Answer:
1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or each of those is a counting number that can be multiplied by another counting number to make 12).
Step-by-step explanation:
hope this helps.
Michael has a bag with 2 red marbles, 4 white marbles and 3 purple marbles. He will randomly select 2 marbles from the bag one at a time without
replacement. What is the probability that he will choose a red marble first and then a white marble?
O 13/18
8/81
O 1/9
O 2/3
Answer:
1/9
Step-by-step explanation:
Given:
2 red marbles
4 white marbles
3 purple marbles
He will randomly select 2 marbles from the bag one at a time without
replacement.
To Find:
What is the probability that he will choose a red marble first and then a white marble?
Solution:
Since red marbles =2
White = 4
Total = 2+4+3 = 9
Select first time = 2/9
Select second time = 4/8
And then = Multiply
2/9 * 4/8 = 8/72
8/72 Simplify
1/9
[RevyBreeze]
Solve for b. -36 + 2.5 = 4
Answer:
False
Step-by-step explanation:
The sides are not equal
What is the area of this figure?
Answer:
20
Step-by-step explanation:
from the numbers i was seeing my answer is 20 i am so sorry if it not right.
Solve the equation:
1. |x-7|=8
2. |x-9|=-14
Answer:
1. [tex]x=-1; x=15[/tex]
2. Impossible
Step-by-step explanation:
About #1.
There are two ways of reasoning.
Algebrically, you split the absolute value in two based on the sign of the quantity [tex]x-7[/tex]
[tex]x-7 = 8; x\ge7\\x=15\\x-7=-8; x < 7\\x=-1[/tex]
Geometrically, and it's a personal preference of mine, you're asking to find the numbers that are 8 units away from 7. One is to the right (15), and the other is to the left (-1).
#2 is impossible. The modulus of a number is by definition non negative, so it can never be equal to a negative number.
What is the value of x in the equation –2.4x = 8.4?
Answer:
x = -3.5
Step-by-step explanation:
−2.4x=8.4
Divide both sides by −2.4.
x= 8.4/-2.4
Expand 8.4/-2.4 by multiplying both numerator and the denominator by 10.
x= 84/-24
Reduce the fraction 84/-24 to lowest terms by extracting and canceling out 12.
x= −7/2
-7/2 = -3.5
Answer:
-3.5
Step-by-step explanation:
Hello there?
given such a question,
You have to carry out division on of both RHS and LHS.
Take -2.4 and divide through -2.4{LHS} and 8.4{RHS}.
You are then remained with 1(x) in LHS and -3.5 in RHS
-2.4x /(-2.4)= {8.4}/(-2.4)
= -3.5
I hope this helps. Have a nice studies
Solve the following equation:
3 x one half
==========================================================
Let's simplify the expression:-
[tex]\bigstar{\boxed{\frac{3}{1} *\frac{1}{2}}[/tex]
Multiply 3 times 1 and 1 times 2:-
[tex]\bigstar{\boxed{\pmb{\frac{3}{2} }}[/tex]
======================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?
Answer:
Acc to ques
7x-3x = 60
x = 15
so they made total of 10x = 150
What is the value of X?
Answer:
x=7
Step-by-step explanation:
In a 45 45 90 triangle the two legs are equal so you set 33=5x-2 and then solve the equation.
Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.
Carly says that if she washes 5 cars she will have enough money to buy the skateboard.
Use the drop-down menus to explain how to solve this problem.
First multiply
Choose...
× $20 to find how much money Carly will earn washing cars. Then add this amount to
Choose...
to find how much money Carly has in all. Finally,
Choose...
the total to the cost of the skateboard.
Answer:
$149 - skateboard price
$52 - carly's money
$20 × 5 cars = $100
$100 + $52 = $152
$152 - $149 = $3 left
Show that 9.1 is not a solution of the equation n-6.4 = 2.61. Then find
the solution
Answer:
The solution is 9.01.
Step-by-step explanation:
To prove that 9.1 isn't the solution we have to plug 9.1 into the equation. By replacing n with 9.1 we get 2.7 which isn't equal to 2.61.
To find the solution we must add 6.4 to both sides of the equation.
20. You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until it is paid off. How many months does it take you to pay it off?
- 6 months
- 9 months
- 4 months
- 7 months
Answer:
(a) 6 months
Step-by-step explanation:
The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.
