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

solve using multiplication algorithm vertical
72x43

Answers

Answer:

3096?

Step-by-step explanation:

I don't know what that method is, sorry.

But 3096 is 72*43 the normal way.

brainliest fir CORRECT answer ​

Answers

Answer:

y ≈ 5.2

Step-by-step explanation:

∠ F = 180° - (42 + 48)° ← sum of angles in a triangle

∠ F = 180° - 90° = 90°

Thus Δ DEF is right at F

Using the sine ratio in the right triangle

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DF}{DE}[/tex] = [tex]\frac{y}{7}[/tex] ( multiply both sides by 7 )

7 × sin48° = y , then

y ≈ 5.2 ( to the nearest tenth )

The sum of four consecutive integers is -26. What are the integers?

Answers

-6.5 is the answer! Have a good day:)

Answer:

-5, -6, -7, -8

Step-by-step explanation:

just use a calculator

HELP I NEED HELP ASAP

Answers

I think the answer is X + 2

What is the slope intercept ?

PLEASE HELP ME ITS URGENT !

Answers

Answer:

y=mx+b

Step-by-step explanation:

that is the equation

Answer:

5 over -3 is the correct answer

PLEASE HELPP!!!!! PLSSSSSSSSSS

Kerri Ann's baby sister was 15 pounds at her last check up. This is a 25% increase
from birth. How much did her baby sister weigh at birth?

Answers

she weighted 11.25 pounds x

Answer:

18.75

Step-by-step explanation:

while shooting Baskets at a basketball hoop you make 36 out of 80 shots your friend makes 43.75 percent of the shots who made a higher percent

Answers

you make more shots by 1.

can some one help me solve this ​

Answers

Step-by-step explanation:

Please refer to the attachment

PLEASE HELP
Chipotle Burritos are normal distributed with a mean length of 200mm and a standard deviation of 8mm. What is the probability that a burito picked at random is shorter than 190mm?

Answers

Answer: 0.1056

Step-by-step explanation:

Given: Chipotle Burritos are normal distributed with

Mean =  200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :

[tex]P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056[/tex]

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

Answer what you can please and show work. I will mark you brainliest.

Answers

Answer:

part 1:

1) AB = BC = 10

2) DE = sqrt(10² - 9²) = sqrt(19)

3) CED = 90⁰

4) BCD = (90⁰ - 53⁰).2 = 74⁰

part 2:

because FGHJ is a rhombus

=> GK = KJ

<=> 3x + 1 = x + 9

<=> 2x = 8

<=> x = 4

and we have:

GHK + FGK = 90⁰

<=> (4y - 8)/2 + y + 4 = 90⁰

<=> 2y - 4 + y + 4 = 90⁰

<=> 3y = 90⁰

<=> y = 30

5) with x = 4 => GJ = 2KJ = 2.(4 + 9) = 26

6) JK = 4 + 9 = 13

7) with y = 30, HFJ = 90 - FGK = 90 - 34 = 56⁰

8) HJF = 2.FGK = 2.34 = 68⁰

part 3:

because MNLO is rectangle

=> MP = PO

<=> 5a - 7 = 2a + 8

<=> 3a = 15

<=> a = 5

9) with a = 5, MO = 2.PO = 2.(2.5 + 8) = 2.18 = 36

10) NP = PO = 2.5 + 8 = 18

11) LM² = LN² - MN² = MO² - 26² = 36² - 26² = 620

=> LM = 2sqrt(156) = 24,9

12) tan NMO = NO/MN = LM/MN = 24.9/26

=> NMO = 43,8⁰

part 4:

because RSTU is square

=> SR = RU

=> 2k + 7 = 3k - 2

<=> k = 9

with k = 9 =>RU = SR = 2.9 + 7 = 25

13) RV = 1/2.SU = 1/2.sqrt(25² + 25²) = 17,7

14) SU = 2RV = 2.17,7 = 35,4

15) perimeter RSTU = 25.4 = 100

16) area RSTU = 25² = 625

if cos ø = -4/7 what are the values of sin ø and tan ø

Answers

Answer:

tan=5,5

sin=0,98

Sry when Its wrong

Answer:

sin• = √13/7

tan•= -√13/4

Step-by-step explanation:

sin2•+ cos2• = 1

sin• = √1-cos2•

sin•= √1-(-4/7)2

sin•= √1-16/49

sin•= √ 49-16/49

sin•= √ 13/ 49

sin•= √13/7

tan• = sin•\cos•

= √13/7/-4/7

= -√13/4

0. The weight of an object on the Moon is about 16.5% of its weight on Earth. The weight of an astronaut on the Moon is 24.75 pounds. How much does the astronaut weigh on Earth?

Answers

Answer: 150 pounds

Step-by-step explanation:

Let the the astronaut weight on Earth be represented by x.

Based on the information given in the question, thus can be formed into an equation as:

16.5% of x = 24.75

16.5% × x = 24.75

16.5/100 × x = 24.75

0.165x = 24.75

x = 24.75/0.165

x = 150 pounds

The astronaut weigh 150 pounds on Earth.

please help me 10 points will give crown

Answers

A,d,b, and then c ,basically least to greatest

Answer:

umm, i can't read it

Step-by-step explanation:

What is 9/2 × 20/3 × 9/4?

