Answer:
22
Step-by-step explanation:
Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:
20 + .5x + 3 + 0.75x ≤ 62.10
Combining the x terms, we get:
20 + 3 + 1.25x ≤ 62.10.
Combining the constants on the left:
23 + 1.75x ≤ 62.10
Combining the constants:
1.75x = 39.10
Solving for x: 39.10/1.75 = 22.34
Thus, the max number of whole pages she can have in her book is 22.
Answer:
22
Step-by-step explanation:
write the equations in logarithmic form 10^3=1,000
[tex]\log1000=3[/tex]
Which choice shows a function with a domain of {-4, -2, 2, 4}?
Answer:
Option C.
Step-by-step explanation:
Domain of any function is always represented by x - values when graphed.
Option A.
it has only one x value that is x = 2
Not correct.
Option B.
In this graph straight line doesn't intersect x - axis at x = -2 and -4.
So Not correct.
Option C.
If we see the x- values of the given set of coordinates, we find domain of the given function is { -4, -2, 2, 4}
Therefore, it's correct option.
Option D.
Given set with the coordinates shows domain set as {1, 0, 2, 6}
So it's not the answer.
Therefore, option C is correct.
A circle has a circumference of 28.36 units what is the diameter of the circle
Answer:
The diameter of circle d is 9.03
Step-by-step explanation:
Circumference of Circle = 28.36
We need to find the diameter of circle.
The formula used to find the circumference of circle is:
C = 2πr
we know that radius is half of diameter
so r = d/2
Putting value of r in above equation
C = 2π(d/2)
C = πd
The value of π is 3.14. finding value of d
28.36 = 3.14 * d
=> d = 28.36 / 3.14
d = 9.03
So, the diameter of circle d is 9.03
Answer:
The diameter is approximately 9 units
Step-by-step explanation:
Circumference is given by
C = pi *d
28.36 = pi *d
Let use 3.14 for pi
28.36 = 3.14 *d
Divide each side by 3.14
28.36 /3.14 = 3.14 d/3.14
9.031847134 = d
The diameter is approximately 9 units
If 80% of M is equal to 50% of N and N≠0, what is N M equal to?
Answer:
0.625N
Step-by-step explanation:
0.50N
0.80M = 0.50N, so M = ------------
0.80
and so:
0.50N
N*M = N*------------ = (5/8)N, or 0.625N
0.80
The length of a rectangle is
3
yd
more than twice the width
x
. The area is
230
yd
2
.
Area of a rectangle is Length times width.
The Width is given as X and the length is 2x+3
Now you have x * 2x+3 = 230
Multiplying x to 2x+3 = 2x^2 +3x
2x^2 +3x = 230
Subtract 230 from both sides:
2x^2+3x-230 = 0
Factor the polynomial:
(x-10) (2x+23) = 0
Solve for each x:
x = 10 and X = -11.5
Since a side of a rectangle can't be a negative number x = 10.
The width = x = 10 yards.
The length = 2(10) +3 = 23 yards.
Which type of graph uses the length of bars to show how many data points are in interview
Answer:
column chart
Step-by-step explanation:
hope this helps :)
It's probably a photo graph
Fernando has $10 to buy snacks for his friends at the baseball game. A
package of peanuts costs $0.99 and a box of Cracker Jacks costs $1.79. This
relationship can be represented by the inequality 99p+179€ 10. Two of
Fernando's friends want Cracker Jacks. Which inequality represents how
many packages of peanuts he can buy?
Answer:
6
Step-by-step explanation:
I added 2 cracker jacks to get how much money he had left the kept subtracting. 99 from the money he had left
Use the information provided to write the equation of the parabola in vertex form.
y=-3x2 - 6x +1
A D=3(x+3)²+2
B. y = 3(x+1)+4
y=-3(x+3)² +2
D. y=-3(x+1)+4
Please help
Answer: [tex]y=-3(x+1)^2+4[/tex]
Step-by-step explanation:
The vertex form of the equation of a parabola is:
[tex]f(x) = a(x - h)^2 + k[/tex]
Where (h, k) is the vertex of the parabola.
