Answer:
b = 8
Step-by-step explanation:
1.3b + 2 = 12.4
- Subtract 2 from both sides
1.3b = 12.4 - 2
- Subtract 2 from 12.4 to get 10.4.
1.3b = 10.4
- Divide both sides by 1.3.
b = [tex]\frac{10.4}{13}[/tex]
- Expand [tex]\frac{10.4}{13}[/tex] by multiplying both numerator and the denominator by 10.
[tex]b = \frac{104}{13}[/tex]
- Divide 104 by 13 to get 8.
Tina will use the number cube, the spinner, and the coin shown below in a game. The number cube has faces numbered 1 through 6. Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome. How many unique outcomes where the number on the cube is greater than 4 are possible?
There are 4 slots for the spinner.
Answer Choices:
A. 12
B. 24
C. 16
D. 48
The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
Answer:
[tex]29i[/tex]
Step-by-step explanation:
From this information, we can write the following equation: [tex](2-5i)(2 + 5i)(i)[/tex]
We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: [tex](4+25)(i)[/tex]
= [tex]29i[/tex]
hope this helped! :)
Is 1000 a sequence in 50 65 80 95
Answer: yes
Step-by-step explanation:
it’s the 41st term
How many participants will make 45 handshakes in total
Solve for x in the equation -2/5 x = 12
Answer:
x= -30
Step-by-step explanation:
Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain
Answer:
No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.
What is the value of x?
Answer:
x = 52°
Step-by-step explanation:
The angles add up to 360°.
x + 98 + x + 91 + x + 15 = 3603x + 204 = 3603x = 156x = 52°(3)(6)(-2)
Please Help
Answer:
-36Step-by-step explanation:
(3)×(6)×(-2) =
18 × (-2) =
(remember plus per minus = minus)
-36
Divide. 12.92/105 please
Answer:
0.2584
Step-by-step explanation:
First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.
PLEASE HELP ASAP!!!!!!!!!
The diameter of a circle is 7 cm, What is it's area/circumference????!
HELP!!!!
Answer:
Below in bold.
Step-by-step explanation:
Circumference = π * diameter
= π * 7
= 20.99 cm to nearest hundredth.
Radius of the circle = 1/2 * diameter = 7/2
= 3.5cm.
Area = π r^2
= π * 3.5^2
= 38.48 cm^2 to nearest hundredth.
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
◈ The diameter of a circle is 7 cm. What is its area? How about its circumference?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
We're asked to find the circle's circumference, which can be found using the formula below:-
[tex]\textsf{Formula for Circumference of a Circle:- \boxed{\bold{C=\pi d}}}[/tex]
Where:-
[tex]\bold{C=Circumference}[/tex][tex]\pi[/tex] = pi [3.14][tex]\bold{d=diameter}[/tex]As per provided information (d=7cm), we can easily find the circumference by substituting 7 for d:-
↬ [tex]\sf{C=\pi (7)}[/tex]
On simplification,
↬ [tex]\sf{C=7*3.14}[/tex]
Remember, 3.14 is pi.
On further simplification,
↬ C=21.98 cm.
So we conclude that the circumference of the given circle is:-
C=21.98 cm.
Now, how about the area?
[tex]\textsf{Formula for Area of a Circle:-\boxed{\bold{A=\pi r^2}}}[/tex]
Where:-
A=arear=radius (it's squared, which means it's multiplied times itself)Notice that we only have the diameter and not the radius.
We can easily find the radius by dividing the diameter by 2:-
3.5
So the radius is 3.5.
Substitute the value of r into the formula, which results in:-
↬ [tex]\sf{A=\pi (3.5)^2}[/tex]
On simplification,
A=12.25πOn further simplification,
A=12.25•3.14 (3.14 is pi)
On further simplification,
A=38.465 cm²
Good luck.-- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)
A line is drawn on a scatter plot, as shown below:
Which statement best describes the line?
(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.
Answer:
B
Step-by-step explanation:
Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each turn player A targets a pair of points and player B says whether those two points are connected or unconnected. A can target each pair only once and the game ends when all pairs have been targeted. Player B wins iff a point is connected with all other points on the very last turn, while player A wins if any point is connected with all other points on any turn but the very last one OR if no point is connected to all other points after the last turn. For what values of n does either player have a winning strategy?
The values of n does either player have a winning strategy is; Player B has a winning strategy for all n ≥ 2.
How to predict winning probability?Let us use an example to solve this question. The game is played on the complete graph Kₙ (n ≥ 2), which consists of n vertices, each pair of vertices joined by an edge.
Now, Initially all edges are unpainted. At each turn, A chooses an edge, which B paints blue or red. Now, B will win if, after the last edge is painted, there is a vertex which is joined to all other vertices by blue edges. If that doesn't happen, then A wins.
The winning strategy of B is described by 3 rules which are;
Rule 1; Paint the last edge blue.Rule 2. Never paint an edge red if that would result in two red vertices being joined by an unpainted edge.Rule 3. Use red paint whenever permitted by Rules 1 and 2.Thus, if n >2, the first edge will always be painted red, the second will always be painted blue.
In conclusion, when we apply that same scenario to our question it is the same result and as such Player B has a winning strategy for all n ≥ 2.
Read more about probability at; https://brainly.com/question/24756209
#SPJ2
Carson grew up to be one of Texas most prominent real estate investor. Carson took $32,500 he made on the sale of a home and placed it in a new account that earns 6% compounded annually. Find the total amount after 5 years.
ps (delta math)
Answer:
$44,492.33
Step-by-step explanation:
Compound Interest Formula
A = P (1 + r/n)^(nt)A = amount of interestP = Principalr = interest rate (in decimals)n = number of times interest is compoundedt = number of yearsSolving
A = (32,500)(1 + 0.06/1)⁵A = (32,500)(1.06)⁵A = (32,500)(1.33822558)A = $44,492.33 (nearest cent)Martha bought a 0.35-kilogram bottle of spice. spice. She uses 80 grams a week. Is one bottle of spice enough for 6 weeks? Explain.
Answer:
She has not got enough spice for 6 weeks.
Step-by-step explanation:
Remark
0.35 kg = 0.35 * 1000 grams / kg = 350 grams.
Since she will use 6 * 80 = 480 grams for 6 weeks, and since 350 is less than 480, she does not have enough spice for six weeks.
Evaluate the indefinite integral.
Answer:
[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]
Step-by-step explanation:
All this takes is the use of the power rule, which, for integrals, says that
∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].
With this in mind, we can integrate:
∫[tex]x^2 - 2x + 4[/tex]
= [tex]\frac{1}{3} x^3 - x^2 + 4x[/tex].
We can also check our answer by differentiating our answer:
[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]
so we are correct!
hope this helped!
Mrs. Purdue needs to pick three random students in her class to be representatives on the student council. Explain how Mrs. Purdue could use slips of paper to generate a random sample.
Answer:
See below
Step-by-step explanation:
She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.
Find the MAD:
98, 140, 220, 150
Answer:
I'm not too sure but I think It's 34
Step-by-step explanation:
Rusty in that particular area of math
Write this percentage as a fraction in its simplest form. 50 %
Answer:
1/2
Step-by-step explanation:
50/100 = 5/10 =1/2
in it's simplest form
;)
A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inches. If a can of soup this size costs $1.99, what is the cost for each serving of soup? Round to the nearest cent.
Answer: The answer to your question is Cost of a serving = $0.62
Step-by-step explanation:
Data
diameter = 3.5 in
height = 5 in
each serving = 15 in³
Cost of the can = $1.99
Process
1.- Calculate the volume of the can
Volume = πr²h
-Substitution
Volume = (3.14)(3.5/2)²(5)
-Simplification
Volume = (3.14)(3.062)(5)
-Result
Volume = 48.08 in³
2.- Use proportions and cross multiplication to find the cost of a serving.
48.08 in³ ---------------- $1.99
15 in³ ---------------- x
x = (15 x 1.99)/48.08
x = 29.85/48.08
x = $0.62
Ade think of a number.he double it and then subtract five.the results cannot less than 100 . find the range of value of x
Answer:
[tex]x > \frac{105}{2}[/tex]
Step-by-step explanation:
Let's say that the number is [tex]x[/tex].
He doubles the number and then subtracts five to get the number to be [tex]2x - 5[/tex]. If the result cannot be less than 100, then we can write the inequality [tex]2x - 5[/tex] > [tex]100[/tex]. Now, solving for x, we get [tex]x > \frac{105}{2}[/tex].
Enter the unknown number to make the equation true.
Please help I’ll give brainless if possible
Answer:
It would be 70
Step-by-step explanation:
hope this helped :)
which of the following is a true statement
Answer:
b
Step-by-step explanation:
[tex] = \frac{68}{5} - \frac{18}{5} \\ [/tex]
[tex] = \frac{50}{5} \\ [/tex]
Change into lowest term
[tex]10...[/tex]
PLEASE HELP!!
(look at picture!)
Answer:
a. 35, 34
b. 25, 18
Step-by-step explanation:
a knife is four times the cost of a spoon. 12 spoons and 16 knives cost £105.64. work out the cost of 1 knife
Answer:
£5.56Step-by-step explanation:
let K be the cost of a knife
S Ben the cost of a spoon
The statement “a knife is four times the cost of a spoon”
means K = 4S
means S = (1÷4)K
the statement “12 spoons and 16 knives cost £105.64”
means 12S + 16K = 105.64
⇔ 12(1÷4)K + 16K = 105.64
⇔ 3K + 16K = 105.64
⇔ 19K = 105.64
⇔ K = 105,64÷19
= £5.56
A box is shaped like a rectangular prism. the base area of the box is 630 square centimetres, and the height is 20 centimetres. determine the volume of the box.
Answer:
12600 cm³
Step-by-step explanation:
The volume of a prism is the product of its base area and height:
V = Bh
__
For your prism, this product is ...
V = (630 cm²)(20 cm) = 12600 cm³
The volume of the box is 12600 cm³.
Can someone help please
Answer:
-18a⁸
Step-by-step explanation:
-2a²(-3a³)²
-2a²*9a⁶ (Opening the square)
-18a⁸
please help me It's pythagorean theorem
Answer: 4
Step-by-step explanation:
3^2 + b^2 = 5^2
9 + b^2= 25
b^2 = 16
b = ±4
Answer:
The simple answer is 4 inches for steps look below
Step-by-step explanation:
According to pythagoras theorem
[tex] {5}^{2} = {3}^{2} + {x}^{2} \\ \\ \\ 25 - 9 = {x}^{2} \\ \\ x = 4[/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
(3x+8) (x + 4) need help solving the problem
Answer:
3x^2 [squared] + 20x + 32 (If your factoring)
Step-by-step explanation:
3x X x = 3x^2
3× X 4 = 12x
8 X x = 8x
8 X 4 = 32
A bag contains 7 red marbles, 12 orange marbles, 18 yellow marbles, and 5 purple marbles. a marble is drawn at random from the bag. what is the probability that the marble drawn will not be orange? 130 112 27 57
Answer:
its 5/7
Step-by-step explanation:
no of marbles that r not orange = 30
no of total marbles = 42
probability = 30/42
= 15/21
= 5/7
I hope my answer is helpful