The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.
How to calculate proportions of components associated to an alloy
Herein we must create a new alloy by using correct quantities of two alloys with distinct copper concentrations. All required information can be found by concept of weighted averages:
(62/100) · (48 lb) = (39/100) · x + (65/100) · (48 - x)
62 · 48 = 39 · x + 65 · 48 - 65 · x
3 · 48 = 26 · x
x = 5.538 lb
The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.
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A = 5x^2+3xy-7y^2 B = -x^2+2xy+8y^2 B, minus, A, equals
I WILL GIVE BRAINLYIST!!!!!!!!!!! Help!!!!!
Answer: -6x^2-xy+15y^2
Step-by-step explanation:
The value of B-A is -6x²-xy+15y² .
What is an Equation ?A statement where the algebraic expressions are equated with an equal sign with each other is called an Equation.
It is given that
A = 5x²+3xy-7y²
B = -x²+2xy+8y²
To calculate is B - A
B- A = ² (-x²+2xy+8y²) - (5x²+3xy-7y² )
B-A = -x²+2xy+8y² - 5x²- 3xy +7y²
B-A = -6x²-xy+15y²
Therefore the value of B-A is -6x²-xy+15y² .
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11x + x = 60
full answer pls
Answer:
Step-by-step explanation:
one hundred twenty-three and thirty hundreths. in decimal form
Answer:
0.2330
Step-by-step explanation:
39°
.(91-x9)
What solves for x
When a point is reflected across a line of reflection, it remains the same distance from the line.True or False
Answer:
True
Step-by-step explanation:
To answer this question, I will use the following illustrations.
Assume a point (x,y) is reflected across the x-axis.
Using reflection rule, the new point will be: (x,-y)
On a coordinate plane, the x-axis is represented as: (x,0)
So, we will calculate the distance between (x,y) and (x,0) and also calculate the distance between (x,-y) and (x,0) using the following distance formula.
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between (x,y) and (x,0)
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]D= \sqrt{(x - x)^2 + (0 - y)^2}[/tex]
[tex]D= \sqrt{(0)^2 + (- y)^2}[/tex]
[tex]D= \sqrt{0 + y^2}[/tex]
[tex]D= \sqrt{y^2}[/tex]
[tex]D = y[/tex]
Distance between (x,-y) and (x,0)
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]D= \sqrt{(x - x)^2 + (0 - (-y))^2}[/tex]
[tex]D= \sqrt{(0)^2 + (0+y)^2}[/tex]
[tex]D= \sqrt{0 + y^2}[/tex]
[tex]D= \sqrt{y^2}[/tex]
[tex]D = y[/tex]
See that the calculated distance are equal.
Hence, the given statement is true
the graph of y=-3x+2, state the domain and the range
Answer:
Domain: (-∞,∞)
Range: (-∞, ∞)
Hope this helps.
what is the slope of this line? -2x + 3y =-6
Answer:
Slope: 2/3
Step-by-step explanation:
You have to first write the equation into slope-intercept form...
y = mx + b
So...
-2x + 3y = -6
becomes...
3y = 2x - 6
y = 2/3x - 2
Which means...
2/3 is the slope
Hope this help :)
Let me know if there are any mistakes!!
A cake recipe calls for 2 1/4 cups of flour. Mrs Allen measured 3/4 cup of whole wheat flour and plans to use bleached flour for the remainder. How much bleached flour should she use?
Answer:
she should use 1 2/4 cups of bleached flour
what's the answer for 1/2 of 3/5?
Answer:
3/10
Step-by-step explanation:
Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 12 – (–9)
Answer:
21
Step-by-step explanation:
12 - (-9)
Open The bracket :
Recall: - * - = +
Hence,
12 + 9 = 21
A typical person takes about 24000 breaths each day. Write an equation you can use to find the number of breaths a typical person takes each minute.
