Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x=-45
x
=
−
5
4
Decimal Form:x=-1.25
x
=
−
1.25
Mixed Number Form:x=-14
x
=
−
1
1
4
<u>Answer:</u>
Probability of getting three jacks = 
<u>Step-by-step explanation:</u>
It is given that you deal three cards from a regular deck which contains 52 cards.
We are to find the probability of getting all three Jack cards.
We know that there are a total of 4 jacks in a regular deck of 52 cards.
Therefore, the probability of getting three jacks = 
Answer:
The second option (see attached image)
Step-by-step explanation:
You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.
The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.
If you put them into fractions you get 4/3 and 3/2
Now let's give them the same denominator.
3*2=6 and vice versa
So let's multiply the numerators by the same numbers
4/3= 8/6
And 3/2 = 9/6
The second fraction has more parts cranberry so....
She you should ask for 3 cranberry cubes and 2 Apple cubes!
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.