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irina [24]
2 years ago
10

A cement mixture costs $33 a ton. It is composed of Grade A cement at $36 a ton and Grade B cement at

Mathematics
1 answer:
Inessa05 [86]2 years ago
4 0
If we used “a” tons of grade A and “b” tons of grade B we would get a + b tons of mixture.
Converting to costs we get 36a + 24b = 33(a + b)
36a + 24b = 33a + 33b
36a - 33a = 33b - 24b
3a = 9b
a = 3b
This means the mixture contains 3 times as much of grade A than grade B
The ratio of grade A : grade B = 3 : 1

For example if we mixed 3 tons of A with 1 ton of B we would get 4 tons of mixture
The cost would be 3 x 36 + 1 x 24 = 108 + 24 = $132 for 4 tons = $33 per ton
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Last month, you were able to purchase 8 computers. By the middle of the current month, you were able to purchase 8 more computer
Arada [10]

Answer:

125 %

Step-by-step explanation:

Computers purchased in the last month = 8

By the middle of the current month, 8 more computers than the last month were purchased. This means, total number of computers purchased by middle of current month = 8 + 8 = 16

Number of computers purchased by end of current month = 2

So,

Total computers purchased by current month = 16 + 2 = 18

We have to find the percentage increase in the number of computers from last month's purchases to the end of this month's purchases. The formula for percentage change is:

\text{Percentage Change}=\frac{\text{New Value - Original Value}}{\text{Original Value}} \times 100\%

Here, Original Value is the number of computers from last month and New Value is the number of computers from current month. Using the values in the formula, we get:

\text{Percentage Change}=\frac{18-8}{8} \times 100\% = 125\%

Thus, there was a 125% increase from last month's purchases to the end of this month's purchases

7 0
3 years ago
Which relatives between x and y in the equation shows a proportional relationship?
tangare [24]

its B Step-by-step explanation:


3 0
3 years ago
Which is an irrational number
Rufina [12.5K]

Answer:

An irrational number is any number than cannot be written in the form p/q, where q is 0 Ex. pi, non-perfect squares

Step-by-step explanation:

In this case D. isn't rational but is irrational

7 0
3 years ago
The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table bel
Vilka [71]

Answer:

Constant of proportionality: k=3

Equation: c=3d

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

y=kx

Where "k" is the Constant of proportionality.

In this case, let be "c"  the the amount of caffeine consumed  (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.

So, the equation that represents this relationship will have this form:

c=kd

Then, the first step is to find the Constant of proportionality "k".

Knowing that:

c=24;d=8

We can substitute values into the equation:

24=k(8)

Now, solving for "k", we get:

\frac{24}{8}=k\\\\k=3

Therefore, we can write the following equation that represents that proportional relationship:

c=3d

6 0
3 years ago
Pls help answer this soon!!!!!
vladimir1956 [14]
13a) y = 0.45x

13b) 52 * 0.45 = 23.4

13c) I will let u figure this one out
7 0
3 years ago
Read 2 more answers
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