A burrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds of beans that people requested. consider the following events: a. the burrito is a chicken burrito. b. the burrito is a carne asada burrito. c. the customer requested black beans. d. the customer requested pinto beans. a 6-column table has 4 rows. the first column has entries black beans, pinto beans, no beans, total. the second column is labeled fish with entries 2, 10, 36, 48. the third column is labeled carne asada with entries 5, 24, 51, 80. the fourth column is labeled vegetarian with entries 1, 8, 20, 29. the fifth column is labeled total with entries 45, 72, 123, 240. which two events are independent? a and c a and d b and c b and d

Answer:

B

Step-by-step explanation:

We know that 351 loaves were baked in six hours and 15 minutes.

First, let's convert the time to minutes. 6 hours is 360 minutes, so 6 hours and 15 minutes is 360 + 15 = 375 minutes.

Therefore, we can write the following ratio:

[tex]\frac{351\text{ loaves}}{375\text{ minutes}}[/tex]

We want to estimate how many loaves were baked in one hour or 60 minutes. So, we can write the following proportion:

[tex]\frac{351\text{ loaves}}{375\text{ minutes}}=\frac{x\text{ loaves}}{60\text{ minutes}}[/tex]

Note that the loaves and time align horizontally, while the rates align vertically.

Since we're estimating, let's change 351 to 350 (I'm also going to remove the words, since they're not necessary). So:

[tex]\frac{350}{375}=\frac{x}{60}[/tex]

We can reduce the left by dividing by 25. This yields:

[tex]\frac{14}{15}=\frac{x}{60}[/tex]

Cross multiply:

[tex]15x=60(14)[/tex]

Multiply and solve for x. So:

[tex]15x=840\\\Rightarrow x=56\approx55\text{ loaves}[/tex]

Therefore, approximately 55 loaves were baked in one hour.

So, our answer is B.

And we're done!

Answer:

Step-by-step explanation:

given

351 loaves baked in 6 hrs and 15 min.

15 min x (1 hr / 60 min) = 0.25 hr

find:

Estimate how many loaves were baked in one hour.

its a ratio and proportion:

351 loaves  =    x loaves       ( just cross multiply)

 6.25 hr               1 hr.

x loaves = 351 loaves ( 1 hr.)  

                        6.25 hr.

               = 56 ------->>> say 55

Answer:

2/35

Step-by-step explanation:

1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5

Hope that this helps!

Question:

a. Graph the equation.

b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.

Answer:

See attachment for graph

12 long-sleeved shirts

Step-by-step explanation:

Given

[tex]10x + 12y = 300[/tex]

Plotting the graph:

Set x = 0

[tex]10(0) + 12y = 300[/tex]

[tex]12y = 300[/tex]

[tex]y = 300/12[/tex] --- divide through by 12

[tex]y = 25[/tex]

Set x = 0

[tex]10x + 12(0) = 300[/tex]

[tex]10x = 300[/tex]

[tex]x = 300/10[/tex] --- divide through by 10

[tex]x = 30[/tex]

So, the graph will be plotted using: (0, 25) and (30, 0)

See attachment for graph

Determine y when x = 12

[tex]10x + 12y = 300[/tex]

[tex]10(12) + 12y = 300[/tex]

[tex]120 +12y = 300[/tex]

[tex]12y = 300 - 120[/tex] --- collect like terms

[tex]12y = 180[/tex]

[tex]y = 180/12[/tex] -- solve for y

[tex]y = 15[/tex]

Answer:

a and b must be positive integers

Step-by-step explanation:

for example- a= (+1)x(+2)

                       = (+2)

                       = (+2)>0

                       = axb>0

Thank U

Answer:

the answer would have to be -7

Answer:

She should use 1.875 cups of sugar

Step-by-step explanation:

Find the ratio by cross multiplying

Answer:

I think it is 0.3

Step-by-step explanation:

Because, 3/4 divided by 2.5= 0.3

Answer:

$42.50

Step-by-step explanation:

3 + 5.5 per day = 8.5

8.5 x 5 days per week = $42.50 per week (mon-fri)

Answer:

One solution

Step-by-step explanation:

X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number

Answer:

25%

Step-by-step explanation:

Answer:

-6 , 8 , 10 , 15

Negatives are less than positives so they're first

Answer:

416 I believe.

Step-by-step explanation:

add 7 to 149

divide 156 by 3 to get 1/8 of total.

Get 52 and then multiply by 8 to get 416

Answer:

119.434783

Step-by-step explanation:

Long division.

Answer:

-10, -1, 5

To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.

x+10=0

Subtract 10 from each side

x=-10

x-5=0

Add 5 to both sides

x=5

x+1=0

Subtract 1 from both sides

x=-1

Answer:

7x+11x=90

18x=90

x=5

one angle = 35 degrees

another angle = 55 degrees

Step-by-step explanation:

Answer: ≈20,400

Explanation:

Theoretically, you'd bring 509 up to 510 and 36 up to 40.

510 x 40= 20,400

Sorry if I'm wrong ^^

Answer: distance: 160 kilometres

travel time:100

Step-by-step explanation:

Answer:

94 days 9400 distance

Step-by-step explanation:

Divide the corresponding sides

3/6 = 0.5

5/4 = 1.25

6/8 = 0.75

We get different results, so the sides are not in the same ratio or proportion.

Answer:

c

Step-by-step explanation:

Here's an example: 3/5 divided by 7/8.

   3/5

  _____

   7/8

Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:

   3/5      1       3/5      3/5

  _____ * _____ = _______ = ______ = 3/5

   7/8     8/7     56/56      1

Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.

For comparison, here's the RIGHT way:

   3/5     8/7     24/35     24/35

  _____ * _____ = _______ = _______ = 24/35

   7/8     8/7     56/56       1

In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.

Answer:

<a=61 m<c and m<b=90

Step-by-step explanation:

Answer:

trigonometry: a^2+b^2=c^2

7= slant

4= half of base (8/2)

[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]

[tex] \sqrt{65} = 8.06[/tex]

he is 6.5 so yeah he can fit

Answer:

This equation is a tautology (Something which is always true)

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

c.2548KW

Step-by-step explanation:

The correct reading of the meter is;

First meter,---2000

Second meter----500

Third meter ------40

Fourth meter -------8

Total 2000+500+40+8 = 2548 kilo watts.

The answer option A,B, and D are not correct because the answers have incorrect meter reading values.

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Now mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]