Given:
The mean number of emails adele received during a week was 51.
The numbers received for the six days were 39, 57, 70, 45, 71, 32.
To find:
The number of emails received on the seventh day.
Solution:
Let x be the number of emails received on the seventh day.
We know that,
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]51=\dfrac{314+x}{7}[/tex]
Multiply both sides by 7.
[tex]357=314+x[/tex]
Subtract 314 from both sides.
[tex]357-314=x[/tex]
[tex]43=x[/tex]
Therefore, she received 43 emails on the seventh day.
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
Answer:
h= -20
t = -0.104 and -2.39s
Step-by-step explanation:
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
The velocity of the body at its maximum height is zero
V= dh/dt
dh/dt = 32t + 40
0 = 32t+40
-32t = 40
t = 40/-32
t = -1.25s
Substitute t = -1.25 into the expression
h(t)=16t^2+40t+4.
h(-1.25)=16(-1.25)^2+40(-1.25)t+4.
h = 16(1.5625)-50+5
h = 25-45
h =-20
Hence the maximums height is -20m
The ball will reach the ground at h = 0
Substitute
h(t)=16t^2+40t+4.
0 = 16t^2+40t+4
Divide through by 4
0 = 4t²+10t+1
Factorize
-10±√10²-4(4)/2(4)
t = -10±√100-16/8
t = -10±√84/8
t =-10+9.17/8
t = -0.83/8 and -19.17/8
t = -0.104 and -2.39s
whats 1+1+8-3+5-8+4-8+3-5+8-7-7+5+4+3+9+8+2+14+78+
Answer:
115
Step-by-step explanation:
Hope this helps! Brainliest is appreciated!! Happy Holidays!!!
Answer:
The answer of this question is 123
33% of what number Is 1.45?
ANSWER : Approximately 4.39
WHY? : You must round up the answer "x=4.3939". If thought of like .33X=1.45, then you divide 1.45 by .33
what is the slope of the line
PLSSS HELPPP
Can somebody plz answer both these questions correctly thanks!! (Word problem)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
a. 40%
b. 7.5%
Step-by-step explanation:
a. 60/ 150 x 100
b. 4.5/ 60 x 100
I will mark brainliest!!!!!
Answer:
we need to c the triangle before we can answer btw
Step-by-step explanation:
Answer:
A' = (6, 1)
B' = (4, -1)
C' = (-6, 1)
Step-by-step explanation:
Use the rule 90° Clockwise: (x, y) ⇒ (y, -x).
I hope I helped and have a great day! ^-^
Find three consecutive even integers such that the sum of the second and third is 3 times the first integer.
Answer:
[tex]6[/tex], [tex]8[/tex] and [tex]10[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] smallest consecutive even integer.
Since the second and third consecutive even integers can be expressed by our smallest even consecutive integer, we can express them as:
Second consecutive even integer = [tex]x+2[/tex]
Third consecutive even integer = [tex]x+4[/tex]
From "the sum of the second and third is 3 times the first integer", we can write:
[tex]x+2+x+4 = 3x[/tex]
[tex]2x+6 = 3x[/tex] (collect like-terms)
[tex]x=6[/tex]
∴ The first consecutive even integer is 6
Now, we can use substitution to find the values of the second and third consecutive even integers:
Second consecutive integer = [tex]x+2[/tex]
[tex]=6+2[/tex]
[tex]=8[/tex]
Third consecutive integer = [tex]x+4[/tex]
[tex]=6+4[/tex]
[tex]=10[/tex]
∴ The three consecutive even integers are [tex]6[/tex], [tex]8[/tex] and [tex]10[/tex].
Hope this helps :)
Tom and his friend both purchased some CD’s from an online store. The CD’s were all the same price. Tom purchased 5 CD’s for $80.00 and his friend purchased 3 CD’s for $52.00. Let x represent the number of CDs purchased, and y represent the total cost of the CDs. Write the equation in slope intercept form (y=mx+b). Show your work? NEED ASAP!
