. Derek bought 5 burgers for $9.95. What is the cost for two burgers?

The value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

An equation is given which is 0.75(x + 20) = 2 + 0.5(x - 2).

We have to find out the value of x for which the equation becomes true.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The equation given is 0.75(x + 20) = 2 + 0.5(x - 2)

Let's solve to get the value of x.

⇒ 0.75(x + 20) = 2 + 0.5(x - 2)

⇒ 0.75x + 15 = 2 + 0.5 x - 1

⇒ 0.75x - 0.5x = 1 - 15

⇒ 0.25x = - 14

⇒ x = -14 ÷ 0.25

⇒ x = - 56

Let's check ;

0.75(x + 20) = 2 + 0.5(x - 2)

0.75 ( -56 + 20 ) = 2 + 0.5 ( -56 - 2 )

(0.75 × -56) + (0.75 × 20) = 2 + (0.5 × -56) + (0.5 × -2)

-42 + 15 = 2 -28 - 1

-27 = -27

Both sides are equal for value of x = -56.

Thus , the value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

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Answer:

1.3%

Step-by-step explanation:

If we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages.

Suppose x₁ is the population of the year 1. As a result of the given condition the population of a city next year,x₂ is

x₂=0.987 x₁

The decrement in the percentage is found by the following formula,

% r = x₁-x₂/x₂

% r =x₁-0.987x₁/0.987x₁

% r =1.3 %

Thus, if we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

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Answer:

A- No

B- yes

C-yes

D- no

Step-by-step explanation:

learned about these yesterday, just depends on the x axis

Answer:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Step-by-step explanation:

jayfeather friend me

Answer:

What you have to do is take

2 1/2 and divided by 4 which is 0.625 when you convert that to a fraction its 5/8

so your answer is 5/8 ths

Step-by-step explanation:

Answer:  60 dollars

===============================================

Work Shown:

x = original price

y = sale price

The sale price is always smaller than the original price, so y < x.

The equation linking the two variables is

y = 0.8x

since 80% = 80/100 = 0.8

We know the sale price is $48, which means y = 48. This leads to:

y = 0.8x

0.8x = y

0.8x = 48

x = 48/0.8

x = 60

The original price was $60

Note: since the sale price is 80% of the original price, this must mean that we have a 20% discount (100% - 80% = 20%)

Answer:

Step-by-step explanation:

Check by direct substitution.  If we begin by checking x = 3/2, we substitute 3/2 for x in (3x - 2)(x + 5), obtaining (9/2 - 2)(3/2 + 5), which is NOT zero.  Therefore x = 3/2 is not a solution.

(3*5−2)(5+5)=0  False.  x = 5 is not a solution.

(3*[-5]−2)([-5+5)=0  True.  x = -5 is a solution

x = 2/3:  (3*2/3 - 2)( ) = 0.  True  x = 2/3 is a solution

x = -2/3:  ( )( ) = -17 1/3;  so x = -2/3 is not a solution

x = -3/2:  ( ) ( ) = -22 3/4; so x = -3/2 is not a soution

Answer:

A

Step-by-step explanation:

it's easy, just have to look at the problem

Answer:

8x^3-5x^2-11x+32

Step-by-step explanation:

Answer:

The answer is (x+3)(x-15)

Answer:

The answer to the question is 50.28 feet²

Step-by-step explanation:

Here, is why the answer to the problem is 13.72!

The area of the shaded region is:-

Area of total region - Area of the circular region

Area of total region is 8² so it is 64 feet²

Area of Circular region formula is πr²

Substitute the values, for the formula and it is π4² = 22/7 × 16

                                                                         → 352/7

                                                                        ⇒ 13.72 Feet²

Therefore, the area of the shaded region is 13.72 Feet²

(Now, we subtract the two values)

64 - 13.72

⇒ 50.28 Feet²

I hope this answer helps!

