x = the first integer.
x + 2 = the second integer.
x + 4 = the third integer.
x + x + 2 + x + 4 = -45
Combine like terms.
3x + 6 = -45
Subtract 6 from both sides.
3x = -51
Divide both sides by 3
x = -17
x + 2 = -17 + 2 = -15
x + 4 = -17 + 4 = -13
The largest integer is -13
Professor Burger orders flowers to be delivered to his mother. The flowers cost $59.95, not including tax. A bouquet of flowers is shown. Its price tag reads fifty-nine dollars and ninety-five cents. If there is a 6% sales tax, what is the total cost of the flowers to the nearest cent? Enter the correct answer in the box.
Answer:$60.30
Step-by-step explanation:
This scatterplot and regression line below show the relationship between the average rent for a 1-bedroom apartment in New York and the number of years after the year 2000. The fitted line has a y-intercept of 800. What is the best interpretation of this y-intercept?
Answer: That the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
Step-by-step explanation:
In this case, x represents the number of years after the year 2000.
Then we can think that x = 0, represents the year 2000 itself.
Now, remember that the y-intercept is the value of y when we have x = 0.
Then the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.
The information that we can conclude with this is that the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
What is the slope of the following equation?
Answer: 2-
Step-by-step explanation:
4c = d for c
Solve for indicated variable.
Answer:
c=1/4d
Step-by-step explanation:
Answer:
c = d/4
Step-by-step explanation:
solve this literal equation using inverse operations:
4c = d
/4 /4
c = d/4
g(t) = -4t + 2; Find g(6)
Answer:
g(6)=-22
Step-by-step explanation:
g(6)=-4(6)+2
g(6)=-24+2
g(6)=-22
According to a Wired magazine article, of e-mails that are received are tracked using software that can tell the e-mail sender when, where, and on what type of device the e-mail was opened (Wired magazine website). Suppose we randomly select received e-mails.
a.The expected number of emails is 12
b. The variance and the standard deviation is 7.200 and 2.683
Calculation of expected number of emails, variance and standard deviation:
Given that
P = 0.40 and n = 30
a)
The expected value of received e-mails is
= n × p
= 30 × 0.4
= 12
b)
The variance of emails received is
= n × p × (1 - p)
= 30 × 0.4 × 0.6
= 7.200
Now
The standard deviation of emails received is
= sqrt(variance)
= 2.683
We simply applied the above formula
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INEQUALITY QUESTION PLEASE HELP
Answer:
C
Step-by-step explanation:
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation:
In her last two years in college, Marlene received $42,000 in loans. The first year, she received a loan that was $6,000 less than three times the amount of the second year's loan. Call the amount that Marlene received her first year f and the amount she received in her second year s.
Answer:
First year = 30000
Second year = 12000
Step-by-step explanation:
Given
[tex]Loan = \$42000[/tex]
Represent first year with f and second year with s.
So, we have:
[tex]s + f = 42000[/tex]
and
[tex]f = 3s - 6000[/tex]
Required
Solve for f and S
Substitute 3s - 6000 for f in the first equation.
[tex]s + f = 42000[/tex]
[tex]s + 3s - 6000 = 42000[/tex]
[tex]4s - 6000 = 42000[/tex]
Collect Like Terms
[tex]4s = 42000 + 6000[/tex]
[tex]4s = 48000[/tex]
Solve for s
[tex]s = 48000/4[/tex]
[tex]s = 12000[/tex]
Substitute 12000 for s in [tex]f = 3s - 6000[/tex]
[tex]f = 3 * 12000 - 6000[/tex]
[tex]f = 36000 - 6000[/tex]
[tex]f = 30000[/tex]
The triangles shown below must be congruent . True or false ?
Answer:
False
Step-by-step explanation:
The angles are the same, but we know nothing about the sides
For triangles to be congruent, the sides have to be the same length
Since we don't have information about the sides, we do not know if they are congruent.
