Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
[tex]x + y = 90[/tex]
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]
We now have a system of equations which we can solve to find the necessary mass of each type.
[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]
[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Step-by-step explanation:
Can someone please help me
Answer:
-10
Step-by-step explanation:
im not sure but maybe
Answer:
6
Step-by-step explanation:
b(x)=|x+4|
b(-10)=|-10+4| (subtitute -10 into x)
=|-6|
=6
because any num in modulus will become positive
Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale factor of 2 with the origin as the center of dilation. What are the coordinates of the resulting triangle X″Y″Z″? answers: A) X″(–4,8), Y″(–6,8), Z″(–6,16) B) X″(2,–4), Y″(3,–4), Z″(3,–8) C) X″(–2,4), Y″(–3,4), Z″(–3,8) D) X″(4,–8), Y″(6,–8), Z″(6,–16)
Answer:
X'' (-4, 8)
Y'' (-6, 8)
Z'' (-6, 16)
Step-by-step explanation:
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.
X (2, 4) -> (-2, 4) -> (-4, 8)
Y (3, 4) -> (-3, 4) -> (-6, 8)
Z ( 3, 8) -> (-3, 8) -> (-6, 16)
The simple interest on a principal amount, P, borrowed for Tyears at R% annual interest is given by the following
formula.
P.R.T
100
Which of the following describes the relationship between the variables of the simple interest formula?
OP depends on Rand T
OR depends on Pand T
I depends on P, R, and T
O R depends on /
Answer:
I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Step-by-step explanation:
We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :
Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]
So,[tex]I \propto P[/tex]
[tex]I \propto T[/tex]
[tex]I \propto R[/tex]
So, I depends on P , T and R
So, Option C is true .
Hence I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Answer:
I depends on P, R, and T
Step-by-step explanation:
Which function has a domain and range that includes all real values?
Answer:
Its c
Step-by-step explanation:
just did the quiz
what does BC equal ?
Answer:
28
Step-by-step explanation:
bc = df x 2
14 x 2 = 28
I hope this helps
What is the slope of the line represented by the equation Y= 4/5x-3
Answer:
4/5
Step-by-step explanation:
y=mx+b where m is slope
Answer: 4/5
Step-by-step explanation:
Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope
Does the point (4, 0) satisfy the equation y = –5x + 4?
Answer:
no
Step-by-step explanation:
y = –5x + 4
Substitute the point into the equation
0 = -5(4) +4
0 = -20+4
0 = -16
This is not true so it is not a solution to the equation
what is expected success
Answer:
Step-by-step explanation:
its basically the success you expect after the work you put in. success is not guarenteed here. thats all i got to say.
Answer: It is something you put a lot of time in to do something. Success is not Guarenteed here in this world. And that is a fact. I just started middle school and I barly past 6th grade. Life can be very hard for lot's of people. Don't give up because of one thing keep going. (And no I am not an old lady I am only 12 years old.) Have a very nice life. =D
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The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.
7 x + 12 y = 54. 5 x + 10 y = 60.
Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
1. The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
2. The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
3. The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
4. The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
5. The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.
Answer:
1, 2, 3, 4
Step-by-step explanation:
1) works 60y+(-60y)=0
2) works(-60y)+60y=0
3)works (-35x)+35x=0
4) works 35x+(-35x)=0
5) doesn't work (-35x)+100x doesn't equal 0
Answer:
1,2,3,4
Step-by-step explanation:
Can someone help me on these two questions?
Answer:
first is square and second in not rectangle I think it is trapezium
Please look at the image below. I NEED TO ANSWER THIS NOW!!
Answer:
Tbh i dont knw mahn .... i m poor and i need points to ask questions thats y m here
Step-by-step explanation:
Solve the following equation. Then place the correct number in the box provided.
7x=84
x=?
Answer:
7x=84
divide by 7
12=x
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
We are looking for the value of x. To find this, we must isolate x on one side. To do this, we can divide by 7 on both sides, leaving us with x=12.
Multiply
X2 + 4x + 2
2x2 + 3x - 4
A. 2x4 + 11x3 + 12x2 - 10x - 8
B. 3x2 + 7x-2
C. 2x4 + 23x2 - 10x - 8
D. 2x4 + 12x2 - 8
Select the term that does NOT describe the triangle. Select all that apply
acute
Isosceles
Obtuse
Acute is the term which does not describe the given triangle.
In the given triangle with sides 11, 11 and angles 30, 30, 120 degrees:
"Acute" is a not a valid term because all angles in the triangle (30, 30, and 120 degrees) are not less than 90 degrees.
