Considering the definition of an equation and the way to solve it, the cost of one hot wing is $0.6.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it and the equality must be true.
To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing "x" the cost of one hot wing, and knowing that:
The first customer bought 8 hot wings and left a $4 tip. → First customer payment= 8x +4The second customer bought 10 hot wings and left a $2.80 tip. → Second customer payment= 10x + 2.80Both customers paid the same amount per hot wing.the equation in this case is:
First customer payment= Second customer payment
8x +4= 10x +2.80
Solving:
4 - 2.80= 10x - 8x
1.2= 2x
x= 1.2 ÷ 2
x=0.6
Finally, the cost of one hot wing is $0.6.
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Which value of x makes the equation 3.5(x+20)=6+.75(x+1) true?
Answer:
x = -23
Step-by-step explanation:
3.5(x+20) = 6 + .75(x + 1) Multiply the terms inside the parentheses on the left by 3.5 and the parentheses on the left by .75
(3.5)x +(3.5)(20) = 6 + (.75)x +(.75)(1)
3.5x + 70 = 6 + .75x + .75 Combine the 6 and .75 on the right side
3.5x + 70 = 6.75 + .75x Subtract .75x from both sides of the equation
2.75x + 70 = 6.75 Subtract 70 from both sides of the equation
2.75x = -63.25 Divide both sides by 2.75
x = -23
Check
3.5(-23+20) = 6 + .75(-23 + 1)
3.5(-3) = 6 +.75(-22)
-10.5 = 6 +(-16.5)
-10.5 = -10.5
Answer:
x = -23
Step-by-step explanation:
3.5(x+20)=6+.75(x+1)
3.5x + 70 = 6 + .75x + .75
3.5x+70=.75x+6.75
2.75x+70=6.75
2.75=−63.25
divide^
x = -23
In the figure, angles ABC and AST are right angles. If AC = 35, AT = 11, and BT = 9, then what is AS?
AS=6.28
First, draw a line joining C and T;
Two triangles TBC and TSC are formed;
Also, AC=35, AT=11,BT=9;
AB=AT+BT=11+9=20
Using pythagoras theorem;
AB² + BC² = AC²
BC²=35²-20²=825
Using pythagoras theorem on triangle TBC;
BC² + TB²= CT²
825 + 9²=CT²
CT²=906;
In triangle CST, using pythagoras theorem;
CS²+ST²=CT²=906 -1
In triangle AST, using pythagoras theorem;
AS²+ST²=AT²=11²=121 -2
Subtract 1 from 2;
AS²+ST²-CS²-ST²=121-906
AS²-CS²=-785
AS²-(AC-AS)²=-785
AS²-(35-AS)²=-785
AS²-AS²-35²+70AS=-785
AS=6.28
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Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)
Nine added to twice a number, x, is -5
what is the equation?
what is the solution?
Answer: -7
Step-by-step explanation: -7 times 2= -14, -14 +9= -5
385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.
How many people get off the train at the final destination?
385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.
560 is the answer
560 people get off the train at the final destination.
Given that 385 people get on an empty train. At the first stop, 264 more people get on, and 89 people get off.
There are no more stops until the train reaches it final destination,
We need to find the number of the people who get off the train at the final destination.
To find out how many people get off the train at the final destination, let's break down the information given step by step.
385 people get on the empty train at the station.
At the first stop, 264 more people get on the train, bringing the total number of people on the train to 385 + 264 = 649.
Additionally, 89 people get off the train at the first stop.
After the first stop, there are no more stops until the final destination.
To find out how many people get off at the final destination, we need to subtract the number of people who got off at the first stop from the total number of people on the train after the first stop.
Total number of people on the train after the first stop = 649 (from step 2)
People who got off at the first stop = 89 (from step 3)
Number of people who get off at the final destination = Total number of people on the train after the first stop - People who got off at the first stop
Number of people who get off at the final destination = 649 - 89 = 560
Therefore, 560 people get off the train at the final destination.
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Given h(x) = 4x + 2, find h(5).
Answer:
22
Step-by-step explanation:
Simply substitute x = 5 in the function equation
h(5) = 4 (5) + 2 = 20 + 2 = 22
Given ~
[tex] \tt \: h(x) = 4x + 2[/tex]
[tex] \: [/tex]
put the value of x = 5 in given function ~
[tex] \tt \: h(5) = 4(5) + 2[/tex]
[tex] \: [/tex]
[tex] \tt \: h(5) = 20 + 2[/tex]
[tex] \: [/tex]
[tex] \underline{ \boxed{ \tt\red{h(5) = 22}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
13⅘ + (2.6)
11.2
16.0
-10.8
-11.2
Step-by-step explanation:
[tex] {13}^{ \frac{4}{5} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{(13) {}^{4} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{28561} + 2.6 \\ [/tex]
[tex]7.78 + 2.6 = 10.38 \\ [/tex]
Find the equation of the line.
