[5x +2y]35 =100
ddddddddddddd
The perimeter of an equilateral triangle is 30 cm. Find the length of each side of the triangle.
Answer:
10 cm
Step-by-step explanation:
The perimeter of a equilateral triangle is
P = 3s where s is the side length
30 = 3s
Divide each side by 3
30/3 = 3s/3
10 = s
You are going to make “words” using the letters in the word WHISKAS. a) How many seven-letter words can you make? b) How many seven-letter words can you make if the two S’s must be together? c) How many seven-letter words can you make if the words must begin with A and end with H?
Hey there! I'm happy to help!
PART A
When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.
We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.
The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.
But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.
5040/2=2520
There are 2520 ways you can arrange the word WHISKAS.
PART B
Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.
PART C
Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.
Have a wonderful day!
The table of values shows the number of minutes since Raul got online at an Internet cafe and the total amount he paid up until that point. If x is the number of minutes since Raul got online and y is the total amount he paid in dollars, which equation models this situation? Number of Minutes Since Raul Total Amount Paid Got Online 0 min 4.00 2min 4.12 4min 4.24 6min 4.36 8min 4.48 answer choice A x = 0.06y + 4 B x = 0.12y + 4 C y = 0.06x + 4 D y = 0.12x + 4
Answer: C) ŷ = 0.06X + 4
Step-by-step explanation:
Given the following :
Number of minutes since Rahul got online :
0 - - - - - 2 - - - - - 4 - - - - - 6 - - - - - 8
Total amount paid :
4.0 - - - 4.12 - - - 4.24 - - - 4.36 - - - 4.48
Using the online regression calculator to create a linear model with number of minutes since Rahul got online on the x-axis and the total amount paid on the y-axis :
The linear model obtained is : ŷ = 0.06X + 4
With y being the predicted variable
X = values of the independent variable
0.06 = gradient or slope of the line
4 = intercept
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
====================================================
Work Shown:
T = tens digit of the original number
U = units digit of the original number
U+T = 10 since the digits add to 10. Solve for U to get U = 10-T
10T+U = original number
10U+T = new number where digits are reversed
-----------
new number = (old number) + 36
10U+T = (10T+U)+36
10U+T = 10T+U+36
10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T
100-10T+T = 10T+10-T+36
-9T+100 = 9T+46
100-46 = 9T+9T
54 = 18T
18T = 54
T = 54/18
T = 3 is the tens digit of the original number
U = 10-T
U = 10-3
U = 7 is the units digit of the original number
10T+U = 10*3+7 = 30+7 = 37 is the original number
73 is the reversed number.
73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.
Answer:
37
Step-by-step explanation:
What number should replace the ?
Answer:
94
Step-by-step explanation:
There is a common pattern.
4² = 16
Switch digits 16 ⇒ 61
5² = 25
Switch digits 25 ⇒ 52
6² = 36
Switch digits 36 ⇒ 63
7² = 49
Switch digits 49 ⇒ 94
An arithmetic sequence is represented in the following table. Enter the
missing term of the sequence.
Answer:
387
Step-by-step explanation:
we can use the formula y=-81+(x-1)13, because 13 is the common difference
then plug 37 in for x
you get y=-81+36(13)
which simplifys down to 387
x2 + 4y2 = 36
The major axis runs along:
O y = 4x
x-axis
y-axis
Answer:
The x-axis.
Step-by-step explanation:
This is an ellipse.
In standard form it s x^2/36 + y^2/9 = 0.
When y = 0, x = +/- 6 and when x = 0, y = +/- 3 so the minor axis has length 6 and the major axis has length 12 and runs along the x-axis.
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many red marbles are in the bag.
Answer:
35 red marbles
Step-by-step explanation:
So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.
Answer:
35 red marbles
Step-by-step explanation:
The total number of marbles the student recorded is 20
Now we have to make a ratio of red to the total number of marbles
That would be 7 : 20
After this, there will be a new ratio which is x : 100
Lastly we will solve for x making the equation 20x = 700, x = 35
Andrew is about to leave for school. if he walks at the speed of 50 meters per minute he will arrive 3 minutes after the bell rings. if he runs at the speed of 80 meters per minute he will arrive 3 minutes before the bell rings. in how many minutes will the bell ring?
