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3 years ago

Jude types 1,162 characters in 7 minutes. What is her typing rate in characters per minute?

Mathematics

2 answers:

amm18123 years ago

7 0

166 characters per minute. 1,162 divided by 7 = 166 : )

tia_tia [17]3 years ago

4 0

166 characters per minute

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Jason baked 7 pans of brownies. He gave 1/4 of the brownies to his two sisters. How many pans of brownies did he give to his sis

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like two of them

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3 years ago

What value will make the equation true? <br> Y + 2 + 6 + Y = 86

g100num [7]

Answer:

Step-by-step explanation:

you need to work backwards

86-2-6=78

therefore, 78 = 2y

y = 2y/2, so 78/2 = 39

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3 years ago

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A train travels 500 miles In 8 hours. Assuming that the train continues to travel at a constant rate, write an equation that rep

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Answer:

y= 8x

Step-by-step explanation:

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3 years ago

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Use the cross product to find the sin(θ) where θ is the angle between v and w where v=i+j and w=i+j+k.

romanna [79]

$\|\mathbf v\times\mathbf w\|=\|\mathbf v\|\|\mathbf w\|\sin\theta$

$\mathbf v\times\mathbf w=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&1&0\\1&1&1\end{vmatrix}$
$\mathbf v\times\mathbf w=\begin{vmatrix}1&0\\1&1\end{vmatrix}\mathbf i-\begin{vmatrix}1&0\\1&1\end{vmatrix}\mathbf j+\begin{vmatrix}1&1\\1&1\end{vmatrix}\mathbf k$

$\mathbf v\times\mathbf w=\mathbf i-\mathbf j$
$\implies\|\mathbf v\times\mathbf w\|=\sqrt{1^2+(-1)^2}=\sqrt2$

$\mathbf v=\sqrt{1^2+1^2}=\sqrt2$
$\mathbf w=\sqrt{1^2+1^2+1^2}=\sqrt3$

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3 years ago

A company is selling toothpicks. It costs $0.03 to produce each toothpick and a fixed cost of $110 a month for the company. If t

AlexFokin [52]

<h3>11,000 toothpicks must be sold in order to break even.</h3>

Step-by-step explanation:

Here, let us assume the number of toothpicks sold to break even = m

So, for m toothpicks, Total cost = Total Earnings

Now, the cost of producing 1 toothpick = $0.03

So, cost of production of m toothpicks = m x ( cost of 1 toothpick)

= $(0.03 m)

Also, fixed month cost = $110

So, Total cost of production = $110 + $0.03 m .... (1)

Again, the selling cost of 1 toothpick = $0.04

So, selling cost of m toothpicks = m ( cost of 1 toothpick) = $(0.04 m) ..(2)

From (1) and (2)

110 + 0.03 m = (0.04 m)

⇒ 110 = 0.01 m

or, m = $\frac{110}{0.01} = 11,000$

⇒ m = 11,000

Hence, 11,000 toothpicks must be sold in order to break even.

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3 years ago

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