Use exact numbers.
y=
#+
what is the formula of (a+b)²
Hey there!
Finding the the answer to the [Binomial]
(a + b)^2
CONVERT:
= (a + b)(a + b)
DISTRIBUTE
= a(a) + a(b) + b(a) + b(b)
= a^2 + ab + ab + b^2
COMBINE the LIKE TERMS
= (a^2) + (ab + ab) + (b^2)
= a^2 + ab + ab + b^2
= a^2 + 1ab + 1ab + b^2
= a^2 + 2ab + b^2
Therefore, your answer should be:
a^2 + 2ab + b^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Select the correct answer.
Simplify.
√96
A 24√4
B. 6√4
C 4√6
D. 16√6
Answer : C] 4√6
Thank you !
. Use Structure is the product the same
when multiplying 22 x (-5) and multiplying
(-5) x 22? Explain.
Answer:
Yes.
Step-by-step explanation:
Let's say a=22 and b=-5
According to the Commutative Property of Multiplication, a*b=b*a. Hence, 22*(-5)=(-5)*22.
22*(-5)=
-(22*5)=-110
(-5)*22=
-(5*22)=-110
-110=-110 √
is x-2 a equation? explain
Answer:
no
Step-by-step explanation:
an equation must and always have an equal sign(=) otherwise it is an expression e.g. 2x-3y or x-2
an equation will look like this: a=b or other equations
Samir just got hired for a new job and will make $50,000 in his first year. Samir was told that he can expect to get raises of $2,500 every year going forward. How much money in salary would Samir make in his 29th year working at this job?
122.500$
First hello I hope you are doing. The first step is to multiply 2.500 with 29 and the result is 72.500$ . Then you add the 50.000$ to 72.500$ which is the raise and you have the result which is 122.500$
I hope I helped you
Write these fractions as powers of ten:
1/1000 7/100 000 1/10000000 3/60000
The fractions represented as power of ten are:
a. 1×(10)⁻³
b. 7× (10)⁻⁵
c. 1 × (10)⁻⁶
d. 5 × (10)⁻⁵
Given :
a. 1/1000
we know that 1/(10)³
when we take the reciprocal, the sign changes from positive to negative.
that is, 1×(10)⁻³
b. 7/100000
we know that 7/(10)⁵
likewise, we get
that is, 1×(10)⁻⁵
c. 1/10000000
we know that 1/(10)⁷
reciprocate it, we get
1×(10)⁻⁷
d. 3/60000
rearrange it.
3/6×10000
divide it.
1/2×10000
divide and multiply by 10.
10/2×10000×10
multiply it.
5/100000
5 × (10)⁻⁵
Hence we calculated the given fractions as powers of ten.
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Two similar bottles are shown.
The smaller bottle can hold 500 ml of water. How much water can the larger bottle hold? + 2³ 15 cm 主要 66% E 21 cm
The larger bottle holds a 700ml volume of water.
What is volume?
Volume is a measure of enthralled three-dimensional space. It's frequently quantified numerically using SI-deduced units or by colorful Homeric units. The description of length is interrelated with volume. Volume is the volume of three-dimensional space enthralled by a liquid, solid, or gas. Common units used to express volume include liters, boxy measures, gallons, milliliters, ladles, and ounces, however, numerous other units live. In mathematics,' Volume' is a fine volume that shows the quantum of three-dimensional space enthralled by an object or an unrestricted face.Two(2) bottles given in the pic are similar(no difference)
Therefore, the volume/cm height of both(2) bottles will proportional
By using the proportionality rule, [tex]\frac{15}{500} =\frac{21}{x}[/tex]
x = 700ml(seven hundred)
Hence, the correct answer is 700ml.
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Laney walks 13 miles to school from her
house and rides the bus home. If she walked five
days last week, how many total miles did Laney
walk?
The Total number of miles that Laney walked is 65 miles.
How to calculate the value?From the information, Laney walks 13 miles to school from her house and rides the bus home and she walked five days last week.
Therefore, the total number of miles that he walked will be:
= 13 × 5
= 65 miles.
Therefore the miles is 65 miles.
