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2 years ago

Peter was thinking of a number. peter adds 6 to it, then doubles it and gets an answer of 48.5. what was the original numbe

Mathematics

2 answers:

Alisiya [41]2 years ago

8 0

Answer: The original number was 18.25 or 18 1/4

18.25 plus 6 is 24.25

24.25 times 2 is 48.5

Step-by-step explanation:

mark as brilliant answer

romanna [79]2 years ago

5 0

Answer:

18.25

Step-by-step explanation:

x = number

add 6: (x+6)

double it : 2(x+6)

result = 48.5

2 (x+6) = 48.5

x+6 = 24.25

x = 18.25

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If F(x) = 7x - 6, which of the following is the inverse of F(x)?

Alex777 [14]

Answer:

$f^{-1} (x)=\frac{x+6}{7}$

Step-by-step explanation:

To find the inverse of a function, we must substitute in y for f(x), swap the locations of y and x, and then solve for y

$y=7x-6\\\\x=7y-6\\\\x+6=7y\\\\y=\frac{x+6}{7} \\\\f^{-1} (x)=\frac{x+6}{7}$

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3 years ago

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

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3 years ago

If 1+9+8=1 then 2+8+9=x

Gwar [14]

Assuming this is some kind of modular question, maybe mod 17.

since 1+8+9=1, we can say that 8+9=0
therefore, 2+0=x, so x=2

6 0

3 years ago

Write the slope intercept form Through:(5,-3) and (0,0)

andriy [413]

Answer:

y= $-\frac{3}{5} x$

3 0

3 years ago

Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2.

MA_775_DIABLO [31]

The equation of the line that passes through (−1,3) and is parallel to the line y = 2x + 2 in slope intercept form is y = 2x + 5

<h3><u>Solution</u>:</h3>

Given that line passes through (-1, 3) and parallel to line y = 2x + 2

We have to find the equation of the line

Let us first find the slope of the line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c ---- eqn 1

where "m" is the slope of the line and "c" is the y-intercept

Comparing the given line equation y = 2x + 2 with y = mx + c,

We get slope "m" = 2

The slope of parallel lines are equal

Hence slope of the line which is parallel to y = 2x + 2 is also 2

Now let us find the equation of line with slope "m" = 2 and passes through point (-1, 3)

Substitute (x, y) = (-1, 3) in eqn 1 to find value of "c"

3 = 2(-1) + c

3 = -2 + c

c = 5

Now substitute "c" = 5 and m = 2 in eqn 1 to get equation of required line

y = 2x + 5

Thus the equation of line in slope intercept form is y = 2x + 5

4 0

3 years ago