Answer:
-77, -78, -79
Step-by-step explanation:
let one of the integers be x
since the integers are consecutive, the other 2 integers must be
(x+1) and (x+2)
given that sum of the integers is -234,
x + (x+1) + (x+2) = -234
x + x + 1 + x + 2 = -234
3x + 3 = -234 (subtract 3 from both sides)
3x = -234-3
3x = -237 (divide both sides by 3)
x = -237 / 3
x = -79 (answer)
hence the other two numbers are
(x + 1) = -79 + 1 = -78 (answer)
and
(x+2) = -79 + 2 = -77 (answer)
Answer:
Step-by-step explanation:
let the first integer is 'x', and by adding 1 in it we get the second integer that is 'x+1', and for third integer we need to add 1 in the previous integer i.e. is 'x+1' we get 'x+2'. Now all three integers we have are
x,x+1 and x+2.
since sum or add all three integer we get -234. so
x+x+1+x+2=-234
x+x+x=3x, and 1+2=3
3x+3=-234
3x=-234-3
3x=-237
x=-237/3
now the first integer is -237/3 or -79,
second integer is -78 and third integer is -77.
for verification add all three to get -234.
-79-78-77=-234. hence proved.
Line l and line k are perpendicular. Line l has a slope of 3. Line k contains the points (5, 8) and (2,
y). What is the value of y?
Answer:
y = 9
Step-by-step explanation:
Calculate the slope m of line k using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)
m = [tex]\frac{y-8}{2-5}[/tex] = [tex]\frac{y-8}{-3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
The slope of line l is m = 3, thus slope of line k is
m = - [tex]\frac{1}{3}[/tex]
Equating the 2 slopes for line k
[tex]\frac{y-8}{-3}[/tex] = - [tex]\frac{1}{3}[/tex] ( multiply both sides by - 3 )
y - 8 = 1 ( add 8 to both sides )
y = 9
To find the value of y, we can use the fact that the slopes of Perpendicular lines are negative reciprocals of each other. Using the given information and equations, we can solve for y.
To determine the value of y, we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other. Since line l has a slope of 3, the slope of line k would be -1/3. We can use the slope-intercept form, y = mx + b, to find the equation of line k.
Substituting the coordinates (5, 8) and the slope -1/3 into the equation, we can solve for y.
Using the point-slope form, y - y1 = m(x - x1), where (x1, y1) is the given point (2, y). We can rearrange this equation to get y = mx + b form, substitute the values, and solve for y to find the value of y.
Learn more about Perpendicular Lines here:https://brainly.com/question/18271653
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Find the volume of the cone to the nearest whole number. Radius is 2 and height is 4
Volume of the cone is 17 cm³
Step-by-step explanation:
Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 2 inches and h = 4 cm.Volume = 1/3 × 3.14 × 2² × 4
= 16.75 cm³ ≈ 17 cm³ (rounding off to nearest whole number)
Kayla has 8 red tennis balls 6 green tennis balls and five blue tennis balls can kala write a multiplication equation to find out how many tennis balls has she has it in all
Answer:
Equation for total number of balls = 8x+6x+5x =19x where x represent a single tennis ball.
Step-by-step explanation:
Given that Kayla has;
8 red tennis balls
6 green tennis balls
5 blue tennis balls
Let;
red tennis ball be r
green tennis balls be g
blue tennis balls be b
The total number of tennis balls is 8+5+6=19 balls
Multiplication is a repeated form of addition where ;
5*5*5 = 3*5= 5+5+5= 15
In this case, r+g+b=19 but r ,g and b are not repeated thus applying multiplication equation will not give the sum of the balls
However if you let a single ball to be represented by x then a single ball x will be multiplied by the number of balls in that category to get the total number of balls per color
For red balls= 8x
For green balls=6x
For blue balls=5x.
Total number of balls = 8x+6x+5x =19x where x represent a single tennis ball.
To find the total number of tennis balls Kayla has, she needs to add the number of each color of balls together, not multiply. When she adds 8 red, 6 green, and 5 blue balls, she gets 19 tennis balls in total.
Explanation:In this case, Kayla doesn't need to use a multiplication equation to find out the total number of tennis balls she has. Rather, she just needs to add the numbers together. Kayla has 8 red tennis balls, 6 green tennis balls, and 5 blue tennis balls. So, to figure out how many tennis balls she has in total, she simply adds these numbers together: 8 + 6 + 5 = 19 tennis balls in total.
Learn more about Addition here:https://brainly.com/question/35006189
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Harry saved $100 each week for 8 weeks. He earned $48 on his savings of $800. What interest did Harry earn for every $100?
In this problem, we know that Harry saved $100 each week for 8 weeks. In other words, he saved a total amount of money:
[tex]\text{Amount of money saved}=8\times 100=\$800[/tex]
We know that he earned $48 on his savings of $800, so for every $100 the interest (I) he earns is:
[tex]I=\frac{48}{8}=\$6[/tex]
So, in conclusion Harry did earn $6 in interest for every $100
What is the surface area of the square pyramid represented by the net?