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Melissa rents out her barn for weddings and special events. She charges $550 for the space plus $10 per hour for utilities. The equation that represents this situation is y=10+550
Complete the following statements.
The variable,x, in this context is defined as [Drop Down 1]. The parameter is the coefficient of x, which is [Drop Down 2], and is [Drop Down 3]. The constant [Drop Down 4] is [Drop Down 5]. The variable that is the output in this context is [Drop Down 6] and represents [Drop Down 7].
drop down 1:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours
drop down 2:
y
10
550
drop down 3:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours
drop down 4:
y
10
550
drop down 5:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours
drop down 6:
y
10
550
drop down 7:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours
Answers:
Choice C) the number of hours the barn is rentedChoice B) 10Choice A) the hourly rateChoice C) 550Choice B) the base fee to rentChoice A) The variable yChoice D) total amount charged========================================================
Explanation:
The equation is y = 10x+550
If x = 0, then it leads to y = 550. This is the smallest amount paid, and it's the base fee. Think of it like the fee to get in the door. This is the y intercept of the equation.
On top of this base fee is the $10 per hour fee for utilities. Each time an hour goes by, add on another extra $10. So we attached x to this to reflect what's going on. This is the slope of the equation, aka rate of change.
It might be helpful to compare y = mx+b to y = 10x+550
m = 10 = slope = how things change
b = 550 = y intercept = starting point
----------
Example:
Let's say you rented the barn for 2 hours.
That means x = 2 and 10x = 10*2 = 20 extra dollars is added on top of the base fee of $550
total = 20+550 = 570
This is what the steps could look like when plugging in x = 2
y = 10x+550
y = 10*2 + 550
y = 20 + 550
y = 570
Therefore, renting the barn for x = 2 hours leads to a total cost of y = 570 dollars.
What is the common ratio between successive terms in the sequence?
1.5, 1.2, 0.96, 0.768,
The common ratio between successive terms in the sequence is 1. 25
What is common ratio?
Common ratio is defined as the ratio of each term of a geometric sequence to the term before it.
It is also known as the constant factor between consecutive terms of a geometric sequence.
It is the number multiplied or divided by at each interval.
Given the sequence;
1.5, 1.2, 0.96, 0.768,
The common ration is;
= 1. 5/ 1. 2
= 1. 25
Thus, the common ratio between successive terms in the sequence is 1. 25
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The length of a rectangle is three more than double the width. if the perimeter is 78 inches, find the dimensions.
The length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
Given that, the length of a rectangle is three more than double the width and the perimeter of a rectangle = 78 inches.
We need to find the dimensions of the rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangle be x.
Then, length=2x+3
Now, perimeter=2(2x+3+x)
⇒ 78=2(3x+3)
⇒ 3x+3= 39
⇒ 3x=36
⇒ x=12 inches
So, width=12 inches and length=2x+3=27 inches
Therefore, the length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
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Eleri has 97 cents credit on her phone it costs 6 cents to send a message. How many people can eleri send a message to? Explain how you worked it out.
please and thank you.
f(x) = 12x² - 81, find f(0).
Answer:
f(0) = - 81
Step-by-step explanation:
f(0) means what is the value of f(x) when x = 0
substitute x = 0 into f(x)
f(0) = 12(0)² - 81 = 12(0) - 81 = 0 - 81 = - 81
will mark brainlest
Answer:
Step-by-step explanation:
1. a. coordinates of polygon B: (-2, 1), (-4, 1), (-2, 3), (-4, 4)
b. coordinates of polygon C: (-2, -1), (-4, -1), (-2, -3), (-4, -4)
c. coordinates of polygon D: (-2, 1), (-4, 1), (-2, 3), (-4, 4) -> same as polygon B because you after reflecting B to C, they are asking you basically reflect it back to B
2. C (-2, -1)
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
The circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.
We are given that:
Length of the shorter arc forming an angle of 45° with the center = 22 cm
AB = 22 cm
C is the center of the circle.
We know that the length of the arc is calculated as:
Length of an Arc = θ × (π / 180) × r
22 = 45 × (3.14 / 180) × r
22 = 0.785 r
r = 22 / 0.785
r = 28.0255
Circumference = 2 π r
Circumference = 2(3.14) (28.0255)
C = 176 cm
Therefore, we get that, the circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.
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The sum of 2, 6, and a number amounts to 15. Find the number.
The expression √81-√100 represents the number of feet between home plate and first base. What is the distance, in feet, between home plate and first base?
