One type of candy mix contains 30% Smarties by mass. A second type contains 20% Smarties by
mass. What mass of the 30% mix is required to make a 500 gram mixture that will have 24%
Smarties by mass?

Answers

Answer 1

Answer:

200 grams

Step-by-step explanation:

Let us represent

The number of grams of

30% smarties = x

20% smarties = y

Hence:

x + y = 500

x = 500 - y

Hence:

30% × x + 20% × y = 24% × 500

0.3x + 0.2y = 120

Substitute 500 - y for x

Hence:

0.3(500 - y) + 0.2y = 120

150 - 0.3y + 0.2y = 120

Collect like terms

- 0.3y + 0.2y = 120 - 150

- 0.1y = -30

y = -30/0.1

y = 300

Solving for x

x = 500 - y

x = 500 - 300

x = 200

Hence,

The number of grams of

30% smarties = x = 200 grams

20% smarties = y = 300 grams

Therefore:

the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams


Related Questions

Simba is 13 years old. how old will he be in 8 years from now? how old will he be in y years from now?​

Answers

Answer:

13+8=21 in 8 years

13+y=blank years for now

hope this helps

have a good day  :)

Step-by-step explanation:

For an equation that represents as a function of the set of all values taken on by the ________ variable is the domain, and the set of all values taken on by the ________ variable is the range

Answers

Answer:

Independent  [tex]\to[/tex]  Domain

Dependent [tex]\to[/tex] Range

Step-by-step explanation:

Required

Fill in the gaps

A function is represented as:

[tex]y = f(x)[/tex]

Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).

Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.

does anyone know hot to find the area?

Answers

Circle = (pi)r²
So, (pi)22²
(pi)484
=1520.53084

If you’re using 3.14 for pi instead of the symbol on the calculator, the answer will be slightly different

What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm
A. 34.6 cm
B. 17.3 cm
C. 69.1 cm
D. 138.2 cm

HELPPP

Answers

Answer:

C. 69.1

Step-by-step explanation:

Circumference formual = 2pi r

2 × 3.14 × 11

69.1cm

The circumference of the circle is 69.1 cm.

What is circumference?

The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.

Given that a circle with radius 11 cm, we need to find the circumference of the circle,

Circumference = π × 2 × radius

= 3.14 × 2 × 11

= 69.1 cm

Hence, the circumference of the circle is 69.1 cm.

Learn more about circumference, click;

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Find the length of arc XW. Round your answer to the nearest hundredth.

Answers

Answer:

15.08 m

Step-by-step explanation:

The angle XZW :

XZW + 108° = 180°

XZW = 180° - 108°

XZW = 72°

Length of an arc = θ / 360 * πd

d = diameter = XV = 24

Length of arc XW = (72/360) * π * 24

Length of arc XW = 15.0796

Length of XW = 15.08 m

Answer:

15.08

Step-by-step explanation:

The perimeter of the parallelogram below is 50 cm and the length of AB = 10 cm. What is the length of side BC?

Answers

Answer:

15

Step-by-step explanation:

The length of BC=20cm I think

helppppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

You just substitute the values in for A and B and then you simplify

The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182

hope this helped

Answer:

182

Step-by-step explanation:

First, plug in 17 for a

10·17+b=170+b

Then plug in 12 for b

170+12=182

There you go!

182

plzplzplzhelpmeeeeeeeeee

Answers

Answer:

A = 7

Step-by-step explanation:

√50 = 7.07

approximating it will give you

= 7

√50 approximately equal to 7.
√50=5√2=7.07

Try your best to answer it​

Answers

Answer:

y=-4(x,y)=(0,-4)

y=-3(x,y)=(2,-3)

y=-2(x,y)=(4,-2)

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

y=0(x,y)=(8,0)

y=1(x,y)=(10,1)

Step-by-step explanation:

Answer:

Answer attached

Step-by-step explanation:

I think you can plot it in the graph.

Which relation is a function?

Answers

Answer:

C

Step-by-step explanation:

if you don't have from same x different outcomes is a function

think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)

A. not a function because (6, -3) and (6, 3)

B. not  a function because (4,7) and (4,2)

C. is a function

D. not a function because (2, -1) (2,1) (2,3)

Helppp I beg ya 20 points and I’ll give brilliants to

Answers

Answer:

im not that smart

Step-by-step explanation:

A measure that describes the typical value of a data set


a
measure of variation
b
mean absolute deviation
c
statistics
d
range
e
measure of center
f
statistical question

Answers

e

measure of center

as A measure that describes the typical value of a data set mean,median and mode.

help me plzz plzzz plzzzz​

Answers

Answer:

60 degree

Step-by-step explanation:

a hexagon has a total sum of angles equal to 720

720/6 = 120

180-120 = 60

Please help I will give brainliest

Answers

Answer:

52, 60, 68, 76..

Step-by-step explanation:

Find the height of triangle

Answers

Answer:

60

Step-by-step explanation:

First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion

60/x = x/60.

Cross multiply

x^2 = 3600

and now find the square root of 3600

60

13.2 Area of Triangles
2. Find the area of the triangle.
14 ft
17 ft

Answers

Answer:

119

Step-by-step explanation:

Answer:

question 1 is,  the area is 119

question two is, the base length is  18

Step-by-step explanation:

PART ONE

To figure this out we need to know that to find the area the equation is A=1/2bh so lets create our equation

A=1/2(17)(14)

A=1/2(238)

A=119

119 is your area

PART TWO

to find out the length we need to basically reverse what we did in the first part

270*2=540

540 divided by 30 (the height)=18

18 is the base length

to show it is correct we can use these numbers to find the answer  

A=1/2(18)(30)

A=1/2(540)

A=270

Find the measurement of the base.
3.5 in
Area = 12.6 in?

Answers

3.6 in i believe
12.6 divided by 3.5
= 12.6/3.5
= 3.6
3.6 x 3.5
= 12.6 =12.6

1/2 divided by 2 1/2

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

The answer is 0.2

Hope this helps!

Brainliest??

PLs, help me with this math question, and please answer if you only know it.

Answers

Answer:

Step-by-step explanation:

This is quite a doozy, so try and follow along. If you don't know your circle stuff well, it will be more difficult for you to understand how all this comes together.

First, we were given that angle CBD = 55. That means that angle CED is also 55 since they are both inscribed angles and they both intercept the same arc, arc CD. Angle BFC is congruent to angle 5 because they are vertical and vertical angles are congruent, so that means that triangle BFC is congruent to triangle EFD because of Angle-Angle-Side. Now that we got that out of the way, let's move on. We will come back to that in a bit.

Angle 1 intercepts arc BE and since angle 1 is an inscribed angle, it is half the measure of its intercepted arc. Therefore,

∠1 = 25° ; angle BCE also equals 25 degrees since they are both inscribed and they both intercept the same arc (again, arc BE).

If angle BCE is 25, and angle CBD is 55, then angle F, by the Triangle Angle Sum Theorem, must equal 180 - 25 - 55 = 100. And if Angle F = 100, then

∠5 = 100° . Angles 4 and 5 are supplementary, therefore,

∠4 = 80°

Since angle CBD was given as 55 and is an inscribed angle for arc CD, then arc CD is twice the measure of its inscribed angle and arc CD is 110 degrees. Angle 6, then, is one-half the difference of arc CD and arc BE so

∠6 = 30°

Angles 2 and 3 are congruent since they are both inscribed and they both intercept the same arc (arc DE); and since triangles BFC and EFD are congruent, by CPCTC, sides BF and EF are congruent...which means by the IsoscelesTriangle Theorem, angle 2 and angle BEC are congruent. 180 - 80 = 100 and divide that in half to get that

∠2 ≅ ∠3 = 50°

Lastly, angle 7 is half the measure of its intercepted arc (arc BE, given as 50), therefore,

∠7 = 25°

Find the perimeter of triangle ABC with vertices A(–5, –2), B(–2, –2), and C(–5, 2).

