an alloy is made by mixing metals A and B in the ratio 3:5
metal a costs £42 per kg
metal b costs £20 per kg

how much would it cost to make 400g of the alloy?

Answers

Answer 1

Answer:

11.3

Step-by-step explanation:

First solve how many grams of each mineral you need.

To do this use this equation

[tex]\frac{3}{5} =\frac{x}{y} ; x+y=400[/tex]

Solve the system of equations to get

x=150, y=250

Since there are 1000 grams in 1 kg then the amount of kg of each material you need will be

[tex]x=\frac{150}{1000}; y=\frac{250}{1000}[/tex]

So you need to 0.15 of a kg of mineral a and 0.25 kg of mineral b.

Multiply 0.15 by 42 to get the amount of money needed to buy mineral a.

0.15*42=6.3

Multiply 0.25 by 20 get the amount of money needed to buy mineral b.

0.25*20= 5

Add them to get the final amount

6.3+5=11.3


Related Questions

PLEASE HELP ME ITS DUE IN 30 MINS

Answers

Step-by-step explanation:

I honestly dont know. Maybe you could try to multiply the numbers on the chart? I hope this helped:)

HELP! i don’t know which one it is

Answers

Answer:

40.2

Step-by-step explanation:

Answer:

40.2 yeah

Step-by-step explanation:


Write the equation of the line in point slope form.
Y+4=-3(x+2)

Answers

Y+4= -3x - 6
Y= -4 - 3x -6
Y+3x= -10

(4f-5+2g)-(6g+4)
change to standard form​

Answers

Answer:

4f-4g-9

Step-by-step explanation:

first I did i put 4f cuz u can't do anything to it so then I subtract 2g-6g you will get -4g and then add -5 +4=-9

hope this helps

height versus age domain and range

Answers

Answer:

While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.

Step-by-step explanation:

Price per volleyball if 6 volleyballs cost $18.00? Please I need helpppp

Answers

Answer:

The price per volleyball is $3.

Step-by-step explanation:

Divide $18 by 6 for the cost of each volleyball in which your final answer should be $3 per volleyball.

I am thirsty but also thrifty so I want a drink that will quench my thirst and cost the least. Which of the following will quench my thirst and cost the least? Write the unit rate for each.
-A 12oz Pepsi $1.08
-A 20oz coke for $1.20
-A 24oz mountain dew for $1.68

Answers

You need to find the cost per ounce.
Just divide the price by the amount of ounces.
Once you do this, you get .09, 0.06, and 0.07.
The coke costs the least per ounce. It’s the one.

Find the area of the shaded sector. Round to the nearest hundredths place.
SR= 26 m

Answers

Answer: 315.45 m^2

Step-by-step explanation:

We know that the area of a circle is written as:

A = pi*R^2

Where:

pi = 3.14

R = radius of the circle.

In this case, we know that SR (the diameter) is equal to 26m

And the radius is half of the diameter, then:

R = 26m/2 = 13m

Now, in the image we can see that we have half of the circle shaded, the area of that part will be equal to half the area of a complete circle, then the area of that part is:

A = (1/2)*3.14*(13m)^2 = 265.33 m^2

We also can see that we have a small arc shaded.

The area of a given arc of an angle θ, is given by:

A = (pi*R^2)*(θ/360°)

Now we want to find the angle of this arc, that is the angle:

∠PQ

We know that:

∠SR = 180°   (this is a straight line)

∠RQ = 73°

and i assume that:

∠PS = 73°

if we look at the image, we can see that we must have:

∠QR + ∠PQ + ∠SP = ∠SR

73° + ∠PQ  + 73° = 180°

∠PQ = 180° - 2*73° = 34°

Then the area of the small arc is:

A' = (3.14*(13m)^2)*(34°/360°) = 50.12 m^2

The total shaded area is equal to the sum of the two areas we calculated, this is:

Total area = A + A' = 265.33 m^2 + 50.12 m^2 = 315.45 m^2

12d^4/3d^2 shdhshbdbsnsns

Answers

Answer:

zip p0quo6or0r7ut t if

Step-by-step explanation:

ye at rdlrj8hj0

Answer:

[tex]4d^{2}[/tex]

Step-by-step explanation:

Divide the numbers like usual:

12/3 = 4

Note that when you divide powers with common base, you are actually subtracting the power:

[tex]\frac{d^{4} }{d^{2} } = d^{4 - 2} = d^{2}[/tex]

Combine the two for your answer:

[tex]4d^{2}[/tex] is your answer.

