Answer:
15miles//hr
Step-by-step explanation:
From the question, we are given;
Distance covered by Paola = 3/5 miles
Time = 1/25 of an hour
Speed = Distance/ time
Substitute
Speed = (3/5)/(1/25)
Speed = 3/5 * 25/1
Speed = 3 * 5
Speed = 15
Hence Paola's running speed in miles per hour is 15miles/hr
The little town fine arts center charges $24 per adult and $14 per senior citezen for its performance. On recent weekend evening when the number of seniors was 167 more than the number of adults who paid admission, the total receipts were $8722. How many who paid were senior citizens
Answer:
Step-by-step explanation:
The little town fine arts center charges $24 per adult and $14 per senior citezen for its performance. On recent weekend evening when the number of seniors was 167 more than the number of adults who paid admission, the total receipts were $8722. How many who paid were senior citizens
Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket
Step-by-step explanation:
Let x be the price of an adult ticket.
Then 0.5x is the price of a child ticket.
We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.
Hence the price of an adult ticket is £38.
Answer:
Step-by-step explanation:
2a+4c=152
2c=a
4c+2a=152
2c-a=0
Use simultaneous equation
Substitute 2c=a
c=a divided by 2 in the first equation and find value of a and c
I cant solve this question :(
Answer:
a) tan x = 1
b) tany = 4 + tanx /2tanx - 3
Step-by-step explanation:
a) Given the equation
2(sinx + 2cosx) = sinx +5cosx
Open the bracket
2sinx + 4cosx = sinx +5cosx
Collect like terms
2sinx - sinx = 5cosx - 4cosx
sinx = cos x
Divide both sides by cos x
sinx/cosx = cosx/cosx
tanx = 1
Hence the value of tan x is 1
b) Given the expression
sinxcosy + 3cosxsiny = 2sinxsiny - 4cosxcosy
We are to express tany in terms of tan x
Divide through by cosx cosy
sinxcosy/cosx cosy + 3cosxsiny/cosx cosy = 2sinxsiny/cosx cosy - 4cosxcosy/cosx cosy
sinx/cosx + 3siny/cosy = 2tanxtany - 4
tanx +3tany = 2tanxtany - 4
Collect like terms
tanx - 2tanxtany = -4 - 3tany
- 2tanxtany+3tany = -4 - tanx
tany (-2tanx+3) = -4 - tanx
tan y = -4 - tanx/-2tanx+3
tan y = -(4+tanx)/-(2tanx-3)
tany = 4 + tanx /2tanx - 3
Hence the function of tany in term of tan x is tany = 4 + tanx /2tanx - 3
look at picture i need help
2-3 Additional Pracitce
Parallel Lines and Triangle Angle Sums
Exercises 13-15
Answer:
13. The measure of a is 35°
14. The measure of b is 74°
15. The measure of c is 66°
Step-by-step explanation:
In the given figure
13.
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ 33° + 112° + a = 180°
→ Add the like terms in the left side
∴ 145° + a = 180
→ Subtract 145° from both sides
∵ 145° - 145° + a = 180° - 145°
∴ a = 35°
14.
∵ a, 71° and b formed a straight line
∵ The sum of the measures of the linear angles is 180°
∴ a + 71° + b = 180°
→ Substitute the value of a
∴ 35° + 71° + b = 180°
→ Add the like terms in the left side
∴ 106° + b = 180°
→ Subtract 106° from both sides
∵ 106° - 106° + b = 180° - 106°
∴ b = 74°
15.
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ 43° + 71° + c = 180°
→ Add the like terms in the left side
∴ 114° + c = 180°
→ Subtract 114° from both sides
∵ 114° - 114° + c = 180° - 114°
∴ c = 66°
Jon went to a restaurant and gave a 20% gratuity of $15 on the meal. How much was the original amount of the bill?
Answer:
$75
Step-by-step explanation:
$15 divided by 0.2 = $75
0.2 = 20%
A publisher wants to know the thickness of a new book.
