Your first equation is 4x + 7y= 32, the x’s representing the brushes and the y’s the tubes of paint. Our second equation is 6x+8y=43. What I did is I multiplied the first equation by 1.5 so that it turns into 6x+10.5y=48. Then I subtracted the second equation from the first, canceling out the x’s and leaving us with 2.5y=5. Then divided and got y=2. We then go back to any of the original equations and plug it in to get the x’s.
6x+8(2)=43. We get 6x+16=43. We subtract and are left with 6x=27 and then x=4.5. Then plug both of them in to a different equation to double check. You could also use substitution by isolating one of the variables in one equation and then plugging it in to the other one.
Answer: m=45° n=15°
Step-by-step explanation:
ok so idk if you know about the 45-45-90
the first triangle has a 45° angle and 90° angle.
these equal to 135°, 180- 135 is 45.
so m= 45°.
the other triangle looks like it could be equilateral.
so that's 60-60-60.
since m= 45°
60-45= 15
therefore n= 15°
Length: 6m
Width: 5.25m
Could you give me Brainiac?
<span>Given that one
hundred students are asked a survey question as they walk through the
front gate at their middle school.
This a representative sample of
the schools population because the sampling is random and is not biased.</span>
<span>The correct answer is 12/17m+30/17 yellow ribbons.
Explanation:
Setting up a proportion to represent the ratio of red to yellow, we have
r/y = 17/6.
Cross multiply:
6r=17y.
To isolate y, cancel 17 by dividing:
6r/17 = y, or (6/17)r=y.
Substituting 2m+5 for r, we have
(6/17)(2m+5)=y.
Use the distributive property:
(6/17)*2m+(6/17)*5=y
(12/17)m+30/17=y.</span>