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svp [43]
3 years ago
5

-6=x/8+4 what is the value of x?

Mathematics
1 answer:
taurus [48]3 years ago
6 0

Answer:

  -80

Step-by-step explanation:

Subtract 4:

  -10 = x/8

Multiply by 8:

  -80 = x

The value of x is -80.

_____

This sort of equation is sometimes referred to as a "two-step" linear equation.

<u>Step 1</u>. After you identify the term containing the variable (x/8), you identify any constants on the same side of the equal sign (+4). Add their opposite to both sides of the equation. That gets the variable term by itself.

<u>Step 2</u>. Then identify the coefficient of the variable (1/8). Multiply both sides of the equation by the reciprocal of this value. That will make the coefficient of the variable become 1. The constant on the other side of the equal sign is now the value of the variable.

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Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.
Andrews [41]

Answer:

505.4 in²

Step-by-step explanation:

½d2= 19×tan 35° = 19×0.7 = 13.3 in

d2 = 2×13.3 = 26.6 in

d1 = 2×19=38 in

the area of Rhombus =

½×38×26.6 = 505.4 in²

3 0
3 years ago
An exam worth 145 points contains 50 questions. The number of two-point questions is equal to 50 minus the number of five-point
abruzzese [7]

Answer:

Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

Step-by-step explanation:

i) let the number of 2 point question is x.

ii) let the number of 5 point questions be y

iii) total number of questions is 50

iv) therefore x + y = 50

v) it is also given that 2x + 5y = 145

vi) solving for the two equations found in iv) and v). Multiplying iv) by 2 we get

    2x + 2y = 100

vii) subtracting equation vi) from equation v) we get 3y = 45.

viii) Therefore y = 15.

ix) using the value in viii) and substituting in iv) we get x + 15 = 50.

    Therefore x = 50 - 15  = 35

x) Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

3 0
3 years ago
Read 2 more answers
Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
BlackZzzverrR [31]

Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

\sf\longrightarrow 3x - 2y +7=0

\sf\longrightarrow 6x +ay -18 = 0

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\sf\longrightarrow Slope_1 = \dfrac{3}{2}

And the slope of the second line is ,

\sf\longrightarrow Slope_2 =\dfrac{-6}{a}

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

\sf\longrightarrow (-1)a = -9

Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

8 0
3 years ago
Basic help :(<br> its math
elena-14-01-66 [18.8K]

Answer:

the slope or rate of change is 8 over 6 or 4 over 3 4/3

7 0
2 years ago
So teacher asked her to find 42.6÷10 to the second power how many places in what direction should sue move the decimal point to
ki77a [65]

move the decimal point 2 places to the left

42.6 / 10^{2} = 0.426


4 0
3 years ago
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