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
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
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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
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
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
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:
How many times will a circle's diameter fit around that circle?
3 times
Step-by-step explanation:
find the nth term - 8,14,20,26
Expand (- 3a - 5x) (- 2b - 4y).
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
what is the positive solution to this equation?
4x²+12x=135
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
Expand to write an equivalent expression: −14(8x+12y)
Factor to write an equivalent expression: 36a−6
Pls solve these quick
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
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? *
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
NEED HELP ASAP! TY IN ADVANCE <3 DO THE TABLE OF VALUES AS WELL!
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 }
PLEASE HELP ME THANK YOU IF U DO
Answer: Acceleration
Step-by-step explanation:
Find The Volume (nearest integer):*
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
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
Answer:
.
Step-by-step explanation:
.
Answer:
i belive its x^2 + y^2 = 8
Step-by-step explanation:
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
Answer:
Took L for my gang keep working hard
Step-by-step explanation:
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
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 :)
One angle of an isosceles triangle measures 48°. Which other angles could be in that isosceles triangle? Choose all that apply.
Answer:
70° and 62° could be the other angles in that isosceles triangle
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
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
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
Answer:
238
Step-by-step explanation:
85%of 280 is 238 ok.......
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.
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 %
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.
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
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)
Answer:
A
Step-by-step explanation:
y-y1 = m(x-x1)
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.
Answer:
3
Step-by-step explanation:
PLEASE SHOW WORK AND EXPLAIN IM AM VERY CONFUSED ASAP WILL GIVE BRAINLIEST 10 MINUTES TILL ITS DUE
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
can someone help.. i’ll chose brainliest if best
Answer:week 3 and week 1
Step-by-step explanation:
Answer:
chicken
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).
Answer:
1,6
Step-by-step explanation:
1,6 thats how
(x^7 + 3x^6 - x^2 + 4) + (3x^7 - x^4 + 3x^2 - 9) add
Answer:
4x^7 + 3x^6 - x^4 + 2x^2 - 5
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
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)
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
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 :))
somebody help me fast pleaseee 5 rate
Answer:
(7m+4m+8m)×219m×2=38m
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
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
Henry's height is 3 inches more than one-half of Charlie's height. If Henry is 24 inches tall, how tall is Charlie?
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