The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual 4th of July parade. Carl bought 4 hot dogs and 6 drinks and paid $23.80. Susan purchased 4 hot dogs and 2 drinks and was charged $15.40. What is the cost of 1 hot dog and what is the cost of 1 drink?

Answer:

the answer is

a=49

b=10

c=105

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

Answer:

-2y + 30

Step-by-step explanation:

3(y+5)-5(y-3)

Distribute

3y+15 -5y +15

Combine like terms

-2y + 30

Answer:

you substitute 4x=34

Step-by-step explanation:

Answer:

1 is in the tens and 7 is in the hundredths place.

Step-by-step explanation:

14.67

1 is tens place

4 is ones place

then the . decimal

6 is the tenths place and 7 is the hundredths place

Answer:

When x = -3  y = -1

When x = -3/4  y = 7/2

Step-by-step explanation:

y = 4x^2 + 17x + 14

y = 2x + 5​

Set each equation equal to each other

4x^2 + 17x + 14  = 2x + 5​

Subtract 2x from each side

4x^2 + 17x-2x + 14  = 2x-2x + 5​

4x^2 + 15x + 14  =  5​

Subtract 5 from each side

4x^2 + 15x + 14-5  =  5​-5

4x^2 + 15x +9  = 0

Factor

(4x+3) ( x+3) =0

Using the zero product property

4x+3 =0    x+3 =0

4x = -3      x=-3

x = -3/4     x=-3

Now we need to find y for each x

x =-3   y = 2x+5  =2(-3)+5 = -6+5 = -1  

When x = -3  y = -1

x = -3/4   y = 2(-3/4) +5 = -3/2 +5 = 7/2

When x = -3/4  y = 7/2

Answer:

5

Step-by-step explanation:

Given that:

Weight of package delivered = 100 - 120 pounds

Number of packages carried per trip is atleast 10 = ≥ 10

Total weight of packages must be at most 1,100 ≤1,100

The maximum number of 120 pound packages the helicopter can carry:

Maximum capacity = 1100 pounds

Number of packages ≥ 10

Let number of 110 packages carried = x

Number of 120 packages carried = y

x + y ≥ 10 - - (1)

100x + 120y ≤ 1100 - - - (2)

From (1): x ≥ 10 - y

100(10 - y) + 120y ≤ 1100

1000 - 100y + 120y ≤ 1100

1000 + 20y ≤ 1100

20y ≤ 1100 - 1000

20y ≤ 100

y = 5

y = number of 120 pound packages carried

y = 5

Answer:

5

Step-by-step explanation:

Let

x = number of 100 pound packages

y = number of 120 pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

x + y ≥ 10

x ≥ 10 - y

Total weight of the packages the helicopter can deliver can be at most 1,100 pounds

100x + 120y ≤ 1100

Divide through by 20

5x + 6y ≤ 55

Substitute x ≥ 10 - y into the equation

5(10 - y ) + 6y ≤ 55

50 - 5y + 6y ≤ 55

y ≤ 55 - 50

y ≤ 5

Therefore, the maximum number of 120 pound packages helicopter can carry is 5.

Given:

The amount of fuel remaining in a gas grill is a function of the number of hours.

[tex]F(h)=100-2h[/tex]

To find:

The domain for this situation.

Solution:

Domain is the set of input values.

The amount of fuel remaining in a gas grill F(h) is

[tex]F(h)=100-2h[/tex]

where, h is the number of hours.

Here, domain is the set of all possible values of h.

We know that, time and remaining fuel cannot be negative. So,

[tex]h\geq 0[/tex]      ...(i)

[tex]F(h)\geq 0[/tex]

[tex]100-2h\geq 0[/tex]

[tex]100\geq 2h[/tex]

[tex]50\geq h[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]0\leq h\leq 50[/tex]

Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].

Answer:

uhm well I'm not sure what you mean by algorithm but just think it like this :

Step-by-step explanation:

think of 1/4 as a quarter and it says the negative

so -.25

Answer:

900

Step-by-step explanation:

From the information given you can write the following equations:

x+y+z=8500 (1)

5x+6y+8.50z=64600 (2)

y=2x (3)

First, you can replace (3) in (2) and (1):

x+2x+z=8500

3x+z= 8500 (4)

5x+6(2x)+8.50z=64600

5x+12x+8.50z=64600

17x+8.50z=64600 (5)

Now, you have two equations:

3x+z= 8500 (4)

17x+8.50z=64600 (5)

Then, you can isolate z in (4):

z=8500-3x (6)

Next, you can replace (6) in (5):

17x+8.50(8500-3x)=64600

17x+72250-25.5x=64600

7650=8.5x

x=7650/8.5

x=900

You can replace the value of x in (3) to find y:

y=2x

y=2*900

y=1800

Finally, you can replace the value of x in (6) to find z:

z=8500-3(900)

z=8500-2700

z=5800

According to this, the answer is that 900 matinee tickets were sold.

