Answer:
2(a - 4) + 5(b + 1) = 8. The result of this equation when solving is a = - 5b/2 + 11/2.
3(a - 1) - 2(b - 2) = -11. The result of this equation when solving is a = 2b/3 - 4.
Step-by-step explanation:
Hope this helps =)
Answer:
13 m
Step-by-step explanation:
volume=1/2(b×h)×length/height
height =volume÷base area(1/2b×h)
832÷64=13m
Answer:
No, her answer is unreasonable because 0.2 * 6 = 1.2
Step-by-step explanation:
Here in this question, we are trying to use an approximation to see if what was said to be the result of a calculation is reasonable as an answer.
Looking at her division, 2.76/6 = 0.19
To the nearest tenth , 0.19 is same as 0.2, now multiplying 0.2 by 6, what we have is 1.2 ( of which even 0.19 * 6 is expected to be less than this). we can see that this value is quite far from our expected answer of 2.76 which makes the answer an unreasonable one
Thus, the division 2.76/6 = 0.19 is not a reasonable answer
9514 1404 393
Answer:
- 300 adult tickets
- 600 student tickets
Step-by-step explanation:
We can group tickets into a group that has 2 student tickets and 1 adult ticket for a price of 2($1.25) +2.25) = $4.75. The number of these groups sold is ...
$1425/4.75 = 300
300 adult tickets and 600 student tickets were sold.
Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
