Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].
Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :
[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]
Hence, this is the required solution.
Tyson and his friends go to ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Which equation can be used to find h, the number of
hours he can skate, if he pays a total of $37.50?
37.50 -4.80 + 18.30h
37.50 - 18.30 + 4.80 +h
37.50 - (18.30 + 4.80)
37.50 - 18.30 + 4.80h
Answer: 37.50-18.30+4.80h
ANALYZEPLANSOLVEJUSTIFYEVALUATE Pay close attention as you work through this process. You'll be asked to write a journal entry at the end. Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy? Enter a unit that best describes the number. CHECK Number Unit Description
Answer:
7
Step-by-step explanation:
If a case contains 24 bottles, and if I need to buy 150 bottles, I would need to buy 150 / 24 = 6.25
Because the store would not sell the quarter of a case, I would need to buy 7 cases of water.
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
Option: D is the correct answer.
D) 20.455 <= X <= 20.545
Step-by-step explanation:
We are given The ideal length of a particular metal rod is 20.5 cm.
It is given that:
The measured length may vary from the ideal length by at most 0.045 cm.
By atmost we mean either less than or equal to that amount but not more than that.
It means that:
|X-20.5|≤ 0.045
⇒ -0.045 ≤ X-20.5 ≤ 0.045
⇒ -0.045+20.5 ≤ X ≤ 20+0.045
⇒ 20.455 ≤ X ≤ 20.545.
Hope this helped! <3
When a geometric figure turns about a certain point it is called a_____
Answer:
rotation
Step-by-step explanation:
hope this helps
Answer:
Rotation (✿◠‿◠)
depth of water in a swimming pool decreases by 1/8 inch per day do to evaporation no water is added to the pool for a two week. What is the total change in depth of the water during this time period?
Answer:
7/4
Step-by-step explanation:
its 7/8 because if it goes down 1/8 each day count that for 2 weeks which is 14 days so it would be 14/8 or 7/4
HOPED THIS HELPED!!!!!!! :D
The total change in depth of the water during this time period is 7/4 in
What is subtraction?To subtract means to take away from a group or a number of things.
Given that, the depth of water in a swimming pool decreases by 1/8 inch per day do to evaporation, no water is added to the pool for a two week.
The reduce in the pool in 1 day is 1/8 inch.
So, for 2 weeks, it's 14 days, therefore, in 14 days it will reduce = 1/8x14 = 7/4 in
Hence, The total change in depth of the water during this time period is 7/4 in
For more references on subtraction, click;
https://brainly.com/question/2346316
#SPJ2
If ab = 5 and a² + b² = 25, then (a + b)² =
Answer:
100
Step-by-step explanation:
because 5+5=10
the 10^2=10*10=100
A women has 6 dogs, 4 cats, and 8 canaries. In how many ways can she select one of each species?
The shoes cost 35.00 and the tax is 6.5%. How many tax will you pay on the shoes?
Answer:
The tax is 2.28
Step-by-step explanation:
Take the cost of the shoes and multiply by the tax rate
35 * 6.5%
Change to decimal form
35 * .065
2.275
Round to the nearest cent
2.28
The tax is 2.28
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Answer:
what should we have to do here
I don't understand
cómo se resuelve?
a) 3X+Y=16
5X-Y=24
b) 5X+4Y=35
2X+2Y=16
c) X+Y =21
3X+7Y=107
Reflection of point (1.2) over X-Axis is
Answer:
1,-2
Step-by-step explanation:
reflection over x axis the values of y will change
The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.
Answer:
10
Step-by-step explanation:
Given line:
F G H I
FI = 18
Unknown:
FH = ?
Solution:
To find the line FH, we use the ratio given;
FG : GH: HI
3 : 2 : 4 ; Total = 3 + 2 + 4 = 9
Since FI is 18;
FH = [tex]\frac{3 + 2}{9}[/tex] x 18 = [tex]\frac{5}{9} x 18[/tex] = 10
FH = 10
Which function is a quadratic function?
A) p(x) = 2x (x^2 + 6) + 1
B) m(x) = -4 (x + 3) -2
C) t(x) = -8x^2 (x^2 - 6) + 1
D) h(x) = 3x (x - 2) - 4
Answer:
D
Step-by-step explanation:
3x (x-2) - 4
3x²-6x-4
I hope it's helpful
Please help me I am not good a math
Answer:
B. Graph B
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?
Shelly runs 2.5 miles in 18 minutes. what is her mile time in minutes.
Answer:
7.2315656
Step-by-step explanation:
Let's agree that 2.5 miles : 18 minutes is the ratio between the amount of distance and the amount of time spent running. If we spent 2x as many minutes running, Shelly would run 5 miles. In the same context, let's find the amount of distance covered in 18 minutes.
18 × (60/18) = 60
We multiply 60/18 because 60/18 = 60 × (1/18), and the (1/18) cancels with the 18 so we are left with the numerator, 60.