To write [tex]y=-3x^2 - 6x +1[/tex] in vertex form, you need to complete the square:
1. Move the 1 to the other side of the equation:
[tex]y-1=-3x^2 - 6x[/tex]
2. Since the leading coefficient must be 1, you need to factor out -3:
[tex]y-1=-3(x^2 + 2x)[/tex]
3. Divide the coefficient of the x-term inside the parentheses by 2 and square it:
[tex](\frac{2}{2})^2=1[/tex]
4. Now add 1 inside the parethenses and -3(1) to the other side of the equation (because you factored out -3):
[tex]y-1-3(1)=-3(x^2 + 2x+1)[/tex]
[tex]y-4=-3(x^2 + 2x+1)[/tex]
5. Convert the right side of the equation to a squared expression:
[tex]y-4=-3(x+1)^2[/tex]
6. And finally, you must solve for "y":
[tex]y=-3(x+1)^2+4[/tex]
if square root x = -7, then x= -49 true or false
Answer:True
Step-by-step explanation:
Answer:
false
Explanation:
square root of x= -7
the equation would be -7 x -7
-7 x -7= 49 not -49
Answer: false
16. You have 60 songs to choose from. In how many different ways can you load 5 songs onto your portable media player?
The order of choosing doesn't matter, so it's a combination.
[tex]_{60}C_5=\dfrac{60!}{5!55!}=\dfrac{56\cdot57\cdot58\cdot59\cdot60}{120}=5,461,512[/tex]
The ratio (m-2c) : (m+c) is equivalent to 1 : k show that m= c(2k+1)/k-1
[tex]\bf m-2c~:~m+c~~=~~1:k\qquad \implies \cfrac{m-2c}{m+c}=\cfrac{1}{k}\implies k(m-2c)=m+c \\\\\\ mk-2kc=m+c\implies mk-m-2kc=c\implies mk-m=2kc+c \\\\\\ \stackrel{\textit{common factor}}{m(k-1)=c(2k+1)}\implies m=\cfrac{c(2k+1)}{k-1}[/tex]
What is the range of the function f(x) = -(x + 3)2 + 7?
all real numbers less than or equal to 7
all real numbers greater than or equal to 7
all real numbers less than or equal to -3
all real numbers greater than or equal to -3
Answer:
It's A-all real numbers less than or equal to 7
Step-by-step explanation:
I just took the unit test and got a 100 on it!
The range of the function f(x) = -(x + 3)² + 7 is {y: y ∈ R, y ≤ 7}. So, option A is correct.
How to find the range of a function?Consider the given function as y = f(x)Solve for x ( isolate x from the equation)The domain of the obtained function is the range of the function f(x).Finding the range:Given that,
f(x) = -(x + 3)² + 7
⇒ y = -(x + 3)² + 7
⇒ (x + 3)² = 7 - y
⇒ (x + 3) = √(7 - y)
⇒ x = (√(7-y)) - 3
Thus, all the real values less than or equal to 7 for y define the function. So, the domain for the obtained function is {y: y ∈ R, y ≤ 7}.
Therefore, the range of the given function is {y: y ∈ R, y ≤ 7}.
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what is the radius of the sphere if surface area is 2826ft2? calculate in inches
Answer:179.95in
That is the awnser so how it helped
Step-by-step explanation:
Answer:
15.00 inches
Step-by-step explanation:
Recall the formula for the surface area of a sphere and a radius of r
A = 4πr²
In our case, we are given that A = 2826 ft² = 406944 in²
so,
406944 = 4πr²
r² = 406944 / (4π) (use π=3.142)
r² = 406944 / (4π) = 32383.57
r = √32383.57 = 179.95 in
Shining Star Preschool purchased a van for $38,000. Suppose MACRS allows vans to be depreciated fully in 6 years according to six fixed percents: 20% the first year, 32% the second year, 19.2% the third year, 11.52% the fourth and fifth years, and 5.76% the sixth year. What is the book value for the van at the end of the first year?
