Answer:
81.11 in decimal
81 1/9 in fraction
Step-by-step explanation:
Let the number be x
1.9 time a number is equal to 1.9x
1.7 plus 1.9 times a number is equal to 1.7 + 1.9x
Now given that
1.7 plus 1.9 times a number equals the sum of the number and 74.7
mathematically we have relation equation as
1.7 + 1.9x = x + 74.7
subtracting 1.7 from both side
1.7 + 1.9x - 1.7 = x + 74.7 - 1.7
=> 1.9x = x + 73
subtracting x from both side
1.9x - x = x + 73 - x
0.9x = 73
dividing both side by 0.9
0.9x/0.9 = 73/0.9
x = 81.11 or 81 1/9
Thus, the number is
81.11 in decimal
81 1/9 in fraction
<span>To check the quotient of a division problem, I would multiply the quotient by the divisor and add the remainder. If the quotient is correct, the result will be the dividend.
example is below
</span><span><span><span><span>x2</span>−x−6/</span><span>x−3</span></span>=<span><span>(x−3)(x+2)/</span><span>x−3</span></span>=x+2</span>
The statement is valid. To set up a Euler diagram, follow these steps
Step 1) Draw a large circle and label it circle A
Step 2) Inside this large circle, draw a smaller circle and label it circle B
Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means.
So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"
This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement.
Answer:
4. E=4x-15(vertically opposite)
F=E(corresponding angles)
E=4x-15
5.3x+6x+O=180(angles on a straight line)
9x+0=180
9x=180-0
9x/9=180/9
x=20
Answer:
34, D
Step-by-step explanation:
Change 4 and 1/4 to an improper fraction
4 1/4 = 17/4
Now, you would divide 17/4 by 1/8...
17/4 divided by 1/8
Reciprocate the fraction 1/8 and change the division sign to multiplication to get...
17/4 multiplied by 8/1
= 136 / 4
Simplify
136 / 4
= 34
So, you can grow 34 plants.
Hope this helps!