Answer:
c = 5 and t = 20
Step-by-step explanation:
t = 2c + 10, t = 4c
so
2c + 10 = 4c
-2c = -10
c = 5
t = 4(5)
t = 20
Answer:
c=5 t=20
Step-by-step explanation:
Solve the equation -2(y - 1) = 9.
[tex]-2(y - 1) = 9\ /:(-2)\\y-1=-4.5\\y=-4.5+1\\y=-3.5[/tex]
help me! or i will have to retake my whole math semester over.
Answer:
Answer: g(x) = 32x - 7
Step-by-step explanation:
A vertical stretch is accomplished by multiplying by a constant greater than 1
So f(x) would be multiplied by 4 to get part of g(x)
4*f(x) = 4*8x = 32x
Now to get 7 units down subtract 7 from f(x)
4f(x) - 7= 32x - 7 Down is minus.
Answer: g(x) = 32x - 7
In a sale, a table costing £160 is reduced in price by 25%. What is the new price? How do you work this out?
Answer:
£120
Step-by-step explanation:
First calculate 25% of £160 then subtract this from the £160.
25% of 160 = 25/100 * 160
= 1/4 * 160 = £40.
£160 - £40 = £120 (answer).
Answer:
The answer is $120
Step-by-step explanation:
First you must find 25% of $160
First, I found out what is 25% of 16
Next, made 25% = 1/4
Then, 1/4 of 16 is also 16 divided 4 and you will get 4
Then, you add the zero on the back and make it $40
Finally, subtract 40 from 160 and that will be your answer
160 - 40 = $120
A store offers 20% off all items. If x is the original purchase price, which expression represents the final price with the discount? Select all that apply.
A. 1.2x
B. 0.8x
C. x
D. x – 0.2x
E. x + 0.2x
Answer:
B & D
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.
We can find the percent off by multiplying the price by the percent conversion. So 20% is 0.20. Then subtract it from the original price to find the leftover that we pay. This is x-0.2x.
Answer:
B and D
Step-by-step explanation:
The Mt. Aconcagua is 22,834ft tall and Mount Everest is 29,035 feet tall. And he climbed both mountains in two years how many feet of mountains did he climb
Answer:
51869 ft
Step-by-step explanation:
If he climbed both mountains, then we add the heights together
22834 + 29035
51869 ft
Answer:
51,869 ft
Step-by-step explanation:
Add the two heights.
22,834 ft + 29,035 ft = 51,869 ft
Predict which statements are true about the intervals of the continuous function. Check all that apply.
Answer:
the answer is:
b
d
e
Functions are used to show relationships between variables. The true statements are:
f(x) ≤ 0 over the interval [0, 2].f(x) > 0 over the interval (–2, 0).f(x) ≥ 0 over the interval [2, [tex]\infty[/tex])I've added as an attachment, the table of values of f(x)
Next, we test the given options
(a) f(x) > 0 over the interval ([tex]-\infty[/tex], 3).
Using the table of f(x), the values in ([tex]-\infty[/tex], 3) are values less than 3; i.e. -3 to 2.
If f(2) = 0, then f(x) > 0 is not true
(b) f(x) ≤ 0 over the interval [0, 2].
The values in [0, 2] are values from 0 to 2; i.e. 0, 1 and 2.
If f(0) = 0, f(1) = -3 and f(2) = 0
Then, f(x) ≤ 0
(c) f(x) < 0 over the interval (−1, 1).
Using the table of f(x), the values in (-1, 1) are values between -1 and 1; i.e. 0
If f(0) = 0, then f(x) < 0 is not true
(d) f(x) > 0 over the interval (–2, 0).
Using the table of f(x), the values in (-2, 0) are values between -2 and 0; i.e. -1
If f(-1) = 3, then f(x) > 0 is true
(e) f(x) ≥ 0 over the interval [2, [tex]\infty[/tex])
Using the table of f(x), the values in [2, [tex]\infty[/tex]) are values from 2; i.e. 2 and 3
If f(2) = 0 and f(3) = 15, then f(x) ≥ 0 is true
Hence, the true statements are:
f(x) ≤ 0 over the interval [0, 2].f(x) > 0 over the interval (–2, 0).f(x) ≥ 0 over the interval [2, [tex]\infty[/tex])Read more about functions over interval at:
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State the amplitude and period of f(x)= -3 sin t
Answer:
The period is [tex]2\pi[/tex] and the amplitude is 3.
Step-by-step explanation:
The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.
