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dem82 [27]
2 years ago
11

a local hamburger shop sold a combined total of 698 hamburgers and cheeseburgers on sturday . there were 52 fewer cheeseburger s

old then hamburgers . How many hamburgers were sold in saturday’s?
Mathematics
1 answer:
Semenov [28]2 years ago
6 0
297 698 divided by 2 -52 = 297 hamburgers
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Find the slope and y-intercept of -x + 2y = 3. I need help on working this problem out​
natita [175]

Answer:

So the slope of this function is \frac{1}{2} and the y-intercept is \frac{3}{2}

Step-by-step explanation:

A first order function has the following format:

y = ax + b

In which a is the slope and b is the y-intercept, that is, the value of y when x = 0.

We have the following equation:

-x + 2y = 3

We just have to rewrite this equation

2y = x + 3

y = \frac{x+3}{2}

y = \frac{x}{2} + \frac{3}{2}

Which means that

a = \frac{1}{2}, b = \frac{3}{2}

So the slope of this function is \frac{1}{2} and the y-intercept is \frac{3}{2}

6 0
3 years ago
PLEASE HELPP ♥
kirza4 [7]

Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33

4.

What happens if we try to plug x=

4 0
3 years ago
In the floor plan for a house, one bed-
UkoKoshka [18]

Answer: the length of one side of the bedroom is 24 feet.

the length of one side of the closet is 3 feet

Step-by-step explanation:

Let x represent the length of one side of the bedroom.

Let y represent the length of one side of the closet.

The sides of the bedroom were 8

times as large as the sides of the closet. This means that

x = 8y

the sum of the areas of the two was

585 square feet. The area of the room is x^2 and the area of the closet is y^2. Therefore,

x^2 + y^2 = 585 - - - -- - - -1

Substituting x = 8y into equation 1, it becomes

(8y)^2 + y^2 = 585

64y^2 + y^2 = 585

65y^2 = 585

y^2 = 585/65 = 9

Take square root of both sides of the equation,

y = √9 = 3

x = 8y = 8×3 = 24

5 0
3 years ago
Thea builds the first layer of rectangular prism using 4 unit cubes.Raj adds 4 more layers of 4 unit cubes each. How many unit c
pishuonlain [190]
You simply multiply 4 by 5 and get 20. :)
3 0
3 years ago
The Bun-and-Run is a franchise fast-food restaurant located in the Northeast specializing in halfpound hamburgers, fish sandwich
bija089 [108]

Answer:

franchise fast-food restaurant located in the Northeast specializing in halfpound hamburgers, fish sandwiches, and chicken sandwiches. Soft drinks and French fries are

also available. The planning department of Bun-and-Run Inc. reports that the distribution of

daily sales for restaurants follows the normal distribution and that the population standard

deviation is $3,000. A sample of 40 showed the mean daily sales to be $20,000. Find the 95%

confidence interval for the population mean.

5 0
2 years ago
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