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Wittaler [7]
3 years ago
14

A bus has 10 seats each takes 3 people,the bus also has 12 seats each of which takes 2 people,if there are 9 standing spaces, ho

w many people can the bus contain
Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

63

Step-by-step explanation:

so this question has 10 seats each takes 3 people 10*3=30 people

The bus also has 12 seats that can take 2 people   12*2=24 people

standing spaces=9

So the answer to this question would be 30+24+9=63

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If the cost of the materials for a basic bar of soap is $2.50 and Lyndi sells each bar of soap for $4.50, what is the markup per
Nadusha1986 [10]

Answer:

80%

Step-by-step explanation:

Cost of materials for a bar of soap = $ 2.50

Selling price for a bar of soap = $ 4.50

Markup percent = \frac{selling\ price\ per\ unit - cost\ per\ unit}{cost\ per\ unit} \times 100

Markup percent = \frac{4.50-2.50}{2.50} \times 100

= \frac{2}{2.50} \times 100

= \frac{200}{250} \times 100

= 20 \times 4

= 80<em>% </em>

3 0
3 years ago
Use the graph below to fill in the blank with the correct number:<br><br> f(0) = _______
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When the input is 0 (horizontal axis), the output is 1 (vertical axis).
3 0
3 years ago
Solve the given initial-value problem. x' = 1 2 0 1 − 1 2 x, x(0) = 2 7
Ilia_Sergeevich [38]
I'll go out on a limb and guess the system is

\mathbf x'=\begin{bmatrix}\frac12&0\\1&-\frac12\end{bmatrix}\mathbf x

with initial condition \mathbf x(0)=\begin{bmatrix}2&7\end{bmatrix}^\top. The coefficient matrix has eigenvalues \lambda such that

\begin{vmatrix}\frac12-\lambda&0\\1&-\frac12-\lambda\end{vmatrix}=\lambda^2-\dfrac14=0\implies\lambda=\pm\dfrac12

The corresponding eigenvectors \eta are such that

\lambda=\dfrac12\implies\begin{bmatrix}\frac12-\frac12&0\\1&-\frac12-\frac12\end{bmatrix}\eta=\begin{bmatrix}0&0\\1&-1\end{bmatrix}\eta=\begin{bmatrix}0\\0\end{bmatrix}
\implies\eta=\begin{bmatrix}1\\1\end{bmatrix}

\lambda=-\dfrac12\implies\begin{bmatrix}\frac12+\frac12&0\\1&-\frac12+\frac12\end{bmatrix}\eta=\begin{bmatrix}1&0\\1&0\end{bmatrix}\eta=\begin{bmatrix}0\\0\end{bmatrix}
\implies\eta=\begin{bmatrix}0\\1\end{bmatrix}

So the characteristic solution to the ODE system is

\mathbf x(t)=C_1\begin{bmatrix}1\\1\end{bmatrix}e^{t/2}+C_2\begin{bmatrix}0\\1\end{bmatrix}e^{-t/2}

When t=0, we have

\begin{bmatrix}2\\7\end{bmatrix}=C_1\begin{bmatrix}1\\1\end{bmatrix}+C_2\begin{bmatrix}0\\1\end{bmatrix}=\begin{bmatrix}C_1\\C_1+C_2\end{bmatrix}

from which it follows that C_1=2 and C_2=5, making the particular solution to the IVP

\mathbf x(t)=2\begin{bmatrix}1\\1\end{bmatrix}e^{t/2}+5\begin{bmatrix}0\\1\end{bmatrix}e^{-t/2}

\mathbf x(t)=\begin{bmatrix}2e^{t/2}\\2e^{t/2}+5e^{-t/2}\end{bmatrix}
5 0
4 years ago
What's 2+2-7*22? i cant figure it out with mental math
maks197457 [2]
If its 7 times 22 then the answer is negative 36.
4 0
3 years ago
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Jillian plans a pillow pattern before sewing. The parallelogram in the center of the pattern has a base length of 9 inches and a
OLEGan [10]

Answer:

The area surrounding the parallelogram can be found by subtracting 63 from 128

Step-by-step explanation:

Parallelograms can be said to be shapes which has four sides including two pairs of sides that are parallel and the four shapes are square, rectangle, rhombus, and rhomboid. Although rhombus is said to look exactly like a slanted square, while rhomboid is said to looks like a slanted rectangle.

Therefore when solving the problem she should apply the area surrounding the parallelogram which can be found by subtracting 63 from 128 since

She needs to find the area of the fabric surrounding the parallelogram pattern.

6 0
3 years ago
Read 2 more answers
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