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Black_prince [1.1K]
3 years ago
13

If 24= 2f+3f+f, find f​

Mathematics
2 answers:
kupik [55]3 years ago
4 0

\huge\textsf{Hey there!}

\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}

\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark

~\large\textsf{Good luck on your assignment and your day!}

~\frak{Amphitrite1040:)}

VashaNatasha [74]3 years ago
3 0

Answer:

6f = 24

f = 4

Step-by-step explanation:

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The data in the table are linear. Use the table to find the slope.
Gemiola [76]

Answer:

m = -\frac{3}{2}

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

(x_1,y_1) =(2,1)

(x_2,y_2) =(8,-8)\\

The slope (m) is then calculated using:

m = \frac{y_1 - y_2}{x_1 - x_2}

Substitute in, the x and y values

m = \frac{1 - (-8)}{2- 8}

m = \frac{1 +8}{-6}

m = \frac{9}{-6}

m = -\frac{9}{6}

Divide numerator and denominator by 3

m = -\frac{9/3}{6/3}

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<em>Hence, the slope is -3/2</em>

8 0
3 years ago
Oscar bought some markers, notebooks, and packs of sticky notes for his office. He bought the same number of markers as notebook
Veseljchak [2.6K]

Using a system of equations, it is found that Oscar bought 6 markers, 6 notebooks and 15 packs of sticky notes.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of markers.
  • Variable y: Number of notebooks.
  • Variable z: Number of packs of notes.

He bought the same number of markers as notebooks, hence:

x = y.

He bought three more packs of sticky notes than markers and notebooks combined, hence:

z = 3 + x + y

z = 3 + 2x.

He paid $1.05 for each marker, $2.25 for each notebook, and the packs of sticky notes were $1.95. He spent $49.05 in total, hence:

1.05x + 2.25y + 1.95z = 49.05.

Then:

1.05x + 2.25x + 1.95(3 + 2x) = 49.05.

7.2x = 43.2

x = 43.2/7.2

x = 6.

The amounts are as follows:

  • y = 6.
  • z = 3 + 2(6) = 15.

He bought 6 markers, 6 notebooks and 15 packs of sticky notes.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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