and slope are the same line.

If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.

So , Both the equations should be equal for it to have infinite solutions

Therefore , -4x+20 = -4x+20

Hence , the value of the blank is -4

To learn more about equations click :

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half a number decreased by three is equal to 38 less than four times the number

Answers

Answer:

10

Step-by-step explanation:

let the unknown number be x

so half of x decreased by 3 is

1/2x -3

It is equal to 38 less than 4 times the number which is x; 4x-37

THEREFORE;

½x-3 =4x -38

x-6/2 = 4x-38

cross-multiply

x-6 =8x -76

x-8x = -76+6

-7x = -70

Divide both sides by -7

So x =10

solve this equation 3/10x-4=40-2x

Answers

I Am Pretty Sure The Answer Is x=440/23

Hope This Help's

How can parallel lines be used to compare figure E and F? Explain your reasoning.

Answers

When the e and f are displayed

Find the value of x that will make L || M

Answers

Answer:

The value of x = 7 to make lines L and M parallel.

Resolved

1. 2(y+4) +4 (2y+2)



Answers

Answer:

10y+16

Step-by-step explanation:

Distribute and combine like terms

please tell me what x is 3(x+6)=48

Answers

Answer

X=10

Step by step explanation

48÷3 = 16

16-6 = 10

The price to mail a letter at the post office is $0.49 for the first ounce

and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter.

How much did the letter weigh?

Answers

The letter weighted 7 ounces

if 18 more than twice a number is -10,what is the number?​

Answers

Answer:

-14

Step-by-step explanation:

Let the number be x

[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]

2x + 18= -10
2x. -18= -10 -18
2x= -28
X=-14

6. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 7. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

6a

    [tex]V(3) =  113.112[/tex]

6b

     [tex]V(\frac{3}{2})  = 14.139  [/tex]

6c

   [tex]V(2r) =  33.514r^3[/tex]

7a

  [tex] h(5) = 0 [/tex]

7b

    [tex] h(t) = -5.76 [/tex]

7c

[tex] h(x+5) = x(x+5)[/tex]

Step-by-step explanation:

Considering the question 6

The function given is [tex]V(r) = \frac{4}{3} \pi r^3[/tex]

For  V(3) we have  

        [tex]V(3) =  \frac{4}{3} \pi 3^3[/tex]

       [tex]V(3) =  \frac{4}{3} * 3.142 * 3^3[/tex]

       [tex]V(3) =  113.112[/tex]

For  [tex]V(\frac{3}{2})[/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} *  \pi *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} * 3.142 *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  = 14.139  [/tex]

For   V(2r)

            [tex]V(2r) =  \frac{4}{3} \pi (2r)^3[/tex]

           [tex]V(2r) =  \frac{4}{3} * 3.142*8r^3[/tex]

           [tex]V(2r) =  33.514r^3[/tex]

Considering the question 7

     The function given is  [tex] h(t) = t^2 - 5t [/tex]

For  h(5)

          [tex] h(5) = 5^2 - 5(5) [/tex]    

           [tex] h(5) = 0 [/tex]  

For  h(1.8)

            [tex] h(t) = 1.8^2 - 5(1.8) [/tex]

            [tex] h(t) = -5.76 [/tex]

For  h(x+ 5)

              [tex] h(x+5) = (x+5)^2 - 5(x+5) [/tex]

               [tex] h(x+5) = x^2 + 25+10x-5x-25[/tex]

             [tex] h(x+5) = x(x+5)[/tex]

Find the slope
x+3=0

Answers

Answer: undefined

You would subtract 3 from both sides to get x= -3 which would be a vertical line meaning it has no slope

pleaseeeeeeee help me

Answers

Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

does 3 times 9.99 give me 29.97?

Answers

Answer:

Yes it does.

Step-by-step explanation:

Answer:Simple and best practice solution for 9.99 is what percent of 29.97. Check how easy it is, ... 100=3*x - we divide both sides of the equation by (3) to get x 100/3=xno it does not

Step-by-step explanation:

Can someone solve this ASAP!!! pls thx​

Answers

Answer: just add givento number 1 and your all done bro

Step-by-step explanation:

The store charges $1.95 for a pack of 5 pens. What is the individual price per pen ?
A - .50
B- $1.95
C- $2.56
D- .39
does anyone know or can explain ?

Answers

The answer is D, 1.95 divided by 5 equals 0.39.

what is

-4|5+m|
[tex]m = - 3[/tex]

Answers

Steps to solve:

-4|5 + m|

~Substitute

-4|5 - 3|

~Simplify

-4|2|

~Multiply

-8

Best of Luck!

10 times 1200000000000000

Answers

Answer:

1.2e+16

hope it helps :)

At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?