The book has a front cover and a back cover, each with
a thickness of į of an inch.
The paper has a thickness of inch per 100 pages.
Write an equation that represents the total width of the
book, y, for every 100 pages of paper, X.
Answer:
200
Step-by-step explanation:
because,they said that they
I need help please
Answer:
9/4 ÷ 3/2
Step-by-step explanation:
2 1/4 = 9/4
evaluate n²+5 when n=3
Answer:
14
Step-by-step explanation:
When you sqaure a number you multiply it by itself once so it would be (3x3) + 5. Rmemeber PEMDAS, so you multiply 3x3 first to get 9 and then you add 5 to get 14.
When solving equations we always undo the addition or subtraction first.
true
false
Which expression is equivalent to (3/x-2) -5 divided by 2-(4/x-2) ?
a. 2x-8/13-5x
b. -5x-8/2x-8
c. -5x-4/x-2
d. 13-5x/2x-8
Answer: I it’s D
Step-by-step explanation:I did the assignment
A sheet of 28 stickers has star and heart stickers. There are 16 heart stickers. How many heart stickers does a pack of 140 stickers have? Choose equivalent ratios to show your reasoning. __ heart stickers; __ = __ fractions and numbers to drag: 60, 80, 12/28, 60/140, 80/140, 16/28, and 12
Answer:
80 heart stickers does a pack of 140 stickers
Step-by-step explanation:
The number of heart stickers in a pack of 140 stickers is 60.
Given that, a sheet of 28 stickers has star and heart stickers.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, the number of star stickers in a sheet
= 28-16 =12
The ratio of star and heart stickers
= 12:16
= 3:4
Now, 3+4=7
Number of heart stickers = 3/7 ×140
= 60
Therefore, the number of heart stickers in a pack of 140 stickers is 60.
To learn more about the ratio visit:
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Sasha has a 35% off coupon. Her total before tax came to $23.00. How much did the item originally cost? (round to the nearest hundreds) PLS help!! (middle school and pls show work)
Answer:
The original cost of the product was $35.68.
Step-by-step explanation:
As Sasha has a discount coupon of 35%, the final amount that he will pay is 65% of the initial value of the product (100 - 35). Thus, 65% of the value is $ 23. Therefore, to determine the initial cost of the product, it is necessary to perform the following calculation:
65 = 23
100 = X
((100 x 23) / 65) = X
2,300 / 65 = X
35.68 = X
Therefore, the initial value of the product was $ 35.68.
My you pls answer this questions
Step-by-step explanation:
hlejsjsisjdjsisjsjsjsjsjsisjsnsjssjjsjsjs as
The measures of the angles of a triangle are shown in the figure below. Solve for x. 4
I AM OFFERING FREE TUTORING. I am in algebra two so i can help with almost all math up to that. If you are in a higher math but you need help, just lmk and give me a day or so (or at least a couple hours) with what you need help with and i can study some material and try my best to help you. just comment on this or answer it and lmk when and for what you need help with.
Happy holidays everyone and stay safe!!
Answer:
Hi again! Hope you are well. Could you help me with this? One of them is wrong but I can't figure out which one.
The record low temperature in Kansas is -40°F. The record low temperature in Florida is -2°F. What is the difference between the two states' record low temperatures?
find an equation of the line that is perpendicular to the line y=5x+6 and passes through the point (-2,5)
workings pls
Answer:
[tex]5y=-x+23\\[/tex]
Step-by-step explanation:
Since the equation of the line is perpendicular to the line y = 5x +6
we can use the formula:
[tex]m_1m_2=-1\\[/tex]
where m1 is the slope of the line we have and,
m2 is the slope of the line we need
so here m1 is 5 as we compare it with the slope-intercept form our slope is:
[tex]y=5x+6\\y=mx+b[/tex]
our m1 is 5 but we need m2 so plugging in the value we get m2 to be:
[tex]m_1m_2=-1\\5m_2=-1\\m_2=-1/5\\[/tex]
and now we have our m2, now furthermore since the line passes through the point (-2 , 5) it means the point must lie on the line and satisfy it. We can use this point and the slope m2 and find out the equation by the point-slope form equation:
[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{5}(x-(-2))\\\\5(y-5)=(-1)(x+2)\\5y-25=-x-2\\5y=-x-2+25\\5y=-x+23\\[/tex]
Software on your computer is taking a long time to load. What could help solve this problem? Close and reopen the program. Delete the program from the computer. Open a different program instead. Select the program icon again.
