The expression to represent the number of t-shirts that Lisa can purchase is 14x + 58 = 150
How to calculate the equation?From the information given, Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.
Let the number of shirts be represented by x. The expression will be:
= (14 × x) + 58 = 150
14x + 58 = 150
Solving the expression will be:
14x + 58 = 150
14x = 150 - 58
14x = 92
x = 92/14
x = 6.5
The number of shirts that can be bought is 6.
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is 8.75x linear or non-linear
Find the degree of the equation to determine if linear.
Linear
PLS HELP
WHAT IS THE WIDTH AND THE LENGTH?!
Answer:
The width is 8.27 inches and the length is 11.69 inches
Step-by-step explanation:
210/25.4=8.27
297/25.4=11.69
what is the sum of the following equation? 16/100
a. 10/100
b. 22/100
c. 36/100
d. 76/100
Answer:
0.76
\(\frac{19}{25}\)
Step-by-step explanation:
Answer:
D) 76/100
Step-by-step explanation:
16/100 + 6/10 = ?
16/100 + 60/100 = ?
16/100 + 60/100 = 76/100
How do I solve this question?
Answer:
c
Step-by-step explanation:
Work out the composition and see what you get.
\((f\circ g)(x)=f(g(x))=f(7x+10)=\dfrac{(7x+10)-10}{7}=\dfrac{7x}{7}=x\)
This is your first clue that the functions are inverses of each other, so we expect that g(f(x)) = x will be true, too. We can work that out to confirm it.
\((g\circ f)(x)=g(f(x))=g\left(\dfrac{x-10}{7}\right)=7\left(\dfrac{x-10}{7}\right)+10\\\\=(x-10)+10=x\)
So, the appropriate choice is as shown below.
If f(x) = 4x + 1, find f(3).
Replace x with 3. Then simplify
f(x) = 4x+1
f(3) = 4(3)+1
f(3) = 12+1
f(3) = 13
Answer:13
Step-by-step explanation:
You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.
If angle 3 is 3x and angle 5 is 2x+30, what are the measures of angle 3 and 5?
Answer:
23
Step-by-step explanation:
Please help!-----------------
The Johnsons are buying a house that costs $210,000 and can afford a 20% down payment. If the Johnsons want the lowest monthly payment, which loan option would you recommend?
a.
30 year FHA, 3.5% down at a fixed rate of 6.25%
b.
30 year fixed, 20% down at a fixed rate of 6%
c.
30 year fixed, 10% down at a fixed rate of 6%
d.
15 year fixed, 20% down at a fixed rate 5.5%
Anyone know how to do this and can explain?
9514 1404 393
Answer:
b. 30 year fixed, 20% down at a fixed rate of 6%
Step-by-step explanation:
Loan payments increase when ...
loan value is higher
interest rate is higher
payback period is shorter
__
For the lowest payment, you need to choose the longer payback period (30 years vs. 15 years). To make the loan value lower, the down payment must be higher (20% vs. 10% or 3.5%). A lower interest rate (6% vs 6.25%) will make the payment lower, too.
__
A financial calculator says ...
15 year loan on 168,000 at 5.5% -- payment is $1372.70
30 year loan on 168,000 at 6% -- payment is $1007.24
The interest rate must be about 1.02% for the 15-year loan to have a payment as low as the 30-year loan.
The lowest payment will be on the loan of choice B.
F(x)=5x and g(x)=-4x+3
Answer and Step by Step:
Alrighty people. Time to do some math!
So to find the first problem we basically need to combine all the functions and multiply them. Ugh I know I know it may seem a little complicated.
f ((-4x + 3)(5x))
(is this the final answer?)
Hmm maybe not so complicated. Oh well on the the next one. By the way let me know if the first problem is not finished.
We basically do the same thing here
(-4x+3)(f(5x))
Hope you have a good day and luck in finding good memes!
Find the area of the figure .
Answer:
the answer is 134
Step-by-step explanation:
for area u need to cut the object into a cut Wich I did 5 times two and 14 times 16 then I multiplied the two number of each set then added 124 and 10 to get 134
Find the area of the quadrilateral below. Give your answer in cm² and give any decimal answers to 1 d.p. 8 cm E H 11 cm 4 cm
The total area of the quadrilateral is 70 cm²
How to find the area of the quadrilateral?The quadrilateral is divided into two right triangles.
