Answer:
Samantha's age = 27 years
Step-by-step explanation:
Let Jack's age be = xAs Samantha is one year less than twice her brother Jack’s age.
So Samantha's age = 2x-1As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
The diameters of ball bearings are distributed normally. The mean diameter is 130 millimeters and the variance is 9. Find the probability that the diameter of a selected bearing is greater than 135 millimeters. Round your answer to four decimal places.
Answer:
0.0478
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 135 mm
μ is the population mean = 130 mm
σ is the population standard deviation.
We are given variance = 9
Standard deviation = √variance = √9 = 3
Hence
z = 135 - 130/3
z = 1.66667
Probability value from Z-Table:
P(x<135) = 0.95221
P(x>135) = 1 - P(x<135) = 0.04779
Approximately to 4decimal places = 0.0478
what is the equation for this situation
Justin is considering two websites for downloading music. The costs are detailed here.
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Enter your equations in the boxes.
Website 1:
Website 2:
Answer:
website 2 hope this helps
On a coordinate plane, 2 lines with negative slopes are shown. Line M N goes through points (negative 2, 0) and (negative 6, 8). Line M prime N prime goes through (6, negative 4) and (2, 4). Use the graph of the lines to determine if the two lines are parallel. Line MN was translated down units and right
units to create line M'N'.
The slope of Line M N .
The slope of Line M prime N prime .
Answer:
Line MN was translated down
✔ 4
units and right
✔ 8
units to create line M'N'.
The slope of Line M N
✔ −2
. The slope of Line M prime N prime
✔ −2
.
Step-by-step explanation:
On edge 2021 Hope this helps :)
Answer: is in picture
Step-by-step explanation:
plz help (will make brainliest!)
Match each proportion to its solution.
Answer:
x/10=-30/100 : -3
5/35 = 1/a : 7
2/x = 100/15 : .3
12/k = 4/1 : 3
2/8 = g/4 : 1
Step-by-step explanation:
Find the degree of the polynomial.
Answer:
Degree of the polynomial = 3
Step-by-step explanation:
The given polynomial is [tex]18x^3y^2[/tex]
There are two variables in this polynomial i.e. x and y.
The exponent of x is 3 and that of y is 2.
We need to find the degree of the polynomial.
The degree of the polynomial is defined as the highest degree of any of the term.
In this case, the degree of polynomial is 3 as it has highest power than the power of y.
Evaluate each expression. Enter the correct answers in the boxes. (60−6)×(13)3+27÷3= ( 60 − 6 ) × ( 1 3 ) 3 + 27 ÷ 3 = 82÷4×(2+3)−9= 8 2 ÷ 4 × ( 2 + 3 ) − 9 = Ʃ 789+Plus456-Minus123×Multiplied by0.,÷Divided byemptyemptyBackspace=Equals
Answer:
2115
Explanation:
To evaluate the expression (60−6)×(13)3+27÷3 we use BODMAS
BODMAS is an acronym/rule in mathematics that dictates the order we should solve mathematical operations such as the above.
BODMAS stands for bracket first, order or of, division, multiplication, addition and then lastly subtraction
To solve the expression using BODMAS, we solve the brackets first
(60−6)×(13)3+27÷3 =54×39+27/3
Then division
=54×39+9
=2106+9
Then addition
=2106+9=2115
Answer=2115
Can someone please help? I need by 2:45 PM
Answer:
dilated coordinates are A(-18,-3) and B(-6,-12)
Step-by-step explanation:
distance of new segment is 15 units
distance formula = [tex]\sqrt){y-y_{1})^{2} +( x - x_{1})^{2} }[/tex]
mark got 14 problems wrong on the test. his score was 72% correct.how many problems were on the test
9514 1404 393
Answer:
50 problems
Step-by-step explanation:
The percentage wrong was 100% -72% = 28%. Then the number n of problems on the test was ...
14 = 0.28·n
n = 14/0.28 = 50
There were 50 problems on the test.
Three concert tickets cost $45. At this rate, how much does it cost per ticket?
$135 per ticket
$3 per ticket
$15 per ticket
$48 per ticket
2. List the first four terms of the geometric sequence with a, = 5 and r = -2.
Answer:
[tex]5,~ -10,~ 20,~ -40[/tex]
.
Step-by-step explanation:
Geometric sequence
[tex]Un = ar^{n - 1}[/tex]
.
We know that
a = 5 and r = -2
.
So
[tex]U_1 = 5(-2)^{1 - 1} = 5(-2)^0 = 5[/tex]
[tex]U_2 = 5(-2)^{2 - 1} = 5(-2)^1 = -10[/tex]
[tex]U_3 = 5(-2)^{3 - 1} = 5(-2)^2 = 20[/tex]
[tex]U_4 = 5(-2)^{4 - 1} = 5(-2)^3 = -40[/tex]
.
Happy to help :)
Answer:
the aswers is 5, -10, 20,-40
Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answer:
I don't know the question answer surely but I think that A is the correct one
Which of the following is a linear function?
y= 5x
y=x + 1
6x = y - 4
y= 8x²
Answer:
y=5x
Step-by-step explanation:
A paper cup is tossed 50 times. It lands right side up 11 times, upside down 14 times, and on its side 25 times. What percent of time did it land upside down?