Answer:
The book value for the van at the end of first year will be $30400
Step-by-step explanation:
Cost of van = $38,000
Amount of depreciation after one year = 20%
Finding 20% of 38,000
=38,000 *(20/100)
= 7600
so, amount of van after 1 year = 38,000 - 7600
= 30400
So, the book value for the van at the end of first year will be $30400
The book value of the Shining Star Preschool's van at the end of the first year is $30,400, after depreciating 20% of its original cost of $38,000 using the MACRS method.
Using the Modified Accelerated Cost Recovery System (MACRS), the van is depreciated over 6 years with fixed percentages assigned to each year. The first year's depreciation is 20% of the purchase price.
To calculate the depreciation expense for the first year, we multiply the purchase price by the first year's depreciation rate:
Depreciation Expense (Year 1) = Purchase Price imes Depreciation Rate
Depreciation Expense (Year 1) = $38,000 imes 20%
Depreciation Expense (Year 1) = $7,600
Now, we subtract this depreciation expense from the purchase price to find the book value at the end of the first year:
Book Value (End of Year 1) = Purchase Price - Depreciation Expense (Year 1)
Book Value (End of Year 1) = $38,000 - $7,600
Book Value (End of Year 1) = $30,400
Therefore, the book value of the van at the end of the first year is $30,400.
kurt is buying a new cell phone. he knows that the more features the cell phone has, the more expensive it will be
Answer:the cost of the cell phone is a function of the number of features
Step-by-step explanation:
Because the cost depends on the features
1/6 + 2/3 tell me wat it is pls
Answer: 5/6
Step-by-step explanation:
2/3=4/6
1/6 + 4/6 = 5/6
Answer:
5/6
Step-by-step explanation:
you can rewrite 2/3 plus 1/6 as:
2/3+1/6
To add fractions you need to have a common denominator (the bottom half of the fraction). In this case 6 is a common denominator. To convert 2/3 we need to multiply it by the appropriate form of 1. We can multiply by 1 because 1 times anything does not change the value:
(2/2⋅2/3)+1/6⇒2/2⋅2/3+1/6⇒4/6+1/6⇒5/6
If 8x−4y=20 and 4x−8y=4, what is the value of x−y?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 6
Answer:
Step-by-step explanation:
Solve the system:
8x−4y=20
4x−8y=4
Reduce the first equation by dividing every term by -2:
-4x + 2y = -10
and then combine this result with the second equation:
4x−8y=4
-4x + 2y = -10
--------------------
-6y = -6, and so y = 1.
According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.
Then x = 3 and y = 1.
So, finally, x - y = 3 - 1 = 2
Rationalize the denominator and simplify 15sqaure root 6 over 3sqaure root 5
[tex]\bf \cfrac{15\sqrt{6}}{3\sqrt{5}}\implies \cfrac{15\sqrt{6}}{3\sqrt{5}}\cdot \cfrac{\sqrt{5}}{\sqrt{5}}\implies \cfrac{15\sqrt{6}\cdot \sqrt{5}}{3(\sqrt{5})^2}\implies \cfrac{15\sqrt{6\cdot 5}}{3(5)} \\\\\\ \cfrac{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\sqrt{30}}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \sqrt{30}[/tex]
Suppose U={1,2} is the universal set and T={2}. Then what is the complement of T
Answer:
T'={1}
Step-by-step explanation:
Definition:
Given a set T, the complement of T is the set of all elements in the universal set U, but not in T.
We can write T^c
You can also say complement of T in U
Complement of T( T')= U-T
where U={1,2} and T={2}
Now put the sets of U and T in the formula:
T'=U-T
T'={1,2}-{2}
T'{1}
Thus the Complement of T(T')={1}....