Answer: Volume = 103.823 cubic inches

Step-by-step explanation:

Volume= length x width x height

Volume = 4.7inxhes x 4.7inxhes x 4.7inches

Volume = 103.823 cubic inches

Answer:

50%

Step-by-step explanation:

28×0.50= 14

14+28= 42

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Answer:

You may want to email your teacher. I am pretty sure it is d, or f(x)=4-x.

Step-by-step explanation:

4-1=3

4-2=2

4-3=1

4-4=0

Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

Answer:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130\\}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Step by step:

Step 1: Subtract -5 from both sides.

8x2+16x−62−(−5)=−5−(−5)

8x2+16x−57=0

For this equation: a=8, b=16, c=-57

8x2+16x+−57=0

(plus-minus) = ±

Step 2: Use quadratic formula with a=8, b=16, c=-57.

x=[tex]\frac{-b(plus-minus)\sqrt{x} b^2-4ac}{2a}[/tex]

x=[tex]\frac{-(16)(plus-minus)\sqrt{(16)^2-4(8)(-57)} }{2(8)}[/tex]

x=[tex]\frac{-16(plus-minus) \sqrt{2080} }{16}[/tex]

ANSWER:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Answer:

+) the area of the original house is:

(x + 8)(x + 12) = x² + 20x + 96.

+) the area of the new addition is:

(x + 6)x = x² + 6x

+) the total area of the house is:

x² + 20x + 96 + x² + 6x = 2x² + 26x + 96

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function representing the number of customers on day x

f(x) = 3ˣ

Part A)

We need to determine the day when there are 243 customers.

so substitute f(x) = 243 in the function

[tex]f\left(x\right)\:=\:3^x[/tex]

Part B)

Solving the equation

[tex]f\left(x\right)\:=\:3^x[/tex]

[tex]243\:=\:3^x[/tex]

as 2⁵ = 243, so

[tex]\:2^5=3^x\:[/tex]

x = 5

The value of x = 5

Part C)

As the value of x = 5

Therefore, on the 5th day, there would be 243 customers.

Answer:

Initial value = 10, slope = 4

Step-by-step explanation:

Initial value is the point where x takes its lowest value. In this case it is x = 0 and y = 10. Rate of change is the slope at a given point. Because this is a first order equation graph the slope is always the same. And in this case it is 4 as for every 1 unit of x the y goes 4.

Answer:

Kevin makes $850

Step-by-step explanation:

Answer:

The coefficient is -5, and the base is 12.

Step-by-step explanation:

The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression [tex]-5g_{12}[/tex]. The base would be the little subscript number that is next to the variable, so the base in the expression [tex]-5g_{12}[/tex] is 12.

you got it

Step-by-step explanation:

Answer:

D. 22x^2-18x-15

Step-by-step explanation:

12x²-19x+4 + 10x²+x-19

22x²-18x-15

Answer:

A)

Adventureland.

B)

Coaster City

C)

5 People

Step-by-step explanation:

The cost of Adventureland for p people is:

[tex]A=20+9p[/tex]

And the cost of Coaster City for p people is:

[tex]C=40+5p[/tex]

Part A)

If four people is going on the trip, p = 4. So, the cost for Adventureland is:

[tex]20 + 9(4) = \$ 56[/tex]

And the cost for Coaster City is:

[tex]40+5(4)=\$60[/tex]

Since $56 < $60, Adventureland will be a better option.

Part B)

If three extra people were invited, the total amount of people p is now 7. So, the cost to Adventureland is:

[tex]20 + 9(7) = \$ 83[/tex]

And the cost to Coaster City is:

[tex]40+5(7)=\$ 75[/tex]

Since $75 < $83, Coaster City is the better option in this case.

Part C)

So, we can set the two cost equations equal to each other:

[tex]20+9p=40+5p[/tex]

Solve for p. Subtracting 20 from both sides yields:

[tex]9p=20+5p[/tex]

And subtracting 5p from both sides yields:

[tex]4p=20[/tex]

And dividing both sides by 4:  

[tex]p=5[/tex]

So, if 5 people went on a trip, the cost of going to either Adventureland or Coaster City will be the same.