Jessica, Hans, and Tom sent a total of 95 text messages during the weekend. Tom sent 3 times as many messages as Hans. Jessica sent 10 more messages than Hans. How many messages did they each send?

Answers

Answer 1

Answer: Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Step-by-step explanation:

Let tye number of messages that Manal sent be x.

Since Eissa sent 10 fewer messages than Manal, this will be:

= x - 10

Abdulrahman sent 3 times as many messages as Eissa. This will be:

= 3(x - 10) = 3x - 30

We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:

x + (x - 10) + (3x - 30) = 95

x + x - 10 + 3x - 30 = 95

x + x + 3x - 10 - 30 = 95

5x - 40 = 95

5x = 95 + 40

5x = 135

x = 135/5

x = 27

Manal = x = 27

Elisa = x - 10 = 27 - 10 = 17

Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51

Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages


Related Questions

what is the percent increase from 3.5 to 3.5

Answers

Answer:

0

Step-by-step explanation:

There is no increase

Answer:

0

Step-by-step explanation:

there is no increase in percent

which one is the bigest and which one is the lowest
5 7/8
6
5.5
5 3/4

Answers

Answer:

Greatest to Least order: 6, 5 7/8, 5 3/4, 5.5

Step-by-step explanation:

First it's 6, then it's 5 7/8 because 5 7/8 = 5.875, then 5 3/4 because 5 3/4 = 5.75, and then 5.5 which is the lowest number.

Nadia is a stockbroker. She earns ​a 12% commission each week. Last​ week, She sold ​$7500 worth of stocks. How much did make last week in​ commission? If she averages that same amount each​ week, how much did she make in commission in​ 2011?

Answers

Answer:900

Step-by-step explanation:

Which equation below matches the relationship shown in the table?

Answers

Answer:

y = 3x + 0.5

Step-by-step explanation:

Write an inequality that represents the verbal expression. 9 less than a number n is less than 17

Answers

Answer:

9<n<17.

Step-by-step explanation:

what will be the value of d when an airplane flies at 420 miles per hour for three hours?

Answers

Answer:

1260 I think

Step-by-step explanation:

because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260

Find the measure of angle A.​

Answers

Answer:

60 degrees sorry if its wrong

Step-by-step explanation:

At 7:00 a.m. the temperature was -4°F.At 9:00 a.m. it was 8 degrees warmer .what was the temperature at 9:00 a.m.

Answers

Answer:

The temperature was +4°F.

Step-by-step explanation:

The temperature got warmer by 8°F (or two sets of 4°F).

-4°F warming up to 0°F is the first set of 4°F. The second set of 4°F takes it from 0°F to +4°F.

Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)

(1,6)

(2,6)

(2,5)

(1,5)

2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?



(1 point)

Their intersection point is the only point where different inputs into both functions yield different outputs.

Their intersection point is the only point where the same input into both functions yields different outputs.

Their intersection point is the only point where different inputs into both functions yield the same output.

Their intersection point is the only point where the same input into both functions yields the same output.


3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Answers

Answer:

2,6

Step-by-step explanation:

Answer:

1. (2,6)

2. C

3. B

Step-by-step explanation:

y = - 2x + 10

y = x + 4

SInce the two equation both equal y, we can said they are equal.

- 2x + 10 = x + 4

      - 10        - 10

- 2x = x - 6

- x     - x

- 3x = - 6

/-3        /-3

x = 2

Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.

- 2(2) + 10 = 2 + 4

- 4 + 10 = 6

6 = 6

This is true since both sides are equal.

The point that intersects y=-2x+10 and y=x+4 is (2,6).

2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?

C) Their intersection point is the only point where different inputs into both functions yield the same output.

Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).

3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.

y = - 1/3x + 5

y = - 1/3(0) + 5

y = 5

Point: (0,5)

Slope: - 1/3

Rise over run (y/x) so up 3 and left 1.

B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

Radha is trying to choose between two bike rental companies, Company A and Company B.

Company A charges a $25 initial fee and an additional $5 for each hour rented. Company B charges an initial $18 fee and an additional $6 for each hour rented.

The total cost to rent a bike from Company A can be represented by the equation y = 5h + 25, where h represents the number of hours rented and y represents the cost, in dollars.

The total cost to rent a bike from Company B can be represented by the equation y = 6h + 18.

For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?

Part A:The number of hours when the rental amount charged will be the same is

Part B:The cost of renting the bike for this many hours is

Answers

Answer:

Part A. After 7 hours the amount charged will be the same

Part B. The cost of renting the bike for that many hours (7) will be 60$.

Step-by-step explanation:

5h + 25 = 6h + 18

5h - 6h = 18 - 25

-h = -7

h = -7/-1

h = 7

Company A.

y = 5h + 25

y = (5*7) + 25

y = 35 + 25

y = 60

Company B.

y = 6h + 18

y = (6*7) + 18

y = 42 + 18

y = 60

Find the value of x. Round to the nearest degree.
15
12

Answers

Answer:

153 degrees

Step-by-step explanation:

15+12=27

180-27=153

What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?

Answers

Answer:

the correct answer is a

The correlation between the ages of husbands and wives if men always married woman who were :

(a) 3 years younger than themselves

Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables:  According to our constitution,  the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.

Therefore, the correct answer is a.

Learn more :

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Use the line tool to graph the equation on the coordinate plane.
y = 3/4x

Answers

Step-by-step explanation:

in the equation y=mx+b, m corresponds to the slope, and b corresponds to the y-intercept. Since b is 0 at this case, we will start at (0,0). From here you can graph the line with the slope. Since it is 3/4, you would move up 3 units, and to the right 4 units to end up with the point (4,3). Now you have the two points (0,0) and (4,3), so all you need to do is connect them to form the line.

Pls answer I will mark

Answers

It’s C or 6x-4=8. Just count the sticks as x and the squares as units.

Answer:

c. 6x - 4 = 8

Step-by-step explanation:

what is v
v−5/6=−7/8

Answers

Answer:

here,

v-5/6=-7/8

v=-7/8+5/6

v= -1/24

1.) Look at the figure below.
A
+5
3x
B
What is the measure of ZB?
A 35°
B
71°
С
760
D 105°

Answers

Answer:

D

Step-by-step explanation:

What's a common denominator for 1/2 and 1/14 SOMEONE PLEASE HELP IM ABOUT TO TAKE A TEST!!!!!!!!!!!

Answers

Answer: common denominator between 2 and 14 is 28 add 14 twice and you’ll get an even number now find out how many times you multiplied by two

Step-by-step explanation:

Answer: a common denominator for 1/2 would be 4 and for 1/14 it would be 28

Step-by-step explanation: to find common denominator you can either multiply or divide, but in this situation since the numerator is one you can only multiply. i chose to multiply them by 2.

1 x 2 = 2 = 2/4

2 x 2 = 4

1 x 2 = 2 = 2/28

14 x 2 = 28

Solve for x.
(17x –23)
°
(8x –4)
°
(3x + 17)°

Answers

Answer:

=28x −10

Step-by-step explanation:

28x

The value of x will be;

⇒ x = 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 17x - 23 = (8x - 4) + (3x + 17)

Now,

Solve the expression as;

The expression is,

⇒ 17x - 23 = (8x - 4) + (3x + 17)

⇒ 17x - 23 = 8x - 4 + 3x + 17

⇒ 17x - 23 = 11x + 13

⇒ 17x - 11x = 23 + 13

⇒ 6x = 36

⇒ x = 6

Thus, The value of x will be;

⇒ x = 6

Learn more about the mathematical expression visit:

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#SPJ2

WILL GIVE BRAINLEST PLZZZ HELPP MEEEE

Answers

Answer: its C

Step-by-step explanation:

Please help meeeeeee will brainliest

“ Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division”

Answers

Answer and equation: If we choose two whole numbers; 8 and 10

We want to divide certain numbers by 8 and 10 to get 9 remainder 5.

In this case; 77 divided by 8 is equal to 9 rem 5

and 95 divided by 10 is equal to 9 rem 5

To justify which is greater, we use decimal division;

= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)

and

= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)

Therefore; the first case is greater since 9.625 is greater than 9.5

That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.

There are three customer service operators manning a helpline: Alex, Bobby, Charlie. Charlie is relatively new and takes one third as many calls as Bobby. Alex handles 6 times as many calls as Charlie.

What proportion of calls does Bobby handle?

Answers

Answer:

Bobby answers 30% of all phone calls.