Answer:
false
Step-by-step explanation:
brainliest plz
solve the equation 3|3 - 5r|- 3 = 18
Answer:
r = 2
Step-by-step explanation:
3|3 - 5 * 2|- 3 = 18
3|3 - 10| - 3 = 18
3 * 7 - 3 = 18
21 - 3 = 18
18 = 18
(Since there are absolute value signs, the answer to |3 - 5r| will be positive)
Answer:
r=0.8
Step-by-step explanation:
3|3-5r|-3=18
9-15r -3=18
6-15r=18
15r=12
r=0.8
Which lines are parallel is m∠1 + m∠2 = 180? Justify your answer.
Step-by-step explanation:
i think the correct answer is j // k by the converse of the same side interior angles theorem
plz i need help
-16 = - 8v
Answer:
v=-2
Step-by-step explanation:
if v = -2, 8 x -2= -16
42 - 4 < 8 AND 9x + 5 > 23 Solve for x
Answer:
x>2
Step-by-step explanation:
9x+5>23
9x>23-5
when the five grosses the inequality sign it changes to a negative since it was initially a positive
9x>18
[tex] \frac{9x}{9} > \frac{18}{9} [/tex]
x>2
Someone help please. Its algebra 1.
Select the equation of a line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3.
A. y= -2x +2
B. y= -2x -2
C. y= 1/2x -2
D. y= 1/2x +2
Answer:
B
Step-by-step explanation:
the line is perpendicular to y=1/2x-3
so its gradient, m, would be -2 (m¹m²= -1)
sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form
y-y¹ = m(x-x¹)
The equation of the line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Point (-2,2)
Then the equation of a line perpendicular to the graph of y= 1/2x-3.
its gradient, m, would be; -2 (m¹m²= -1)
Now Write the equation as;
y-y₁ = m(x-x₁)
y - 2= -2(x + 2)
y = -2x - 2
Hence, the equation of the line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2
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Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make a
down payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in good
condition. She will finance the rest of the cost by making monthly payments over five years. She can finance the cost
at a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee,
and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below,
approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, and
consider the trade-in to be a reduction in the amount paid.)
OPEN TOP TO SEE ANSWER!!!!
Answer:
B). $38,821
Step-by-step explanation:
By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is
$38,821
on e2020
The total amount that Valerie will pay for her new car is $35,899.87.
Online Finance CalculatorWe can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:
Data and Calculations:Auto Price = $32,495
Loan Term = 60 months (12 x 5)
Interest Rate = 8.64%
Down Payment = $1,877
Trade-in Value = $28,433 ($32,495 x 87.5%)
Sales Tax = 8.23%
Title, Registration and Other Fees = $2,557 ($2,243 + $314)
Calculate
Monthly Pay: = $44.98
Total Loan Amount = $2,185.00
Sale Tax = $334.30
Upfront Payment = $4,768.30
Total of 60 Loan Payments = $2,698.57
Total Loan Interest = $513.57
Total Cost (price, interest, tax, fees) = $35,899.87
Thus, the total amount that Valerie will pay for her new car is $35,899.87.
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Simplify. Express your answer as a single fraction in simplest form.
9v/4v- (w - 2)
If 15 is subtracted from three times a certain number,
the result is 27. Find the number
Answer:
x=14
Step-by-step explanation:
3x-15=27 (add 15 to both sides)
3x=42 (divide both sides by three)
x=14
The required number is -4.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now it is given that, 15 is subtracted from three times a certain number,
the result is 27.
Now let x be the number.
Three times the number = 3x
Therefore, 15 is subtracted from three times a certain number = 15 - 3x
Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,
15 - 3x = 27
Subtracting 15 both the side we get,
15 - 3x - 15 = 27 - 15
⇒ -3x = 12
or, x = -12/3
⇒ x = -4
which is the required number.
Thus, the required number is -4.
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which two ratios quantities that are proportional
A. 9/5 and 19/10
B. 25/25 and 20/24
C. 4/6 and 10/16
D. 15/10 and 21/14
Answer:
A
Step-by-step explanation:
9/5 and 19/10 so yeah hope it helps
Answer:
C. 15/10 and 21/14
Explanation:
A P E X
What is f(5) for the function f(x) = 6x + 1?