9514 1404 393
Answer:
y = 14x + 10
Step-by-step explanation:
We are given two points, (x, y) = {(5, 80), (3, 52)}. The 2-point form of the equation for a line can be used to find the equation.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (52 -80)/(3 -5)(x -5) +80 . . . . . fill in the given values
y = (-28/-2)(x -5) +80 . . . . . simplify a bit
y = 14x -70 +80 . . . . . eliminate parentheses; next, collect terms
y = 14x +10
Plz, Help me with this question.
What is the product of (4i) and (4+i)
Answer:
-4 + 16 i
Step-by-step explanation:
You are dealing with imaginary numbers so i dont remember y but i know that it is that answer
Answer:
- 4 + 16i.
Step-by-step explanation:
4i(4 + i)
= 16i + 4i^2 Now i^2 = -1 so we have:
16i - 4 (answer)
Minnie is making tea. She knows that her tea tastes best if she lets her tea bag sit in the hot water for exactly fifteen minutes. However, depending how hot the water is, she may have to leave her tea bag in the water for 2 minutes more or less than usual. Write and solve an absolute value equation to describe this situation
Answer:
|x - 2| = 15 ; |x + 2| = 15
Step-by-step explanation:
Given that:
Wait time = 15 minutes
Variation in wait time depending on level of hotness = 2 minutes
X ± 2 = 15
x + 2 = 15 or x - 2 = 15
x = 15 - 2 = 13 or x = 15 + 2 = 17
Hence, to express the above as an absolute value equation :
|x - variation| = mean time
|x - 2| = 15 ; |x + 2| = 15
Please help im bad at this pls dont just steal my points =(
Answer:
the slope is a positive and the point is (-1,-2) the equation is 3=(×1,2)
Step-by-step explanation:
if im wrong im so sorry
EASY 7TH GRADE MATH QUESTION FIRST PERSON MARKED BRAINLIEST!
Answer:
30.
Step-by-step explanation:
If 8 boxes of crayons cost $20 , what would 6 boxes cost ?
Answer:
$15
Step-by-step explanation:
To figure thsi out, you do 20 divided by 8, which gives you 2.5 ($2.50.)
Next you do 2.50 x 6 which gives you 15 ($15.)
The answer is $15.
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!
- •Trix•
( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
A hotel puts out 1 apple for every 3 orange as the fruit for their breakfast buffet. Write a ratio of apples compared to all the fruit. *
Answer:
1:4
Step-by-step explanation:
In the ratio:
Number of apples: 1
Number of oranges: 3
Total number of pieces of fruit: 3 + 1 = 4
apples : all fruit = 1:4
Answer: 1:4
The ratio of apples compared to all the fruit will be 1: 4.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A hotel puts out 1 apple for every 3 oranges as the fruit for their breakfast buffet.
The ratio of apples compared to all the fruit will be given as,
Apple: Fruits = 1: (3 + 1)
Apple: Fruits = 1: 4
The ratio of apples compared to all the fruit will be 1: 4.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Where is the circumcenter of this triangle located?
O at a vertex of the triangle
O outside the triangle
Thing
O on a side of the triangle
O inside the triangle
Answer:
I don't see a picture but the circumcenter is usually inside the triangle.
Select the correct locations on the graph
select the lines that represent functions
Step-by-step explanation:
Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.
The lines outlined in a black box are the correct answers.
Answer:the other person is right
Step-by-step explanation:
SOLVE FOR x:
4x^2+6x=10
Happy Holidays! =)
[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]
4x² + 6x = 10
Move 10 to the other side so we can factor the trinomial:
4x² + 6x - 10 = 0
Factor the GCF, or 2 out of the equation:
2(2x² + 3x - 5) = 0
Factor the terms inside of the parenthesis:
2(2x + 5)(x - 1) = 0
Disregard the coefficient of 2 and set each factor equal to 0:
2x + 5 = 0
2x = -5
x = -5/2
x - 1 = 0
x = 1
The values of x are -5/2 and 1.
which expression is equivalent to
2(3g-4)-(8g+3)?
-2g-1
-2g-5
-2g-7
-2g-11
Answer:
-2g - 11
Step-by-step explanation:
Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.
2(3g-4) - (8g+3) = 6g - 8 - 8g - 3
Evaluate like terms.
6g - 8 - 8g - 3 = -2g - 11
what does x equal in 3.8x = -19
Answer:
x=5
Step-by-step explanation:
3.8x5=19 so 19 divided by 5 = 3.8
PLEASEEEEE HELPPPP!
