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DochEvi [55]
3 years ago
5

At a high school football game Jamie buys 6 hot dogs and 4 soft drinks for $13. Amy buys 3 hot dogs and 4 soft drinks for $8.50.

What is the price of a hot dog?
Mathematics
2 answers:
attashe74 [19]3 years ago
6 0

A hot dog is $1.50 by using

 6x+4y=13

-3x+4y=8.50

velikii [3]3 years ago
5 0
X=price of a hot dogy=price of a soft drinkWe can suggest the following system of equations:
6x+4y=133x+4y=8.50
We solve this system of equations by reduction method.  6x+4y=13-(3x+4y=8.5)------------------------   3x=4.5              ⇒x=4.5/3=1.5
Answer: the price of a hot dog will be $1.5.

If you want to know the price of a soft drink, you have to find "y".6x+4y=13
6(1.5)+4y=139+4y=134y=13-94y=4y=4/4y=1
The price of a soft drink is $1. 
Hope this helps! :)
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Answer:

The probability that 12 people in your sample are carrying no cash is 0.0712

Step-by-step explanation:

n = 100

p(no cash) = 0.09

x = 12

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P(x,n) = nCx*px*(1-p)(n-x)

P(x = 12) = 0.074.

The probability that 12 people in your sample are carrying no cash is 0.074.

n = 100

p(less than 50) = 0.78

x = 75

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 75) = 0.0712

The probability that 12 people in your sample are carrying no cash is 0.0712

6 0
3 years ago
Calculate the value of x in the equation 2x - 15 =5 - 3×
pshichka [43]

\bold{2x - 15 = 5 - 3x} \\  \bold{2x + 3x = 15  +  5} \\  \bold{5x =20 } \\  \bold{x =  \cancel{ \frac {20}{5} }} \\  \bold{x = 4}

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3 0
1 year ago
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What is the average rate of change for 5/6 and 15/14
andreev551 [17]

Answer:

Average rate of change is <u>0.80.</u>

Step-by-step explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points (x_1,y_1)\ and\ (x_2,y_2) is given as:

R=\frac{y_2-y_1}{x_2-x_1}

Plug in x_1=5,x_2=15,y_1=6,y_2=14 and solve for 'R'. This gives,

R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.

5 0
3 years ago
Erica solved the equation -5x - 25 = 78; her work is shown below. Identify the error and were it was made
Nata [24]

Answer:

A

Step-by-step explanation:

It's A because she subtracted a negative and that only make a bigger negative where she should have added

7 0
2 years ago
Find the slope x intercept and y intercept of the line y equals 2x + 1​
Ad libitum [116K]

(i) Slope is m=2

(ii) x - intercept is \left(-\frac{1}{2}, 0\right)

(ii) y - intercept is (0,1)

Explanation:

The given equation is y=2x+1

We need to determine the slope, x - intercept and the y - intercept

(i) Let us determine the slope of the equation.

Since, the equation is of the form y=mx+b where m is the slope

Thus, comparing the equation y=2x+1 with the general form y=mx+b, the slope is 2.

Thus, slope is m=2

(ii) Now, we shall determine the x - intercepts.

The x - intercept can be determined by substituting y=0 in y=2x+1

Thus, we have,

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Thus, the x - intercept is \left(-\frac{1}{2}, 0\right)

(iii) The y - intercept can be determined by substituting x=0 in y=2x+1

Thus, we get,

y=2(0)+1

y=0+1

y=1

Thus, the y - intercept is (0,1)

6 0
3 years ago
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