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3 years ago

Plant B is 6 2/3 inches tall. and C is 4 4/15 inches tall. Complete the sentences and show your reasoning

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

Plant C is 0.64 times as tall as Plant B

Plant C is 2.4 inches shorter than Plant B

Step-by-step explanation:

Plant B is 6 2/3 inches tall. Plant B is 20/3 inches tall.

Plant C 4 4/15 inches tall. Plant C is 64/15 inches tall.

a.) Plant C is shorter than Plant B $= \frac{64}{15} \times \frac{1}{\frac{20}{3} } = \frac{64}{15} \times\frac{3}{20} = \frac{16}{25}$ = 0.64 times.

b.) Plant C is shorter than Plant B by = $\frac{20}{3} - \frac{64}{15} = \frac{100}{15} - \frac{64}{15} = \frac{100 -64}{15} = \frac{36}{15} = 2\frac{2}{5} = 2.4$ inches

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Plssssss helpp :'Dd If JL = 5x + 1 and MK = 8x - 32, find JL and NK. JL = NK =

marysya [2.9K]

Answer:

56 units, 28 units

Step-by-step explanation:

Rectangle has equal diagonals:

JL = MK

Substitute and solve for x:

5x + 1 = 8x - 32
8x - 5x = 1 + 32
3x = 33
x = 11

Find the length of the diagonals:

JL = MK = 5*11 + 1 = 56 units

Diagonals of the rectangle bisect each other:

KN = MK / 2 = 56/2 = 28 units

5 0

3 years ago

Read 2 more answers

Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}

kompoz [17]

Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.

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2 years ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

3 years ago

How much does Greg earn per hour? Explain how to determine the unit rate from the table?

Butoxors [25]

Answer:

Well you can already answer that(37)

Step-by-step explanation:

In 3 hours and 30 minutes Greg has earned 64.75 dollars if you take that amount(the amount earned in 3 and a half hours) and divide it by the 3 1/2 hours(the time it took to earn that amount) you get 18.50 which is the amount you earn per half hour since that graph is increasing at 30min. per 18.50 or the amount.

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3 years ago

Multiply. Just multiply the decimals. Please?

Alex17521 [72]

1) 0.009

2) 0.294

3) 0.0612

4) 33.62

5) 26.46

6) 1.824

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3 years ago

Read 2 more answers