Answer:
it is not 3.
l think correct answer is 2 .
Step-by-step explanation:
(y-b+a):m
its due today and please give a step by step answer
Answer:
x=3.333 or 10/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-(2*(-6*x+18)+14)=0
Pull out like factors :
-6x + 18 = -6 • (x - 3)
to make 3x - (-12 • (x - 3) + 14) = 0
Pull out like factors :
15x - 50 = 5 • (3x - 10) to get
5 • (3x - 10) = 0
Solve : 3x-10 = 0
Add 10 to both sides of the equation :
3x = 10
Divide both sides of the equation by 3:
x = 10/3 = 3.333
Answer:
f
Step-by-step explanation:
substitue the y
3x=2(-6x+18)+14
distrubute
3x=-12x+36+14
combine like terms
3x=-12x+50
add -12x on both sides
15x=50
divide 15 on both sides
x=50/15
simplify
x=10/3
A plumber charges a flat fee of $50 plus an additional $20 per hour.
a) Write and equation in slope-intercept form to represent the total cost the plumber will charge
b) How much will it cost for the plumber to work for 4 hours
c) how many hours must the plumber work to obtain $180?
Answer:
a) cost = 50 + 20x, where x is the number of hours worked for.
plot cost on the y-axis and hours on the x-axis.
b) cost = 50 + 20 x 4 = $130
c) 180 = 50 + 20x
130 = 20x
6.5 = x
additional charges increment every hour, so the plumber must work for 7 hours before they obtain $180.
Step-by-step explanation:
Tanya is at a fair and has $30 to spend on x number of rides and y number of games. Each ride is $2 and each game is $3. The equation 2x+3y=30 represents this scenario. If Tanya does not play any games, how many rides can she go on?
Answer:
15 rides
Step-by-step explanation:
From the above Question we know that if Tanya goes on a ride, the Algebraic expression = 2x
Where x = number of rides
If Tanya does not play any games, how many rides can she go on?
Note that: Tanya has $30 to spend
This question is solved:
2x = $30
x = $30/2
x = 15 rides
Hence, if Tanya does not play any games she can go on 15 rides
If contact lenses cost 80$ how much will they cost if they are with 10% off?
10% of 80 = 8
80 - 8 = 72
if they are 10% off, the contact lenses will cost $72
8.75x-2 i need help please
Answer:
-17.5
Step-by-step explanation:
there we go I can finally anwser here ya go have a good night keep working good :)
The rectangular floor of a classroom is 36 feet in length and 24 feet in width. A scale drawing of the floor has a length of 12 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer:
40 in
Step-by-step explanation:
36/12=3
24/3=8
12+12+8+8=40
The perimeter of the floor in the scale drawing is 40 inches.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
If the rectangular floor of the classroom has a length of 36 feet and a width of 24 feet, then the perimeter of the floor can be calculated as:
P = 2L + 2W
P = 2(36) + 2(24)
P = 72 + 48
P = 120 feet
We are given that the scale drawing of the floor has a length of 12 inches. This means that 12 inches on the scale drawing represent 36 feet in real life.
To find the perimeter in inches on the scale drawing, we can use the following proportion:
12 inches / 36 feet
= x inches / 120 feet
Simplifying this proportion, we get:
x = (12 inches / 36 feet) x 120 feet
x = 40 inches
Therefore,
The perimeter of the floor in the scale drawing is 40 inches.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ3
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x – 15y = 135
Answer:
Step-by-step explanation:
Slope-intercept form means the equation of a line should be in this form:
[tex]y=mx+b[/tex]
So we re-write our equation into this form like this:
[tex]6x-15y=135\\-15y=-6x+135\\y=\frac{-6x+135}{-15} \\\\y=\frac{-6x}{-15}+\frac{135}{-15} \\\\y=\frac{2}{5}x-9 \\[/tex]
Can someone please solve number 9 and ten please
Answer:
In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!
Step-by-step explanation:
can someone tell ne the equation of this word problem.
will give brainliest
Answer:
Dude. The word problem is non-existent.
Answer:
????
Step-by-step explanation:
there ain't nothing 2 solve