Answer:
(205-9x) times15
Step-by-step explanation:
The expression the total monthly revenue of Theodore and Sarah's business is (205-9x)15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.
The expression will be written as,
E = (205-9x)15.
Therefore, the expression the total monthly revenue of Theodore and Sarah's business is (205-9x)15.
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3x+2y=5
What is the y and x intercept and can i get a step by step explanation
Answer:
the slope is -3/2, and the y-intercept is 5/2.
Step-by-step explanation:
3x + 2y = 5
putting it into a y = mx+b form,
2y = -3x + 5
y = -3/2x + 5/2
the slope is -3/2, and the y-intercept is 5/2.
Answer:
y-intercept= 2.5
x- intercept= 1.666666666..... or 5/3
Step-by-step explanation:
1. Move variable to other side.
3x+2y= 5
-3x -3x
2y= -3x+5
2. Divide each side by 2.
-3/ 2 = -1.5
5/2 = 2.5
y= 1.5x+2.5
y= mx+b
b= y-intercept
b=2.5
3. Replace y with 0 to solve for x intercept.
3x+ 2 x 0 = 5
3x= 5
5/3 = x
Identify the y-intercept of the graph of the equation.
Answer:
3
Step-by-step explanation:
the y intercept is were x=0
A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.
It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
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A bank promises to pay 5.5% pa compound interest on
deposits of £2337 if saved for 3 years. How much will the
savings be worth at the end of the period mentioned? Write
your answer correct to 2 decimal places.
Answer:
Answer:
£407.20Step-by-step explanation:
Deposit = £2337Interest = 5.5% pa compound Time = 3 yearsSavings:
2337*((1 + 5.5/100)^3 - 1) = 2337*((1.055)^3 - 1) =407.20The image of the point (1, -3)(1,−3) under a translation is (-4, -2)(−4,−2). Find the coordinates of the image of the point (-3, 7)(−3,7) under the same translation.
Answer:
The new points under the translation are (-8,8) and (-8,8)
Step-by-step explanation:
The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw
Solve for x
7x = 2
Give your answer as a fraction in its simplest form
Answer:
2/7
Step-by-step explanation:
7x/7=2/7
Simplify:Cancel terms that are both the numerator and denominator
Solution: 2/7
A pet store has 8 dogs, 12 cats, and 3 rabbits. The ratio 8:23 compares
Answer:
Step-by-step explanation:
the number of dogs to the number of total numbers.
8 dogs: 23 total animals.
means 8 of the 23 animals are dogs.
The ratio 8:23 represents 8 dogs out of total 23 animals.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Here, Total number of animals = 8 + 12 + 3
= 23 animals
Ratio given = 8 : 23
in which 8 represents the number of dogs and 23 represents total number of animals.
Thus, The ratio 8:23 represents 8 dogs out of total 23 animals.
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200 people buy plane tickets.
92 males buy tickets
30 of the males buy Business tickets
62 females buy Economy tickets
A total of 44 people buy Business tickets.
A total of 60 people buy Premium tickets.
How many males buy Premium tickets?
You must show all your working.
3. The diameter of a cylindrical column is 60cm and
its height is 4.2m
The cost of making it is £67.50 per cubic metre.
What is the cost of making it?
Answer:
£80.33
Step-by-step explanation:
The formula for the Volume of a cylinder = πr²h
The diameter of a cylindrical column is 60cm and its height is 4.2m
Converting the diameter to meter
100 cm = 1 m
60 cm = x
Cross Multiply
100 × x = 60 × 1
x = 60/100
x = 0.6m
The diameter of the cylinder = 0.6m
Radius = Diameter/2
Radius = 0.6m/2
Radius = 0.3m
Volume of a cylinder = πr²h
= π × 0.3² × 4.2
= 1.18752 m²
Approximately = 1.19 m²
The cost of making it is £67.50 per cubic metre. What is the cost of making it?
The volume of the cylindrical column = 1.19 m²
Hence:
1m² = £67.50
1.19m² = x
Cross Multiply
x × 1m² = 1.19 m² × £67.50
x = 1.19 m² × £67.50/1 m²
x = £ 80.325
Approximately = £80.33
Therefore, the cost of making the cylindrical column = £80.33
20% of____ is 15 ????
Answer:
The Correct Answer is 3
Step-by-step explanation:
[tex]-4 ( x + 1/16 )[/tex]
Answer:
-4x - 1/4
Step-by-step explanation:
-4(x + 1/16)
-4x - 1/4
Brianna bought snacks for her team's practice. She bought a bag of
oranges for $2.63 and a 8-pack of juice bottles. The total cost before
tax was $16.07. Write and solve an equation which can be used to
determine x, how much each bottle of juice costs?