Step-by-step explanation:

To determine the proportion of calls that Bobby answers in the call center, knowing that Charlie handles one third as many calls as him, and that Alex handles six times as many calls as Charlie, the following equivalence must be made:

A = 6 C (1/3B x 6 = 2B)

B = B

C = 1/3 B

2B + B + 1/3 B = 100

3 1/3 B = 100

3.33 B = 100

B = 100 / 3.33

B = 30

Therefore, Bobby answers 30% of calls, Alex answers 60% and Charlie 10%.

A painter can paint 180 square feet per hour. He charges $0.35 per square foot. Today he paints for 3.5 hours. How much will he charge?

Answers

Answer:

i think it's 1800

Step-by-step explanation:

if it's wrong i'm so sorry :)

The price charged for 630 square feet is $220.5

If a painter can paint 180 square feet per hour, the amount he will paint in 3.5 hours will be 3.5 * 180 = 630 square feet

If the painter charges $0.35 per square foot, the price for 630 square feet will be expressed as 0.35 * 630 = $220.5

Hence the price charge for 630 square feet is $220.5

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4. In a normal distribution with u=150, o = 12.5 find P(x < 145).

Answers

Answer:

i know it hard but i know u get there

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?

Answers

Answer: (-6, - 6)

Step-by-step explanation:

Here we have two transformations, and the first step will be to explain those transformations:

Reflection over the y-axis.

For a function f(x), the reflection over the y-axis is written as:

g(x) = f(-x)

Then if we initially had a point (x, y), the transformed point will be (-x, y).

Vertical translation.

We can define a vertical translation of N units as:

g(x) = f(x) + N

if N > 0, the translation is up.

If N < 0, the translation is down.

Then if we start with a point (x, y), the transformed point will be (x, y + N)

In the case of this problem we have g(x) = f(-x) - 3

This means that N = -3

Then if we initially had the vertex at the point (6, - 3)

The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:

(-6, -3 - 3) = (-6, - 6)

The vertex of the resulting  parabola will be (-6, -6)

Rule of reflection

Given the function y= f(x), plotted on a graph and the vertex of the resulting

parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:

[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)

To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]

[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]

Hence the vertex of the resulting  parabola will be (-6, -6)

Learn more on reflection here: https://brainly.com/question/14460986

Rajiv paid using a 10 bill how much will she receive

Answers

Answer:

She will receive the change

Step-by-step explanation:

there no context to this question

Answer:

shes gonna receive her change

Step-by-step explanation:

;-; there is no instruction to your question

How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
a. 2.
b. It will depend on the total sample size.
c.4.
d. 8.

Answers

Answer:

A. 2

Step-by-step explanation:

Degree of freedom is expressed according to the formula as shown;

Degree of freedom = Sample size (Treatments) - number of parameters(Block)

Given

Number of treatments = 5

Number of blocks = 3

Degree of freedom = 5 - 3

Degree of freedom = 2

Hence the error will have 2 degrees of freedom in the randomized block design.

For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain during some period on both of the next two days, what is the probability that the first drop of rain will be felt between 9:15 AM and 2:50 PM on both days

Answers

Answer:

The required probability = 0.0541

Step-by-step explanation:

From the given information:

The probability that it will rain throughout the day is uniformly distributed & independent of the surrounding days.

Assuming that (P₁)  represents the probability that it will rain between 9:15 am to 2:50 pm on day 1.

The time interval is 5 hours 35 minutes long.

= 5.583333 hours long

Thus;

P₁ = 5.583333/24

P₁ = 0.2326

Assuming that (P₂)  represents the probability that it will rain between 9:15 am to 2:50 pm on day 2.

P₂ = P₁ = 0.2326

Therefore, the total probability = P₂ × P₁  (independent events)

= 0.2326 × 0.2326

= 0.05410276

0.0541

 

r. Powell just started an experiment. She will collect data for 8 days. How many hours is this?

Answers

Answer:

192 hours

Step-by-step explanation:

24 hours = 1 day

8 x 24 = 192

WILL GIVE BRAINLIEST. It is also worth 34 POINTS!!! PLEASE HELP!!!! Please respond in full sentences. I appreciate your help. Thank you!!

Answers

Answer: 1 orange would be 50 cents.

b) the ordered pairs 12,10 means that there are 12 pounds of oranges and they cost $10 dollars

Step-by-step explanation:

X+8=13
That’s my question

Answers

x+8 = 13
subtract 8 from both sides
x= 5
hope this helps! please mark brainliest

Answer:

x = 5

Step-by-step explanation:

x + 8 = 13

x = 13 - 8

x = 5

Hope this helps :)

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