Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Answers

Answer 1

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

Answer 2

84 ounces of pure gold must be added

The first is to write out the parameters

Jess has 60 ounces of alloy

40% of this alloy is pure gold

The number of ounces that should be added can be calculated as follows;

Let y represent the unknown

40/100(y)(60) + 100/100(y)= 75/100(60+y)

24 + y= 0.75(60+y)

25 + y= 45 + 0.75y

24 - 45= 0.75y -y

-21= -0.25y

y= 21/0.25

y= 84

Hence the number of ounces of pure gold required is 84 ounces

Please see the link below for more information

https://brainly.com/question/3922146?referrer=searchResults


Related Questions

Expand (- 3a - 5x) (- 2b - 4y).​

Answers

Answer:  −3a(−2b−4y).−5x(−2b−4y). to this  

6ab+12ay+10bx+20xy

Step-by-step explanation: hope this helps :)

Answer:

( −3a − 5x ) ( −2b − 4y )

= ( −3a + − 5x ) ( −2b + −4y )

=( −3a ) ( −2b ) + ( −3a ) ( −4y ) + ( −5x ) ( − 2b ) + ( − 5x ) ( − 4y )

= 6ab + 12ay + 10bx + 20xy

Hope it helps

Please mark me as the brainliest

Thank you

Jack correctly wrote another expression, 100−2t 100 - 2 t , to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.

Answers

Complete question :

Kate had 50 tickets to use for rides at the fair. She lost some of them. Her dad doubled the tickets she had left. Kate wrote the expression 2(50−t) to find the number of tickets she has now, where t t is the number of tickets she lost. Jack correctly wrote another expression, 100−2t, to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.

Answer:

50 means Kate's initial number of tickets

t = number of tickets she lost

2 = multiple by which her dad gave ; two times the number of her remaining tickets.

100 = double the number of initial tickets

2t = two times the number of tickets lost

Step-by-step explanation:

Kate's expression :

2(50 - t)

50 means Kate's initial number of tickets

t = number of tickets she lost

2 = multiple by which her dad gave ; two times the number of her remaining tickets.

Jack's expression:

100 - 2t

Jack's expression is an expanded for of Kate's equation

100 = double the number of initial tickets

2t = two times the number of tickets lost

2(50 - t) :

(2 * 50) - (2 * t)

100 - 2t

Find The Volume (nearest integer):*

Answers

Answer:

3053.63 or to the nearest integer 3054

Step-by-step explanation:

Volume formula of a sphere

[tex]V=4/3\pi r^3\\V=4/3*\pi *9^3\\V= 3053.63 \\[/tex]

Rounded off = 3054

NEED HELP ASAP! TY IN ADVANCE <3 DO THE TABLE OF VALUES AS WELL!

Answers

Answer:

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Step-by-step explanation:

table of values

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = 2( - 2 )² + 5 = 2(4) + 5 = 13

[tex]y_{2}[/tex] = 2( 0 )² + 5 = 5

[tex]y_{3}[/tex] = 2( 1 )² + 5 = 7

[tex]y_{4}[/tex] = 2( 6 )² + 5 = 77

Range: { 5, 7, 13, 77 }

Order the steps to solve the equation log(x2 - 15) = log(2x) form 1 to 5.
x² – 2x - 15=0
Potential solutions are -3 and 5
x² – 15 = 2x
X-5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0

Answers

step 1: x²-15=2x
step 2: x²-2x-15=0
step 3: (x-5)(x+3)=0
step 4: x-5=0 or x+3=0
step 5: x=5 of x=-3

Answer:

Took L for my gang   keep working hard

Step-by-step explanation:


At work, Mr. Grinnell receives 20 phone calls every 60 minutes. How many calls should he expect to receive in 180 minutes?
60
80
100
40

Answers

Answer:

Use a ratio.

20/60 = x/180

180/60 = 3, so 20*3 is 60.

The answer is 60.

Answer:

60

Step-by-step explanation:

Find out how many phone calls Mr. Grinnell receives in 1 minute.

60 mins = 20

1 min = 20 ÷ 60 = 0.333

180 mins = 0.333 x 180 = 59.94

59.94 rounded to the nearest whole number = 60

The slope of the tangent to a curve at any point (x, y) on the curve is negative x divided by y . Find the equation of the curve if the point (2, -2) is on the curve.

x + y = 0
x^2 - y^2 = -2
x^2 + y^2 = 16
x^2 + y^2 = 8

Answers

Answer:

.

