The numbers are 13 and 3.
Let the numbers be x and y. Equation representing difference of these numbers-
x - y = 10 : equation 1
Equation representing product of these numbers- x × y = 39 : equation 2
Rewriting the equation 2 in terms of y
y = 39/x : equation 3
Keeping the value of y from equation 3 in equation 1
x - 39/x = 10
Multiplying the equation by x
x² - 39 = 10x
Rearranging the equation
x² - 10x - 39 = 0
Factorising the equation
x² - 13x + 3x - 39 = 0
x(x - 13) +3 (x - 13) = 0
(x + 3) (x - 13) = 0
Value of x = 13 and -3
Taking positive value of x
Keeping value of x in equation 3
x = 13
y = 39/13
y = 3
Hence, the numbers are 13 and 3.
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The difference between 12 and ten times a number is !28
The expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28
How to represent the mathematical statement as an expression?The mathematical statement is given as
The difference between 12 and ten times a number is 28
The difference of numbers means subtraction
So, we have
The difference between 12 and ten times a number is 28 => 12 - ten times a number is 28
Let the number be x
So, we have
The difference between 12 and ten times a number is 28 => 12 - ten times x is 28
The product of numbers means multiplication
So, we have
The difference between 12 and ten times a number is 28 => 12 - 10 * x is 28
Evaluate the product
The difference between 12 and ten times a number is 28 => 12 - 10x is 28
Rewrite as
The difference between 12 and ten times a number is 28 => 12 - 10x = 28
Hence, the expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28
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What’s a segment bisector?
Answer:
A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts.
Step-by-step explanation:
A segment bisector is something that splits a segment in half.
Like if I had a segment of 4, the segment bisector would cross through the middle and create 2 segments of 2.
The time T, necessary to make an enlargement of a photo negative,
varies directly to the area, A, of the enlargement. If 36 seconds are
required to make a 2-by-3 enlargement, find the time required for a
5-by-11 enlargement.
Answer:
330 seconds (5 minutes, 30 seconds)
Step-by-step explanation:
You want the time required for a 5×11 enlargement when a 2×3 enlargement takes 36 seconds, and time is proportional to area.
AreaThe area of a rectangle is the product of length and width.
area of smaller enlargement: 2×3 = 6
area of larger enlargement: 5×11 = 55
TimeThe time is proportional to the area, so when the area increases by a factor of 55/6, so does the time:
(36 seconds) × (55/6) = 330 seconds
The time required for a 5×11 enlargement is 330 seconds.
PLEASE HELP i’ll mark brainliest
Answer:
umm...
where's the question?
2
Using
f'(x) = instantaneous = lim f(x+h)-f(x).
rate of change
h→0
h
find f'(x) when f(x) = -4x² - 6x + 7
Explanation
[tex] \frac{ - 4(x + h)^{2} - 6(x + h) + 7 + 4 {x}^{2} + 6x - 7 }{h} \\ \frac{ - 4 {x}^{2} - 8hx - 4 {h}^{2} - 6x - 6h+ 7 + 4 {x}^{2} + 6x - 7 }{h} \\ \frac{ { - 4h}^{2} - 8hx - 6h }{h} \\ \frac{h( - 4h - 8x - 6)}{h} \\ - 4h - 8x - 6 \\ since \: you \: given \: h \: approaches \: 0 \\ - 4(0) - 8x - 6 \\ -8x - 6[/tex]
Answer
-8x-6
Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters of juice are in the medium bottle?
Answer:
350 milliliters
Step-by-step explanation:
70% of 500 is 350
& Elmer Elementary School has 576 students
On
of
off
cor
10.
and 24 teachers Savoy Elementary School
has 638 students and 29 teachers. Which
school has the lower unit rate of students
per teacher?
Answer: Elmer Elementary School has 24 students per teacher. Savoy Elementary School has 22 students per teacher, so the answer is Savoy Elementary School.
Step-by-step explanation:
The perimeter of a rectangle is 70cm.
Its longest side has a length of 24cm.
State the length of the shortest side.
Answer:
11 ALSO SOMEONE PLS ANSWER MY QUESTION
Step-by-step explanation:
24+24=48
70-48=22
22/2=11
2.Which of the following is NOT true? *
о
The Standard form identifies the y-intercept. It is the "c" from the equation
The Vertex form identifies the vertex
O The factored form helps to find the x-intercepts
The line of symmetry divides the quadratic graph into 4 parts
Answer:
The line of symmetry divides the quadratic graph into 4 parts
Step-by-step explanation:
The line of symmetry divides the quadratic graph into 2 parts, not 4 parts.
Since a quadratic parabola is symmetrical on two sides, the line of symmetry divides it into these 2 parts.
So, this statement is not true.
Select the better answer for the definition: Exponent.
1. Represents both an integer exponent and an nth root. The root is found in the
denominator and the integer exponent is found in the numerator.
2. There is no correct answer given
3. The value inside the radical symbol. The value you want to take the root of.
4. A number that determines how many times to use that number in a multiplication
5. An expression that has a square root, cube root, etc.
Answer: 4
Step-by-step explanation:
If I had 3 to the power of 4, I would multiply it by three 4 times. (3x3x3x3=81) The exponent is telling me how many times to use 3 in multiplication
This is my 100th answer :D
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument?
Answer:
57.14%
Step-by-step explanation:
add those 3 together and convert whats left into a percentage
Chose the correct solution graph for the inequality.
-3x>24
i think its A but i need help
Answer:
D
Step-by-step explanation:
24/-3 = -8
since we divided by a negative, we have to flip the symbol to <
x < -8
50 points. Which option is it?
Answer:
You ready chose the answer
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
A line passes through points (2, 1) and (-1, 3). What is the eqaution of this line?
A causal relationship means one action or event is the cause of another. A correlational relationship describes a connection between events, but it does not mean one event or action caused the other. Does the video describe a causal or correlational relationship between the health of the Lake Erie ecosystems and human needs and activities surrounding it?
The equation of a line is given as y = -2/3x + 7/3
Equation of a lineThe formula for calculating the equation of a line is expressed as;
y = mx + b
where;
m is the slope
b is the y-intercept
Given the coordinate points (2, 1) and (-1, 3)
m = 3-1/-1-2
m = 2/-3
m = -2/3
Determine the y-intercept
1 = -2/3(2) + b
1= -4/3 +b
b = 1 + 4/3
b = 7/3
Hence the equation of a line is given as y = -2/3x + 7/3
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What is the smallest 4 digit number divisible by 12, 18, and 21
Answer:
1080 ia the smallest number divisible by 12, 18, and 21
Is there anyone who get answers on your question?
i upload the question 30min before, but nobody answered...
Answer:
I WILL ANSWER YOUR QUESTION BUT PICK ME AS THE BRAINLIEST 1ST
Step-by-step explanation:
I PROMISE
Need help ASAP PLEASE
greater variety of age, range
What decimal represents the shaded part of the figure
Answer: 0.72
Step-by-step explanation: 72/100 of the block are shaded. The decimal form of that fraction is 0.72
0.53 divided by 0.1=
COMPLETE ANSWER
THE ANSWER TO THE QUESTION IS I'M GOING TO VOTE BRAINLIEST
B. Give the correct managerial roles being asked.
6. One employee asks that the grievance committee be setup because he has a complaint against a co-worker.
7. A manager was given a budget of P300,000 to achieve the be distributed among different groups to achieve the project.
8. Subordinates looks to the manager to give directions sothey can follow.
9. The department head tells his department what the CEO wantsthem to do regarding a certain product.
10. Mr. Castro is assigned to give the address speech in behalf ofthe company.
Plss.. answer the question
Answer:
8. Subordinates looks to the manager to give directions so they can follow.
9. The department head tells his department what the CEO wants them to do regarding a certain product.
Step-by-step explanation:
Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?
Answer:
11
Step-by-step explanation:
Her rate is 3 minutes per one ear.
33/3 = 11
(D) 99 is the answer I took the test.
You set a goal of creating a $16,000 emergency fund. You earn a salary of $40,000 per year
and decide to save 20% of your gross pay. How long will it take for you to achieve your goal?
A. 6 months
B. 1 year
C. 2 years
D. 3 years
Answer:
the answer is C. 2 years
20% of 40000 is 8000, remember that gross pay is for the end of the year not monthly
Step-by-step explanation:
It will take 2 years for you to achieve your goal. which is the correct answer would be an option (C).
Given that,
You set a goal of creating a $16,000 emergency fund. You earn a salary of $40,000 per year and decide to save 20% of your gross pay.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Calculating 20% of the gross pay:
⇒ 20% of 40,000 = 0.20(40,000) = 8000
Since the set a goal of creating a $16,000 emergency fund.
So the required time will be :
⇒ 16,000/ 8000 = 2
Thus, it will take 2 years for you to achieve your goal.
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Which expression is equivalent to 1/1-2 sin^2(x)
Answer:
Sin x+1
Step-by-step explanation:
that should help you if it doesnt im sorry
Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?
The expression for the total cost is 1.25r.
How to compute the expression?From the information given, Rick is going to buy donuts for his family and each donut costs $1.25.
Also, the number of donuts Rick buys is represented using the letter r. Therefore, the expression for the total.cost will be:
= 1.25 × r
= 1.25r
The total cost is 1.25r
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Together teammates pedro and ricky got 2685 base hits last season. Pedro had 275 more than ricky. How many hits did each player have?
What is the prime
factorization of 200
using exponents?
The prime factorization of 200 with exponent is 23*52.
Factoring involves finding two numbers that, when multiplied together, yield the original number. But often we can factor these two factors into smaller numbers, and even find the factors of these smaller numbers. Prime factorization divides a number into a series of prime numbers and allows them all to be multiplied to equal the original number.
First, find the prime factorization of 200.
(200=2*100) (200=2*100)
(200=2*2*50) (200=2*2*50)
(200 = 2 * 2 * 2 * 25) (200 = 2 * 2 * 2 * 25)
(200 = 2 * 2 * 2 * 5 * 5) (200 = 2 * 2 * 2 * 5 * 5)
Then group similar factors together.
(2∗2∗2)∗(5∗5)(2∗2∗2)∗(5∗5)
Hence, we write the prime factorization list, but we represent the grouped factors by writing the base factors and adding exponents of the number of times they are repeated.
23 * 53
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Donald has 5 amount of 20 dollar bills and 1 ten dollar bill. Write an expression to show how to find how much money Donald has.
Answer:
He has 110
Step-by-step explanation:
5x20 = 100
100 + 10 = 110
What are the slope and y-intercept of the graph of the given equation?
y = –4x + 2
a. The slope is 2 and the y-intercept is –4.
b. The slope is 4 and the y-intercept is –2.
c. The slope is –2 and the y-intercept is –4.
d. The slope is –4 and the y-intercept is 2.
Answer:
the answer is D The slope is -4 and the y-intercept is 2
Step-by-step explanation:
the equation use is y=mx+b slope repusents M and the y-intercept repusents B hope this helps you out
What is the missing coefficient of the x-term of the product (−x−5)2 after it has been simplified?
A. −25
B. −10
C. 10
D. 25
Answer: c
Step-by-step explanation:
Answer:
The missing coefficient of the x-term of the product (-x-5)2 is 10.
Step-by-step explanation:
Solution:
Through whole square formula.(-x-5)2 = (-x)^2 -2(-x)(5)+(5)^2=x^2+10x+25
Therefore, the missing coefficient of the x-term of the product is 10
Step-by-step explanation:
Gail had $5,500 that she wants to put in a new savings account. She is considering two banks that are very similar. One difference she noticed are the interest rates
Answer:
so sorry
Step-by-step explanation:
Answer:
Neighborhood Bank
Step-by-step explanation:
0.65% interest, compounded weekly