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ruslelena [56]
3 years ago
8

The bakers at Healthy Bakery can make 170 bagels in 2 hours. How many

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Given:

The bakers at Healthy Bakery can make 170 bagels in 2 hours.

To find:

How many  bagels can they bake in 14 hours and the rate per hour.

Solution:

We have,

Number of bagels the bakers can bake in 2 hours = 170 bagels

Number of bagels the bakers can bake in 1 hours = \dfrac{170}{2} bagels

                                                                                   = 85 bagels

Therefore, the average rate is 85 bagels per hour.

Number of bagels the bakers can bake in 14 hours = 14\times 85 bagels

                                                                                    = 1190 bagels

Therefore, the bakers can bake 1190 bagels in 14 hours.

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A line intersects the point (-11, 4) and has
alekssr [168]

Answer: Point slope form is y-y1=m(x-x1)

Step-by-step explanation:

Here y1=4

x1=-11

m i.e slope=-2

And there you go.

5 0
3 years ago
304001 in expanded form
allsm [11]

Answer:

300,000 + 4,000 + 1

Step-by-step explanation:

Expanded form is used to show the mathematical values of numbers.

304001 in expanded form is 300,000 + 4,000 + 1.

There are 3 hundred thousands, 4 thousands, and one one.

5 0
3 years ago
Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
Tanya [424]

Answer:


Step-by-step explanation:

if you are going in a negative direction or by a decimal you are contracting, so the image would get smaller. If you are going in a positive direction(has to be a whole number as well) you have an expansion.

5 0
3 years ago
Find the slope and the equation for the line passing through the (-3,2 ) point with x-intercept at x=-4. and how do I find the e
WINSTONCH [101]
Well, the x-intercept is at -4, that means, the graph touches the x-axis at -4, or when x = -4, what's the value of "y" when that happens?  well, if the graph touches the x-axis, the y-value has gone all the way down to 0, and thus y = 0, therefore the point at that x-intercept is ( -4, 0 )

so, what's the equation of a line that passes through (-3,2) and (-4,0)?

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ -3}}\quad ,&{{ 2}})\quad 
%   (c,d)
&({{ -4}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-4-(-3)}\implies \cfrac{0-2}{-4+3}
\\\\\\
\cfrac{-2}{-1}\implies 2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-2=2[x-(-3)]
\\\\\\
y-2=2(x+3)\implies y-2=2x+6\implies y=2x+8
3 0
4 years ago
You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a
svetoff [14.1K]

Answer:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

ME = 50 margin of error desired

\sigma = 1000 the standard deviation for this case

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is \alpha=0.01. And for this case would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0
3 years ago
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