Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:
[tex]17x=1800.[/tex]Solving the above equation for x, we get:
[tex]x=\frac{1800}{17}.[/tex]Rounding up to the nearest whole number we get:
[tex]x\approx106.[/tex]Answer: [tex]106.[/tex]A square has side length of 7.3 in. If the area is multiplied by 1/9, what happens to the perimeter. Please help!
Note that if the area of any figure is multiplied by a factor of a.
The perimeter will be multiplied by √a
From the problem, the are of the square is multiplied by 1/9, so we need to get the square root of that factor to get the factor for the perimeter.
[tex]\sqrt[]{\frac{1}{9}}=\frac{1}{3}[/tex]Therefore, the answer is C. multiplied by 1/3
a company produces very unusual CD's for which the variable cost is 8$ per CD and the fixed costs are $30000. They will sell the CD's for $63 each. Let x be the number of CD's produced. Write the total cost C as a function of the number of CD's produced.C=$___Write the total revenue R as a function of the number of CD's produced R=$_______Write the total profit P as a function of the number of CD's producedP=$______Find the number of CD's which must be produced to break even.The number of CD's which must be produced to break even is_______
Remember that to model this kind of problems, we can use the equation of a straight line
[tex]y=mx+b[/tex]Where:
• b, are the fixed costs
,• x ,represents what varies
,• m, is the cost of what varies
1. Therefore, using the data provided, we can model the cost of production with a function where:
• x ,is the numbers of CD's produced
,• C, is the cost of producing those CD's
[tex]C=8x+30000[/tex]2. To model the revenue, we'll have to take into account that every CD sells at $68. Therefore, the money collected by selling the x CD's produced is:
[tex]R=63x[/tex]Where:
• x ,its the number of CD's produced and sold
,• R, is the total revenue
3. To get the profit, we'll have to substract the production cost to the money collected by the sale. Remember we already have two expressions, in terms of x, that describe both situations. Therefore,
[tex]\begin{gathered} P=R-C \\ \rightarrow P=63x-(8x+30000)\rightarrow P=63x-8x-30000 \\ \rightarrow P=55x-30000 \end{gathered}[/tex]Where:
• x ,its the number of CD's produced and sold
,• P, is the total revenue
4. In order to break even, the revenue (R) has to be equal to the cost of production (C), Thus,
[tex]\begin{gathered} R=C\rightarrow63x=8x+30000 \\ \rightarrow63x-8x=30000 \\ \rightarrow55x=30000\rightarrow x=\frac{30000}{55} \\ x=545.5 \\ \text{Rounding to closest integer,} \\ x=546 \end{gathered}[/tex]Therefore, 546 CD's would have to be produced to break even.
There are 840 tickets available for a concert.
1/7 of these tickets have not been sold.
How many of the tickets have been sold?
Answer:
720
Step-by-step explanation:
If 1/7 of the tickets have not been sold, 6/7 of the tickets have.
840 * 6/7
720
3 XWhat is the value of x in the equation 4-- =O-32O-18O 18O 3224?
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given equation
[tex]-\frac{3}{4}=\frac{x}{24}[/tex]STEP 2: Find the value of x
Cross multiply the equation
[tex]\begin{gathered} -3\times24=4\times x \\ -72=4x \end{gathered}[/tex]Divide both sides by 4
[tex]\begin{gathered} -\frac{72}{4}=\frac{4x}{4} \\ -18=x \\ x=-18 \end{gathered}[/tex]Hence, the value of x is -18
Select the correct answer.An engineering firm designs a custom hexagonal screw for a computer board. A sketch of the top of the screw is below. To the nearest tenth,what is the area of the screw head?ymm8.€4-2-x mmO-2--4--4OA15.6 mm2.OB. 93.5 mm2OC 62.4 mm2OD.1871 mm²402
We will have the following:
We can see that the shape of the head can be subdivided in smaller shapes, that is:
Now, we calculate the 5 areas, that is:
[tex]\begin{gathered} A_1=\frac{(6)(3)}{2}\Rightarrow A_1=9 \\ \\ A_2=\frac{(6)(3)}{2}\Rightarrow A_2=9 \\ \\ A_3=(6)(12)\Rightarrow A_3=72 \\ \\ A_4=\frac{(6)(3)}{2}\Rightarrow A_4=9 \\ \\ A_5=\frac{(6)(3)}{2}\Rightarrow A_5=9 \end{gathered}[/tex]Now, the total area is:
[tex]\begin{gathered} A_T=A_1+A_2+A_3+A_4+A_5\Rightarrow A_T=9+9+72+9+9 \\ \\ \Rightarrow A_T=108 \end{gathered}[/tex]So, the total area is 108 mm^2-
Students A and B have probabilities of failing an exam of 1/2 and 1/5 respectively. The probability of them both failing the examination is 1/10. Determine the probability that at least one of the two students fail.
