Which of the following is the solution to lx-13 k 18 ?
A. x < 31
B. x < 31 and x > -5
C. X<31 and x < -5
D. X<31 or x > -5

Answer:

Q4. a) 2000 cm³

b) 0.982 cm³ (3 s.f.)

c) 183 cm³ (3s.f.)

d) 2196 cm³

e) 2380 cm³

Q5. 8376 handles

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

first

area of rectangle = l*b

                         =     (3x-y+4) ( X+7)

                       = 3x²-xy + 4x+21x-7y+28

                       = 3x²-xy +25x-7y +28

Area of square = l²

                        = (x-2)²= x²- 4x +4

area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)

                                     =2x²-xy +29x-7y+24

Step-by-step explanation:

Answer:

sometime

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

Answer:

= 6

Step-by-step explanation:

7 x 1 - 4 x 1/4

7 - 4 x 1/4

7 - 1

= 6

hope this helps

Answer:8:3

Step-by-step explanation:

there are 5 paper back and 3 hardcover

the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3

Answer:

D; 21

Step-by-step explanation:

Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are shown below.

Answer: y=K/5z

Step-by-step explanation:

To solve for y, you need to use algebraic properties to isolate y.

K=5yz            [divide both sides by 5z]

K/5z=y

y=K/5z

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

It will take Ari 120 seconds to jog 270 meters.

To find the time it will take Ari to jog 270 meters at an average rate of 2.25 meters per second, we can use the formula:

Time = Distance / Rate

where:

Distance = 270 meters

Rate = 2.25 meters per second

Time = 270 meters / 2.25 meters per second

Time = 120 seconds

Therefore, it will take Ari 120 seconds to jog 270 meters.

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Answer:

principal (p) = 2400

Amount (A) =2646

time (t) = 2 years

Interest = A-p

           =2646-2400=246

T = I * 100/(P*T)

  = 246*100/(2400 *2) = 5.125%

Step-by-step explanation:

The rate of interest will be 5.125% for the given data.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that the sum of rs 2400 compounded to rs 2646 in 2 years. The compound interest will be calculated as,

principal (p) = 2400

Amount (A) =2646

time (t) = 2 years

Interest = A-p

=2646-2400=246

T = I x  100/(P x T)

T = ( 246 x 100) / (2400  x 2)

T = 5.125%

Hence, the interest rate will be %5.125.

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Answer:

I don't get it

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(2x−4)=4x

(−2)(2x)+(−2)(−4)=4x(Distribute)

−4x+8=4x

Step 2: Subtract 4x from both sides.

−4x+8−4x=4x−4x

−8x+8=0

Step 3: Subtract 8 from both sides.

−8x+8−8=0−8

−8x=−8

Step 4: Divide both sides by -8.

Answer:

the answer is A

Step-by-step explanation:

those who want to save money and will only use product for a few years

Answer:

those who want to save money  an will use the product for only a few years

Step-by-step explanation:

i took a test on edge 2020!!!

Answer:

6x - 7 = 6(x + 4)

Step-by-step explanation:

The value of the number (n) is -7.

Let a number we want to find be n.

Hence, according to the given condition, the equation will be:

⇒ 6n - 7 = -49

⇒ 6n = -42

Dividing both sides by 6, we get:

⇒ n = -7

Therefore, the number that satisfy the algebraic expression is n = -7.

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Answer:

[tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Step-by-step explanation:

[tex](\frac{3x}{4}-\frac{5}{8})+(\frac{x}{8}+\frac{3}{5})[/tex]

By combining the like terms,

= [tex](\frac{3x}{4}+\frac{x}{8})+(\frac{3}{5}-\frac{5}{8})[/tex]

= [tex](\frac{6x}{8}+\frac{x}{8})+(\frac{3}{5}\times \frac{8}{8}-\frac{5}{8}\times \frac{5}{5} )[/tex]

= [tex]\frac{7x}{8}+(\frac{24}{40}-\frac{25}{40})[/tex]

= [tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Therefore, by solving the given expression we find the answer as [tex]\frac{7x}{8}-\frac{1}{40}[/tex].

Answer:

Step-by-step explanation:

Remove the brackets

3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7  

Combine

3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7

3x^3 17x^2 +6x - 7

Answer:

The car is 13 years old

Step-by-step explanation:

Lets say Car is x and the Truck is y, so the trucks age = x + 3 = y

    Lets find the value of the Car or x

x + 3 = 1/2(x + 7)------- >

first we will divide x by 1/2 and 7 by 1/2, So...

x + 3 = (x / 1/2 + 7 / 1/2)------- >

x + 3 = 1/2x + 3.5------->

next Isolate variable x,

x + 1/2x = 3 + 3.5

1/2x = 6.5, So...

x = 13 and in turn, y = 13 + 3

:)

Answer:

5 5

Step-by-step explanation:

the second five is small five

Answer:

33.32 m squared

Step-by-step explanation:

34 divided by 20 equal 1.7

19.6 times 1.7 equal 33.32

hope this helps you;)

pls Mark brainlest :)

Answer:

120 ways

Step-by-step explanation:

In the scenario described, there are 120 ways that 5 people can sit around a round table.

Answer:

A triangle is a three sided figure.

Explanation:

A triangle is a polygon with three sides.

Answer:

f(x) = expression

f(2) = 14 means that your x-value is 2. when you plug in 2 for x, you get 14 as y.

Answer:

D = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]

Step-by-step explanation:

-12 = 5x

5x = -12

x = -12/5

x = -2.4

Answer:

f(x) = x² + 5 / x - 5

There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.

If transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

Coordinate systems are used to describe the (linear) position of points and the angular position of axes, planes, and rigid bodies.

A transversal is a line, ray, or line segment that intersects other lines, rays, or line segments on a plane at different intersecting points.

Congruent angles are two or more angles that are identical to each other.

The angle ∠2 measure is equal  to ∠3.

∠2 measure is equal  to ∠6.

∠6 measure is equal  to ∠5.

The measures ∠3, ∠5 and ∠6 are equal to the measure of ∠2.

∠3, ∠5 and ∠6 are congruent to  ∠2

Hence, if transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

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Answer:

2x² +x + 3

Step-by-step explanation:

3x²-2x+4x-x²+3-x

Like terms:

3x² - x² = 2x²

-2x + 4x -x =x

3

2x² + x + 3

Hey there!☺

[tex]Answer:\boxed{3y+2}[/tex]

[tex]Explanation:[/tex]

[tex]3y+2[/tex]

Since there are no like terms and it can't be factored the answer is:

[tex]3y+2[/tex]

Hope this helps!