The distance between home plate and first base is -1 feet
How to determine the numberFrom the information given, we have that;
The expression for the number of feet between home plate and first base is given as;
√81-√100
Where;
√81 is the number of feet at home plate√100 is the number of feet at the first baseTo determine the distance, we take find the square root of the numbers and substitute, we have;
9 - 10
Find the difference
-1 feet
Thus, the distance between home plate and first base is -1 feet
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Liza earned some money by taking care of her neighbors pet. she bought a drink for $1.95 and a concert ticket for $30. she bought a ring for $7.20 and then two-thirds of the remaining money on a wireless speaker. if liza has 38.50 left, write and solve an equation to find the amount of money m liza earned by taking care of her neighbors pet.
The equation is 1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m
The amount of money Liza earned is $154.65
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
let the money she earn be m.
the remaining money = m-1.95-30-7.20
So, her total earning is,
1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m
39.15+38.50+2/3(m-39.15)=m
77.65+2m/3-26.10=m
77.65-26.10=m-2m/3
51.55=(3m-2m)/3
51.55*3=m
m=$154.65
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Given f(x) = 3x+9 and g(x) = 5x-1, find f(g(x)).
Step-by-step explanation:
In this equation, given
f(x) = 3x + 9 and g(x) = 5x -1
So the question is what is the value of f if we put the value of g(x) in f(x)
So to solve the equation we need to replace the value of x in f(x) with g(x)
So it was obtained as below
f(g(x)) = 3(5x-1) + 9
= (15 x - 3) + 9
= 15 x + 6
Calculate the surface area of the object provided.
A. 56 cm
B. 64cm³
C. 80cm²
D. 112cm²
Answer:
112cm^2
Step-by-step explanation:
A=2(wl+hl+hw)=2·(2·8+4·8+4·2)=112
Answer: B. 64 cm³
Step-by-step explanation:
Let's lenth of the object set is a, width - b and height - h
Thus,
V=abh
a=8 cm b=2 cm h=4 cm
Hence,
V=8*2*4
V=64 cm³
A rectangular sheet of tin measures 20 inches by 12 inches. suppose you cut a square out of each corner and fold up the sides to make an open-topped box. what size square should you cut out to maximize the box's volume? show all work to earn credit.
The volume of the box is maximized when a 6 x 6 inch or 10 x 10 inch square is cut from the corners of the rectangular sheet.
Volume of rectangle:
The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.
The formula for Volume of the rectangle is
V = l x b x h
where
l represents the length
b represents the breadth
h represents the height.
Given,
A rectangular sheet of tin measures 20 inches by 12 inches. suppose you cut a square out of each corner and fold up the sides to make an open-topped box.
Here we need to find the volume of the box is maximized when a square is cut from the corners of the rectangular sheet.
Here we have the following values:
h = x
l = 20 - 2x
b = 12 - 2x.
Here we have to subtract two times of x value because in the question they said that we have to cut a square from it.
Apply the values on the volume formula then we get,
=> V = (20 - 2x) x (12 - 2x) x (x)
=> V = [240 - 40x - 24x + 4x²] x (x)
=> V = [240x - 64x² + 4x³]
Now differentiate:
=> V' = 240 - 64x + 4x²
Simplify and order the equation,
Then we get,
=> V' = x² - 16x + 60
When we factorize the equation then we get,
=> V' = x² - 6x - 10x + 60
Take the common term out of it,
=> V' = x (x-6) -10(x -6)
Therefore, the value of x is, either 6 or 10.
Now you need to look at your solutions.
At x=6, the volume is,
=> V = (20 - 2(6)) x (12 - 2(6)) x (6)
=> V = (20 - 12) x (12 - 12) x 6
=> V = 8 x 0 x 6
=> V = 0
our corner squares devour the entire piece of cardboard and you are left with zero volume; so that solution is a minimum.
Now at the value of x = 10,
The volume is
=> V = (20 - 2(10) x (12 - 2(10)) x (10)
=> V = (20 - 20) x (12 - 20) x 10
=> V = 0 x (-8) x 10
=> V = 0
So, in both cases we have 0 as minimum volume. So, we can take any one of the value to get the maximum out of it.
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Which of the following options are examples of how you can name the angle?
Answer:
3rd and 4th
Step-by-step explanation:
Answer:
∠C and ∠DCB and ∠BCD
Step-by-step explanation:
We can name an angle either using one letter that represents it or use all three letters together.
When we use a single letter to represent or point an angle we must choose the center letter, C in this case.
And when we use all three letter to point an angle we must place the center letter, again C in this case, in the middle
Therefore the angle can be named as
∠C or ∠DCB or ∠BCD