"Isosceles" is a valid term because the triangle has two equal sides (11, 11).
"Obtuse" is applicable because an obtuse triangle have one angle greater than 90 degrees, 120 degrees is greater then 90 degrees.
Therefore, "acute" is the term that does not describe the triangle.
To learn more on Triangles click:
https://brainly.com/question/2773823
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A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?
Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
= [tex]\frac{60}{75}[/tex] · 100
= 0.8 · 100
= 80%
The percentage error of the student's measurement is 25%.
Given the following data;
Experimental value = 75 liters Real value = 60 litersPercentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, percentage error is given by this expression;
[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]
Substituting the values into formula, we have;
[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]
[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]
Note: The negative sign is neglected in percentage error.
[tex]Perecent \; error = \frac{1}{4} * 100[/tex]
Percent error = 25%
Therefore, the percent error is 25%.
Find more information: https://brainly.com/question/3105259
what is the value of W
Answer: 28
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
2) Michael makes a purchase of $3,500 for a new fridge using a credit card that has an APR of 15%. He makes monthly payments of $150. What is the total amount of interest based on the APR?
Answer:
I do believe the answer is $675
Step-by-step explanation: I just took 15% of 3,500 and added it to the monthly 150
Find the length of the segment QS.(Enter the just the value, without any units.)
Answer:
QS = 15
Step-by-step explanation:
Thales
QS/QT = RS/PT
QS = QT·RS/PT
= 20×12/16
= 240/16
= 15
Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Step-by-step explanation:
The translation [tex]T_{(3,-1)}[/tex] shows that we need to add three units to the x-cordinates and -1 units to y-coordinates, as follows
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Therefore, the image of the coordinates are
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
what point is located on the graph of any proportional relationship
Answer:
At the end
Step-by-step explanation:
Simplify x^-3*(y^8*z^5)/x^-2*y^-7*-6
EMERGENCY REALLY NEED HELP only answer this one queastion and i will give brainly and 30 points PLEASE HELP ME JESUS
Answer:
boundary lines are parallel
Step-by-step explanation:
When there are no solutions to a system of equations which consists of two lines, it means the lines are parallel, but have different y intercepts. This happens when the boundary lines are parallel
Answer:
The boundary lines are parallel
Two trains leave the same station at the same time
and travel in opposite directions. One train travels
at 80 kilometers per hour and the other at 100
kilometers per hour. In how many hours will they
be 900 kilometers apart?
2 hours
3 hours
4 hours
5 hours
Answer:
D. 5 hoursStep-by-step explanation:
rt=d
rt+rt=900
80t+100t=900
180t=900
18t=90
2t=10
t=5
5 hours
80*5+100*5=900
the ratio of adults to children in a schoolyard is 2 to 23. if there are eight adults in the schoolyard, how many children are there?
Answer:
92
Step-by-step explanation:
If the ratio of adults to kids is
2:23
it will also be equal as
8:92
Multiplying each half times 4!
pls help me out and thx for who answers this
Answer: 3: 42.49
Step-by-step explanation:
_________________________________
Hey!!
Solution,
Marked price (MP)=$ 49.99
Discount percent=15%
Sale price (SP)=?
Now,
Discount amount=discount% of MP
=15% of 49.99
=$7.4985
Again,
Sale price=MP- Discount
=49.99-7.4985
=$ 42.49
So the sale price is $42.49
Hope it helps..
Good luck on your assignment
_____________________________
Ok, sorry, I'm back hehe >:3 (Find the volume of a right cone that has the radius of 4 inches and the height of 12 inches) (Again, will give brainliest to first responder, and if CORRECT!) TwT
Which graph represents a proportional relationship?
plz help me with these problems
Answer: number 16 is d
number 20 is d
Step-by-step explanation:
Answer:
The answer for 16 is A, the answer for 20 is D, and the answer for 25 is A
Step-by-step explanation:
For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.
For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces
For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.
Which equation can be used to find the measure of angle LKJ?
cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Answer:
fourth option
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )
Answer:
D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]
Step-by-step explanation:
Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.
sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.
Write an algebraic rule to describe the translation B(3,2)→ 8'(-5,0).
Answer:
<-8,-2>
Step-by-step explanation:
Answer:
(x - 8, y - 2)
Step-by-step explanation:
x-coordinates:
3 and -5
How do you get from 3 to -5?
You subtract 8
This means:
x - 8
y-coordinates:
2 and 0
How do you get from 2 to 0?
You subtract 2
This means:
y - 2
Put it together:
(x - 8, y - 2)
Therefore, the algebraic rule is subtract 8, subtract 2.
