A jar contains sugar. The jar and the sugar have a total weight of 850 g. Anna uses 2/3 of the sugar. The jar and the sugar now have a total weight of 530 g. Work out the weight of the jar.

Answers

Answer 1

Answer:

[tex]J = 370g[/tex]

Step-by-step explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

[tex]J + S = 850g[/tex]

After 2/3 of sugar is removed we have:

[tex]J + S -\frac{2}{3}S= 530g[/tex]

Required

Determine the weight of the jar

[tex]J + S = 850g[/tex] --- (1)

[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)

Simplify (2)

[tex]J + S -\frac{2S}{3}= 530g[/tex]

Take LCM

[tex]J + \frac{3S - 2S}{3}= 530g[/tex]

[tex]J + \frac{S}{3}= 530g[/tex]

Make S the subject in (1)

[tex]J + S = 850g[/tex]

[tex]S = 850g - J[/tex]

Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]

[tex]J + \frac{850g - J}{3}= 530g[/tex]

Multiply through by 3

[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]

[tex]3J + 850g - J= 1590g[/tex]

Collect Like Terms

[tex]3J - J= 1590g-850g[/tex]

[tex]2J= 740g[/tex]

Make J the subject

[tex]J = \frac{1}{2} * 740g[/tex]

[tex]J = 370g[/tex]

The jar weighs 370g

Answer 2

Answer:

370

Step-by-step explanation:


Related Questions

please help! Giving points!

Answers

Answer:

Bee

Step-by-step explanation:

Ya like jazz?

Which ordered pair makes both inequalities true?

y x

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.

Answers

Answer:

B

Step-by-step explanation:

Right answer gets brainlist

Answers

Answer:

2057

Step-by-step explanation:

Fill in the blanks! Help please this is due at 11:59

Answers

Answer:

1) intensive

2) squemish

3) selfish

4) injection

5) combatiive

6) reject

7) interjection

8) eject

9) impressive

10) projected

Not sure about some of these but hope this can help!!

Step-by-step explanation:

Answer:

1. intensive

2. squmish

3. selfish

4. injection

5. combative

6. reject

7. interjection

8. eject

9. impressive

10. projected

Step-by-step explanation:

Two trains leave stations 432 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?

Answers

Answer:

The trains will meet in 2.4 hours.

Step-by-step explanation:

To cover 432 miles at 180mph: 432mi/180mph=2.4 hours

Solve for x. 3x−4≤5 Drag and drop a symbol and number into the boxes to correctly complete the inequality.

Answers

Answer:

x≤3

Step-by-step explanation:

3x≤5+4

3x≤9

x≤3

x≤3 is the solution of the inequality 3x−4≤5

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is  3x−4≤5

Three times of x minus four lesser than or equal to five.

We have to solve for x

Add 4 on both sides of the inequality

3x≤5+4

3x≤9

Divide both sides by 3

x≤3

Hence, x≤3 is the solution of the inequality 3x−4≤5

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ2

A new car is purchased for $40,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?

Answers

Answer:

Value  of the car after depreciation = $800.

Step-by-step explanation:

Formula to get the final value of the car after depreciation of the car price,

Final value = [tex]\text{Initial value}(1-\frac{r}{100})^{\frac{t}{n} }[/tex]

Here, t = Number of years after the purchase

n = Number of years for the depreciation of price by half

By substituting values in the formula,

Final value = [tex]40000(1-\frac{50}{100})^{\frac{17}{3}}[/tex]

                  = [tex]40000(0.5)^{\frac{17}{3}}[/tex]

                  = $787.451

                  ≈ $800 [Nearest hundred dollars]

Therefore, after 17 years value of the new car will be $800.

A system of equations is shown below. y = -5x - 2 y=3x - 4 What is the solution to the system of equations?​

Answers

Answer:

the answer is (x,y) (1/4 -13/4)

Help Help Help .!
repeated multiplication using a negative fraction .

Answers

[tex] {4}^{3} = 63[/tex]

Tony buys 6 packages of cookies. Each package of cookies
cost $2.50. How much will he spend?
I​

Answers

Answer:

15 dollars

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

2.50 * 6

15

What is the solution set for the inequality.

t - 9 ≤ 8

A

{18, 19, 20, 21}

B

{17, 3, 14, 25}

C

{17, 20, 30, 44}

D

{8, 11, 15, 17}

Answers

Answer:

c) {17,20,30,44}

Step-by-step explanation:

OK po yan...sir mam.


Which of the follow is true about it

Answers

I think it’s the second option
Answer: [tex]\boxed{\boxed{\sf{It~should~be~to~the~left~of~9~on~a~number~line.}}}[/tex]Solution Steps:

______________________________

1.) Solve [tex]\bold{\sqrt{73}}[/tex]:[tex]\sqrt{73}[/tex] ≈ [tex]8.544003745[/tex]

So your answer is [tex]\bold{On~the~left~of~9}[/tex].

