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stira [4]
3 years ago
10

Solve for x please help me!!

Mathematics
2 answers:
lyudmila [28]3 years ago
7 0

Answer:

it should be 64 ....

Step-by-step explanation:

Lady bird [3.3K]3 years ago
5 0
I think 9



............
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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

so

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

so

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

3 0
3 years ago
One number is 1/2 of another number the sum of the two numbers is 27 find the two numbers
Art [367]
Filling up the space because it has to be 20 characters

4 0
3 years ago
(fog)(x). F(x)=3x, g(x)=x+7
ivann1987 [24]

For this case we have the following functions:

f (x) = 3x\\g (x) = x + 7

We must find (f_ {0} g) (x). By definition we have to:

(f_ {0} g) (x) = f (g (x))

So:

f (g (x)) = 3 (x + 7) = 3x + 3 * 7 = 3x + 21

Finally, the composite function is:

(f_ {0} g) (x) = 3x + 21

Answer:

(f_ {0} g) (x) = 3x + 21

4 0
3 years ago
Three moons are in the same circular orbit around a planet. The moons are each 120,000 kilometers from the surface of the planet
VladimirAG [237]

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

MN is the diameter of the planet which is MN = 60000

AM and NC are the distance of moons from the surface of the planet.

AM = NC = 120000

Since, angle ABC is given as 90 degree, it means, line AC will pass from the diameter of the planet.

So, distance between moon A and moon C is =

AC=AM + MN + NC

AC = 120000+ 60000+ 120000

AC = 300000

Hence the distance between point A and point C is 300000 Km.   :   Answer

Hope it will help :)

8 0
3 years ago
What is the unit rate of $2.98
Semenov [28]

Answer:

Step-by-step explanation:

The existence of a unit rate implies that you have TWO variables.  Here you list only one:  $.

If you pay $2.98 for 6 units of something, such as pieces of fruit, then the unit rate would be:

$2.98

----------------------- = $0.50/piece

6 pieces of fruit

7 0
3 years ago
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