Answer:
[tex]300\; \rm lb[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the mass (in pounds) of that [tex]15\%[/tex] copper alloy required, such that the final mixture would contain [tex]25.5\%[/tex] copper by mass.
Consider: if [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy is mixed with [tex]700[/tex] pounds that [tex]30\%[/tex] copper alloy, what would be the mass of copper in the mixture?
Mass of copper in [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy: [tex](0.15\, x)\; \rm lb[/tex].Mass of copper in [tex]700[/tex] pounds of that [tex]30\%[/tex] copper alloy: [tex]700 \times 0.30 = 210\; \rm lb[/tex].Therefore, the mixture would contain [tex](210 + 0.15\, x) \; \rm lb[/tex] of copper.
The mass of that mixture would be [tex](700 + x)\; \rm lb[/tex]. The mass fraction of copper in that mixture would be:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%[/tex].
This ratio is supposed to be equal to [tex]25.5\%[/tex]. These two pieces of equations combine to give an equation about [tex]x[/tex]:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%[/tex].
[tex]\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255[/tex].
Simplify and solve for [tex]x[/tex]:
[tex]210 + 0.15\, x= 0.255\, (700 + x)[/tex].
[tex](0.255 - 0.15)\, x= 210 - 0.255 \times 700[/tex].
[tex]\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300[/tex].
Therefore, [tex]300\; \rm lb[/tex] of that [tex]15\%[/tex] alloy would be required.
Juice A cost 0.10 cent more per ounce than juice B. 12 ounce juice A cost $5.64 total. How much per ounce juice B cost
Answer:
5.64/12= .47 but that box cost 10cents more than box B so you then you subtract .10 and get .37 per ounce for box B
4 less than a number n is −15.
Answer:
n-4= -15
Step-by-step explanation:
"4 less than a number n" is represented by n-4.
it says it "is" -15, so this equals -15.
n-4= -15
A mug of coffee cools down
1/2
of a degree in
1/5
of an hour. At what rate is the coffee cooling?
I need it now pleaseeee
Answer:
2 1/2
ggez
Step-by-step explanation:
Isabel bought a suit on sale for $561. This price was 34% less than the original price.
What was the original price?
Answer:
751.74
Step-by-step explanation:
561*.34=190.74
561+190.74=751.74
Answer
The suit being 27% less than the original also means he paid 73% of the original price (x). So,
0.73x=561
x=561/0.73
x=409.53
Original price was 409.53. Fancy suit. Step-by-step explanation:
there you go...
What multiplication expression is equivalent to 2/3÷1/2
The point is on the x acis and 12 units to the left of y axis
Answer:
(-12, 0)
Step-by-step explanation:
They are asking for the coordinates of the given point on the plane.
Therefore, since the point is on the x axis, we know that its y-coordinate must be zero. y = 0
Now, since it is 12 units to the left of the y axis, then its x coordinate is -12
x = -12
Therefore, the point in plane coordinates is written as: (-12, 0)
Find the value of x.
Answer:
20
Step-by-step explanation:
angles on a straight line
(x+20)+7x
open bracket
8x +20 = 180
collect like terms
8x= 180-20
8x=160x
x=160/8
x =20
What is the mean of 5, -15, 7, -13, 1
Answer:
-3
Step-by-step explanation:
Add them all up and then divide by 5
PLEASE HELP ME IM BEING TIMEDD
Answer: There are 7 possible arrangments
Step-by-step explanation:
If you try to break down 150 you'll find that you'll be able to divide/ multiply it by 10,15,2,3,12,5,50
44 plus 48 distributive property
Answer:
92
Step-by-step explanation:
44 plus 48 can be rewritten as:
4(11 + 12), which, in turn, simplifies to:
4(23), or 92
Next time, please include all of the instructions. Thank you.
Help! Please. I don’t know what to do. I got this wrong.
Answer: 2/5 40%
Step-by-step explanation:
Write the ratio as a unit rate. Simplify. 216 diving student and 12 instructor
Answer:
Ratio students to classroom in school A equals 216:12 which simplifies to 18:1. Ratio students to classroom in school B equals 104:4 which simplifies to 26:1.Total students combining school A and B equals 216+104=320 and Total classroom 12+4=16, if both school combined are assumed to be a single school C, than ratio of of students to the classroom in school C equals 320:16 which simplifies to 20:1 which means 20 students in every classroom, now total students in 4 classroom of School C equals 20x4=80, these 4 classroom are separated as School B and other 12 classroom School A, now ratio still 20:1 (same in both schools). initially students in School B were 104 and now are 80, then total students transferred equals 104-80= 24.
Simplify y + (15 + y)
Answer:
2y + 15
I hope this helps!
Remove the parenthesis:
y+15+y
Group like terms:
y+y+15
Add similar elements:
2y+15
-4 1/2-(-2 2/3) step by step pls help if someone dosen`t answer i might fail pls if you do i will cashapp you 100 bucks just leave your cashapp in the answer
Answer:
you can use a calculator ( keep your money )
Step-by-step explanation:
The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.
The force of the rope is equal to the negative of the tension on the rope and the force of gravity.
Which table shows the values when combining the functions to find the force of the rope?
Answer:
B
Step-by-step explanation:
To answer this question, we can just pick a couple of points and see which table gives the correct values.
Test Value 1)
Let's let m be 0.5.
So, our output will be:
[tex]-(T(0.5)+G(0.5))[/tex]
From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:
[tex]=-(1.25+4.9)[/tex]
Add:
[tex]=-6.15[/tex]
So, when m is 0.5, our output should be -6.15.
The only choice that does this is B. So, B is our correct answer!
However, let's do another test point just to confirm.
Test Value 2)
Let's let m be 1.2.
So, our output will be:
[tex]-(T(1.2)+G(1.2))[/tex]
From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:
[tex]=-(3+11.76)[/tex]
Add:
[tex]=-14.76[/tex]
The only choice that does this is B. So, we are confident that B is our answer.
And we're done!
Answer:
B
Step-by-step explanation:
Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.
Answer:
M(1)
Step-by-step explanation:
(Please see the attached picture to better visualize the number line)
What we know:
- Point A is at -1.5 on the number line
- Point B is at 6 on the number line
- AM:MB=1:2
From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.
1. Find the distance between point A(-1.5) and point B(6)
6-(-1.5)
= 6+1.5
= 7.5
2. Divide this distance into thirds
7.5/3
= 2.5
Now, we know that one third of the distance between AM and BM is 2.5.
3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)
-1.5+2.5
= 1
I hope this helps! Please comment if you have any questions.
how to solve this problem 3x+5=2x+1
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = 2x + 1
Reorder the terms:
5 + 3x = 2x + 1
Reorder the terms:
5 + 3x = 1 + 2x
Solving
5 + 3x = 1 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
5 + 3x + -2x = 1 + 2x + -2x
Combine like terms: 3x + -2x = 1x
5 + 1x = 1 + 2x + -2x
Combine like terms: 2x + -2x = 0
5 + 1x = 1 + 0
5 + 1x = 1
Add '-5' to each side of the equation.
5 + -5 + 1x = 1 + -5
Combine like terms: 5 + -5 = 0
0 + 1x = 1 + -5
1x = 1 + -5
Combine like terms: 1 + -5 = -4
1x = -4
Divide each side by '1'.
x = -4
Simplifying
x = -4
Answer:
x = -4
Step-by-step explanation:
To solve the given equation, we must find a value of x that satisfies the equation.
3x + 5 = 2x + 1
Subtract 2x from both sides.
x + 5 = 1
Subtract 5 from both sides.
x = -4
So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.
I hope you find my answer and explanation to be helpful. Happy studying.
You own your own bakery. In the cooler you have 3 chocolate cakes and 4 vanilla cakes. In the warmer you have 1 pumpkin pie, 5 apple pies and 3 blueberry pies. What is the ratio of pies to cake you have available?
Answer: You have 9 cakes for every 7 cakes. I hope this helps!
Explanation: You add up everything on both sides to get your answer!
Answer: yes and it is yes sisiwfereffffffffffffr
На сколько процентов уменьшится объем прямоугольного параллелепипеда, если его длину уменьшить на 25%, а ширину и высоту на 20%?
Answer:
I dunno what your saying.
Step-by-step explanation:
Please us English
2x4–5x3+x2+3x+2 for: x=-5
Answer:
667
Step-by-step explanation:
2x^4–5x^3+x^2+3x+2
2(5)^4 -5(5)3+5^2+3*5+2
2*625 - 5*125+25+15+2
1250-625+25+15+2
625+42
667
A bottle that contains hand sanitizer is in the shape of a pyramid with a rectangular base. The length of the base is 2 inches, and
the height of the bottle is 6 inches. Suppose the volume of the bottle is 24 in?. Calculate the width of the base of the bottle.
A)
1 inch
B)
3 inches
4 inches
D)
6 inches
Answer:answer 4
Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24
A) 7.746
B) 37.947
C) 30.984
D) 33.941
9514 1404 393
Answer:
B) 37.947
Step-by-step explanation:
Using the given formula, we find ...
s = (12 +11 +7)/2 = 15
A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards
In a diamond problem solver what is 3.25 and 4 I need help ASAP
Answer:12 I believe
Step-by-step explanation:
Double click in the red boxes to fill in your answers!
Domain:
Range:
Local Relative Min:
Local Relative Max
Global Absolute Min:
GlobalAbsolute Max
Increasing intervals:
Decreasing Intervals:
x-intercepts:
y-intercepts:
End Behavior
LEFT: NONE
RIGHT: X - Y -
Answer:
More information or the graph your talking about is needed to answer this
Step-by-step explanation:
Add 1 to half of h.How to write in algebraic expression?
Which point is inside of the triangle?
hurry and answer.
Answer:
the answer is C. ............
How is 24/27 written as a fraction
Answer:
twenty-four and twenty-sevenths
Step-by-step explanation:
Find the value of x.
(9x + 1)
(11x – 23)
Which table of ordered pairs represents a proportional relationship?
Answer:
C
Step-by-step explanation:
The points in C, when graphed, have a positive slope as well as going up or down by the same amount each time
-3-2=-5-2=-7
5-2=3-2=1
WHAT DOES HIT IT FROM THE BACK MEAN?
Step-by-step explanation:
hit the what now . wut that ;-;