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Gwar [14]
3 years ago
11

Paul is solving an equation on the bottom of a page. His pen breaks, and ink spills on the corner of the page where the equation

is written, as shown.
Paul knows only one number or expression is covered by the ink stain, and he knows that the equation has a solution of 6. What must be the covered number or expression?

A. 3
B. 3x
C. 6x
D. 6

Mathematics
1 answer:
svlad2 [7]3 years ago
5 0

Answer: Option B

Step-by-step explanation:

If the solution is 6 then it means that x=6.

Let's call the missing number <em>y</em>

<em> </em>Substitute x=6 and <em>y</em> into the equation and solve for <em>y: </em>

6(6+4)=6(6+7)-y\\6(10)=6(13)-y\\60=78-y\\y=78-60\\y=18

The options does not show 18, but the option B shows 3x, then if x=6:

3x=3*6=18

The answer is the option B

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Answer if u love cats &amp; dogs
eimsori [14]

Answer:

<em>(7, 5.25)</em> lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4,   6,  8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given as:

y=mx+c

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5

Formula for slope is:

m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}

Now, the equation of line becomes:

y=\dfrac{3}{4}x+c

Putting the point (4,3) in the above equation to find <em>c</em>:

3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0

So, final equation of given function is:

y=\dfrac{3}{4}x

OR

4y=3x

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.

So correct answer is (7, 5.25).

6 0
3 years ago
Ryan loves collecting keychains from his family vacations. He currently has 15 keychains in his collection and wants to add 5 ke
aksik [14]

Answer:

rhtwjeukeyn3um3neh kedagjehkehjfq wy

Step-by-step explanation:

Cnameumag ga nhsntw ts at Arby's at ta ag fa at wy

7 0
3 years ago
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Need done asap !!
damaskus [11]
PointA is (-8,4)
PointB is (8,-4)
Rate of change is -1/2

4 0
1 year ago
How do i simplify (8×102)⋅(2.5×102)
jenyasd209 [6]

Answer:

208,080

Step-by-step explanation:

(8x102)x(2.5x102)

102x8=816

102x2.5=255

(816)x(255)

816x255=208,080

4 0
3 years ago
Read 2 more answers
I kinda need some help as soon as possible I'll give you 20 points
Shtirlitz [24]

Answer:

x= 5

Step-by-step explanation:

20x=100

divide 100 by 20

x=5

8 0
3 years ago
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