Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
Answer:
frac{21x^6y^5}{14x^2y^9}
Factor the number =\frac{7\cdot \:3x^6y^5}{14x^2y^9}
Factor the number 14=7. 2 =\frac{7\cdot \:3x^6y^5}{7\cdot \:2x^2y^9}
Cancel\:the\:common\:factor:}\:7 =\frac{3x^6y^5}{2x^2y^9}
Step-by-step explanation:
Answer:
4860 in ^3
Step-by-step explanation:
First we find the volume of the tank
V = l*w*h
V = 30*12*15
V = 5400 in ^3
It is 90% full so we multiply by 90 %
5400 * 90%
5400 * .90
4860 in ^3
Answer:
The answer is 84.
Step-by-step explanation:
The given equation is
4x*2 + 2x -5 = 0
Here a= 4, b= 2, c= -5
Since Discriminant= b*2 -4ac
Putting values
Discriminant= (2)*2 - 4(4)(-5)
= 4 + 80
= 84
Since our Discriminant(84) is >0 and is not a perfect square so the roots of the given equation are unequal and irrational(real).
What you do is turn them in to improper fractions
you will have 15/4 times 12/5 then multiply
you would get 180/20 and you simplify it to get
9/1 witch = 9
