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likoan [24]
3 years ago
5

A metallurgist has one alloy containing 24% aluminum and another containing 60% aluminum. How many pounds of each alloy must he

use to make 44 pounds of a third alloy containing 47% aluminum?
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0

Answer:

15 8/9 pounds of 24%

28 1/9pounds of 60%

Step-by-step explanation:

x = pounds of 24%

44 - x = pounds of 60%

24x + 60(44  - x) = 47(44)

24x + 2640 - 60x = 2068

-36x + 2640 = 2068

-36x = -572

x = 15 8/9

44 - x = 28 1/9

Rounded

15 8/9 pounds of 24%

28 1/9pounds of 60%

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galina1969 [7]
Well...it says the sum of the angles measure 360...so lets set them equal to 360

40 + x - 10 + 1/3x + x - 20 = 360...combine like terms
2 1/3x + 10 = 360
7/3x = 360 - 10
7/3x = 350
x = 350/(7/3)
x = 350 * 3/7
x = 1050/7
x = 150 <===== 






3 0
3 years ago
Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an
mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

80d+61=701

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

80d+61-61=701-61\\\\80d = 640

Now Dividing both side by 80 we get;

\frac{80d}{80}=\frac{640}{80}\\\\d=8

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.

7 0
3 years ago
John has less than 15 video games what is the inequality?
lidiya [134]

Answer: well, we don't have another number so i'll use variables

VG < 15

An easy way to remember what is the lesser value is to think of an alligator; the alligator wants to eat the bigger prey so in your case the bigger prey would be 15.

6 0
3 years ago
Please help me it’s due in 1 hour
kherson [118]

Answer:

There were 39 children at the party

Step-by-step explanation:

Here, we want to know the number of children at the party

To do this, we have to add the y-values ( frequencies of the age grades)

We have this as;

8 + 8 + 7 +10 + 6 = 39

7 0
3 years ago
There are 6 cards with a picture of a rose and 4 cards with a picture of a daisy. Alfa keeps all the cards face down on a table
Igoryamba
It's 5 over 9 because you start off with 10 cards (6 roses 4 daisies) then you pick a rose. Then it become's 5 over 9 since there are only 5 roses left and 9 total cards left.

8 0
3 years ago
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