The simplified equation of the given statement = 1.08r.
Addition variable in math's:Even though they also have different operations, adding and subtracting variables follow the same rule: while adding or subtracting terms with the same variables, either add or subtract the coefficients and leave the result with the variable. As an example, consider an addition.
According to the given data:The original cost of the new robotic toy is given as r.
The cost of the new robotic toy after a 8% markup is: c + 0.08r to show that 8% of r was being added to r to increase the price.
Because both numbers in the equation are related to the same variable, they can be added. When r is used alone, it is considered to be 1r.
= r + 0.08r
= 1r + 0.08r
= 1.08r
The simplified equation of the given statement = 1.08r
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I understand that the question you are looking for is:
The cost of a new robotic toy after an 8% markup can be represented by the expression r+0.08r. Simplify the expression.
A minor league baseball team plays 94 games in a season. if the team won 16 more than twice as many games as they lost, how many wins and losses did the team have?
The number of wins is 68 ad losses is 26.
How to compute the value?Let the number of losses = l
Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16
Total games = 94
Therefore we will add the equation
l + 16 + 2l = 94
3l + 16 = 94
3l = 94 - 16
3l = 78
Divide
l = 78/3
l = 26
Losses = 26
Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68
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how do you write slope-intercept form of the equation of each line given the slope and y-intercept.
slope: -5/4
y-intercept: 4
Answer:
y = -5/4 x + 4
Step-by-step explanation:
Make sure the -5/4 is beside the x. It should not look like the x is on the bottom of -5/4 alongside of the 4.
Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.
Slope-intercept eq:
y = mx + b
You fill in slope where the m is. And you fill in the y-intercept for the b.
In your problem they gave you the slope: m = -5/4 and the y-intercept: b=4.
Fill the m and b in with the given numbers!
y = -5/4 x + 4
◄x
Find the product 3 2/5 x 5/3
PLEASE HELP FAST
Which ordered pair is a solution to the system of inequalities?
Answer:
2. (-2, -3)...............
Solve 8 + 2g = 11 for g. Explain.
Answer:
8+2g=11
1. subtract 8 from both sides
2g=3
2. Divide both sides by 2
ANSWER: g=1.5
ITS RSM HELP ME I WILL GIVE BRAINLIEST
For the given function, we have that:
The domain is [-4,4].The zero is at (0,0).The function is positive if x < 0.The function is negative if x > 0.What is the domain of the function?The domain of a function is the set that contains all possible input values for the function. In a graph, it is given by the values of x.
In this problem, the function is defined between x = -4 and x = 4, hence the domain is [-4,4].
What are the zeros of a function?
The zeros are the values of x for which f(x) = 0, that is, when it crosses the x-axis.
Hence, for this problem, the zero is at (0,0).
The function is positive when it is above the x-axis, and negative when it is below, hence:
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COLOR THEME
QQ ZOOM
5. Ms. Smith and Ms. Arceneaux are making tablecloths for their classrooms. They need
3
1
2-yards of material for each of the 2 smaller tables and 5 yards for each of the 2
4
2
larger tables. How much material did they need for the 4 tables?
Answer:
thanks for the points
Step-by-step explanation:
thanks once again
|r|=-2 can i have some help with this
Answer:
Yes, is there more to the question?
Step-by-step explanation:
Suppose two cars depart from a four-way intersection at the same time, one heading north and the other heading west. The car heading north travels at the steady speed of 40 ft/sec and the car heading west travels at the steady speed of 64 ft/sec.
When are the two cars 1 mile apart? (Round your answer to one decimal place.)
answer in seconds
50.76922
after 50.8 seconds because
50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles
2 The circle below has a radius of 5 inches.
Find the circumference of the circle.
5 in
RES
it Rate
ertis
Answer:
C ≈ 31.42 in
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 5 = 10π ≈ 31.42 in ( to 2 dec. places )
Approximate √18 to the nearest tenth and plot
the number on a number
line.
Answer: 4.2
Step-by-step explanation:
√18=
4.24=
4.24=4.2
a cookie store is running a new special for their grand opening they charge $10 for any number of cookies between 1 and 10 they then charge $20 for any number of cookies between 11 and 20 lastly for orders over 20 cookies they charge $20 plus a fee of $0.50 for each additional cookie past $20
A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost
C) how much would a order of 25 cookies cost
D) what does the equation f(100)=60 mean in this context
Answer:A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost 20$
C) how much would a order of 25 cookies cost 22.5
D) what does the equation f(100)=60 mean in this context
Step-by-step explanation: I am sorry but I only know the answers to b and c I hope that I help for those parts. :(
solve for x - please help.
Answer:
x =20°
Step-by-step explanation:
since both sides are equal
3x° = (5x-40°)
3x = 5x - 40°
CLT( collect like terms)
40°= 5x - 3x
40° = 2x
40°/2= 2x/2
20° = x
therefore x =20°
j² 5k for j = -4 and k = -1
Answer: -80
Step-by-step explanation:
j = -4 and k = -1
j² 5k=
5kj²=
5(-1)(-4)²=
-5(16)=-80
The graph of an absolute value function has a vertex of (3, 6) and crosses the x-axis at (-3,0) and (9,0). What is the equation of the absolute value function?
The equation of the absolute value function is y = -|x - 3| + 6
How to determine the equation of the absolute value function?The given parameters are
Vertex = (3, 6)
Crosses the x-axis at (-3,0) and (9,0)
An absolute value equation is represented as
y = a|x - h| + k
Where
Vertex = (h, k)
So, we have
y = a|x - 3| + 6
At (-3, 0), we have
0 = a|-3 - 3| + 6
This gives
0 = a|-6| + 6
So, we have
0 = 6a + 6
Solve for a
a = -1
Substitute a = -1 in y = a|x - 3| + 6
y = -|x - 3| + 6
Hence, the equation of the absolute value function is y = -|x - 3| + 6
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solve the equation t/4 = -6
Answer:
t = -24
Step-by-step explanation:
[tex]\frac{4t}{4}=4\left(-6\right)\\t=-24[/tex]
If a patient drank 1/2-pint of apple juice and received 1 L via IV, what is the total amount of
fluids, in mL, they took in?
The total volume of fluid that the patient takes in is:
V = 1284.13 mL
What is the total amount of fluids, in mL, they took in?
We need to add the total volume of liquid that the patient consumes.
First, we need to rewrite both volumes in mL, remember that:
1 pint = 568.26 mL
Then for the 1/2-pint of apple juice:
1/2 pint = (1/2)*568.26 mL = 284.13 mL
And:
1L = 1000L
For the liter we have:
1 L = 1000ml
Then the total volume of fluid that the patient takes in is:
V = 284.13 mL + 1000ml = 1284.13 mL
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5(6+5v)+5(-8-4v) pls explain how to do this
Answer:
-10 + 5v
Step-by-step explanation:
5(6 + 5v) + 5(-8 - 4v)
We distribute first
30 + 25v -40 - 20v
Then we can combine like terms: 30 plus (-40) is -10. 25v plus (-20v) = 5v.
-10 +5v
The function g is defined as follows
g(x)=2x^2-7
If the graph is translated vertically downward by 3 units, it becomes the graph of a function h
FIND THE EXPRESSION OF h(x)
H(X)=
Here is how the function g is defined.
g(x)=2x²-7 The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units. The function of h(x)=2x²-4.
Given that,
Here is how the function g is defined.
g(x)=2x²-7
The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units.
We have to find the function of h(x).
Translation of the quadratic function.
A quadratic function is presented in the form where in its standard form.
f(x)=a(x-h)²+k
Where (h,k) are the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.
h(x)=g(x)+k
Where g(x)=2x²-7 and k=3
h(x)=g(x)+3
h(x)=2x²-7+3
h(x)=2x²-4
Therefore, the function of h(x)=2x²-4.
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Jane has a carton of orange juice.
The carton is in the shape of a cuboid.
20cm-
6cm
10 cm
The depth of the orange juice in the carton is 8 cm.
Jane closes the carton.
Then she turns the carton over so that it stands on the shaded face.
Work out the depth, in cm, of the orange juice now.
The new depth of the orange juice is now 4cm
Calculating VolumeFrom the question, we are to calculate the depth of the orange juice after Jane turns the carton
First, we will determine the volume of orange juice in the carton.
The volume of orange juice in the carton = 10 cm × 6 cm × 8cm
Volume of orange juice in the carton = 480 cm³
Now, we will determine the depth of the orange juice when the carton stands on the shaded face
If carton stands on the shaded face,
The length becomes 20 cm
and
The width becomes 6 cm
Let the new depth of the orange juice be h
Then,
We can write that
480 = 20 × 6 × h
480 = 120 × h
h = 480/120
h = 4 cm
Hence, the new depth of the orange juice is now 4cm
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Create a verbal math expression (using words). (Your verbal expression must contain "a number" so that the algebraic expression contains a variable.)
Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? (x + 5) * (x - 5)
How to create Algebra Word problems?
Algebraic word problems are defined as questions that require translation of sentences into equations, and after that, we now solve those equations. They usually contain a single variable that depicts an unknown quantity in a real-life scenario.
Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? This is expressed as;
(x + 5) * (x - 5)
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the accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency. a) describe the shape. b) how many modes does the histogram have?
A)- The distribution is skewed left.
B)- The histogram has one mode, at 74 to 76 years.
What is histogram?The distribution of numerical data is roughly shown by a histogram. Karl Pearson is credited with coining the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as a series of discrete intervals that don't overlap. Histograms provide a general idea of the density of the underlying distribution of the data, and are frequently used for density estimation: estimating the probability density function of the underlying variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.
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Estimate the square root to the nearest tenth. √489
Answer: 22.1
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Write an expression to represent the number of new tiles that an employee must add to an n*n square floor design to build the next design. let n represent the number of tiles along each edge of the square
Expression to represent the number of tiles that must be added = 4(n + 2) - 4
Each time a new square floor design is created, there are 8 more new tiles added. To make Designs 2 and 3, respectively, 8 and 16 more tiles were placed on Design 1 and Design 2, respectively.
Possible expressions are:
4n + 4
2(n + 2) + 2n
(n + 2)² - n²
n + n + n + n + 4
4(n + 2) - 4
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The Mariana Trench is 11 km below sea level. The Japan Trench is 9 km below sea level. What is the difference of depths between them, and which trench is deeper?
2 km, and the Mariana Trench is deeper
−2 km, and the Japan Trench is deeper
20 km, and the Japan Trench is deeper
−20 km, and the Mariana Trench is deeper
The difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper
What is the difference of depths between them, and which trench is deeper?
The given parameters are:
Mariana Trench = 11 km
Japan Trench = 9 km
The Mariana Trench is deeper because 11 is greater than 9
The difference between the depth is
Difference = 11 km - 9 km
Difference = 2 km
Hence, the difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper
what is the problem0.57+1.825
Answer:
2.395
Step-by-step explanation:
0.57+1.825 the answer is 2.395
A rental car company charges prices based on the number of days
you rent the car. If you only rent it for up to 4 days, it will cost a flat
fee of $50 plus $25 per day rented. If you rent it for more than 4
days, they only charge you a flat fee of $45 and $20 per day rented.
How much will you owe if you rent the car for 7 days?
Using linear equations, A rental car company charges prices based on the number of days you rent the car will charge $185 if you rent the car for 7 days.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let us consider the number of days = x
The equation when number of days(x) <= 4,
⇒ $50 + $25x1 = y1
If the car is rented for more than 4 days, (x>4)
⇒ $45 + $20x2 = y2
Now, we are to calculate the rent for 7 days,
which equals,
y2 = $45 + $20x2
for x2 = 7,
y2 = $45 + $20 × 7
⇒ 45 + 140
⇒ $185
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HELP!!!! Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Answer:
4 over 6 = 20 over 30
Step-by-step explanation:
it's the same poster but enlarged to be bigger proportionally. So to get 20 from 4 and 30 from 6 you have you multiply by 5. it's a 5 times bigger poster
f(c)=3c-8
g(c)=√14-c
Evaluate.
(fog)(-11) =
Answer: f(g(-11)) = out -23
Step-by-step explanation:
The value of the composite function (fog)(-11) is 3√14 - 41.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions.
In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
Given, Are two functions f(c) = 3c - 8 and g(c) = √14 - c.
Now, We know that (fog)(c) is the output of g(c) is in the input of f(c).
So, g(-11) = √14 - 11.
Therefore,
(fog)(-11) = 3(√14 - 11) - 8.
(fog)(-11) = 3√14 - 33 - 8.
(fog)(-11) = 3√14 - 41.
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Al caer la tarde, la temperatura en seattle era de 7 C. A medianoche ‘ la temperatura había caído 15C cual era la temperatura a media noche
Answer:
hh jkj
Step-by-step explanation:
Answer:
al la trade la temperature en Seattle
Era de 7c a medical
Step-by-step explanation: