Answer:
[tex] \frac{13}{35} [/tex]
Step-by-step explanation:
To add or subtract two or more fractions from each other, the denominators have to be the same. To make the denominators the same, we should find the least common multiple of 5 and 7. The least common multiple of 5 and 7 is 35. 5 should be multiplied with 7 to get 35 and 7 should be multiplied with 5 to get 35 (with both numerators).
[tex] \frac{4}{5 } - \frac{3}{7} [/tex]
[tex] \frac{4 \times 7}{5 \times 7} - \frac{3 \times 5}{7 \times 5} [/tex]
[tex] \frac{28}{35} - \frac{15}{35} [/tex]
[tex] \frac{13 }{35} [/tex]
When subtracting, only subtract the numerators (the denominators are kept as is).
Answer:
the answer is 13/35
Step-by-step explanation:
3y + 8 = I 7
Also can you show me the written steps?
Work out the first four terms and the 10th term of the quadratic
sequence with
a T(n) = 2n2 + 4
b T(n) = 3n2-3
c T(n) = -3n2 + 7
d T(n) = 4n? -5
Answer:
a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
Step-by-step explanation:
a.
∵ T(n) = 2n² + 4 is the rule of the sequence, where
n is the position of the number in the sequence∴ For the first term, n = 1
→ Substitute n by 1 in the rule above to find T(1)
∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4
∴ T(1) = 6
→ For the second term, n = 2
∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4
∴ T(2) = 12
→ For the third term, n = 3
∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4
∴ T(3) = 22
→ For the fourth term, n = 4
∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4
∴ T(4) = 36
→ For the tenth term, n = 10
∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4
∴ T(10) = 204
The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b.
∵ T(n) = 3n² - 3 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3
∴ T(1) = 0
→ For the second term, n = 2
∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3
∴ T(2) = 9
→ For the third term, n = 3
∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3
∴ T(3) = 24
→ For the fourth term, n = 4
∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3
∴ T(4) = 45
→ For the tenth term, n = 10
∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3
∴ T(10) = 297
The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c.
∵ T(n) = -3n² + 7 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7
∴ T(1) = 4
→ For the second term, n = 2
∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7
∴ T(2) = -5
→ For the third term, n = 3
∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7
∴ T(3) = -20
→ For the fourth term, n = 4
∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7
∴ T(4) = -41
→ For the tenth term, n = 10
∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7
∴ T(10) = -293
The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d.
∵ T(n) = 4n² - 5 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5
∴ T(1) = -1
→ For the second term, n = 2
∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5
∴ T(2) = 11
→ For the third term, n = 3
∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5
∴ T(3) = 31
→ For the fourth term, n = 4
∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5
∴ T(4) = 59
→ For the tenth term, n = 10
∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5
∴ T(10) = 395
The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
What does the word “keep” mean in “keep change flip” a) keep everything the same b) keep the first fraction the same c) keep the second fraction the same d) keep the sing the same.
Answer:
That's the rule used to divide fractions.
So keep the first fraction, change the sign from divide to multiply, then flip the second fraction.
Example:
1/2 ÷ 3/5 --> 1/2 x 5/3
simplify. write your answer in standard form.
-4-8x+2x-15
Answer:
x=2
Step-by-step explanation:
Write each number in scientific notation.
160,000,000
29,830
0.000350
Please answer asap!!
Thank you
Answer:
one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths
Step-by-step explanation:
Each of the numbers written in word form instead of standard form. Hope it helps!
One pound of apples is $2. You have no more than $13 to spend on apples
Answer:
You are able to by 6 apples with $1.00 dollars remaining.
Step-by-step explanation:
I'm not sure what you were trying to ask because you didn't leave a question in the statement you provided
Answer:
You can buy 6 pounds of apples.
Step-by-step explanation:
13 is an odd number, so we find the closest even number that doesn't go over 13. That number is 12. Then, we take 12 and divide it by 2, since $2 is how much a pound of apples cost. 12 divided by 2 is 6. So, our answer is 6 pounds of apples.
Hope this helped you!
HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME
Answer:
No.
Step-by-step explanation:
We will figure this out using subtraction.
96-24=72
112-28= 84
Simplified:
72/9= 8
84/9=9.33
So, no. They are not equivalent. Also is there any context?
Answer:
what you need help with
Step-by-step explanation:
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?
−6
−5
5
6
I will give brainliest
Answer: Probably m = -1/6 and b = 5
Warning: I might be wrong.
Answer:
5
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Assuming you want to arrive as close to the scheduled time as possible, from which airline should you buy your ticket? Justify your response by addressing both the measures of center and spread of the distributions.
Answer:
Airline Q because it has the most on time arrivals and it is spread out to have more early arrivals than airline p
Step-by-step explanation:
how do you multiply powers that have the same base
Answer:
The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents
Without solving, how can you tell that the inequality 4x + 8 = 4x - 3 has no solution?
Answer:
there are no x values of X that make the equation true
Step-by-step explanation:
The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution or the equation is wrong.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
Given the equation
4x + 8 = 4x - 3
Subtract 4x from both sides
4x + 8 - 4x = 4x - 3 - 4x
(4x - 4x) + 8 = (4x - 4x) - 3
8 ≠ 3
Since it is not satisfying so it will not have any solution.
Hence "The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution".
For more about the equation,
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please help I have no clue how to do this
Answer:
[tex]x=43\\[/tex]°
Step-by-step explanation:
considering m║n, the two labeled angles are alternate exterior angles. alternate exterior angles are equivalent. So you will have an equation of:
[tex]4x-27=3x+16[/tex]. Add 27 on both sides and get: [tex]4x=3x+43[/tex]. subtract [tex]3x[/tex] from both sides to get: [tex]x=43[/tex]°.
Find the LCM.
5, 20, 68
Are rational numbers closed under squaring?
Answer:
The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication
Step-by-step explanation:
Vocabulary Which statements are true about opposites? Choose all that apply.
Answer:
where are the options?
Step-by-step explanation:
I really need help with this
The Trailblazer Diner serves hotdog plates for $4.50 each and hamburger plates for $6. If 512 students bought lunch from the diner and the total revenue from the sale of the plates was $2,580, then how many hotdog plates were sold, and how many hamburger plates were sold?
Answer:
256 of each
Step-by-step explanation:
512 divided by 2= 256
The function yields the average cost in dollars for a company to produce x copies of a comic book. Which statement best fits the situation modeled by the function? The company earns 20% of the issue price as profit from each copy sold. The company earns 20 cents as profit from each copy sold. The company spends 20% of the issue price on materials to produce each copy. The company spends 20 cents on materials to produce each copy.
Answer: 20cents
Step-by-step explanation;
Company spends 20 cents on materials to produce each copy
f(x) represents the average cost in dollars for a company
x represents the number of copies of comic produced by company.
Total cost in dollars for a company = 80,000 + 0.2x
Since, x is the number of copies of comic produced ,
0.2x indicates that it spends $0.2 on material to produce each copy.
Use conversion:
1 dollars = 100 cents
0.2 dollars = 20 cents.
Answer:
The correct option is D the company spends 20 cents on materials to make each copy
Step-by-step explanation:
y=50(3)^20
please please please answer soon 20 points
Answer:174339220050
Step-by-step explanation: Raise 3 to the 20th power, then multiply by 50
Please help me the picture is above I’ll mark you as the brainliest but please show the work. Thank you! :)
a) whatever is in the bracket you substitute into x.
c(100) = (1.25*100) + 2175
= 125 + 2175
= 2300
Another exmaple: if it says c(2 + x) then you substitute that into x
→ 1.25(2 + x) + 2175 (and then expand that)
b) A physical interpretation of this could be:
For every 1.25 w-widget that is produced, you would add $2175 for the other costs. (something like that)
whats the answer to number 3? please and thank you! and please provide steps
Answer:
33°
Step-by-step explanation:
In triangle ABC,
<ABC +<BAC+<ACB =180°[Sum of three angles of a triangle]
2x+15+2x+x=180
5x=180 - 15
x=165/5
x=33°
Hope this helps!!
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
o y = -xx-1
y=-{x+5
O y = 2 x 1
y=x+5
Kathy deposits $25 into an investment account with an
annual rate of 5%, compounded annually. The amount in
her account can be determined by the formula A = P(1 + R),
where P is the amount deposited, R is the annual interest
rate, and t is the number of years the money is invested. If
she makes no other deposits or withdrawals, how much
money will be in her account at the end of 15 years?
Answer:
25 x 1.05^15 = $51.97
HELP QUICK PLEASE!!!
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Select Congruent or Not Congruent for each pair of quadrilaterals.
Congruent Not Congruent
quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4
Answer:
1, 4 nope 2, 3 yep
Step-by-step explanation:
simplify 7/9 14 (please help)
the answer is 1/18 i belive bc in the way u asked this is kinda confusing so im sorry if im wrong
Carter's football team played 10 games this season.
They won only 20% of their games. How many games
did Carter's team lose?
Answer:
Carter's football team lost 8 games.
You can multiply -2.2 by 6.2 to find the total variation in water level. What decimal represents the total variation in water level that Ericka observed?
Answer:
-13.64
Step-by-step explanation:
no explanation needed. Hope this really helps! :):) :) :) :)
13.64 decimal represents the total variation in water level that Ericka observed.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, You can multiply -2.2 by 6.2 to find the total variation in water level.
Since it is already given that the multiple of -2.2 and 6.2 will give the total variation of water level.
Thus, the decimal represents the total variation in water level that Ericka observed = -2.2 * 6.2
the decimal represents the total variation in water level that Ericka observed = 13.64
therefore, the decimal represents the total variation in water level that Ericka observed is 13.64.
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A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?
The slope of y = 2x - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points A and B is also 2. This means
(8 - 4) / (6 - n) = 2
Solve for n :
4 / (6 - n) = 2
4/2 = 6 - n
2 = 6 - n
n = 6 - 2
n = 4
The triangle shown below is translated 5 units down and 3 units to the left. What are the coordinates of the vertices of the translated triangle? * D 2 3 4 O (2.0), (2-1), and (-1,-4) O (2,10).(-2,9), and (-1, 11) 0 (0,2).(-4,1), and (-3,-2) 0 (0,8).(-4,7), and (-3, 4)
Answer:
Where's the picture?
Step-by-step explanation:
The soccer team is
conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10.
So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the
number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
O x + y < 200
O x + y > 200
O 14x + 10y > 200
O 14x + 10y < 200
Answer
it’s c
Step-by-step explanation:
you fool I have been trained in your Jedi arts by count dooku
I got a hundo on the test
Inequalities help us to compare two unequal expressions. The inequality that best the T-shirts they have sold is 14x+10y<200.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the cost of long-sleeved T-shirts is $14, while the short-sleeved T-shirts cost $10. Also, it is given the number of long-sleeved T-shirts is represented by x, while the number of short-sleeved T-shirts is represented by y. Therefore,
14x + 10y
Since the sales done is less than $200, therefore, the inequality that best the T-shirts they have sold is,
14x + 10y < 200
Hence, the inequality that best the T-shirts they have sold is 14x+10y<200.
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What is x. In x − 7 = 13.
Answer:
x=20
Step-by-step explanation: