The princess of the Kingdom of Abundance accidentally drops her magic salamander's feeding bowl into a fire. She orders a new feeding bowl to be made out of Dragon Alloy #18, which is 86% magic steel and the rest titanium. The
dwarfs have a lot of Dragon Alloy #33, which is 28% titanium. How much of
that alloy and how much magic steel should they combine to make 700 grams of Dragon alloy #18?

Answers

Answer 1

350 grams of magic steel and 350 grams of dragon alloy #33 is needed to make 700 grams of Dragon alloy #18.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of magic steel and y represent the amount of alloy #33, hence:

(0 * x) + (y * 0.28) = 700(1 - 0.86)   (1)

Also:

x + (1 - 0.28)y = 0.86(700)    (2)

From both equations:

x = 350, y = 350

350 grams of magic steel and 350 grams of dragon alloy #33 is needed to make 700 grams of Dragon alloy #18.

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Related Questions


what is 6% of $4100.

Answers

Answer:

$246

Step-by-step explanation:

6 percent of $4100 is $246

3x- 4x + x
Like terms or not Like terms?

Answers

Answer:

like terms

Step-by-step explanation:

they all are terms that include the letter x

Answer:

It should be Like Terms

Explanation:

Like terms are the terms which have the same variables with same exponent for each variable.

Example :

7x, 3x, - 4x

Unlike terms are the terms which have same variables or different variables.  

If they have same variables, the exponents will not be same.  

Example :

9x2, 5xy, - 4xy2, y, 6

Can someone help me with this?

Answers

Answer:

ᴀ.)

Step-by-step explanation:

Hope you get it right!! :)

Solve the inequality 2n – 1 < 39​

Answers

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

How can you tell how many solutions a linear equation will have by looking at the equation?

Answers

Answer:

A system of two equations can be classified as follows

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 50 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

m= 25 and b= 450

y= 25x+450

I believe proportional

positive slope

please correct me if I am wrong

A right triangle has leg lengths of 2.7 cm and 4.8 cm. What is the length of the hypotenuse? (Round to the nearest hundredth if necessary.)

Answers

Answer:

nñœñtîęñ do îñglęs...ææ

If you split the clock, which is a 360 degree circle into 10- minute intervals, what is the central angle of each interval?

Answers

Answer:

Since 15 mins are 90 degrees

10 mins are 60 degrees

Jonathon saves $4,000 at the end of each quarter for 10 years. Assume 12% compounded quarterly and find the present value.
A. $35,008.24
B. $92,459.08
C. $105,623.10
D. $88,459.08

Kaitlyn hopes to attend a college where tuition is $24,000 per year. She believes that tuition will increase at 4% for the 3 years until she plans to enter college. Find the quarterly payments needed to accumulate funds to pay the first year’s tuition if funds earn 8% compounded quarterly.
A. $1,597.20
B. $34.05
C. $2,012.87
D. $2,561.30

Answers

Answer:

Results are below.

Step-by-step explanation:

1. First, we need to calculate the Future Value:

FV= {A*[(1+i)^n-1]}/i

A= quarterly deposit

n= 10*4= 40

i= 0.12/4= 0.03

FV= {4,000*[(1.03^40) - 1]} / 0.03

FV= $301,605.04

Now, the present value:

PV= FV/(1+i)^N

PV= 301,605.04/(1.03^40)

PV= $92,459.09

2. First, we need to calculate the value of the first year of college:

FV= PV*(1+i)^n

FV= 24,000*(1.04^3)

FV= $26,996.74

Now, the quarterly payments:

FV= {A*[(1+i)^n-1]}/i

A= quarterly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

i= 0.08/4= 0.02

n= 3*4= 12

A= (26,996.74*0.02) / [(1.02^12) - 1]

A= $2,012.87

A newsletter publisher believes that less than 25% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

Answer:

There is enough evidence at the 0.05 significance level that the percentage is less than 25%.

Step-by-step explanation:

The question has no options. However, there are enough details to arrive at a conclusion.

Required

What can we conclude about the claim of the publisher.

From the question, we understand that the null hypothesis is rejected.

In statistics, a hypothesis is rejected, if the level of significance is less than the required or determined value.

In this case, the determined value 25% and the level of significance is 0.05

So, the conclusion on the claim is that there is enough evidence at the 0.05 significance level that the percentage is less than 25%.

how many square yards of carpet are needed to completely cover a rectangular floor that measures 15 feet by 9 feet?​

Answers

Answer:

0.6

Step-by-step explanation:

PLEASE ANSWER!! will mark brainliest​

Answers

Answer:

it's the second one

Step-by-step explanation:

a^7/a^13

=1/a^6

=1/(a^2)^3

= 1/ 3√(a^2)^3

=1/(a^2)

(c^3)^3

=3√(c^3)^3

=(c^3)

hence as these results matches so I think option b is correct.