First we can find the length of EG, the dased line, it is the hypotenuse of triangle EGH, using the Pythagorean theorem we will get:
EG² = (11cm)² + (8cm)²
EG = √((11cm)² + (8cm)²) = 13.6 cm
Now, the area of a triangle of base b and height h is:
a = b*h/2
Then the area of the triangle in the left is:
a = 8cm*11cm/2 = 44cm²
For the other triangle, EFG, we need the height, which is EF.
Again using the same theorem we can write:
EF² + FG² = EG²
REplacing what we know:
EF² + (4cm)² = (13.6 cm)²
EF = √( (13.6 cm)² - (4cm)²) = 13cm
Then the area of this triangle is:
a' = 13cm*4cm/2 = 26cm²
And the total area is:
44cm² + 26cm² = 70 cm²
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Aâ _______ is any event combining two or more simple events.
A compound event is any event combining two or more simple events.
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
combining two or more simple events.
As a general rule
When two or more simple events are combined, the result is a compound event
An example is selecting 1 in a die and head in a coin
This means that the statement that completes the blank is compound event
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Select the statement that accurately describes the following pair of triangles 1. ABC~YZX~by SAS2. ABC~YXZ~by SAS3. ABC~ZYX~by SAS4. ABC~ZXY~by SAS5.ABC~XZY~by SAS6. ABC~XYZ~by SAS7. Triangles are not similar
Step 1: Let's recall what is SAS:
"SAS" means "Side, Angle, Side"
Step 2: Let's use The Law of Cosines to calculate the unknown side of the triangles given:
Formula of The Law of Cosines is:
\(a^2=b^2+c^2\text{ - }2\text{ bc }\cdot\text{ }\cos \text{ (}\angle A\text{)}\)
In the triangle ABC, we have:
b = 15, c = 21 and angle A is 75 degrees
Step 3: Substitute the values given in the formula
\(a^2=15^2+21^2\text{ - 2 }\cdot\text{ 15 }\cdot\text{ 21 }\cdot\mathring{Cos(75}\circ)\)\(a^2\text{ = 225 + 441 - }630\ast\text{ 0.2588}\)\(a^2\text{ = 666 - 163.044 = 502.956 }\Rightarrow\text{ a = 22.43}\)Step 4: Let's use The Law of Sines to find the smaller of the other two angles
\(\sin \text{ }\angle B\text{ }\frac{\square}{\square}21\text{ }=\text{ }\sin \text{ (75) }\frac{\square}{\square}\text{ 22.43}\)\(\sin \text{ }\angle B=\text{ (}0.966\text{ }\ast\text{ 21) / 22.43}\)\(\sin \angle\text{ B = 0.9044 }\Rightarrow\text{ B = }\sin ^{-1}\text{ (0.9044)}\)\(\angle B\text{ = 64.74}\circ\text{ }\Rightarrow\text{ }\angle C\text{ = 180 - 64.74 - 75 = 40.26}\circ\)Step 5: Find the last angle, recalling that the interior angles of a triangle add up to 180 degrees
\(\angle\text{ C = 180 - 64.74 - 75 = 40.26}\circ\)Now, we have the sides and the angles of triangle ABC:
Sides = 15,21, 22.43
Angles = 75, 64.74, 40.26
Find the constant "c" which produces a solution which also satisfies the initial condition y(8)=2 c=? The functions y=x^2+(c/x^2) are all solutions of equation: ...
The value of the constant c is -3968.
How to find the value of c?The given differential equation is\(y = x^2 + (c/x^2)\), and we need to find the value of the constant "c" such that the solution satisfies the initial condition y(8) = 2.
Substituting x = 8 into the equation, we have:
y(8) = \(8^2\) + (c/\(8^2\))
= 64 + (c/64)
To satisfy the initial condition y(8) = 2, we equate the expression above to 2:
64 + (c/64) = 2
Subtracting 64 from both sides:
c/64 = 2 - 64
c/64 = -62
To isolate "c," we multiply both sides by 64:
c = -62 * 64
c = -3968
Therefore, the value of the constant "c" that produces a solution satisfying the initial condition y(8) = 2 is c = -3968.
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Using lpt priority would result in what sequence for jobs a, b, c, and d if their process times are 4, 6, 5, 2 respectively?
