Mary and Jane went on a tour together. Mary brought twice as much money as Jane. After Mary had spent $800 and Jane had spent $240, they had equal amount of money left. How much money did Mary have at first?

Answers

Answer 1

Answer:

Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> [tex]\left \{ {{x=2y} \atop {x-800=y-240}} \right.[/tex]

=> x=1120

y=560

Answer 2

Answer:

Mary had $1,120

Step-by-step explanation:

Let the amount mary and jane had be 2x and x respectively.

Let the equal amount be y:

[tex]mary \: (y = 2x - 800) \\ jane \: (y = x - 240)[/tex]

Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:

[tex]y = 2x - 800 \\ 2y = 2x - 480[/tex]

Subtract the second equation from the first equation:

[tex] - y = - 320 \\ y = 320[/tex]

$320 was their equal amount.

Substitute 320 for y in any equation:

[tex]y = x - 240 \\ 320 = x - 240 \\ x = 320 + 240 \\ x = 560 \\ \\ 2x = 1120[/tex]

Therefore, Jane had $560 at first and Mary had $1120 at first.


Related Questions

Help help help help help help math

Answers

Answer:

55

Step-by-step explanation:

Area=LxW

so, Area=11x5

=55

Answeri think its 55

Step-by-step explanation:

you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff

Question 1 The diagram below shows the straight line joining points A and B. YA A(-1,6) 0 х B (3,-2) Find the equation of the line AB. Give the equation in its simplest form.​

Answers

Answer:

y+2x=4

Step-by-step explanation:

use the formula of equation of line

The equation of line is y= 4 - 2x.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given co- ordinates:

A(-1,6) and B (3,-2)

slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]

slope = ( -2 - 6)/ ( 3 -(-1))

slope = (-8) / (4)

slope = -2

Now, the equation of line

([tex]y-y_1) = m (x - x_1)[/tex]

(y- 6) = (-2)(x - (-1))

y-6 = (-2)(x + 1)

y-6 = -2x -2

y= 4 - 2x

Hence, the equation of line is y= 4 - 2x.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

What is the measure of m? n 20 m 5 m.

m = 5 V Give your answer in simplest form. Enter​

Answers

Answer:

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

Step-by-step explanation:

To find the measure  of m we use the following Euclidian theorem:

m^2 = 5*(5+20)

m^2 = 125 find the root for both sides

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

What is the slope of the line that passes
through (7,3) and (-2,4)?
O 7
02
- 9
0-
OS

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's calculate the slope ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ - 1}{9} [/tex]

That's the required slope, I hope it helps~

What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.

Answers

Answer:

1•7

Step-by-step explanation:

Answer Accorfing ti te pasaje we no get:

Find the vertex of this parabola:
y = -x2 - 4x - 2

Answers

Hello!

[tex]===============================[/tex]

In order to find the vertex of a parabola, we use the following formula:

[tex]\bold{\displaystyle\frac{-b}{2a} }}[/tex]

Remember, a parabola looks like so:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

[tex]\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}[/tex]

Simplify:

[tex]\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}[/tex]

Divide:

[tex]\hookrightarrow\sf{-2}[/tex]

[tex]===================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:

[tex]\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}[/tex]

Raul threw a football 48 yards. Then, he
threw the ball another 46 yards. Finally, he
threw it another 50 yards. How many
FEET did he throw the ball. (hint: convert
yards to feet)

Answers

Answer:

432 ft.

Step-by-step explanation:

Add up the yards he threw the ball, which is 144 yards, and then convert it to feet (1 yd = 3 ft)

Lola bought 4.25 yards of ribbon. The ribbon cost $1.59 per yard. What was the
total cost of her ribbon to the nearest cent?
Fill in the blanks with an operation symbol and a number to complete the
equation.
4.25___$1.59 = $_

Answers

4.25•$1.59= $6.76
Answer: multiply

8) Which table shows a proportional relationship between x and y?
1
y
1
4
2
3
4
8
4
6
10
с
12
8
А
9
16
14
16
12
22
20
20
15
28
x
3
.
y
5
1
12
6
10
2
14
12
D
w N
B
15
16
18
18
4
24
20
20
30
25
5
9 Danielle constructs a scale model of a building with a rectangular base. Her model

Answers

Answer:

  D

Step-by-step explanation:

A table shows a proportional relationship if all of the y/x ratios are the same.

  A: 4/3 ≠ 10/6 . . . . not proportional

  B: 6/12 ≠ 12/14 . . . . not proportional

  C: 2/4 ≠ 20/20 . . . . not proportional

  D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship

Answer:

D

Step-by-step explanation:

1*5=5

2*5=10

3*5=15

4*5=20

5*5=25

Which number does NOT round to 880?
893
883
882
878

Answers

Answer:

893

Step-by-step explanation:

893 is too far away to round to 880. It would actually round to 890.

The last digits of 883 and 882 are small enough to round to 880.

The last digit of 878 is large enough to round to 880.

Answer:

893

Step-by-step explanation:

We round down if the digit is less than 5

We round up if the digit is 5 or more

Rounding to the nearest 10:

893 → 890 (round down as 3 is less than 5)

883 → 880 (round down as 3 is less than 5)

882 → 880 (round down as 2 is less than 5)

878 → 880 (round up as 8 is more than 5)

So the only number that does NOT round to 880 is 893.

Find the volume of this composite figure

Answers

Answer:

381 feet cubed

Step-by-step explanation:

You need to divide the shape into 2.


I would divide the shape so that 8.5ft, 6ft, and 3ft are one.

Now do Length times Width times Height for the first one.

8.5 ft x 6 ft x 3 ft = volume for shape 1

The volume for shape 1 is 153 feet cubed

Now onto the second one.

