A Fun Park refreshment stand sells only hotdogs and nachos. Hotdogs cost $2 and nachos
cost $3. Marcus and his friends spent $34 at the refreshment stand. All together, they
ordered a total of 14 items. How many hotdogs and how many nachos did they buy?
Write a system of two linear equations in two variables that can be used to model the
situation. Then choose a method to solve the system. Show your work and check your
answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

h+n=14, n=14-h

2h+3n=34, using n=14-h

2h+3(14-h)=34

2h+42-3h=34

-h+42=34

-h=-8

h=8, and since n=14-h

n=14-8=6 so

They bought 8 hotdogs and 6 nachos.


Related Questions

Right triangle ABC is shown below.

A similar right triangle would be created by a rise of 8 and a run of

Answers

Answer:

a run of 6

Explanation:

AB=4 , AC=3

If you create a rise of 8 you doubled the rise of AB [4x2], so you would double the run of AC as well [3x2] = 6

I think it’s 6 sorry if I’m wrong

Help me please with the last 2 questions!

Answers

Answer:

what grade work is this 8th?

12. Given the equation y = 2x + 4, what would the value of y be when x = 1?

A. 7

B. 1

C. 5

D. 6

Answers

Answer:

D 6

Step-by-step explanation:

substitute in 1 for x

2(1)= 2

2+4= 6

y=6 when x=1

Answer:

C

Step-by-step explanation:

If a = 3y + 4z and b - z - 2y, then what is the value of
a + b

Answers

Answer:

sin (330) csc (60) cos (390)

Step-by-step explanation:

Find the volume of the triangular prism. Please give an explanation if you can!

Answers

Answer:

9x14=126

63x8=1008

1008x.5=504cm

Step-by-step explanation:

Remember the formula for calculating volume is: Volume = Area by height.    V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is:                              V = 0.5 X b X a X h.

Lara and Mae participated in a quiz contest. They scored 23 points in all. If Lara scored 9 points, how many points did Mae score?

Answers

Answer:

14

Step-by-step explanation:

23-9=14 if Lara only scored 9 points, Mae would have had to get the rest so you have to subtract 9 from the total amount of points.

What is the greatest common factor (GCF) of the numerator and denominator
of the rational expression below?
A. ** 6
B. X* 1
C. 6
D. 2.

Answers

The answer is D .. D) 2
the answer is 2 or letter D.

You are hiring counselors for a summer camp. For every 30 campers, you need 4 counselors. You expect to have 180 campers. How many counselors should you hire? (Show your work.) Solve using a double number line.

How many counselors do you need to hire for 90 campers?

How many counselors do you need to hire for 60 campers?

Complete the double number line diagram that represents the situation

b.


a.
c.
d.

Answers

Answer: 60 campers = 8 counselors

90 campers = 12 counselors

180 campers = 24 counselors

Step-by-step explanation: Divide the number of campers by 30 then multiply by 4 because that’s the amount of counselors per 30 campers

I really need help with this question

Answers

Answer:

32

Step-by-step explanation:

180-116=64

64÷2=32

32 because 32+32 is 64 then add that with 116 and you get 180

Please help me...will mark brainiest

Answers

Answer: 1,521

Step-by-step explanation:

39 × 39=1,521

Alex swims 20 minutes per day for exercise. The total
number of minutes m she swims equals 20 times the
number of days d she swims.

What is the independent variable. The Dependent Variable. And the Equation.

Answers

Answer:

e total number of minutes, m.

Step-by-step explanation:

The dependent variable is the variable in which the variable cannot stand by itself.

In this situation, the total number of minutes, m, equal 20 times the number of d.

m = 20d

d, is a variable which can be multiplied which states that it has a value, no matter what. On the other hand, m, requires d, to be there in order to have a value.

The answer is, m, the total number of minutes.

Step-by-step explanation:

5 yd
6 yd
10 yd
2
?
13 yd

Answers

Answer:

5yd= 15 ft

6yd= 18ft

10 yd= 30 ft

2yd=6ft

13yd=39ft

Step-by-step explanation:

100 divided by the sum of 22 and 3 as an expression

Answers

Answer:

Step-by-step explanation:

100 goes into the numerator and (22 + 3) into the denominator:

100

----------- is an expression.

(22 + 3)

This expression can be simplified as follows:

100

------- = 4

 25

Given:-

[tex]\sf \dfrac{100}{(22 + 3)}[/tex]

Solution:-

[tex]: \implies \sf\dfrac{100}{(22 + 3)} \\ \\ \\ : \implies \sf\dfrac{100}{25} \\ \\ \\ : \implies \sf \: 4 \: is \: the \: answer[/tex]

Find the circumference of a circle with a diameter of 13 meters. Use 3.14 as an approximation for 8. Round your answer to the
nearest whole meter. Enter only the number.
The solution is

Answers

Answer:

Step-by-step explanation:

Diameter d = 13 meters

Circumference = πd = 3.14 × 13 = 40.82 meters

Graph this line using the slope and y-intercept:
y=6x+2
Click to select points on the graph.

