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3 years ago

Can someone help me with this math problem

Mathematics

2 answers:

swat323 years ago

4 0

Answer:

$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound

Step-by-step explanation:

Shkiper50 [21]3 years ago

3 0

Answer:

Brand A is $14

Brand B is $12.5

Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.

Step-by-step explanation:

For brand A you need to first divide 70 by 5 which equals to 14

Then you divide 105 by 12 which equals 12.5

The Last problem i gave to you in the answer box.

Hopefully you understood everything.

Have a good day

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Chris got 28 out of 35 correct in his test.<br> What fraction of the marks did he get correct?

beks73 [17]

Answer:

4/5

Step-by-step explanation:

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3 years ago

Read 2 more answers

Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- an

slega [8]

Answer:

1) There were 33 $4,000 investors and 27 $8,000 investors.

2) The solution in x = 4, y = 9.

3) There were 24 nickels and 56 dimes.

Step-by-step explanation:

1) A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $4,000 or $8,000. If the partnership raised $348,000, then how many investors contributed $4,000 and how many contributed $8,000?

I am going to say that:

x is the number of investors that contributed 4,000.

y is the number of investors that contributed 8,000.

Building the system:

There are 60 investors. So:

$x + y = 60$

In all, the partnership raised $348,000. So:

$4000x + 8000y = 348000$

I am going to simplify by 4000. So:

$x + 2y = 87$

Solving the system:

The elimination method is a method in which we can transform the system such that one variable can be canceled by addition. So:

$1)x + y = 60$

$2)x + 2y = 87$

I am going to multiply 1) by -1. So we have

$1)-x - y = -60$

$2)x + 2y = 87$

By addition, the x are going to cancel each other

$-x + x - y + 2y = -60 + 87$

$y = 27$

For x:

$x + y = 60$

$x = 60-y = 60-27 = 33$

There were 33 $4,000 investors and 27 $8,000 investors.

2) Solve the system by row-reducing the corresponding augmented matrix.

$2x + y = 17$

$x + y = 13$

This system has the following augmented matrix:

$\left[\begin{array}{ccc}2&1&17\\1&1&13\end{array}\right]$

To help the row reducing, i am going to swap the first with the second line:

$L1 L2$

So we have:

$\left[\begin{array}{ccc}1&1&13\\2&1&17\end{array}\right]$

Now, reducing the first column.

$L2 = L2 - 2L1$

So we have:

$\left[\begin{array}{ccc}1&1&13\\0&-1&-9\end{array}\right]$

Now we do:

$L2 = -L2$

And the matrix is:

$\left[\begin{array}{ccc}1&1&13\\0&1&9\end{array}\right]$

Now to reduce the second column, we do:

$L1 = L1 - L2$

$\left[\begin{array}{ccc}1&0&4\\0&1&9\end{array}\right]$ .

So the solution is:

x = 4, y = 9.

3) A jar contains 80 nickels and dimes worth $6.80. How many of each kind of coin are in the jar?

I am going to say that x is the number of nickels and y is the number of dimes.

Each nickel is worth 5 cents and each dime is worth 10 cents.

Building the system:

There are 80 coins in all:

$x + y = 80$

They are worth $6.80. So:

$0.05x + 0.10y = 6.80$

Solving the system:

$1)x + y = 80$

$2)0.05x + 0.10y = 6.80$

I am going to divide 1) by -10, so we can cancel y. So:

$1)-0.10x - 0.10y = -8$

$2)0.05x + 0.10y = 6.80$

Adding:

$-0.10x + 0.05x - 0.10y + 0.10y = -8 + 6.80$

$-0.05x = -1.2$ *(-100)

$5x = 120$

$x = \frac{120}{5}$

$x = 24$

Also

$x + y = 80$

$y = 80-x = 80-24 = 56$

There were 24 nickels and 56 dimes.

8 0

3 years ago

Write a real world problem that you would represent with the equation 4x+5=37.

umka2103 [35]

If there were 37 apples. One of your friends took 5 apples. You divided the leftover apples and gave it to your four friends. How many apples did each of the four friends get?

x=8
37-5=32
32/4=8.

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3 years ago

9*10^7 is how many times as large as 3*10^3 Please help

sesenic [268]

Answer:

30000 times larger.

Step-by-step explanation:

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Law of exponents cancel some of the tens.

10^4 * 9/3

Cancel out the three.

10^4 *3

Compute

30000 times larger.

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3 years ago

2/3x + 1/6 = -3/4x + 1

kupik [55]

$\frac{2}{3} x + \frac{1}{6} = -\frac{3}{4} x + 1$

First, simplify $\frac{2}{3} x$ to $\frac{2x}{3}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3}{4} x + 1$
Second, simplify $\frac{3}{4} x$ to $\frac{3x}{4}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3x}{4} + 1$
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like: $8x + 2 = -9x + 12$
Fourth, subtract 2 from both sides. / Your problem should look like: $8x = -9x + 12 - 2$
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like: $8x = -9x + 10$
Sixth, add 9x to both sides. / Your problem should look like: $8x + 9x = 10$
Seventh, add 8x + 9x to get 17x. / Your problem should look like: $17x = 10$
Eighth, divide both sides by 17. / Your problem should look like: $x = \frac{10}{17}$

Answer as fraction: x = $\frac{10}{17}$
Answer as decimal: x = 0.5882

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3 years ago