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mamaluj [8]
2 years ago
6

Solve the equation. -3x + 1 + 10x = x + 4

Mathematics
2 answers:
Masja [62]2 years ago
8 0

x = \frac{1}{2}

simplify the left side by collecting like terms

7x + 1 = x + 4 ( subtract x from both sides )

6x + 1 = 4 ( subtract 1 from both sides )

6x = 3 ( divide both sides by 6 )

x = \frac{3}{6} = \frac{1}{2}


svetoff [14.1K]2 years ago
7 0

Answer:

x=[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Solving the equation mean finding the value of x

Equation given is:

-3x+1+10x=x+4

Now what we need to do is take the values with x in it to the left side of the equation and the other numbers to the right side of the equation.

-3x+10x-x=4-1

Now simplify values with x and the numbers.

6x=3

x=[tex]\frac{1}{2}[/tex]

Therefore x=[tex]\frac{1}{2}[/tex]

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Select the correct answer. What is the mode of this data set? {41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25}
klemol [59]

The mode is the number in the set that appears the most.


In the given data set, the number 45 is listed twice while all the other numbers are only listed once.

The mode is 45.


4 0
3 years ago
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Is 4/6 = 9/12 not proportionate
andre [41]

\text{If}\ \dfrac{a}{b}=\dfrac{c}{d}\ \text{is proportional, then}\ ad=bc.\\\\\text{We have}\ \dfrac{4}{6}=\dfrac{9}{12}.\ \text{Cross multiply}\\\\(4)(12)=(6)(9)\\\\48=54\ FALSE\\\\Answer:\ NOT\ PROPORTIONAL

4 0
2 years ago
Paul paid $ 25.50 for 3 cups of hot chocolate and cups of tea. The cost of each cup of tea was 2/3 the cost of each cup of hoy c
Allushta [10]

Let the cost of one cup of hot chocolate  be = x

Let the cost of one cup of hot tea be = y

Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.

Equation becomes = 3x+4y=25.50   ...(1)

As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.

y=\frac{2x}{3}   .... (2)

Putting the value of y from (2) in (1)

3x+4(\frac{2x}{3})=25.50

=3x+\frac{8x}{3}=25.50

=\frac{9x+8x}{3}=25.50

=17x=76.5

x=4.5

y=\frac{2x}{3}

=\frac{2*4.5}{3}

y =3

Hence each cup of hot chocolate is $4.50

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7 0
2 years ago
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
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For proportionality constant problems, set up the equation as,

x=Ky,

Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn  </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.

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30=K(20)\\K=\frac{30}{20}= \frac{3}{2}, and

45=K(30)\\K=\frac{45}{30}= \frac{3}{2}.

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ANSWER: 1.5


4 0
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What is the GCMF of x² + 2x​
natita [175]

This is about understanding GCMF.

<em><u>GCMF = x</u></em>

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Thus,

GCMF = x

Read more at; brainly.in/question/24610878

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