Answer:
75.39 ft
Step-by-step explanation:
r = Radius of the circle drawn by the propeller = 4 ft
Circumference of the circle is
[tex]C=2\pi r\\\Rightarrow C=2\pi 4\\\Rightarrow C=25.13\ \text{ft}[/tex]
So in one rotation the distance traveled by an ant sitting on the blade tip is 25.13 ft.
Now the ant held on for 3 rotations so distance traveled is
[tex]3\times 25.13=75.39\ \text{ft}[/tex]
The bug traveled 75.39 ft.
Which expression represents the positive solution of x ^ 2 = 8?
Answer:
x ^ 2 = 8
x = √8
8x + 4 - 3 - x
PLEASE solve it!!!!
Answer:
7x+1
Step-by-step explanation:
Add common variables. That's as far as you can go because you don't what the final answer is supposed to be.
Please help. I need help with this
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100 in^2 bc you have to do l x w x h
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That's what you said but backwards :P
find the value of y that makes the equation y = 1/2 x -2 true when x = 4 choose one
A) -4 B) 0 C) 1 D) 4
Answer:
B) 0
Step-by-step explanation:
Lindsey invests $1500 in one account and $900 in an account paying 4 % higher interest. At the end of one year she had earned $204 in interest. At what rates did she invest?
Answer: She invest 41500 at 7% interest and 900 at 11% interest.
Step-by-step explanation:
Formula for simple interest = [tex]\dfrac{\text{Principal x rate x Time}}{100}[/tex]
Let [tex]P_1=\$1500,\ P_2=\$900\ \ \ \ , r_1=r, \ \ r_2=r+4,\ \ \ t_1=t_2=1[/tex]
Simple interest by first investment = [tex]\dfrac{P_1r_1t_1}{100}=\dfrac{1500(r)(1)}{100}=15r[/tex]
Simple interest by second investment = [tex]\dfrac{P_2r_2t_2}{100}=\dfrac{900(r+4)(1)}{100}=9(r+4)[/tex]
As per given,
Total interest = $204
[tex]\Rightarrow 15r+9(r+4)=204\\\\\Rightarrow\ 15r+9r+36=204\\\\\Rightarrow\ 24r=204-36\\\\\Rightarrow\ 24r=168\\\\\Rightarrow\ r=\dfrac{168}{24}\\\\\Rightarrow\ r=7\%[/tex]
Hence, she invest 41500 at 7% interest and 900 at 11% interest.
What single decimal multiplier would you use to increase by 4% followed by a 4% decrease?
Answer:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
Step-by-step explanation:
The decimal multiplier would you use to increase by 4% followed by a 4% decrease is 1.0816.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
We have to find decimal multiplier would you use to increase by 4% followed by a 4% decrease.
So, (1+ 4%)(1+ 4%)
= (1 + 4/100)(1 + 4/100)
= (1 + 0.04)(1+0.04)
= 1.04 x 1.04
= 1.0816
Learn more about percentage here:
https://brainly.com/question/29306119
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Which two segments have the same length?
Answer:
VW and YZ
Step-by-step explanation:
Count the lines in between the black dots.
Payton uses 1 1/2 cups of vinegar in her salad dressing recipe. How much vinegar would Payton use to make 4 2/3 recipes? Plsssssssssssssssss hurryyyyyyyyyy
Answer: 3 1/9 cups of vinegar
Step-by-step explanation:
From the question, we are informed that Payton uses 1 1/2 cups of vinegar in her salad dressing recipe.
To know how much vinegar Payton would use to make 4 2/3 recipes, we divide 4 2/3 by 1 1/2. This will be:
= 4 2/3 ÷ 1 1/2
= 14/3 ÷ 3/2
= 14/3 × 2/3
= 28/9
= 3 1/9 cups of vinegar
SOLVE...show your work:
8/12=10/3x
Answer:
well if the x is in the fraction the answer is
x=5
if it is not and it's after the fraction
x=1/5
Step-by-step explanation:
for x=5 for x=1/5
Apply;fraction:cross:multiply: 8/12=10/3 x then switch sides
8*3x =12*10 10/3 x = 8/12 cancel the common factor:4
simplify: 10/3 x = 2/3
24x=120 multiply both sides by 3
divide both sides by 24 3*10/3 x = 2*3/3
24x/24=120/24 simplify: 10x =2
simplified =5 divide both sides by 10: 10x/10=10/2
x=5 simplified = 1/5
x=1/5
Please let me know if this helps. and give me a thanks or something if it did <33
Pleasee help me :)))
Answer:
Ok Ill help you :)
Step-by-step explanation:
a) -125
b) +27
c) -9
d) +9/8
I hope this helps!!! ❤️
Point F' is the image when point F is reflected over the line x= -2 and then over the line y = 3.
