Answer:
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Step-by-step explanation:
Melissa was charged $3 each time she used the ATM at work
She used the work ATM 24 times in a month.
Charge per usage= $3
Number of times of usage= 24
By how much did her bank account change from using the ATM at work
Total charges = charge per usage × Number of times of usage
= 3 × 24
= 72
Total charges = $72
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
A. 569 x 102 = 569,000
B. 569 x 10 = 56.9
C. 103 x 569 = 569,000
D. 102 x 569 = 5,690
Answer:
A: False B: False C: False D: False
Step-by-step explanation:
569x 102 = 58038
569x 10 = 5690
103x 569 = 58607
102x 569 = 58038
Fran’s store spent $64,000 on expenses last year. Rent of the store was 35% of those expenses .How much did Fran spend on rent.
Answer:
$22400
Step-by-step explanation:
multiply 64000 with 0.35 (35%)
ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5b, equals, 5.
Answer:
2.5
Step-by-step explanation:
AB¯¯¯¯¯¯¯¯ plane CDE FG←→ HI−→ Question 2 Explain your reasoning. The one that does not belong is an undefined term. The one that does not belong uses a different kind of symbol. The one that does not belong contains fewer points. The one that does not belong has a different number of dimensions.
Answer:
The one that does not belong has a different number of dimensions.
Step-by-step explanation:
i did it and i got it right
Have a nice day
A computer downloads 30 megabits per second for "t" seconds. Write an
equation to represent the number of megabits, m, downloaded.
Answer:
M = 30t
Step-by-step explanation:
Given that a computer downloads 30 megabits per second for "t" seconds. That is, the rate at which the computer downloaded it is 30 megabits/second
Where time = t seconds
To Write anequation to represent the number of megabits, m, downloaded,
Rate = megabits/ time
Where
Rate = 30
Megabits = m
Time = t
Therefore, substitute all into the formula
30 = m/t
Make m the subject of formula
M = 30t
The equation is m = 30t
Simplify each expression 6x + 4y + 5x
Explanation:
The like terms are 6x and 5x. They add to 11x since 6+5 = 11, and then we tack x onto each to get 6x+5x = 11x.
You can think 6x representing the idea we have 6 boxes. Then adding on 5x means we have 5 more boxes to get 6+5 = 11 boxes total.
How do I isolate the y variable?
[tex]x = \frac{2y + 4}{3} [/tex]
Answer:
y = [tex]\frac{3x}{2}[/tex] - 4
Step-by-step explanation:
first multiply by 3 on both sides
then subtract 4 on both sides
finally you have to divide by 2 on both sides to get
y = [tex]\frac{3x}{2}[/tex] - 4
Help!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
To get x by itself, you have to divide each side by the number that x is attached with.
For the first one, divide each side by 3 so that x is by itself and 21/3 is 7 to get x<7
Do the same with the other side but with 5 to get x>11
If 1/4 is 25% of 1, what percentage is 2/4?
Answer: 50%
Step-by-step explanation:
Add 25% to 25% : do this because 1/4+1/4=2/4, which is a half. If you add 25% to 25%, you get 50%, and 50% is also 1/2.
Answer:
Step-by-step explanation:
If 1/4 is 25% of 1, then 2/4 in its simplest form is 1/2 or 50%.
Two drivers begin at point C simultaneously. One drives from C to B to A. The other drives directly to A at 50 mph. How fast must the first person dirve to get to A first? A) LESS THAN 50 MPH B) LESS THAN 60 MPH C) LESS THAN 70 MPH D) MORE THAN 70 MPH
Answer:
Option "D" is the correct answer to the following question.
Step-by-step explanation:
The first person drive "more than 70 mph " to get to A first.
It is given that average speed of second person is 50 mph, So to get A first , first diver must drive more than 50 mph.
So option "D" is the correct answer to the following question.
Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem. s = −16t2 + v0t + s0 An aircraft flying at 900 feet over level terrain drops a supply package.
(a) How long does it take until the supply package to strike the ground? (Round your answer to three decimal places.) t = sec
(b) The aircraft is flying at 158 miles per hour. How far does the supply package travel horizontally during its descent? (Round your answer to one decimal place.) ft
Answer:
a) 17.667 s
b) 4094 feet
Step-by-step explanation:
a) The position equation of the model is given by:
[tex]s=-16t^2+v_ot+s_o\\\\v_o=initial \ velocity = 158\ miles/hour\\\\s_o=Initial\ height=900\ ft\\\\1 \ mile = 5280\ ft, 1\ hour= 3600\ s\\\\Therefore:\\\\v_o=158\ miles/hour = 158*\frac{5280}{3600}=231.733\ ft/s\\ \\Substituting:\\\\0=-16t^2+231.733t+900\\\\16t^2-231.733t=900\\\\\\16t^2-231.733-900=0\\\\Solving\ the\ quadratic\ equation\ gives:\\\\ t=17.667\ s\ or \ t=-3.184\ s\\\\Since\ the \ time\ cannot\ be\ negative\ therefore\ t=17.667\ s[/tex]
b) The horizontal distance = Initial velocity × time = 231.733 × 17.667 = 4094 feet
Combine the like terms to create an equivalent expression. 8 r + 7 − 6 r − 5 8r+7−6r−5
Answer:
62r+9
Step-by-step explanation:
Let's simplify step-by-step.
8r+7−6r−58r+7−6r−5
=8r+7+−6r+−58r+7+−6r+−5
Combine Like Terms:
=8r+7+−6r+−58r+7+−6r+−5
=(8r+−6r+−58r+−6r)+(7+7+−5)
=−62r+9
Answer:
=−62r+9
HOPE THIS HELPS!!!!!! :)
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What percent of one hour is 25 minutes?
Answer:
41.667% or 42%
Step-by-step explanation:
25/60
simplify
5/12 = 41.667
A line has a slope of 1/4 and passes through the point (4,8). Write the equation of the line in slope intercept form.
Answer:
y = 1/4x +7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1/4 x +b
Substitute the point into the equation
8 = 1/4(4) +b
8 = 1 +b
Subtract 1 from each side
8-1 =b
7 =b
y = 1/4x +7
What is 825 rounded to the nearest ten?
Answer:
830
Step-by-step explanation:
In this case the tens place is where the 2 is at so 25 is close to 30 which is a solid ten
Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
Answer:
The interest accrued is $258.48.
Step-by-step explanation:
Given that:
Initial balance in the savings account = $359
Interest rate = 8%
Time for which no withdrawals or deposits were done = 9 years
To find:
Simple Interest accrued = ?
Solution:
First of all, let us have a look at the formula for simple interest.
[tex]SI = \dfrac{PRT}{100}[/tex]
Where P is the Principal Amount.
R is the annual rate of interest
T is the time in years.
Here, we are given:
P = $359
R = 8%
T = 9 years
Let us put all the values in the formula:
[tex]SI = \dfrac{359 \times 8 \times 9}{100}\\\Rightarrow SI = \dfrac{359 \times 72}{100}\\\Rightarrow SI = \dfrac{25848}{100}\\\Rightarrow \bold{SI = \$258.48}[/tex]
So, the interest accrued is $258.48.
Vicky and Harold each want to run for president of their school's student body council.
Is 44 a perfect square or a non-perfect square?
Answer:
A non perfect square
Step-by-step explanation:
The square root of 44 is around 6.633.
Rate me the brainliest if you found this helpful :)
Answer:
non perfect square
Step-by-step explanation:
In what ways are the steps for the long division of polynomials algorithm similar to the steps for the multiplying polynomials algorithm? In what ways are they different?
Answer:
Undermentioned explanation, similarity & dissimilarity between long division & multiplication of polynomials
Step-by-step explanation:
Long Division of Polynomial steps :
Complete missing terms in divisor with zero coefficients, sort terms in decreasing exponential order
Divide leading term, multiply divisor x quotient, subtract partial product & carry down remainder ............ (continue same)
Multiplication of Polynomial steps :
Multiply the 1st, 2nd, 3rd term(s) in the first polynomial with 1st, 2nd, 3rd consecutive term(s) in the second polynomial........... (go on)
Similarity (ies) : Both involve term by term treatment, multiplying monomial & polynomial
Dissimilarity (ies) : Division includes subtracting of exponential power. However, multiplication includes adding of exponential power
x to the power of 2 = 121 what is x
Answer: x = -11, x = 11
Step-by-step explanation:
x² = 121
[tex]\sqrt{x^2}=\sqrt{121}[/tex]
x = ±11
x = -11, x = 11
PLEASE HELP ✨
Water flows through a pipe at a rate of 9 quarts every 3.5 years. Express this rate of
flow in cups per day. Round your answer to the nearest hundredth.
Answer:
0.01 rate per dayStep-by-step explanation:
Given that the water flow through a pipe occrs a a rate of 9quarts every 3.5 years, he rate of flow in cups per year will be expresssed as;
9quartz = 3.5years
x quartz = 1 year
cross multiply
9quarts * 1 = 3.5 years * x
9 = 3.5x
x = 9/3.5
x = 2.57142 years
Hence the rate flow of cup per year will be 2.57 years. But since the question asked us to look for the rate of flow per day, we will divivde 2.57 by 365days.
The rate of flow in cups per day = 2.57/365 = 0.00704rate per day
≈ 0.01 rate per day to the nearest hundredth
35 more than a number x is 73
Answer:
38
Step-by-step explanation:
X+35=73
x=73-35
x=38
Answer:
X=38
Step-by-step explanation:
x+35=73
-35 -35
Which of the follwing equations has a quotient with a remainder?
Select the three that apply. A. 946/32
B. 1157/11
C.3524/44
D.37,392/82
B,C,D
A,B,C
A,C,D
A,B,D
Answer: Choice 2) A, B, C
====================================
Explanation:
Use a calculator to find that,
946/32 = 29.56251157/11 = 105.1818 approximately3524/44 = 80.0909 approximately37392/82 = 456The first three results have a decimal portion as the answer. So there is a remainder here. The remainder is the leftover bit that couldn't make another full value. Only choice D results in a whole number that isn't a decimal value, so this does not have a remainder.
As a smaller example, let's say we had 20 cookies and 3 people. If we want to divide the cookies evenly, then each person gets 20/3 = 6 full cookies and there would be 2 cookies left over (6*3 = 18 are eaten so 20-18 = 2 is left over). Notice that 20/3 = 6.67 approximately. The non-whole number decimal value indicates we have a remainder. If we had 21 cookies, then each person gets 21/3 = 7 full cookies with nothing left over, so there's no remainder here.
correct
Ken's temperature prediction for February
is -3°C. By May, Ken predicts that the average
temperature will increase by 11°C.
Use the number line interactive tool to determine the
predicted temperature in May. What is Ken's
temperature prediction for May?
Answer:
Ken's prediction for May is 8 degrees centigrade : [tex]8\,C^o[/tex]
Step-by-step explanation:
Locate the starting point at the value -3 on the number line, and count (add) 11 units to the right of that point, ending at the point 8 on the number line.
Answer:8c
Step-by-step explanation:
In a recent year a baseball team paid seven times as much to their ace pitcher as they paid to their shortstop. If they paid $ 24 million for the two salaries, what did they pay each player?
Answer:
Shortstop =$3,000,000;
ace pitcher = $21,000,000
Step-by-step explanation:
Let amount earned by shortstop = s
Then, amount earned by ace pitcher = 7 times amount earned by shortstop = (7 × s) = 7s
Total amount Paid = $24,000,000
Amount earned by each player :
s + 7s = 24,000,000
8s = $24,000,000
s = 24,000,000 / 8
s = 3,000,000
Hence,
Salary earned by shortstop = $3,000,000
Salary earned by ace pitcher = (7 * 3,000,000) = $21,000,000
A homeowner's backyard is a rectangle with width 18 yards long and length 16 yards long. They plan to put in a square pool with side length 5 yards long in the backyard and then want to put tile in the rest of the entire backyard. How much tile do they need to buy?
Answer:
Step-by-step explanation:
Given the dimension of the homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;
Area of rectangle = Length * Width
Area of the rectangular backyard = 18yards * 16yards
Area of the rectangular backyard = 288yards²
If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²
The remaining area that will contain the tiles = Area of the rectangular backyard - area of the pool
The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²
Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use. The area needed for the tiles for the rest of the backyard is therefore 263yd².
Amount of tiles needed to buy can be expressed as 263/dimension of a tile.
Maria's family has a maple tree and a pine tree in their front yard. The maple tree is 6
feet shorter than the pine tree. The maple tree is 36 feet tall. How tall is the pine tree?
Answer:
Pine tree is 42 feet tall
Step-by-step explanation:
Since Maple tree is shorter than pine tree, you add 6 to 36 which is 42.
42 Feet
Which of the following is correct based on this picture? A. tan M=38/63 B. sin M=38/63 C. none of these are correct D. cos M=38/63
Answer:
Option D. Cos M = 38/63
Step-by-step explanation:
Let the side opposite to angle M be y.
The value of y can be obtained by using the pythagoras theory as illustrated below:
y² = 63² – 38²
y² = 3969 – 1444
y² = 2525
Take the square root of both side
y = √2525
y = √(25 x 101)
y = √25 x √101
y = 5√101
Now, let us determine Tan M, Sine M and Cos M to know which of the options are correct.
This is illustrated below:
Tan M =?
Opposite = 5√101
Adjacent = 38
Tan M = Opposite /Adjacent
Tan M = 5√101 / 38
Sine M =.?
Opposite = 5√101
Hypothenus = 63
Sine M = Opposite /Hypothenus
Sine M = 5√101 / 63
Cos M =?
Adjacent = 38
Hypothenus = 63
Cos M = Adjacent /Hypothenus
Cos M = 38/63
From the calculations made above,
Tan M = 5√101 / 38
Sine M = 5√101 / 63
Cos M = 38/63
Therefore, Option D gives the correct answer.
Find the smallest number which must be added to the following numbers so as to make them a perfect square 4931
Answer:
110.
Step-by-step explanation
4900 = 70^2
71^2 = 5041
5041- 4931 = 110
Answer is 110
Please help
Let a and b be positive integers. 23a×23b=?
Answer:
A) 23^(a+b)
Step-by-step explanation:
if you multiply a number with diferrent exponents, the exponents will always add.
The bases are the same, so we add the exponents
The answer is [tex]23^{a+b}[/tex] which is choice A============================================
Here's an example of why we add the exponents
Lets say we want to multiply 7^2 with 7^3
7^2 = 7*7
7^3 = 7*7*7
We have two copies of "7" being multiplied with 7^2, then we have an additional three copies of "7" with 7^3. Overall there are 2+3 = 5 copies of "7" that we multiply out.
So,
7^2*7^3 = (7^2) * (7^3)
7^2*7^3 = (7*7) * (7*7*7)
7^2*7^3 = 7*7*7*7*7
7^2*7^3 = 7^5
This example is fairly small in that we don't have that many copies of the base being multiplied. For larger examples, its best to use the formula mentioned
a^b*a^c = a^(b+c)