2.5 : 18
Now, we have to multiply 60/18 on both sides!
2.5 × (60/18) : 18 × (60/18) = 60
2.5 × (60/18) = 8 and 1/3 miles
HELPPP
Joylin’s work to solve a math problem is shown below.
Problem: Manny walked StartFraction 5 Over 16 EndFraction of the distance to the library in One-third of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library?
Step 1:
StartFraction 5 Over 16 EndFraction divided by one-third = h
Step 2:
StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h
Step 3:
StartFraction 48 Over 5 EndFraction = h
Answer:
9 and three-fifths = h
What was Joylin’s first error?
She switched the divisor and the dividend when creating an equation to model the problem in step 1.
She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.
She multiplied the two numerators and the two denominators to generate her product in step 3.
She reduced the improper fraction incorrectly when getting her final answer.
Answer:
The answer is B, She replaces both the divisor and the dividends with their reciprocals when changing division to multpication in step two.
Step-by-step explanation:
Hops this helps! Have a nice day!✌
Answer:
B
Step-by-step explanation:
I dunoo when I put that answer is said it was right.
$16.99 cap; 20% discount
Answer:
$13.59
Step-by-step explanation:
your answer needs to be atleast 20 characters long
Answer:
$13.592
Explanation:
$16.99 cap , discount 20%
new price = 100-20/100× 16.99 = $13.592
Sarah has $12.45 in quarters and nickels. She has 39 more nickels than quarters.
How many of each coin does she have?
Answer:
There are 14 nickes, 24 dimes and 48 quarters
Step-by-step explanation:
let x represent the number of nickels.
As she has 10 more dimes than nickels, the number of dimes is x + 10.
As she has twice as many quarters as dimes, the number of quarters is 2(x + 10)
the total value is $15.10, so I get an equation:
0.05x + 0.1*(x + 10) + 0.25*2(x + 10) = 15.10
0.05x + 0.1x + 1 + 0.5x + 5 = 15.10
0.65x = 9.1
x = 14
x + 10 = 24
2(x + 10) = 48
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription. How much money did Adriano’s online business earn this month
Answer: 1150
Step-by-step explanation: 200 + 40 - 10 x 5 = 1150
200 + 40 = 240
240 - 10 = 230
230 x 5 = 1150
You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?
Answer:
you would not be able to withdraw $60
Step-by-step explanation:
$50 is less than $60
Answer:
$-10 (you wouldn't be able to withdraw 60, only 50 or less.)
Step-by-step explanation:
You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.
And you wouldn't be able to withdraw 60, only 50 or less.
(～￣▽￣)～Hope this helps!
Kayla rented a limousine for prom. There was a one-time charge of $100, plus
an hourly rate of $45. Her total cost for the night was $347.50. How many
hours did Kayla rent the limo? please helppp
Answer:
5.5 hours
Step-by-step explanation:
347.50 - 100 = 247.50
247.50 ÷ 45 = 5.5
Answer:
5.5 hours
Step-by-step explanation:
if the one-time charge was 100 then subtract 100 from 347.50 and you would get 247.50 then divide that by 45 and you get 5.5.
Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:
Answer:
First one, Third one, Fifth one, and the last one too.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, make a ratio:
18 min/ 3mile = 6 min/mile
now multiply to finish the table:
1: 6
3: 18
5: 30
10: 60
25: 150
X+7
——-=9
3
Can you explain step by step on how to solve this problem?
Answer:
w=−7
Step-by-step explanation:
34+21=−11(w+2)
55=−11(w+2)
-55/11 =w+2
−5=w+2
−5−2=w
−7=w
0.82 divided by ___ = 0.0082.
Fill in the blank?
I think it is 100 is that right?
Answer:
100
Step-by-step explanation:
100 x 0.82 =0.0082
HELP PLEASE & EXPLAIN . *like i said on my other question if you answer my math questions that i post accurately i will give you brainliest each time *
Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they collected,x,and then multiplied the sum by 2, they would have the same amount of money as Marty's class.
a) $20.00
b) $14.00
c) $3.00
d) $17.00
Answer:
It is so C
Step-by-step explanation:
hopefully that really helps you have a great day
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0
3
6
9
12
у
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19
28
37
Slope m=
Y-intercept b =
Equation
Answer:
no
Step-by-step explanation:
Estimate: 1/4 x 21 ≈
Answer:
5
Step-by-step explanation:
Pls Answer And explain the question below
Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7
9514 1404 393
Answer:
M = 141°, N = 39°
Step-by-step explanation:
Supplementary angles have a total measure of 180°, so ...
M + N = 180
(6x +3) +(2x -7) = 180
8x = 184 . . . . . add 4, simplify
x = 23 . . . . . . . divide by 8
∠M = 6·23 +3 = 141°
∠N = 2·23 -7 = 39°