Answer:
![\boxed {t = \frac{15}{8}}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bt%20%3D%20%5Cfrac%7B15%7D%7B8%7D%7D)
Step-by-step explanation:
Solve for the value of
:
![3t = 5(3 - t)](https://tex.z-dn.net/?f=3t%20%3D%205%283%20-%20t%29)
-Use <u>Distributive Property</u>:
![3t = 5(3 - t)](https://tex.z-dn.net/?f=3t%20%3D%205%283%20-%20t%29)
![3t = 15 - 5t](https://tex.z-dn.net/?f=3t%20%3D%2015%20-%205t)
-Take
and add it to
:
![3t + 5t = 15 + 5t - 5t](https://tex.z-dn.net/?f=3t%20%2B%205t%20%3D%2015%20%2B%205t%20-%205t)
![8t = 15](https://tex.z-dn.net/?f=8t%20%3D%2015)
-Divide both sides by
:
![\frac{8t}{8} = \frac{15}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B8t%7D%7B8%7D%20%3D%20%5Cfrac%7B15%7D%7B8%7D)
![\boxed {t = \frac{15}{8}}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bt%20%3D%20%5Cfrac%7B15%7D%7B8%7D%7D)
Therefore, the value of
is
.
Answer:
16
Step-by-step explanation:
Using PEMDAS
2 - 3(x+4) +2^3; if x= -6
= 2- 3((-6)+4) +2^3
Parenthesis:
= 2 - 3(-2) +2^3
Exponent:
=2-3(-2) + 8
Multiplication: take note of the signs (+) (-)
= 2+6+8
There's no division or subtraction.
Addition:
=16
I hope this helps!
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Answer:
I got 3 hours and 10 minutes
Step-by-step explanation:
If you continuously add numbers in decimal form you will find the answer also.
But also another way in order to find a time answer you could also subtract
7.50-4.40= 3.10
or just 3.1 in this case.
But in a time frame always add the 0 to it.
So 3 hours and 10 minutes!
I think so indeed.
Answer:6
Step-by-step explanation:solve the equation, you know that it equals 90 because the angle is 90
so 16x-6=90
+6 both sides
16x=96
divided by 16 both sides to isolate x
x=6
Let's call our unknown angle x .
We know that the sum of the three interior angles of a triangle is 180°
This way,
![\begin{gathered} x+90+61=180 \\ \rightarrow x=180-90-61 \\ \rightarrow x=29 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B90%2B61%3D180%20%5C%5C%20%5Crightarrow%20x%3D180-90-61%20%5C%5C%20%5Crightarrow%20x%3D29%20%5Cend%7Bgathered%7D)
We get that the third angle measures 29°