Answer: -273
Step-by-step explanation:
This is an arithmetic progression and the formula to find the nth term is given as:
= a + (n-1)d
Therefore, the 100th term will be:
= a + (n-1)d
= a + (100 - 1)d
= a + 99d
where a = 222
d = -5
Therefore, a + 99d = 222 + 99(-5)
= 222 + (-495)
= 222 - 495
= -273
Need help!! Please!! Offering 20 points!
Answer:i
Step-by-step explanation:
i have no idea what to do (dont mind the extra woork ik its wrong)
Answer:
A) Scale factor from A to B is 2
B) Length of left side is 3 and length of right side is 5.
Step-by-step explanation:
A) Length of the top side is 2.5 in A and is 5 in polygon B. 5/2.5 = 2, therefore scale factor is 2.
B) Because the scale factor is 2, each of the sides double while the angles stay the same. Therefore, the length of the side on the left is 3 and length of the side on the right is 5.
1.5 x 2 = 3
2.5 x 2 = 5
Part (a)
Divide the upper horizontal lengths of the two figures:
5/2.5 = 2
The scale factor is 2. This means figure B has side lengths twice as long compared to figure A.
Answer: Scale factor = 2=======================================================
Part (b)
The missing side length seems to be the diagonal side of figure B. I'm not sure what's going on with the vertical side 89.4 as that should be 3 instead (since 1.5*2 = 3).
The diagonal side is 5 units long since we double 2.5 to get 5.
Answers:
vertical side = 3
diagonal side = 5
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side
The system of equations can be used to represent the situation.
y = x + 2
2x + 3y = 36
What is the length of one of the shorter congruent sides?
Answer:
Length of one of the shorter congruent side is: 6 cm
Step-by-step explanation:
In order to find the length of congruent sides we have to solve the system of equations
Given systems of equation is:
y = x + 2
2x + 3y = 36
Putting y = x+2 in second equation
[tex]2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6[/tex]
As we know that x represents the shorter side, the length of short side is: 6 cm
Hence,
Length of one of the shorter congruent side is: 6 cm
Y = [ ? ]
PLEASE HELP
Answer:
120
Step-by-step explanation:
First, you want to find the third angle
to do that you 180-33+87=60
x=60
since x and y are on a straight line, to find y would be 180-x
180-60=120
y=120
Please help me ✨✨✨✨✨
What is ½ + ⅙ rewritten with a common denominator?
Answer:
4/6
Step-by-step explanation:
look for the LCM of the denominators then divide with each denominator and multiply the answer you have got with the numerator after add it you want change it to it's simplest form
Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount of each mile driven. Ben rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spent $185. What is the charge per day and per mile to rent that car?
Answer:
$36 per day plus $0.22 per mile
Step-by-step explanation:
For Ben,
Total miles driven = 550 miles
Number of days = 6 days
Total cost = $337
For Lisa
Total miles driven = 350 miles
Number of days = 3 days
Total cost = $185
Solving Simultaneously;
6d + 550m = 337
3d + 350 m = 185
Multiply equation 2 by 2 we have
6d + 550m = 337 ----1
6d + 700m = 370------2
So;
Subtracting equation 1 from equation 2
150m = 33
m = 33/150
m = $0.22
Substitute m=0.22 into equation 1
6d + 550(0.22) = 337
6d + 121 = 337
6d = 337 - 121
6d = 216
d = 216/6
d = $36
Hence the charge is $36 per day plus $0.22 per mile
I need help for the 5th time
Answer:
3.2t - 2.4
Step-by-step explanation:
Given
- 3.6 - 1.9t + 1.2 + 5.1t ← collect like terms
= (- 1.9t + 5.1t) + (- 3.6 + 1.2)
= 3.2t + (- 2.4)
= 3.2t - 2.4
Is the following fraction terminating or repeating? *
-3
__
7
Terminating
Repeating
Answer:
repeating -0.428571.....