Answer: I think is close and reopen the program
Step-by-step explanation:
The option for problem is Close and reopen the program.
What is software?Software is a set of instructions for a computer to follow. The entirety of a computer system's programs, procedures, and routines are referred to as software. The term was developed to distinguish these instructions from hardware—for example, a computer system's physical components. A software program is a set of instructions that tell a computer's hardware how to do something.
System software and application software are the two most common types of software. A computer's internal operation is primarily controlled by an operating system, but system software also controls monitors, printers, and storage devices.
Given Software on computer is taking a long time to load,
There are a few simple solutions for programs that take a long time to open:
Restart your computer, Scan for viruses and malware with Windows Defender or another antivirus program. Use System File Checker to fix the slowness. And Close and reopen the program.
Hence Verify that each and every option for utilizing the software is functional, Close and reopen the program.
Learn more about software;
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Can somebody plz help answer all the questions correctly thanks!
(Only if u know how to do this)
WILL MARK BRAINLIEST WHEOEVER ANSWERS FIRST :DD
Answer:
%50
%-15
%40
%62.5
%27.5
%60
Step-by-step explanation:
Harold can buy 2 pounds of bananas for $7. Write an equation to represent the cost, c , for b bananas.
The equation representing the situation is c = 3.5b
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Harold can buy 2 pounds of bananas for $7.
Since, he can buy 2 pounds in $7 so, 1 pound in = 7/2 = $3.5
So, when he will buy b pounds of bananas he will spend = $3.5b
So, if c is the total cost for b pounds of bananas, then the equation representing the total cost for b pounds of bananas will be,
c = 3.5b
Hence, c = 3.5b is the equation that represent the cost, c, for b bananas.
For more references on equations, click;
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I need help on this and that’s it!
Answer: 22 mor packages.
Give me brainlyest please.
Step-by-step explanation:
Answer this please!!!
During what times is Ann stopped? Give a reason to support your answer
whenever the line drops to the bottom of the graph the reason is because her speed drops to 0
Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
4 hours
6 hours
12 hours
O 16 hours
5/6 x 2/2 multiply to find equivalent fractions
Answer:
5/6 = 1/3
Step-by-step explanation:
Answer:5/6 times 2/2 = 5/6
Step-by-step explanation:
what is 0.8w+3.6 factored
Answer:
4(0.2w + 0.9)
I need help i'm not that good at this stuff.
Answer: 40
Reason: Okay, so we can see that the line is travelling in a straight line. When we look closely at the graph, we can see that for every two minutes, it makes 80 bottles, and so on and so fourth. We know it makes 80 bottles in two minutes, so let's divide it by two to find out how many bottles it makes in one minute. (Equation for this = 2x = 80) After dividing, we find out that the machine makes 40 bottles per minute
Check: 40 bottles, and multiply it by 2, and we get 80 bottles per two minutes, and that's correct.
I hope this helps, and Happy Holidays!
Determine the number of lines of symmetry for the figure
pls hellpppp meee brainly
Answer:
A
Step-by-step explanation:
9x4=36
36+7=43
Complete the recursive formula of the arithmetic sequence 20, 26, 32, 38, ....
Answer:
a(1) = 20 or 14. Does Khan say that the first term of the sequence shown is the 1'st term or not.
a(n) = a(n-1) + 6
If not correct then I'm sorry
Step-by-step explanation:
Answer:
a(1) = 20
a(n) = a(n-1) + 6
Step-by-step explanation:
