<h3>There are 135 bottles in all</h3>
<em><u>Solution:</u></em>
Given that,
A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7
Ratio = 1 : 1 : 7
Let the number of grape fruit juice bottles be 1x
Let the number of mango juice bottles be 1x
Let the number of orange juice bottles be 7x
There are 105 orange juice bottles
Therefore,
7x = 105
Divide both sides by 7
x = 15
Therefore,
number of grape fruit juice bottles = 1x = 15
number of mango juice bottles = 1x = 15
number of orange juice bottles = 7x = 105
Thus,
Total bottles = 15 + 15 + 105 = 135
Thus there are 135 bottles in all
Answer:
- The total Minutes of the Inside tasks.-F (Fish)
- The total Minutes of the Outside tasks.-G+D (Garden and Dog)
- The total Minutes of the tasks involving animals.-D+F (Dog and fish)
- The total Minutes of the tasks not involving animals.-G (Garden
Step-by-step explanation:
D is the number of minutes it takes to walk his dog
G is the number of minutes it takes to water the garden
F is the number of minutes it takes to feed his fish.
We are required to match these situations to their respective expressions:
<u>Situation</u>
- The total Minutes of the Inside tasks.
- The total Minutes of the Outside tasks.
- The total Minutes of the tasks involving animals.
- The total Minutes of the tasks not involving animals.
<u>Expression</u>
<u>Match:</u>
- The total Minutes of the Inside tasks.-F (Fish)
- The total Minutes of the Outside tasks.-G+D (Garden and Dog)
- The total Minutes of the tasks involving animals.-D+F (Dog and fish)
- The total Minutes of the tasks not involving animals.-G (Garden)
<u />
Answer:
function b
Step-by-step explanation:
When its asking for which function has a greater rate of change its asking for which slope has a greater value
the slope is calculated by change in y over change in x
for function a, as y goes up 2 x goes up 1
so the slope ( rate of change) is 2/1
for function b is y goes up 3 x goes up 1
so the slope (rate of change) is 3/1
3/1 is greater than 2/1 so function b has a greater rate of change
Answer: 1. x = (y - 2)² + 8

3. y = 2(x +9)² + 7
<u>Step-by-step explanation:</u>
Notes: Vertex form is: y =a(x - h)² + k or x =a(y - k)² + h
- (h, k) is the vertex
- point of vertex is midpoint of focus and directrix:


- p is the distance from the vertex to the focus
1)

Now let's find the a-value:

Now, plug in a = 1 and (h, k) = (-8, 2) into the equation x =a(y - k)² + h
x = (y - 2)² + 8
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2)

Now let's find the a-value:

Now, plug in a = -1/2 and (h, k) = (1, 10) into the equation x =a(y - k)² + h

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3)

Now let's find the a-value:

Now, plug in a = 2 and (h, k) = (-9, 7) into the equation y =a(x - h)² + k
y = 2(x +9)² + 7
Answer: 
Step-by-step explanation:
Given :

add 2 to both sides

Therefore :

