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.
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) = 4Could anyone help me solve this Algebra equation?
Answer:
[tex]9^{-36}[/tex]
Step-by-step explanation:
Which expression represents the positive solution of x ^ 2 = 8?
Answer:
x ^ 2 = 8
x = √8
which value of x makes the equation 8(x - 8.5) = 4 true
Answer:
x=9
Step-by-step explanation:
Please help. I need help with this
Which two segments have the same length?
Answer:
VW and YZ
Step-by-step explanation:
Count the lines in between the black dots.
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:
Camilla 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
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:
hey There! i need ur help Please!!!!
Answer:
35 5x7=35
Step-by-step explanation:)
35 [tex]hope you love it[/tex]
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°
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!!! ❤️
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
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
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.
answer this question: what is 9+10
Answer:
nineteen
Step-by-step explanation:
ty for the points luv
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.
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-
brainly.com/question/11915983
#SPJ2
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:
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:
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
#SPJ2
Which of the following is not a congruence theorem or postulate?
Answer:
where are the following???
Step-by-step explanation:
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:
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.
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
///////////////////;;;;;;;;hfdtty
100 in^2 bc you have to do l x w x h
yttdfh;;;;;;;;////////////////
That's what you said but backwards :P
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
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
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.
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