Answers

Answer:

67.5

Step-by-step explanation:

4.5 times 6.66 times 2.25 will be 67.5

Well, when multiplying fractions together, you don’t really have any problem of converting fractions for common denominators or any of that stuff and instead it’s actually quite simple because you just have to straight multiply the numerators and the denominators

9/2 * 20/3 * 9/4
= (9 * 20 * 9)/(2 * 3 * 4)
= (1620)/(24)
= 1620/24
= 67.5

So, in conclusion, 9/2 * 20/3 * 9/4 is equal to 67.50 or 1620/24.

help how do u do this, this assignment is due in a couple hours
brainliest for helping

For questions 1-4, find the distance between points A and B. Round your solutions to the nearest tenth when necessary.

Answers

Answer:

1. AB= 8.94,

2. AB= 7.28

3. AB= 16.4

4. AB= 19.21

Step-by-step explanation:

This is fun! Well you have to find the (1,4) (or point e) point and count the distance to the other points point a and point b.

4 units from a to e and 8 b to e

a² + b² = c²

8² + 4² = c²

64 +16 = c

√80 = √c²

8.94 = c

It dose not matter which units you plug in for a and b but c has to be the long side of the triangle/ hypotonuse.

Follow the same steps for the rest of the problems.

On proplems 3 and 4 plot points first you can subtract the x-x and y-y as a short cut to find the units.

Last year at a certain high school, there were 50 boys on the honor roll and 75 girls on the honor roll. This year, the number of boys on the honor roll increased by 8% and the number of girls on the honor roll increased by 24%. By what percentage did the total number of students on the honor roll increase?

Answers

Answer:

17.6%

Step-by-step explanation:

50×8%=4

75×24%=18

4+18=22

50+75=125

22÷125=17.6%

Answer:

14.4 percent increase

Step-by-step explanation:

A small black cloth bag holds two red counters, two green counters, two
blue counters, and two black counters. All are the same size. Without
looking into the bag, what is the probability of drawing a red counter then
a black counter from the bag without replacement? *

Answers

Answer:

1/14

Step-by-step explanation:

P(red, then black) = [tex]\frac{2}{8}[/tex] · [tex]\frac{2}{7}[/tex] = [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex] (simplifed form)

Find f (-12) if f (x) = -12x + 100​

Answers

f(-12) = -12(-12) + 100 = 144 + 100 = 244

Answer:

244

Step-by-step explanation:

Substitute -12 as x.

f (-12) = -12(-12) + 100

f (-12) = 144 + 100

f (-12) = 244

I hope this helped! :)

What does
$8 -$6 +$8 -$3
Equal?

Answers

Answer:

$8-$6+$8-$3=$7

hope this helps have a good day or night:)

y=-7/17x + O
What’s the answer for this question

Answers

Answer:

Solve for O

by simplifying both sides of the equation, then isolating the variable.

O=y+7x/17

     

at one school there are 81 girls. This corresponds to 45% of all students at the school. how many boys go to school?

Answers

81/.45 =180
180 - 81 = 99 boys

What are the coordinates of the imagine of point A aftert he segment has been dilated by a scale factor of 1/4 with a center of dilation at the origin

Answers

Answer:

The correct option is 2

Step-by-step explanation:

the answer would be (1,-2) because you basically divide the coordinates by the scale factor, in this case 4.

PLEASE MARK ME AS BRAINLIEST

The coordinate for point a is 4,-8

A company rents out 14 food booths and 26 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

The expression is ________

Answers

Answer:

$4140 + $294d

Step-by-step explanation:

Hello,

Let's write down what we know first,

d days

14 food baths -- $175 and $8 per day

26 game booths -- $65 and $7 per day

What we want to find the amount of money paid for both food baths and game booths so after finding them individually, we need to add them up.

We already know the company rents out 14 fb and 26 gb and we know that each fb is 175 dollars and each gb is 65 dollars, so we should find out the cost of buying them. We can also write out the total cost of

14 * $175 = $2450

26 * $65 =  $1690

Now lets find the per day cost,

14 * $8 * d = $112d

26 * $7 * d = $182d

With both equations added together we get,

$2450 + $112d

$1690 + $182d

Add those together and we get:

$4140 + $294d

Jonah deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?​

Answers

$13 i think would be the answer

Bentley is working two summer jobs, babysitting and clearing tables. He can work at most 12 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours clearing tables, cc, that Bentley can work in a given week.

Answers

Answer:

c + b ≤ 12

Step-by-step explanation:

What is the 6th term of the sequence below? 500, 100, 20, 4, …

Answers

Answer:

Should be 4 divided by 5

Answer:

0.16

Step-by-step explanation:

1st term: 500

Divide 500 by 5 to get the 2nd term: 100

Divide 100 by 5 to get the 3rd term: 20

Divide 20 by 5 to get the 4th term: 4

Divide 4 by 5 to get the 5th term: 0.8

Divide 0.8 by 5 to get the 6th term: 0.16

I hope this helped! :)

1. Round to the nearest cent.
$10.456
$11.00
$10.50
$10.45
$10.46

Answers

the correct answer is ^
10.46

Ignore the 10, since it is only to the nearest cent and it doesn’t matter

.465

If a number is 5 or above, it rounds up, if it’s lower than 5 it rounds down

The rounding only affects the 6, since the 6 rounding would affect the 4

Seven pizzas require 3 bags of cheese.How many bags of cheese are needed to make 21 pizzas?

Answers

Answer:

12 Bags of Cheese

Step-by-step explanation:

7 Pizza = 3 Bags

(                          ) 3 = 21

21 pizza's= 12 Bags

can someone. help me solve this pls .

Answers

Answer:

1.108

[tex]729 = {n}^{6} \\ \sqrt[6]{729} = \sqrt[6]{ {n}^{6} } \\ n = 1.108[/tex]

What are the Variable Terms, Coefficients, and Constants for 8r + 7 - 2r

Answers

variable: r constant: 7 coefficient: -2 and 8
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