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Vlada [557]
3 years ago
12

Solve the following equation.Please show your work.7x-(3x+10)=-46

Mathematics
2 answers:
gayaneshka [121]3 years ago
5 0

Answer:

x = -9

Step-by-step explanation:

7x - (3x + 10) = -46  (original problem)

7x - 3x - 10 = -46  (distributive property)

4x - 10 = -46  (combine like terms)

    +10    +10  (inverse operation)

4x = -36  (addition)

1/4 x 4x = -36 x 1/4  (inverse operation)

x = -9  (multiplication)


m_a_m_a [10]3 years ago
4 0

First, you have to distribute the -1 throughout the parentheses, which gives you 7x-3x-10=-46.

Then, you combine 7x and -3x, which gives you 4x-10=-46.

Then, you add 10 to both sides of the equation, which gives you 4x=-36.

FInally, you divide both sides of the equation by 4, which gives you x=-9.

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(a) Work out the reciprocal of 1.25
Oxana [17]

Answer:

0.8 OR \frac{4}{5}

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

\frac{125/25}{100/25}=\frac{5}{4}

Now we just flip 5/4 to get our reciprocal:

\frac{4}{5} = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 (\frac{5}{4}) is 0.8 (\frac{4}{5}).

Hope this helped!

8 0
3 years ago
05.01 MC)
egoroff_w [7]
The answer is number 2)
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B1%7D%20" id="TexFormula1" title=" \sqrt{1} " alt=" \sqrt{1} " align="absmiddle" c
bazaltina [42]
The answer will be 1
5 0
4 years ago
Simplify and expression for the perimeter of the the rectangle shown.
erma4kov [3.2K]

Answer:

Step-by-step explanation:

l = 8.6 x + 3

b = 5.2

perimeter =

6 0
3 years ago
Find the equation of a line passing through a point (3,5) and perpendicular to the line joining the points (3, 7) and (7, -1)
eduard

Step-by-step explanation:

we start first by finding the gradient of the line

change in y/change in x

7-(-1)/3-7=8/-4

=-2

then for perpendicular lines m1m2=-1

therefore to find the gradient of that line

-2m2=-1

therefore m2=2

so therefore

y-5/x-3=2

so y-5=2x-6

y-2x=-1

in the form y= mx +c

then y=2x-1

7 0
3 years ago
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