Answer:
Edna = 56.5
Elsa = 57.5
Step-by-step explanation:
Represent Edna age with x; Elsa age will be x + 1
So,
[tex]x + x + 1 = 114[/tex]
[tex]2x + 1 = 114[/tex]
Make 2x the subject
[tex]2x = 114 - 1[/tex]
[tex]2x = 113[/tex]
Solve for x
[tex]x = 113/2[/tex]
[tex]x = 56.5[/tex]
Elsa age is calculated as thus;
[tex]Elsa = x + 1[/tex]
[tex]Elsa = 56.5 + 1[/tex]
[tex]Elsa = 57.5[/tex]
...........I need help......
The anwer is B, f(x)=9500-750x
Hope this helps, brianliest if you can!
what is the sale tax on a $14,500 truck if the tax rate is 9%
Answer:
$15, 805.00
Step-by-step explanation:
Tax is based on the state you live in.
Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamika plans on
bringing 712 pounds of homemade fudge to sell.
How many pieces of fudge will Tamika be able to sell at the carnival next Sunday?
Answer:
hshshshshshshshsiqkZjfdudiodjfhfbbxdudijdd
PLEASE HELP ME
A tuna chased its prey at a steady speed for 6.0 seconds. The tuna swam 7.8 m during the chase. What was the tuna speed? Write your answer to the tenths place
Answer:
1.3 meters per sec
Step-by-step explanation:
7.8/6=1.3
hope this helps :3
if it did pls mark brainliest ^^
How can I prove my teacher I’m an advanced kid?
Answer:
tell them that you would like them to reconsider your level in whatever class that is
Step-by-step explanation:
Answer:
Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.
Step-by-step explanation:
hope this helped
im so dumb i cant solve it for my sis cause i dont remember TwT
Answer:
The third answeer
Step-by-step explanation:
Also nice talk
The coordinates of the point 3/10 of the way from A(-3,-8) to B(11,4) are ___?
Answer:
The coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)
Step-by-step explanation:
to calculate the point 3/10 of the way from A to B, let us first find the difference in the coordinates of the point
Change in x coordinate: x₁ = -3, x₂ = 11
= x₂ - x₁ = 11 - (-4) = 11 + 4 = 15
3/10 of 15 = 0.3 × 15 = 4.5
This means that the point on the x axis is 4.5 points away from x₁
= -4 + 4.5 = 0.5
Change y coordinate: y₁ = -8, y₂ = 4
= y₂ - y₁ = 4 - (-8) = 4 + 8 = 12
3/10 of 12 = 0.3 × 12 = 3.6
This means that the point on the y axis is 3.6 points away from y₁
= -8 + 3.6 = -4.4
Therefore the coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)
Question 8
A log with diameter 60 cm is 3 m in length its hollow centre is 20 cm in diameter.
Find the surface area of the log in cm', including the ends and the inside, correct to one decimal place.
Answer:
The surface area of the log including the ends and the inside is 80424.8 cm²
Step-by-step explanation:
To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.
From the question,
Diameter of log = 60 cm
Length of log = 3 m = 300 cm
Diameter of hollow center = 20 cm
For the surface area of the outer part,
Area of the outer part = Circumference of the outer part × length
Circumference = 2πr = πd
∴ Area of the outer part = πd × l
(NOTE: d here is the diameter of the log)
d = 60 cm and l = 300 cm
Area of the outer part = 60π × 300 = 18000π cm²
For the surface area of the inner part,
Area of the inner part = Circumference of the inner part × length = πd × l
(NOTE: d here is the diameter of the hollow center)
d = 20 cm and l = 300 cm
Area of the inner part = 20π × 300 = 6000π cm²
For the surface area of one end
This is the difference between the area of the outer end and the area of the inner end
Here, we can determine the area by using
Area = πr², where r is the radius
Radius = Diameter / 2
Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm
Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm
∴ Surface area of one end = πR² - πr² = π(R²-r²)
= π (30²-10²)
= π (900 - 100)
= 800π cm²
This is the area of one end
For the two ends,
Area of the two ends = 2 × 800π cm² = 1600π cm²
Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²
Surface area of the log = 25600π cm²
Putting the value of π (π = 3.141592654)
Surface area of the log = 25600 × 3.141592654 cm²
Surface area of the log = 80424.77193 cm²
Surface area of the log = 80424.8 cm²
Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)
Translate the given phrase into an algebraic expression and simplify if possible: the product of −4 and 16
Answer: -4 x 16, -48
Step-by-step explanation:
word phrase: -4 x 16
symplified = -48
product means multiply
An electrican's shop charges $55
service fee plus $50 per hour for labor.
The linear equation that models
C= $50+ $55, where h is the number of labor hours and C is the total cost.
How much would the shop charge a customer for a job that takes 17hrs?
Answer:
$905
Step-by-step explanation:
$50×h+55=?
h=17 and you pay so $50×h
so $50×h=850
so now that you calculated the cost of the labor add the $55 dollar service fee
850+55=905
Finding the Slope of a Line from a Table What is the slope of the linear function represented in the table?
-7
-1/7
1/7
7
Main Menu
Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6
Answer:
c = 4
Step-by-step explanation:
Solve for"c" in the following equation:
- 8 c + 7 = - 25
Subtract 7 from both sides:
- 8 c = - 25 - 7
combine like terms
- 8 c = -32
divide both sides by "-8" to isolate c on the left
c = - 32 / (-8)
c = 4
State the domain of the following mapping
Answer:
where's the map
Step-by-step explanation:
Viel
Eram
back
A movie theater has 4 groups of seats. The largest group
of seats, in the middle, has 21 rows, with 21 seats in each
row. There are 2 smaller groups of seats on the sides, each
with 21 rows and 7 seats in each row. A group of seats in
the back has 6 rows, with 33 seats in each row.
Step by s
How many seats are in the movie theater
Textbod
side
middle
side
Print
Part 1 out of 6
Complete the explanation for what you need to know.
of the movie theater.
You need to find the number of sections that are in each row
Check
Next
Tuin
Se
and Close
Oo
Answer:
933 seats
Step-by-step explanation:
Given that :
4 different group of seats are in a movie theater :
The middle group ; 2 side groups and the back group
Number of seats in the movie theater :
THE MIDDLE GROUP:
21 Rows and 21 seats per row
Number of seats = 21 * 21 = 441 seats
THE SIDE GROUPS:
21 rows and 7 seats per row
Number of seats = 2(21 * 7) = 294 seats
BACK GROUP:
6 rows and 33 seats per row
Number of seats = 6 * 33 = 198 seats
Total number of seats :
441 + 294 + 198 = 933 seats
Sharon went bowling with her friends. She paid $3 to rent
her shoes and then $3.75 for each game (x) of bowling. She
spent a total of $18. How many games did she bowl?
WRITE YOUR EQUATION:
SOLVE:
SOLUTION:
Answer:
3 + 3.75x=18
subtract 3 from both sides
3.75x=15
divide by 3.75 on both sides
x=4
Step-by-step explanation:
Please help number 5 thank you
Answer 2,290 of total sheets of paper she bought.
Step-by-step explanation:
65x36=2340
subtract 50 for the black pages that she did not use.
2340-50=2,290
Answer:
743487 uhy7ujnuh
3.Pete has a 15-foot ladder. The safety instructions recommend he should have the base of the ladder 6 feet from the base of the wall he will lean the ladder against. How high will the ladder reach on the wall?
Answer:
13.7
Step-by-step explanation:
A{2} + B{2} =C{2} \\
6{2} +B{2} =15{2} \\
6x6+B(2) =15x15\\
36+B(2)=225\\
-36\\
\sqrt{189} =13.7
Why is it important to know where formulas come from?
to be able to derive the formula if needed
to be certain of calculations
to develop number sense
to memorize math symbols
Answer:
to be able to derive the formula if needed
Step-by-step explanation:
as you gain more class grades they sometimes ask you the origin of a certain formula that's why
Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At what location os the vessel in distress located? Describe how you arrived at your conclusion using complete sentences.
I've attached an image showing the coordinates of Ship A and Ship B.
Answer:
distressed vessel is located at (1, 1.5)
Step-by-step explanation:
From the image attached, we can see that;
Coordinate of ship A is (3, 4)
Coordinate of ship B is (1, 1)
Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.
