Answer:
36
Step-by-step explanation:
Let's let n be any number.
If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.
So, the consecutive even number will be (2n+2) followed by (2n+4).
We know that their sum must be 114. Therefore, we can write the following equation:
[tex](2n)+(2n+2)+(2n+4)=114[/tex]
Solve for n. Combine like terms on the left:
[tex]6n+6=114[/tex]
Subtract 6 from both sides:
[tex]6n=108[/tex]
Finally, divide both sides by 6. Therefore, the value of n is:
[tex]n=108/6=18[/tex]
Therefore, our first even number is 2n or 2(18) which equates to 36.
And the consecutive even numbers will be 38 and 40.
So, the smallest of them, the first term, is 36.
Let the three consecutive even numbers be x, x + 2 and x + 4 .
[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]
[tex] \longrightarrow \rm 3x + 6 = 114[/tex]
[tex] \longrightarrow \rm 3x = 108[/tex]
[tex] \longrightarrow \bf x = 36[/tex]
Smallest number = 36
PLEASE SOLVE
1/3 (12f-3)=4f-1
Answer:
4F-1
Theres infinite amount of solutions
Step-by-step explanation:
12f/3=4f
-3/3=-1
4f-1=4f-1
Answer:
f = 0
No solutionStep-by-step explanation:
[tex] \frac{1}{3} (12f - 3) = 4f - 1[/tex]
Use ⅓ to open the bracket
[tex] \frac{1}{3} \times \: 12f = 4f \\ \frac{1}{3} \times 3= 1[/tex]
[tex]4f - 1= 4f - 1[/tex]
Collect like terms
[tex]4f - 4f = - 1+1 \\ - 1f = 0 \\ \\ f = 0[/tex]
What is the minimum value of F(x)= 10x^{2} -6x-3
3/10 or -39/10
Answer: 3/10
Step-by-step explanation:
Take the derivative of [tex]10x^2-6x-3[/tex] to get [tex]20x-6[/tex]. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
[tex]20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}[/tex]
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
Distributive Method
(2x+3)(x
Answer
(2x + 3)=x+7
2x+3=x+7
2x-x=7-3
1x=4
Help i will mark brainliest to who first
Answer:
Chapter 2 The Language of Algebra
Simplify:
1.5(3+2·6)−82
Solve:
2.17=y−13
3.p+14=23
Translate into an algebraic expression.
4.11 less than the product of 7 and x.
Translate into an algebraic equation and solve.
5.Twice the difference of y and 7 gives 84.
6.Find all the factors of 72.
7.Find the prime factorization of 132.
8.Find the least common multiple of 12 and 20.
Chapter 3 Integers
Simplify:
9.|8−9|−|3−8|
10.−2+4(−3+7)
11.27−(−4−7)
12.28÷(−4)−7
Translate into an algebraic expression or equation.
13.The sum of −5 and 13, increased by 11.
14.The product of −11and8.
15.The quotient of 7 and the sum of −4andm.
16.The product of −3 and is −51.
Solve:
17.−6r=24
Chapter 4 Fractions
18.Locate the numbers on a number line.
7
8
,
5
3
,3
1
4
,5.
Step-by-step explanation:
6. A set of data points has a correlation coefficient r = -0.86. Your friend claims
that because the correlation coefficient is close to -1, it is reasonable to use the
line of best fit to make predictions. Is your friend correct? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
The line of best fit is used in linear regression models to make predictions, the line of best fit gives the relationship between the dependent and independent variables by obtaining the Coefficient of correlation. The Coefficient of correlation is a value which ranges from - 1 to 1. With values close to either - 1 or 1 depicting a strong negative and positive relationship respectively. Hence, with a correlation Coefficient of - 0.86, which signifies a strong negative relationship, then we can go ahead and make prediction using the model.
The measure of an angle is 9 more than twice its complement. Find the measure of each angle. Which equation below accurately translates the sentence and could be used to find the measure of each angle? 2x + 9 = 90 - x x + 9 = 2(x - 90) x = 9 + 2(90 - x) 2x = (x - 90) + 9
Answer:
1) Find the measure of each angle.
The measure of each angle = 63° and 27°
2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?
a) 2x + 9 = 90 - x
Step-by-step explanation:
1) Find the measure of each angle.
Two Angles are Complementary when they add up to 90 degrees (a Right Angle)
Mathematically this is represented as:
x° + y° = 90°
From the above question, we are told that:
The measure of an angle is 9 more than twice its complement.