Step-by-step explanation:

.

Answer:

i belive its x^2 + y^2 = 8

Step-by-step explanation:

One angle of an isosceles triangle measures 48°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

70° and 62° could be the other angles in that isosceles triangle

can someone help.. i’ll chose brainliest if best

Answers

Answer:week 3 and week 1

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

b) Select all expressions that can be used to find 85% of 280.
A. O
8.5
10
280
B.
0.85
100
280
c. O
85
100
• 280

Answers

Answer:

238

Step-by-step explanation:

85%of 280 is 238 ok.......

I AM BEGGING, PLEASE HELP ME. CAN SOMEONE PLEASE HELP ME!

I NEED IT QUICK:
WHAT IS THE VALUE OF X - YOU DONT HAVE TO EXPLAIN YOUR ANSWER I JUST NEED THE VALUE OF X

Answers

Answer:

37.5

Step-by-step explanation:

180-75 = 105

180 is the sum of all the angle in a triangle

180-105 = 75

75/2 = x becuz the triangle is icoceles

=37/5

Hope this helps :) Giving me brainiest would help a lot :))

Expand to write an equivalent expression: −14(8x+12y)
Factor to write an equivalent expression: 36a−6
Pls solve these quick

Answers

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

-----------------

36a-6

6(6a-1)

Answer:

Step-by-step explanation:

yassssssss

(x^7 + 3x^6 - x^2 + 4) + (3x^7 - x^4 + 3x^2 - 9) add

Answers

4x^7 + 3x^6 - x^4 + 3x^2 - 5

Answer:

4x^7 + 3x^6 - x^4 + 2x^2 - 5

The slope of the line below is-2. Which of the following is the point-slope
form of the line?
10-
10
10
(4-8)
10-
A. y + 8 = -2(x-4)
B. y - 8 = -2(x + 4)
c. y - 4 = -2(x+8)
a
D. y+ 4 = -2(x-8)

Answers

Answer:

A

Step-by-step explanation:

y-y1 = m(x-x1)

PLEASE SHOW WORK AND EXPLAIN IM AM VERY CONFUSED ASAP WILL GIVE BRAINLIEST 10 MINUTES TILL ITS DUE

Answers

Answer:

b

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 4x + 3 (subtract 3 from both sides )

y - 3 = 4x ( divide both sides by 4 )

[tex]\frac{y-3}{4}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-3}{4}[/tex] → b

what is the positive solution to this equation?
4x²+12x=135

Answers

4x^2 + 12x - 135 =0
Using calculator mode 3 3 or formula
X= 9/2 or x = -15/2

Answer:

x = 4.5

Step-by-step explanation:

Solve for x by using the quadratic formula

x = -12 + or - [tex]\sqrt{144+2160}[/tex] / 8

so (-12 + 48) / 8 or (-12 - 48) / 8

so 36/8 or -60/8, they just want the positive solution so x = 4.5

PLEASE HELP ME THANK YOU IF U DO

Answers

Answer: Acceleration

Step-by-step explanation:

The exponential function h, whose graph is given below, can be written as h(x) = a•b^x


Complete the equation for h(x).


Answers

Answer:

1,6

Step-by-step explanation:

1,6 thats how

How many times will a circle's diameter fit around that circle?​

Answers

3 times

Step-by-step explanation:

Ahmad went on a bicycle tour. In the first two hours , he averaged 12 km/h; but in the next three hours he averaged 8 km/h;. A)Calculate the total distance covered b) , calculate his average speed for the whole journey

Answers

Answer: See explanation

Step-by-step explanation:

We are informed that Ahmad averaged 12 km/h in the first 2 hours. Total distance for the first 2 hours = 12km × 2 = 24km.

In the next three hours he averaged 8 km/h. The total distance for the next 3 hours = 8km × 3 = 24 km

A) Calculate the total distance covered.

