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RideAnS [48]
3 years ago
14

At the football concessions stand, Tia sold 78 hamburgers and chicken tenders. If she

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.

The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.

As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.

Now write out each sentence using variables.

1.) Tia sold 78 hamburgers and chicken tenders.

x+y=78

2.) If she sold 24 more hamburgers than chicken tenders.

x=y+24

Now that we have the 2 equations, its time to solve.

Since we have x=y+24, we can replace the x in the first equation with the second equation

y+24+y=78

2y+24=78

Now we can subtract 24 from both sides.

2y=54

Simplify

y=27

Solve for x

x=27+24=51

Done!

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andrey2020 [161]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)
konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

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

The slope of the line that passes through (−12, 15) and (4, −5) is

m_{1} =  \frac{ - 5 - 15}{4 -  - 12}

m_{1} =  \frac{ - 20}{16}  =  -  \frac{5}{4}

The slope of the line going through (−8, −9) and (16, 21) is

m_{2} =  \frac{21 -  - 9}{16 -  - 8}

m_{2} =  \frac{21  + 9}{16  + 8}

m_{2} =  \frac{30}{24}  =  \frac{5}{4}

The product of the two slopes is

m_{1} \times m_{2} =  -  \frac{4}{5}  \times  \frac{5}{4}  =  - 1

Since

m_{1} \times m_{2} =  - 1

the two lines are perpendicular.

4 0
3 years ago
Read 2 more answers
Please helpppp I’m not sure how to solve
Nesterboy [21]

Answer:

If a is 1.. we substitute one in every a in g(a)

4 * 1 + 16

4+ 16 = 20

g(a)= 20

f(20)

-16 + 20 = 4

and 4/4 = 1

so f (g (a)) = a

Step-by-step explanation:

6 0
3 years ago
What is the domain of g(x) = sqrt x +1
Shkiper50 [21]
There can be no negative in a sqrt 
so x+1 must be equal or greater then 0
x+1\geq 0
x \geq -1
so all answers must be greater then  or equal to -1
-1,0,1,2,3,4,5,6,7,8
(-1,infinity) is the domain
7 0
3 years ago
Solve equation of <br>5/2x=25/4​
Bingel [31]

Answer:

x = 5/2

Step-by-step explanation:

Solve for x:

(5 x)/2 = 25/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (5 x)/2 = 25/4 by 2/5:

(2×5 x)/(5×2) = 2/5×25/4

Hint: | Express 2/5×5/2 as a single fraction.

2/5×5/2 = (2×5)/(5×2):

(2×5)/(5×2) x = 2/5×25/4

Hint: | Express 2/5×25/4 as a single fraction.

2/5×25/4 = (2×25)/(5×4):

(2×5 x)/(5×2) = (2×25)/(5×4)

Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).

(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:

x = (2×25)/(5×4)

Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.

25/5 = (5×5)/5 = 5:

x = (2×5)/4

Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

Answer:  x = 5/2

6 0
4 years ago
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