================================================
Explanation:
x = time it takes for the bell to ring, time is in minutes
d = distance from his house to the school, in meters
distance = rate*time
If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late. This means he took x+3 minutes to get to class. The x represents the amount of time it takes if he arrived on time, then the +3 is those 3 minutes he is late. We then write
d = 50(x+3)
d = 50x+150
If he runs to school, then he's 3 minutes early. So he took (x-3) minutes to get to class. His rate is 80 meters per minute
d = 80(x-3)
d = 80x-240
We're referring to the same distance (d) value, which allows us to perform substitution to solve the two equations we formed
80x-240 = 50x+150
80x-50x = 150+240
30x = 390
x = 390/30
x = 13
Andrew has 13 minutes to get to class.
-------------------
Checking the answer:
If he walks at a speed of 50 m per minute, then he'll be 3 minutes late. So he really took 13+3 = 16 minutes to arrive. His distance traveled is d = r*t = 50*16 = 800 meters.
If he ran 80 m per minute, and is 3 minutes early, then he took 13-3 = 10 minutes to get to class. His distance is the same as before d = r*t = 80*10 = 800 meters. The fact we get 800 both times helps confirm we have the right answer.
Andrew has 13 minutes to get to class.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.
Now, let x be the time it takes for the bell to ring.
let d be the distance from his house to the school, in meters
distance = speed*time
If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late.
So, Andrew took x+3 minutes to get to class.
Here in the expression +3 shows that she is late.
So,
d = 50(x+3)
d = 50x+150
Now, If he runs to school, then he reached 3 minutes early.
So, toe get in class he will take (x-3) minutes
Here -3 show the child reached early
d = 80(x-3)
d = 80x-240
Since the distance is same.
So, the two equations are equal.
80x-240 = 50x+150
80x-50x = 150+240
30x = 390
x = 390/30
x = 13
Hence, Andrew has 13 minutes to get to class.
Learn more about algebra here:
https://brainly.com/question/953809
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Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that is19,000 invested at 3.5% interest for 10yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent.
Answer: 26801.38
Step-by-step explanation:
The following parameters are given:
The money invested which is
The principal P = 19000 dollars
The rate R = 3.5 %
Period t = 10 years
The formular for amount of money after 10 years will be
A = P( 1 + R% )^t
Substitute all the parameters into the formula
A = 19000( 1 + 3.5/100 )^10
A = 19000 ( 1 + 0.035 )^10
A = 19000 ( 1.035 )^10
A = 19000 × 1.41059
A = 26801.376
A = 26801.38 dollars
Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28
Answer:
facil es la D
Step-by-step explanation:
10+6+12 igual a 28
y nada mas ahi que decir el numero de rosas amarillas que es este caso son
6
Respuesta 6:28
Answer:
D. 6:28
Step-by-step explanation:
The total number of flower in bouquet is
=6+10+12
=28
The ratio of number of yellow roses to the total number of roses is 6:28
solve for x -7x+1≥22 or -10x+41≥81
Answer:
The answer to the union of the two sets is: [tex]x\leq -3[/tex]
Step-by-step explanation:
Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.
First inequality:
[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]
so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)
Second inequality:
[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]
So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.
Then, when we do the union of these two sets, we get:
[tex]x\leq -3[/tex]
since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.
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Which combinations of transformations will always produce congruent figures? Check all that apply.
a dilation, followed by a rotation
a reflection, followed by a dilation
a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
O O O O O
Answer:
a rotation, followed by a translationa translation, followed by two reflectionsStep-by-step explanation:
The rigid motions are the transformations that produce congruent images.
There are three main kinds of rigid motions :
Reflections : Flips a figure across a line of reflection. Rotations : Rotates a figure about some degrees around a center point. Translations : Moves figure on a plane about some distance in a certain direction.But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.