The job with the longest process time is scheduled first, followed by the next longest, and so on.
Using the LPT (Longest Processing Time) priority, the sequence for jobs a, b, c, and d with process times 4, 6, 5, and 2 respectively would be:
1. Job b (6 units)
2. Job c (5 units)
3. Job a (4 units)
4. Job d (2 units)
The LPT priority rule arranges the jobs in decreasing order of their process times. So, the job with the longest process time is scheduled first, followed by the next longest, and so on.
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Which of the following lists of ordered pairs is a function?
A. (0,4),(1,2).(1,0). (2,3)
B. (1,7).(2,5),(3,6), (4,1)
C. (3,-2).(2-1).(3,4),(4,7)
D. (2,5), (3,8). (4, 11),(4,12)
Answer:
B
Step-by-step explanation:
When looking at cordinate points for functions, to be a function, the X-Values cannot come up more than once. B is the only one where there is no repeating X-value, so it is a function.
Hope this helps!!
Which graph represents a function?
Answer:
The answer to this is the last one, the on all the way at the bottom.
Step-by-step explanation:
This is because no 2 coordinates/points line up.
value of YZC in the follow
Answer:
URMMM WHERE IS THE DIAGRAM...
Let csc(x) = five-thirds, where 0° < x < 90°. which expression has a value of three-fourths? sec(x) cos(x) cot(x) tan(x)
The trigonometric expression that has a value of three-fourths is; tan (x)
How to solve Trigonometric ratio problems?The basic trigonometric ratios are;
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
sec x = 1/cos x
csc x = 1/sin x
cot x = 1/tan x
Thus;
If csc x = 5/3, it means that;
sin x = 3/5
By trigonometric ratios, we know that;
cos x = 4/5 and tan x = 3/4
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Find the area of the figure.
13 m
6 m
8 m
4 m
4 m
area:
m2
Answer:
8m
Step-by-step explanation:
Ivan scored 370 points by collecting 2 coins. In all, how many coins does Ivan have to collect to score a total of 1,110 points? Assume the relationship is directly proportional.
The number of coins that has to be collected to have a total score of 1,110 is 6.
How many coins does Ivan have to collect?The relationship between two variables are directly proportional, if the two variable move in the same direction. If one of the variables increases, the other variable increases. If one of the variables decreases, the other variable decreases.
The equation that is used to represent direct proportion is:
y = kx
Where:
y = dependent variable = points scoredk = constant x = independent variable = number of coins collected370 = 2k
k = 370 / 2
k = 185
110 = 185x
x = 1110 / 185
x= 6
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Help ASAP!!what is the difference of 2 2/5? what can be the equation
Answer:
Step-by-step explanation:
2 is a whole number and in 2/5 5 is the whole. so 2/5 is like saying you need 5 cups but there is already 2 there :)
solve (sin x - 1) (cos x - 1/2) = 0 where 0 x 2pi
To solve the equation \((\sin x - 1)(\cos x - \frac{1}{2}) = 0\) over the interval \(0 \leq x \leq 2\pi\), we need to find the values of \(x\) that make the equation true. This involves finding the values of \(x\) for which either \(\sin x - 1 = 0\) or \(\cos x - \frac{1}{2} = 0\).
We can solve the equation by considering each factor separately:
1. If \(\sin x - 1 = 0\), then \(\sin x = 1\). This occurs when \(x = \frac{\pi}{2}\).
2. If \(\cos x - \frac{1}{2} = 0\), then \(\cos x = \frac{1}{2}\). This occurs when \(x = \frac{\pi}{3}\) or \(x = \frac{5\pi}{3}\).
Therefore, the solutions to the equation \((\sin x - 1)(\cos x - \frac{1}{2}) = 0\) over the interval \(0 \leq x \leq 2\pi\) are \(x = \frac{\pi}{2}\), \(x = \frac{\pi}{3}\), and \(x = \frac{5\pi}{3}\). These are the values of \(x\) that make the equation true by satisfying either \(\sin x - 1 = 0\) or \(\cos x - \frac{1}{2} = 0\).
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To solve the equation ((\sin x - 1)(\cos x - \frac{1}{2}) = 0\) over the interval (0 \leq x \leq 2\pi\), we need to find the values of (x\) that make the equation true. This involves finding the values of (x\) for which either (\sin x - 1 = 0\) or (\cos x - \frac{1}{2} = 0\).
