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crimeas [40]
1 year ago
13

Stella buys 6 tacos and 4 enchiladas for 52 dollars. Eliana buys 7 tacos and 9 enchilladas for 78 dollars.

Mathematics
1 answer:
Firdavs [7]1 year ago
5 0

Answer:

Let tacos be x and enchiladas be y

6 tacos + 4 enchiladas = 52

becomes

6x+4y=52

^^that's our first equation

Now, the second equation

7 tacos + 9 enchiladas = 78

7x+9y = 78

^^^that's our second equation

Isolate y in the first equation:

6x+4y=52

4y=52-6x

y = (52-6x)/4

^^^Let's call this equation 3

Now, sub-in equation 3 into equation 2

*replace the y*

Equation 2: 7x+9y = 78

Sub-in

7x+ <u>9 ( (52-6x)/4)</u> = 78

Do some algebra (get your x terms on one side) and you will find your x value

7x + <u>117 - 13.5x</u> = 78

(7x-13.5x) = 78-117 *get your x terms on one side

x=6

That's the cost of one taco.

Now, find y. Pick an equation (1,2 or 3). Let's pick 3 since y is already isolated.

All you do is plug in your x value.

Equation 3: y = (52-6x)/4

y= (52 -6(6))/4

...

You should be able to solve this on your own

Step-by-step explanation:

:)) You can solve for y now

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34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1
bixtya [17]

Answer:

The monthly payment is $35.10.

Step-by-step explanation:

p = 510

r = 13.9/12/100=0.011583

n = 12+4=16

The EMI formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

Now putting the values in formula we get;

\frac{510\times0.011583\times(1+0.011583)^{16} }{(1+0.011583)^{16}-1 }

=> \frac{510\times0.011583\times(1.011583)^{16} }{(1.011583)^{16}-1 }

= $35.10

Therefore, the monthly payment is $35.10.

8 0
3 years ago
You are going to roll two dice. Let the variable x = the sum of the numbers rolled. What is the probability that x = 9 ?
Vladimir79 [104]

The  first cube can land in any one of  6  ways.
The  second cube can land in any one of  6  ways.
Total number of ways that  2 dice can land = (6 x 6) = 36 ways.

For any of these ways, the sum of the numbers rolled is  9 :

3, 6
4, 5
5, 4
6, 3

There are  4  ways to roll a 9, out of a total of  36  ways that
the dice can land.  So the probability of rolling a  9  is

       4 / 36  =  1 / 9  =  <em>11-1/9 percent</em>


7 0
2 years ago
The difference between the prediction interval and the confidence interval is that A. the prediction interval is narrower than t
Kitty [74]

Answer:

<em>The prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>

Step-by-step explanation:

<em>A</em><em>. the prediction interval is narrower than the confidence interval.</em>

the prediction interval is always wider than the confidence interval.

<em>B</em><em>. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y.</em>

False

<em>C</em><em>. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>

<em>True</em>

<em>D.</em><em> the confidence interval is wider than the prediction interval.</em>

the prediction interval is  wider

8 0
3 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
PtichkaEL [24]
Answer: The answer is A

Step-by-step explanation: 4c+6a<120 and 4c+4a<100
7 0
2 years ago
Expanded -8(-2x-5)<br> please give answer
nika2105 [10]

Answer:

-80

Step-by-step explanation:

We have to do the parentheses first because it's part of PEDMAS.

-2x-5= 10

Next, we take 10 times -8

-8 x 10= -80

There you go! Hope this helps!

8 0
2 years ago
Read 2 more answers
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