A direct variation generally has the equation Y=KX
Because Mrs. Potts makes 5 dozen ravioli in 1 hour, this will be the K value.
(5 dozen/1 hr)
To figure out how many she can make in 2 1/2 hrs. You use 5 dozen/1 hr as the K value and multiply that by 2 1/2 hrs (the X value).
The hrs will cancel out and you will be left with the number of ravioli made in 2 1/2 hrs.

5 0

3 years ago

Log(x)²=(logx)², find the value of x

Gnesinka [82]

Answer:

x = 7.39

Step-by-step explanation:

log(x)²=(logx)², find the value of x

log x² = log x * log x

2log x = log x * log x

2 = log x

Take the exponent pf both sides

e² = e^logx

e² = x

x = e²

x = 7.39

6 0

3 years ago

Find the area of trapezoid JKLM. Round the answer to the nearest tenth.

maksim [4K]

from the diagram, we can see that the height or line perpendicular to the parallel sides is 8.5.

likewise we can see that the parallel sides or "bases" are 24.3 and 9.7, so

$\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8.5\\ a=24.3\\ b=9.7 \end{cases}\implies \begin{array}{llll} A=\cfrac{8.5(24.3+9.7)}{2}\\\\ A=\cfrac{8.5(34)}{2}\implies A=144.5~in^2 \end{array}$

5 0

2 years ago

Whats the diffrence of 2 2/3 - 1 2/5 write answer in simplest form

Fofino [41]

$2 \frac{2}{3}-1 \frac{2}{5}=2 \frac{2 \times 5}{3 \times 5}-1 \frac{2 \times 3}{5 \times 3}=2 \frac{10}{15}-1 \frac{6}{15}=\boxed{1\frac{4}{15}}$

3 0

3 years ago

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