We can solve the equation by considering each factor separately:
1. If (\sin x - 1 = 0\), then \(\sin x = 1\). This occurs when (x = \frac{\pi}{2}\).
2. If (\cos x - \frac{1}{2} = 0\), then \(\cos x = \frac{1}{2}\). This occurs when (x = \frac{\pi}{3}\) or \(x = \frac{5\pi}{3}\).
Therefore, the solutions to the equation ((\sin x - 1)(\cos x - frac{1}{2}) = 0\) over the interval (0 \leq x \leq 2\pi\) are (x = \frac{\pi}{2}\), (x = \frac{\pi}{3}\), and \(x = \frac{5\pi}{3}\). These are the values of (x\) that make the equation true by satisfying either (\sin x - 1 = 0\) .
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Woof woof dog school offers dog training classes. During this session 7 puppy's were enrolled for 4 adult dogs enrolled.how many total dogs were enrolled for this session
the answer is 28
because 4 x 7 is 28
You invested 12,000 in an account at 2.3% compounded monthly. How long will it take you to get to 20000
It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).
How the period is determined:The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.
I/Y (Interest per year) = 2.3%
PV (Present Value) = $12,000
PMT (Periodic Payment) = $0
FV (Future Value) = $20,000
Results:
N = 266.773
266.73 months = 22 years and 3 months (266.73 ÷ 12)
Total Interest = $8,000.00
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What is the value of 3x squared when x = 2?
Answer:
Step-by-step explanation:
\((3x)^{2}\)=\((3(2))^{2}\) =36
(OR)
3(\(x^{2}\))=3(4)=12
Its depend on your sentence structure, what u r asking!!
The value of 3x squared when x = 2 is 36.
Given expression \((3x)^2\).
We have to calculate the value of this at \(x=2\).
Now putting the value of x in the expression we get,
\((3\times2)^{2}\)
Or,\(6^{2}\)
\(36\)
Hence the value of \((3x)^2\) at \(x=2\) will be 36.
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help me please !! I'm panicking I need help please.
help pls just one question !!!
Answer:
t > 30
Step-by-step explanation:
In terms of t, Lena's exercise time can be described by "t is more than 30". In math terms, that's the same as "t is greater than 30":
t > 30
Answer:
T>30
Step-by-step explanation:
Time is more then 30
She exercise more than 30 minutes per day.
dilate figure ABCD by a cale factor of 3 with the center of dilation at the origin
the slope of A'B' is= 1.2 ,The length of A'C' in triangle is = 3q unit.
When we dilate a triangle and the center of the dilation is at the center of the triangle, the only thing that changes are the coordinates of the summits of the triangle.
The angles remain the same, so do the slope.
So, since the slope of AB is equal to -1.2, the slope of A'B' will also be -1.2.
They say the dilation factor was 3, that means the length of every side was multiplied by 3. So, if the length of AC is q units, the length of A'C' is 3q units.
The complete question is-
ΔABC is dilated by a scale factor of 3 with the origin as the center of dilation to form ΔA′B′C′. The slope of AB is -1.2. The length of AB is p units, the length of AC is q units, and the length of BC is r units.
The slope of AB is (?). The length of is (?) units.
the slope of AB is?
A. 1.2 B. -1.2 C. -3.6
The length of AC is ?
A. 1/3q
B. 3q
C.-1.2p
D. (p+q+r)
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If you had worked on an externship in a prosecutor’s office, and then you moved to another state, which of these legal support positions would be best suited for?
Haven worked on an externship in a prosecutor’s office, the legal support position which you would be best suited for is: paralegal.
What is paralegal?Paralegal can be defined as a person who has been trained in subsidiary legal matters (issues), but not fully qualified to act as an attorney or lawyer.
In this context, we can infer and logically deduce that paralegal is a legal support position which you would be best suited for a person who has worked on an externship in a prosecutor’s office.
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Complete Question:
If you had worked on an externship in a prosecutor’s office, and then you moved to another state, which of these legal support positions would be best suited for?
mediator
paralegal
legal secretary
court reporter
There's a rhombus with sides, 2x + y + 1, 1.5x - 0.5y - 1 and x-y, find the perimeter
Answer :59.9
Step-by-step explanation: