Answer:
Hi!
The correct answer is d) 1 over 15 minus 1 over x equals x over 35.
Step-by-step explanation:
We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.
We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.
We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.
So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.
<em>// multiply by 105x both sides.</em>
<em>// simplifly</em>
<em> //substract 3x and add 105 in both sides</em>
<em>// solve</em>
<em>//</em> <em>divide by 4 in both sides</em>
<em>// solve</em>
It makes sense that Byron fills the rack faster than Emmitt empties the rack.
Answer:
24 sq cm
Step-by-step explanation:
According to theorem of area if parallelogram and triangle, if the triangle and a parallelogram lie between two parallel line and their base is same then, the area of triangle is half of the area of the parallelogram. so here the parallelogram PTRS and the triangle PTR lie between same parallel lines PT and RS and base is also same PT. so area of PTR is 12sq cm. Again, triangles PTR and TRQ lie between same parallel lines PQ and SR and same base PQ. so their area also same that is 12 sq cm. Now, area of PQR = area of PTR + area of TRQ = 12 + 12 sq cm = 24 sq cm.
Answer:
y=25x+7
Step-by-step explanation:
The equation will be in the form of y=mx+c where m is gradient/slope and c is constant,
normally referred as y intercept.
Slope is given by dividing change in y by change in x
Slope=(57-32)/(2-1)=25
Therefore slope is 25
For the first term
32=25(1)+c
C=32-25=7
Therefore, the general equation will be y=25x+7
Answer:
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Step-by-step explanation:
To find the interval, we can just make the conversion of the values from pounds to kilograms.
Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.
Confidence interval: (102.3 pounds, 106.5 pounds).
102.3 pounds = 102.3/2.2 = 46.5 kilograms
106.5 pounds = 106.5/2.2 = 48.41 kilograms
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Pythagorean Theorem- A^2+B^2=C^2
1) 6^2+9^2= x^2
2) 36+81= 117
Square root 117 =10.82
Hope this helped :)
