Answer:
Ounces of strawberry juice: 20 ounces
Ounces of water: 80 ounces
Step-by-step explanation:
For this problem, we can use the equation:
x + y = 100 ounces
Where x = The number of ounces of strawberry juice
and y = The number of ounces of water
Since we know that Molly uses four times as many ounces of water for each ounce of strawberry juice, we can conclude that:
y = 4x
With this information, we can use substitution to solve for x.
x + y = 100 ounces
x + (4x) = 100
Combine like-terms.
5x = 100
x = 20
Now that we know the value of x, we can figure out how many ounces of strawberry juice and how many ounces of water Molly needs.
Since x = The number of ounces of strawberry juice, Molly needs to use 20 ounces of strawberry juice.
Since y = The number of ounces of water, Molly needs to use 80 ounces of strawberry juice. (y = 4x | x = 20 | y = 4(20) | y = 80)
~Hope this helps!~
The actual wingspan of fly is 5.5cm
Step-by-step explanation:
Given,
Scale of drawing;
4mm = 1cm
Ratio of mm to cm = 4:1
Wingspan of fly in drawing = 22mm
Let,
x be the actual wingspan.
Ratio of mm to cm = 22:x
Using proportion;
Ratio of mm to cm :: Ratio of mm to cm
![4:1::22:x\\](https://tex.z-dn.net/?f=4%3A1%3A%3A22%3Ax%5C%5C)
Product of extreme = Product of mean
![4*x=22*1\\4x=22](https://tex.z-dn.net/?f=4%2Ax%3D22%2A1%5C%5C4x%3D22)
Dividing both sides by 4
![\frac{4x}{4}=\frac{22}{4}\\x=5.5](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B4%7D%3D%5Cfrac%7B22%7D%7B4%7D%5C%5Cx%3D5.5)
The actual wingspan of fly is 5.5cm
Keywords: proportion, division
Learn more about division at:
#LearnwithBrainly
Answer: The value of polynomial function at -1 is 0 and the option d is correct.
Explanation:
The given function is,
![f(x)=9x^4-10x^2+1](https://tex.z-dn.net/?f=f%28x%29%3D9x%5E4-10x%5E2%2B1)
We have to value of polynomial function at -1. It means we have to find f(-1).
Put x=-1 in the given function.
![f(-1)=9(-1)^4-10(-1)^2+1](https://tex.z-dn.net/?f=f%28-1%29%3D9%28-1%29%5E4-10%28-1%29%5E2%2B1)
![f(-1)=9(1)-10(1)+1](https://tex.z-dn.net/?f=f%28-1%29%3D9%281%29-10%281%29%2B1)
![f(-1)=9-10+1](https://tex.z-dn.net/?f=f%28-1%29%3D9-10%2B1)
![f(-1)=0](https://tex.z-dn.net/?f=f%28-1%29%3D0)
Therefore option d is correct and the value of polynomial function at -1 is 0.
Answer:
Width = 51 millimeters
Step-by-step explanation:
Perimeter = 222 millimeters
Length = 60 millimeters
Width = ?
The relationship between the quantities of the rectangle is given as;
Perimeter = 2 (Length + Width)
Inserting the values and solving for width
222 = 2 (60 + Width)
222 = 120 + 2 Width
2 Width = 222 - 120 = 102
Width = 102 / 2
Width = 51 millimeters
<span>The range of f(x)=7*4^x is all positive real numbers is true.</span>