Write an equation for the following real life scenario.
Use "t" to represent your variable.
Jasmine's cell phone company charges her $35 a month for phone service plus 0.50 for each text message. Her
total bill for the month was $51.

Answer:

Peter = 6 kg

Mary = 12 kg

Lucy = 8 kg

Step-by-step explanation:

let us take number of kg's peter took as x

then lets form an expression to find x

let us take mary's chestnuts as = 2x (twice as much as peter)

let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)

so

x + 2x + 2+ x = 26

4x + 2 = 26

4x = 26 - 2

4x = 24

x = 24/4

x = 6

now let us see how much each of them picked while replacing 6 by x

Peter = x

         = 6 kg

Mary = 2x

         = 2(6)

         = 12 kg

Lucy = 2+x

        = 2 + 6

        = 8 kg

now let us cross check to see the answer

6 + 12 + 8

18 + 8

= 26

CROSS-CHECKED

System of Linear Equations entered :

[1] y - 2x/3 = -1

[2] y + x = 4

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 3

// Equations now take the shape:

[1] 3y - 2x = -3

[2] y + x = 4

Graphic Representation of the Equations :

-2x + 3y = -3 x + y = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y + 4

// Plug this in for variable x in equation [1]

[1] 3y - 2•(-y +4) = -3

[1] 5y = 5

// Solve equation [1] for the variable y

[1] 5y = 5

[1] y = 1

// By now we know this much :

y = 1

x = -y+4

// Use the y value to solve for x

x = -(1)+4 = 3

I hope this help you

Answer:

Step-by-step explanation:

(x₁ , y₁) = (6, -4)  &    (x₂ , y₂) =(-1 , -4)

In these two points, there is no change in y-coordinates. So, the line is parallel to x-axis.

Slope of line parallel to x-axis = 0

Answer: i dont know

Step-by-step explanation: 4

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]

Answer:

They are all right

Step-by-step explanation:

all of them are right

Everything is correct except the last one. I have attached the solutions, see them.

Answer:

The fourth option is the answer.

Step-by-step explanation:

Use distance formula

[tex] {x}^{2} + {y}^{2} = {d}^{2} [/tex]

where x is the distance between the two endpoints of the congruent line segment and y is the distance between the congruent line segment.

[tex] {3}^{2} + {6}^{2} = 45[/tex]

Set 45 equal to d^2.

[tex]45 = {d}^{2} [/tex]

[tex] \sqrt{45} = d[/tex]

[tex]3 \sqrt{5} = d[/tex]

L and M have the same distance between points as well. so they are congruent.

Answer: Should be 8 ,,,,,

Answer:

Step-by-step explanation:

well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x.

The answer to that is: X = 8.

40 divided by 5 = 8.

To check we can do 5 x 8 = 40.

X = 8

Answer:

5 5/8 cups of ketchup

Step-by-step explanation:

1 7/8 x 3

15/8 x 3/1 = 45/8

45/8 = 5 5/8

Answer:

Quotient= 70

Remainder=14

Step-by-step explanation:

Do you need explanation?

Answer:

23 goes into 1,624 70 times

Answer:

$270

Step-by-step explanation:

The opening deposit is $150.

Every month receives $10.

In 12 months it gets 12 x $10 = $120 additional money.

So together with the opening deposit at the end of 1 year the account has

$150 + $120 = $270

Answer:

c options is right what is the answer

Answer:

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

2: B*W=A (Answers)

Step-by-step explanation:

A: A meter of rope should cost $0.8 or 80 cents.

B: It should be 1.20 meters.

Answer:

-6

Step-by-step explanation:

[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]

[tex] (-4)² = 4²= 4×4 =16 [/tex]

[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]

[tex] -8 + 16-6= -14 + 16 = 2[/tex]

[tex] - 4( - 8 + 16 - 6) + 2[/tex]

[tex] - 4 \times 2 + 2[/tex]

[tex] - 8 + 2[/tex]

[tex] = - 6[/tex]

Answer:

I love these kind of problems (yes I'm kidding,... lol) your answer is below,...

Step-by-step explanation:

To find the area of the whole shape lets view it as three seprate rectangles,... then we will find the area of the three seperate shapes and add the areas together,... (english scholler voice): "Quite simple really"

For "simplicitys sake" lets view the shape as a house blueprint, no house I would want to live in, but a house non-the-less,... you have the main part of the house (the largest rectangle, the 13yd x 24yd one) the hallway in the middle (the 14yd x 6yd rectangle) and finally the really ridiculous sized I-du-know,... kitchen (the 5yd x 17yd one) Sooo,... lets go,...!

First of all if you didn't follow how I got the three rectangles then it's "quite simple really!" all I did is: take the oppposite side of the very far left side (the one that says 24yd) where is says 7yd and 11yd and because we know that the 7yd + 11yd + the-part-that-we-don't-know-how-long-is, is all = to 24yd then we know that the part that is not labled (the "doorway" from the main part of the house to the hallway) has to be 6yd because 7yd + 11yd + 6yd = 24yd,... AND know we know that that side of the "hallway" is 6yd, so the "hallway" is 6yd x 14yd,... So,...

13yd x 24yd = YES!... 312yd

14yd x 6yd = RIGHT again!... 84yd

5yd x 17yd = YOU are SO LIT,... yes it's 85yd

Alright so we have 312yd and 84yd and 85yd,... all we have to do is add 'em all up and you will have the area of your houseprint,... You got it!

312yd + 84yd + 85yd = (drum roll please,...)  481yd,...

The area of you shape is 481yd,...

So glad to have worked with ye and me thinks that that hopefully helped,...

CHOW,...!

Answer:

The perpendicular bisector meets any line at an angle which is not 90°

Step-by-step explanation:

[tex].[/tex]

Answer:

the perpendicular bisector meets any line at an angle which is not 90°

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

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

Answer:

19

Step-by-step explanation:

zót95zktTkzktzktzltl

[tex]\frac{2x-5}{3}=11 \ \ /\cdot3\\\\2x-5=33 \ \ /+5\\\\2x=38 \ \ /:2\\\\\huge\boxed{x=19}[/tex]

Answer:

m - 4m = 2m

-4 = 2m -m

- 2 = m

Answer:

m = -4

Step-by-step explanation:

Add 4 to both sides of the equation

Simplify

Add the numbers

= 2 + 4

Subtract 2 from both sides of the equation

=2+4

−2=2+4−2

Simplify

Divide both sides of the equation by the same term

Simplify

Answer:

Still C br-uh

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

243÷13=18remainder9

mark me brainliest

Answer:

18

Step-by-step explanation:

243/13

Answer:

32

Step-by-step explanation:

I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32

Answer:

1/8 = 0.125

14/20 = 0.7

2/3 = 0.67

4/5 = 0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The next step is:

This is a distributive property

Correct choice is A

Answer:

Step-by-step explanation:

The slope-intercept form:

Use point (5, -3) and m = -4/5:

The line is:

Answer:

b = 1

Step-by-step explanation:

We know that

y = mx + b

-3 = -4/5 × 5 + b

-3 = -20/5 + b

-3 = -4 + b

-3 + 4 = b

1 = b