Let the complement of an angle be represented by x
And its measure of an angle be represented by y
Hence,
y = 2× x+ 9
y =(2x + 9)°
x° + y° = 90°
Substitute 2y + 9 for x
x + 2x + 9 = 90
Collect like terms
x + 2x = 90 - 9
3x = 81
Divide both sides by 3
3x/3 = 81/3
x = 27°
We find y(measure of the angle)
x + y = 90
27 + y = 90
y = 90 - 27
y = 63°
Therefore, the measure of each angle is given as:
Measure of an angle = 63°
Complement of an angle = 27°
2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?
a)2x + 9 = 90 - x
b) x + 9 = 2(x - 90)
c) x = 9 + 2(90 - x)
d) 2x = (x - 90) + 9
Option a) is the correct option
Make a table of ordered pairs for the equation.
y=2×+1
Then plot two points to graph the equation.
Jackie plays football for the New England Patriots. During the second quarter, Jackie carried the ball 2 times. He gained four yards during the first carry and lost seven yards during the second. HOw many total yards did he gain during the second quarter?
Answer:
Actually he lost 3 yards.
It means he gained -3 yards.
Step-by-step explanation:
During second quarter, Jackie carried the ball 2 times. He gained 4 yards during first carry.
He lost 7 on second carry.
He gained = 4-7 =-3 yards
Please answer these questions.... please..
A+b; when a =12 and b =4
Answer:
16
Step-by-step explanation:
a+b
12+4
16
Answer:
16
Step-by-step explanation:
put the values of a and b in the equation and get sum of it
What is the coefficient in the expression 40a-61=17
Answer:
a = 1.95
Step-by-step explanation:
40a - 61 = 17
40a - 61 + 61 = 17 + 61
40a = 78
40a / 40 = 78 / 40
a = 1.95
What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)
Answer:
B (lmk if you want me to explain)
Step-by-step explanation:
the point slope form is
y-y1=m(x-x1)
y-12=5/6(x--9)
y-12=5/6(x+9)
Decide which of the two points lies on the graph of the line
2x+y=10
A.(4,3)
B.(-4,18)
Answer:
A
Step-by-step explanation:
when you substitute 4 in x and 3 in y, your result are 11 no 10
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?
Answer: $62.75
Step-by-step explanation:
1.)$20.00 x2= $40.00
2.)$14.50 +$8.25= $22.75
3.)$40.00 +$22.75= $62.75
Hope this helps
Idk about this tbh :/ Plz help :)
Answer:correct
Step-by-step explanation:
I had the same question
Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 altogether at the carnival and the number of games she played is twice the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Brianna played, x,x, and the number of rides Brianna went on, yy.
Answer:
6 games and 3 rides
Step-by-step explanation:
Let the number of games Brianna played be x,
and the number of rides she went on be y.
Total cost for games= 1.25x
Total cost for rides= 3.75y
Since number of games is twice the number of rides,
x= 2y -----(1)
Total costs= cost of games +cost of rides
[tex]18.75= 1.25x +3.75y[/tex]
Multiply the whole equation by 4 to remove the decimals:
[tex]75= 5x +15y[/tex]
Simplify by dividing the whole equation by 5:
[tex]15 = x + 3y[/tex]
Label the equation:
x +3y= 15 -----(2)
Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.
I will choose 3 points to plot on the graph for each equation:
x= 2y -----(1)
[tex]\begin{tabular}{|c|c|c|c|}
\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\
\cline{1-4}y & 1 &2&3\\
\cline{1-4}
\end{tabular}[/tex]
x +3y= 15 -----(2)
x= -3y +15
[tex]\begin{tabular}{|c|c|c|c|}
\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\
\cline{1-4}y & 1 &2&3\\
\cline{1-4}
\end{tabular}[/tex]
Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.
From (1): y= ½x
From (2): 3y= 15 -x
y= 5 -⅓x
From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.
x- coordinate: 6
y- coordinate: 3
Thus, Brianna played 6 games and went on 3 rides.
Answer:
6 games=$7.5 3 rides=$11.25
1.25*6=7.5
3.75*3=11.25
7.5+11.25=18.75
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
Nature's Best wants to combine nuts they sell for $3.60 a "
pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 'a pound?
Answer:
brainlest maybe
Step-by-step explanation:
Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound?
