A local Hamburger shop sold a combined total of 553 hamburgers and cheeseburgers on Saturday. They were 53 more cheeseburgers sold and hamburgers. How many hamburgers were sold on Sunday?

250 hamburgers were sold on Sunday

Step-by-step explanation:

Let there are x hamburgers and y cheeseburgers sold on Sunday.

ATQ,

x + y = 553 (1)

There were 53 more cheeseburgers sold than hamburgers.

y = 53 + x (2)

Put the value of y from equation (2) in equation (1).

x + (53 + x) = 553

2x+53 = 553

2x = 500

x = 250

Put the value of x in equation (2).

y = 53 + 250

y = 303

Hence, 250 hamburgers were sold on Sunday

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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