Answer:
number of message sent by Scott is 23
number of message sent by Christine is 30
number of message sent by Milan is 92
Step-by-step explanation:
Total message sent by Christine,Milan, and Scott : 145
Let number of message sent by Scott be x .
Given that Christine sent 7 more messages than Scott
number of message sent by Christine is x+7
It is also given that Milan sent 4 times as many messages as Scott
number of message sent by Milan is 4*x = 4x.
Thus, sum of message sent by Christine,milan, and Scott in terms of x
= x + x + 7 + 4x = 6x + 7
we already know that Total message sent by Christine,milan, and Scott is 145
thus, 6x + 7 should be equal to 145
6x + 7 = 145
=>6x = 145 - 7 = 138
=> x = 138/6 = 23
Thus,
number of message sent by Scott is x = 23
number of message sent by Christine is x+7 = 23+7 = 30
number of message sent by Milan is 4x = 4*23 = 92
write 3x^2/5 in radical form
Answer:
[tex]3\sqrt[5]{x^2}[/tex]
Step-by-step explanation:
As written, no radical is implied. The expression can be rewritten as ...
(3x^2)/5 = (3/5)x^2
_____
Perhaps you intend ...
3x^(2/5)
The denominator of the exponent becomes the index of the radical:
[tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]
B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers
Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given that: b = [tex]\frac{2}{5}[/tex] of c
i.e b = [tex]\frac{2c}{5}[/tex] ............... 1
2c = 5b
So that;
c = [tex]\frac{5b}{2}[/tex] .................... 2
Also,
4a = 3c
a = [tex]\frac{3c}{4}[/tex] ................ 3
⇒ a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])
a = [tex]\frac{15b}{8}[/tex] ................. 4
15b = 8a
b = [tex]\frac{8a}{15}[/tex] ................. 5
Comparing the derived equations:
From equations 2 and 3,
a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5
From equations 1 and 2,
b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3
But a common value of b = 15, gives;
a : c = 12 : 15 and b : c = 10 : 15
Thus, a : b : c = 12 : 10 : 15
The ratio a:b:c in its simplest form is 15:8:20
Ratios and ProportionsGiven the following parameters
b = 2/5 c4a = 3ca = 3/4cTo get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:
a:b:c = 3/4c : 2/5c :c
Multiply through by 20 to have:
a:b:c = 3/4c * 20 : 2/5c * 20: 20c
a:b:c = 15c:8c:20c
a:b:c = 15:8:20
Hence the ratio a:b:c in its simplest form is 15:8:20
Learn more on ratio here: https://brainly.com/question/2914376
Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are £1 49 each The loose sweets are £0.89 for 100g By calculating the price per gram, determine which is better value. Show your working
To find the better deal divide the price by the weight of each and compare:
1.49 / 120 = 0.012 per gram
0.89/ 100 = 0.0089 per gram
Buying loose is the better deal because the price per gram is smaller
what is 18% of 39 equals what
Answer:
7.02
Step-by-step explanation:
[tex]\frac{18}{100}[/tex] x 39 = 7.02
First write 18% as a decimal by moving the
decimal point two places to the left to get .18.
Next, the word "of" tells us we need to multiply.
So we multiply (.18)(39) to get 7.02.
So 7.02 is 18% of 39.
Jack's brother is 14 years older than him. In six years time, Jack's brother will be twice as old as him. How old is Jack now?
Which of these questions can be answered with a simple yes or no?
O A. Is there an engineering school?
B. What dining options are offered on campus?
C. What sororities and fraternities are available?
D. How much is the tuition?
If the point (9, 5) is translated 6 units left and 5 units up, then find the
translated coordinates of the point.
Answer:
I think it might be (-3,10). I am not a 100% sure.
Step-by-step explanation:
ANYONE, PLEASE ANSWER ALL THESE QUESTIONS AND I WILL MARK HIM/HER BRAINLIEST + 57 PTS.
1. A bag contains 15 balls of which 6 are red, the probability of getting a red ball at random from the bag is
A. 9/15:
B. 6/15:
C. 15/9:
D. 15/6:
2. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 8/21:
B. 2/7:
C. 1/3:
D. 2/3:
3. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
A. 1/13:
B. 1/4:
C. 9/52:
D. 3/13:
Descriptive Type Questions
4. What is the probability from two throws of a dice:
(a) For getting a sum 9 (b) For the total score is a prime number:
5. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?:
Answer:
1.B
2.C
3.D
4.
a)1/9
b)5/12
5.2/5
Step-by-step explanation:
1.