This will be the distance covered for the 5 hours. This will be:

= 24km + 24km

B. Calculate his average speed for the whole journey.

This will be:

= Total distance covered / Total time taken

= 48km / 5

= 9.6 km/hour

Lin opened a lemonade stand during the summer. She
noticed that she sold more lemonade on warmer days.
For each day she sold lemonade, she plotted the point
(t,c), where t represents high temperature and c
represents cups of lemonade sold.
b. A computer program found that the line c= 2t - 89
is a good fit for the data. Use this equation to predict
how many cups of lemonade Lin might sell on a day
when the high temperature is 74 degrees.
Use the sketch pad to show or explain your thinking.

Answers

Answer:

3

Step-by-step explanation:

Zach wants to buy a skateboard that costs $85. He currently has $15 saved. Zach plans to save d, dollars to have enough to buy the skateboard. Which equation represents the amount of money Zach still needs to buy the skateboard? *

Answers

Answer:

85 = 15 + d

d = 70

Step-by-step explanation:

Cost of a skateboard = $85

Zach savings = $15

Amount needed more to save = $d

Which equation represents the amount of money Zach still needs to buy the skateboard?

Total cost = available savings + more savings

85 = 15 + d

85 - 15 = d

70 = d

d = 70

1
Which is an equation of the line with slope 2 that contains the point (6,4)?
a.y= 22 - 8
1
y =
+1
b.
х
1
2
2 +4
C С.
1
y =
2
Question 2
Which is the equation of a line that passes through the point (5, 6) and has a slope of O?
a.y = 5
b.y=6
X cx=5
d. x = 6
Okoo

Answers

Answer:

Step-by-step explanation:

1. y - 4 = 2(x - 6)

y - 4 = 2x - 12

y = 2x - 8

2. y - 6 = 0(x - 5)

   y - 6 = 0

   y = 6

answer is b

HURRY I NEED HELPPPPP !!!!
Write each expression as a single power of 10 .

A. 10^(−3) ⋅ 10^(−2)

B. 10^4 ⋅ 10^(−1)

C. 10^5/10^7

D. (10^(−4))^5

E. 10^(−3) ⋅ 10^2

F. 10^y / 10^5

Answers

Answer:

A. 10^(−3) ⋅ 10^(−2) = 10^-5

B. 10^4 ⋅ 10^(−1) = 10^3

C. 10^5/10^7  = 10^-2

D. (10^(−4))^5 = 10^-20

E. 10^(−3) ⋅ 10^2 = 10^-1

F. 10^y / 10^5 = 10^(y-5)

somebody help me fast pleaseee 5 rate

Answers

Answer:

(7m+4m+8m)×219m×2=38m

Henry's height is 3 inches more than one-half of Charlie's height. If Henry is 24 inches tall, how tall is Charlie?

Answers

Answer:

Charlie is 20.5 inches tall

Step-by-step explanation:

Henry: 24 inches

            3 and 1/2 inches taller than Charlie

Charlie: 24 - 3.5 inches

            20.5 inches

Answer:

9 inches

Step-by-step explanation:

henry = 3 inches more than 1/2 of charlie

24=henry

24/2= 12-3=9 inches hope this helps

Given: m∠B = 46°; m∠C = 45°; m∠R = 46°;
m∠T = 89°

Prove: △ABC ~ △TRS

Triangles A B C and T R S are shown. Angles A B C and T R S are 46 degrees. Angle B C A is 45 degrees. Angle R T S is 89 degrees.

Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof?

△ABC is an acute triangle.
△TRS is larger than △ABC.
The sum of the measures of the interior angles of a triangle is 180°.
The sum of the side lengths of two sides of a triangle is greater than the third side length

Answers

Answer:

85

Step-by-step explanation: multiply

Answer:

B: Triangle R S P is similar to triangle Z X Y

C: Triangle S R P is similar to triangle X Z Y

E: Triangle R P S is similar to triangle Z Y X

Step-by-step explanation:

find the nth term - 8,14,20,26

Answers

The ninth term is 20

What is the best measure of center for this data set?
{101, 2, 108, 104, 102, 107, 109, 102}

A.mean because there is an outlier

B.median because there is an outlier

C.mean or median because there is no outlier

D.mode because there is an outlier

Answers

Answer:

it is B the median hope this helps :)

Step-by-step explanation:

Answer:

A. Mean

Step-by-step explanation:

When there is an outlier, the mean is the best way to figure out the average. Median doesn't work because it determines the exact middle, and the outlier (that 2) would affect it greatly, and the mode doesnt work, because it is the value that apears most in the data set, but just because it appears most doesnt mean its the average. In this case the mode is 102, but that is not the average. I hope this helps :)

In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.