So, the options having dilation and term "stretch" cannot produce congruent figures.
Hence, the correct options are :
a rotation, followed by a translationa translation, followed by two reflections*PLEASE ANSWER, NEED HELP* Find the surface area of the rectangular prism below.
Answer:
461.02
Step-by-step explanation:
2 × ( (12.3 × 4.3) + (12.3 × 10.7) + (4.3 × 10.7)) = 461.02 m^2
Answer:
461.02 M^2
Step-by-step explanation:
A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
SA = 2lw+2lh+2hw
2LW = 105.78 M^2 ( 52.89* 2 )
L= 12.3 M^2 , W = 4.3 M^2
LW = 52.89 M^2
2LH = 263.22 ( 131.61 * 2 )
L = 12.3 M^2 , H = 10.7 M^2
LH = 131.61 M^2
2HW = 92.02 ( 46.01 * 2 )
H = 10.7 M^2 , W = 4.3 M^2
HW = 46.01 M^2
SA = 2lw+2lh+2hw
SA = 105.78 M^2+ 263.22 M^2 + 92.02 M^2
SA = 461.02 M^2
which expression below would not be equivalent to 12n+ 6
1) 3(4n+2)
2) 2(6n+3)
3) 6(2n+1
4)12 (n +4)
Answer:
4)12(n+4)
=12n+48
Step-by-step explanation:
Answer:
4) 12(n + 4) = 12n + 48
Step-by-step explanation:
Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?
Answer: she needs to work 8 hours
Step-by-step explanation:
Scanning the road can be thought of as a
A. way to improve your mileage
B. way to reduce your mileage
C. comprehensive drive test
D. systematic search process
Answer:
D
Step-by-step explanation:
Well scanning the road for mileage wouldn't be the correct formula for "scanning" but looking for a gas station sounds more right.
Answer: d
Step-by-step explanation: i did it and got it right
Raise the absolute value of the difference between 136 and 365 to the 6th power. Which of the following expressions matches the sentence above? A. |136 + 365|6 B. (136 + 365)6 C. |136 - 365|6 D. (136 - 365)6
Answer:c
Step-by-step explanation:
becuase it minus so we can get rid of a and b, and since d is not the equation to find absolute value, it is not correct
10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12
2. 5X - 15 = 3X + 4
Answer:
1. x = 3.
2. x = 9.5.
Step-by-step explanation:
1. 2x + 6 = 12
2x = 6
x = 3.
2. 5x - 15 = 3x + 4
5x - 3x = 4 + 15
2x = 19
x = 9.5.
Hope this helps!
Step-by-step explanation:
1).2x + 6 = 12
Send the constant to the right side of the equation
That's
2x = 12 - 6
2x = 6
Divide both sides by 2
x = 32).5x - 15 = 3x + 4
Group like terms
We have
5x - 3x = 15 + 4
Simplify
2x = 19
Divide both sides by 2
x = 19/2Hope this helps you
1. f(x) = x² - 4 ; if x is even = 3x – 2; if x is odd solve for f(4) and f(5)
=======================================================
Explanation:
This is a piecewise function as it is composed of two pieces.
The equation for f(x) depends on what x is. Specifically whether it is even or odd.
If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2
------------
f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4
f(x) = x^2 - 4
f(4) = 4^2 - 4
f(4) = 16 - 4
f(4) = 12
------------
When x = 5, x is now odd, so use f(x) = 3x-2
f(x) = 3x-2
f(5) = 3(5) - 2
f(5) = 15 - 2
f(5) = 13
What is the interquartile range (IQR) of the data set below?
Answer:
The Inter Quartile Range is 20.
Step-by-step explanation:
The interquartile range is Q3 - Q1. So first let's find the median (Q2) so we can find Q1 and Q3. Since there is an even amount of numbers, we need to find the average of the middle to numbers. My work is in the attached image.
If this helps, I would appreciate it if you gave me brainliest :)
Answer:
They are right
Step-by-step explanation:
Letters a, b, c, and d are angle measures.
Which should equal 105° to prove that f // g?