The location of F' is (3,7).
Which of the following is the location of point F?
A (-7,-1)
B (1,5)
C (1,7)
D (-7,7)
Answer:
Step-by-step explanation:
1. Graph the points
2. Connect the point 3,7
3. Reflect it over line x=-2 and y=3
THE ANSWER IS A (-7,-1)
The location of the point F should be considered as the option A. (-7,-1).
Calculation of the location:Since Point F' is the image when point F is reflected over the line x= -2 and then over the line y = 3. The location of F' is (3,7).
So here we have to do graph the points, then connected the points i.e. 3 and 7. And, then reflect it over the line i.e. x = -2, and y = 3
So here the answer should be (-7,-1)
Learn more about point here: https://brainly.com/question/14424200
which value of x makes the equation 8(x - 8.5) = 4 true
Answer:
x=9
Step-by-step explanation:
Simplify
(-2a^2 b^4)^3. Select the correct answer.
Answer:
B.. ..... .., .........
On expanding the given expression (-2a²b⁴)³ , we get -
- 8a⁶b¹²
What is expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is the following expression -
(-2a²b⁴)³
On expanding the expression, we get -
(-2a²b⁴)³
- 8a⁶b¹²
The correct alternative is option [C] → - 8a⁶b¹²
Therefore, on expanding the given expression (-2a²b⁴)³ , we get -
- 8a⁶b¹²
To solve more questions on expressions, visit the link below-
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A group of 44 students is planning a train trip to Washington, D.C. They held many fundraisers and raised $10,880. Nathan said, “We should have enough money to pay for the train tickets. There are about 50 students going on the trip and one round trip ticket costs about $200. That makes the total cost of the tickets less than $10,000.” Does Nathan’s reasoning make sense?
Answer:
Yes
Step-by-step explanation:
Yes, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.
Answer:
Yessirr
Step-by-step explanation:
Yessir, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.
Help me please... the picture is down below:)
Answer:
x=35
Step-by-step explanation:
x+110+35=180
x+145=180
x=180-145
x=35
Could anyone help me solve this Algebra equation?
Answer:
[tex]9^{-36}[/tex]
Step-by-step explanation:
Marty's class collected $11.40 in a school-wide penny collection contest. If Tommy's class subtracted $4.70 from the amount they collected, x, and then multiplied the difference by 2, they would have the same amount of money as Marty's class.
Answer:
braiiiiiiiiinlllllllyyyyyyyyest
Step-by-step explanation:
find rhe area of a regular hexagon with17.3 miles long and a long 20 side
answer:
A≈1039.23
Solution
A=33
2a2=3·3
2·202≈1039.23048
A jar contains 3 red marbles, 2 blue marbles, and 5 yellow marbles. What is the
probability of pulling a blue marble, replacing it, then pulling a blue marble again?
Answer:
1/10
Step-by-step explanation:
answer this question: what is 9+10
Answer:
nineteen
Step-by-step explanation:
ty for the points luv
Select the correct answer. Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C. (3, 2) D. (-3, -2) E. (3, -2)
Answer:
The coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Step-by-step explanation:
Given the equations
[tex]x\:-2y\:=-1;\:2x\:+\:3y=12[/tex]
solving the equations to find the solution values (coordinates)
[tex]\begin{bmatrix}x-2y=-1\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-2y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2x-4y=-2[/tex]
[tex]\begin{bmatrix}2x-4y=-2\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]2x+3y=12[/tex]
[tex]-[/tex]
[tex]\underline{2x-4y=-2}[/tex]
[tex]7y=14[/tex]
so
[tex]\begin{bmatrix}2x-4y=-2\\ 7y=14\end{bmatrix}[/tex]
solve for y
[tex]7y=14[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x-4y=-2\mathrm{\:plug\:in\:}y=2[/tex]
[tex]2x-4\cdot \:2=-2[/tex]
[tex]2x=6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=2[/tex]
Therefore, the coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Answer:
3,2
Step-by-step explanation:
A movie theater has a seating capacity of 249. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1806, How many children, students, and adults attended?
