Answer: The integers are -58, -57, -56.
Step-by-step explanation:
The difference between two consecutive integers is 1.
If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.
Integers: x, x + 1, x + 2
The sum of the first and third is: x + x + 2
3 times the sum of the first and third is: 3(x + x + 2)
That product equals -342.
3(x + x + 2) = -342
3(2x + 2) = -342
Divide both sides by 3.
2x + 2 = -114
Subtract 2 from both sides.
2x = -116
Divide both sides by 2.
x = -58
x + 1 = -57
x + 2 = -56
The integers are -58, -57, -56.
you move left 2 units and right 9 units. you end at (4,5). where did you start?
Answer:
You started at ( -3,5)
Step-by-step explanation:
You end at (4,5)
You got there by moving right 9 units so move left 9 units
Moving left is subtraction in the x direction
(4-9,5)
( -5,5)
Then move left 2 units so move right 2 units which is adding 2 in the x direction
( -5+2, 5)
( -3,5)
You started at ( -3,5)
Jasmine bought a game system that cost $299 before tax. The sales tax was 0.07 times the price. What was the total cost of the game system including the sales tax?
Answer:
$319.93
Step-by-step explanation:
We can find the total cost of the game system by multiplying the price before tax by 1.07.
299(1.07) = 319.93
= $319.93
Please someone help me!!!!
Answer:
4 months
Step-by-step explanation:
The 24% APR corresponds to a monthly rate of 24%/12 = 2%. This finance charge on a balance of $300 is ...
0.02 × $300 = $6.00
To pay off $300 will take more than 3 payments of $100 because of the finance charge. Because the finance charge is not very large, the last month's payment will not need to be $100, but will be somewhat less.
It will take 4 months to pay off the balance.
_____
Additional comment
The actual finance charge will depend on your credit agreement. It may amount to $4 the second month, and $2.08 the third month, if it is charged on the outstanding balance. That is, the 4th month's payment may only be $6.08. If there is a finance charge on the initial $300 balance, that may cause the last payment to be a little more than $12.
Brian and Zach went to Village Grille for lunch. Brian‟s lunch cost $4 less than 3 times Zach‟s. The total cost for lunch was $25. How much did each boy spend on lunch? (Why did Brian eat so much?)
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
The Greenbaum family agreed to pay for 3 months of an online TV service in exchange for a $5 credit on the bill each month. If the Greenbaums spend a total of $11.85 on the service over the 3 months, what is the normal price of one month of online TV service?
$5.00
$6.85
$8.95
$30.55
Is the function ƒ(θ) = 2cos( θ) an odd or even function?
Answer:
Even function.
Step-by-step explanation:
An odd function has symmetry with respect to the origin.
[tex]\text{A function is odd }\Leftrightarrow f(-x)=-f(x)[/tex]
The sine function is an odd function:
[tex]\sin(-\theta)=\sin(\theta)[/tex]
An even function has symmetry with respect to the y-axis.
[tex]\text{A function is even}\Leftrightarrow f(-x)=f(x)[/tex]
The cosine function is an even function:
[tex]\cos(-\theta)=\cos(\theta)[/tex]
Is the function [tex]f(\theta)=2\cos(\theta)[/tex] an odd or even function?
It is an even function.
What happens in the function is a vertical stretch by a factor of 2. The y-intercept is equal to 2.
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was
released. The average rate of change in Td) for the interval d = 4 and d = 10 is 0. Which statement must be true?
O The same number of tickets was sold on the fourth day and tenth day.
O No tickets were sold on the fourth day and tenth day.
O Fewer tickets were sold on the fourth day than on the tenth day.
O More tickets were sold on the fourth day than on the tenth day.
Answer: The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.
If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.
Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."
The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.
Given,
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The Average rate of change in T(d) for the interval d = 4 and d = 10 is 0.
We have to find which statement is true.
Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.
Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.
Thus The correct option is A.
For more details follow the link:
https://brainly.com/question/8011401
Here can somebody help me with this problem
Answer:
H, 40%
Step-by-step explanation:
We can start out simple by finding out the number of cars in each category.
30 remote-controlled cars
90 non remote-controlled cars.
20% of the remote controlled cars are yellow, meaning that there are 6 yellow remote controlled cars.
