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3 years ago

A 5-lb box of soap powder costs $ 4.65. A 10-lb box of the same powder costs $ 8.90. Which is the better price?

Mathematics

1 answer:

siniylev [52]3 years ago

7 0

4.65 /5 = 0.93 per pound

8.90 /10 = 0.89 per pound

the 10 pound box is the better price because it is cheaper per pound

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Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1) ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em>Where</em>

$C(x_1,y_1) = (2,7)$ and $M(x,y) = (-1,-1)$

Put these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

By comparison;

$-1 = \frac{2+x_2}{2}$ and $-1 = \frac{7+y_2}{2}$

$-1 = \frac{2+x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$-2 -2 = x_2$

$x_2 = -4$

$-1 = \frac{7+y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$-2 - 7 = y_2$

$y_2 = -9$

<em>Hence, the coordinates of D is (-4,-9)</em>

4 0

3 years ago

Explain why this matrix equation has no solution: A 11 17 −8 13 = 0 0 0 0.

qwelly [4]

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Given to us

A + [11 17 -8 13] = [0 0 0 0]

<h3>What is the value of matrix A?</h3>

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11 17 -8 13] = [0 0 0 0]

A = [0 0 0 0] - [11 17 -8 13]

A = [-11 -17 +8 -13]

Thus, the matrix is equal to [-11 -17 +8 -13].

<h3>why this matrix equation has no solution?</h3>

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11 17 -8 13] is been added to it.

Thus, the sum of the two matrices has no solution.

Learn more about Matrices:

brainly.com/question/11367104

5 0

2 years ago

There are 24 students in a class. if 16 are boys, what fraction of the students are boys?

pshichka [43]

Answer:

2/3 is the fraction of students who are boys.

Step-by-step explanation:

First of all, a fraction consists of two parts: The denominator and the numerator. The denominator is the whole, while the number is a part of the whole (and sometimes above).

1. Since in your question, there are 24 students in total in the class, the denominator will be 24.

2. You said that 16 of them are boys, so 16 is the numerator.

3. In a fraction, it will be 16/24.

4. 16/24 can be simplified into 2/3 since both 16 and 24 can be divided by 8.

So our final answer is 2/3.

3 0

1 year ago

The average capacity of five containers is 13 liters. A container with a capacity of 7 liters is added to the set of 5. What is

Zepler [3.9K]

Answer:

12 liters

Step-by-step explanation:

Let the capacity sum of the 5 containers be X

13 = X / 5

X = 65 liters

Average capacity of the six = ( 65 + 7 )/ 6 liters

= 72/6 liters

= 12 liters

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2 years ago

What is the average of 22.10, 13.45, 25.10, 17.20, 19.10?

Nookie1986 [14]

I got 19.39 by adding all og those numbers together and dividing by 5

5 0

3 years ago