The period of the function [tex]y=a\sin (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]
Consider the function [tex]f(t)=-3\sin t.[/tex]
The period for the function [tex]f(t)[/tex] is
[tex]T=\dfrac{2\pi}{1}=2\pi[/tex]
and the amplitude is 3.
What is the reason for step 5?
Answer: Alternate Interior Angles Theorem (choice B)
If you have two parallel lines, and cut them with a third line, then you'll form two pairs of alternate interior angles. Alternate interior angles are angles that that are on the inside of the parallel "train tracks", but they are on opposite sides of the transversal line.
Write the ratio as a percent
In the small country of varia a bill becomes law only if 34/50 of the senators approve it
53%
66%
68%
84%
Answer:
68%
Step-by-step explanation:
Percent means out of 100, so lets see if we can change the fraction to have a denominator of 100
34/50 * 2/2 = 68/100
This is 68%
Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.
(a) Write a system of equations for the situation. Use s for the amount Sam earned and k for the amount Kevin earned.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each person earned
pls hurry
Answer:
(a)
system of equations are
[tex]s+k=425[/tex]
[tex]k-s=25[/tex]
(b)
Graph is attached
(c)
Sam earned =$200
Kevin earned =$225
Step-by-step explanation:
Let's assume
's' for the amount Sam earned
'k' for the amount Kevin earned
(a)
Together they earned a total of $425
so, we get
[tex]s+k=425[/tex]
Kevin earned $25 more than Sam
so, we get
[tex]k=s+25[/tex]
so, system of equations are
[tex]s+k=425[/tex]
[tex]k-s=25[/tex]
(b)
now, we can draw graph
(c)
intersection point will be our solution
and we got intersection point as
(200, 225)
so,
s=200
k=225
(a) The system of equations for the situation is s + k = 425 and k = s + 25.
(b) Graph these equations to find their point of intersection.
(c) Using the graph, estimate that Sam earned around $200, and Kevin earned around $225.
(a) To write a system of equations for this situation, we can use the information provided:
1. Sam and Kevin earned a total of $425, which can be expressed as:
s + k = 425
2. Kevin earned $25 more than Sam:
k = s + 25
So, the system of equations is:
1. s + k = 425
2. k = s + 25
(b) To graph these equations, you can rearrange them into slope-intercept form (y = mx + b), where y represents one of the variables (s or k) and x represents the other variable.
From equation 2, we can rewrite it as k = s + 25, which can be expressed as k = 1s + 25.
Now, the system is represented as:
1. s + k = 425
2. k = s + 25
You can graph these equations on a coordinate plane.
(c) Once you graph the equations, you can look for the point of intersection, which represents the solution to the system and gives you the values of s and k. The point where the two lines intersect will provide estimates for how much Sam and Kevin earned. Using the graph, estimate that Sam earned around $200, and Kevin earned around $225.
Learn more about system of equations here:
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Write the ratio to compare
Answer:
12/24
Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.
12:24 or
[tex]\frac{12}{24}[/tex] or
0.5 as a decimal.
If f(x)=x+7 and g(x)=1/x-13 what is the domain of (f times g)(x)
[tex](f\cdot g)(x)=f(x)\cdot g(x)\\\\\text{We have}\ f(x)=x+7\ \text{and}\ g(x)=\dfrac{1}{x-13}.\\\\\text{Substitute}\\\\(f\cdot g)(x)=(x+7)\cdot\dfrac{1}{x-13}=\dfrac{x+7}{x-13}\\\\\text{The domain:}\\\\x-13\neq0\qquad\text{add 13 to both sides}\\\\x\neq13\\\\Answer:\ \boxed{x\in\mathbb{R}-\{13\}}\to\boxed{\text{All real numbers except 13}}[/tex]
Find the value of X
Anyone think they can help me with this?
Answer:
x = 15
Step-by-step explanation:
The segment that is x units long is the midsegment of the largest triangle. The midsegment is half as long as the line parallel to the midsegment. It is half as long as the 30 unit long segment.
Note how the vertical sides (marked with the double tickmarks) are congruent to one another. The smaller pieces are both the same length, so they combine to something twice as big. Go in reverse: one segment with a pair of double tickmarks is exactly half as long as the entire vertical side. The same can be said about the horizontal sides as well.
Last year is a winter coat cost $175 this year the price increase 15% what is the new price
Answer:
The new price of the coat is $201.25
Step-by-step explanation:
The price will be higher since this is an increase.