The complement of a set T in a universal set U is all the elements in U that are not in T. If U={1,2} and T={2}, the all the elements in U that are not in T corresponds to {1}. So, the complement of T is {1}.
Explanation:In the field of Mathematics, specifically in set theory, the complement of a set T in a universal set U is the set of all elements in U that are not in T. When we say complement of T, we are referring to the set of all outcomes in the universal set U that are NOT in T.
In this case, the universal set U={1,2}, and the event T={2}. Therefore, the complement of the set T in relation to U would be the set of all elements in U that are not in T. Hence, since 2 is in T, the only number left in U that is not in T is 1. So, the complement of T is {1}.
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what is the domain of the following list of ordered pairs? (-2, 1), (2, 0), (-1, -3), (4, 6)
Answer: -2, 2, -1, 4
Step-by-step explanation:
The domain are all the x-coordinates in the ordered pair.
The domain of the list is {-2, 2, -1, 4} if the list of ordered pair is (-2, 1), (2, 0), (-1, -3), (4, 6).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
List of ordered pairs is:
(-2, 1), (2, 0), (-1, -3), (4, 6)
As we know: order pair can be represented as:
(x, y) here x shows the domain of the function
and y shows the range of the function.
So the domain of the function:
= {-2, 2, -1, 4}
Thus, the domain of the list is {-2, 2, -1, 4} if the list of ordered pair is (-2, 1), (2, 0), (-1, -3), (4, 6).
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PLEASE HELP NOW!!
(PLZ ADD DESCRIPTIONS)
Question #1
Look at the following graph of Carl’s travel time and distance:
What is Carl’s constant rate of speed (in miles per hour)?
How many miles will Carl have traveled after 2 hours?
Question #2
Look at the following equation:
–4x + y = 10
What is the slope of this line?
What is the value of y when x = 3?
Question #3
What is the rate (in dollars per ticket)?
How much money will the theater earn if it sells 150 tickets?
1. Carl's constant rate of speed is the slope of the straight line graph.
This straight line passes through: (0,0), (5,1), (10,2) etc
We can use the slope formula with any two points to find the slope of this line.
The slope formula is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
Let [tex](x_1,y_1)=(0,0)[/tex] and [tex](x_2,y_2)=(5,1)[/tex]
Then [tex]m=\frac{1-0}{5-0}[/tex], [tex]\implies m=\frac{1}{5}[/tex].
Carl's speed is [tex]\frac{1}{5}[/tex] miles per minute.
But we must leave our answer in miles per hour
Hence Carl's speed is [tex]\frac{1}{5}\times 60=12[/tex] miles per hour
After 2 hours, Carl will travel [tex]12\times 2=24[/tex] miles.
2. The given line has equation [tex]-4x+y=10[/tex]
We write this in slope-intercept form by solving for y.
[tex]\implies y=4x+10[/tex]
This is in the form [tex]y=mx+c[/tex], where [tex]m=4[/tex] is the slope.
When x=3, [tex]y=4(3)+10[/tex]
[tex]\implies y=12+10=22[/tex]
When x=3, y=22
3. The given straight line graph that models the situation passes through:
(0,0) and (20,30).
The slope of this line is [tex]\frac{Rise}{Run}=\frac{300}{20}=15[/tex]
Therefore the rate is $ 15 per ticket.
If the theater sells 150 tickets, the earnings will be: [tex]150\times 15=2,250[/tex] dollars.
If my friend and i went to get ice cream, I have $30 and each ice cream is $5. What equation would help me solve this? I need an equation...
Your question asks to make an equation with the information that was given.
Answer: y = -5x + 30In order to make an equation for your question. We would be making an equation with the formula: y = mx + b.
Formula: y = mx + b
m = change
x = amount of ice cream
b = starting value
We would need to gather the key information from the question.
Key information:
You have $30
Each ice cream cost $5
With the information above, we can make an equation for the question.
What we know is that you started with $30, so that means that 30 would be your b value (starting value).