Answer:
$1.68
Step-by-step explanation:
The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68
Hope this help :)
(6x10^6) / (2x10^3) solve?
Answer:
3x^999000
Explantiotn
0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
Plz help I don’t understand how to do this problem
Answer:
a) 6b) 3t² - 17t + 28c) 3t² - 5t - 2Step-by-step explanation:
Given function:
g(t) = 3t² - 5t + 4a) g(2)
g(2) = 3*2² - 5*2 + 4 = 3*4 - 10 + 4 = 12 - 6 = 6b) g(t - 2)
g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 = 3(t² - 4t + 4) - 5t + 10 + 4 = 3t² - 12t + 12 - 5t + 16 = 3t² - 17t + 28c) g(t) - g(2)
g(t) - g(2) = 3t² - 5t + 4 - 6 = 3t² - 5t - 2what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.
Answer: .10d+.25q<_ 4
Step-by-step explanation:
d= dimes and q = quarters
dimes are worth .10 and quarters are worth .25
The inequality for the given situation is
0.1d + 0.251 ≤ 4
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
10 dimes = 1 dollar
1 dime = 0.1 dollar
4 quarters = 1 dollar
1 quarter = 0.25 dollar
Now,
The maximum amount is $4.
So,
0.1d + 0.251 ≤ 4
Thus,
The inequality is 0.1d + 0.251 ≤ 4.
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1,092 inches to yards
Answer:
Step-by-step explanation:
It would be 30.33 repeating.
Answer:
30.33 yards
Step-by-step explanation:
36 inches to a yard, so divide the length value in yards by 36.
1092 / 36 = 30.33 yds
Help me please if you get it right brainless for you ^-^
Answer:
C
Step-by-step explanation:
I read it.
Answer:
Step-by-step explanation:
To increase Readers' interest.
Explanation: The similarity in this excerpt is that, The sun's disappearance after sunset is similar to the way an object disappears near a black hole.
Determine whether the triangles are similar.
similar it is just 3 times bigger but similar
Find the volume of a cylinder that has a diameter of 12 cm and a height of 5
cm. Use 3.14 for pi and round to the nearest tenth. *
Answer:
V≈565.5cm³ is the answer
PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!
When the original price and discounted prices are known, how can we find the percent markdown?
Step-by-step explanation:
The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.
what is m
picture below!!Answer:
Please check the explanation.
Step-by-step explanation:
We know that a pentagon is a polygon with 5 sides and 5 angles.
Given the polygon with 5 angles.
A pentagon is a polygon with 5 sides and 5 angles.
The angles of the given pentagon are:
∠P = (4x + 2)°
∠Q = 132°
∠R = (4x - 10)°
∠S = (5x - 11)°
∠T = 128°
We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.
Therefore,
∠P + ∠Q + ∠R + ∠S + ∠T = 540°
(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°
group similar elements
4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
simplify
13x + 241 = 540
subtract 241 from both sides
13x + 241 - 241 = 540 - 241
13x = 299
divide both sides by 13
13x/13 = 299/13
x = 23
Thus, the value of x = 23
Therefore, the measure of angle ∠S is:
m∠S = (5x - 11)°
= (5(23) - 11)°
= (115 - 11)°
= 104°
Thus,
m∠S = 104°
The eggs of a certain insect hatched after heavy rain. The population of these insects can be modeled by the expression 192 times (2)^x-5.
Answer:
someone answer this pls
Step-by-step explanation:
Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
Which of the equations are true identities? A. n(n –2)(n + 2) = n³ – 4n B. (x + 1)² – 2x + y² = x² + y² + 1 Choose 1 answer: Only A Only B Both A and B Neither A nor B
Answer:
a+b
Step-by-step explanation:
both are true identities
Find the formula for the nth term of these sequences:
(a) 2, 5, 10, 17, 26, …….
(b) 4, 10, 20, 34, 52, ………
Part of a geometric sequence is given below:
,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,
Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.
Second term is -1, and the fifth term is 64. Calculate:
(a) The common ratio (r)
(b) The value of the first term (a) or u₁
(c) The value of the 10th term.
I need it by today!! and please for the people who type to get points please dont do it with me
A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?
What is 5884 diveded by 94?
Answer:
62.5957447
Step-by-step explanation:
= 62 R 56
= 62 56/94
= 62 28/47
Answer:
The answer is 62.6
Step-by-step explanation:
5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.
Answer:
it hard too
Step-by-step explanation:
it's hard also so
Answer: 180
an = a1 + (n - 1)d
a1 = 6 [1st term]
d = 4 [common difference]
n = 30 [30th term]
a30 = 6 + (30 - 1)*6 = 180
The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).
Answer:
Its reflected over the y axis
