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Let C be the number that Mrs Collins was supposed to bake and 

let F be the number that Mrs Franklin was supposed to bake.

F+C = 280   (1)

(1  +  1/5)C   +  (1 + 3/20)F = 328    (2)

now simplify and solve them simultaneously.

There is no question.

1.5 kg - 1/3 ( 1.5 kg) = 1.0 kg

1 kg = 1000 gm

1000gm / 20 pretzels = 50 gm/pretzel

Thanks for the ans

x = pages in the book

read 1/5 x       then     4/5 x   pages are left

read 36 pages     then    4/5 x -36   pages are left

read 5/8ths of what is left   leaves 3/8 ths of what is left :    3/8 (4/5 x -36)   pages left     and this equals  24 pages

3/8 ( 4/5x - 36) = 24

12/40 x -  13.5 = 24

x = 125  pages

4) Vertical reflection and a vertical dilation - vertical stretch - scale factor = 3

Do not know what you are looking for here....

   U  is not the intersection of  A and B

   U is not the union of A and B     ( U   has a '7' in it, but neither A or B do)

Thank you so much.

THANK YOU!! <33

If the stone strikes the water 2.5 m in front of the bow of the boat at what speed is the boat traveling?

Hello Guest!

\(s_{boat}=2.7m-2.5m=0.2m\)

\(t=\dfrac{s_{boat}}{v_{boat}}=\dfrac{0.2m}{v_{boat}}\)

freefall

\(h=\dfrac{g}{2}t^2\\ t=\sqrt{\dfrac{2h}{g}}=\sqrt{\dfrac{2\cdot 20m}{9.81\dfrac{m}{s^2}}}=2.02\ s\)

\(\dfrac{0.2m}{v_{boat}}=2.02\ s\\ v_{boat}= \dfrac{0.2m}{2.02s}\)

\(v_{boat}=0.099m/s\)

The boat travels at a speed of 0.099 m / s.

  !

What real value  produces the smallest value of the quadratic t^2 - 9t - 36 + t^2 - t + 4?

Hello Guest!

\(f(t)=t^2 - 9t - 36 + t^2 - t + 4\\ f(t)=2t^2-10t-32\\ \frac{df(t)}{dt}=4t-10=0\)

\(t=2.5\)

The value t = 2.5 gives the smallest value of the square t ^ 2 - 9t - 36 + t ^ 2 - t + 4, namely - 44.5.

  !

Your question doesn't make sense. 

3/8 of a triangle is shaded.

This is very simple.

Δ ABC ~ Δ ACD

3 / 6 = 6 / BD

BD = 12

AB = √225

9 - biology

5 - chemistry

7 - ONLY biology

3 - ONLY chemistry

2 - BOTH: biology and chemistry

**** edit ***

-2.2(x-5)a + (x-11)a = -2.2(7.80)  +  (9.00)        Answer was correct but omitted the ' + ' sign....

[ABC] = 25

$12-(9-2)+2=7$

$\frac{\binom{10}{2}}{\binom{20}{2}} \cdot \frac{\binom{10}{2}}{\binom{18}{2}}$

Feel like this is wrong ..

How many candies must Peter give to Xayden so that they will have the same number of candies?

Hello Guest!

\(x-\frac{2}{5}x+156=p\\ x-\frac{3}{4}x+240=p\\ x-\frac{2}{5}x+156=x-\frac{3}{4}x+240\\ \frac{3}{4}x-\frac{2}{5}x=240-156\\ \frac{7}{20}x=84\)

\(x=240\)

\(p=x-\frac{3}{4}x+240\\ p=240-\frac{3\cdot 240}{4}+240\)

\(p=300\)

\(\frac{300-240}{2}=\color{blue}30\)

30 candies must Peter give to Xayden so that they will have the same number of candies.

  !

\(t_n=14+(n-1)*4 \)

you can simplify it

\(0.\overline{123}+\\ 0.\overline{345}\\~\\ 0.\overline{468} \)

4+6+8=?

Did you forget 0. ?  and what are the brackets for?

0.\overline{23}

\(0.\overline{23}\)

\(0.\overline{42}=\frac{42}{99}\)

you can finish it.