Sofia spent $157.25 to make facemasks. After selling 500 facemasks, her revenue was
estimated to be $364.43. Did Sofia make a profit or loss? How do you know? Explain.
Points will be given!!
Which of the tables represents a function? (5 points)
Table A
Inputs
Output
3
1
3
4
2
3
Table B
Input
Output
2
7
5
6
2
9
Table C
Input
Output
1
5
7
2
7
3
Table D
Input
Output
3
4
1
5
8
5
Group of answer choices
Table C
Table D
Table A
Table B
Answer:
It's table D
Step-by-step explanation:
I just took the test.
Answer:
The answer is table D!
Step-by-step explanation:
there are 88 girls and 96 boys in the sixth-grade what is the rate of girls to boys
A- 88 girls for every 96 boys
B- i girl for every 1.09 boys
C- 44 girls for every 48 boys
D- 11 girls for every 12 boys
Answer:
There are 11 Girls for every 12 Boys in the sixth-grade class
Step-by-step explanation:
For this problem, you want to take the original rate which is 88 girls / 96 boys.
Once you have that number, you want to divide both sides by 8.
88/96 = 11/12
The correct option is D. 11 girls for every 12 boys.
We need to determine the ratio of the number of girls to the number of boys.
Given:
Number of girls = 88
Number of boys = 96
The ratio of girls to boys can be represented as "girls : boys."
To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD). In this case, the GCD of 88 and 96 is 8.
Dividing both numbers by 8, we get:
Number of girls (after dividing) = 88 ÷ 8 = 11
Number of boys (after dividing) = 96 ÷ 8 = 12
So, the simplified ratio of girls to boys is 11 : 12.
Now, let's check which option matches the simplified ratio:
A. 88 girls for every 96 boys (Does not match)
B. 1 girl for every 1.09 boys (Does not match)
C. 44 girls for every 48 boys (Does not match)
D. 11 girls for every 12 boys (Matches)
The correct option is D. 11 girls for every 12 boys.
Learn more about Ratios here:
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Find the volume of the potato chip container. Use 3.14 for 7. Round to the nearest tenth place,
LZ
Potato
Chips
20 cm
Ranch
7 cm
Step-by-step explanation:
[tex]v \: cylinder = \pi \times r {}^{2} \times h \\ 3.14 \times 3.5 {}^{2} \times 20 \\ 3.14 \times 12.25 \times 20 \\ = 769.3[/tex]
you should round to nearest tenth place...I dont know...hope it helps
10.187 electric poles were fixed along a road at a regular interval of 20m. What was the total
distance fixed with the poles in km?
Answer:
203.74
Step-by-step explanation:
10.187x20=203.74m
203.74 = 0.20374 kilometres
What is the value of a+b+c explain your reasoning
Answer:
im not sure but maybe d
Step-by-step explanation:
pls help me figure this out!!! quick!!
Answer:
35 degrees
Step-by-step explanation:
I think that's a right angle? If so, right angles always are 90 degrees, and 90 - 55 = 35.
Which point (x,y) satisfies the given system of inequalities?
A. (3,-1)
B.(1,-6)
C. (-3,-1)
D. (-1,-6)
The answer is C: (-3,-1)
To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you
Here is proof the answer is C :
y > x - 2
(lets plug in point C)
-1 > -3 - 2
solve
-1 > -5 ?
Yes this statement is true- onto the next inequalitity!
y > 2x + 2
-1 > 2(-3) + 2
solve
-1 > -6 + 2
-1 > -4 ?
Yes, this inequality is true too!
Know we know answer c (-3,-1) is the right answer!
if csc Ф = 4/3, what is the value of sin Ф
Answer:
sinθ = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Using the trigonometric identity
sin x = [tex]\frac{1}{cscx}[/tex] , then
sin
θ = [tex]\frac{1}{\frac{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]
All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
6 miles in 2 hours
0ne hour will be 3 miles.
