Answer:
6, 7, 8
Step-by-step explanation:
Let the smallest integer be x.
The next greater one is x + 1.
The greatest of the three is x + 2.
Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.
2(x + 2) = x + 10
Solve the equation for x to find the smallest of the integers.
2x + 4 = x + 10
x = 6
The next one is x + 1.
x + 1 = 7
The greatest is x + 2.
x + 2 = 8
Answer: 6, 7, 8
Answer:
6, 7, 8
Step-by-step explanation:
You can set up variables to represent each of these integers.
For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.
Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.
Next solve for x using PEMDAS.
1. (x) + 10 = 2(x + 2)
2. x + 10 = 2x + 4
3. 2x - x = 10 - 4
4. x = 6
Now you can find the other integers by adding 1 and 2 to 6.
The correct answers should be 6, 7, 8.
Evaluate the expression m+np−q if m=1/15, n=−1/3, p=−0.4, and q=2 1/3. Express your answer as a decimal. Use bar notation if necessary.
Answer:
-2.4, or -72/30 or -2 4/10
Step-by-step explanation:
m + np - q
m = 1/15
n = -1/3
p = -0.4
q = 2 1/3
1/15 + (1/3)(-0.4) - 2 1/3
1/15 + (-4/30) - 2 1/3
2/30 - 4/30 - 70/30
-2/30 - 70/30 = -72/30
-72/30 = -2.4
-Chetan K
I’ve posted this so many times someone finish this so I can sleep and not wake up to another assignment
What is the degree of 6x5 - 4x2 + 2x2 – 3 + x?
O A. 6
O B. 2
C. 5
O D. 3
Answer:
5
Step-by-step explanation:
It is the greatest exponent.
The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
Enter your answer by filling in the boxes.
The equation of the parabola is:
(y - 6)² = -12(x +2)
Parabola is the locus of a point such that its distance from a fixed point (called the focus) and a given line (called the directrix) is always the same.
The equation of a parabola is given by:
(y - k)² = 4p(x - h)
Where (h, k) is the vertex, (h + p, k) is the focus
Given the vertex of a parabola is (-2,6), and its focus is (-5,6).
Hence, k = 6, h = -2;
h + p = -5
-2 + p = -5
p = -3
Hence the equation of the parabola is:
(y - 6)² = -12(x +2)
Find out more at: https://brainly.com/question/21685473
A class has 30 students. 10 students take the bus. What percentage of students take the bus?
Answer:
33.3%
Step-by-step explanation:
10/ 30= 0.3(3 would be a reoccurring decimal)
0.3*100=33.3
10% of students take the bus
|2x + 6| = 16
plsss helppp
Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
solve pls brainliest
Answer:
20yd²
Step-by-step explanation:
6 × 6 = 36
4 × 4 = 16
36
-16
20
solve the short line equation, image attached, giving brainliest please help
Answer:
x = 3
Step-by-step explanation:
2 - 2x = -3 - -1
2 - 2x = -4
-2x = -6
-2x / -2 = 1x
-6 / -2 = 3
ur answer is then 1x = 3 or x = 3.
A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?
find the total surface area of this triangular prism PLEASE HELP
Answer:
Step-by-step explanation:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
S.A=(help me)
ANSWER PART B
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Liam suggests adding some other cards to Sia's game
Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
ANSWER PART B
How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.
Answer:
Answer:Back 2
Step-by-step explanation:Blue + Red=-2
Step-by-step explanation:
Please help (picture is linked)
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.
Answer:
-3 1/20
Step-by-step explanation:
-3 1/20 is the first answer
The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increase?
Answer: Percentage increase is 87.02%.
Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.
a. Subtract value in 2012 from value in 2011
b. Divide the answer in part a by value in 2011.
c. Multiply the answer in part b by 100.
We have the percentage increase.
mark brainliest pls
a factory makes lightbulb's out of 400 light bulbs 18 were found to have defective filaments
Answer: If you are asking for percentage, 18/400 bulbs were defective. In other words, 4.5% of bulbs were defective. This also means that 95.5% of bulbs were not defective.
Would appreciate brainly <3
I would appreciate if you answered!
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
m-2/3<-4 OR 3m -8>4
Pls help ⚠️
Answer:
-10 OR 4
Step-by-step explanation:
hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D
Step-by-step explanation:
When you get negative it is ok.
It means you have a discount here, not really increase but decrease in price.
Here you have:
(1680 - 4200)/4200*100% = - 60%It is called 60% mark down or 60% discount
find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!
Answer:
21.8
Step-by-step explanation:
1.9 + 9 = 10.9
10.9 x 2 = 21.8
Answer:
21.8
Step-by-step explanation:
2×1.9=3.8
2×9=18
total=21.8
the reciprocal of 5 and 4/9
Answer:
1/5 and 9/4
Step-by-step explanation:
Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is the reciprocal of a number?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].
We have the following numbers -
5 and 4/9
We can write -
x = 5
y = 4/9
So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.
The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.
Therefore -
the reciprocal of 5 will be 1/5. the reciprocal of 4/9 will be 9/4.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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4(x-3)/8=y change the subject to x
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.
Draw the normal curve
What range of hours constitutes 96% of light bulb hours of life?
Between 300 and 700 hours
Less than 600 hours
Answer:
C. 97.1 should be your answer
Step-by-step explanation:
100 points yes i said 100 no links
Answer:
None
Step-by-step explanation:
A rational number can never be changed into irrational
Answer:
The answer to your question is None
Step-by-step explanation:
A rational number can never be changed into irrational.
In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
I hope this helps and have a wonderful day!
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
PLS HELP ASAP ITS FOR MY ASSIGNMENT DUE RN!!! WHOEVER ANSWERS FIRST GETS BRAINLIEST, 5 STARS, AND A THANKS!!!!
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
3
15. 6x + 10y=0
Find the slipe
Answer: y = -3/5x
............................................
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
Reset
Next
Answer:
D. (-3, 26)
Step-by-step explanation:
The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)
We can rearrange the first equation to give an expression for y:
y = 17 -3x
This can be substituted into the second equation to give ...
x +2(17 -3x) = 49
-5x +34 = 49 . . . . . . simplify
-5x = 15 . . . . . . . subtract 34
x = -3 . . . . . . divide by -5
Then the value of y is ...
y = 17 -3(-3) = 26
The single solution is (x, y) = (-3, 26).
A formula is given with the value of all but one of the variables in the formula. Find the value of the variable not given.
P=2L + 2W; L= 4, W = 8
Answer:
P = 24
Step-by-step explanation:
P = 2L + 2W ( substitute L = 4, W = 8 into the formula )
P = 2(4) + 2(8) = 8 + 16 = 24
Answer :
Step-by-step explanation:
P=2(4)+2(8)
P=8+16
P= 24
Answer the question below:
A: 2 units right and 6 units up
B: 6 units left and 2 units down
C: 2 units left and 6 units up
D: 6 units right and 2 units down
Answer:
c
Step-by-step explanation: