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3 years ago

3. Connor works part-time at Tom Thumb. On Wednesday, Thursday and Friday, he

Mathematics

2 answers:

exis [7]3 years ago

8 0

Wednesday he made 29
Thursday he made 22
Friday he made 34

erik [133]3 years ago

3 0

Wednesday he made $29
Thursday he made $22
Friday he made $34

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Q is directly proportional to r.<br> Q is 76 when r is 20.<br> Work out q when r is 45

r-ruslan [8.4K]

Answer:

171

Step-by-step explanation:

Q~r

find k (k is the constant)

Q=kr

76=k×20

76=20k divide 20 on both sides giving you

k=3.8

then Q=k×r

Q=3.8×45

Q=171

3 0

3 years ago

Please help now<br> Pic below

olga nikolaevna [1]

D represents where the market will be located and how far from each point

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1 year ago

Find the solution of the following system of equations -5+2y=9 3x+5y=7

Rudiy27

Answer:

$x=-\frac{28}{3}\\\\y=7$

Step-by-step explanation:

Given the system of equations:

$\left \{ {{-5+2y=9} \atop {3x+5y=7}} \right.$

You can pply Substitution method:

First you must solve for "y" from the first equation:

$-5+2y=9\\\\2y=9+5\\\\2y=14\\\\y=\frac{14}{2}\\\\y=7$

Therefore, the second and final step to solve the system of equations is to substitute the value of "y" into the second equation and solve for "x":

$3x+5(7)=7\\3x=7-35\\\\x=-\frac{28}{3}$

5 0

3 years ago

1. A catering company’s recipe for salad uses a ratio of 2 c of dressing to 4 lb of vegetables. (a) Draw a model for the ratio.

IRISSAK [1]

1. ratio = 2 c of dressing / 4 lb of vegetables

Use two variables: d for the number of c of dressing and v for the number of pounds of vegetables.

Then d / v = 2/4 = 1/2 => d = v/2

Now you can make a table

v d

2 1

4 2

6 3

8 2

And you can draw a line for the points (2,1); (4,2); (6,3), (8,4) ... the slope of the graph is the ratio = 1/2

b) I already did it above as part ot the explanation: d/v = 1/2

3 0

3 years ago

X²+Y²=250 and XY=117<br> What are the values of X and Y?

yan [13]

Answer:

Step-by-step explanation:

$x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}$

$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$

6 0

3 years ago