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Alex
3 years ago
11

A cooler contains bottles of orange juice,apple juice and grapefruit juice in the ratio of 3:4:3. There are 960 bottles of orang

e juice in the cooler Calculate the number of bottles of apple juice that are in the cooler
Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

1280

Step-by-step explanation:

The first 3 part of the ratio corresponds to 960 bottles of orange juice

Dividing 960 by 3 gives the value of one part of the ratio.

960 ÷ 3 = 320 ← value of 1 part of the ratio, then

apple juice = 4 × 320 = 1280 bottles

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Solving Exponential Equations (lacking a common base)<br> (0.66)^k=9
Alexandra [31]

Answer:

k = log9 / log 0.66

k = 5.3

Step-by-step explanation:

Please always remember that, when an exponential equation is given with different bases, the best approach is to take log of both sides.

If you have a calculator handy, that would be pretty fast and easy.

0.66 ^ k = 9

Take log of both sides:

klog 0.66 = log 9

k = log 9 / log 0.66

k = 0.954 / - 0.18

k = -5.3

Maths is fun, let's keep learning

3 0
3 years ago
A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection ac
Oksi-84 [34.3K]

Answer:

  • 3. line y=x
  • 4. 10 units to the right and 4 units up

Step-by-step explanation:

In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.

_____

You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.

After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.

7 0
4 years ago
Luis uses cubes to represent each term of a pattern based on a recursive function. The recursive function defined is f(n + 1) =
kari74 [83]

Answer:

figure 3: 17 cubes.

figure 4: 21 cubes.

figure 5: 25 cubes.

Step-by-step explanation:

Let the nth figure be represented by f(n).

also we are given f(n+1)=f(n)+4.

The number of cubes used in figure 1 i.e. f(1) is 9.

number of cubes used in figure 2 i.e. f(2) is 13

Now we have to find the number of cube used in figure 3, figure 4 and figure 5.

number of cubes in figure 3 i.e. f(3)=f(2)+4=13+4=17.

number of cubes in figure 4 i.e. f(4)=f(3)+4=17+4=21.

number of cubes in figure 5 i.e. f(5)=f(4)+4=21+4=25.



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