That formula is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.
__
Using the given information, we can solve for t:
300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))
1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))
(1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782
Taking logs, we get ...
-12t·log(1 +0.113/12) = log(0.950782)
t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years
This fraction of a year is ...
(12 months/year)(0.448739 years) = 5.38 months
It will take you 6 months to pay off the loan.
h=-16t^2+320, how long will it take to hit the ground
Answer:
It will take 5 seconds
Jorge's math grade is calculated using a weighted average. Quizzes are worth 30%, homework is worth 10%, unit tests are worth 40%, and the final exam is worth 20%.
Jorge earned an average of 92% on his quizzes, 98% on his homework, 91% on his unit tests, and a score of 95% on his final exam.
What is Jorge's final math grade?
By rewriting the weights in decimal form and applying them to the correspondent percentages, we will see that the final grade is 92.8%.
What is Jore's final math grade?
The final grade will be given by:
G = a₁*x₁ + a₂*x₂ + ...
Where the values "a" are the weights, and the values "x" are the averages of Jeorge.
We know that the weights are:
30% on Quizzes.10% on homework40% on unit test.20% on the final exam.Then we can write the weights in decimal form:
a₁ = 0.3
a₂ = 0.1
a₃ = 0.4
a₄ = 0.2
And the scores are:
92% on quizzes.98% on homework91% on unit tests95% on final exam.So the final math grade will be:
G = 0.3*92 + 0.1*98 + 0.4*91 + 0.2*95 = 92.8%
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
Answer:
the answer is 92.8%
Step-by-step explanation:
Find the quotient of 36 and -4.
The quotient of 36 and -4 is -9.
36/-4 = -9
i need helps pls
The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area in square feet?
5,760 ft²
976 ft²
1,120 ft²
1,040 ft²
The net square pyramid and its given dimension as shown has a total surface area of 1040 ft².
How to calculate surface area of a square pyramidSurface area of a square pyramid = A + 1 / 2 ps
where
A = area of the basep = perimeter of bases = slant heightTherefore,
A = l²
where
l = length = 20 ftA = 20² = 400 ft²
p = 4l = 4 × 20 = 80 ft
s = 16 ft
Therefore,
Surface area = 400 + 1 / 2 × 80 × 16
Surface area = 400 + 1280 / 2
Surface area = 400 + 640
Surface area = 1040 ft²
learn more on surface area here: https://brainly.com/question/2835293
True or False: In an exponential regression, the data points tend to increase in one direction and flatten out in the other direction.
Answer:
T
Step-by-step explanation:
The regression line is flat when there is no ability to predict whatsoever. The regression line is sloped at an angle when there is a relationship. The extent to which the regression line is sloped, however, represents the degree to which we are able to predict the y scores with the x scores
Area compound shapes
Step-by-step explanation:
the area is the sum of the top square of 9×9 and the bottom parallelogram.
we know the length of the parallelogram is still also the square side length : 9ft.
but we don't need to bother about the lengths of the inclined sides, as the area of a parallelogram is
baseline × height
and the height we can see on the right hand side, as the height of the total shape is 14ft. given that the square side length is 9ft, that leaves us with 14-9 = 5ft as the height of the parallelogram.
so, the area of the square is
9×9 = 81 ft²
the area of the parallelogram is
9×5 = 45 ft²
the total area is then
81 + 45 = 126 ft²
Amanda and her best fiend found some money buried in a field. thay split the money evenly, each getting $24.28. how much money did thay find?
Answer:
48.56
Step-by-step explanation:
We have to multiply 24.28x2 because there are 2 people so if we multiply it we will get the answer 48.56.
Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?
Answer:
it’s C. 2.5
Step-by-step explanation:
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.
What is the surface area of the image after the dilation?
185 5/8 m²
219 3/8 m²
247 1/2 m²
292 1/2 m²
The surface area of the image after the dilation is 219 3/8 m²
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²
The surface area of the image after the dilation = scale factor² * 390 m² = (3/4)² * 390 m² = 219 3/8 m²
The surface area of the image after the dilation is 219 3/8 m²
Find out more on area at: https://brainly.com/question/25292087
Hello I need help with number 1-12 please and thank you!!!!!
