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3 years ago

At the fair, 2 corn dogs and 3 pretzels cost $13, and 5 corn dogs and 6 pretzels costs $28. How much

1 answer:

5 0

Let x represent the cost of corn dogs. Let y represent the cost of pretzels.

2x+3y=13
5x+6y=28

Multiply the first equation by two so that we can eliminate y.

Subtract:
4x+6y=26
5x+6y=28

-x=-2
x=2

4(2)+6y=26
8+6y=26
6y=18
y=3

3 x 2 = 6
6+2=8

Therefore, 2 pretzels and a corn dog would cost $8.

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A parallelogram with the sides of 6 and 10 has a area of 30 square root of 2. Find the measure of each angle of the parallelogra

Vinvika [58]

$a=10,b=6,A=30 \sqrt{2} 
\\
\\A=ah_a=ab\sin\theta
\\30 \sqrt{2} =10\times6\times\sin\theta
\\
\\ \sin\theta= \frac{ \sqrt{2} }{2} 
\\
\\ \theta=45^o
\\ \theta_1=180^o -\theta=180^o-45^o=135^o$

7 0

3 years ago

Read 2 more answers

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BaLLatris [955]

Answer: this is difficult

Step-by-step explanation:

6 0

3 years ago

Jia rode her bike 7 7/8 miles in the morning and another 6 5/8 miles in the afternoon. How many miles did she ride altogether

loris [4]

Answer:

14 1/2

Step-by-step explanation:

Rewriting our equation with parts separated

=7 + 7/8 + 6 + 5/8

Solving the whole number parts

7 + 6=13

Solving the fraction parts

7/8 + 5/8= 12/8

Reducing the fraction part, 12/8,

12/8=3/2

Simplifying the fraction part, 3/2,

3/2=1 1/2

Combining the whole and fraction parts

13 + 1 + 12=14 1/2

5 0

3 years ago

Subtract. Write the difference in simplest form. (6p + 3) - (2p + 1)

Sonja [21]

Answer:

4p + 2

Step-by-step explanation:

(6p + 3) - (2p + 1)

Distribute the minus sign

6p +3 -2p -1

4p +2

3 0

3 years ago

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 m

umka2103 [35]

Answer:

a) 0.2347, 0.0007

b) 1.30

c) 0.63

Step-by-step explanation:

Given –

Mean = 73.4

Sigma = 4.7

Probability that the speed is greater than 70 is

P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653

a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347

The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007

b) E (X) = 1/p = 1/0.7653 = 1.30

c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63

5 0

3 years ago