Оа
Oь
n
a
Ос
6
750
d
g
Answer:
d
Step-by-step explanation:
In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer: 16384
Step-by-step explanation:
Given: Total marbles = 7 (All are distinct)
Total jars = 4
Assume that, the jar is empty.
When we put marbles in the jar, we need to choose jar each time.
For each marble, total choices = Total jars = 4
Then, by using the fundamental counting principle,
The number of ways to put seven marbles in different colors into four jars =
[tex]4^7[/tex]
= 16384
Hence, the required number of ways =16384
Answer:
your answer is 16384
Step-by-step explanation:
have a nice day.
If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1? A) -2 2 - (-8) + 1 B) -2 2 - 8 + 1 C) (-2) 2 - (8) + 1 D) (-2) 2 - (-8) + 1
Answer:
The answer is D.
Answer: D) (-2)*2 - (-8) +1
Step-by-step explanation:
w = -2.
so the w2 is equal to -2*2
v = -8
so -v + 1 = -(-8) + 1
Put it together and you get (-2)*2-(-8)+1
the parentheses are needed for the first -2 because other wise it'd be -(2*2) instead of (-2)*2
Please help me fast!
Answer:
39.5
Step-by-step explanation:
Let's figure out the equations of l and m first.
For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.
We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:
m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3
The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.
For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:
m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7
The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.
Taking the two equations, let's set 15 equal to y and solve for x:
y = (-5/3)x + 5 ⇒ 15 = (-5/3)x + 5 ⇒ 10 = (-5/3)x ⇒ x = -6
y = (-2/7)x + 2 ⇒ 15 = (-2/7)x + 2 ⇒ 13 = (-2/7)x ⇒ x = -91/2
Let's find the difference:
-6 - (-91/2) = 39.5
The answer is thus 39.5.
~ an aesthetics lover
help pls. Find the period of the graph shown below.
Answer:
Option A. π
Step-by-step explanation:
The period of a simple harmonic motion is the time taken to make one complete circle or oscillation.
Considering the graph given above, we can see that at the completion of one circle, the angle θ, has value as pi (π).
This value is equivalent to the period of the graph.
Therefore, the period of the graph shown above is π.
Graph the following equations and give the slope. Label and (if not using graph paper) mark axis.
14.x=4
15. y = 2
16, 2x - y = 5
17. y - 1 = =(x + 3)
Answer:
Step-by-step explanation:
14. x=4
vertical line(no slope) with one coordinate being (4,0)
15. y=2
horizontal line(no slope) with one coordinate being (0,2)
16. 2x-y=5
slope= 2; two coordinates are (0,-5) and (2,-1)
17. y-1=(x+3)
slope= 1; two coordinates are (-4,0) and (0,4)
HOPE THIS HELPS!!! :)
SOMEONE PLS HELP I WILL GIVE BRAINLIEST
factor x^(n+2)+x^(2)
pls explain too :>
Answer:
x² (x^n + 1)
Step-by-step explanation:
factor x^(n+2) + x²
= x^(n+2) + x²
= x^n • x² + x² (using law of indices)
= x²(x^n + 1)
please help with this too
Answer:
Step-by-step explanation:
Garden roller is in the shape of cylinder.
So, one revolution = Curved surface area of the cylinder
diameter = 70 cm
radius = 70/2 = 35 cm
h = 100 cm
Curved surface area of the cylinder = 2πrh
= [tex]2*\frac{22}{7}*35*100[/tex]
= 22000 square cm
Area covered in 15 revolutions = 15 * 22000
= 330000 square cm
2) Coin
diameter = 22 mm
r = 22/2 = 11 mm
Volume of coin = 66 mm
πr²h = 66
[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]
The function f(x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2,–1)} Which equation is true?
Answer:
y = -6x + 6
Step-by-step explanation:
To make an equation you need to find the slope first
To do that use the expression y2-y1/x2-x1 (-6)
Now plug that in to y = mx + b
Lastly you substitute any coordinate and find b
y = -6x + 6
Answer:C
Step-by-step explanation: