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Tanzania [10]
3 years ago
12

What is (-4x-2)-(13x+1)=

Mathematics
2 answers:
Art [367]3 years ago
8 0

Answer:

Simplifying

(-4x + -2) + -1(13x + 1) = 0

Reorder the terms:

(-2 + -4x) + -1(13x + 1) = 0

Remove parenthesis around (-2 + -4x)

-2 + -4x + -1(13x + 1) = 0

Reorder the terms:

-2 + -4x + -1(1 + 13x) = 0

-2 + -4x + (1 * -1 + 13x * -1) = 0

-2 + -4x + (-1 + -13x) = 0

Reorder the terms:

-2 + -1 + -4x + -13x = 0

Combine like terms: -2 + -1 = -3

-3 + -4x + -13x = 0

Combine like terms: -4x + -13x = -17x

-3 + -17x = 0

Solving

-3 + -17x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -17x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -17x = 0 + 3

-17x = 0 + 3

Combine like terms: 0 + 3 = 3

-17x = 3

Divide each side by '-17'.

x = -0.1764705882

Simplifying

x = -0.1764705882

r-ruslan [8.4K]3 years ago
3 0

Answer:

x = -3/17

Step-by-step explanation:

<u>Step 1:  Distribute the minus sign</u>

(-4x - 2) - (13x + 1)

-4x - 2 - 13x - 1

<u>Step 2:  Combine like terms</u>

-4x - 2 - 13x - 1

-17x - 3

<u>Step 3:  Solve for x</u>

-17x - 3 = 0

-17x - 3 + 3 = 0 + 3

-17x / -17 = 3 / -17

x = -3/17

Answer:  x = -3/17

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Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen
n200080 [17]

A linear relation is a relationship between two variables that when the corresponding pair of values of the variables are plotted, a straight line is obtained

The equation for the relationship between hours Gwen worked and number of tickets is <u> t = </u><u>15·h</u>

<u />

The reason the above equation is correct is as follows:

The given parameters are;

The table of values;

Hours(h): 1, 2, 3, 4

Tickets (t): 15, 30, 45, 60

Required: To write an equation that gives the relation between the number of hours Gwen worked and the number of tickets sold

Solution:

From the given table, we have;

The common difference between successive <em>h-values </em>is 1

The <em>common difference</em> between successive t<em>-values </em>is 30 - 15 = 45 - 30 = 60 - 45 = 15 = Constant

Given that the common difference of the <em>h</em>, and <em>t-values</em> are constant, the relationship is a linear relationship of the form, t = m·h + c

Where;

m = The rate of change of <em>t</em> with <em>h</em>, as follows;

m = (30 - 15)/(2 - 1) = 15

∴ t - 15 = 15 × (h - 1)

t - 15 = 15·h - 15

t = 15·h - 15 + 15 = 15·h

t = 15·h

The equation for the relation between the number of hours Gwen worked and the number of tickets she sold is<u> t = </u><u>15·h</u>

<u />

Learn more about mathematical relationships here:

brainly.com/question/10185505

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7 0
2 years ago
Old Grandpa Joe left half his money to his granddaughter and half that amount to his grandson.
Usimov [2.4K]

Answer:

£12000

Step-by-step explanation:

Granddaughter -- 1/2 of x

Grandson -- 1/2(1/2 of x)

Brother -- 1/6 of x

Dogs' home -- £1000

Therefore,

\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x

x = 12000

Thenks and mark me brainliest :)

7 0
3 years ago
if you go out to eat with 3 friends and your meal was $72.50, there is 6.75% sales tax. how much should each person pay
pickupchik [31]

Answer:

$25.80

Step-by-step explanation:

First find the price of the meal with sales tax. Multiply 6.75% by $72.50.

72.50 * 0.0675 = 4.89

Add this value onto 72.50.

72.50 + 4.89 = 77.39

Divide this amount by 3.

77.39 / 3 = 25.7966...

Round this to the nearest hundredth because we're dealing with money.

$25.80 is how much each person should pay.

5 0
3 years ago
Solve the equation<br> 7h-5(3h-8) = 72
frosja888 [35]

Answer:

h = -4

Step-by-step explanation:

7h-5(3h-8) = 72

Distribute

7h - 15h +40 = 72

Combine like terms

-8h +40 = 72

Subtract 40 from each side

-8h+40-40 = 72-40

-8h = 32

Divide each side by -8

-8h/-8 = -32/-8

h = -4

3 0
3 years ago
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−

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3 years ago
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