Percent increase = (new price - old price) / old price
Substituting what we know
.15 = (new price -175)/175
Multiplying each side by 175
.15*175 = new price by 175
26.25 = New price-175
Add 175 to each side
26.25+175 = new price-175+175
201.25 = new price
The new price of the coat is 201.25
Final answer:
The new price of the winter coat after a 15% price increase on the original price of $175 is $201.25.
Explanation:
To find the increase, we need to calculate 15% of $175:
Increase = 15% of $175
= 0.15 * $175
= $26.25
Calculate the New Price:
To find the new price, we add the increase to last year's price:
New Price = Last Year's Price + Increase
= $175 + $26.25
= $201.25
Therefore, the new price of the winter coat after a 15% increase is $201.25.
To amend the u.s constitution 3/4 of the states must approve the amendment. If 35 states approve an amendment will the constitution be amended
Answer:
No
Step-by-step explanation:
So first, you need to divide the number of states voting by the number total, so 35/50= 0.7. Then you need to complete the original fraction and turn it into a decimal: 3/4 = 0.75
So 35 states = 0.7 and 3/4 = 0.75, so there are 0.05, or 5% of the states missing to Amend the Constitution.
Answer:
A 75 percent vote of congress is required for to amend the consitution.
Step-by-step explanation:
Which equation represents the line that passes through (-8,11) and (4, 7/2)?
Answer:
The equation of the line would be y = -15/24x + 6
Step-by-step explanation:
In order to find the equation of the line, you need to start by using the slope formula with the points given. This will give you the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 7/2)/(-8 - 4)
m = (15/2)/-12
m = 15/-24
m = -15/24
Now that we have the slope, we can use that and either point to find the equation in point-slope form.
y - y1 = m(x - x1)
y - 11 = -15/24(x + 8)
y - 11 = -15/24x - 5
y = -15/24x + 6
Answer:The answer on ed is y= -5/8x + 6
Step-by-step explanation:
Evaluate the expression XY FOR X=8 and Y=4
Answer:
32
Step-by-step explanation:
XY means x times y
and x = 8 or x is 8
and y = 4 or y is 4
so 4 times 8 is 32
so
XY = 32
Pls help me: brainliest, rattings, and thanks
Four friends go out to lunch and decide to split the bill evenly. The bill comes to $46.64. How much does each person owe?
$15.55
$9.33
$11.66
$12
Answer:
11.66
Step-by-step explanation:
You have to divide 46.64 by four since there are four of them paying it evenly.
Answer:
11.66
Step-by-step explanation:
46.64/4= 11.66
I used desmos calculator to help me find this.
Hope this helps!
What is the missing number in the synthetic division problem below?
Answer:
D, which is 7.
Step-by-step explanation:
if you notice that -2+4= 2, and 4+14= 18, you can make an educated guess.
The missing number in the given synthetic division problem is 7 hence, option (D) is correct.
What is synthetic division?The synthetic division used to divide a polynomial by any expression in that expression should be the leading coefficient as one.
Given that in problem first term has written as it is.
Then multiply 2 with 2 and add 4 with -2.
Again multiply 2 by 2 and add with 3 which gives 7.
Hence 7 will be the missing number in the given problem.
For more information about synthetic division.
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Patrick bought the 10 stamps shown at the right.
What is the height of a single stamp? Show your work
Answer:Part A 1.1 and Part B .75
Step-by-step explanation:
2.2 divided by 2 is 1.1
3.75 divided by 5 is .75
Answer:
Part A: 1.1 Part B: 0.75
Step-by-step explanation: For part A it's 1.1 because there's 2. stamps there and 1.1 + 1.1 = 2.2. For part A it's 0.75 because 3.75 divided by 5 is 0.75
Please Simplify 3x+2/7
the answer is 9x(to the power of 2)−42x+49
Please help, will give brainliest and thanks :) Please attach any thing if needed.
1. What is a tessellation, and how are transformations used to create a tessellation? Answer:
2. Which regular polygons tessellate? (List all.) Answer:
3. Consider your answer to Question 2. Why do these regular polygons tessellate while other regular polygons do not? Include a discussion of interior angles in your response. Also include an example of a regular polygon that would not tessellate and explain why it would not.
Answer:
4. Using your geometry software, create a regular tessellation. You may use color patterns to make the tessellation more visually interesting. Make a screenshot of your tessellation and paste it into this assignment.
In the space provided below, write a detailed explanation of the steps you followed to create your tessellation. A model worksheet and response have been provided for you. If you choose to tessellate the same regular polygon as the example provided, you must use different transformations from those used in the model.