Enter your answer in the box.
there is not answer choices btw...
Answer:144 m
Step-by-step explanation:
9x6=54/2=27
27x4=108
6x6=36
108+36=144
what is 1017 square feet of lawn mowed in 9 minutes written as a unit rate per hour
Answer:
6780
Step-by-step explanation:
(60/9) * 1017 = 6780
A bag contains 15 green, 18 yellow, and 16 orange balls. One ball is randomly selected.
To the nearest percent, what is the probability of the event?
Drag and drop the correct value into the box.
P(yellow) =
31%
33%
37%
42%
Answer: 37%
Step-by-step explanation:
n( green ) = 15
n( yellow) = 18
n(Orange) = 16
Total = 49
P(yellow) = n(yellow) / Total number
P(yellow) = 18/49
P(yellow) = 0.367
converting to percentage
P(yellow) = 0.367 x 100 = 36.7
To the nearest percent
P(yellow) = 37%
(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)
Triangle GHK is dilated by a scale factor of 1.5 about the origin.
What are the coordinates of K’?
A. (-6, 7)
B. (4, -10.5)
C. (6, 10.5)
D. (-6, 10.5)
Answer:
d
Step-by-step explanation:
the coordinate of k would be (-6,10.5)
A truck rental company rents a truck for a one-time fee of $25 plus $1.50
per mile traveled. Kelly has $80 she can spend on the rental truck. What is
the greatest number of miles that she can travel?
Using the cost equation C = $25 + ($1.50 x M), we solve for the greatest number of miles Kelly can travel with an $80 budget, which is 36 miles after rounding down to the nearest whole number.
Explanation:To determine the greatest number of miles Kelly can travel, we use the equation provided by the truck rental company. The total cost of renting a truck is composed of a one-time fee and a per-mile charge. To begin, we subtract the one-time fee from the total budget to find out how much money is left for the per-mile charges.
The equation representing the total cost (C) for the miles (M) driven is:
C = $25 + ($1.50 × M)
Kelly has $80 to spend, so we set the total cost equal to $80:
$80 = $25 + ($1.50 × M)
Now, we solve for M:
$55 = $1.50 × M
M = $55 / $1.50
M = 36.67
Since Kelly cannot travel a fraction of a mile, we round down to the nearest whole number. The greatest number of miles Kelly can travel is 36 miles.
A group of 15 friends travel to Washington DC. 2/5 go by bus, 1/3 by metro, and the rest by car. What fraction went by car? How many people went by bus? Metro? Car?
Answer:
14 4/5 went by car.
Out of 15 friends traveling to Washington DC, 6 went by bus, 5 by metro, and 4 by car, making the fraction that went by car 4/15.
To find out how many friends traveled by each mode of transportation to Washington DC and what fraction went by car, we can follow these steps:
Calculate the number of friends that went by bus: 2/5 of 15 = 6 friends.Calculate the number of friends that went by metro: 1/3 of 15 = 5 friends. (Note that fractions of people aren't possible in real life, so we would have to adjust these numbers; for example, maybe 5 went by metro and 6 went by bus, or vice versa.)For the rest by car, subtract the number of friends who went by bus and metro from the total: 15 - 6 - 5 = 4 friends.So, the fraction that went by car is 4/15.
Summary of transportation mode:
Bus: 6 peopleMetro: 5 peopleCar: 4 peoplei really need help with this 19 POINTS!!!
Answer:
93°
Step-by-step explanation:
Vertical angles have the same measure
Answer:
93%
Step-by-step explanation:
Tegan bought 1 1/6 metres of ribbon. She needs 2/5 metres to wrap her brothers present and 3/4 metres to wrap her sisters present. Did she buy enough ribbon?
Answer:
Yes
Step-by-step explanation:
2/5 + 3/4 = [2(4) + 3(5)]/20
= 23/20 = 1 3/20
1 3/20 = 1 9/60
1 1/6 = 1 10/60
1 1/6 > 1 3/20
This term is used when cancer spreads from the original site to other parts of the body.
felapse
in situ
metastatic
benign
Answer:
The answer is metastatic
Explanation:
metastasis is the spread of cancer cells from the place where they first formed to another part of the body.
URGENT!!!
The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 738 ft building to the horizon to the nearest mile?
(Hint: 5,280 ft = 1 mi; radius of Earth = 4,000 mi)
Answer:
its near 1 mile or half a mile
From the 66 male and 88 female sales representatives for an insurance company, a team of 44 men and 33 women will be selected to attend a national conference on insurance fraud.In how many ways can the team of 7
be selected?
