The answer is that the equation y=5x+31 is perpendicular to the equation y=-1/5x+3 and that equation passes through (-5,6) also y=5x+31 is in y=mx+b form already
y=mx+b
Here's what I got for the first question.
Did you want answers for the second one? I couldn't read that part of the image very well, if you did.
Solutions
We know that <span>a spinner was divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The results were tallied up and were written in a table.
</span><span>Red:93
Blue:59
Green:105
Yellow:43
</span>
The spinner landed the highest on green. To find <span>the probability that the next spin will land on green we have add all the numbers and simplify them.
93 + 59 + 105 + 43 = 300
Out of 300 the spinner landed to green 105 times. We have the fraction 105/300.
105/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 15.
</span>We can reduce the fraction by dividing the numerator and denominator by the GCF = 15.
105 ÷ 15 = 7
300 ÷ 15 = 20
Our new fraction is 7/20
The <span>probability that the next spin will land on green is 7/20.
</span>≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
<span>
To get the answer to part (B) we have to add the results of red and green then simplify.
93 + 105 = 198
The fraction is 198/300. </span><span>198/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 6.
</span>We can reduce the fraction by dividing <span>the numerator and denominator by the GCF = 6.
</span>198 ÷ 6 = 33
300 ÷ 6 = 50<span>
The new fraction is 33/50
</span>The probability that the next spin will land on either green or red is <span>33/50.
</span>
Hope this helps
Answer:
x intercept (15/4,0)
y intercept (0,2)
slope 8/15
Step-by-step explanation:
15y − 8x = 30.
To find the x intercept, set y =0
15(0) -8x = 30
8x = 30
Divide each side by 8 to solve for x
8x/8 = 30/8
x = 15/4
To find the y intercept, set x =0
15y -8(0) = 30
15y = 30
Divide each side by 15
15y/15 = 30/15
y =2
To find the slope we solve the equation for y
15y − 8x = 30.
Add 8x to each side
15y − 8x+8x =8x +30.
15y = 8x +30
Divide each side by 15
15y/15 = 8x/15 +30/15
y = 8/15x +2
The slope is 8/15
Answer:
the unit rate is 30 miles 1 gallon
