A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (Use either elimination or substitutions) SHOW ALL STEPS PRETTY PLEASE !!

Answers

Answer 1

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL


Related Questions

Giving brainlist to whoever answers

Answers

Answer:

B. 3(12 - x) = 6

Step-by-step explanation:

3(20 - 10) = 44

3(10) = 44

30 < 44

3(12 - 10) = 6

3(2) = 6

6 = 6

2(10) + 3 = 25

20 + 3 = 25

23 < 25

2(10) - 3 = 22

20 - 3 = 22

17 < 22

E(4, 6) is one endpoint of EF. M(1, 1) is the midpoint of EF.
Determine the coordinates of the endpoint F.

Answers

The coordinates of endpoint F would be (-2,-4)

Find the elapsed time.
from 8:32 A.M. to 1:59 P.M.

Answers

Answer:

easily look it up on the internet

Answer:

5 hours and 27 min

Step-by-step explanation:

There are 4 cones with a height of 18 meters. The Radius of the Cones: Cone 1: 1 Cone 2: 2 Cone 3: 3 Cone 4: 4 What's the volume of each cone? Express your answer in terms of pi.

Answers

Answer:

24π

54π

96π

Step-by-step explanation:

Cone 1:

Height, h= 18 meters

Radius, r = 1

Volume of cone 1 = πr²h/3

= (π * 1² * 18)/3

= (π * 1 * 18)/3

= 18π/3

= 6π

Cone 2:

Height, h= 18 meters

Radius, r = 2

Volume of cone 2 = πr²h/3

= (π * 2² * 18)/3

= (π * 4 * 18)/3

= 72π/3

= 24π

Cone 3:

Height, h= 18 meters

Radius, r = 3

Volume of cone 3 = πr²h/3

= (π * 3² * 18)/3

= (π * 9 * 18)/3

= 162π/3

= 54π

Cone 4:

Height, h= 18 meters

Radius, r = 4

Volume of cone 4 = πr²h/3

= (π * 4² * 18)/3

= (π * 16 * 18)/3

= 288π/3

= 96π

There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.

Answers

Answer:

1 question

Step-by-step explanation:

There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points.

Total number of correct answers = 20 Questions × 7 points = 140 points

Total number of wrong answer = -4 × 20 questions = -80 points

We are told that:

Eric took the quiz and scored 100 points.

Therefore, the number of questions he left blank is 1 question

What is the median number of books read?

Answer options with 5 options


A.5

B.8

C.9

D.10

E.11

Answers

Answer:

The answer is B:8

Step-by-step explanation:

because when you line up the numbers in order

5 6 7 8 11 11 15

The middle number is 8

Mhanifa please help! This is due soon and I dont want to fail

Answers

Answer:

#1

Sum of interior angles is 180:

y = 180 - (42 + 31) = 107

The law of sines:

x / sin 107 = 11 / sin 42x = 11 sin 107deg / sin 42deg x = 15.72

#2

The law of cosines:

cos 76  = (6² + 17² - x² )/2(6)(17)204*0.24 = 325 - x²x² = 325 - 48.96x² = 276.04x = √276.04x = 16.61

#3

Same as above:

2*9.4*10*cos 20 = (10² + 9.4² - x²)176.66 = 188.36 - x²x² = 188.36 - 176.66 x² = 11.7x = √11.7x = 3.42

#4

Sum of interior angles is 180:

y = 180 - (52 + 94) = 34

The law of sines:

x / sin 34 = 15 / sin 94x = 15 sin 34  / sin 94 x = 8.41

The weight of the rectangle is 80
grams.
The weight of the triangle is
double the weight of the circle.
Determine the weight of the circle.

Answers

Answer:

6 2/3

Step-by-step explanation:

Rectangle has four sides. The total weight of the circle is 20 grams.

What is a rectangle?

A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.