Step-by-step explanation:
Welp if a typical person takes 24000 breaths each day that's means
24000÷24=1000
so that's means 1000 per hour
if a hour take 60 Min that's mean
1000÷60=16.6666667 don't tell me I'm not sure about this answer and not really good at this :p
PLEASE HELP ME WITH THIS I HATE SCHOOL
Answer:
B.)[tex]\sqrt{245}[/tex]
Step-by-step explanation:
[tex]\sqrt{245}[/tex]=15.65
7[tex]\sqrt{5}[/tex]=15.65
Hope this helps! :)
Answer:
its is B
Step-by-step explanation:
I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
I think the answer is 0>y
Answer:
option 1 and 2
Step-by-step explanation:
edge 2021
The standard form of y = 5(x + 4)(x + 5) is
Answer:
mark me as brainliest plz
Answer:
21 is Correct answer hope you will like it
A store sold 281 dresses last year. The store makes a profit of $35 for each dress sold.
How much did the store make from selling the dresses?
Answer:
9,835
Step-by-step explanation:
Can someone help me in this math problem? It’s a picture of the problem if you can!
Kim got to the store at 11:19 in the morning. She spent 24 minuets in the store how many minuets after she got to the store and left?
Answer:
11:43 am
Step-by-step explanation:
Given data
Time of arrival= 11:19 am
We are told that she spent 24 minutes in the store
Based on this, we can estimate the time she left the store
The time she left
=11:19+ 24
=11:43 am
Hence she left 11:43 am
Can i get the answers i need them or else i fail
An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10
Answer: See explanation
Step-by-step explanation:
Second term = a + d = 28 ....... i
Fifth term = a + 4d = 52 ......... ii
Subtract equation I from ii
3d = 24
d = 24/3 = 8
d = common difference = 8
Since a + d = 28
a + 8 = 28
a = 28 - 8 = 20
First term = a = 20
u10 = a + (n-1)d
= a + (10-1)8
= 20 + (9 × 8)
= 20 + 72
= 92
The greatest common factor(GCF) of LaTeX: x^7,\:x^3,\:x^5\:is\:_{ }__________.
Answer:
x^3Step-by-step explanation:
We are to find the greatest common factor of x^7, x^3 and x^5
x^7 = x^3 * x^4
x^3 = x^3 * 1
x^5 = x^3 * x^2
From both factors, we cam see that x^3 is common to the three, hence the GCF is x^3
if p is the smallest of four integers, what is their sum interms of P
Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
can someone please help me??
Answer:
There is only one solution and it is the point of intersection
Step-by-step explanation:
50 points for this helpppp plzz
Answer:
ok
Step-by-step explanation:
Answer:
srry I needed the points hope u don\t mind
Step-by-step explanation:
I NEED HELP PLEASE. I WILL GIVE BRAINLIST IF RIGHT!
Answer:
Shift f up by 1 unit
Step-by-step explanation:
The email address lol
find the side of the square whose perimeter 20 m
Calculate the unit price of the following item:
Chocolate chip cookies cost $2.79 per package and
there are 30 cookies inside. What is the price per
cookie? *
find the missing measure
Answer:
Step-by-step explanation:
what is the equivalent Ratios to 18:15
Answer:
6:5 in simplest form
Step-by-step explanation:
Answer:
6:5
Step-by-step explanation:
The greatest common factor, and only shared factor is 3. Use three and divide on both sides to get 6 and 5
7.1 as a percentage
Answer:
its 710%
Step-by-step explanation:
710% hope it helps!
Nathan Reynolds bought a car for $15,000. He made a down payment of $3,000. Nathan secured a loan for the balance of the purchase price at 8 percent interest for four years.
determine the monthly payment and total interest
Answer:
1) The monthly payment is approximately $292.96
2) The total interest is approximately $2,061.84
Step-by-step explanation:
1) The financing method Nathan Reynolds applied to buy the car is given as follows;
The purchase price of the car = $15,000
The down payment made for the car = $3,000
The
The interest on the loan he took for the balance of the purchase price, R = 8%
The number of years for which he took the loan, n = 4 years = 48 months
We have;
The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)
∴ The balance of the purchase price = $15,000 - $3,000 = $12,000
The balance of the purchase price = $12,000 = The loan Nathan secured
The monthly payment on a loan is given by the following formula
[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]
Where;
A = The payment amount made monthly
P = The principal or loan amount = $12,000
r = The interest rate divided by 12 = R/12 = 8/12 = 2/3
n = The number of months the monthly payment will be made = 48 months
By plugging in the variable values, we get;
[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]
Therefore, the payment amount made monthly, A ≈ $292.96
2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84
The total payment made in the 48 months ≈ $14,061.84
The total interest = (The total payment made in the 48 months) - (The loan amount)
∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84