Write the formula for the sum of 7 consecutive numbers if the first number is m. \
Answers
Answer:
Step-by-step explanation:
If you have an odd number of consecutive numbers, the middle number should be x. So 7 of them would be written as
(x - 3)+(x - 2) + (x - 1) + x + (x + 1) + (x + 2) + (x+3)
That way all you are left with is 7x because the integers cancel.
That is not your question
You question is
Sum = m+(m + 1) + (m + 2) + (m + 3) + (m + 4) + (m + 5) + (m + 6)
Hello!
We can say what the formula is:
7m + 21Let's go?We need a formula to add 7 consecutive numbers, m being the first one.
So, we have:
m + (m + 1) + (m + 2) + (m + 3) + (m + 4) + (m + 5) + (m + 6)Now, let's simplify, joining the m and the numbers:
m + m + m + m + m + m + m + 1 + 2 + 3 + 4 + 5 + 6 = 7m + 21So, the formula is:
7m + 21.Let's go with an example?Let's say that m is 2. So, we substitute in the first non-simplified formula:
2 + (2 + 1) + (2 + 2) + (2 + 3) + (2 + 4) + (2 + 5) + (2 + 6) 2 + 3 + 4 + 5 + 6 + 7 + 8 = 35Now, we put it in the simplified formula, and it should give the same result:
7 × 2 + 21 14 + 21 = 35
It was confirmed. We conclude, once again, that the formula is:
7m + 21_________
Learn more:
https://brainly.com/question/342515
_________
Hope this helps. Good studies! ☺
Related Questions
Noelle is drawing fraction bars to model the sum of One-fifth and Three-fourths. What is the smallest number of equally sized pieces each fraction bar can be broken into to find the sum? 4 5 9 20
Answers
Answer:
20
Step-by-step explanation:
I took the test
Answer:
D. 20
Step-by-step explanation:
Which inequality could be used to find the cost ,x , of the t-shirts of james did not spend more than $50
Answers
use the equation 18=9x-3y to convert it into a linear equation in linear form (y=mx+b)
Answers
Answer:
y = 3x - 6
Step-by-step explanation:
18 = 9x - 3y
3y + 18 = 9x
3y = 9x - 18
y = 3x - 6 < -- This is the answer
Hope this helps!
can you please help me
Answers
Answer:
I would love to but there's no question
Step-by-step explanation:
Write an inequality that compares -6 and 3
Answers
Answer:
3>-6
Step-by-step explanation:
Two hot air balloons are being deflated for transportation to a new site. The red balloon has
850 cubic yards of air, and its volume is shrinking at a rate of 53 cubic yards per second.
The green balloon has 720 cubic yards of air and its volume is shrinking at a rate of 39 cubic
yards per second. Determine how many seconds it will take for the two balloons to have the
same volume.
a
Answers
Answer:
look below
Step-by-step explanation:
A. Determine how many seconds it will take for the two balloons to have the
same volume.
B. 850-53y=720-39y
C. y
D. For the red balloon 850-53y where y is the yard, and the totally time is in seconds
E. For the green one 720 - 39y where y is the yard and the time is in seconds
F. 850 - 53y = 720 - 39y
HELP PLZ ANYONE??? I AM VERY STUCK ASAP!!
Answers
Answer:
The answer is A
Step-by-step explanation:
When you multiple the numerators across you get 39,283.2 not 39, 832. What this math problem is, is Dimensional Analysis. Its converting one unit of measurement to another
Another example:
Look at the attachment below.
A paragraph proof is considered ____________?
a truth table
an informal proof
a logic puzzle
a formal proof
Answers
Answer:
An informal proof
Step-by-step explanation:
I just did this question
(It could be wrong though considering that they can be either formal or informal, it depends on the situation!)
Please help me ASAP thank uu
Answers
Answer:
51°
Step-by-step explanation:
Remember, all 3 angles must add up to 180°
We can tell that this triangle is a right triangle, or a triangle that has a 90° angle. We also have another angle given, which is 39°. Currently we have two angles given.
