Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael sent 2 times as many messages as Christine. How many messages did they each send?
Answers
Answer:
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Step-by-step explanation:
Christine, Dale, and Michael sent a total of 71 messages
C + D + M = 71
Dale sent 9 fewer messages than Christine
D = C - 9
Michael sent 2 times as many messages as Christine
M = 2C
Plug-in the numbers.
C + C - 9 + 2C = 71
4C - 9 = 71
4C = 80
C = 20
Now, plug in to other equations for other results.
D = (20) - 9
D = 11
M = 2(20)
M = 40
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Verify?
40 + 20 + 11 = 71.
Related Questions
A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance at the same speed with the current of the river. What is the speed of the boat and what is the current of the river?
Boat speed: Speed of Current:
Answers
Answer: 7 miles/h and 1 miles/h
Step-by-step explanation:
With the speed of current = x + 1
Against the speed of current = x - 1
ATQ
4(x-1) = 3(x+1)
4x-4 = 3x+3
4x - 3x = 3+4
x = 7
Speed of boat = 7miles/h
Current of river = 1 miles/h
please click thanks and mark brainliest if you like :)
Answer:
Hello,
Boat speed=7 miles/h
Current speed = 1 mile/h
Step-by-step explanation:
I am going to try to explain.
Let say V the speed of the boot (V like vitesse in french)
Let say v the speed of the current.
distance=24 miles
[tex]\left\{\begin{array}{ccc}V-v&=&\dfrac{24}{4} \\V+v&=&\dfrac{24}{3} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}V-v&=&6 \\V+v&=&8 \\\end{array}\right.\\\\Adding\ the\ 2\ equations\ and\ substracting\ them \\\\\\\left\{\begin{array}{ccc}2V&=&14 \\2v&=&2 \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}V&=&7 \\v&=&1 \\\end{array}\right.\\\\[/tex]
Boat speed=7 miles/h
Current speed = 1 mile/h
What is 41.095 rounded to 1,2 and 3 significant figures
Answers
Answer:
Step-by-step explanation:
Rounded to 1 sig fig, the number is 40; rounded to 2 sig fig's, the number is 41; rounded to 3, the number is 41.1
Solve the equation below for y. 6x – 3y = 36 A. y = 2x − 12 B. y = 12 − 2x C. y = 12x + 6 D. y = 6 – 12x
Answers
Answer:
y=-12+2x
Step-by-step explanation:
The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
Given is an equation 6x - 3y = 36, we need to solve for y.
To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 6x - 3y = 36
Get rid of the constant term (36) on the right side by subtracting 36 from both sides:
6x - 3y - 36 = 36 - 36
6x - 3y = 0
Divide both sides of the equation by -3 to isolate y:
(6x - 3y) / -3 = 0 / -3
(6x)/(-3) - (3y)/(-3) = 0
-2x + y = 0
Add 2x to both sides to isolate y:
-2x + y + 2x = 0 + 2x
y = 2x
So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
Learn more about Equations click;
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What effect will replacing x with (x - 4) have on the graph of the equation y = (x - 3) ^ 2 ?
a. slides the graph 7 units down
b. slides the graph 4 units up
c. slides the graph 1 unit right
d. slides the graph 4 units right
Answers
Answer:
d. slides the graph 4 units right
Step-by-step explanation:
When you replace x with x - h, the graph shifts h units horizontally.
Here, the replacement is x - 4.
Compare x - 4 to x - h.
h = 4
The shift is 4 units right.
Answer: d. slides the graph 4 units right
if a hexagonal prism has a volume of 539 cubic meters and is 16 meters tall, find the area of the hexagonal base
Base Area= ___ m^2
Answers
9514 1404 393
Answer:
33 11/16 m² = 33.6875 m²
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Solving for B, we find ...
B = V/h
B = (539 m³)/(16 m) = 33 11/16 m² = 33.6875 m²
To make a net from a container, you start by cutting one of the seams along the edge where the two sides meet. If you wanted to make a different net for the container, what would you do differently?
Answers
Answer:
I would not separate the same edges when making a second net. Also, I would make sure that the result cannot be rotated or flipped so that it is the same as the first.
Step-by-step explanation:
A bag contains 2
2
blue marbles, 2
2
red marbles, and 2
2
yellow marbles.
If Jenna randomly draws a marble from the bag (and puts it back) 15
15
times, how many times should she expect to pull a yellow marble?
Answers
Answer:
5 times
Step-by-step explanation:
Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.
Solve the system of linear equations by graphing.
9x + 3y = -3
2x - y = -4
Answers
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( -Screen Shot 1 is for (A) and Screen Shot 2 is for (B) - )
A) [tex]9x + 3y = -3[/tex]
= [tex]y = -3x -1[/tex]
Xmin: -10
Xmax: 10
Ymin: -10
Ymax: 10
~~~~~~~~
B) [tex]2x - y = -4[/tex]
= [tex]y = 2x + 4[/tex]
Xmin: -10
Xmax: 10
Ymin: -10
Ymax: 10
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
Answer:
y= -3x-1 and y=2x+4
Step-by-step explanation:
1. Rearrange the equations to the proper format which would be y=mx+b.
2. You can do this by adding or subtracting on both sides
- start with the first equation. subtract 9x on both sides.
- than divide 3 on both sides
- next equation subtract 2x on both sides
- divide -1 on both sides
which would get you y=-1-3x and y= 4+2x.
3. reagrange this equation again ( this step isn't always necessary)
you will get y= -3x-1 and y=2x+4
Remember M stand for the slope so your slopes for these two equations would be -3/1 and 2/1. Think about rise over run when you use slope. B is the y-intercept which means it will touch the y-axis.
Hope this helped!
The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70
Answers
Answer:
d = 245Step-by-step explanation:
d is directly proportional to the square of a speed v
d = av²
5 = a•10²
5 = 100a
a = 0.05
d = 0.05v²
d = 0.05•70²
d = 0.05•4900
d = 245
The table shows the annual profits (in thousands of dollars) of a county fair from 2013 to 2016. What must the 2017 profit be (in hundreds of dollars) to break even over the five-year period?
Answers
Answer:
8 hundred dollars
Step-by-step explanation:
The break even value means zero profit or loss over the five years period. So if 2017 profit is x, then we get:
2.5 + 1.4 - 3.3 - 1.4 + x = 0x - 0.8 = 0x = 0.8 thousands of dollars x= 800 dollarsTh sum of a number and two is equal to eight
The equation?
Answers
Answer:
2+n = 8
Step-by-step explanation:
2+ something must equal 8.
8 minus 2 = 6
n=6
Answer:
Let the number be n.
According to question,
2+ n =8
=) n = 8-2
=) n =6
hope you understand.
You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here’s the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?
Answers
interesting puzzle,
total CDs=[tex]39[/tex]
country CDs $c$ is half of rock CDs $r$, $r=2c$
and one fourth of soundtrack $s$ as country CDs , $c=4s$
express in common variable s, $r+c+s=39$
$2(4s)+4s+s=39 \implies s=3$
so $c=12$ and $r=24$
after borrowing 3 rock CDs, there be $21$ rock CDs rest will be same
PLEASE HELP ME I NEED HELP
Answers
1/2 x 1/16
1/32
Answer: 1/32
Reason is because fractions have a different function. Multiplying Is multiple both numerator and denominator. Division you have to do KCF: Keep Change Flip then multiply. Subtracting and adding you must have the denominator as the same for both numbers.
Hoped This Helped You
Answer:
V = 1/32 yd^3
Step-by-step explanation:
To find the volume
V= l*w*h where l is length, w is width, and h is height
V = 1/4 * 1/4 * 1/2
V = 1/32 yd^3
Rohan is 2 years elder than rohit. Five years ago , one third of his age was equal to three-sevenths of rohit's age. Clalculate their present ages. pl tell with explanation
Answers
Answer:
I hope it will help you.
have a great day . ☺☺
Answer:
Step-by-step explanation:
Let Rohan age = xLet Rohit age =yx = y + 2
(1/3)* (x - 5 ) = (3/7)(y - 5) Multiply both sides by 3
(x - 5) = 9/7 (y -5) Multiply both sides by 7
7(x - 5) = 9(y - 5) Remove the brackets
7x - 35 = 9y - 45 Add 45 to both sides
7x + 10 = 9y
y = x - 2
7x + 10 = 9(x - 2)
7x + 10 = 9x - 18
7x +10 + 18 = 9x
28 = 2x
x = 14
y = 14 -2
y = 12
All even numbers are
Answers
Answer:
2 4 6 8 10 12 14 16.....................................................