Since you divide the other shape to have 8.5 feet the measurements are:

4ft, 9.5ft, and 6ft.

Do the formula lwh.

4ft x 9.5ft x 6ft = volume for shape 2

The volume for shape 2 is 228 feet cubed

Finally, you have to add shapes 1 and 2 due to the fact it's a composite figure.

153ft + 228ft = 381ft cubed

= 1 2 + (2 + tan 1 2 ) where and are constants. Show that (1 + ) ²y/dy²=y

Answers

Answer:

Step-by-step explanation:

find the first derivative of x^2+y^2=25​

Answers

Answer:

[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]

Step-by-step explanation:

Use implicit differentiation:

[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

Given the points (-10, -3) and (4,8) find the slope.

Answers

Answer: [tex]\frac{11}{14}[/tex]

Step-by-step explanation:

1) Identify Format

(x1,y1) = (−10,−3)

(x2,y2) = (4,8)

2) Use the Slope Formula

m=y2−y1x2−x1

=8−−3/4−−10

=11/14

=11/14

Bonus: Graph

Answer provided by Education Point

James asked 50 pupils which drink they liked best from cola, milk and water.
23 boys were included in the survey.
11 of the boys said that cola was their favourite.
3 boys liked water best and 7 girls liked water best.
22 pupils altogether said that milk was their preferred drink.
How many pupils altogether said that cola was their favourite drink?

Answers

Answer:

18 pupils

Step-by-step explanation:

11 like cola

32 like other stuff

11+32=43 - 50-43=7

therefore 11+7=18

18 students like cola the best

Make an accurate drawing of two rectangles with the same perimeter, but different areas. Indicate the dimensions of the rectangles, as well as the perimeter and the area in each figure.​

Answers

here.

Step-by-step explanation:

Question 1 of 10
Is the graph a linear function, nonlinear function, or relation?
AY
O A. Nonlinear function
OB. Relation
C. Linear function
PREVIOUS

Answers

Answer:

A. Nonlinear function

Step-by-step explanation:

It is not a linear function because :-

You cannot write an equation because change in y-value for every x-value is not consistentIt cannot be relation as there is no correlation between the x and y values in the graphIt is a nonlinear function

The square root of 7^16 is equal to 7^n for some positive integer n. Find n.

Answers

[tex]\sqrt{7^{16}} = 7^n\\\\\implies \left(7^{16}\right)^{\tfrac 12} = 7^n\\\\\implies 7^{\left(\tfrac 12 \times 16\right)}=7^n\\\\\implies 7^8 = 7^n\\\\\implies \ln 7^8 = \ln 7^n\\\\\implies 8\ln 7 = n \ln 7\\\\\implies n =8[/tex]

Enter in the missing numbers to create equivalent ratios. NO LINKS pls.

Answers

Answer:

Step-by-step explanation:

find the second derivative of 2x^3-3y^2=8​

Answers

Answer:

[tex]\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]

Step-by-step explanation:

Find the first implicit derivative using implicit differentiation

[tex]2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}[/tex]

Use the substitution of dy/dx to find the second derivative (d²y/dx²)

[tex]\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]

Pls show work I can't understand

Answers

Answer:

I don't think that is possible because absolute value cant equal negative number, symbol would be ∅ if that is true

Step-by-step explanation:

i don't have one

This graph shows the amount of sugar and the total calories in 8 items on the
menu at a restaurant

Answers

Answer:

a: there are 30 calories additional grams of sugar for every additional calorie in a menu item

Step-by-step explanation:

Eight subtracted from four times a number is 84. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.

The equation is


B) Solve your equation in part [A] for
x
.


Answer:
x
=

Answers

Answer:

Hope the picture will help you

5-3x5* Whats the answer

Answers

Answer:

-10

Step-by-step explanation:

5 - 3*5

= 5 - 15

= -10


Find the values of x, y, and z.
Please help!!

Answers

Answer:

x=20

y and z=160

Step-by-step explanation:

the arc of the circle is congruent to the central angle therfore x is also 20

next for y and z we can tell they are congruent now to find the measure. we can tell A is 180 so we do 360-180-20=160

Is the following statement true or false? If the statement is false, explain.
Most of the funding for research comes from the government.
(1 point)

Answers

Answer:

The stament is false. Although the government deos fund research, most of the funding for research is from corporations

Step-by-step explanation:

I am sorry if it's wrong but I think that's the correct answer but read this first

Most research funding comes from two major sources, corporations (through research and development departments) and government (primarily carried out through universities and specialized government agencies; often known as research councils).

State and Local Taxes

1. Higher-income individuals are more likely to afford their standard of living and can afford to pay more in taxes.

2. Yes, 32 of the 41 states that tax wages use a graduated scale for the individual income tax.

3. sales tax, meals tax, hotels tax, excise tax, and tolls

4. federal payroll tax

5. A levy paid to a local government by a landowner, a homeowner, or a business that owns real estate.

100% if you put these answers.

HELP ME! PLEASE!

Help me!j

Answers

Answer:

C is the correct answer hope i helped

Step-by-step explanation:

State the following numbers using '+' or '_'.
(a) 80 less than zero
=

(b) 76 more than zero
=


2.List all integers
(a) from -8 to 4
=

(b) from -12 to -2
=​

Answers

Step-by-step explanation:

-80 is less than 0.

+76 is more than 0.

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4

-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2

Complete the square to re-write the quadratic function in vertex form: y=x2-x+3

Answers

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = -1   and  c= 3

continu ..........

Right triangle
What is the area
Left = 20 in
Bottom = 2 in

Answers

The area of a triangle is 1/2*base*height
Therefore, it would be 1/2*2*20 which is 20 (sq. Inch)

Answer:

20sq in

Step-by-step explanation:

h x b / 2

20 x 2 / 2

40/2

20

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