If i multiple 5460 and 12 and then divide 65520 and 54 and I get 1221 what at would be my best estimate

Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

ivolga24 [154]

Answer:

a. The system of equations that models the situation is....

$0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40$

b. The solution to the system: x = 2 and y = 4

The amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is $x$ pounds and the amount of 50/50 mixture is $y$ pounds.

So, the amount of peanuts in 80/20 mixture $= 0.80x$ pound and the amount of almonds in 80/20 mixture $=0.20x$ pound.

And the amount of peanuts in 50/50 mixture $=0.50y$ pound and the amount of almonds in 50/50 mixture $=0.50y$ pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture $=(6\times 0.60)=3.60$ pounds

and the amount of almonds in that mixture $=(6 \times 0.40)= 2.40$ pounds.

So, the system of equations will be.........

$0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)$

Subtracting equation (2) from equation (1), we will get.....

$(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2$

Now, plugging this $x=2$ into equation (1), we will get......

$0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4$

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0

3 years ago

Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75

Lady_Fox [76]

Answer:

$75 + 45$ $= 15(3 + 5)$

Step-by-step explanation:

Given

$75 + 45$ -- Corrected

Required

Use the GCF to write it as a distributive property

First, we find the GCF of 75 and 45

$45 = 3 * 3 * 5$

$75 = 3 * 5 * 5$

The common factor is:

$GCF = 3 * 5$

$GCF = 15$

So, $75 + 45$ becomes

$75 + 45$ $= 15 * 3 + 15 * 5$

Factorize

$75 + 45$ $= 15(3 + 5)$

Hence, the sum has been rewritten as $15(3 + 5)$

5 0

2 years ago

How many solutions does this linear system have?

Andrews [41]

Answer:

x = 0 , y = 4

Step-by-step explanation:

Solve the following system:

{y = 4 - 3 x | (equation 1)

x + 2 y = 8 | (equation 2)

Express the system in standard form:

{3 x + y = 4 | (equation 1)

x + 2 y = 8 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + y = 4 | (equation 1)

0 x+(5 y)/3 = 20/3 | (equation 2)

Multiply equation 2 by 3/5:

{3 x + y = 4 | (equation 1)

0 x+y = 4 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 0 | (equation 1)

0 x+y = 4 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 0 | (equation 1)

0 x+y = 4 | (equation 2)

Collect results:

Answer: {x = 0 , y = 4

8 0

2 years ago

10.1 and 10.15 witch one is greater

RUDIKE [14]

Answer:

10.15

Step-by-step explanation:

Subtract:

10.15 - 10.1 = 0.05

10.15 is greater than 10.1 by 0.05

~

6 0

3 years ago

Read 2 more answers

In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the pro

Mekhanik [1.2K]

Answer:

(B) No. A binomial probability model applies to only two outcomes per trial.

Step-by-step explanation:

The binomial probability is the probability of having $x$ sucesses on $n$ repeated trials of an experiment that can only have two outcomes. This is why it is called the binomial probability.

Since in our problem there are three possible outcomes, the binomial probability cannot be used.

The correct answer is (B)

(B) No. A binomial probability model applies to only two outcomes per trial.

5 0

2 years ago