Your equation should look like this:
y = mx + 30
Now, we know that each ice cream cost $5, but since we're paying for the ice cream, we would subtract that from our starting value. This means that our change would be -5, since we are taking away $5 each time we buy ice cream.
Your equation should look like this:
y = -5x + 30
The equation above would be the equation for your question.
We would do nothing to x but just leave it as is, since we don't know how many ice creams you're going to buy.
y = -5x + 30 should be your FINAL answer.
I hope this helps!Best regards, MasterInvestorZachery is solving the equation 3/4 (x - 8) = 12
Which is the best first step to begin to simplify the equation?
Answer:
3/4*x - 3/4*8=12
3/4x -6=12
3/4x=12+6
3/4x=18
x=24
Step-by-step explanation:
multiply 3/4 into the content inside the brackets
have -3/4*8 cross the equal sign changing its sign from - to +
divide both sides by 3/4
5. What is the length of an arc that subtends a central angle of 75° in a circle whose radius is 5 inches?
Round off your answer to the nearest whole number.
A. 7
B. 4
C. 16
D. 21
Answer:
[tex]\boxed{\text{A. 7 in}}[/tex]
Step-by-step explanation:
The formula for the arc (s) of a circle is
[tex]s = r\theta \times \dfrac{\pi}{180^{^{\circ}}}[/tex]
where θ is measured in degrees.
Data:
r = 5 in
θ = 75°
Calculation:
[tex]s = \text{5 in} \times 75^{^{\circ}}\times\dfrac{\pi}{180^{^{\circ}}} = \textbf{7 in}\\\\\text{The length of the arc is }\boxed{\textbf{7 in}}[/tex]
«
In simplified form, V18 is _
Answer:
3V2
Step-by-step explanation:
V18
V9 times 2 equals 18
V3 to the second power because 3 times 3=9 so we get 3V2
Tom bought a soft drink for two dollars and five candy bars. He spent a total of $22. How much did each candy bar class?
Answer:
c = $5.00
Step-by-step explanation:
Let c = the cost of each candy bar
3 + 8c = 43
8c = 40
Answer I need help this question because I don’t know what it is and I need help
Answer:
17
Step-by-step explanation:
QS and RS equal the same
5x - 8 = 3x + 2
-3x +8 -3x +8
2x = 10
x = 5 you would then plug x into QS
5(5) - 8
25 - 8
17
Answer:
17
YA
Step-by-step explanation:
I need help on this question
Answer:
6e^2f (3f^2-2e)
Step-by-step explanation:
18 e^2 f^3 - 12 e^3 f
18 e^2 f^3 = 2*3*3 ee fff
12 e^3 f = 2*2*3 eee f
The common terms are 2 *3*eef
Factor that out
2*3*eef (3ff - 2e)
Combine like terms
6e^2f (3f^2-2e)
Angles whose terminal sides lie on the x-or y-axis are _____.
a)reference angles
b)quadratic angles
c)quadrantal angles
d) terminal angles
Angles whose terminal sides lie on the x and y axis are Quadrantal angels.
Hope it helps.
Answer:
The correct answer option is c) quadrantal angles.
Step-by-step explanation:
When the terminal sides lie on the x axis or the y axis in the standard position, the angles are called as quadrantal angles.
For example when one of the sides lie on the x axis and one lies on the y axis, it makes an angle of 90 degrees which is a quadrantal angle (as shown in the picture attached).
Jonathan bought a new computer for $2,016, using the electronics store's finance
plan. He will pay $112 a month for 18 months. Which equation can Jonathan use to
find out how much money he still owes after each month of the plan?
Select one:
a. y = 2,016 - 112x
b. y = 2,016 + 112x
C. y = 112r
d. y = 1126 – 2,016
Answer:
a. 2016-112x
Step-by-step explanation:
because each month he need to pay $112 so it have to be multiplied to the number of month and then answer should be subtracted from 2016