Since 50% of the total cars are yellow, there are 60 yellow cars. Subtracting this from the yellow remote controlled cars, there are 54 yellow non remote contolled cars.
What this means is that 54/90 of the non-remote cars are yellow, and 36/90 of the non-remote cars are yellow. 36/90 is just 2/5, which means that our answer is H, 40%.
can somewon help me plz i want help
Answer:
5 * 10^10.
Step-by-step explanation:
(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.
Hope this helps!
Answer:
5*10^10
Step-by-step explanation:
9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong
Solve the equation using the multiplication property of equality and the reciprocal of
1
4
.
1
4
( r −
5
2
) =
1
8
Find the area of this parallelogram in square units. Each box on the grid represents 1 square unit.
Answer:
the answer is 16
Step-by-step explanation:
i’ll mark you brainliest, please show work!!
Answer:
width = 10
length = 2 (10) + 7 = 27
Step 1:
If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.
Step 2:
We can solve this by using this equation:
2w + 7 + w = 37
Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.
2w + w = 30
Add the w's together:
3w = 30
And then divide both sides by 3 to get:
w = 10
Step 3:
Now, we can plug in w into our equation to solve for the width and length.
width = 10
length = 2 (10) + 7 = 27
_____2w+7_____
| | w
--------------------------
Mathematics, probability and chance Can somebody help me, I always thank and vote
Answer:
A. 0
Step-by-step explanation:
In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices. Since four is the smallest number, the other two must have four left as well. That means Donavan drank 1 spoiled milk and 2 flat sodas. Therefore, he drank 0 purified water.
The box plots display the same data set for the number of touchdowns a quarterback threw in 10 seasons of play. Including outlier: A number line goes from 5 to 30. The whiskers range from 5 to 29, and the box ranges from 18 to 26. A line divides the box at 21.5. Excluding outlier: A number line goes from 5 to 30. The whiskers range from 17 to 29, and the box ranges from 19 to 27. A line divides the box at 21. There is an asterisk at 5. Complete the statements describing the effect of the outlier on the measures of variability. The outlier of the data set is . The range of the data set including the outlier is more than the one excluding the outlier. The interquartile range of the data set including the outlier is more than the one excluding the outlier. The outlier had the most effect on the .
Answer:
5
12
0
range
Step-by-step explanation:
i just did it, these are the right answers.
Answer:
5,12,0, and the last answer is range
Step-by-step explanation:
Did it on Edge2021. Hope this helps!
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answer:
5.36
Step-by-step explanation:
tan 15 = x / 20
x = 40 - 34.64
x = 5.36
If m(2x−3)+n(x+1)=5x for all real numbers x, where m and n are constants, what is the value of m?
Answer:
m = 1
Step-by-step explanation:
From the question given,
m(2x − 3) + n(x + 1) = 5x for all real numbers x.
Since x is a real number, we can obtain the value of m as follow:
Let x = 1
m(2x − 3) + n(x + 1) = 5x
m(2×1 − 3) + n(1 + 1) = 5×1
m(2 – 3) + n(2) = 5
m(– 1) + n(2) = 5
– m + 2n = 5 ...... (1)
Let x = 2
m(2x − 3) + n(x + 1) = 5x
m(2×2 − 3) + n(2 + 1) = 5×2
m(4 – 3) + n(3) = 10
m(1) + n(3) = 10
m + 3n = 10 ...... (2)
– m + 2n = 5 ...... (1)
m + 3n = 10 ...... (2)
Solve by elimination method
Add equation 1 and 2
– m + 2n = 5
+ (m + 3n = 10)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
5n = 15
Divide both side by 5
n = 15/5
n = 3
Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.
m + 3n = 10
m + 3(3) = 10
m + 9 = 10
Collect like terms
m = 10 – 9
m = 1
Therefore, the value of m is 1
help me i need help i want help
Answer:
two feet cubed
Step-by-step explanation:
When purchased, a beach ball is deflated and packaged flat. The package states that when inflated to its maximum capacity, the radius of the inflated ball is 7.6 inches. To the nearest hundredth of a cubic inch, how much air will occupy the space contained by the inflated beach ball? Use 3.14 for [tex]\pi[/tex]. In your final answer, include all of your calculations.
Step-by-step explanation:
V=(4/3) * πr^3
V=(4/3) * π * 7.6 ^3
V=(4/3) * π * 438.976
V= π * 585.301333
V = 1837.85 inch^3
3.14 for pi btw
Evaluate 3a2 + 4b2 for a =
2 and b = 3.
O
168
48
O
36
Answer:
48
Step-by-step explanation:
a=2
b=3
3a^2+4b^2
3(2)^2+4(3)^2
3(2)(2)+4(3)(3)
3(4)+4(9)
12+36
48
Hope this helps ;) ❤❤❤
three babies A,B and C cry out at interval time. Baby A cries out at every 20 mins, while B cries out at every 30 mins and C cries out at every 40 mins. if they are observed at the same time, after what time will the three of them cry together?
A. after 20 minutes
B. after 30 minutes
C. after 40 minutes
D. after 120 minutes
Help me ASAP for this picture
3^(2)+4(2)
4-9(5+1)+3
5^(2)+3^(2)-8
(3+2)^(2)+4(2+3)
8^(2)-9(2)+3
2(5)^(2)
4^(2)+6(2+8)
4+5(3)+2(7)-6
8+3(6)-3^(2)
2+6-5+4(6)
What is the correct evaluation of x2 - y2 - z2, when x is equal to -2, y is equal to 3 and z is equal to 4?
Answer:
-18
Step-by-step explanation:
x2 - y2 - z2 if x=-2, y=3, and z=4
x2 - y2 - z2
(-2) 2 - (3)2 - (4)2
(-4) - (6) - (8)
-10 -8
-18
Answer:
18
Step-by-step explanation:
Explain in detail the steps for solving multi-step equations.
i just need the steps no problem is included . Thank you sm !
Answer:
1) Get rid of grouping symbols like square brackets and parentheses
2) Simplify both sides of the equation. Combine like terms if possible.
3) Choose where you want to keep the variable because that will help you decide where to place the constant.
4) Eliminate numbers or variables by using opposite operations. Remember that addition and subtraction are opposites and so are multiplication and division.
Step-by-step explanation:
HELP PLS HELP HELLLOPPPP
Look at the graph in the image. 1. What are the coordinates of point P? A. (4,3) B. (4,30) C. (4,90) D. (40,90) 2. What is the independent variable? A. Bike A B. Bike B C. Time D. Distance Please include work!
Answer:
1.C (4,90) 2.C.Time
Step-by-step explanation:
the answer to number 1 is C because the x coordinate is 4 and the y coordinate is 90. The answer to 2 is c because the independent variable represents x, which is time in this case because it is labeled on the coordinate plane.
What is the slope of the line through (2,-2) and (9, 3)
Answer:it is 5/7
Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7
Answer:
slope = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)
m = [tex]\frac{3+2}{9-2}[/tex] = [tex]\frac{5}{7}[/tex]
write 0.895 with 95 repeating on and on as a simplified fraction
PLZ HELP WILL GIVE BRANLIEST
Answer:
887/990
Step-by-step explanation:
0.8959595....
895.95 - 8.95 = 887
1000 - 10 = 990
Answer:
[tex]\huge\boxed{x = \frac{887}{990}}[/tex]
Step-by-step explanation:
The number given is 0.895..........
Let x = 0.895........
Then
10x = 8.95....... --------(1)
1000x = 985.95........ --------(2)
Subtracting (1) from (2)
1000x - 10x = 985.95..... - 8.95......
990 x = 887
Dividing both sides by 990
[tex]x = \frac{887}{990}[/tex] (In simplest form)
Which of the following statements is true for a function with equation f(x) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
Answer:
The graph has y-intercept (0,5) and increases with a constant ratio of 3
Step-by-step explanation:
The value of the function when x=0 is 5·3^0 = 5, so the y-intercept is (0, 5).
Each increase of 1 in x causes the function value to increase by a factor of 3, so the 'constant ratio' is 3. (That is the base of the exponential term.)
Matt measures 3 pieces of string. The first piece is 544 cm. The second piece is 144 cm, and the third piece is 112 cm. How many METERS of the string does he have altogether?
Answer:
8.10
Step-by-step explanation:
1metre =100 centmetres
1st piece is 5.44m
2nd piece is 1.44m
3rd piece is 1.12m
Total length= 8.10m