Answer:
7/5
Step-by-step explanation:
1/2 + 1/5
probability that at least one of the two students fail is 7/5
last question of the day :)
Answer:
0.5
Step-by-step explanation:
0.5 x 0.5 = 0.25
Answer:
x=0.5
Step-by-step explanation:
x=±√0.25
x=±0.5
x=0.5,−0.5
PLS HELP WILL MARK BRAINLIEST
Answer:
did not understand waht should we do
3/4+(1/2+1/4) 2⋅2
NEED HELP.
Answer:
15/8 for exact form
1.875 for decimal form
And
1 and 7/8 for mixed number form
hope this helps you!
(also already in the simplest form :)
The image of the point (1, 1) under a translation is (0, 3). Find the coordinates of the image of the point (-4, "-1) under the same translation.
The image of the point (-4, -1) after the translation is:
(-3, 1)
How to identify the translation?
A translation:
Tᵃ'ᵇ applied to a point (x, y) gives:
Tᵃ'ᵇ(x, y) = (x + a, y + b).
In this case, we know that:
Tᵃᵇ(1, 1) = (1 + a, 1 + b) = (0, 3)
Then:
1 + a = 0
1 + b = 3
Solving these we get:
a = 1
b = 3 - 1 = 2
The translation is:
T¹'²
Applying this to the point (-4, -1) gives:
T¹'²(-4, -1) = (-4 + 1, -1 + 2) = (-3, 1)
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Write two hundred thousand and
Seventeen in figures
Answer:
200,017
Step-by-step explanation:
2 at the front for 200,000 , and then you have 17 which are the last 2 digits
Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n
Answer:
X=11
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
Because, [tex](8*18+14)=(9*18-4)[/tex] is true
Match each ratio to an equal ratio. Drag the items on the left to the correct location on the right.
Answer:
30
Step-by-step explanation:
it doesn't seem to be correct question
x=3
35. If 7-√5 / 7+√5= a +b√5, then find the value of a and b.
When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? Original Equation: 5.x2 + (10x2 + 10) = 3x? First Step: 15x2 + 10 = 3.2 commutative property of multiplication commutative property of addition multiplication property of equality
The original equation is:
5 x^2 + (10 x^2 + 10) = 3 x^2 - 5
The first step the person did was:
15 x^2 + 10 = 3 x^2 - 5
so in this first step the person used the associative property of addition by associating 5 x^2 with 10 x^2 and combining them to give 15 x^2.
Please check if there is an option that states such among your options.
Determine the rate at which the sloth travels.
Justify your answer.
Distance (ft)
987654MN-
6.
3-
2
1
0
Speed of a Sloth
1 2
3 4
Time (min)
The rate at which the sloth travels as required in the task content is; -22ft/min.
Speed as a rate of distance with respect to time.It follows from the task content that the rate at which the sloth travels is to be determined.
Since the correct representation of the data is such that the distance and corresponding time pairs are as follows;
(98, 1) , (76, 2) , (54, 3), (32, 4).
Hence, the rate of distance change per time is the speed of the sloth and hence, the rate of distance change is;
Rate = ∆Distance/∆time.
Rate, R = (98 - 76)/(1 - 2)
Rate, R = 22/-1
R = -22 ft/min.
Ultimately, the rate at which the sloth travels is therefore; -22 ft/min.
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Scale factor=.9 is enlarge , reduce , or preserve ?
The scale factor K = 0.9 is smaller than 1, so this is a reduction.
What type of dilation do we have?If we have a dimension L, a change of scale of scale factor K gives the new length: K*L
Then:
if K > 1, we have an enlargement.
if K = 1, we have a preservation (nothing changes)
if 0 < K < 1, we have a reduction.
In this case, we have K = 0.9, this is smaller than 1, so we have a reduction.
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Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A (4, 5), B (12,9); 3 to 1 The coordinates of P are:
By applying line ratio, the coordinates of P are: [10, 8].
How to determine the coordinates of P?Mathematically, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical expression:
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Given the following parameters:
Point A (4, 5)Point B (12, 9)m:n = 3:1Substituting the given parameters into the formula, we have;
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
P(x, y) = [(3(12) + 1(4))/(3 + 1)], [(3(9) + 1(5))/(3 + 1)]
P(x, y) = [(36 + 4)/4], [(27 + 5)/4]
P(x, y) = [40/4, 32/4]
P(x, y) = [10, 8].
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Select the correct answer.
Function g is a transformation of the parent cosine function such that g(x) = 3 cos (x + 2) + 1. Which graph represents function g?
Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.
What is cosine function?The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
What is Graph?A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.
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Answer:
see photo
be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.
Step-by-step explanation:
Plato/Edmentum
Which equation has no solution?
Answer:
The answer is the third one down
Step-by-step explanation:
l5-3xl = -8
Absolute value cannot equal a negative number.
