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3 years ago

-x+4=2x-8 We think it’s x=11.5

Mathematics

1 answer:

kvv77 [185]3 years ago

6 0

Answer:

x=4

Step-by-step explanation:

-x+4=2x-8

4=2x-(-x)-8

4=2x+x-8

4=3x-8

3x=4+8

3x=12

x=12/3

x=4

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The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o

Anna11 [10]

The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism

we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft

4 0

2 years ago

The difference between the acute angles of a right angled triangle is 72degree find them .

MaRussiya [10]

The 2 angles add up to 90 degrees so

x + y = 90, also:-

x - y = 72 (given)

adding the 2 equations:-

2x = 162

x = 81

and therefore

y + 81 = 90

y = 9

Answer the 2 angles are 81 and 9 degrees

5 0

2 years ago

Someone please help

AleksandrR [38]

Replace y with 31:

31 = 7x -4

Add 4 to both sides:

35 = 7x

Divide both sides by 7:

x = 5

Input x = 5

6 0

2 years ago

If EG = 59, and EF = 8x - 14, while FG = 4x + 1

lyudmila [28]

Answer:

x = 6

Step-by-step explanation:

EG = 59

EF = 8x - 14

FG = 4x + 1

to find the value of x

EF + FG = EG (same line)

8x - 14 + 4x + 1 = 59

12x -13 = 59

12x = 59 + 13

12x = 72

x = 72 ÷ 12

x = 6

You can even cross check for correct answer

EF + FG = EG

instead of x place the x's value we got

8x - 14 + 4x + 1 = 59

8 (6) - 14 + 4 (6) + 1 = 59

48 - 14 + 24 + 1 = 59

34 + 25 = 59

59 = 59

CROSS - CHECKED

4 0

2 years ago

Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast

cluponka [151]

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

4 0

3 years ago