Three consecutive integers have a sum of 114. what are the three integers
Answers
x+(x+1)+(x+2)=114
3x+3=114
3x=111
x=37
the three consecutive integers are: 37,38,39
Our three consecutive integers are 37, 38, and 39.
Work is provided in the image attached.
Related Questions
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0
Answers
A. 0, 7 is your answer
hope this helps
In 1995, 57.5% of students at gardiner university graduated in 4 or fewer years of study. in 2009, that number had fallen to 52.8%. what was the rate of change for percent of students graduating within 4 years from 1995 to 2009
Answers
Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born
Answers
find the average of the three friends
5982/3=1994
add and subtract one to find the average
1994+1=1995
1994-1=1993
add all the years together to check
1993+1994+1995=5983
Solve, kara's store experienced fixed costs of $200 and variable costs of $4 a shirt. write an equation that can be used to determine the total expenses encountered by kara's
Answers
Since it's a fixed cost, you wouldn't touch the 200 and just add it to the 4x to get the total.
f(x)=4x+200
Omar makes 8 dollars for each hour of work. write an equation to represent his total pay p after working h hours.
Answers
Final answer:
The equation for Omar's total pay after working h hours at $8 per hour is p = 8h. This linear equation indicates a direct proportion between hours worked and total pay, reflecting a total of $64 for an 8-hour day.
Explanation:
The equation to represent Omar's total pay, p, after working h hours, at the rate of $8 per hour, is given by p = 8h. This linear equation shows that the total pay is directly proportional to the number of hours worked. Therefore, if Omar works for a standard 8-hour day, he would earn 8 hours times $8 per hour, which equals $64 for that day.
What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ?
Answers
1. Let the three points be as follows:
A(-2,1), B(2,1), C(3,4)
2. Use the distance formula for points to find the lengths AB, BC, and AC. You will need to use the formula 3 times.
3. Use Heron's formula
A = sqrt{s(s-AB)(s-BC)(A-AC)}
Note s = (AB + BC + AC)/2
GET STARTED NOW.
you can pretty much count the lengths off the grid.
recall that A = 1/2 bh.
Angle bisectors of the angles ∠A and ∠B of a triangle ∆ABC intersect each other at point M. Find m∠AMB, if m∠A = 58°, m∠B = 96°.
Answers
measure angle B is 96 degrees, this means that the angle bisector divides the angle into two equal angles each of measure 96/2 = 48 degrees
In triangle AMB, we know that the sum of all measure of a triangle is 180 degrees and we have measure angle MAB = 29 degrees and measure angle MBA = 48 degrees
Therefore,
measure angle AMB = 180 - (29+48) = 103 degrees
Answer:
103 degrees
Step-by-step explanation:
Bisectors means you make a line in the middle splitting the angle in half. So you divide A by 2 to get 29 and B to get 48. Then you add them to get 77. And now you only need point m's angle. 180-77 is 103 so the answer they are looking for is 103.
f(x)=3^x and x=-5 help
A) 1/729
B) -15
C) 1/243
D) -125
Answers
A worker currently receives a yearly salary of $20,000.
a)Find the dollar values of a 3%, 4%, and 6% raise for this worker
Answers
do the same for 4% and 6%
And round to the nearest dollar
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Because we are finding DOLLAR amounts, and not a total, we are simply going to do this:
Salary * (percent /100) = $Value
20,000 * 3% [or 0.03] = $600
20,000 * 4% [or 0.04] = $800
20,000 * 6% [or 0.06] = $1,200
Now to find his new salary if he were to get a raise, we will add the individual amounts to 20,000 is he were to only get a SINGLE percent raise increase...
If his salary (currently) is $20,000 and gets a 3% raise, his new salary is:
$20,600
If his salary (currently) is $20,000 and gets a 4% raise, his new salary is:
$20,800
If his salary (currently) is $20,000 and gets a 6% raise, his new salary is:
$21,200
If he were to get all THREE raises at the same time (per say) [or one after the other going off of a $20,000 salary], his new salary is:
$22,600
Find the equation perpendicular to the line y=−3x+5 that passes through point (2, 6).
Answers
Hey there! :)
Perpendicular to y = -3x + 5 ; passes through (2, 6).
Our slope is -3. We know this because it is in the "m" position from slope-intercept form. However, since our equation we're looking for is perpendicular to our given one, we must find the negative reciprocal of -3.
A negative reciprocal is simply a number that is flipped and either given a negative or gets a negative removed.
So the negative reciprocal of -3 is 1/3. This means that our new slope is 1/3.
Now, using point-slope form ( y-y₁=m(x-x₁) ), our new slope (1/3) & (2, 6) , let's find our new equation!
y-y₁=m(x-x₁) y - (6) = 1/3(x - 2)
Simplify.
y - 6 = 1/3x - 2/3
~Hope I helped!~
Sarah has a $2000 bond with a 5% coupon. How much interest will Sarah received for this bond every 6 months?
Answers
n= interest in 6 months
$2000 x 5% = $100 interest in month
$100 x 6 months = $600 interest in 6 months
If p is a prime number, for how many values of p is p^2 +21p - 1 also prime?
Answers
./erbgjkwehjbf.aeh bnjlnbwef erl,jh
Solve the inequality (show your work):
-5/2(3x + 4) < 6 - 3x
Answers
-15/2x-10<6-3x Multiply both sides by 2
-15x-20<12-6x Move terms
-15x+6x<12+20 Combine like terms
-9x<32 Divide both sides by -9
x>-32/9 Answer
The value of the x is greater than negative of 32 over 9.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given as,
–5/2(3x + 4) < 6 – 3x
Simplifying the equation,
–5(3x + 4) < 2(6 – 3x)
5(3x + 4) > 2(3x – 6)
15x + 20 > 6x – 12
9x > –12 – 20
x > –32 / 9
More about the inequality link is given below.
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you can find the ______ parts of two congruent triangles by aligning them perfectly on top of each other.
A. corresponding
B. similar
C. complementary
D. supplementary
Answers
You can find the corresponding parts of two congruent triangles by aligning them perfectly on top of each other.
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔDEF
Now , when the triangles are aligned perfectly on top of each other ,
They are corresponding and the and the measures of the angles are same
And , the measure of the legs of the triangles will also be congruent
Hence , the corresponding parts are same
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Which method of the math object rounds a value to the next lowest integer??
Answers
a piggy bank contains $2.40 in nickels and dimes. if there are 33 coins in all, how many nickels are there
Answers
Which is NOT equivalent to 6/8? A.3/4 B.18/24 C.9/12 D.18/16
Answers
A probability experiment consists of rolling a fair 12-sided die. Find the probability of the event below. rolling a 5
Answers
using multiplication property of equality solve x/2=6
Answers
[tex] \frac{x}{2} [/tex] (2) = 6(2)
x=12
Answer:
x=12
Step-by-step explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
Multiplication property of equality is multiply both sides of an equation by the same number does not change the equation.
[tex]\frac{x}{2}=6[/tex]
multiply two both sides
[tex]\frac{2x}{2}=6*2[/tex]
simplify
[tex]6*2=12[/tex]
[tex]12/2=6[/tex]
[tex]12/6=2[/tex]
[tex]2*6=12[/tex]
[tex]x=12[/tex]
Hope this helps!
Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what was the total amount she paid?
Answers
176 * 0.06= 10.56
$10.56 represents the number that needs to be added to get the total
176+10.56= 186.56
So Christ spent $186.56 on back to school clothes
Answer:
$176·1.06 = $186.56
Therefore, the total amount that Christa paid was $186.56.
For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95
Answers
Also the data points increase to the right which means that r is positive.
Therefore, the estimate for r in the data shown in the scatter plot is 0.55
An angle is 5 times the measure of its complement. find the measure of the larger angle
Answers
Answer:
75°
Step-by-step explanation:
The angle is our unknown, so we will call it x. If x is the angle, then its complement is 90 - x (complementary angles add up to 90). The word "is" means "equals", and "5 times" is multiplying the complementary by 5:
x = 5(90 - x) so
x = 450 - 5x
Combine like terms to get
6x = 450 so
x = 75
The other angle, the complement to that angle, is 90 - 75 = 15
The larger angle is 75°
Writing equation in slope intercept form
Answers
Which number should replace the question mark in the number grid below?
Answers
Each row across (left to right) adds up to 43
The sales tax rate for a local county is 8.4%. If an item costs $391 (before tax), how much sales tax will be due?
Answers
The total would be 31 dollars and 80 cents.
1 under typical conditions, 1 feet of snow will melt to 2 inches of water. 2 1 to how many inches of water will 2 feet of snow melt?
Answers
There are 11 books on a shelf. 5 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio of used books to all books?
Answers
Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.
b)
The ratio is 6:11. You get the 6 from the above problem.
Hope this helps!
a) The ratio of new books to used books 5:6.
b) The ratio of used books to all books is 6:11.
What is the ratio?The ratio is defined as the representation of one number with respect to the other number or one number is how many times the other number.
The ratio will be calculated as follows:-
a) Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.
b) We know that the number of used books is 6. The ratio is 6:11.
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PLEASE ANSWER
1. Simplify the following expression:
a + 2c − 5b − c + a − b
2a − 6b + 2c
2a − 6b + c
a − 6b + c
a − 5b + 2c
2. Evaluate the following expression using the values given:
Find 3x^2 − y^3 − y^3 − z if x = 3, y = −2, and z = −5.
Numerical Answers Expected!
Answer for Blank 1:
Answers
#2 48 ( i think this is right )
The expression is simplified as 2a − 6b + c. Then the correct option is B. The value of the expression 3x² - y³ - y³ - z will be 48.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ a + 2c − 5b − c + a − b
Simplify the expression, then we have
⇒ 2a − 6b + c
Then the correct option is B.
The expression is given below.
⇒ 3x² - y³ - y³ - z
If x = 3, y = −2, and z = −5. Then the value of the expression will be
⇒ 3(3)² - (-2)³ - (-2)³ - (-5)
⇒ 3 x 9 + 8 + 8 + 5
⇒ 27 + 21
⇒ 48
The value of the expression 3x² - y³ - y³ - z will be 48.
More about the value of expression link is given below.
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Suppose a college student pays $700 for tuition fees. However, she also has to pay $400 for her textbooks (ouch!). What percent of her total education costs does she pay for her books? Write your answer to the nearest tenth of a percent, but in decimal form.
Answers
400/1100=0.36363636...
The books cost about 36 percent of her education costs
The student spends approximately 40% of her total education costs on her books, represented as 0.4 in decimal form.
Explanation:The student's total education costs are the sum of the tuition fees ($700) and the cost of her books ($400). This comes to a total of $700 + $400 = $1100. The percent of the total education cost that is spent on books is then given by the cost of the books divided by the total cost, or $400 / $1100. When expressed as a decimal, this works out to be approximately 0.36 or 36%, but since we want to the nearest tenth of a percent in decimal form, it becomes 0.4 or 40% to the nearest tenth. Therefore, the student spends 40% of her total education costs on her books.
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There is no answer choices. I really need help with this! prime factorize (expand) the expression 12a^3bd^5
Answers
is all I can see, I mean, you can't kill a dead horse, you can hit it, it won't make it deader, just flatter.