Since there are 15 total outcomes of which 6 are desirable, the probability of randomly getting a red ball is 5/16 or choice B.
2.
Since there are a total of 8+7+6=21 outcomes, out of which 7 are neither red nor green, there is a 7/21=1/3 probability of that outcome, or answer choice C.
3.
Out of the 52 possible outcomes, 12 are face cards. Therefore, the probability of drawing a face card is 12/52=3/13, or answer choice D.
4.
a)
For each die, there are a total of 6 possible outcomes. This means that in total there are 6*6=36 possible combinations. Now, let's do some casework.
If the first die is a 3, then the second die must be a 6. If the first die is a 4, the second die must be a 5. If the first die is a 5, then the second die must be a 4. And if the first die is a 6, then the second die must be a 3. You cannot have any numbers less than 3, because then you would not be able to make the number 9. Therefore, there is a 4/36=1/9 chance of getting a sum of 9.
b)
All of the possible prime numbers that can be formed with the dice are 2, 3, 5, 7, and 11. For 2, there is only one possible situation where this can happen. For 3, there are 2 possible. For 5, there is 4-1, 3-2, 2-3, and 1-4, or 4 possibilities. For 7, there is 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, or 6 total possibilities. Finally, for 11, there is only 5-6 and 6-5, or 2 possible. In total, the probability of getting a prime sum is 15/36=5/12.
5.
The only numbers which are a multiple of 3 or 5 from 1 to 20 are: 3, 5, 9, 10, 12, 15, 18, and 20. This means that out of the 20 total possible options, 8 of them are a multiple of 3 or 5, which is a total chance of 2/5.
Hope this helps!
IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint.
A) (2,-6)
B) (-14, 14)
9 (-16, 12)
D) (2,9)
A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].
The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.
[tex]
x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\
y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2
[/tex]
Now insert the numbers.
[tex]
x_1=2(-2)-(-6)=2 \\
y_1=2(-1)-4=-6
[/tex]
The result is an endpoint at [tex](2,-6)[/tex].
I’ll mark you brainliest!!!
Answer:
C
Step-by-step explanation:
Substitute the x- coordinate into f(x) and if the value is equal to the y- coordinate of the point then the point is on the graph.
A (0, 18)
f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 18 ← not on graph
B (18, 1 )
f(18) = 3 × [tex]6^{18}[/tex] ≠ 1 ← not on graph
C (1, 18 )
f(1) = 3 × [tex]6^{1}[/tex] = 3 × 6 = 18 ← on the graph
D (0, 0 )
f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 0 ← not on graph
PLEASE HELP WILL MARK BRAINLIEST
The figure below has a point marked with a large dot.
First, reflect the figure across the x-axis.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
Original figure: (-6,-5)
final figure: (-6, 5)
Step-by-step explanation:
the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!
are the ratios 1:3 and 4:12 equivalent
Answer:
Yes.
Step-by-step explanation:
When you simplify the ratio of 4:12, dividing it by 4, you will get 1:3.
Answer:
Yes it is equivalent
Step-by-step explanation:
Yes because 1*4= 4
And 3*4=12
That is 1/3 is equivalent to 4/12
You can say that 1:3 is in proportion with 4:12
or 1:3::4:12
How much is $100 U.S. dollars in Canadian dollars?
Answer:
133.98
Step-by-step explanation:
Identify the terms and like terms in the expression.
z + 8 - 4z
Answer:
z and -4z are like terms
Terms: z,8,-4z
like terms: z,-4z
What is the value of x?
Answer:
4
Step-by-step explanation:
LJK is a special right triangle with angle measures of 90° 60° 30°
If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2
LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4
The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13m. What is the actual height of the tower?
Answer: The actual height of the tower is 91m
[tex]\frac{14}{x}=\frac{2}{13} \\x=\frac{14\times13}{2} \\x=91 m[/tex]
The actual height of the tower is 91 m.
What is scale?An indication of the relationship between the distances on a map and the corresponding actual distances.
Given that, The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13 m.
Since, 2 cm = 13 m
1 cm = 13 /2 m
Therefore, 14 cm = 14 × 13/2 = 91 m
Hence, the actual height of the tower is 91 m.
Learn more about scales, click;
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What is the square root of -1
Answer:
i
Step-by-step explanation:
[tex]\sqrt{-1}[/tex] is the same thing as i, which is an imaginary number.
Since you can't take the square root of negative numbers, we use i to do it.
At a clothing store, 15% of the dresses are blue. Which decimal is equivalent to 15%?
Answer:
0.15
Step-by-step explanation:
15% = 0.15
__________________________________
Solution,
15%
=15/100
=0.15
So, 0.15 decimal is equivalent to 15%
Hope this helps
Good luck on your assignment
_______________________________
You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?
Mrs Baker is preparing her students for their exams. The exams are two weeks away. Mrs Baker advises her students to spend 25% of each day revising.
A) How many hours does Mrs Baker expect her students to revise each day?
B)) How many hours in total will the students have revised if they follow Mrs Bakers advise for the next two weeks?
Answer:
A. 4 hours
Step-by-step explanation:
100 divided by 25
Please help! Correct answer only!
There is a raffle for a $380 prize. Out of 100 tickets, one ticket will win the prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$3.80
Step-by-step explanation:
380/100= an expected payoff of 3.8 dollars. Hope this helps!
The admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?
Answer:
1,600
Step-by-step explanation:
C=4.00
A=8.00
C+A=2,350
C=2,350-A
4C+8A=12,400
4(2,350-A)+8A=12,400
9,400-4A+8A=12,400
4A=12,400-9,400
4A=3,000
A=3,000/4
A=750 ADULTS ATTENDED.
C+750=2,350
C=2,350-750
C=1,600 CHILDREN ATTENDED.
what is the value of 2²+5²
Answer:
29
Step-by-step explanation:
2^2 + 5^2
PEMDAS
Exponents first
4+25
Then add
29
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 7
Hey there! :)
Answer:
(2, 3) and (-2, 11).
Step-by-step explanation:
To solve this system of equations, we can set both equations equal to each other:
x² -2x + 3 = -2x + 7
Combine like terms:
x² -4 = 0
Factor using difference of squares:
(x - 2)(x + 2) = 0
Therefore, x = 2 and -2. Plug both of these into an equation to solve for the 'y' value:
f(x) = -2(2) + 7
f(x) = -4 + 7
f(x) = 3
------------------
f(x) = -2(-2) + 7
f(x) = 4 + 7
f(x) = 11
Therefore, the two ordered pairs are (2, 3) and (-2, 11).
determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions. Explain your reasoning. y=4x+6, 2y=8x+12
Answer:
Infinitely many solutions
Step-by-step explanation:
Since you already have y isolated in one equation, you can plug it in and use it in the other equation
2y = 8x + 12
2(4x + 6) = 8x + 12
8x + 12 = 8x + 12
Get the x's to one side
12 = 12
Meaning you have infinitely many solutions.
Try plugging in any x value you can think of and the left side will always equal the right side. so
x = 0 --> 8(0) + 12 = 8(0) + 12
12 =12
x = 1 --> 8(1) + 12 = 8(1) + 12
20 = 20
and so on.
I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12
18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 cats, there are 2r+1 mice, and when there are 6r-27 mice, there are r-5 cats. Find k. Please help, and do not answer with an "I don't know" or "Sorry, this is too hard." Thank you all!
Answer:
k=30
Step-by-step explanation:
The number of mice vary inversely with cats. This is written as:
[tex]Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}[/tex]
When there are 3r-19 cats, there are 2r+1 mice
[tex]2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)[/tex]
When there are 6r-27 mice, there are r-5 cats.
[tex]6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)[/tex]
Taking the values of k above, we have:
[tex]k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7[/tex]
Therefore:
[tex]k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30[/tex]
(Number 8)!!!!!!!!!!!!!!!!
Answer:
B=29
Step-by-step explanation:
you have on the right hand side [tex](7x^{3} y^{3/4}) ^{2}[/tex] which is equal to [tex]49x^{6}yx^{3/2}[/tex] so B=49
What is the angle relationship shown below?
A)Corresponding
B)Same side interior
C)Alternate interior
D)Alternate exterior
E)Vertical
Answer:
The relationship between the angles is alternate exterior angles.
Step-by-step explanation:
Exterior means outside.
Alternate means every other or in this case across form each other.
These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.
Can someone please help me.
Answer:
96
Step-by-step explanation:
Because math
Need help it’s URGENT!
Answer:
either b or c
Step-by-step explanation:
i think
