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stepladder [879]
3 years ago
13

A bag of concrete equals 1000 cu. Inches. Your customer already has 2 bags at home. How many more bags does he need to fill an a

rea of 5’ x 10” x 10”? ________
Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0
From the information given;
1 bag of concrete = 1000 in^3
2 bags at home = 1000*2 = 2000 in^3

The available space has a volume of;

Volume = (5*12)*10*10 (Note: 1 ft = 12 inches)
Volume = 60*10*10 = 6000 in^3

The remaining volume = Available space - occupied space = 6000 - 2000 = 4000 in^2

1 bag = 1000 in^3
x bags = 4000 in^2

Then,
x = 1*4000/1000 = 4 bags.
This means 4 more bags of concrete will be required to fully fill the  space.
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Determine the amounts of 20% and 50% salt solutions that should be mixed to obtain 300 gallons of 41% salt solution.
tresset_1 [31]
Assume that solution with 20% and 50% salt is x and y gallons respectively.

Therefore,

x+y = 300 => y=300-x

Additionally
20x+50y = 300*41 = 12300

Substituting for y

20x+50(300-x) = 12300 => 20x+15000-50x = 123000 => -30x = -2700

x= 90 gallons
y= 300-x = 300 - 90 =210 gallons

3 0
3 years ago
Solve for x and y.
goldenfox [79]

Answer:

x= 15

y=  5

Step-by-step explanation:

it is a reflective opposite side exterior angle or line you are seeing.

The angle on the other side is a vertical angle meaning it is the same. Which leads to show that the measurements are the same as well.

6 0
3 years ago
Just number 23 super confused
vodka [1.7K]

Answer:

x = -7

Step-by-step explanation:

This is an exponential equation.

\frac{1}{2}^x=128

We need to take log(or ln) of both sides and use logarithm property to solve this.

So, let's take ln of both sides, so we have:

ln(\frac{1}{2}^x)=ln(128)

Now, we will use this property shown below to further simplify:

ln(a^b)=bln(a)

So, we now have:

ln(\frac{1}{2}^x)=ln(128)\\xln(\frac{1}{2})=ln(128)\\x=\frac{ln(128)}{ln(\frac{1}{2})}\\x=-7

The value of x is -7

6 0
3 years ago
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by
Alja [10]

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

s = 10|x - 4| + 50

Required

Solve for x when s = 80

Substitute 80 for x

80 = 10|x - 4| + 50

Subtract 50 from both sides

80 - 50= 10|x - 4| + 50 - 50

30= 10|x - 4|

Divide through by 10

\frac{30}{10}= \frac{10|x - 4| }{10}

3= |x - 4|

Reorder

|x - 4| = 3

This can be split into

x - 4 = 3 or x - 4 = -3

Solve for x

x = 4 + 3 or x = 4 - 3

x = 7 or x = 1

Hence:

<em>The numbers of measure of music played are 1 and 7</em>

4 0
3 years ago
Simply 3x +9y + 2x<br> Please help me
dem82 [27]

Answer:

5x+9y

Step-by-step explanation:

4 0
2 years ago
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