Answers

Answer:

Step-by-step explanation:

two points: (0,2) and (-1, -4)

(0,2),(-1,4) I think would be the answer to this

Which of the following statements are true?
I. All rectangles are squares.
II. All squares are rectangles.
III. Some quadrilaterals are rectangles.

Answers

Answer: the III

Step-by-step explanation: because rectangles are a type of quadrilaterals

Answer:

The answer is Some quadrilaterals are rectangles.

Step-by-step explanation:

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.

Use the diagram to determine which is the correct net of the given figure. Then, explain why the other nets are not correct--explain what is "wrong" with them.

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

That is the correct one because C has 6 pages, as many has the cuboid has. As we see, the others are different.

A ladder that is 13 feet long leans against a building .The bottom of the ladder is 5 feeet away from the base of the building .how far up the side of the building does the ladder reach?​

Answers

Length of the ladder = 13 m

Foot of the ladder from the wall = 5 m.

The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.

In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.

In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.

In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.

So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.

Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m

wall ^ 2 + ground ^ 2 = 13^2 = 169

w^2 + g^2 = 169

w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12

Rate of change of ground distance = dg / dt = 2m/s (given).

In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.

2 w dw/dt + 2 g dg/dt = 0

2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0

dw/dt = -20 / 24 = -5 / 6

Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)

The minus sign denotes that the height of the ladder is falling.

Step-by-step explanation:

I am just going to ask this question again because I keep getting a scam answer

Answers

Answer:

14.52 seconds

Step-by-step explanation:

Whats the answer ?

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+148x+128
Hope this elf full to you ( thanks) !

Which following figures have a area of 64 square feet? Select three that apply

Answers

Answer:

a,e and b

Step-by-step explanation:

Answer:

A e and b

Step-by-step explanation:

Find the value of the variable(s). If your answer
is not an integer, leave it in simplest radical
form.
12.
x
30°
285
Not drawn to scale
a. x = 14, y = 42-43
b. x= 14 /3, y = 42
= 42-/3, v= 14
d x=42, y = 14 /3

Answers

B it’s definitely B pick B

What is this plz this is the last thing i need

Answers

Answer:

Exactly 1

Step-by-step explanation:

y = 2 x + 1

The diameter of the circle shown below is 12 m. What is the area of the circle?

Answers

Answer:

36pi meters squared

Step-by-step explanation:

The area of a square is calculated using the formula "pi(r)^2" To find the radius (r), we divide the diameter by 2 (12/2=6). We know that the radius is six and 6^2 = 36. The last step is to multiply by pi.

What is the center and radius of this circle? And how do I find it

X2+y2+2x+6y-15=0

Answers

Answer:

Step-by-step explanation:

Tbh I haven’t learned this

I never learn this at all

Find the area of the figure in yards squared.

Answers

Answer:

370.1946711 yard ^2

Step-by-step explanation:

The figure is made out of two shapes, a square and a semicircle.

area of a circle is pi r^{2}

but in this question we have half of the cirlce therefore = 0.5 pi r^{2}

area of square = s * s

that makes the equation:

0.5* pi * (12)^{2} + 12^{2}

= 360.1946711

You go for a run on Monday.You ran 1.23 km.On Tuesday you run the same distance. How far did you run altogether.

Answers

You ran 4.64 km altogether
Step-by-step explanation:
If you go for a run on Monday and manage to run 2.32 km and the on Tuesday you run the same distance, then that would be another 2.32 km ran on Tuesday. We can then add these two together to figure out your Total distance ran altogether in those 2 days.

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.



The radius of the circle is 3 units.

The center of the circle lies on the x-axis.

The center of the circle lies on the y-axis.

The standard form of the equation is (x – 1)² + y² = 3.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

[tex]x^2+y^2-2x-8=0[/tex]

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

[tex](x^2-2x)+(y^2)=8[/tex]

And complete the square for the first term:

[tex](x^2-2x+1)+(y^2)=8+1[/tex]

Factor and simplify:

[tex](x-1)^2+y^2=9[/tex]

We can rewrite our equation as:

[tex](x-(1))^2+(y-(0))^2=(3)^2[/tex]

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

i got it right on edg if right mark as brainliest

Kimberly is in $16,000 worth of debt for three (3) companies. How much is Kimberly's
debt for each company?

Answers

Answer:

£5333.33333333

Step-by-step explanation:

$16,000 divided by 3 = $5333.33333333

Answer:

Step-by-step explanation:

Kimberlys debt for each company is -

16000/3 = 5333 (each)

Find the volume of this rectangular prism using V=Bh.

Answers

Answer:

144

Step-by-step explanation:

5(9)=45

v=bh

v=(45)(3.2)

v=144

i dont know what this is please help me thx <3

Answers

Answer:

x>0

Step-by-step explanation:

since the circle is white and not blue, it is a normal greater than sign and since the arrow is going to the right it is greater than

Answer:

it would be b because the line is showing that x is greater than zero and there  is no line under the symbol because the dot is not shaded in.

Step-by-step explanation:

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