If you bisect an angle that is 128 degrees, what size are the two new angles?
2 answers:
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Answer:
1. No, not all line segments
2. Yes, quadrilateral
3. Yes, hexagon
4. No, it is not a closed shape.
1. Hexagon, concave
2. Octagon, convex
3. Pentagon, concave
4. Triangle, convex
5. No, not a closed shape
6. Yes
7. No, not all line segments
8. Yes
9. Uploaded in picture
10. Yes, both have exactly four sides
11. Four
12. C. 3
So this does sound quite confusing at first, but let's try to pull the numbers out of this word problem first.
There is a maximum of 1,000 tickets.
The tickets are $8 before and $10 on the day of the show.
They need to sell at least $7,500 worth of tickets.
A) We want to write a system of inequalities, so we translate this into mathy language.
Since the maximum is 1,000, there are no more than 1,000 tickets. Another way of writing this is
.
The total price of the tickets must be at least $7,500, (or no less than $7,500). We can write this as
.
Now, the key is writing this with the prices of the tickets we are given. Forget about the variables we just named.
Let's say the number of tickets purchased before the show is x, and the number on the day-of is y.
The total number of these tickets can't be more than 1,000, right?
So we can write
.
If you sell x tickets, since you make $8 for every ticket, you make 8x dollars. If you sell y tickets, since you make $10 for every ticket, you make 10y dollars.
And we need at least $7,500, so we can write
.
These two inequalities model the situation: and . Don't forget to state that x is the number of tickets sold before the show, and y is the number on the day-of.
B) The club sold 550 tickets before the show, meaning x is 550. Remember, each ticket purchased then costs $8, so thus far, the club made $550<span>⋅8 = $4,400.
They can sell up to 1,000 – 550 tickets today, so 450 more tickets. Each ticket sold today costs $10, so they can make $450</span><span>⋅10 = $4,500.
They need to make at least $7,500. They have already made $4,400, and they can make up to $4,500 more, so they can make up to $8,900, which is more than $7,500. So yes, they can meet their goal.</span>
There is a maximum of 1,000 tickets.
The tickets are $8 before and $10 on the day of the show.
They need to sell at least $7,500 worth of tickets.
A) We want to write a system of inequalities, so we translate this into mathy language.
Since the maximum is 1,000, there are no more than 1,000 tickets. Another way of writing this is
The total price of the tickets must be at least $7,500, (or no less than $7,500). We can write this as
Now, the key is writing this with the prices of the tickets we are given. Forget about the variables we just named.
Let's say the number of tickets purchased before the show is x, and the number on the day-of is y.
The total number of these tickets can't be more than 1,000, right?
So we can write
If you sell x tickets, since you make $8 for every ticket, you make 8x dollars. If you sell y tickets, since you make $10 for every ticket, you make 10y dollars.
And we need at least $7,500, so we can write
These two inequalities model the situation:
B) The club sold 550 tickets before the show, meaning x is 550. Remember, each ticket purchased then costs $8, so thus far, the club made $550<span>⋅8 = $4,400.
They can sell up to 1,000 – 550 tickets today, so 450 more tickets. Each ticket sold today costs $10, so they can make $450</span><span>⋅10 = $4,500.
They need to make at least $7,500. They have already made $4,400, and they can make up to $4,500 more, so they can make up to $8,900, which is more than $7,500. So yes, they can meet their goal.</span>
Answer
Find out the how many cups of red and blue paint would you need .
To prove
As given
Cee-Lo Green decided to paint his entire house purple .
The purple paint mixture contains cup of blue paint and
cup of red paint.
Thus the ratio of the blue paint to the red paint is given by.
Thus
As given
same ratio to make 20 cups of purple paint .
Let us assume that the x be the scalar multiple of the blue and the red paint.
Blue paint cups = 3x
Red paint cups = 2x
2x + 3x = 20
5x = 20
x = 4
Thus
Blue paint cups = 3 × 4
= 12 cups
Red paint cups = 2 × 4
= 8 cups
Therefore 8 cups of red and 12 cupsblue paint would you need to form 20 cups of the purple paint.