We have,
6 tickets = $99
Divide both sides by 6.
1 ticket = 99/6
1 ticket = $16.5
The multiplication equation to determine the cost C in dollars of each ticket:
$C = 99 x 1/6
Thus,
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
Learn more about unit rates here:
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What is the area of polygon PQRS?
Where are the answers?
Step-by-step explanation:
Somebody pls help me!!!
=====================================================
Explanation:
The similar red marks on the angles tell us those angles are congruent. So they are the same measure.
The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.
--------------
Solve for x
AC = BC
5x-8 = 2x+7 .... substitution
5x-8-2x = 7 ... subtract 2x from both sides
5x-2x = 7+8 ..... add 8 to both sides
3x = 15
x = 15/3 ... divide both sides by 3
x = 5
---------------
Use that x value to compute each side length
AB = 3x+11 = 3*5+11 = 15+11 = 26
BC = 2x+7 = 2*5+7 = 10+7 = 17
CA = 5x-8 = 5*5-8 = 25-8 = 17
Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.
----------------
The last step is to add up all the side lengths to get the perimeter
perimeter of triangle = sum of all the sides
perimeter of triangle = side1 + side2 + side3
perimeter of triangle ABC = AB + BC + CA
perimeter of triangle ABC = 26 + 17 + 17
perimeter of triangle ABC = 60 units
Answer:
Step-by-step explanation:
Remark
The sides opposite the 2 base angles are equal. That gives you x. Then all you have to do is substitute in the 3 binomials.
Equation
5x - 8 = 2x + 7 Add 8 to both sides
Solution
5x - 8 + 8 = 2x + 7 + 8 Combine
5x = 2x + 15 Subtract 2x from both sides
5x-2x = 2x-2x + 15 Combine
3x = 15 Divide by 3
x = 5
Side length
5x - 8 = 5*5 - 8 = 25 - 8
5x - 8 = 17
3x + 11 = 3*5 + 11 = 15 + 11 = 26
Perimeter
17
17
26 Add
Perimeter = 60
Archie Baines
Arthur is organising his collection
of DVDs. He has 56 altogether.
The ratio of comedy films to
action to horror is 2 : 7:5
Step-by-step explanation:
x - is the amount of DVDs
so 2x + 5x + 7x = 56
14x = 56
x = 4
so comedy is 2x4 = 8; action 7x4 = 28 and horror is 5x4 = 20 DVDs
how many solutions can be found by the equation 3y+5-2y=11?
One car averages 18 miles per gallon while another averages 32 miles per gallon. If both cars travel 14,400 miles per year, how many more gallons does the first car use?
A.288
B.350
C.450
D.512
E.800
what is -8 * -10/-8(-10
-8*-10/-8*-10
= 80/80
=1
So, 1 is the correct answer. (:
An international company has 21,900 employees in one country. If this represents 27.2% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
21,900 / 0.272 = 80,514.7
Just need the explain your answer part. Can anyone help seventh grade math please DESPRATE
9514 1404 393
Answer:
140, 35, 260/35, 7.43, 8
Step-by-step explanation:
The last section is just a summary of the preceding sections, a short description of the problem and how you worked it.
She sells the jackets for 140% of $25, or $35. 260/35 = 7.43 She can only sell a whole number of jackets, so she needs to sell 8.
Annual Rainfall of Cities
How many intervals could represent an
annual rainfall of 30 in -36 in?
A) 2
B)4
C)3
D) 5
Annual Rainfall (in.)
OA
OB
Oc
Answer:
B: 4
Step-by-step explanation:
The graph shows that there is 4 units between the numbers 30-36.
Hope this helps!
What is the answer to r-5r-6s+8s-15
Answer:
-4r+2s-15
Step-by-step explanation:
collect like terms
r-5r= -4r
-6s+8s= 2s
therefore -4r+2s-15
What is the value of x in the equation 6(x +11)= -300?
Answer:
-61
Step-by-step explanation:
We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.