Answer:
even numbers are
Step-by-step explanation:
2,4,6,8,10,12,14,16,18,20,24,26 and so on
please mark me brainliest I will follow youevaluate 15.2% of a 726 + 12.8% of 673
Answers
Answer:
196.496
Step-by-step explanation:
0.152x726+0.128x673
110.352+86.144
=196.496
Can someone help pls it’s a multiple choice question
Answers
Explanation:
An isosceles triangle has a vertex angle of 26°. Two sides of the triangle are each 15 ft long. Find the area of the triangle. A. 9.931 sq ft B. 98.629 sq ft C. 45.543 sq ft D. 49.314 sq ft
Answers
Answer:
D. 49.314 ft²
Step-by-step explanation:
Area = 1/2 s² sinФ
= 1/2 * 15² * sin(26)
= 49.314 ft²
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.
Answers
B
Step-by-step explanation:
Might be wrong
1. (01.03 LC)
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $490.00 and her monthly expenses are $387.10,
what percent of her net pay is left for savings? (2 points)
21%
27%
45%
Answers
Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.
First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.
That is, the percentage indicates what part of a total represents a quantity.
To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.
In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.
Then:
portion of the total= amount of money saved= $102.9total amount= Lillie's current monthly net pay= $490So, the percentage is calculated as:
percentage= (102.9÷490) ×100
percentage= 0.21×100
percentage= 21%
The correct option is: 21 percent of her net pay is left for savings.
Learn more about percentage with this examples:
brainly.com/question/19295956?referrer=searchResultsbrainly.com/question/1301322?referrer=searchResultsWhat is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.
Answers
Answer:
slope = 4
Step-by-step explanation:
recall that for a linear equation in the form:
y = mx + b,
m = slope of line and b is the y-intercept.
In our case, we are given
y = 4x
If we compare this with the general equation above,
we can see that m = 6 and b = 0
hence slope = m = 4
please whats the answer to 8 - 14s + 3g
Answers
Answer:
8 - 14s + 3g
Step-by-step explanation:
None of the terms are like terms so it cannot be simplified
8 is a constant
-14 and 3 are coefficients
s and g are variables
━━━━━━━☆☆━━━━━━━
▹ Answer
8 - 14s + 3g
▹ Step-by-Step Explanation
Since we can't combine like terms, the answer will remain the same as the problem:
8 - 14s + 3g
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Please help
Solve the system of equations shown below.
Answers
Answer:
(6, 4 )
Step-by-step explanation:
Given the 2 equations
2x - 6y = - 12 → (1)
x + 2y = 14 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate x
- 2x - 4y = - 28 → (3)
Add (1) and (3) term by term to eliminate x
- 10y = - 40 ( divide both sides by - 10 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
2x - 6(4) = - 12
2x - 24 = - 12 ( add 24 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
solution is (6, 4 )
SAVINGS ACCOUNT Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?
Answers
Answer:
+$120 - $36
Higher by $84
Step-by-step explanation:
Addition expression is an equation without the equals to sign
$120 - $36
When the first expression was made, the account was higher by $120
After the second transaction, the account would be higher by $120 - $36 = $84
Question 5 of 5
Select the correct answer.
Which of these tables represents a function?
Answers
Answer:
the answer is w
Step-by-step explanation:
the answer to that question is w
Answer: y
Step-by-step explanation:
there can not be two of the same number in the x row
Recall the equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day: Now, open the graphing tool and graph the equation. Use the pointer to determine how many hours of production there are in a day if the average number of non-defective refrigerators produced per hour is 15.
Answers
Answer:
The graph representing the above equation is attached below.
Step-by-step explanation:
The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:
[tex]y=\frac{196-3x}{x}[/tex]
Simplify the expression as follows:
[tex]y=\frac{196-3x}{x}[/tex]
[tex]y=\frac{196}{x}-3[/tex]
The graph representing the above equation is attached below.
On moving the pointer to y = 15, it was determined that the value of x was 10.89.
The point is also plotted on the graph
Answer:
There would be 11 hours of production in a day.
Step-by-step explanation:
Will Mark Brainlest Help Please Please .
Answers
Answer:
i think this is the correct answersStep-by-step explanation:
Mark me Brainlest pleaseA. 264
B. 233
C. 153
D. 268
Answers
9514 1404 393
Answer:
A. 264 mi³
Step-by-step explanation:
The area of the right triangular base is ...
A = 1/2bh
A = 1/2(6 mi)(8 mi) = 24 mi²
Then the volume of the prism is ...
V = Bh . . . . . where B is the base area and h is the distance between bases
V = (24 mi²)(11 mi) = 264 mi³
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Answers
Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.
The 1275 students who accepted admission to Academic University in 2016 had an average SAT score of 1356. Is 1356 a population parameter or a sample statistic?
Answers
Answer:
population parameter
Step-by-step explanation:
A population is said to be category of individuals under study.
A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.
In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.
∴
The average SAT score of 1356 in the given study is a population parameter