6:

sashaice [31]

The simplified expression should be 3/7

3 0

3 years ago

The total number of? restaurant-purchased meals that the average person will eat in a? restaurant, in a? car, or at home in a ye

zmey [24]

Answer:

The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is $x$ , in a car is $y$ and at home is $z$

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

$x+y+z=163 .............................(1)$

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

$y+z=x+13 ................................(2)$

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

$x= z+20..................................(3)$

First, substituting equation (2) into equation (1), we will get........

$x+(x+13)=163\\ \\ \Rightarrow 2x+13=163\\ \\ \Rightarrow 2x=163-13=150\\ \\ \Rightarrow x=\frac{150}{2}=75$

Now plugging this $x=75$ into equation (3), we will get......

$75=z+20\\ \\ \Rightarrow z=75-20= 55$

Plugging $x=75$ and $z=55$ into equation (1) .........

$75+y+55=163\\ \\ \Rightarrow y+130=163\\ \\ \Rightarrow y=163-130=33$

So, the number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

8 0

3 years ago

An urn contains 10 marbles: 4 red, 3 white, 2 blue, and 1 orange. (4 points) (a) What is the probability of drawing a marble tha

photoshop1234 [79]

Answer:

a) 0.70

b) 0.30

c) 12/45 =4/15

d) 2/45

Step-by-step explanation:

a) Prob of drawing a marble red or white = No of red and white marbles/total marbles

= 7/10 = 0.70

b) Prob of drawing a marble neither red nor white = 1-7/10 = 0.30

c) Prob of drawing two marble one red and one white at the same time

= $\frac{4C1 (3C1}{10C2 } =\frac{12}{45}$

d) Prob of drawing two marble one blue and orange white at the same time

= $\frac{2C1 (1C1}{10C2 } =\frac{2}{45}$

7 0

3 years ago

Please answer! it's more complicated than it looks!

kifflom [539]

Answer:

1. 360

2. Yes because in a regular hexagon all angles are congruent so the exterior angles are as well

3. (i) 60 (ii) 120

4.

(i) 1. 360 2. Yes because in a regular octagon all angles are congruent so the exterior angles are as well 3. (i) 45 (ii) 135

(ii) 1. 360 2. Yes because in a regular 20-gon all angles are congruent so the exterior angles are as well 3. (i) 18 (ii) 162

Step-by-step explanation:

Works for each polygon

1. First take the number of sides and subtract it by 2 then multibly that by 180

6-2=4x180=720

Then divide by the number of angles and subrtact that number by 180 to find the measure of one exterior angle

720/6=120

180-120=60

Then multiply by the number of exterior angles

60x6=360

2. Regular polygons always have equal angles so the exterior angles are as well

3. Put in your numbers from earlier

(i) 60 (ii)120

Hope this helps! :)

P.S. Feel free to mark brainliest :)

6 0

3 years ago

You want to have $35,000 in cash to buy a car 4 years from today. you expect to earn 8 percent, compounded annually, on your sav

Anna007 [38]

You will need to use this formula:
Principal = Total ÷ (1 + Rate) ^ years
Principal = 35,000 / [1.08]^4
Principal = 35,000 / 1.36048896 
Principal = 25,726.04 
So, you would have to deposit $25,762.04 @ 8 per cent to have 35,000 in four years.

7 0

3 years ago

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