The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.
Given the difference between two numbers is 2811.
The bigger number is 4200.
The smaller number is = ?
let the smaller number be 'x'
as the statement says difference between two numbers = 2811
Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.
⇒ bigger number ₋ smaller number = 2811
⇒ 4200 ₋ x = 2811
⇒ ₋ x = 2811 ₋ 4200
⇒ ₋ x = ₋ 1389
cancel the negative sign from both sides.
x = 1389
hence we get the smaller number as 1389.
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Fill in the blanks. (5 x 3) x __) a b 4x( x 9) = 72 C 7x (2x __) = 42 d (_____________× 5) x 5 = 75 x __) = 27 e (3 x 3) x = 60
The solution to each division problem is;
1) 4
2) 2
3) 3
4) 3
5) 3
1) We are given the expression;
(5 * 3) * ___ = 60
To get the blank answer, we will divide both sides by (5 * 3) to get;
60/(5 * 3) = 4
2) We are given the expression;
4 *( ___ * 9) = 72
To get the blank answer, we will divide both sides by (4 * 9) to get;
72/(4 * 9) = 2
3) We are given the expression;
7 * (2 * ___) = 42
To get the blank answer, we will divide both sides by (7 * 2) to get;
42/(7 * 2) = 3
4) We are given the expression;
(___ * 5) * 5 = 75
To get the blank answer, we will divide both sides by (5 * 5) to get;
75/(5 * 5) = 3
5) We are given the expression;
(3 * 3) * ___ = 27
To get the blank answer, we will divide both sides by (3 * 3) to get;
27/(3 * 3) = 3
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(b) If you put $7750 in the ATM each day, what percent of the days in a month should you expect to run out of cash?
The percent of the days in month that the cash will run out is given as: 23.33%. See the computation below.
What is the explanation that justified the above answer?Money put in ATM per day=$7750
We have to find the percent of days in a month you should expect to run out of cash.
From the given information
There are 7 days in which you run out cash more than $7750
Assuming that the total number of days in a month = 30
Hence, we can arrive at the above value by saying:
(Corresponding days/Total number of Days) * 100
From we above we state:
(7/30) * 100
= 23.33%
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The curve is the graph of function f. Use the graph to find the value of the function for the following values of x: -2,-.5,0,2.5, and 6.
Answer:
1, 0.75, 1.25, 3, 0
Step-by-step explanation:
To find the value of the function, we find the y coordinate of the point with the given x value.
Financial Goals: Tutorial
Part C
? Question
Diego's cash flow is the difference of his monthly income, $3,000, and his total expenses, $2,715. Which equation
correctly represents Diego's cash flow?
O cash flow = $2,715 - $3,000
O cash flow = $3,000-$2,715
O $3,000 = $2,715 - cash flow
$3,000 = cash flow-$2,715
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7:56
The equation that represents Diego's cash flow is cash flow = $3,000-$2,715.
What is the cash flow?Cash flow is the difference between cash inflows and cash outflows. Cash inflow are additions to the cash flow. An example of cash inflow is monthly income. Cash outflow would reduce the cash flow. An example of cash inflow is expenses.
Cash inflow = income - expense
$3,000 - $2,715
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A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $1.90 and then an additional 6 cents per minute of use. In
Plan B, there is no monthly fee, but the customer pays 7 cents per minute of use.
For what amounts of monthly phone use will Plan A Cost than Plan B?
Use m for the numbers of minutes of phone use in a month, and solve your inequality for m.
Step-by-step explanation:
sadly you skipped the key word in the question.
should we check under what circumstances plan A costs more than plan B ? or costs less than plan B ?
so, I don't know which inequality to solve.
but I can tell you the facts, and you need to pick the right direction for your answer.
cost of plan A for used minutes m :
cA(m) = 1.9 + 0.06m
plan B
cB(m) = 0 + 0.07m = 0.07m
to find the intersecting point, where both plans cost the same :
1.9 + 0.06m = 0.07m
1.9 = 0.01m
m = 1.9 / 0.01 = 190 minutes
up until 190 minutes plan B is cheaper.
if there are more than 190 minutes, than plan A is cheaper.
so,
m < 190 B is cheaper
m > 190 A is cheaper
m = 190 A and B cost the same
37+1/2-(x+1/4)=9(4x-7)+5
Given: 2 ( x + 3)-8=10
Prove: x = 6
Answer:
x=6
Step-by-step explanation:
2(x+3)-8=10
use 2 to multiply the one in the bracket
(2x+6)-8=10
group like terms
2x-2=10
send all constant terms to one side of the equation
2x=10+2
2x=12
divide both side by the coefficient of x
2x/2=12/2
x=6
AP Calculus ab question: what is the derivative function, f'(x), using the definition of derivative for : f(x) = 3X^2 + 1. Please show your work with the method shown below:
f'(x)= lim (h->0) [f(x+h) - f(x)] /h
Answer: f'(x)=6x
Step-by-step explanation:
f'(x)= lim (h->0) [f(x+h) - f(x)] /h
f'(x)= lim (h->0) [3(x+h)^2 + 1 - (3x^2 + 1)] /h
f'(x)= lim (h->0) [3(x^2+2hx+h^2) + 1 - 3x^2 - 1] /h
f'(x)= lim (h->0) [3x^2+6hx+3h^2 - 3x^2] /h
f'(x)= lim (h->0) [6hx+3h^2] /h
f'(x)= lim (h->0) [6x+3h]
f'(x)= [6x+3(0)]
f'(x)=6x
please refer to the image
Brief The Question Please, Thank You
The population of deer in a national forest has consistently increased by 5% each year. This year, the population of deer is 5,000. If the population increases at the same rate, what number of deer is expected to be in the national forest next year?
Select the correct answer below:
4,750
5,025
5,250
5,263
5,512
Answer:
5250.
Step-by-step explanation:
Consistent = Population of deer increases 5% each year.
This year = 5000
105% of 5000 = 5250
PLEASE HELP DUE TODAY, WILLGIVE LOTS OF POINTS. On a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on a different map with a scale 1:300,000?
Answer:
4cm
Step-by-step explanation:
the ratio of the two scales is 100,000:300,000 which simplifies to 1/3
1/3 x 12 =4
If the perimeter of the irregular figure is 35 2/3 cm, then what is the missing side length?
The two numbers on top are 4 3/4 and 3 1/2
the ones inside left to right is 1 1/3 1 1/3 again and 3 1/2
Then the one in the outside bottom is 9.25 cm
The one at the right outside is 6.6 cm
Left outside is the missing one
srry for bad photo quality
The missing side of the figure if the perimeter is 35 2/3 cm, is calculated as: 10.9 cm.
How to Find the Perimeter of a Figure?The perimeter of a figure is the total length surrounding the figure.
We are given that the figure shown below has a perimeter of 35 2/3 cm, which means all the total length of all its sides equals 35 2/3 cm.
To find the missing length, sum all the given lengths and subtract it from the perimeter of the figure.
Sum of all the given lengths = 4 3/4 + 3 1/2 + 1 1/3 + 1 1/3 + 3 1/2 + 9.25 + 6.6 = 4.75 + 2.3 + 1.3 + 1.3 + 2.3 + 9.25 + 6.6
Sum of all the given lengths = 27.8 cm
The missing side = 38 2/3 - 27.8 = 38.7 - 27.8
The missing side = 10.9 cm.
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Alonso's family rented a car when they flew to
Orlando for a 4-day vacation. They paid $39
per day and $0.09 for each mile driven. How
much did it cost to rent the car for 4 days and
drive 350 miles, not including tax?
Answer:
$187.5
Step-by-step explanation:
39 (4) + 0.09 (350)
156 + 31.5
$187.5
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Answer:
$187.5
Step-by-step explanation:
You need to multiply the daily cost by the days. In this case, 39*4 = 156. Then, we can get the cost for the miles driven, being 0.09*350 = 31.5.
We can now add the two numbers together:
156 + 31.5 = $187.5
A universitys freshman class has 7600 studends. 73% of those students are najoring in computer science. How many students in freshman clsss are computer science majors?
There are 5548 students majoring in computer science.
This problem is related to percentage we have to calculate the number of students with the percentage given. After multiplying the percent given to the total number of students we will get the required number of students.
Given that the total number of students in the university class is =7600
Also 73% of students are majoring in computer science.
Number of students majoring in computer science is = (73/100) of 7600
= 73×76
= 5548 students
So, the total number of students majoring in computer science is 5548.
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Find the perimeter of the rectangle.
X+1
2.5x - 4
Answer: 7x-6
Step-by-step explanation:
P=perimeter. L=length. W=width
P=2L+2W
P=2(x+1)+2(2.5x-4)
P=2x+2+5x-8
P=2x+5x+2-8
P=7x-6
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 20. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 80 and 120? (b) What percentage of people has an IQ score less than 60 or greater than 140? (c) What percentage of people has an IQ score greater than 160?
Using the Empirical Rule, the percentages are given as follows:
a) 68%.
b) 5%.
c) 0.15%.
What does the Empirical Rule state?It states that, for a normally distributed random variable, approximately:
68% of the values in the distribution are within 1 standard deviation of the mean.95% of the values in the distribution are within 2 standard deviations of the mean.99.7% of the values in the distribution are within 3 standard deviations of the mean.For item a, 80 and 120 are within one standard deviation of the mean, hence:
68% of people has an IQ score between 80 and 120.
For item b, the bounds are within two standard deviations of the mean, hence 5% of the observations are outside this interval, that is:
5% of people has an IQ score less than 60 or greater than 140.
For item c, 160 is three standard deviations above the mean. Considering the symmetry of the normal distribution, 0.3/2 = 0.15% of people has an IQ score greater than 160?.
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1/4 of a pizza is 150 calories how much is a whole pizza?
Solve P = 2L+ 2W for L.
Question content area bottom
L= ?
5. Explain how to determine which operation to complete first when simplifying the expression (15 ÷ 5+4²) − [4³ − |(13² + 2) ÷ (4 − 1)]. Be specific.
Answer: Parentheses
Step-by-step explanation: Parentheses always go first because if you look at the work PEMDAS, P= parentheses, E= exponents, M= Multiplication, D= division, A= addition, and S= subtraction.
evaluate 3^2018 + 3^2015 / 3^2017 + 3^2016
The simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3
How to evaluate the expression?The expression is given as:
3^2018 + 3^2015 / 3^2017 + 3^2016
Factor out 3^2015 in the expression
So, we have
3^2015(3^3 + 1)/3^2015(3^2 + 3)
Cancel out the common factor
(3^3 + 1)/(3^2 + 3)
Evaluate the exponents
(27 + 1)/(9 + 3)
This gives
28/12
Simplify
7/3
Hence, the simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3
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A line passes through ( - 1, - 1) and ( - 3, 5).
What is the equation of the line in slope-intercept form?
Answer:
y= -3x-4.
Step-by-step explanation:
1) the slope-interception form is:
y=slope*x+i, where i - interception;
2) using the given two points it is possible to calculate the slope:
[tex]slope=\frac{5+1}{-3+1}=-3;[/tex]
then the required equation has the form:
y=-3x+i;
3) in order to calculate the 'i', it is enough to substitute the coordinates of the one point into this form of the required equation:
-1=-3*(-1)+i; ⇒ i=-4.
4) finally, the required equation is:
y=-3x-4.
P.S. the suggested way is not the shortest one.
The US government spent
$2500 billion. If 21% was
spent for Social Security, how
much was that
Answer:
If your number was 250,000,000,000
The amount of social security would be 52,000,000,000
Step-by-step explanation:
is 7 1/2 equal to 1/10, 1/5 or 4/5?
7y+2=3x-5 is the given equation. Finding the point that does not lie on the specified line, 7y+2=3x-5, is the next step.
To determine whether or not the point meets the provided equation, we will simply enter in the supplied point.
Check for (2,-1/7)
Connect it to 7y+2=3x–5.
7(-1/7)+2=3(2)-5
-1+2=6-5
1=1
Which is correct; as a result, this point is on the line 7y+2=3x-5.
Verify (3,-2/7)
Connect it to 7y+2=3x–5.
7(-2/7)+2=3(3)-5
-2+2=09-5
1=4
Which is False; as a result, the supplied line 7y+2=3x-5 does not include this point.
Connect it to 7y+2=3x–5.
7(-1)+2=3(0)-5
-7+2=0-5
-5=-5
Which is correct; as a result, this point is on the line 7y+2=3x-5.
Verify (1, -4, 7)
Connect it to 7y+2=3x–5.
7(-4/7)+2=3(1)-5
-4+2=3-5
-2=-2
This is why I'm making this point
lies on the line 7y+2=3x-5 that is presented.
Verify (-1, -10/7)
Connect it to 7y+2=3x–5.
7(-10/7)+2=3(-1)-5
-10+2=-3-5
-8=-8
Which is correct; as a result, this point is on the line 7y+2=3x-5.
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Can you please help me
A bookcase is to have 4 shelves including the top as pictured below.
The width is to be 12 feet less than 3 times the height. Find the width and the height if the carpenter
expects to use 22 feet of lumber to make it.
Width:
feet
Height:
feet
Answer:
The width is 3 feet and the height is 6 feet.
Step-by-step explanation:
Exit Ticket
A plumber charges a one-time surcharge fee of $50 for
emergency calls plus a rate of $65 per hour. Write a function
using function notation to determine the total amount charged
for an emergency service call. Then find f(4.5), and explain the
real-world interpretation of f(4.5).
Answer:
f(x) = $65x + $50
f(4.5) = $342.5
The real-world interpretation of f(4.5) would be an emergency service call where they have to work for 4.5 hours.
Step-by-step explanation:
We will write a function where x is the hours. Since you pay $65 for every hour, we will multiply $65 by x. Next, there is a fee of $50 so we will add that onto the end.
f(x) = $65x + $50
Now, we will plug 4.5 into the function for x and solve.
f(x) = $65x + $50
f(4.5) = $65(4.5) + $50
f(4.5) = $292.5 + $50
f(4.5) = $342.5
The real-world interpretation of f(4.5) would be an emergency service call where they have to work for 4.5 hours.
100 more than 365 is equal to 65more then
Answer:
x = 400Step-by-step explanation:
100 more than 365 is equal to 65more then
we can solve with an equation
100 + 365 = 65 + x
100 + 365 - 65 = x
465 - 65 = x
400 = x
------------
check
100 + 365 = 65 + 400
465 = 465
the answer is good
during last year my car depreciated by 30%. If the value of my car is $25,000 today, then what was the value of my car one year ago?
The value of my car one year ago was $35,714.3
INTEREST FORMULA: The interest formula includes two types of interests - simple interest and compound interest. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The compound interest formula and the simple interest formula are both discussed in the interest formula.
Present value of the car = A = $25,000
Depreciation rate = r = 30% per annum
Time = t = 1 year
Let the initial value be p
We know the formula, A = P(1 – r/100)^t
$25,000 = P [1 – 30/100] ^1
$25,000 = P (7/10)
P = (25,000 * 10) / 7
P = $35,714.3
Therefore, One year ago, my car's value was worth $35,714.3.
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What would the Median of 112 113 116 118 119 124 be?
The graph of a normal curve is given. Use the graph to identify the value of and . μ sigma
From the given graph the value of μ is 530 and the value of σ is 15.
In the Normal Curve the value at which the shape of the graph is highest is called it's mean(μ) and the value on the left of mean is μ-σ and the value on the right of the mean is μ + σ .
In the Given question
the shape of the graph is highest at 530,
hence the value of mean(μ) = 530. ....(i)
we know that the value on the left of mean is μ-σ .....(ii)
From the graph the value to the left of mean(μ) is 515. ...(iii)
Equating equation (ii) and (iii) we get ,
μ-σ = 515
Substituting the value of μ from equation (i) we get ,
530 - σ = 515
σ = 530 - 515
σ = 15
Therefore , From the graph the value of μ is 530 and the value of σ is 15.
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