The answer should be about 36,491,112
Sorry for harassing you I've had a less the good day, also sorry if it's wrong I haven't done this type of stuff in a while
find the relationship between the number of shapes and the perimeter of the figure they form Write an equation to represent this relationship?
Answer:
p = 3n + 2
Step-by-step explanation:
let n be the number of shapes and p the perimeter
We can construct the following table
n : 1 2 3
p : 5 8 11
The differences in p are constant
8 - 5 = 11 - 8 = 3
Thus p = 3n + ?
n = 1 → 3(1) + ? = 5 ⇒ 3 + ? = 5 ⇒ ? = 2
n = 2 → 3(2) + ? = 8 ⇒ 6 + ? = 8 ⇒ ? = 2
n = 3 → 3(3) + ? = 11 ⇒ 9 + ? = 11 ⇒ ? = 2
We require to add 2 to 3n
Thus
p = 3n + 2
I would appreciate it if you would help me
Answer:
Option D, 32
Step-by-step explanation:
Step 1: Identify the equation
6y = 192
Step 2: Solve for y by dividing both sides by 6
6y / 6 = 192 / 6
y = 32
Answer: Option D, 32
Please help. I’ll mark you as brainliest if correct!
A motorcycle shop maintains an inventory of five times as many new bikes as used bikes. If there are 65 new bikes, how many used bikes are now in stock?
Answer:
Step-by-step explanation:
65=5x (5x means 5 X as many bikes)
so 65=5x
x=13 bikes in stock (65 is divisible by 5)
twice the difference of a number and 2 is at most -27
When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:
Step 1. Twice the difference of a number and 2
Let's call that unknown number as n. Then, twice the difference of a number and 2 is:
[tex]2(n-2)[/tex]
Step 2. Twice the difference of a number and 2 is at most -27
[tex]2(n-2)\leq -27[/tex]
_________________________________________
So the mathematical form of the statement twice the difference of a number and 2 is at most -27 is:
[tex]\boxed{2(n-2)\leq -27}[/tex]
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:
[tex](x,y)\to( \frac{1}{2} x, \frac{1}{2} y)[/tex]
This implies that:
[tex](0,6)\to(0,3)[/tex]
[tex](7,12)\to(3.5,6)[/tex]
[tex](7,9)\to(3.5,4.5)[/tex]
[tex](0,12)\to(0,6)[/tex]
Therefore correct choice is (0,3)
Complete Ratio table
8 2
16 4
? 6
? 8
40 10 Help
Answer:
Step-by-step explanation:
8 2
16 4
24 6
32 8
40 10
???
a(n) = -1/16 (2) ^n-1 what is the 6th term
solve x+b greater than c for x
Answer: x+b>c/x
Step-by-step explanation: hope it helps please give brainliest!
Answer:
what kind of math is that?
Line v passes through points (1, 14) and (10, 9 )
line w is perpendicular to line v . what is the slope of w ?
Slope of v: a=(9-14)/(10-1)=-5/9
Slope of w: b=-1/a=9/5=1.8
5 divided by 7 over 10
Answer:
1 over 14
Step-by-step explanation:
reduce the expression, if possible. by canceling the common factors.
The summary statistics for all students that took the SAT at Jones High School are shown. Four sample groups of 10 students are
shown. For which sample group(s) is the mean greater than the mean of the population?
Answer:
D)
Step-by-step explanation:
i got it corect on the test
Answer:
i got the wrong answer when i picked d and the answer is group b
Step-by-step explanation:
Question d) please in image above
4x/x+2 x x-2/8x
Answer:
[tex]\frac{x-2}{2(x+2)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x}{x+2}[/tex] × [tex]\frac{x-2}{8x}[/tex]
Cancel 4x and 8x on the numerator/ denominator, thus
[tex]\frac{1}{x+2}[/tex] × [tex]\frac{x-2}{2}[/tex]
= [tex]\frac{x-2}{2(x+2)}[/tex]
Please help
5 points up for grabs
Answer:
490
Step-by-step explanation:
oh lord here we go again
get the area of all signs again
5 x 5 = 25
theres 2 of those squares so make that 50
8 x 5 = 40
theres 4 of those sides so 40 x 4 = 160
10 x 10 = 100
theres two of those so its 200
2 x 10 = 20
4 of these so 80
add all the final ones
50 + 160 + 200 + 80 = 490
What is the answer for x+4=4x-17
Answer: x=7
Step-by-step explanation:
×+4=4×-17
×-4×=-17-4
-3×=-21
×=-21/-3
×=7
Solve the last Y pls uwu
4 180
8 360
12 720
The formula is x*2 | y * 2
Hey there!
Let's set up a proportion to figure this out.
[tex]\frac{x}{y} =\frac{4}{180} =\frac{8}{360} =\frac{12}{y}[/tex]
As we can see, 180 is being added each time, on the bottom. If we continue with the pattern, we get that your final blank will be 540.
I hope this helps! Have a great day!