Answer
28 percent
Step-by-step explanation:
divide 14/50
Help plis! Someone I need help with this plis
Answer:
I think the answer is B
Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is : . If Josie missed questions, how many did she get correct? *---------- If josie missed 20 questions how many did she get correct--- PLEASE HELP ME
Answer:
36 correct answers
Step-by-step explanation:
Given that,
The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9.
Josie missed 8 questions
Let incorrect answers be 2x and that of correct answers be 9x.
ATQ,
2x = 8
x = 4
Correct answers = 9x
= 9(4)
= 36
Hence, she will get 36 correct answers.
A national standardized test is graded on a scale from 1 to 5 the scores for a particular school are given below if a student Is chosen at random what is the possibility that they scored a 4 or a 5
Answer:
Step-by-step explanation:
The possibility of scoring a 4 is 1/5
The possibility of scoring a 5 is 1/5
The possibility of scoring either 4 or a 5 is 2/5
PLS HELP MEEE ILLL GIVE BRAINLEST
Answer:40
Step-by-step explanation:
Smaller than 60 and 80.
Answer:
B
Step-by-step explanation:
Because I did this test before and I got this right :)
Find the slope between:
(-1,-5)
(0, -1)
Answer: sry dunno
Step-by-step explanation:
Which ordered pair is a solution of the equation y+1=3(x-4)
Step-by-step explanation:
When x = 4 and y = -1,
(-1) + 1 = 3(4 - 4) = 0.
Hence (4, -1) is an ordered pair.
When x = 5 and y = 2,
(2) + 1 = 3(5 - 4) = 3.
Hence (5, 2) is an ordered pair.
Therefore the answer is C.
The perimeter of an equilateral triangle is 17 cm less than the
perimeter of a rectangle.
The length of one side of the triangle is 5 cm.
a Construct an equation for the perimeter of the rectangle.
.......................
b What is the perimeter of the rectangle?
.......................
c The rectangle is 3 times as long as it is wide.
Construct and solve an equation to find the longest side length
of the rectangle.
Answer:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. Then find the answer.
BRAINLIEST! As a dolphin swims along the side of a cruise ship, he jumps to a height of seven meters above the water surface and dives to a depth of seven meters below the surface. He does this in a regular motion (simple harmonic motion). A passenger starts a stopwatch just as the dolphin is coming up to the surface. The passenger determines that the dolphin completes one cycle every 6 seconds.
PLS! MARK ME AS A BRAILIEST......
ANSWER PLSSS!!!!
When is Ann's distance from home increasing? Give a reason to support your answer
Answer:
when the #8 lines up with he 40
simplify this Problem 1.5 x 1.5
Answer:
2.25
Step-by-step explanation:
1.5 times 1.5 is 2.25
"simplify" just means to solve in ur case..
Hope this helps!!
1.5 multiplied by 1.5 equals 2.25.
To simplify the problem 1.5 x 1.5, you can multiply the two numbers together.
To calculate this, you can follow these steps:
Multiply the first digit of the first number (1) by the first digit of the second number (also 1): 1 x 1 = 1.
Multiply the decimal parts of both numbers: 0.5 x 0.5 = 0.25.
Add the results from step 1 and step 2 together: 1 + 0.25 = 1.25.
The final answer is 1.25, but we need to consider the decimal places. Since both numbers have one decimal place, the final answer will have two decimal places: 2.25.
Therefore, 1.5 x 1.5 simplifies to 2.25.
Learn more about multiplication click;
https://brainly.com/question/11527721
#SPJ6
Aisha is a cyclist. She rode 3 ¾ miles in ⅓ hours. A. How fast was she going in miles per hour?
Answer:
11 1/4 miles per hour
Step-by-step explanation:
Put the mixed number in improper form to make it easier. You get 15/4 miles in 1/3 hours. You want the miles for 1 hour. So you multiply 15/4 miles by 3 to get 45/4 miles, or 11 1/4 miles per hour
The 600 mile, Texas Gulf Coast has various barrier islands that protect the coast from storms. If each barrier island is an average of 75 miles in length, how many barrier islands are there?
Answer: 8 barrier island.
Step-by-step explanation:
From the question, we are informed that Texas Gulf Coast is about 600 miles and that it has various barrier islands that helps protect the coast from storms.
We are further told that each barrier island is an average of 75 miles in length. Therefore, the number of barrier islands that are there will be gotten by dividing 600 by 75. This will be:
= 600 / 75
= 8 barrier island
Please I need some answers
Answer:
He needs 3 packs of hot dogs and 2 packs of hot dog buns. He has 4 hot dogs and 4 hot dog buns left over.
Step-by-step explanation:
Because 8 x 3 = 24 and 12 x 2 = 24
But since he needs enough for 20 people he would have 4 hot dogs and 4 hot dog buns leftover.
Eileen collected 78 empty cans to recycle, and Carl collected 62 cans. They packed an equal number of cans into each of seven boxes to take to the recycling center. How many cans were in each box?
Answer:
20 cans
Step-by-step explanation:
Eileen collected 78 empty cans to recycle
Carl collected 62 empty cans to recycle
They pack equal number of cans in 7 boxes
Therefore the number of cans in each boxes can be calculated as follows.
= 62 + 78/7
= 140/7
= 20
Hence there were 20 cans in each boxes
Q3) Explain the Error: When Rashed found the difference -11 - (-4), he got-
15. What might Tom have done wrong?
Help