Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
What type of counting problem is this?
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
The type of counting problem is combination with repetition.
What is combination ?One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.
As johnny use a lot of condiments.
His mother tells him he may only make two additions to his meal.
He can add 2 condiments only twice, whether he already use them or not.
So, here we will use combination with repetition because here same condiments can be added twice that is two times.
So, in how many different ways can johnny improve his meal can be determined by combination with repetition.
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Answer:
10
Step-by-step explanation:
What is the area of this parallelogram? Show your work in detail.
helppp MEEEEE
Answer:
Parallelogram area = (height × base)
Parallelogram area = 3 * 10 cm
Area = 30 square centimeters
Source: http://www.1728.org/quadpar.htm
Step-by-step explanation:
Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 - 4i.
Answer:
[tex]d = 16.55[/tex]
Step-by-step explanation:
Given
[tex]z_1 = -8 + 3i[/tex]
[tex]z_2 = 7 - 4i[/tex]
Required
The distance between them
First, calculate the difference (d) between z1 and z2
[tex]d = z_1 - z_2[/tex]
[tex]d = -8 + 3i - [7 - 4i][/tex]
Open bracket
[tex]d = -8 + 3i - 7 + 4i[/tex]
Collect like terms
[tex]d = -8 - 7+ 3i + 4i[/tex]
[tex]d = -15+ 7i[/tex]
Using modulus, we have:
[tex]d = \sqrt{R^2 + I^2}[/tex]
Where
R = Real Part = -15
I = Imaginary Part = 7
So, we have:
[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]
[tex]d = \sqrt{225 + 49}[/tex]
[tex]d = \sqrt{274}[/tex]
[tex]d = 16.55[/tex]
What is the area of this triangle?
h = 5 in.
b =10 in.
Answer:
25 in²
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex]hb = [tex]\frac{1}{2}[/tex] × 5 × 10 = 25 in²
Answer:
25 units²
Step-by-step explanation:
Formula for calculating the area of a triangle:
A = hb/2
A = 5(10)/2
A = 50/2
A = 25
Answer the following questions for each geometric
series.
Infinite sum
S=a1/1-r,(for lrl <1)
10 + 1 + 0.1 +0.01 +...
Answer:
10
0.1
100/9,11.111
1500
The sum of this series=11.11
Step-by-step explanation:Definition of geometric seriesA geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.
Formula of infinite geometric sum
[tex]S=a1/1-r,(for lrl < 1)[/tex]
and given series
[tex]10 + 1 + 0.1 +0.01 +...[/tex]...
where
a=10 and r=0.1
by putting these values in above formula
[tex]S=10/(1-0.1)\\=11.11[/tex]
Hence the sum of given series= 11.11
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alicias garden is 50 square feet. inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet how much more spaces does she have left in her garden to plant other crops
Answer:
38 square feet. in return please subscribe to Amiredagoat Yt.
Step-by-step explanation:
If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet
In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.
Area of Alicia's garden = 50 square feet
Area of a section of tomatoes that is 3 feet by 4 feet,
A=4 × 3
A=12 sq feet
The spaces she has left in her garden to plant other crops is,
=50 - 12
=38 square feet
Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
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Median of 5,4,6,3,4?
Answer:
4
Step-by-step explanation:
3, 4, 4, 5, 6
Answer:
4
Step-by-step explanation:
Sort values from smallest to largest: 3, 4, 4, 5, 6
Find the center index value:
(N) = 5
Center index = [tex]\frac{(N+1)}{2}[/tex]
Center index = 3
The median is the 3rd value, which is 4.
Hope that this helps!
Which expression is equivalent to 4/9×7?
solve the followin question each question carries
K2-2K-24=0
Answer:
Are u guys solving for k?
Step-by-step explanation:
Product of ²/₇ with the reciprocal of ⁽⁻³⁾/₈ is
Answer:
Step-by-step explanation:
Reciprocal of (-3)/8 = -8/3
[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]
What’s 22,000 - 407% of 60?
Answer:
21,755.8
Step-by-step explanation:
To solve this equation, we must first find 407% of 60.
To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.
407/100 x 60/1 = 24,420/100
24420 / 100 = 244.2
244.2 is 407% of 60.
Lastly, you subtract 244.2 from 22,000.
22,000 - 244.2 = 21,755.8
Answer:
21755.8
Step-by-step explanation:
407%=4.07
4.07*60=244.2
22,000-244.2=21755.8
helppp please i don’t understand
Here's the Solution,
let's take :
x1 = 7x2 = 3y1 = 5y2 = 2now,
=》
[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
=》
[tex]d = \sqrt{(3 - 7) {}^{2} + (2 - 5) {}^{2} } [/tex]
=》
[tex]d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } [/tex]
=》
[tex]d = \sqrt{16 + 9} [/tex]
=》
[tex]d = \sqrt{25} [/tex]
=》
[tex]d = 5[/tex]
So, distance between the points is 5 units
ANSWER IMMEDIATELY! GIVING BRAINLIEST !!
Answer:
h = 14 units
Step-by-step explanation:
area of parallelogram = bh
plug everything in: 84 = (6)h
h = 84/6 = 14
Find h.
10 cm
h = ✓ [?] cm
8 cm
Answer:
√86 cm
Step-by-step explanation:
radius² + h² = slope² slope = 10 radius = 4
h² = slope² - radius²
h = √(slope² - radius²)
= √(10² - 4²)
= √ 86
=
Answer: 84
...........
HELP IS STUDY ISLAND I NEED THIS NOW
Answer:
i think A. 6 in
Step-by-step explanation:
because the lenght is diagram 3
Heres another math question! Please no links, and dont answer if you dont have an answer or I will report!
hope you have an amazing day lovely! <3
The equation p=100−5t represents the percent p of battery power remaining in a tablet after t hours.
a. Identify the independent and dependent variables. Then describe how the battery power changes over time.
The independent variable is
and the dependent variable is
.
The battery power begins at
% and decreases
% each hour.
Question 2
Answer:
Independent variable (x in 2D cartesian) = t (time)
Dependent variable (y in 2D cartesian) = p (battery power)
The independent variable is time.
The dependent variable is battery power.
Time is independent because it cannot be controlled.
Battery power is dependent because it can be controlled.
Since t is in hours,
The battery power begins at 100% and decreases 5% each hour.
Is 7/10 a simplest form
Answer:
710
Step-by-step explanation:
Detailed Answer: The fraction 710 is already in the simplest form, so it isn't possible to reduce it any further.
XYZ Inc. has a cost of common stock of 14%, a cost of preferred stock of 10%
percent, an after-tax cost of debt of 4%, and a tax rate of 21%. Given this, which one of the following will reduce the firm's WACC, given that its PE ratio is equal to 24?
A. Decreasing XYZ's beta
B. Repurchasing shares of common stock
C. Increasing the debt-equity ratio
The only solution to x^2+bx+c=0 is x=5 find a and b
Answer:
b=-10
c=25
Step-by-step explanation:
if the only solution is 5 so
x^2+bx+c=(x-5)²=x²-10x+25
b=-10
c=25
A line is an undefined term because it
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Step-by-step explanation:
I hope it will help you
(c) If tanA =1/2 find the value of tan3A
Answer:
5.5
Step-by-step explanation:
tana=3a=3tana-tana^3a/1-3 tana^2a
=3(1/2)-(1/2)^3/1-3(1/2)^2
=3/2-1/8 /1-3/4
=(12-1/8)/1/4)
=(11/8)/(1/4)
=11/8×4
11/2====5.5
i think it help you do by this way if the answer is not this
I need help plz I don't understand this
Answer:
3 bird HAHAHAH sana makatulong
Answer:
From point A to point B is x= -7 y= -4
From point B to point C is x= 6 y=-5
Step-by-step explanation:
I think it's kinda hard to see
The stock of Company A lost $1.90 throughout the day and ended at a value
of $36.10. By what percentage did the stock decline?
Answer:
5%
Step-by-step explanation:
36.10 + 1.90 = 38
1.9 / 38 = 0.05
0.05 x 100 = 5
The owner of a small store buys coats for $55 each answer Parts A and B. Hey. He sells the coats for $66 each. What is the percent of the purchase price is the sale price? The sale price is 120% of the purchase price B. The owner increases the sale price by the same percent that you found in part A when he buys jackets for $45 and sells them. How many jackets must the owner by for the total jacket sales to be at least $260? Explain your answer.
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Answer:
The general rule is [tex]a_n = -2 - 5(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:
[tex]a_{n} = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:
[tex]a_n = a_m + (n-m)d[/tex]
a3 = -12 and a8 = -37
First we find the common difference. So
[tex]a_n = a_m + (n-m)d[/tex]
[tex]a_8 = a_3 + (8-3)d[/tex]
[tex]-37 = -12 + 5d[/tex]
[tex]5d = -25[/tex]
[tex]d = -\frac{25}{5}[/tex]
[tex]d = -5[/tex]
So
[tex]a_n = a_1 - 5(n-1)[/tex]
Finding the first term:
[tex]a_n = a_1 - 5(n-1)[/tex]
Since [tex]a_3 = -12[/tex]
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_3 = a_1 - 5(3-1)[/tex]
[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]
So the general rule is:
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_n = -2 - 5(n-1)[/tex]
Help!! Thanks in advance
Answer:
I uploaded a file hosting for your question!
Here’s the answer:
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Step-by-step explanation:
[tex]\frac{9}{11} =\frac{x}{22}[/tex]
[tex]11x=198[/tex]
[tex]x=18[/tex]
Answer:
18 is the answer of the question
y varies directly as x and inversely as the square root of w; write the sentence as an equation:
Which equation describes the line???
Answer:
The answer is D. y-10=2(x-1)
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
First, find the slope from the two points:
m=(10-2)/(1+3)=2
let [tex]y_{1}=10 and x_{1}=1[/tex]
thus, y-10=2(x-1)
Solve: (-8)(-9)(-3)
Divide or multiple
Answer:
(-8)(-9)(-3)= -216
Step-by-step explanation:
-8 x -9 x -3 = -216