Answer:
Answer:
First of all, I expect you fulfill your word and give what you promise... ha ha just kidding, I already solved a question like this one, please see below explanation.
1. Tessellation is the covering of a surface with pattern(s) of flat shapes so that there are no overlaps or gaps. It is also called Tiling.
2. Triangles, Squares, and Hexagons are regular polygons.
3. Previous three shapes create a regular tessellation pattern because all their sides and all their angles are the same. the intersection point of the interior angles is called "Vertex". For a regular tessellation, the pattern is identical at each Vertex.
Unlike the triangle and quadrilateral case, the Pentagon's angle sum of 540° is not helpful when trying to fit a bunch of Pentagons around a vertex. Therefore, even though the Pentagon is a regular polygon, it cannot tessellate.
4. See attached screenshot of 3 tessellations created with Tessellation Artist Software online.
can anyone help me to get the answer for listing 5 rational number btw-2 & -1
Answer:
-1.5, -1.6, -1.7, -1.8, -1.9
Step-by-step explanation:
A rational number is a number that can be written as the ratio of two integers.
-1.5 is a rational number between -2 and -1
-1.5 can be written as -15/10
-1.6 is a rational number between -2 and -1
-1.6 can be written as -16/10
1.7 is a rational number between -2 and -1
-1.7 can be written as -17/10
1.8 is a rational number between -2 and -1
-1.8 can be written as -18/10
1.9 is a rational number between -2 and -1
-1.9 can be written as -19/10
Answer and explanation plz ???
Answer:
25
Step-by-step explanation:
Formula
2xy + 1
Givens
x = 3
y = 4
Solve
2*(3)*(4) + 1
24 + 1
25
What is radius of circle P?
Answer:
I do believe the radius of P is PN
Question
What is radius of circle P?
Answer:
PNStep-by-step explanation:
MN is the diameter, so half diameter is the radius, PN is your answer (remember that PM is also a radius)
have to find the slope intercept of this
Answer: The graph y-intercept is 4. The equation in y=mx+b form is: y= (2/3)x + 4
Step-by-step explanation:
Using rise over run to find the slope, we can see the graph goes up 2 units and over 3 units, but however does not go through the origin but instead at y=4.
Answer:
The graph y-intercept is 4. The equation in y=mx+b form is: y= (2/3)x + 4
Step-by-step explanation:Using rise over run to find the slope, we can see the graph goes up 2 units and over 3 units, but however does not go through the origin but instead at y=4.
Hope this helps! Merry Christmas!!
What property is illustrated by the statement? 7 + (4 + 4) = (7 + 4) + 4
Answer:
Associative Property of Addition.
Step-by-step explanation:
It states that no matter how the numbers are ordered, the result will be the same. Feel free to look it up on google for more information :)
Answer:
The answer is Associative Property of Addition. Hope I helped!
arithmetic, geometric, or neither?
Answer:
1st) geometric
2nd) arithmetic
3rd) arithmetic
Step-by-step explanation:
Geometric = you multiply or divide to get the next term
Arithmetic = you add or subtract to get the next term
1st) you times by 3 to get next term = geometric
2nd) you add one to get next terms = arithmetic
3rd) you add 4 to get next term = arithmetic
PLEASE HELP ASAP!!!
Y = 5 x + 15
what do the slope and y intercept mean in the context of this problem?
hint: what do you pay when you step into the cab
Answer: slope is 5 and y-intercept is 15
Step-by-step explanation:
you pay 5 dollars each hour or whatever the time is and have to pay $15 to get in the cab. So the $15 is a must pay.
Answer:
You pay $5\time and must pay $15 to ride in it.
Elizabeth,frank,gary, and helen are getting in line to buy lunch in the cafeteria. How many different ways could they line up so that helen is first in line?
Answer:
Step-by-step explanation: the correct answer is definitely 6
Final answer:
With Helen fixed in the first position, there are 6 different ways Elizabeth, Frank, and Gary can line up behind her, computed by a permutation of the 3 remaining people.
Explanation:
If Helen is always the first in line, we just need to focus on the different ways Elizabeth, Frank, and Gary can line up behind her. For the first spot behind Helen, there are 3 choices (Elizabeth, Frank, or Gary). After choosing one, there are 2 remaining choices for the next spot, and finally, the last person will have no choice but to take the last remaining spot. This is a permutation problem where we multiply the different choices together.
Thus, the number of ways they can line up is 3 (for the second spot) imes 2 (for the third spot) imes 1 (for the last spot), which equals 6 different possible lineups.