This means that the distressed ship is somewhere in between ship A & B.
To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.
Now, if we do that, we will see that they will intersect at the point; (1, 1.5)
Thus,distressed vessel is located at (1, 1.5)
in the diagram of the collinear points, PT=20 QS=6 and PQ= QR= RS. find each lenght
Answer:
QR=3, PQ=3, RP=6, SP=9, RS=3, ST=11, RT=14, QR=3
Step-by-step explanation:
estimate the answer for 1 2/3 x 5 1/10 (type a whole number
Answer:
Exact Form:
17/2
Decimal Form:
8.5
Mixed Number Form:
8 1/2
Find the slope given the points (3,5), and (-2,5).
Answer:
m = − 2
Step-by-step explanation:
Find the value of x. PLEASE HELP - test tomorrow
The answer is 39.
I need to show my work.
THANK YOU!!!!!
Answer:
39
Step-by-step explanation:
b+25+296=360
b+321=360
b=360-321
b=39
Problem 7-35 A satellite range prediction error has the standard normal distribution with mean 0 NM and standard deviation 1 NM. Find the following probabilities for the prediction error: (a) less than 1.17 NM Probability (b) between 1.04 NM and 1.99 NM Probability (c) greater than 0.93 NM Probability (d) between 0.24 NM and 0.73 NM Probability (e) less than or equal to 2.3 NM Probability (f) greater than 2.22 NM or less than .65 NM Probability (g) greater than or equal to 2.0 NM Probability\
Answer:
Kindly check explanation
Step-by-step explanation:
For a normal distribution with :
Mean(m) = 0
Standard deviation (s) = 1
Calculate :
(a) less than 1.17 NM Probability
Zscore = (x - m) / s = (1.17 - 0) / 1 = 1.17
P(z < 1.17) = 0.879
(b) between 1.04 NM and 1.99 NM Probability
Zscore = (x - m) / s = (1.04 - 0) / 1 = 1.04
P(z < 1.04) = 0.8508
Zscore = (x - m) / s = (1.99 - 0) / 1 = 1.99
P(z < 1.99) = 0.9767
(0.9767 - 0.8508) = 0.1259
(c) greater than 0.93 NM Probability
P(Z > 0.93) = 1 - p(Z < 0.93) = 1 - 0.8238 = 0.1762
(d) between 0.24 NM and 0.73 NM Probability
P(Z < 0.24) = 0.5948
P(Z <0.73) = 0.7673
0.7673 - 0.5948 = 0.1725
(e) less than or equal to 2.3 NM Probability
P(Z ≤ 2.3) = 0.9893
(f) greater than 2.22 NM or less than .65 NM
P(Z > 2.22) = 1 - p(Z < 2.22) = 1 - 0.9868 = 0.0132
P(Z < 0.65) = 0.7422
0.7422 - 0.0132 = 0.729
(g) greater than or equal to 2.0 NM Probability
P(Z ≥2) = 1 - p(Z ≤ 2)
1 - 0.97725 = 0.02275
A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of LaTeX: 50cm^3/hr. At what rate is it's diameter decreasing
Complete question is;
A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?
Answer:
Diameter is decreasing at the rate of 5/(2πr) cm/hr
Step-by-step explanation:
We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;
dV/dt = -50 cm/hr
Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;
V = πr²h
dV/dr = 2πrh
Now,to find the rate at which the diameter is decreasing, we'll write;
dr/dt = (dV/dt)/(dV/dr)
dr/dt = -50/(2πrh)
We are given;
Diameter = 200 cm
Radius; r = 200/2 = 100 cm
Thickness; h = 10 cm
Thus;
dr/dt = -50/(2π × r × 10)
dr/dt = -5/(2πr) cm/hr
The rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex] and this can be determined by using the given data.
Given :
A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 [tex]\rm cm^3/hr[/tex].
The following steps can be used in order to determine the rate at which grindstone diameter decreases:
Step 1 - According to the given data, the rate at which grindstone volume decreases is:
[tex]\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}[/tex] --- (1)
Step 2 - The formula of the volume of the cylinder (grindstone) is given below:
[tex]V = \pi r^2 h[/tex]
Step 3 - Differentiate the above expression with respect to 'r'.