~

Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110

Answers

A- 30
B- 3
C- 30
D- 3
E- 3

(A and C)

What is the domain of the function graphed?

A){x: x≤4}
B) {x: x≥2}
C) {x: x≤2}
D) all real numbers

Answers

Answer:

D) all real numbers

Step-by-step explanation:

When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling price of the sofa. What will be the selling price if the manager of Fantastic Furniture buys a sofa for $400? Show your work explain your reasoning.

Answers

Answer:

Selling price= $580

Step-by-step explanation:

eGiving the following information:

Buying price= $400

Mark-up percentage= 45% = 0.45

The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.

Mark-up= buying price* Mark-up percentage

Mark-up= 400*0.45

Mark-up= $180

Now, the selling price:

Selling price= 400 + 180

Selling price= $580

write:
3^-4 in standard form

Answers

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Key skills: Exponents + Fractions

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as [tex]\frac{1}{3^{4}}[/tex]

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it? ​

Answers

Answer:

short .

short becomes shorter when you add er .

Step-by-step explanation:

Answer:

shorter

Step-by-step explanation:

short

shorter

which is larger -1.5 or -3 1/2​

Answers

Answer:

-1.5

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

sorry if I'm wrong

What is (60 times 8)-5- divided by 2

Answers

Answer:

60x8 480 -5 475 divided by 2 is 237.5

Step-by-step explanation:

Answer: 0.234375

Step-by-step explanation:

Conversion a mixed number 2 2/

3

to a improper fraction: 2 2/3 = 2 2/

3

= 2 · 3 + 2/

3

= 6 + 2/

3

= 8/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 5/

8

: 8/

3

= 5/

8

· 3/

8

= 5 · 3/

8 · 8

= 15/

64

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/

3

is 3/

8

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - five eighths divided by eight thirds = fifteen sixty-fourths.

Please don’t ignore I really need some help on this

Answers

45.50(original price) * .8 (discount) * 1.05 (tax) =$38.22(final answer)

Answer:

38.22

Step-by-step explanation:

Remark

You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).

Discount

45.50 * 20/100 = 9.10

45.50 - 9.10 = 36.4

Sales Tax

46.4 * 5/100 = 1.82

Total Cost

Total Cost after the discount = 36.4 + 1.82 = 38.22

PLEASE HELP ME WITH THIS ASAP

Answers

Answer:

92.736

Step-by-step explanation:

Answer:

92.736 square feet

Step-by-step explanation:

Area is length times width

4.8 x 19.32 = 92.736 Square feet

PLEASE HELP ASAP I WILL MARK BRAINLIEST IF THERE ARE MULTIPLE ANSWERS!!!!!

Please graph the solution of x+8≥9 and take a picture

Answers

Answer:

Attached

Step-by-step explanation:

x+8≥9

x ≥ 9-8

x ≥ 1

picture one is two dimension and picture 2 is number line

Solve for x, round to the nearest tenth of a degree (timed help me PLEASE!!!)

Answers

Answer:

yo

o.1 like it please o.1

The value of x is 63.435, which is 60 round to the nearest tenth of a degree.

Given:

Height = 40 feet.

Distance =20 feet.

To find the value of x.

sinθ = hypotenuse/opposite.

cosθ =  hypotenuse/adjacent.

tan θ = opposite/adjacent.

tan θ = 40/20 = 2

θ = tan ⁻(2) = 63.435

Therefore, 60 for x round to the nearest tenth of a degree.

Learn more about Application of trigonometry here:

https://brainly.com/question/11687813

#SPJ2

Find the slope of each line

Answers

Answer:

The slope of this line is 4/1 or just 4.

Step-by-step explanation:

In order to get from one red dot to the other, you go up 4 and over 1. The entire line's formula is y=4x-2

Jack had 3 bags of golf balls with b balls in each bag;
Then his friend gave him 6 more golf balls.