Work out the area of the shaded shape.
3cm
3cm
11cm
4cm
The diagram is not drawn to scale.​

Answers

Answer:

I don't exactly know so just use a calculator.

Step-by-step explanation:

I think you multiply it all to get the answer.

is (3,8) a solution to this system of eqautions?
y=7x+8
y=x+1
Yes or No?

Answers

Answer:

Step-by-step explanation:

plug the numbers in and see if it is true

x=3, y=8

y=7x+8

8=7(3)+8

8=29

is not true, so it is not a solution. even if it might be a solution for the other equation, it is not true for this equation so it is not a solution for this system

how to find an equation: since y=7x+8 and y=x+1, then

7x+8=y, and y=x+1

7x+8=y=y=x+1

7x+8=x+1

6x+8=1

6x=-7

x=-7/6

y=x+1

y=-1/6

solution: (-1 1/6, -1/6)

How can square roots be written so that the radicand has no square factors?

Answers

Answer:

You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.

e.g.

[tex]\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}[/tex]

A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?



Answers

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

i need help with #4 please help

Answers

Answer:

12b-8+12b-8+9b +8=33b-8

an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer:

Height, h = 20.99 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99mm.

Therefore, the height of the cone is 20.99 millimeters.

The number of points scored by the girls basketball team in their last ten games are listed below. Which measure of center best describes the data? 38, 42, 45, 39, 48, 46, 39, 42, 45, 72

Answers

Answer:

median i think

Step-by-step explanation:

If sheeren had 7 friends and lost two how much would she have?

Answers

Answer:

sheeren would have 5 friends

Step-by-step explanation:

PLS HELP ASAP GIVING 35 POINTS... If a rock has a mass of 1.5 - g / mL and displaces 5-mI. of water, what is the mass of the rock?

Answers

The answer is 4.5 grams(:

Which of the following choices describes the sequence 12, 17, 22, 27, 32,…?
A. each term has two more than the previous term
B. each term has five more than the previous term
C. each term is twice the previous term
D. None of these choices are correct.

Answers

Each term has five more than the previous term

12+5=17

20-20+3847x1,00,000,000=?

Say #relatable if this is you

Answers

Answer: 384,700,000,000

Step-by-step explanation:

Answer:

20-20+3847x1,00,000,000 =

348699999982

Step-by-step explanation:

lol not me

One face of a cube-shaped package has an area of 7 5/8 square inches what is the lateral surface area of the package in square inches

Answers

Answer:

232.57 square inches

Step-by-step explanation:

The computation of the  lateral surface area of the package in square inches is shown below;

Let us assume the area of cube is a

Given that

a = [tex]7 \frac{5}{8}\ in^2[/tex]

As we know that in a cube there is a four faces so the lateral surface area would be

[tex]= 4a^2\\\\=4\times 7\frac{5}{8} ^2\\\\= 4\times (\frac{61}{8})^2\\\\= 4\times \frac{3721}{64} \\\\= 232.57[/tex]

= 232.57 square inches

Instant brainliest please help.

Answers

Answer:the second one

Step-by-step explanation:

The second one is the answer

Read the picture carefully...there can be more than ONE ANSWER

Answers

Answer:

D

Step-by-step explanation:

PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer

Answers

Answer:

he has 0.56 cents

Step-by-step explanation:

Answer:

I think the answer is 30.24

take off that is because 35 - 20% equals$28 plus 8% tax equals 30.24 so that's how I got that

Fionn observed that 91\%91%91, percent of the background checks he processes are for potential employees who have already interviewed. Let BBB be the number of background checks Fionn processes to get his first background check for a potential employee who has not yet interviewed for the job. Assume that the interview statuses are independent. Find the probability that the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript background check that Fionn processes is the first for which the potential employee has not yet interviewed.

Answers

Answer:

0.05

Step-by-step explanation:

checked via khan academy

Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.

What is probability?

Probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.

We want to find that the first order placed by a new customer is the 5th.

We have that:

8% = 0.08 probability that an order is placed by a new customer.

1 - 0.08 = 0.92 = 92% probability that an order is placed by an old customer.

Probability that the first order placed by a new customer is the 5th:

First four all old, each with 0.92 probability.

Firth new, with 0.08 probability. So

[tex]p=(0.94)^4\times 0.08=0.0573[/tex]

Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.

To know more about probability follow

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bro please help me ill give brainliest to the first one to answer correctly. its for some iready assessment

Answers

Answer : B


Explanation : trust me bro

Answer:

The answer should be B

Step-by-step explanation:

Car A traveled farther at the same rate as Car B but A travelved more so  the answer is B

which is the product of 15 5\12 A. 5 5\12 B. 6 1\4 C. 7 1\12 D. 7 3\4

Answers

Answer:

6 1/4

HOPE THIS HELPS!!!!!

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