Answers

Answer:

12 units

Step-by-step explanation:

the perimeter = AB+AC+BC=

3+4+5 = 12

Answer:

12 units

Step-by-step explanation:

AB = 3 units

BC = 5 units

CA = 4 units

Perimeter of triangle,

→ AB + BC + CA

→ 3 + 5 + 4

→ 12 units is the answer.

a three-digit lottery ticket using the numbers 0 to 9 has how many possible combinations? using only the fundamental counting principal.

Answers

Answer:

1000 combinations

Step-by-step explanation:

Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How many did Bridget get?

Answers

Answer:

35

Step-by-step explanation:

The 14 sweets Peter gets is 2 parts of the ratio, then

14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then

5 parts = 5 × 7 = 35 ← number of sweets Bridget gets

help i’ll give brainliest

Answers

Answer:

The answer would be D, hope this helps

The answer is D I believe so

can someone help a brotha out

Answers

Answer:

x = 5

y = 6

Step-by-step explanation:

Let's Solve for x-value first:

By the midsegment theorem we can say;

18 = 2x + 8

18 - 8 = 2x

10 = 2x

10/2 = x

5 = x

Now that we have x-value, let's figure out y-value similarly;

22 = 4y - 2

22 + 2 = 4y

24/4 = y

6 = y

There is the answer!

x = 5, and

y = 6

Hope this helps!

Find the value of x and y.

Answers

Answer:

x=34[tex]\sqrt{2}[/tex]

y=34[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Q 4: A triangle has vertices A (1,6), B (1, 2) and C (6,2). What is the area of the triangle?




Plss helpppppp.

Answers

Answer:

10 units

Step-by-step explanation:

point A has the coordinate (1,6) and point B has the coordinates (1,2), so the difference in the y values will give height of the triangle which is 6-2 = 4

similarly the point B has the coordinates (1,2) and point C has the coordinates (6,2). Calculate the difference in x values which is 6-1 = 5 which is the base of the triangle

now use the area of a triangle formula which is 1/2 * b * h

= 1/2 * 5 * 4

= 1/2 * 20

= 10

A spherical dodge ball has a radius r and a tennis ball has a radius 0.3r? What is the difference in volume between a dodge ball and a tennis ball?

Answers

Answer:

4/3π(0.973r³)

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Given the radius of dodge ball rd = r

radius of tennis ball rt = 0.3r

Taking their difference

Volume difference  = 4/3πrd³ - 4/3πrt³

Volume difference  = 4/3π(r)³ - 4/3π(0.3r)³

Volume difference  = 4/3π(r³ - 0.027r³)

Volume difference = 4/3π(0.973r³)

Hence the differmce in volume is  4/3π(0.973r³)

There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How
many different groups of 4 movies are possible, if the order in which they are seen is not important?

Answers

Answer:

35

Step-by-step explanation:

sdfghjkolkgdsdfghjkl

The possible number of the group the movies will be 840.

What are permutations and combinations?

Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.

Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.

The combinations will be calculated as:-

Combination = ⁷C₄

Combination = ( 7 x 6 x 5 x 4 )

Combination = 840

To know more about permutation and combination follow

https://brainly.com/question/28065038

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What is the diameter of a sphere with a volume of 334 cm", to the nearest tenth of a
centimeter?

Answers

Answer:

8.6cm

Step-by-step explanation:

V = 4/3 pi r^3 = 334, solve for r = 4.30

double for diameter = 8.61

Step-by-step explanation:

you can see there

just click the photo

What is the first step you will use to solve this equation:

4x +2 = 7x - 13



A.Subtract 13 from both sides


B.Add 7x to both sides


C.Add 2 to both sides


D.Subtract 4x from both sides

Answers

Answer:

E.? subtract 2 on both sides

Step-by-step explanation:

the wording (to me) is mixed up for a and c

sry if its not correct

4x+2=7x-13
2+13=7x-4x
15=3x
15/3=x
5=x
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