How many golf balls does jack have now?
Write your answer as an expression.

Answers

3b+6 is your answer.

Answer:

number of balls in three bags is 3b, so he has 3b+6 balls now

The correct answer is y < 18. Let's pretend a student forgot to flip the symbol and they mistakenly believe the solution set is y > 18. They check 21 since 21 is greater than 18, and they think that y has to be greater than 18. When they do their check, what will the final line of the check say? Is this a true statement?

Answers

Answer:

It is wrong

Step-by-step explanation:

y < 18

This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.

y > 18

This is read as y is greater than 18.

There is a difference between the numbers greater or less than 18 .

y must have numbers less than 18 and 21 is greater than 18.

Therefore it is wrong.

But to make it true we can multiply minus with the inequality y > 18

-y > -18

This reverses the inequality sign and it becomes

y< 18

The solution which is required.

A middle school took all of its 6th grade students on a field trip to see a play. The students filled 816 seats, which was 48% of the total number of seats in the theater. How many total seats were in the theater?

Answers

Answer:

4900

Step-by-step explanation:

BYHELPINGME

HELP ASAP
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for
chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked
cheesecake
Part A: Summarize the data by writing the values that the letters A to l in the table below represent. (5 points)

Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake? (3 points)
Part C: Do the survey results reveal a greater dislike for chocolate cake or cheesecake? Justify your answer. (2 points)

Answers

A

Like choc cake and cheesecake- 15

Like choc cake no cheesecake- 35

Total- 50

No choc but cheesecake- 25

No choc no cheesecake- 25

Total- 50

Which expression is equivalent to 5(4k+7)?

A. 5(7+4k)
B.7(5k+4)
C.35k+20
D.4k+35

Answers

Answer:

A. 5(7+4k) = 35+ 20k

This is the same as 5(4k+7)

20k+35 is equal to 35+20k

40 POINTS! IF YOU ANSWER CORRECTLY AND BRAINLIEST

The ratio of cows to chickens at Old McDonald’s Farm is 2:7. Select
all the farms that have a greater ratio of cows to chickens than Old
McDonald’s Farm.

1. ed’s Farm: 3 cows for
every 5 chickens

2. Pasture Farm: 2 cows for
every 9 chickens

3.Cluck & Moo Farm: 1 cow
for every 5 chickens

4. C & C Farm: 3 cows for
every 8 chickens

5. Family Farm: 1 cow for
every 3 chickens

btw: I added an extra 50 cause i feel nice today :>

Answers

Answer:

2. Pasture Farm : 2 cows for every 9  chickens & 4. C & C Farm: 3 cows for

every 8 chickens.  

* Please let me know if this helped you or tell me if one of my answers are wrong .

PLEASE HELP I WILL GIVE MORE POINTS IF YOURE CORRECT!!!
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable

y= 4x+5

Answers

Answer:

infinite solutions

Step-by-step explanation:

2 trains leave from the same point and travel along straight tracks that differ in direction by 72゚. If their speeds are 64 miles per hour and 52 miles per hour approximate how far apart they will be after 30 minutes

Answers

Answer:

34.44 miles

Step-by-step explanation:

Distance covered bty the two trains :

Distance = speed * time

Time = 30 minutes = 0.5hr

Distance of train 1 = 64 * 0.5 = 32 miles

Distance of train 2 = 52 * 0.5 = 26 miles

Included Angle = 72°

Using cosine rule :

a² = b² + c² - 2bcCosA

Let Distance between the trains after 30 minutes = a

a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)

a^2 = 1700 - 514.20427

a^2 = 1185.7957

a = sqrt(1185.7957)

a = 34.435

a = 34.44 miles

a clock bought for RS 120 and sold at 20 Percentage​

Answers

Answer:

Cost price of the cycle = Rs. 1200

Selling price of the cycles = Rs. 1500

SP > CP ⇒ there is a gain.

⇒ Gain = SP - CP = 1500 - 1200 = Rs. 300

∴ Gain Percentage =

CP

Gain

(100)%

=

1200

300

(100)%=25%

∴ The shopkeeper makes a profit of 25%

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