Answers

Answer:

$5 and $3

Step-by-step explanation:

Cost of banana split = b

Cost of hot fudge sundae = s

b + 2s = 114b + 3s = 29

From the first equation we get:

b = 11 - 2s

Replacing in the second equation:

4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3

Then

b = 11 - 2*3 = 11 - 6 = 5

So banana split costs $5 and hot fudge sundae costs $3

∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 10 ) ∘ ∠A=(2x−10) ∘ and m ∠ B = ( x − 2 ) ∘ ∠B=(x−2) ∘ , then find the measure of ∠ A ∠A.

Answers

Answer:

Angle A = 58 degrees

Angle B = 32 degrees

Step-by-step explanation:

First of all, we will need to know that complementary angles are angles that sum up to 90 degrees.

This means that if we add the values of angle A and angle B, they will both sum up to 90 degrees.

i.e (2x-10) + (x-2) = 90

3x -12 = 90

3x = 102

x = 34 degrees

We can substitute this value of x into the equations for angles A and B

A = (2 X (34) - 10 ) = 58 degrees

B =  ( 34 - 2) = 32 degrees

Therefore, angles A and B are 54 and 32 degrees respectively.

Check: We can add the two angles to see if we get 90 degrees. 58 + 32 = 90 degrees. This shows that the two angles are complementary and our answer is correct.

Find the value of each variable (x in this case)

Answers

2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.

2x + 4x + 108 = 180

Combine like terms

6x + 108 = 180

Subtract 108 from both sides.

6x = 72

Divide both sides by 6

x = 12

What value of x makes the equation true?
147 = 5(1 - 7x) + 2

Answers

Answer: X = -4

Step-by-step explanation:

first you need to solve, so do what needs to be done in the equation, which is just multiply and add

147 = 5 - 35x + 2

147= 7 -35x

get rid of the numbers around x, which would be subtracting 7 from both sides

140 = -35x

x = -4

Hi, I need help answering 7x+5x+1=73 and I keep getting it wrong. HELP!!

Answers

Answer:

x = 6

Step-by-step explanation:

7x+5x+1=73

12x+1=73

12x=72

x= 6

PLEASE HELP ITS EASY suppose you are converting x kilograms to ounces. will the number of oz be less than or greater than x?

Answers

Answer:

greater

Step-by-step explanation:

greater beacause 1 kilo =35.274 ounce

Find the distance between the two points. (round to the nearest hundredths)



distance:

Answers

Answer:

d = 5.10

Step-by-step explanation:

The distance between two points is given by

d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 )  where ( x1,y1) and ( x2,y2) are the two points

d = sqrt( ( 5-6)^2 + (8-3)^2 )  

d = sqrt( ( -1)^2 + (5)^2 )  

d = sqrt(  1+25)

d = sqrt(26)

d = 5.099019514

Rounding to the nearest hundredth

d = 5.10

Answer:

[tex]d=\sqrt{26}\approx5.10[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We can see that Point R is at (3,6), and Point E is at (8,5).

Let's let (3,6) be (x₁, y₁) and let's let (8,5) be (x₂, y₂). So, substituting them into our formula, we'll get:

[tex]d=\sqrt{(8-3)^2+(5-6)^2[/tex]

Subtract:

[tex]d=\sqrt{(5)^2+(-1)^2[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}[/tex]

Approximate. Use a calculator:

[tex]d=\sqrt{26}\approx5.10[/tex]

So, the distance between RE is approximately 5.1 units.

And we're done!

Taki's are originally $3.25 a bag. You have a 25% off coupon. What
is the final price of the Takis?

Answers

Answer:

3.25 * .75 = $2.44

Step-by-step explanation:

Answer:

Your answer should be $2.44 or around there

Step-by-step explanation:

give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?​

Answers

Answer:

0

Step-by-step explanation:

Find the height of triangle whose are is 1500m2 and base 7.5 cm

Answers

Answer:

x = 400 m^2

Step-by-step explanation:

[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]

-3 - 3x = -4(2x + 7)

Answers

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Write -2.32 as a mixed number in simplest form.

Answers

Answer:

- 2 8/25

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)

Answer:

-2.32 as a mixed number is -2 32/100 = -2 8/25

If the measures of the angles in the following triangle were listed in increasing order, which measure would be second? (2x+24) ° (4x+43) ° (x^2+1) °

Answers

Answer:

x²+1 is the second

Step-by-step explanation:

2x+24=40°

4x+43=75°

x²+1=65°

(2x+24) + (4x +43) + (x²+1)=180

x²+6x+68=180

x1=-14

x2=8

since there's no negative angle, we'll use x=8

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