Answer:
Please see above
Step-by-step explanation:
I have to right stuff here but the answer is above.
Find the average of this set of numbers.1, 9, 11, 13, 26
A) 12
B) 13
C) 14
D) none of the above
[tex]\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}[/tex]
[tex]\longrightarrow[/tex]Here, no of observation are 5
Now,
[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{1+9+11+13+26}{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{60}{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Average = 12 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]The Average of given set of numbers is 12 .
[tex]\therefore\: [/tex] Option A) is correct ✔️
what is the volume of the box with a high of 3/2 inches a length of 7/2 inches and a with of 5/2 inches
Answer: It is 105/8, or 13 1/8 (as a mixed number)
Step-by-step explanation:
To find volume, you do length times width times height (l * w * h)
Hope this helps! :D
If f(x) = 2x² - 5, f(5) =
Answer:
45
Step-by-step explanation:
Put in '5' where 'x' is
2 (5)^2 - 5 = 45
What is the equation: [tex]2x^2-5[/tex]
What do we want to find: f(5)
To find f(5), we must plug the value '5'
⇒ into the 'x' position
⇒ f(x)
So: [tex]f(5) = 2(5^2)-5 = 2 * 25 - 5 = 50 -5 = 45[/tex]
Thus f(5) = 45
Hope that helps!
write the following numbers in words (1) 396 624 (2) 5 200 090 (3) 4 606 220
Answer:
1. three hundred ninety six thousand twenty four
2. five million two hundred thousand ninety
3. four million six hundred six thousand two hundred twenty
PLEASE HELP
Use the function f(x) to answer the questions.
f(x) = −16x2 + 22x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
First graph
y=-16x^2+22x+3(Graph attached)#A
Use quadratic formula
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{484+192}}{-32}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{676}}{-32}]/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm 26}{-32}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-1}{8}\:or\:\dfrac{3}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=-0.125\:or\:1.5[/tex]
#B
Vertex will be maximum
Coordinates are
(0.688,10.563)#C
We have to find x intercepts (Part A)Then vertex(Part B)Then we can graph it[tex]\sf f(x) = -16x^2 + 22x + 3[/tex]
Part A
To find x-intercepts, the f(x) will be 0
[tex]\sf \hookrightarrow -16x^2 + 22x + 3=0[/tex]
[tex]\sf \hookrightarrow -16x^2 + 24x -2x+ 3=0[/tex]
[tex]\sf \hookrightarrow -8x(2x-3)-1(2x- 3)=0[/tex]
[tex]\sf \hookrightarrow (-8x-1)(2x+ 3)=0[/tex]
[tex]\sf \hookrightarrow -8x-1=0 , \ 2x+ 3=0[/tex]
[tex]\sf \hookrightarrow x=-0.125 , \ x=1.5[/tex]
find y-intercept:
to find y-intercept, x will be 0
[tex]\sf f(x) = -16(0)^2 + 22(0) + 3[/tex]
[tex]\sf f(x) = 3[/tex]
Part B
To find vertex use the formula: x = -b/2(a)
[tex]\sf \rightarrow x = \dfrac{-22}{2(-16)}[/tex]
[tex]\sf \rightarrow x = 0.6875[/tex]
find y coordinates:
[tex]\sf f(x) = -16(0.6875)^2 + 22(0.6875) + 3[/tex]
[tex]\sf f(x) =10.5625[/tex]
coordinates of vertex: (0.6875, 10.5625)
[tex]\bold{\mathrm{If}\:a < 0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}}[/tex][tex]\bold{\mathrm{If}\:a > 0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}}[/tex]As its positive and greater than 0, the vertex will be Maximum.
part C
To draw the graph, simplify point the vertex on the graph. Then point both the x-intercepts. Also the y-intercept and draw the curve with free hand.
Graph attached:
Write the equation of the line perpendicular to y=5/6x+7/6 that passes through the point (-8,9) .
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{6}}x+\cfrac{7}{6}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we can say that
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}[/tex]
so we're really looking for the equation of a line with a slope of -6/5 and that passes through (-8 , 9)
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}[/tex]
Help me the question 1 in my picture
Answer:
Number 1 is b
I found the answer on a website
I need help with questions two and three I do not understand them at all
Pls show work thank you!!!
[tex]|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16[/tex]