1. (3x + 7) + (8x + 2)

Answer:

25.5 and 1.5

Step-by-step explanation:

AC = 12 cm

BC = 13.5 cm

12 + 13.5 = 25.5 cm

13.5 - 12 = 1.5 cm

The possible length of segment AC is 25.5 cm and 1.5 cm.

A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

For the given situation,

The points A, B, and C lie on a line.

Length AB = 12 cm

BC = 13.5 cm

The possible length of segment AC can be found by adding and subtracting the lengths of AB and BC.

a) Length of AC = [tex]13.5+12[/tex]

⇒ [tex]25.5[/tex] cm

b)  Length of AC = [tex]13.5-12[/tex]

⇒ [tex]1.5[/tex] cm

Hence we can conclude that the possible length of segment AC is 25.5 cm and 1.5 cm.

Learn more about line segment here

https://brainly.com/question/25727583

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Answer:55

Step-by-step explanation:

(1). Toyota Prius: The total distance the car can travel in miles (M) given any gallons of gas (g) is M = 35g *How much gas is used per mile?

(2)Toyota Sienna: Used 2.5 gallons to travel 55 miles *How much gas is used per mile?

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

Answer:

120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210

Step-by-step explanation:

120 +10w = 75 + 15w

120-75= - 10w+15w

45=5w

45/5=9

9 weeks

120 + 90 = 75 + 135

210= 210

Answer:

Hope this helps...if it dosent, sorry

Step-by-step explanation:

Answer:

the correct answer is 2

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

because it says: if m < 11 = *118*

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]

= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

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

Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

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

Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.

Answer:

y < -11/20

Step-by-step explanation:

4y+8 < -16y -3

Add 16y to each side

4y+16y+8 < -16y+16y -3

20y +8< -3

Subtract 8 from each side

20y+8-8 < -3-8

20y < -11

Divide each side by 20

20y/20 < -11/20

y < -11/20

Answer:

B

Step-by-step explanation:\

The answer must be a negative to transform the answer in parenthesis to a positive (negative times negative = positive) and for B anything less than -11/20 works such as -1, or -4

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

M.C.M=

[tex] \bf \textcolor{red}{ \huge{48}}[/tex]

3-16-2|2

3-8-1 |2

3-4-1 |2

3-2-1 |2

3-1-1 |3

1-1-1

2⁴•3

M.C.M=

2•2=4

2•2=4

4•4=16

16•3=48

[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]

Answer:

A) Three times x to the second power added to two times y which is added to a half.

B) Six times x plus two multiplied by y added to one by two

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

Step-by-step explanation:

step one:

let y be the amount of the gift card

and let x be the number of cups of coffee bought

given that Audrey bought 2 cups x=2

y-2.50x=45

step two:

substitute x= 2 in the expression we have

y-2.5(2)=45

y-5=45

solving for y

y=45+5

y=$50

the expression is y-2.50x=45

the gift card is worth $50

Answer:

241 = f - 364

Step-by-step explanation:

Answer:

x=1 1/4 (1.25), y=1/4

Step-by-step explanation:

Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".

1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.

y=x-1 (add 1 to both sides)

y+1=x x=y+1

2. Plug our newly rearranged equation into -4x+3=-2.

-4(y+1)+3=-2

-4y-4+3=-2 (distributive property)

3. Add/subtract like terms.

-4y-1=-2

4. Get y to be by itself.

-4y=-1 (add 1 to both sides)

y=1/4

1. Now for y=x-1. Plug 1/4 into y.

1/4=x-1

1 1/4=x

Answer:

h=8

Step-by-step explanation:

open the brackets

then, 5h - 15= 25

h=(25+15)/5

h=8

Answer:

h = 8

Step-by-step explanation:

Hi there !

5(h - 3) = 25

5h - 15 = 25

5h = 25 + 15

5h = 40

h = 40 : 5

h = 8

Good luck !

Answer:

Second from top

  f(x) = 25(5)ˣ

Step-by-step explanation:

Spot check:

x = 2, f(x) = 625

 f(x) = 25(5)ˣ

 f(x) = 25(5)² = 25(25) = 625

x = -1, f(x) = 5

 f(x) = 25(5)ˣ

 f(x) = 25(5)⁻¹ = 25(0.2) = 5

Answer:

nothing in the first blank -3 in the second blank and +2 in the last blank or just 2.

Step-by-step explanation:

Answer:

Y=-2/5x

Step-by-step explanation:

Y-int: (0,0)

x-int:(-2,5)

Answer:

I hope this is what you were needing the answer to!

5914 1404 393

Answer:

  f(1) = g(1) = 3

  f(6) = g(6) = 23

Step-by-step explanation:

Perhaps you want to know the solutions to ...

  f(x) = g(x)

Substituting the function definitions, this is ...

  4x -1 = x^2 -3x +5

  0 = x^2 -7x +6 . . . subtract 4x-1

  0 = (x -6)(x -1) . . . factor the equation

Solutions are x = 1 and x = 6, the values that make the factors zero.

The corresponding function values are ...

  f(1) = 4(1) -1 = 3

  f(6) = 4(6) -1 = 23

Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).

to find the rate first we divide the number of students by the number if classes as follows 207 ÷ 9 = 23 student in each class Then we multiply this rate by the number of classes to get 23 students × 6 classes = 138 students in 6 classes

Answer:

x≥13

Step-by-step explanation:

add 9 to both sides

2x≥26

divide both sides by 2

x≥13

Answer:

x= -2

Step-by-step explanation:

x = -5 is a vertical line, so a line parallel would also have to be a vertical line

It goes through the point ( -2,6)

The x coordinate -2

So a line parallel would be x= -2

Answer:

x= -2

Step-by-step explanation:

Answer:

c

bc u have to multiple 4 three times if u do b then it’s going to be wrong

Step-by-step explanation:

Answer:

c

bc u have to multiple 4 three times if u do b then it’s going to be wrong

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Use the Vertical Line Test

Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.

So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.

Answer: 558^2

Step-by-step explanation: ( A= a+b/2 x h)

A= 28+34/2 x 18 = 558

hopefully this helps

Answer:

The first bank with the four letter code has the grater probability of me guessing the code.

Step-by-step explanation:

To break the code for the first bank which uses four letters, since there are 26 letters in the alphabet, and require a four letter code, the first letter can be any of the 26 letters. Since one letter has been taken, we are left with 25 letters for the second position, 24 for the third position and 24 for the fourth position.

So, the total number of ways of selecting the 4 letter code without repetition is ²⁶P₄ = 26 × 25 × 24 × 23 = 358800

Since we have only 1 correct code, this is our required outcome. So,  the probability of breaking the code is P = required outcome/total outcome = 1/358800 = 2.787 × 10⁻⁶

To break the code for the second bank which uses 6 digits with repetition, since there are 10 digits, and we require a 6 digit code, each digit can be filled with 10 digits each. Since there is repetition, the total number of ways we can select the 6 digits is (¹⁰P₁)⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 10⁶.

Since there is going to be only 1 correct code, the number of ways of selecting the correct code is 1.

The probability P' of cracking the second bank code is P' = required outcome/total outcome = 1/10⁶ = 1 × 10⁻⁶

Since P = 2.787 × 10⁻⁶ > P' =  1 × 10⁻⁶, the first bank with the four letter code has the grater probability of me guessing the code.

Answer:

Mia is incorrect. 32% of the students say climbing trees is their favorite.

Step-by-step explanation:

Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100

Number of students that chose climbing trees = 8

Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25

Therefore,

% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].

Mia is wrong.

32% say climbing trees is their favorite. NOT 40%.