As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,

[tex]\text{Weight of the reactangle} = \dfrac{\text{Total weight of the reactangle}}{\text{Number of Triangles}}[/tex]

[tex]\text{Weight of the reactangle} = \dfrac{80}{2} = 40\rm\ grams[/tex]

It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,

[tex]\text{Weight of the triangle} = 2 \times \text{Weight of the circle}[/tex]

[tex]40= 2 \times \text{Weight of the circle}\\\\\text{Weight of the circle} = 20\rm\ grams[/tex]

Hence, the total weight of the circle is 20 grams.

Learn more about Rectangle:

https://brainly.com/question/994316

-6x-5>-4(x-1)+3. Solve step by step pls

Answers

Answer:

Step-by-step explanation:

-6x-5>4(x-1)+3

-6x>4(x-1)+8

-6x>4x-4+8

-6x>4x+4

-10x>4

-x>.4

x<-1

3. Which quadratic equation has 2 and —3 as its roots?
A. x² - x - 6=0
B. x2 + x - 6=0
C. x2 + 5x +6=0
D. x2 – 5x + 6 = 0

Answers

Answer:

B

Step-by-step explanation:

x2 + x -6 = (x-2)(x+3)

x = 2, -3

Area And Volume PLS HELP

Answers

Answer:

Area of Top Bottom- L x W = Area so 8 x 5= 40 sq ft

Area of Front Back- L x W = Area so 3 x 8 = 24 sq ft

Area of Left side/ Right side L x W = Area so 3 x 5 = 15

Total Surface Area-  X + Y + Z = Total SA so 40 + 24 + 15 = 79

Volume- L x W x H = Volume so 8 x 5 x 3 = 120 cubic feet

Step-by-step explanation:

L being length

W being width

H being Height

I need help with #12

Answers

Answer:

B

Step-by-step explanation:

HELP I WILL GIVE BRAINIEST

Answers

Answer:

Number 3: The answer is 31.8

Number 4: I got about 9.49ft as the answer.

Step-by-step explanation:

a^2 + b^2 = c^2

so 13^2 = 169

29^2 = 841

841+169 = 1010

the square root of 1010 is about 31.8

I did the exact same thing for the second one just using different numbers, 3 and 9 (as shown in the picture).

PLEASE HELP I DONT KNOW HOW TO DO ANY OF THIS

NO LINKS

Answers

Answer:

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

Step-by-step explanation:

Just look at the interceptions

Answer:

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

Step-by-step explanation:

The solution to the system is where the two graphs intersect

They intersect at the points

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

Sorry to bug ya'll but I don't get either of these fraction problems...

1. 6/7 - 1/16

2. 6/9 ÷ 13/16

Answers

Answer:

1. 89/112     2. 32/39

Step-by-step explanation:

How do I find the surface area of this?! Please PLEASE answer me! Do not give links.
Thank you so much if you answer this!​

Answers

Answer:

You find the surface area with:

10*2+10*2+4*2+4*2+2*2+2*2+4*7+4*7+4*4+4*4 or in short 152 in^2.

Find the surface area of both blocks individually. The way you find surface area is by finding the area of each side then add them all together. But because they are right next to each other, after you find the finally surface area you will have to subtract the left side of the green cube. Hope this helped

Using f(x) =8x^2 and g(x) = 2x +8
Find f(g(x))

Answers

Answer:

32x²+256x+512

Step-by-step explanation:

f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512

Consider the function graphed below.

Which function does the graph represent?

Answers

Answer:

its c on edge 2021

Step-by-step explanation:

The function of graph is

f(x) = { x²                   , x < 1

         1/3x+ 2/3        , x > 1

What is function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

For first part of graph we have the equation of parabola as

y = a (x- h)² + k

At origin, h= 6 and k= 0

y = ax²

and, Passing through the point (1, 1)

1 = 1 (a)

a= 1

So, the equation first is y= x².

Now, for second part using slope intercept form

y= mx+ b

As, Passing through (1, 1) and (4, 2)

(y- 1) = (2-1)/ (4-1) (x- 1)

y-1 = 1/3 (x-1)

y - 1 = 1/3 x - 1/3

y - 1/3 x = -1/3 + 1

y - 1/3x = 2/3

y= 1/3x + 2/3

So, the function of graph is

f(x) = { x²                   , x < 1

         1/3x+ 2/3        , x > 1

Learn more about Function here:

https://brainly.com/question/9590016

#SPJ5

Need help will give thanks or brainliest

Answers

no none of the sides have equal side lengths

Step-by-step explanation:

success

:)

.................

write in standard form 5.2-0.5x=1.9y​

Answers

Answer:

5.2 = 0.5x + 1.9y

Step-by-step explanation:

In this case "standard form" signifies an equation resembling Ax + By = C.

Adding 0.5x to both sides results in  5.2-0.5x + 0.5x = 1.9y​ + 0.5x, or

5.2 = 0.5x + 1.9y, which is in "standard form."

DUE IN 10 MINUTES!! PLEASE ANSWER THESE QUESTIONS BELOW. 100 POINTS!!
TOPIC: Probability



1. Provide an example of when probability is used in the media

2. Give a personal example of when probability informed your decision making

3. Provide an example of probability being used to influence a decision

4. Explain how decisions are a combination of theoretical, experimental, and subjective probability

Answers

Answer:

Here is ur answer :

1. Probability of composing music for a movie is 1

2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .

3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .

4. Sorry i don't know

Hope the others will help you !!

Parts
Mart has a 13.5-ounce bag of raisins and a 257-ounce bag of granola mix
He puts an equal amount of the combined raisin and granola mix into each
of 4 large bowls. How much mix does Matt put in each bowl?
Show your work

Answers

Answer:

Matt put 3.375 ounces of raisins and 64.25 ounces of granola in each bowl.

Step-by-step explanation:

Divide the amount of raisins by four and divide the amount of granola by four :)

The perimeter of a rectangular concrete patio is 46 meters. The patio is 13 meters long. How
wide is it?

Answers

Answer:

10 meters wide

Step-by-step explanation:

Perimeter = (2L + 2W)

(2(13) + 2W) = 46 - 26 = 2(W)

20 = 2W

20/ 2 = 10

w = 10

I’m on my knees begging right now!!!!

Answers

pretty sure it’s b, in scientific notation u add the exponents plus 1.

Answer: I dont get if your tryna evaluate but if you tryna evaluate with scientific notation its 1.625 x 10^14 thats what i got ima go with b--

Solve the systems of equations by graphing
y= x^2-2x-8
y=2x-3

Answers

Answer:

(-1,-5)

Step-by-step explanation:

Multiply the polynomials
(2x - 5) (-3x^2 + 4x - 7)

Answers

[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]

Answer:

-6x^3 + 23x^2 - 34x + 35.

Step-by-step explanation:

(2x - 5) (-3x^2 + 4x - 7)

= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)

= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35

= -6x^3 + 23x^2 - 34x + 35.

A certain island contains 540 cats and 675 dogs. What is the ratio of cats to dogs on this island?

Answers

Answer:

4 : 5

Step-by-step explanation:

every 4 cats there are 5 dogs

The ratio of cats to dogs is 4  : 5

The ratio of cats to dogs is:

Number of cats : Number of dogs

540  :  675

Now you take them down to their lowest terms by dividing both numbers by their highest common factor.

The highest common factor of 540 and 675 is 135 so divide both sides by 135:

540 / 135   :  675 / 135

4  :  5

The ratio of cats to dogs is therefore 4 : 5.

Find out more at https://brainly.com/question/20288869.

A jacket that normally sells for $80 is on sale for 20% off. What is the sale price of the jacket?

Answers

Answer:

64

Step-by-step explanation:

..........

.........

ungkapkan perimeter pentagon, P dalam sebutan a,b dan c.​

Answers

Answer:

A. I think that's the answer.

tolong aku pliss aku minta bantuan kalian makasih bgt yg udah membantu :)​

Answers

Answer:

b ata.....

Step-by-step explanation:

no explanation

Answer:

radius=28cm/2

=14 cm

circumference of the wheel=2πr

=2×22/7×14

=88 cm

answer is option D

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