______________________________

A builder is finishing a new vet clinic and wants to install a drip edge along the roof. The edging he has decided to use comes from Canada and is available in 6 meter rolls. He measured the drip edge and determined he needs 415 feet of edging. How many rolls should he buy? *

Answers

69 rolls in total will be needed

14x + 5y = -6
Slope intercept form

Answers

Answer:

y=-2.8x-1.2

Step-by-step explanation:

5y=-14x-6

y=-14/5x-6/5

y=-2.8x-1.2

The answer is : -14/5x -6/5

Explanation:
5y= -6-14x
y= -6/5 -14/5x

Standard form: -14/5x-6/5

Which point is the outlier on this scatter plot?
Shark Size
y
3
300
Length (cm)
200
100
X
0
0
30
60
90
Mass (kg)
OA (0.07, 18)
O D. (105, 320)
O C. (85220)
O B. (68, 165)

Answers

The answer to this problem is A

Answer: A (0.07, 18)

Step-by-step explanation:  An outlier is a value that is far from the central tendencies around what would be the mean and the median values.

In a scatter plot, it's the dots (coordinates) that are far away from the main cluster.

i have this due in like 10 minutes please help!!

Answers

Answer:

1- a

2- b

3- c

4- d

Step-by-step explanation:

For any operation you have to separate the numbers from the unknown quantities (x, y) and then simplify them by solving them with quantities you are familiar with.

Example:

7x + 8 - 6 + 3x

7x + 3x + 8 - 6

you can only solve operations if they are both natural or algebraic numbers

10x + 2

Hope it was helpful ;)

Find the Inverse Function f(x)=x-5

Answers

Inverse function is f-1(x)= x + 5

The afternoon high temperature was 88°F. By midnight, the temperature 1 point
dropped down to 73°F. What is the percent decrease?

Answers

Answer:

17.04545

Step-by-step explanation:

try this

Answer:

17%

Step-by-step explanation:

88 - 73 = 15

15 divided by 88 = 0.170

round to the nearest percent, 17%.

Hope this helps

Which line below is parallel to y = 5x - 6

Answers

Answer:

-30

Step-by-step explanation:

Which three side lengths best describe the triangle in the diagram?

Answers

Answer:

D

Step-by-step explanation:

the hypotenuse is 10 cm one leg is 8 cm and the other leg is 6 cm

A picture that is 7.5 inches tall and 10 inches wide hangs in the dining room.If the picture is enlarged to a width of 15 inches, how tall will it be?

Answers

the answer is 12.5
15-10=5
7.5+5=12.5

OMg plzzz help due 5 minutes answer whatever u can and real answers plz

Answers

I am srry I don’t understand any of that

x+3y=10 what is the slope of the line

Answers

Answer:

-1/3 is the slope of the line

Step-by-step explanation:

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept.

Subtract x from both sides of the equation.

x - x + 3y = 10 - x

3y = 10 - x

Divide each term by 3.

[tex]\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}[/tex]

[tex]y = \frac{-x}{3} + \frac{10}{3}[/tex]

Rewrite in slope intercept form.

[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]

This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
What will the town's budget be next year?
A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000

Answers

Answer:

A

Step-by-step explanation:

1000000·2.5=2500000

2500000÷100=25000

1000000+25000=1025000

A because 2.5 percent of a million is 25,000 so u add those together

3х - y>2
2х + y>23

solve the system of inequalities ​

Answers

Answer: x is greater than 5

Step-by-step explanation: pls mark brainliest

Simplify: Write your answer in scientific notation.
(3.3 x 10^7) + (7.7 x 10^8)

Answers

The answer is 8.03x10^8

Match each equation with the diagram it represents.....pls help

Answers

Answer:

Oh this is actually pretty easy I think, I hope I get this right! So, Im pretty sure the first one goes to diagram C. The second one goes to diagram D. And I think the third one goes to diagram B. And the last one goes to diagram A. Please dont hate me if I am wrong! Sorry if I am though!

if dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3

Answers

Answer:

The equation of the tangent line passing through the point (-2,3) is

 4 x + y +5 =0

Step-by-step explanation:

Step(i):-

Given that the slope of the tangent

             [tex]m = \frac{dy}{dx} = x(y-1)[/tex]

             m = -2( 3-1) = -4

Given point x = -2

         y = f(-2) =3

∴The given point ( x₁ , y₁) = ( -2 ,3)

Step(ii):-

The equation of the tangent line passing through the point (-2,3)

[tex]y - y_{1} = m(x-x_{1} )[/tex]

[tex]y -3 = -4(x-(-2))[/tex]

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

Step(iii):-

The equation of the tangent line passing through the point (-2,3) is

  4 x + y +5 =0

help please !!!!!!!!!!!!

Answers

Answer:

A & B

Step-by-step explanation:

TBH I was kind of getting that is was D, but follow your gut I just know its defiantly A

Answer:

a and b

Step-by-step explanation:

Can someone help me out please

Answers

B) AAS Congruence Theorem
(correct answer i promise)

explanation:
The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
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