9514 1404 393
Answer:
126 children63 adults60 studentsStep-by-step explanation:
Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...
5(2a) +7(249 -3a) +12a = 1806
a +1743 = 1806 . . . . simplify; next, subtract 1743
a = 63 . . . . . . . . adults
2a = 126 . . . . . . children
249 -3a = 60 . . students
126 children, 63 adults, and 60 students attended.
You are at the store, and are trying to remember how much bread, meat, and cheese you were supposed to buy. The bread costs $1 per loaf, the meat costs $4 per pound, and the cheese costs $3 per pound. You know that you are to buy eight items, that the total cost will be $17, and that you are supposed to purchase three times as much cheese as meat. How many of each do you need to purchase?
Answer:
4 bread loafs, 1 pound of meat, 3 pounds of cheeseStep-by-step explanation:
Let loaf of bread be b, meat be m and cheese be c
Based on the given, we have following equations:
b + m + c = 8c = 3mb + 4m + 3c = 17Subtract the first equation from the third and substitute c with m:
b + 4m + 3c - (b + m + c) = 17 - 83m + 2c = 93m + 2(3m) = 99m = 9m = 1Then
c = 3*1 = 3b = 8 - (1 + 3) = 4Camilla and Claudette offer hourly gymnastics classes. Together they can teach 14 students
at a time. They offer classes at 4pm, 5 pm, and 6 pm Monday through Thursday and 9:30 am
and 10:30 am on Saturdays. A one hour class costs $50. Their gymnastics arena costs them
$3,200 a month in rent and utilities. How much profit do they make in one month? Assume a
4 week month.
Answer:
so its 37377 im doing this for points
Step-by-step explanation:
i dont know if its wrong but add 1+h3
I got x = 45
And I was wondering if anyone one could tell me if im correct
Answer:
x = 45°
Step-by-step explanation:
Congruence of Angles:
Linear angles are those consecutive angles formed when two lines cross. Their sum of linear angles is 180°.
Corresponding angles are those which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent.
From the provided figure, angles y and 3x-60 are linear, thus:
y + 3x - 60 = 180
y = 180 - 3x + 60
y = 240 - 3x
Also, being p and q parallel lines, angles y and 2x+15 are corresponding, thus:
240 - 3x = 2x + 15
Adding 3x:
240 = 2x + 3x + 15 = 5x + 15
Subtracting 15:
240 - 15 =5x = 225
Dividing by 5:
x = 225 / 5 = 45
x = 45°
Which of the following is not a congruence theorem or postulate?
Answer:
where are the following???
Step-by-step explanation:
hey There! i need ur help Please!!!!
Answer:
35 5x7=35
Step-by-step explanation:)
35 [tex]hope you love it[/tex]
O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro, porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher ao acaso um morador do bairro que não tomou a vacina?
Questão completa:
O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro,
porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher
ao acaso um morador do bairro que não tomou vacina?
(eles so conseguiram vascinar 1000 pessoas )
Responda:
1/3
Explicação passo a passo:
Dado que :
Número total de pessoas = 1.500
Número total de vacinados = 1000
Conseqüentemente,
Número de não vacinados = (1500 - 1000) = 500
Portanto, a probabilidade de selecionar aleatoriamente alguém que é vacinado:
Probabilidade = (resultado necessário / número de resultados totais)
P (selecionando alguém que não foi vacinado) =
500/1500
= 1/3 ou 0,3333
Tanvir graphed the relationship between the number of rotations of the screwdriver and the height of a screw head above a piece of wood.
What does the slope represent in this context?
Choose 1 answer:
A. The height of the screw head above the wood before Tanvir rotated the screwdriver
B. The number of rotations it takes to change the screw head height by 1 millimeter
C. The number of millimeters per rotation that the screw height changes
D. None of the above
Please answer ASAP!
Answer:
C
Step-by-step explanation:
I did it
Answer: B
Step-by-step explanation: