To convert the equation 5x+10y=15 into the slope-intercept form y=mx+b, subtract 5x from both sides and then divide by 10. The final equation will be y = -0.5x + 1.5, where -0.5 is the slope (m) and 1.5 is the y-intercept (b).
Explanation:Converting the equation 5x+10y=15 into slope-intercept form (y=mx+b) involves isolating y on one side of the equation. The slope-intercept form of an equation is defined such that m is the slope and b is the y-intercept.
Here are the steps to convert this:
Start with the original equation: 5x + 10y = 15.Subtract 5x from both sides to get: 10y = -5x + 15.Divide every term by 10 to isolate y: y = -0.5x + 1.5.The equation is now in the form y = mx + b. Here, the slope, m, is -0.5 and the y intercept, b, is 1.5, which is the point at which the line intercepts the y axis.
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The angle turns through 1-9 of the circle
Brooke has to set up 70 chairs in equal rows for the class talent show. What are the possible number of rows that Brooke could set up?
The possible number of rows that Brooke could set up are 2, 5, 7, 10, and 14.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let x be the number of rows. There is not room for more than 20 rows:
x ≤ 20
Since all rows must be equal, when we divide 70 by x, we must get a whole number. So, we must find all divisors of 70 smaller or equal to 20 and they are: 2, 5, 7, 10, and 14.
So, the possibilities are:
2 rows with 35 chairs in each row
5 rows with 14 chairs in each row
7 rows with 10 chairs in each row
10 rows with 7 chairs in each row
14 rows with 5 chairs in each row
Therefore, the possible number of rows that Brooke could set up are 2, 5, 7, 10, and 14.
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"Your question is incomplete, probably the complete question/missing part is:"
Brooke has to set up 70 chairs in equal rows for the class talent show. but, there is not room for more than 20 rows. what are the possible number of rows that Brooke could set up.
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.
If no money was deposited into or withdrawn from the account, what was the annual interest rate?
Enter your answer in the box.
The annual interest rate is 6% and this can be determined by using the formula of simple interest and also by using the given data.
Given :
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.The formula of the simple interest can be used in order to determine the annual interest rate.
The formula of the simple interest is given by:
A = P(1 + rt)
where A is the final amount, P is the principal amount, r is the rate of interest, and t is the time in years.
Now, substitute the values of the known terms in the above formula.
520 + 156 = 520(1 + 5r)
Simplify the above expression in order to determine the value of 'r'.
676 = 520(1 + 5r)
1.3 = (1 + 5r)
0.3 = 5r
r = 0.06
Now, multiply by 100 in order to determine the percentage.
r = 0.06 [tex]\times[/tex] 100
r = 6%
So, the annual interest rate is 6%.
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what is 12 divided 155 WITHOUT DECIMALS
BTW the problem involves long division
Answer:
12 R11 or 12 11/12
Step-by-step explanation:
Create a set of 5 numbers for which the median is 6, the range is 6, and the mean is 6
Answer:
3,5,6,7,9
These are the answers
a swimming pool has 500 gallons of water in it and is leaking. the change in the amount of water in the pool is -3 gallons per hours. how many gallons of water will the pool contain after 6 hours show your work
The swimming pool will contain 482 gallons of water after 6 hours.
Explanation:To find out how many gallons of water the pool will contain after 6 hours, we can use the formula: Volume = initial volume + rate of change * time. In this case, the initial volume is 500 gallons, the rate of change is -3 gallons per hour, and the time is 6 hours.
Using the formula, we have: Volume = 500 + (-3 * 6) = 500 - 18 = 482 gallons.
Therefore, the pool will contain 482 gallons of water after 6 hours.
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what would be the value of the number in the 30th position
Santiago, a park ranger, was trying to estimate the number of catfish in a lake. He randomly caught 32 catfish, tagged them, and let them go. Six months later, he surveyed fisherman at the lake about how many catfish they caught that were tagged. His survey results showed that 350 catfish were caught and 13 had tags on them. Which is the best estimate for the size of the catfish population in the lake? A. 862 catfish B. 1,420 catfish C. 4,550 catfish D. 11,200 catfish
Answer:
D. 11,200
Step-by-step explanation:
I said that because it has been a lot of cat fishing
The ratio of the number of boys to the number of girls is 4:5 there are 270 students at the school. For each of the following statements explain, whether the statement is true or false and why
The Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The ratio of the number of boys to the number of girls at Liam's school is 4:5 and there are 270 students at his school.
4x + 5x = 270
9x = 270
x= 30
Then, Total boys = 4(30) = 120
Total girls = 5(30) = 150
We can see that Clearly, (Number of girls) > (Number of boys)
Difference = (Total girls) - (Total boys)
= 150-120
= 30
Hence, The Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
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What is exponential form?
what is 9.868+6.329 =
Which shows the expression below in simplified form?
(5.5 × 10^-6) - (3.7 × 10^-7)
A.
1.8 × 10^-6
B.
1.8 × 10^-7
C.
5.463 × 10^-6
D.
5.13 × 10^-6
Answer:
Option D.
Step-by-step explanation:
The given expression is [tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]
We have to write it in the simplified form.
[tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]
= [tex](5.5\times 10^{-6})-(0.37\times 10^{-6} )[/tex]
= (5.5 - 0.37)×[tex]10^{-6}[/tex]
= 5.13×[tex]10^{-6}[/tex]
Option D will be the answer.
A runner is 7/8 mile from the finsh line. she can travel 3/8 mile per minute,how long will it take her to finsh the race
In the election, candidate B recieved twice as many votes as candidate A. Candidate C recieved 15,000 fewer votes than candidate A. If a total of 109,000 votes were cast, how many votes did candidate B recieve?
What is 5/9 divided by -27
Explain why -4 is greater than -10 even though 4 is less than 10
What is the sum of the interior angles in a hendecagon
what are materials both the moon and Earth have?
example : both the moon and earth have craters
how do divide 9.54 by 1.8
what is 1 1/3 and 1.3 closest to 0,1,2,3 and how
look at problem 5 if the pattern continues will pizza and tacos be served on the same day in 21 school days?explain why not ?
Part 1: Pizza and tacos will be served on the same day again in 11 school days.
Part 2: No, pizza and tacos will not be served on the same day in 21 school days because 21 is not divisible by the LCM of 4 and 3, which is 12.
Part 1: To find the number of school days until pizza and tacos are served on the same day again, we need to find the least common multiple (LCM) of 4 and 3, which represents the cycle length for both pizza and tacos.
Find the least common multiple (LCM) of 4 and 3.
LCM(4, 3) = 12
Subtract 1 from the LCM to find the number of school days until pizza and tacos are served on the same day again.
Number of school days = LCM(4, 3) - 1
Number of school days = 12 - 1
Number of school days = 11
Therefore, pizza and tacos will be served on the same day again in 11 school days.
Part 2: To determine if pizza and tacos will be served on the same day in 21 school days, we need to check if 21 is divisible by the LCM of 4 and 3, which is 12.
Divide 21 by the LCM of 4 and 3.
21 ÷ 12 = 1, with a remainder of 9
Since the remainder is not 0, pizza and tacos will not be served on the same day in 21 school days.
Explanation: The cycle of pizza and tacos being served on the same day repeats every 12 school days (LCM of 4 and 3). If the number of school days is divisible by 12, then pizza and tacos will be served on the same day. However, since 21 is not divisible by 12 (it has a remainder of 9), pizza and tacos will not be served on the same day in 21 school days.
Complete question:
Part 1: Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both pizzas and tacos are served today. In how many school days will pizza and tacos be served on the same day again? Part 2: If the pattern continues, will pizza and tacos be served on the same day in 21 school days? Explain why or why not.
Mr. franklin paid $33.20 for 8 gallons of gas. What is the price of 1 gallon ?
632 16/25+32 3/10 what does that =
Answer:
[tex] 664 \frac{47}{50} [/tex]
Step-by-step explanation:
Let's first add 16/25 with 3/10. To do that, we look for the least common multiple between 25 and 10, which is 50 and we put it in the denominator. Then, we have to compute (50/25)*16, which is equal to 32, and add it to (50/10)*3, which is equal to 15
[tex] \frac{16}{25} + \frac{3}{10} = \frac{32 + 15}{50} = \frac{47}{50} [/tex]
On the other hand, to the non-fraction terms, we just add them. So, 632 + 32 = 664
Finally, the result is 664 47/50
if 20% is $2.80, what is the full price?
Help on Genetics homework
Which pair of angles are vertical angles?
Answer:
Option C is correct that is ∠ERT and ∠MRC are vertically opposite.
Step-by-step explanation:
Vertical angles are the angles that are exactly opposite to each other in crossed lines.
Here, ∠ERT and ∠MRC are the two angles that are vertically opposite.
Therefore, Option C is correct.
Rest all three option A,B and D are discarded.
mario travel 180 miles in 2.5 hours if mario travels at the same rate how far can mario travel in 5 hours
bicyclist Mario Cipollini pedaled one stage of the 1999 tour de France in about 3.9 hours If he traveled about 195 kilometers what was his average speed in kilometers per hour
list the first 5 multiples and find ALL the factors of 18. Prime or Composite?
The first 5 multiples of 18 is = 18 , 36 , 54 , 72 , 90
The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18
What are Factors of a Number?
Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder
Given data ,
Let the number be A = 18
Now ,
The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18
The factor pairs of 18 is given by
Factor pairs are the two numbers that, when multiplied, give the number 18.
Therefore, pair factors of 18 are (1,18), (2,9), and (3,6)
The prime factorization of 18 is
Prime Factorization of 18 = 2 × 3²
The first 5 multiples of 18 is = 18 , 36 , 54 , 72 , 90
Hence , first 5 multiples of 18 are 18 , 36 , 54 , 72 , 90 and the factors of 18 are 1 , 2 , 3 , 6 , 9 and 18
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3x + 2y = 2
-2x + y = 8
Solve the system of equations.
A)
(-2,4)
B)
(4,-2)
C)
(-4,-2)
D)
(5/4), (-1/2)