The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
Answers
Answer:
The smallest integer is -27 and the integers are -27, -26, and -25
Step-by-step explanation:
We can represent this with:
x + x - 1 + x - 2 = -78
Simplify.
3x - 3 = -78
Add 3 to both sides.
3x = -75
Divide both sides by 3.
x = -25
So, the first integer is -25.
Subtract two to get the smallest integer.
-25 - 2 = - 27
Related Questions
-8 + r > -8
please show work
Answers
Hey there! :-)
-8+r>-8
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Hey there!
-8 + r > -8
= r > -8 + 8
= r > 0.
Steps :-
Write the equation.Bring -8 to the other side of the equation. It becomes +8. Now, add 8 & -8. We'll get 0.So, the answer will be r > 0.Hope it helps ya!
What is the slope between these two points (-2, 7) and (4, 6)?(
Answers
[tex] \frac{6 - 7}{4 - ( - 2)} = \frac{ - 1}{6} = - \frac{1}{6} [/tex]
The slope is -1/6
6-7/4-(-2)
-1/6
= -1/6
Hurry!!!
At Smith’s bike rentals it cost $17 to rent a bike for three hours how many hours of bike does a customer get per dollar??
Answers
Answer:
3/17 hours per dollarStep-by-step explanation:
Use the ratio below:
$17 → 3 hours$1 → xSolve for x:
17x = 3x = 3/17Step-by-step explanation:
[tex]\sf\longmapsto \: \$ 17 = 3 \: hours[/tex]
[tex]\sf\longmapsto \: \$ 1 = x[/tex]
Now, Solve x–
[tex]\sf\longmapsto17x = 3[/tex]
[tex]\sf\longmapsto \: x = \frac{3}{17} \: hours \: per \: dollar[/tex]
Therefore,for 3/17 hours of bike a customer get per dollar.
There are 133 students at a small school and 23 of them are freshmen. What fraction of the students are freshmen?
Answers
Answer:
23/133
Step-by-step explanation:
If your total is 133, that would become your denominator, your numerator is how many students of those are freshman in which this case is 23.
The total number of freshmen in the school is 23/133
The number of students in the small school is 133
23 out of the 133 students are freshmen
Therefore the fraction of freshmen in the school can be calculated by dividing 23 by 133
Fraction of freshmen is 23/133
For more information on fractions please see the link below
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A publisher reports that 28% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 300 found that 23% of the readers owned a personal computer. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answers
cacacacacacas
⇆⇆⇄πβ≅≅ΔΔΔ
yes
The super discount store s having a sale and all the clearance items are 40% off. which of the following are correct ways to find the price of an item that is normally $25.00?
A. Multiply $25.00 by 40 B. Multiply $25.00 by 0.4
C. Multiply $25.00 by 0.4 and subtract that amount from $25.00
D. Multiply $25.00 by 0.6
Answers
Answer:
Answer is C.
Step-by-step explanation:
Carlos has earned more than $260 selling magazines subscriptions. Each subscription
was sold for $12. How many did Carlos sell?
Answers
Answer:
21.6 magazines
Step-by-step explanation:
260/12=21.6
The pH scale measures how acidic or basic a substance is. Bleach is said to have a
55 POINTS!!! WILL MARK!!! ANSWER FAST!!!pH of less than 14 and greater than 11. Model the normal range of pH values of bleach, using a compound inequality.
11 > x > 14
11 < x < 14
11 ≤ x ≤ 14
11 ≥ x ≥ 14
Answers
Answer:
11 < x < 14
Step-by-step explanation:
Bleach ph value ranges from 11-13
If AB= 4 units and DC=4 units , what is the length of BC?
Answers
answer 4
Step-by-step explanation:
if ab 4
dc 4
assuming a square bc 4
fourth degree and a single zero of -3
Answers
The degree of a polynomial is the highest power of the polynomial.
The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
The degree is given as:
[tex]\mathbf{n = 4}[/tex]
The zero is given as:
[tex]\mathbf{x = -3}[/tex]
Add 3 to both sides
[tex]\mathbf{x + 3= 0}[/tex]
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
[tex]\mathbf{P(x) = (x + 3)^n}[/tex]
Substitute 4 for n
[tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
Pablo mixes 3 units white paint and 1 unit black paint to make gray paint
Answers
Answer:
Whats the Question?
Step-by-step explanation:
I need help with Part B does anybody know
Answers
Answer:
Ako pilipino
Step-by-step explanation:
I'm on american hehe pilipino talaga ako
We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. The least-squares line for predicting final-exam score from mid-term exam score was γ=46.6 + 0.41x.
Octavio scores 10 points above the clas mean on the midterm. How many points above the class mean do you predict that he will score on the final. (Hint: what is the predicted final-exam score for the class mean midterm score of x-bar?) This is an example of regression to the mean, the phenomenon that gave "regression" its name: students who do well on the midterm will on average do less well on the final, but still above the class mean.)
Answers
Using the model equation, the predicted mean score on the final given a score of 10 points above the class mean in the mid term exam is 50.7
The Least - Square Regression equation which models the relationship between midterm and final exam score is :
γ=46.6 + 0.41xx = 10 points ; substitute the value of x = 10 into the regression equation ;
γ=46.6 + 0.41(10)
γ=46.6 + 4.1
γ = 50.7
The number of points above the mean he'll score in the final exam is predicted to be 50.7
Learn more :https://brainly.com/question/18405415
Evaluate the following. Enter the answer as a simplified fraction.
sin(-11pi/6)cos(4pi/3)
Answers
Answer: -25/100 or -1/4
Sorry if its wrong, Happy To Help
Step-by-step explanation:
Divide. Give the quotient and remainder. 5429 divide by 3
Answers
Answer:
quotient = 1809
remainder = 2
Step-by-step explanation:
Let me know if i'm right
Determine the axis of symmetry of a parabola whose graph is given below. Give your answer in the form X equals H
Answers
Answer:
x = -3
Step-by-step explanation:
The axis of symmetry of a parabola, in the form of x = h is x = -3, where the value of h is -3.
A surface curve formed by the intersection of a cone and a plane parallel to a straight line is called as parabola.
An imaginary straight line that divides a shape into two identical halves is called as axis of symmetry.
In the given figure, the graph intersects the x-axis at x = -3.
So, the axis of symmetry of a parabola in the form of x is -3.
Thus, the value of h is -3.
Learn more about parabola here:
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If p(x)=x3-3x2,then find the value of p(1)
Answers
Answer:
p=[tex]x^{2}[/tex]-3x
Step-by-step explanation:
Divide each term by x
Simplify the left side
Cancel the common factor of x
Cancel the common factor
Divide p by 1
Simplify the right side
Simplify each term
Cancel the common factor of x^3 and x
Factor x out of x^3
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide x^2 by 1
Cancel the common factor of x^2 and x
Factor x out of −3x^2
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide −3x by 1
p=x^2−3x
Each big square below represents one whole. what percent is represented by the shaded area?
Answers
Answer:
175%
Hope this helps!
Dos rectas se cortan formando un ángulo de 135°. Si se sabe que la recta final tiene una pendiente igual a 4, podríamos indicar que las rectas son:
Paralelas
b.
Semirectas
c.
Secantes
d.
Perpendiculares
Answers
Las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)
Las dos rectas en cuestión no pueden ser paralelas pues sus pendientes son distintas y, por consiguiente, se intersecan en algún lugar del plano.
Tampoco pueden ser semirrectas pues el enunciado indica que existen dos rectas y las rectas no tienen principio ni fin.
Mucho menos pueden ser perpendiculares, pues el ángulo es distinto a 90°.
En consecuencia, las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)
Invitamos cordialmente a ver esta pregunta sobre rectas: https://brainly.com/question/21478732
What is the slope of the line that passes through the points (4, 10)(4,10) and (1, 10) ?(1,10)? Write your answer in simplest form.
Answers
Answer:
0
Step-by-step explanation:
Slope = Δy/Δx
Slope = 10-10/4-1
Slope = 0/3
Slope = 0
It is a Horizontal Line
-Chetan K
I need help with this question. Thank you!
Answers
Answer:
gradient is the same as slope The gradient or slope of line A = 3/1 or 3
The gradient of line B is -4/1 or -4
gradient or slope = rise over run = y/x.
if the line goes up from the left to the right, The slope is positive.
if the line goes down from the left to the right, The slope is negative
Please Help!!!!!!!!!!!
what is the ninth term of the arithmetic sequence a(n)=14 + 2(n-1)?
A. 21
B. 23
C. 30
D. 32
Answers
Answer:
C= 30
Step-by-step explanation:
9. plsss help, will give brianlist
Answers
Answer:
[tex]1. \: \: \: \: \frac{1}{5} \\ 2. \: \: \: \: - \frac{3}{2} \\ 3. \: \: \: \: \frac{1}{2} [/tex]
Step-by-step explanation:
1. In the first diagram we simply count the number of squares along the rise and the number of squares along the run as slope equals rise/run
2. we use the slope formula
[tex] \frac{y2 - y1}{x2 - x1} = \frac{ - 2 - 1}{ 1- ( - 1)} = \frac{ - 3}{2} = - \frac{3}{2} [/tex]
3. pick any two points and apply the slope formula again
[tex]( - 1. \: \: 1) \: and \: (3. \: \: 3) \\ \frac{3 - 1}{3 - ( - 1)} = \frac{2}{4} = \frac{1}{2} [/tex]
Fill in the blanks please!!
Answers
Answer:
6,I can't help with the second one I wasn't good with that parallel lines
Step-by-step explanation:
Y2-Y1. So 3-9. 6
--------- - - -- = - - =6
X2-X1. 1-2. 1
Identify h (x) = [x] + 4
A. Constant function
B. Greatest integer function
C. Direct Variation function
D. Absolute value function
PLEASE HELP ILL MARK BRIANLIEST
Answers
btw i also love tvd
A slow steady rainstorm lasted all day. The rain was falling at a constant rate.
1. Write an equation that relates how much rain has fallen and how long it has been raining.
2. How long will it take for 5cm of rain to fall?
Answers
Answer:
15 hours
Step-by-step explanation:
What does 2-for-1 split mean
Answers
Answer:
you two shares for every one share of a company you own
Step-by-step explanation:
Factor out the coefficient of the variable term.
4x - 20
Factored expression:
Answers
Answer:
[tex]4(x-5)[/tex]
Step-by-step explanation:
The expression 4x - 20 has the greatest common factor (GCF) of 4.
[tex]4x-20\\4(x-5)[/tex]
Therefore, the factored expression is 4(x - 5).
The coefficient of the variable for the expression 4x - 20 is found as 4.
What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.For the given question,
The expression is given as;
4x - 20
where,
4 is the coefficient of the variable of the expression.
-20 is the constant in the expression.
Thus, the coefficient of the variable is found as 4.
To know more about the coefficient of the variable, here
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help me with this question please!!
Answers
Answer:
A = 2 pi R^2 + 2 pi R h total surface area
R^2 = 48 2 pi R = 8 * 6^1.2 given
56 pi 6^1/2 - 2 pi R^2 = 2 pi R h f rom first formula
28 * 6^1/2 / R - R = h divide by 2 pi r
28 * 6^1/2 / R = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2
h = 7 * 2^1/2 - 4 * 3^1/2
SHOW WORK. Algebra question 100 POINTS! Easy
Answers
[tex](4x)^{2} (6x)^{5} \\4^{2} x^{2} (6x)^{5} \\16x^{2} (6x)^{5} \\16x^{2} *6^{5} x^{5} \\16x^{2} *7776x^{5} \\(16*7776)x^{2} x^{5} \\124416x^{2} x^{5} \\124416x^{2+5} \\124416x^{7}[/tex]
Answer:
C. 96x⁷Step-by-step explanation:
(-4x)²(6x⁵) = (-4)²*x²*(6x⁵) =16x²*6*x⁵ =(16*6)*x²⁺⁵ =96x⁷Your choice is correct