Since all 3 angles have to add up to 180°,
90 + 39 + x = 180°
129 + x = 180°
180 - 129 = x
x = 51°
The missing angle is 51°
To see if your calculation is correct, you could add all 3 angles, and it should give you 180 as a sum.
90 + 39 + 51 = 180
Correct!
7(2a+1) -4 (8a+3) plz help
Answers
Answer:
.7(2a +1) - 4(8a +3)
14a + 7 - 32a + 3
14a - 32a +7+3
= -18a + 10
Step-by-step explanation:
hello
hope that will help you
a computer scans every 2.75 days and another scans every 3.5 days
how many days to scan on the same day?
Answers
Answer:
Alright, so we have to find the LCM of 2.75 and 3.5.
A good start would be to multiply them together to get 9.625, but we want a whole day!
This would be every 77 days :)
3/17equals X/7 what is x
Answers
Answer:
x = 1.23529
Step-by-step explanation:
Step 1: Write equation
3/17 = x/7
Step 2: Solve for x
Cross multiply: 21 = 17xDivide both sides by 17: 21/17 = xRewrite: x = 21/17Convert to decimal: x = 1.23529Solve the equation for x
wx = y
Answers
Answer:
x = y/w
Step-by-step explanation:
wx = y
Divide each side by w
wx/w = y/w
x = y/w
what is 2.9+3.9 estimated, 12.99-3.95 estimated, 8.1+3.7+7.9 estimated, and 3.8+4.1+3.3 estimated answer ASAP plz
Answers
Answer:
7, 17, 20, 11
Step-by-step explanation:
you just round each number to the nearest whole number and then add them
Fill in the blank to make the two fractions
Answers
Answer:
18
Step-by-step explanation:
3/4
24 ÷ 4 = 6
Multiply the top and bottom by 6
3/4 * 6/6 = 18/24
Answer:
[tex]18[/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \frac{ \times 6}{ \times 6} = \frac{18}{24} [/tex]
Which of the following fractions is a repeating decimal? *
5/8
10/12
2/4
9/24
Answers
Answer:
10 /12
Step-by-step explanation:
10 divided by 12 is 0.8333333333 and so on
Four times a number, minus 7, is equal to three times the number, plus 6
Answers
Help me solve this by elimintaion solve the sytem
2x - 4y =10
X + 5y = 40
Answers
Given: ∠AOC and ∠BOC are complementary. m∠AOC=m∠BOC+30°. Find: m∠AOC and m∠BOC
Statement Reason
1. m∠AOC+m∠______ = ______ 1. _____________
2. m∠______ + ______ +m∠BOC=90° 2. Substitution
3. m∠BOC = _________ 3. Algebra
4. m∠AOC = _________ 4. Algebra
Answers
Answer:
Statement Reason
1. m∠AOC+m∠COB= 90° 1. complementary angles
2. m∠30° + BOC+m∠BOC=90° 2. Substitution
3. m∠BOC = 30° 3. Algebra
4. m∠AOC = 60° 4. Algebra
I think I got it
You think you weigh 155 pounds, but you step on a scale and it reads 147pounds. What percent were you off?
Answers
Answer:
You were 6% off
Step-by-step explanation:
147/155 = 0.94, 1 - 0.94 = 0.06, move decimal over 2 to the right when talking about precentages.
Evaluate: 56 + 80.6
Answers
Answer:
136.6
Step-by-step explanation:
56 + 80.6
ok im going to break it down you don't have to do this
50 + 6 = 56
80 + 0.6 = 80.6
now im going to add
50 + 80 = 130
6 + 0.6 = 6.6
now im going to add it all together
130 + 6.6 = 136.6
Which is equivalent to 216^1/3
O 3
O 6
O 36
O 72
Answers
Answer:
72
I hope this helps!
The equivalent expression is 6.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
[tex]216^{1/3}[/tex]
6 x 6 x 6 = 216
This can be written as,
6³ = 216
Now,
[tex](6^3)^{1/3}[/tex]
= [tex]6^{3\times1/3}[/tex]
= 6
Thus,
The equivalent expression is 6.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
what is the the answer of rounding .875 of hundreds
Answers
Tim completely covered a square table using 75.3 in^2 of table cloth without any overlap. Which measurement is closest to the side length of the table?
Answers
Answer:
[tex]Length = 8.7\ in[/tex]
Step-by-step explanation:
Given
Shape: Square
[tex]Area = 75.3in^2[/tex]
Required
Determine the Length of the table
This is calculated using:
[tex]Area = Length^2[/tex]
Substitute 75.3 for Area
[tex]75.3 = Length^2[/tex]
Take square roots of both sides
[tex]\sqrt{75.3} = Length[/tex]
[tex]Length = \sqrt{75.3}[/tex]
[tex]Length = 8.67755725997[/tex]
The list of options is not given, so I'll just approximate to 1 decimal place
[tex]Length = 8.7\ in[/tex]
PLS HELP ME ASAP!!! 10 POINTS!!
a) Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? Show your work.
b) If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price.
c) The shoe store clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon?
Answers
Answer:
A) 37+42=79(1.07)=84.53
B) you would take off the discount and that equals 59.25 then you would apply taxes 63.40
C)9.48 and 7.11
Step-by-step explanation:
Answer:
a) $84.53
37+42=79
79(0.07)=5.53
79+5.53=84.53
b) $56.50
You have to multiply the cost of both shoes by 0.25 to get the amount of money that Isaac gets discounted. Then you subtract that amount from the cost of the shoes to get the new price. Then you multiply the new price by 0.07 to get how much he will be taxed. Finally, you add the tax to the total.
c) Before the coupon is applied: $10.08
After the coupon is applied: $9.48
84(0.12)=10.08
79(0.12)=9.48
Step-by-step explanation:
1. Triangle ABC is located at A0, 4) B(2,3)
and C[-1.-2). After being translated 4 units
left, what are the new coordinates of Point
в?
2.T:
5)
uni
of
Answers
the last part was unformatted and i cant tell what it is, but point b after translated is (-2,3)
i need help with this math
Answers
Answer:
Right angle
Step-by-step explanation: you take the 57% angle and ad that with
the 33% angle and you got a prefect 90% also known as a "Right angle"
Two hundred five thousandths in decimal form
Answers
Answer:
0.250
Step-by-step explanation:
It's easy, we learned this junk like 4 years ago
Thanks
-Brianna Edwards
VoTe AnD mArK bRaInLiEsT
The required decimal form of two hundred five thousandths is 0.205.
Given that,
To determine the Two hundred five thousandths in decimal form,
Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,
For example= 0.25 where the absolute value is zero and 25 is the proportion less than 1.
Here,
Two hundred five thousandths imply,
Dividing the number 205 by 1000
= 205 / 1000
= 0.205
Thus, the required decimal form of two hundred five thousandths is 0.205.
Learn more about decimal values here,
https://brainly.com/question/19802955
#SPJ2
Find the range of the relation {(–2, 3), (–1, 3), (–1, 5)}. Then determine whether the relation is a function.
Answers
Answer:
Range{ 3,5}
This is not a function
Step-by-step explanation:
The range is the output values
Range{ 3,5}
This is not a function since x = -1 goes to two different output values of 3,5
Michaela and Grace were trying to solve the equation: 4 x 2 − 100 = 0 4x 2 −100=04, x, squared, minus, 100, equals, 0 Michaela said, “I'll factor the left-hand side of the equation as ( 2 x + 10 ) ( 2 x − 10 ) (2x+10)(2x−10)left parenthesis, 2, x, plus, 10, right parenthesis, left parenthesis, 2, x, minus, 10, right parenthesis and solve using the zero product property.” Grace said, “I'll isolate the x 2 x 2 x, squared term by adding 100 100100 and dividing by 4 44 on both sides of the equation. Then I'll solve by taking the square root.” Whose solution strategy would work?
Answers
Answer:
Both.
Step-by-step explanation:
Took the stupid quiz
The solution of the given equation 4x² - 100 = 0 will be x = 5.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
4x² - 100 = 0
4x² = 100
Taking square root on both sides;
4x² = 100
√4x² = √100
2x = 10
So,
x = 5
Learn more about quadratic equations;
brainly.com/question/13197897
#SPJ2