Answers

Complete Question

In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.

What percentage of this country's men are eligible for the military based on height?

Answer:

95.45 %

Step-by-step explanation:

We solve using z score formula

z-score iis z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 69

σ is the population standard deviation = 2.2

For x= 64.6 inches

z = 64.6 - 69/2.2

z = -2

Probability value from Z-Table:

P(x = 64.6) = 0.02275

For x= 73.4 inches

z = 73.4 - 69/2.2

z = 2

Probability value from Z-Table:

P(x<73.4) = 0.97725

The probability of this country's men are eligible for the military based on height is calculated as:

p(x = 73.4) - p( x = 64.6)

0.97725 - 0.02275

= 0.9545

Converting to Percentage is

= 0.9545 × 100

= 95.45 %

Other Questions
In this unit, we have been discussing the high art-low art continuum. I begin addressing this in the Fluxus lecture (see in particular the slide with the table and the following slide) and continue to bring in the concept during subsequent units on Neo-Dada and Pop, but it applies to this entire section on Art of the Everyday, the mid-1950s-60s including Nouveau Realisme. Discuss each of the following works in terms of the concept of high art. Remember that high artists in the 1960s often deliberately made choices that were intended to collapse either the high art and low art divide, or the art and non-art divide. Each of these works is a work of high art. What about each of them makes them high art? Each of these works also has aspects that would not traditionally be considered high art or art at all. What are these low art or non-art elements? What choices have the artists made that have the potential to diminish or detract from the high art status or art status of the work? NOUVEAU REALISME: Arman, Le Plein (Filled Up), 1960. Installation at Iris Clert Gallery, Paris. FLUXUS: Alison Knowles, #5 Street Piece (1962). Event score for performance. POP (LA): Edward Ruscha, Standard Station, Amarillo, Texas, 1963. Oil on canvas. Find the area of the rectangle 2 1/4 1 1/2 Homemade yogurt is more nutritious than store-bought yogurt.TrueFalse I think its 14? Is that right or no? A company that makes modular bevel gear drives with a tight swing ratio for optimizing fork-lift vehicles was told that the interest rate on a loan would be an effective 3.5% per quarter, compounded monthly. The owner, confused by the terminology, asked you to help. What is the APY Our Constitution has survived for over 230 years. Iceland is making a new Constitution. Do we need a new Constitution here or do we just need to tweak the current one? Explain. (100 words) I got 10 but can someone make sure because I want to get a 100 Can someone help me calculate this Multimedia math:A monochrome sequence (black and white) uses a frame size of 176 x 144 pixels and has 8 bits/pixels. Registered with Frame Rate 10 frames/sec. Video is transmitted through a 64 Kbit/sec bandwidth line.(a) Calculate Compression Ratio (Crude Bit Speed / Compressed Bit Speed) which will be needed.(b) What will happen if the Ratio compression is higher than it in (a)?(c) What will happen if the Ratio compression is lower than it in (a)? Anong batas ang nagbibigay sa mga Pilipino ng Kalayaang magsarili at pangakong pagkakalooban ng kasarinlan sa Pilipinas? * 1 point A. Batas Militar B. Batas Hare-Hawes-Cutting C. Philippine Autonomy Act D. Batas Tydingd-McDuffie pls help meThe diameter of a circle is 14 ft. Find its area in terms of .PLS FOLLOW THE RULESTROLL FOR POINTS= REPORTFIRST AND CORRECT ANSWER= BRAINLIEST( NO LINKS ) at all Water has a formula of H2O. Based on the formula which is NOT a correct statement?A. It is an elementB. It is a compoundC. It contains oxygenD. It contains hydrogen help plz its do today In the new psychology of leadership, what do the authors say is the most important characteristic of an effective leader? please help me with my math 3. Why is Sheriff Tate so adamant that Bob Ewell fell on his knife? Which of the following words is the closest in meaning to the word regular? A periodicB limited C seasonalD ordered Drag fruit to represent each total weight shown. the difference between bright-field microscope and fluorescent microscope Give the IUPAC name for the following alkanes and cycloalkanes 11. Bethany is paid 4% commission oncarpet sales. She sold $850 worth ofcarpet to a family today. What washer commission?