The sum of 5 consecutive integers is 505
To find the sum of 5 consecutive integers, use the formula (n + n+1 + n+2 + n+3 + n+4), where n is the first integer. The consecutive integers are 99, 100, 101, 102, and 103.
Explanation:To find the sum of 5 consecutive integers, we can use the formula (n + n+1 + n+2 + n+3 + n+4), where n is the first integer. In this case, the sum is 505, so we have the equation: n + (n+1) + (n+2) + (n+3) + (n+4) = 505. Simplifying this, we get: 5n + 10 = 505. Subtracting 10 from both sides gives 5n = 495. Dividing both sides by 5, we find that n = 99.
Therefore, the 5 consecutive integers are 99, 100, 101, 102, and 103.
how do I solve -15=-4m+5
The solution to the equation -15 = -4m + 5 is m = 5.
We have,
To solve the equation -15 = -4m + 5, you can follow these steps:
- Step 1:
Start by isolating the variable term (-4m) on one side of the equation.
You can do this by subtracting 5 from both sides:
-15 - 5 = -4m
Simplifying, we get:
-20 = -4m
Step 2:
Divide both sides of the equation by -4 to solve for m:
-20 / -4 = -4m / -4
Simplifying, we get:
5 = m
Therefore,
The solution to the equation -15 = -4m + 5 is m = 5.
Learn more about equations here:
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An animal shelter spends $1.00 per day to care for each bird and $7.00 per day to care for each cat. Oliver noticed that the shelter spent $186.00 caring for birds and cats on Wednesday. Oliver found a record showing that there were a total of 36 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
the vertices of a triangle are A(-2,4), B (1,2), and C(-2,-2). reflect the triangle in the y-axis, and then rotate the image 90 degrees counterclockwise about the origin. what are the coordinates of the image?
The coordinates of the image of triangle ABC are A''(4, -2), B''(2, 1) and C''(-2, -2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x).
Given that, he vertices of a triangle are A(-2,4), B (1,2), and C(-2,-2).
Reflect the triangle in the y-axis
The rule for a reflection over the y -axis is (x,y)→(-x, y)
Here, A(-2, 4)→A'(2, 4)
B (1,2)→B'(-1, 2)
C(-2,-2)→C'(2, -2)
Then rotate the image 90 degrees counterclockwise about the origin.
A'(2, 4)→A''(4, -2)
B'(-1, 2)→B''(2, 1)
C'(2, -2)→C''(-2, -2)
Therefore, the coordinates of the image of triangle ABC are A''(4, -2), B''(2, 1) and C''(-2, -2).
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two friends share 7 cookie equally. How many cookies does each friend get?
Answer: Each friend get 3.5 cookies.
Step-by-step explanation: Given that two friends share 7 cookie equally.
We are to find the number of cookies that each friend get.
We will be using the UNITARY method to solve the given problem.
Number of cookies shared by 2 friends equally = 7.
Therefore, number of cookies that one friend get will be
[tex]\dfrac{7}{2}=3.5.[/tex]
Thus, each friend get 3.5 cookies.
Solve each problem for the given variable
-3c+ac=ac=4 solve for c
X/Y +4=x/5 solve for x
Gerardo has an average of 83 on his five math tests. What must he score on his sixth test to raise his average to 85?
What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?
k =
Is also sort of math but how do you do celsius since I can't figure out how to do it since I'm American so I've never learned it in my school
to convert Fahrenheit to Celsius
subtract 32 then multiply by 5/9
example 80 degrees F would be (80-32=48, 48 *5/9 = 26.66) 27 degrees C
Explain how you can find the numbers of ninths in 2 5/9
Answer:
23 is the required answer.
Step-by-step explanation:
We are given a fraction of the form [tex]2\frac{5}{9}[/tex].
It is a mixed fraction.
We convert it into improper fraction.
The improper fraction is of the form [tex]\frac{(9\times2)+5}{9} = \frac{23}{9}[/tex].
This fraction can also be written as 23 multiplied [tex]\frac{1}{9}[/tex] times.
It is clear that the above fraction have 23 parts of ninth.
In Zoe's class, 4/5 of the students have pets. Of the students who have pets, 1/8 have rodents. What fraction of the students in Zoe's class have pets that are rodents? What fraction of the students in Zoe's class have pets that are not rodents?
Final answer:
In Zoe's class, 1/10 of the students have pets that are rodents, while 7/10 have pets that are not rodents.
Explanation:
To calculate the fraction of students in Zoe's class who have pets that are rodents, you multiply the fraction of students who have pets by the fraction of those pet owners who have rodents:
4/5 × 1/8 = 4/40 or simplified, 1/10.
This means 1/10 of Zoe's class have rodents as pets.
Now, to find out the fraction of students with pets that are not rodents, subtract the fraction of students with rodents from the total fraction of students with pets:
4/5 - 1/10 = 32/40 - 4/40 = 28/40, which simplifies to 7/10.
So, 7/10 of Zoe's class have pets that are not rodents.
Before discarding, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. If she discards the gold. Are, what percent of her remaining cards are red?
After discarding the gold card, Carolee has a total of 10 cards left. The calculation for the percentage of red cards among these is (3 red cards / 10 total cards) × 100, resulting in 30% of the remaining cards being red.
Explanation:The question asks about the percentage of the remaining cards that are red after Carolee discards the gold card. Initially, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. After discarding the gold card, she has a total of 10 cards left (4 green + 3 red + 3 orange).
To find the percentage of the remaining cards that are red, we use the formula for percentage, which is (Part / Whole) × 100. In this case, the 'part' is the number of red cards, and the 'whole' is the total number of remaining cards.
Percentage of red cards = (Number of red cards / Total number of cards) × 100
= (3 / 10) × 100
= 30%
Therefore, 30% of Carolee's remaining cards are red.
Simplify 10 • 2 • 2 • 30 500 1200 4800 5000
Processing ends successfully
Answer:
1200
Step-by-step explanation:
10 times 2 is 20
20 times 2 is 40
40 times 30 is 1200
answer: 1200
factor out -1/4 out of -1/2x-5/4y
Help me please I really don’t understand
What is the expanded form of the first factor?
43 × 59
A.
43 + 0
B.
40 + 3
C.
54 + 5
D.
59 + 0
The Greendale fifth graders sat in the balcony at Symphony Hall. 15 students sat in each row. How many rows did they fill?
Please help...................................................
A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym membership for 6 months?
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all the students on the quiz?
A. 84.3
B. 85
C. none of these
D. cannot be determined
Final answer:
The approximate mean score for all the students on the quiz, calculated by weighing the means by the number of students in each section, is 85.71, which rounds to 86. Thus, the best answer choice (B) from those provided is 85.
Explanation:
To find the overall mean score for all the students on the quiz, we need to weigh the mean scores by the number of students in each section. We do this by multiplying each section's mean score by the number of students in that section, then adding these products together, and dividing by the total number of students.
For Section A: 15 students × mean score of 80 = 1200 total points.
For Section B: 20 students × mean score of 90 = 1800 total points.
The total points for both sections is 1200 + 1800 = 3000 points.
The total number of students is 15 + 20 = 35 students.
To find the overall mean, we divide the total points by the total number of students:
3000 total points ÷ 35 students = approximately 85.71.
Therefore, the approximate mean score for all the students on the quiz is 85.71, which, when rounded to a whole number, is 86. The closest answer choice given is B. 85, so that would be the best selection from the available options.
– (9 – 5c) + 18 – c = 37 please show your work.
Name all sets of numbers to which each real number belongs. Need answers from 54-59. Thank you.
25m/s to miles/h
Can anyone solve it?
With explanation if you can
25 meters per second x 60 seconds = 1500 meters per minute
1500 meters per minute x 60 minutes per hour = 90,000 meters per hour
1 mile = 1609.34 meters
90000/1609.34 = 55.92 miles per hour
round answer to either 55.9 or 56 mph depending on what you need.
Latrell has $8 to spend on postcards. He wants to buy one large postcard and some small ones. Write and solve an inequality to determine how many small postcards Latrell can purchase. Interpret the solution.
(2x+3 2/5) + (5x -4/3
How do you factor this out 2y^2+3y-35?
can you help with the air freshener question?? And can you simplify the answer
Write words to match the expression 6x(12-4)
Answer:
"6 times the difference of 12 and 4"
Step-by-step explanation:
Given: [tex]6\times (12-4)[/tex]
To write the given expression in words.
"6 times the difference of 12 and 4"
Because difference of 12 and 4 is 12-4
6 times of a number(n) is 6n
Therefore,
[tex]6\times (12-4)[/tex] as phrase "6 times the difference of 12 and 4"
Hence, The phrase of the given expression is "6 times the difference of 12 and 4"
(6^3)^2 =
A) 6^1
B) 6^5
C) 6^6
D) 6^9
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathtt{(6^3)^2}\\\\\mathtt{= (6\times6\times6)^2}\\\\\mathtt{= (36\times6)^2}\\\\\mathtt{= (216)^2}\\\\\mathtt{= 216^2}\\\\\mathtt{= 216\times216}\\\\\mathtt{= 46,656}\\\\\mathtt{= 6^6}\\\\\mathtt{= 6\times6\times6\times6\times6\times6}\\\\\mathtt{= 36\times36\times36}\\\\\mathtt{= 1,296\times36}\\\\\mathtt{= 46,656}\\\\\\\huge\text{Therefore your answer should be:}\\\boxed{\mathtt{Option\ C.\ 6^6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]If the value of "a" lies between −5 and 2 and the value of "b" lies between −7 and 1, what are the possible values for the product a· b?
The possible values for the product [tex]\( a \cdot b \)[/tex] are between -14 and 14, inclusive.
Here's the step-by-step calculation:
1. To find the minimum possible value, we multiply the smallest values of ( a ) and ( b ):
[tex]\( a = -5 \) and \( b = -7 \)[/tex]
[tex]\( a \cdot b = (-5) \cdot (-7) = 35 \)[/tex]
2. To find the maximum possible value, we multiply the largest values of ( a ) and ( b ):
[tex]\( a = 2 \) and \( b = 1 \)[/tex]
[tex]\( a \cdot b = 2 \cdot 1 = 2 \)[/tex]
So, the possible values for the product[tex]\( a \cdot b \)[/tex] are between -14 and 14.
The range of values for( a ) is from -5 to 2, and for ( b ) is from -7 to 1. To find the extreme values of the product [tex]\( a \cdot b \),[/tex] we multiply the smallest and largest values of ( a ) and ( b ).
For the minimum value, we take ( a = -5 ) and ( b = -7 ), which gives us [tex]( a \cdot b = 35 \).[/tex]
For the maximum value, we take ( a = 2 ) and ( b = 1 ), which gives us [tex]\( a \cdot b = 2 \).[/tex]
Therefore, the product[tex]\( a \cdot b \)[/tex] ranges from -14 to 14, inclusively.
complete question
If the value of "a" lies between −5 and 2 and the value of "b" lies between −7 and 1, what are the possible values for the product a· b?