Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answer:

x = 25, y = 28

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 22 and

a₄ = a₁ + 3d = 31 , that is

22 + 3d = 31 ( subtract 22 from both sides )

3d = 9 ( divide both sides by 3 )

d = 3

Thus

x = 22 + 3 = 25

y = 25 + 3 = 28

Answer:

2.5

Step-by-step explanation:

because you can tell by the numbers and how close they are then u have to divide

Answer:

(Answer

Step-by-step explanation:

deleted)

Answer:

unit rate= 4-kilometers/minute   expected time= 56 minutes

Step-by-step explanation:

14 kilometers x 4 kilo/minute = 56 minutes

Answer:

b.11

Step-by-step explanation:

3x+2+70=9x+6

put your like terms on one side:

9x-3x=70+2-6

6x=66

divide both sides by 6

x=11

Answer:

The answer above is correct

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation

Answer:hope it helps,

Step-by-step explanation:

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

Hence the slope of the line is -½.

Answer:

3.75 or 3[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.

Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+

Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].

Answer:

10$

Step-by-step explanation:

Answer:

Circumference of the circle = 17.8 units

Area of the circle = 25.1 square unit

Step-by-step explanation:

Formula to get the circumference of a circle = 2πr

Where r = radius of the circle

Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)

r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]

r = [tex]2\sqrt{2}[/tex] units

Therefore, circumference = 2π(2√2)

                                           = 17.77

                                           ≈ 17.8 units

Area of the circle = πr²

                             = π(2√2)²

                             = 8π

                             = 25.13

                             ≈ 25.1 square unit

Answer:2 5/42 or 89/42

Step-by-step explanation:

Answer:

30% on Monday 46% on Tuesday

Step-by-step explanation:

Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't  half because half of 13 is 6.5

Answer:

if you round, its 99. if you ignore the decimal, its 98

Step-by-step explanation:

2/3 of 148 is 98.66

Answer:

Ues the site called quetext is helps

Step-by-step explanation:

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.

If an exponent acts on single term in parentheses, we can distribute the exponent over the term.

(2a)^4

=2^4.a^4

The value of 2^4 is 16, because 2^4=2*2*2*2=16.

=16a^4.

Therefore by distributive property of exponents (2a)^4 = 16a^4.

To learn more on distributive property click:

https://brainly.com/question/5637942.

#SPJ2

Answer:

Step-by-step explanation: 40 newtons to the right

Answer: $10.7

Step-by-step explanation:

The following can be deduced from the question:

Total cost of items = $130

Percentage of Sales tax = 8.25%

Sales tax = Sales tax percent × Cost

Sales tax = 8.25% × $130

Sales tax = 8.25/100 × $130

= 0.0825 × $130

= $10.725

= $10.7

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.

Answer:

upside down so i might be wrong but the ratio is 3/2

Step-by-step explanation:

3:2 milk to ice cream

other ratios would be

6:4 9:6 12:4 15:5

(the question is slightly confusing but I think this is what they are asking for. )

Answer:1180,740

Step-by-step explanation:

2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.

400+300+40=740 this is the cost for only going there and not coming back.

Answer:

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

Answer:

1.)47.022

2.)8.032

3.)2.436

4.)61.92

Step-by-step explanation:

Answer:

17/2 = 8.5

1 inch = 8.5 feet

51/8.5 = 6 inches

Step-by-step explanation:

HI :)

Answer:

51 divided by 17 = the answer

Step-by-step explanation:

if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

Answer:

10 apples

Step-by-step explanation:

141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag

we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag

Answer:

b isnt a fuction

Step-by-step explanation:

Answer:B

Step-by-step explanation: