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Harrizon [31]
3 years ago
15

A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and l

arge tables that seats 10 people Let x represent the number of small tables and y represents the number of large tables write an equation to represent the relationship between x and y
Mathematics
1 answer:
nevsk [136]3 years ago
7 0

For the small tables, it will be 6X, because since they fit 6 people, you will need to multiply 6 times the amount of tables(which is X), then for the larger table, it will be 10Y, because since they fit 10 people, you will multiply 10 times the amount of tables (which is Y).

This leaves you with 6X+10Y

If they are expecting AT LEAST 150, then the equation needs to be set to greater than or equal to 150, but if they are expecting exactly 150, no more no less, then the equation will be set equal to 150.

Therefore it is either:

A: 6X+10Y>or=150

B:6X+10Y=150


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Answer: C

Step-by-step explanation: your fast answer is C.

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3 years ago
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Mrsjones has 1 4/8 pizza left after giving some to Greg she had 7/8 left how much did Greg take
Bezzdna [24]

Answer:

5/8

Step-by-step explanation:

well we 1 14/8 so lets turn that to a whole number which is 12/8 (you multiply the denominator by 1 and add the 4)

12/8 - 7/8 =  5/8    ( since both denominators are the same numbers you can simply subtract the numerator )

7 0
3 years ago
3^2 - 17x - 28<br> Thank you
V125BC [204]
Simplfy then combine like terms so the anwser Simplified and Evaluated is -17x-19
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3 years ago
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PLEASE HELP!! Dee bought 6 dolls and 2 toy trains for $55. At the same prices, Joy bought 4 dolls and 7 toy trains for $65. What
GuDViN [60]

Answer:

The cost of 1 doll   =  $ 7.5

and The  Cost of 1 toy train =   $ 5

Step-by-step explanation:

Let the price of 1 doll  = $ x

The price of  1 toy train  = $ y

Now, according to the question:

6 x + 2 y  = $ 55

and  4 x   + 7 y = $ 65

Solving the given system of equation,

From (1), we get

x= \frac{55 - 2y}{6}

4 ({\frac{55 - 2y}{6}} )  + 7y = 65

or, solving for y , we get

110y - 4y + 21 y = 195

or, 17 y = 85

⇒ y= 85/17 = 5

This implies :  6 x + 2 (5)   =55

or, 6x = 55 - 10 = 45

or, x =  45/ 6 = 15/2

Hence, the cost of 1 doll  = x = $ 7.5

and the Cost of 1 toy train =  y = $ 5

5 0
3 years ago
Help !! Please I can’t find the answer
SVETLANKA909090 [29]

Answer:

\large\boxed{r^2=(x+5)^2+(y-4)^2}

Step-by-step explanation:

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

<em>(h, k)</em><em> - center</em>

<em>r</em><em> - radius</em>

<em />

We have diameter endpoints.

Half the length of the diameter is the length of the radius.

The center of the diameter is the center of the circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}

The radius:

r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

Substitute:

x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4

(-5,\ 4)\to h=-5,\ k=4

Finally:

(x-(-5))^2+(y-4)^2=\left(\dfrac{\sqrt{52}}{2}\right)^2\\\\(x+5)^2+(y-4)^2=\dfrac{52}{4}\\\\(x+5)^2+(y-4)^2=13

5 0
3 years ago
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