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wariber [46]
2 years ago
5

What is the hcm of 24 and 78​

Mathematics
2 answers:
Lubov Fominskaja [6]2 years ago
6 0

Step-by-step explanation:As you can see when you list out the factors of each number, 6 is the greatest number that 24 and 78 divides into.

sattari [20]2 years ago
5 0
Answer:

The GCF of 24 and 78 is 6.

goodluck :)

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$100

Step-by-step explanation:

It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100

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1 year ago
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25% of Mr. Foster's class chose an amber background for their school picture. If 6 students chose an amber background, how many
Lelu [443]

Answer:

<h2>24 students</h2>

Step-by-step explanation:

25% of a hundred is one-fourth and because there are six students in a fourth of the whole we are multiplying four and six. 6x 4 is 24.

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2 years ago
Please Explain/Show Your Work, for each part of the question! Thank You!
mina [271]

Answer:

1. The graph represents a proportional relationship

2. 70,000 miles

Step-by-step explanation:

1. The graph represents a proportional relationship since the graph line is straight and begins at the origin.

2. Plot 5.5 hours on the graph and it'll give you 70,000 miles

3 0
2 years ago
(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7
zysi [14]

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

       -4 ±√[-40]         -4 ± 2i√10

x  = ------------------ = ------------------

                4                       4

                                       -2 ± i√10

Thus, the roots are x = ------------------

                                               2

4 0
2 years ago
Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
2 years ago
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