--------------
Let amt. of nuts be "x" lbs ; value is 3.60x dollars
-------------
Amt of fruit is "10-x" lbs ; value is 2.4(10-x) = 24-2.4x dollars
----------------------
Amt of mix is 10 lbs ; value is 3.3*10= 33 dollars
------------------------
EQUATION:
value + value = 33 dollars
3.6x + 24-2.4x = 33
1.2x = 9
x = 7.5 lbs (amt of nuts in the mix)
10-x = 2.5 lbs (amt of fruit in the mix)
=================
The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds let the speed, S, be measured in feet per second. True or false: the equation
Answer:
True the speed S in in Feet/secondStep-by-step explanation:
In this problem we are required to solve for the speed of an object.
given that the expression to solve for the speed is expressed as
speed= distance/time
given data
distance=100 feet
time=2.5 seconds
substituting our given data into the expression we can solve for speed as
speed (S)=100/2.5
S= 40feet/seconds
upon substituting our data the speed S was found to be 40feet/s
True the speed S in in Feet/second
8 (v - 2) = 5 (v + 3) + 8 solve for v and solve in rows and show your work for brainlyist
QUIZ
Active
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Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2
h e l p .................
Answer:
The answer is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
It is going by two's but with negative numbers so if we go backwards it would be -6, -4, -2, then the blue dot which would be 0.
(Trig)A Ferris wheel with a diameter of 90 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 3 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.
Write a formula for the height of the couple t seconds after the ride begins.
How many seconds after the ride starts will the couple be 70 meters above the ground for the second time?
Answer:
Step-by-step explanation:
Answer:
65x-489
Step-by-step explanation:
pls explain it,,,,,,,,,,,,
Answer:
B. not a function
Step-by-step explanation:
y has 2 solutions: +√1-6x and -√1-6x
For y to be a function, it should only have one solution. That's why y is not a function.
Hope it will help :)
To get from his high school to his home, Jamal travels 9 miles east and 9 miles north. When Sheila goes to her home from the same high school, she travels 4 miles east and 5 miles south. What is the distance between Jamal's home and Sheila's home?
Answer:
14 miles north 5 miles east
Step-by-step explanation:
-5miles 9+5 because distance cant be negitive.
Answer:
14.6 miles
Step-by-step explanation:
Jamal will end up about \sqrt{162} from the school and Sheila will be about \sqrt{41}. They will be \sqrt{212} for each other or 14.6 miles.
A table of equivalent ratios is shown. One value is missing from the table.
Which value is missing from the table?
a.) 8
b.) 9
c.) 11
d.) 13
Answer:
C) 11
Step-by-step explanation:
65/5=13
91/7=13
182/14=13, therefore
143/13=11
which elephants weight 2.85 tons when rounded to the nearest hundredth? Is it
tiny: 2.805 tons
Lizzy: 2.861 tons
Raja: 2.842 tons
fanny: 2.849 tons
Those are the 4 chooses and I am confused on it
The elephant that weigh 2.85 tons after rounding up is [tex](fanny: 2.849 tons)[/tex]
We are required to round to nearest hundredth so that the elephant could have a weight of 2.85 tons.First option [tex]:2.805 tons[/tex]if we round this up starting from right hand side, if we round the 5 up then it will become 1 then we have [tex]2.81 tons[/tex]Second option: 2.861 tonsIf we round up, then since 1 is not up to 5 so it becomes zero, then we have[tex]2.86 tons[/tex]Third option: 2.842 tons If we round up, then since 2 is not up to 5 so it becomes zero, then we have[tex]2.84 tons[/tex]Fourth option:2.849 tonsif we round 9 up, it will become 1, then we will add it to 4, then we have [tex]2.45 ton.[/tex]Therefore, Fourth option is correct.
Learn more at: https://brainly.com/question/20596193?referrer=searchResults
6
Directions - Determine the correlation for the situation. Choose Positive/ Negative/ or No correlation for each.
The outside temperature in the summer and the cost of the electric bill (for air conditioning).
A) Positive correlation
B Negative correlation
No Correlation
Probably No correlation because they don't relate to each other
What is 86 X 10^4 the right andswer
Evaluate the expression: (16 ÷ 4)3 – 6 The solution is _____.
Answer:
The answer is 6
Step-by-step explanation:
To solve this expression you use PEMDAS
16÷4=4
4×3=12
12-6=6
Answer:
(16/4)3 - 6 = ?
=> (16 * 3/ 4 * 3) - 6 = ?
=> (48 / 12) - 6 = ?
=> 4 - 6 = ?
=> -2 = ?
Therefore, (16/4)3 - 6 = -2
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
5.505, 5.55, 0.555, 5.005 from greatest to least.
Answer:
5.555
Step-by-step explanation:
because this is big then other no