Answer:
31
Step-by-step explanation:
plug in 5 for x
6(5)+1
30+1
31
A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given funciton,
f(x) = 6x + 1
At x = 5
f(5) = 6(5) + 1
f(5) = 30 + 1 = 31
Hence "A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31".
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What was the error in this equation?
Answer:
The error is the solution.
The solution is all real numbers, or infinite amount of solutions.
Step-by-step explanation:
Step 1: Write equation
-4(2n - 3) = 12 - 8n
Step 2: Solve for n
Distribute -4: -8n + 12 = 12 - 8nSubtract 12 on both sides: -8n = -8nAdd 8n to both sides: 0 = 0Here we see that n can equal any number. If you plug in any number n, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.
n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.
Website A offers tickets to a local charity event for $7.50 each plus a $14.25 handling fee, while Website B offers the tickets for $8.50 plus a $3.25 handling fee. Which equation can be used to determine how many tickets need to be purchased in order for the cost to be the same?
Answer:
14.25+7.50x=3.25+8.50x
Step-by-step explanation:
From the information given, the equation that can be used to determine how many tickets need to be purchased in order for the cost to be the same would indicate that the price of purchasing tickets on website A would be equal to the price of purchasing tickets on website B, which is:
14.25+7.50x=3.25+8.50x, where x is the number of tickets purchased
14.25-3.25=8.50x-7.50x
11=x
x=11
Which of the following is an arithmetic sequence? A. −2, −5, −8, −11, −14, −17, … B. 0, 5, 0, 10, 0, 15, … C. 2, 4, 8, 16, 32, … D. 5, 11, 17, 23, 29, 36, …
Choice D. Because in an arithmetic sequence, you add some value that we call common difference to the preceding term in order to get the proceeding term. Choice D looks like it because it starts at 5 and we add 6 to it it'll be 11 and another 6 it'll be 17 and so on.
Answer:
B
Step-by-step explanation: the common difference is 2.7
A group of students must collect at least $ 150 to organize a science fair. They have alre that the students should still collect to organize the Science fair? O -210-180-150-120-9060-30 30 60 90 120 150 180 210 -210-180 -150-120-90 90-60-30 0 30 60 90 120 150 180 210 O -210-180-150-120 90 -60-30 0 30 60 90 120 150 180 210 O H -210-180-150-120 90 60 30 0 30 60 90 120 150 180 210
THE ANSWERS (B.) i took the test surprisingly got it right
Answer:
it is b
Step-by-step explanation:
hope it helps
Find the measure of angle BEA
Answer:
130°
Step-by-step explanation:
Line AD = 180°
Angle BED = 50°
180°-50°=130°
Answer:
Step-by-step explanation:
approx. 140 degrees
Can someone please help me
7x - 4y = -19
14x - 7y = -28
3/5 ÷ 1 1/4. plz help
Answer:
12/25 (0.48 in decimal form)
Step-by-step explanation:
3/5 divided by 1 1/4
Make 1 1/4 an improper fraction:
1 1/4 = 5/4
Now we flip 5/4 (the second fraction) when we divide and then multiply it by the first fraction.
Our equation now:
3/5 x 4/5
After multiplying across, you get 12/25 (0.48 in decimal form).
Hope this helps!
HELP ME PLS PLS PLS ILL BE BRAINLISTING
7.
a. This is an equation because it has to parts, separated by an equal sign
b. 5 because 5 is the number b is multiplied by in the first part
c. idk
d. a, b, and c are the variables
e. idk
sorry haven't done this in a while
An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches. Find the width of the photograph.
Answer:
just subtract i think and you will get
Step-by-step explanation:
13.6 - 12 = 1.6
The width of the photograph will be 6.4 inches.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as,
H² = P² + B²
An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches.
Then the width of the photograph is calculated as,
13.6² = 12² + w²
184.96 = 144 + w²
w² = 40.96
w = 6.4 inches
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