Step-by-step explanation:
l5-3xl = -8
the | | is absolute value to it so it cant be negative number
simplify 20:15
simplify 35:49
simplify 81:36
simplify 27:45
simplify 21:36
pls help me i’m crying rn bro
Answer:
1. 4:3
2. 5:7
3. 9:4
4. 3:5
5. 7:12
Step-by-step explanation:
I'm sure you don't care how to get the answers, you just want them :)
If a rectangle has a length of 6cm and a width of 4cm what is it's area
Answer:
area = l×b
= 6×4
. = 24 cm²
Step-by-step explanation:
this is the answer
the admission fee at a local zoo is $ 1.50 for children and $ 5.00 for adults. on a certain day, 2000 people enter the zoo and $ 7 , 550.00 is collected. how many children and how many adults attended?
There are [tex]700[/tex] children and [tex]1300[/tex] adults.
What is system of linear equations?
A System of Linear Equations is when we have two or more linear equations working together.
Let [tex]x[/tex] be number of children and [tex]y[/tex] be number of adults.
Since [tex]2000[/tex] people enter the zoo then [tex]x+y=2000.[/tex]
The admission fee at a local zoo is $ [tex]1.50[/tex] for children and $ [tex]5.00[/tex] for adults and $[tex]7550.00[/tex] collected then [tex]1.5x+5y=7550[/tex].
Thus there are two linear equations to solve.
Substitute [tex]x=2000-y[/tex] in [tex]1.5x+5y=7550.[/tex]
[tex]1.5(2000-y)+5y=7550[/tex]
[tex]3000-1.5y+5y=7550[/tex]
[tex]3000+3.5y=7550[/tex]
[tex]3.5y=7550-3000[/tex]
[tex]3.5y=4550[/tex]
[tex]y=\frac{4550}{3.5}[/tex]
[tex]y=1300[/tex]
So [tex]x=2000-y=2000-1300=700.[/tex]
Therefore there are [tex]700[/tex] children and [tex]1300[/tex] adults.
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Find the square root. V100
for the square root you must look for a number that multiplied with itself gives you the indicated value
for this case a number that multiplied by itself gives you 100
[tex]10\times10=100[/tex]sothe square root of 100 is:
[tex]10[/tex]Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a
graphing utility, use it to graph the function and verify the real zeros and the given function value.
n= 3:
4 and 4 i are zeros;
f (- 1)= - 255
The polynomial is f(x) = x³ - 12x² + 64x + 128
Given,
The polynomial has 4, 4-4i, and 4+4i as its roots.
f(-1) equals -255
We have to find a polynomial of degree 3.
If x = 4 is a root, then:
(x - 4) is a factor of the polynomial.
If x = 4 - 4i is a root,
Then,
(x - 4 + 4i) is a factor of the polynomial.
If x = 4+4i is a root.
Now,
(x - 4 - 4i) is a factor of the polynomial.
All the three roots are of the same polynomial.
So,
The polynomial is the product of these factors.
f(x) = k(x - 4) (x-4+4i) (x-4-4i)
f(x) = k(x - 4) [(x-4)² - (4i)²]
f(x) = k(x- 4) [x² + 16 - 8x + 16]
f(x) = k(x - 4) [x² - 8x + 32]
f(x) = k[x³ - 8x² + 32x - 4x² + 32x - 128]
f(x) = k[x³ - 12x² + 64x + 128]
Now find "k", we know that f(-1) = -255.
f(-1) = k[(-1)³ - 12(-1)² + 64(-1) + 128]
-255 = k[-1 - 12 - 64 + 128]
-255 = k × -255
k = 1
That is, the polynomial is f(x) = x³ - 12x² + 64x + 128
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three friends earned more than $200 washing cars. They pay their parents $28 for supplies and divided the rest of the money equally. right an equality to find possible amount each friend earned. Identify what your variable represents.
x is each friend
3x + 28 > 200
3x > 172
x > $57.33
if right can a i get brainliest pls
Answer:
Step-by-step explanation: $200-$28= $172
$172÷3=$57.33
Evaluate if x = 4. x² + x = [?]
Answer: The answer is 0.
X = 0 when evaluated.
Step-by-step explanation:
write the equation of a line through ( 3, 1), parallel to y = 2/3x + 1.
Answer:
y = 2/3 x - 1
Step-by-step explanation:
Parallel slopes are equal.
y = mx + b
m = 2/3
x = 3 Use the x and y given in the point (3,1)
y = 1
Solve for b the y-intercept
y = mx + b
1 = 2/3(3) + b
1 = 2 + b Subtract 2 from both sides
-1 = b
y= mx +b
y = 2/3x -1
Whats 1+1?
(Just a joke)
Answer:
either 11 or 21
Step-by-step explanation:
tho I might be 2
i need help with the image below
Answer:
A. k ≥ 8.14
Step-by-step explanation:
Hope this helps! :))