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Mathematics

1 answer:

fomenos3 years ago

5 0

To find out how many Salmon Filet's were served, knowing that 80% of the specials were Salmon Filet, and there were a total of 70 specials in total, we need to find what 80 percent of 70 is. That's because that will lead us to our answer.

Since a percent is something over 100 (per 100), 80% is 80/100 which simplifies to 4/5. That means that we have to multiply 70 by 4/5. 70 * 4/5 is equal to 280/5. Since 280/5 equal 56, there were 56 Salmon Filet's served, or C.

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A square has an area of 49 in.² what is each side of the perimeter

ludmilkaskok [199]

I hope this helps you

square one side a

Area=a.a

49=a.a

7.7=a.a

a=7

Perimeter=4a=4.7=28

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3 years ago

Write 6:15 in ratio form

Rufina [12.5K]

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3 years ago

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first

Katarina [22]

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

3 0

3 years ago

Read 2 more answers

Help me with question a please ! With full workings !

frosja888 [35]

A)

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
P&({{ 0.5}}\quad ,&{{ 0}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

$\bf QP=\sqrt{(0.5-0)^2+(0-2)^2}\implies QP=\sqrt{0.5^2+2^2}
\\\\\\
QP=\sqrt{\left( \frac{1}{2} \right)^2+4}\implies QP=\sqrt{ \frac{1^2}{2^2}+4}\implies QP=\sqrt{\frac{1}{4}+4}
\\\\\\
QP=\sqrt{\frac{17}{4}}\implies QP=\cfrac{\sqrt{17}}{\sqrt{4}}\implies QP=\cfrac{\sqrt{17}}{2}$

b)

since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP

thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)

c)

what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
R&({{ -0.5}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-0.5-0}\implies \cfrac{-2}{-0.5}$

$\bf m=\cfrac{\frac{-2}{1}}{-\frac{1}{2}}\implies \cfrac{-2}{1}\cdot \cfrac{2}{-1}\implies 4
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=4(x-0)\implies y=4x+2\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

To qualify for the long jump competition in track, an athlete must jump a combined distance of more than 16 meters in 3 jumps. J

Kipish [7]

Answer:

Yes.(16.088m combined jump)

Step-by-step explanation:

Combining jumps=4.76+5.428+5.9=16.088

16.088>16

Therefore Juan qualified for the competition

6 0

3 years ago