Answer:

This answer is option 1

Step-by-step explanation:

The awnser is No slope,x=-5,A slope of 0,and y=-5

Answer:

x = 23

Step-by-step explanation:

Alternate exterior angles are congruent if a and b are parallel

2x + 20 = 66

2x = 46

x = 23

Hope this helped!

Answer:

8 in

Step-by-step explanation:

Step 1: Define

A = 56

b = 7

A = bh

Step 2: Find h

h = A/b

h = 56/7

h = 8

Answer:

h= 8 inches

Step-by-step explanation:

A= bh;  b= 7 inches;    Area= 56 inches squared

56= 7h

56/7 = 7h/7

h= 8 inches

hope this helps!

Answer:

30 miles per hour.

Step-by-step explanation:

Answer:

The speed of the object is 30 miles per hour.

Step-by-step explanation:

210÷7=30

Could I please have BRAINLIEST?

Answer and Step-by-step explanation:

Samantha's recipe has:

3 parts cranapple juice

2 parts lemonade

In total, this recipe has:

t = 3 + 2

t = 5

ratio = [tex]\frac{2}{5}[/tex]

Caden's recipe has

4 parts cranapple juice

3 parts lemonade

In total:

t = 4 + 3

t = 7

ratio = [tex]\frac{3}{7}[/tex]

The punch with stronger lemon taste will be the one whose recipe have a bigger proportion of lemon.

For Samantha's recipe, the proportion is 2 ÷ 5 = 0.4

For Caden's, 3 ÷ 7 = 0.43

Caden's punch will have a slightly stronger taste of lemon, because its proportion is slightly higher than Samantha's.

Answer:

X= 10°

Step-by-step explanation:

Those two angles equal the same, knowing this we make them equal each other to solve them in an equation.

6x+34=8x+14

Then you solve, add the x's together, and the numbers together.

34-14=8x-6x

20=2x

Then you divide to find X

20/2= 10°

X= 10°

Step-by-step explanation:

6x+34=8x+14

34-14=8x-6x

2x=20

x=20/2

x=10

Answer:

[tex]x (-1,7)[/tex]

Step-by-step explanation:

We need to square a binomial.

The following rule is applied:

[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]

In our example,

[tex]A^2+2AB+B^2=(A+B)^2[/tex]

   A is equal to 5x,

    B is equal to -19 and

   N is equal to 2.

[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]

Answer: a distribution with a known shape and other properties.

Step-by-step explanation: 10 dice rolled 1000 times

Answer:is below

Step-by-step explanation:

10 dice rolled 100 times

Answer:

21 quizzes

Step-by-step explanation:

Divide 15 by 5 to know how many 5 minutes are in 15 minutes.

[tex]15 \div 5 = 3[/tex]

5 minutes are spent for 7 quizzes.

5 × 3 minutes are spent for 7 × 3 quizzes.

[tex]7 \times 3 = 21[/tex]

Mrs. Miklos can grade 21 quizzes in 15 minutes.

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

Answer: The points C(1,2) and E(2,2) make both inequalities true

Step-by-step explanation:

we have

-----> inequality A

The solution of the inequality A is the shaded area below the dashed line

------> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution

Plot the points and verify if lie on the shaded area

Let

see the attached figure

The points C(1,2) and E(2,2) lie on the shaded area

The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A

The point D(2,-1) satisfy inequality A but don't satisfy inequality B

therefore

The points C(1,2) and E(2,2) make both inequalities true

A family travels to Bryce Canyon for three days. On the first day, they drove 140  miles. On the second day, they drove 200 miles. What is the least number of miles  they drove on the third day if their average number of miles per day was at least  180?

To find the average number of something, you would take all of the numbers you want to find the average of, add them together, and divide by the total number of items you added up.

For example: in this question, you have 140 miles, 200 miles, and x miles (the amount of miles they drove on the third day).

You would add all of these miles together and divide by 3, since you added 3 numbers together. This would equal the average.

Finding the average:  

Create an equation where all of the miles they drove are added together, divide this expression by 3, and set this greater than or equal to 180 (since they drove at least 180 miles on average).

Solve for x to find the least number of miles they drove on the third day. Multiply both sides by 3.

Combine like terms on the left side of the equation.

Subtract 340 from both sides of the equation.

The least number of miles the family drove on the third day was 200 miles, since x can't be anything less than 200.

Answer:

a) Scientific notation is written as a unit digit, that can have other digits after the decimal place, multiplied by 10 to the power of n, where n can be any integer number.

Then 25x10^0 is not scientific notation, because there are two digits at the left of the decimal point.

The scientific notation would be:

2.5x10^1

b) Why is this useful?

Because we divide all our measures in powers of 10.

For example, you know that 1 meter  = 100c

But we can also write this as:

1m = 1.0*10^3 cm.

The use of scientific notation comes useful because we can have a fast read of the dimensions of our measure, and in another hand, is way easier work with the 10 as a base when we solve equations.

Answer: On Monday, Heather had 32 hats.

Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.

Answer:

22.22222222

Step-by-step explanation:

Answer:

the race is 22 miles long.

Step-by-step explanation:

p         %

~~  =  ~~

w        100