[tex]\dfrac{dV}{dr} = 2\pi r h[/tex] --- (2)
Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:
[tex]\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}[/tex]
[tex]\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\[/tex]
[tex]\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}[/tex]
So, the rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/12748872
1. During October, William Korth worked 160 regular time hours at $9.28 an hour and 18 overtime hours at time-
and-a-half. What is William’s gross pay for October?
2. Last year, Ida Zolen worked 2,000 hours at regular time pay of $8.20 an hour. She also worked 75 hours over time
at double his regular rate. What was Ida’s gross pay last year?
3. Alan Kirbaum works on an 8-hour day basis and is paid $8 an hour for regular time work and time-and-a half for
overtime work. Last week he worked these hours: Monday:9 ; Tuesday:6 ; Wednesday:11 ; Thursday:8 ; Friday:9.
A) How many regular hours did he work?
B) How many overtime?
C) What is his overtime rate?
D) What is his overtime pay?
E) Find Alan’s gross pay.
4. Stephen Woll’s regular pay is $20 an hour. He is paid time and a half for overtime work beyond 40 hours a week. He
worked: Monday:11 ; Tuesday:10 ; Wednesday:10 ; Friday:12. Find Stephen
Answer:
Kindly check explanation
Step-by-step explanation:
1.) regular time hours = 160
Overtime hours = 18
Gross pay = (9.28 * 160) + (1.5 * 9.28 * 18) = $1735.36
2.) Last year, Ida Zolen worked 2,000 hours at regular time pay of $8.20 an hour. She also worked 75 hours over time at double his regular rate. What was Ida’s gross pay last year?
Gross pay:
(2000 * 8.20) + (2 * 8.20 * 75) = $17,630
3. Alan Kirbaum works on an 8-hour day basis and is paid $8 an hour for regular time work and time-and-a half for overtime work. Last week he worked these hours: Monday:9 ; Tuesday:6 ; Wednesday:11 ; Thursday:8 ; Friday:9.
A) How many regular hours did he work?
Regular hours = (8 + 6 + 8 + 8 + 8).= 38 hours
B) How many overtime?
Overtime = (1 + 3 + 1). = 5 hours
C) What is his overtime rate?
2.5 * $8 = $20
D) What is his overtime pay?
$20 * 5 = $100
E) Find Alan’s gross pay.
(38 * $8) + $100 = $404
4. Stephen Woll’s regular pay is $20 an hour. He is paid time and a half for overtime work beyond 40 hours a week. He
worked: Monday:11 ; Tuesday:10 ; Wednesday:10 ; Friday:12. Find Stephen
Total Hour = (11 + 10 + 10 + 12) = 43 hours
Marcel was writing an article for his school paper and read a report that said 2 out of every 20 items purchased at a clothing store were returned. What percent of items were returned to the clothing store?
Answer:
0.1% were returned
18
8
13
7
Find the area of the white granite area in the picture above.
Answer: 178
Step-by-step explanation:
18x13
234 area of white granite
8x7
56 area of blue granite
234-56 to find the area of the white granite
1 A hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north.
-What is the total distance traveled by the hiker?
-Draw a sketch representing the situation. Draw the resultant vector for the hiker’s displacement and label it R.
-What is the magnitude of the hiker’s displacement vector?
Answer:
Step-by-step explanation:
Distance has to do with how far an object or a body has travelled. If a hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north, the total distance covered by the hiker will be:
Distance = 2.0km + 1.4km
Total distance travelled = 3.4km
The displacement is the distance covered in a specified direction. This is expressed using the Pythagoras theorem as shown:
R² = 2.0²+1.4²
R² = 4+1.96
R² = 5.96
R = √5.96
R = 2.44km
Hence the magnitude of the hiker’s displacement vector R is 2.44km
Find the diagram attached
Select the correct answer What is the solution for in the equation? 4+ 5x-7 = 10+ 3x-2 * Y Lee R=###
Answer:
x=11/2
Step-by-step explanation:
4+5x‒7=10+3x‒2
5x‒3=8+3x
5x‒3x=8+3
2x=11
2x/2=11/2
x=11/2
Answer:
x=11/2
Step-by-step explanation:
