Answer: 3 + 1/6x
Step-by-step explanation:
From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.
In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:
= 3 + (1/6 × x)
= 3 + 1/6x
A local carpenter uses the function LaTeX: f\left(x\right)=180xf ( x ) = 180 x to determine the amount earned after selling LaTeX: xx number of book cases. He has to sell between 5 and 10 bookcases each month in order to meet his sales goal. Find the domain for this situation. Group of answer choices
Given:
A local carpenter uses the function f(x) to determine the amount earned after selling x number of book cases.
[tex]f(x)=180x[/tex]
He has to sell between 5 and 10 bookcases each month in order to meet his sales goal.
To find:
The domain for this situation.
Solution:
We have,
[tex]f(x)=180x[/tex]
where, f(x) is the amount earned be carpenter after selling x number of book cases.
Domain is the set of input values.
Here, input values are number of books he has to sell, which can be a fraction value.
Since, he has to sell between 5 and 10 bookcases each month in order to meet his sales goal, therefore the x values must be integers between 5 and 10.
Therefore, the domain for this situation is set of integers between 5 and 10, i.e., {5,6,7,8,9,10}.
Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
The charge for a cab ride in one city is modeled by the function f(m)=4+2.5m where m is the number of miles driven. What is the charge for a 12 mile cab ride?
Answer:
34
Step-by-step explanation:
Plugin 12 for x
f(12)=4+2.5(12)
2.5 times 12=30
30+4=34
A system of equations is shown below:
2x = 5y + 4
3x − 2y = −16
What is the solution to this system of equations? (5 points)
Answer:
x = -8, y = -4
Step-by-step explanation:
First we want to write the equations so the variables line up
[tex]2x - 5y = 4\\3x - 2y = -16\\[/tex]
Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.
I will choose to cancel out the x's
[tex]-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32[/tex]
add the equations and solve
[tex]11y = -44\\y = -4[/tex]
once you have one variable, you can use it to solve the other
[tex]2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8[/tex]
verify
[tex]3(-8) - 2(-4)\\-24+ 8\\-16\\[/tex]
it works
helppp pleaseee
Consider the functions below.
f(x) = x
g(x) = 3x
Which of the following statements describes the graph of function g?
The graph of g is 3 times steeper than the graph of f.
The graph of g is 3 units to right of the graph of f.
The graph of g is 3 units to left of the graph of f.
The graph of g is times as steep as the graph of f.
Answer:
The graph of g is 3 times steeper than the graph of f.
Step-by-step explanation:
I just did it and got it right
Answer:
The graph of g is 3 times steeper than the graph of f.
Step-by-step explanation:
Use the Factor Theorem to determine whether h(x) = x – 1 is a factor of f(x) = 14x^99 – 65x^56 + 51.
a. Yes
b. No
HELPPP !! LOOK AT PICTURE
The function, f(x), is a third-degree polynomial whose
zeros are shown on the number line. Use the function
values below to determine the solutions set of f(x) < 0.
Answer:
A) (-infinity,-2] and D) [0,2]
Step-by-step explanation:
15 points!!!
4x^2 -20x +25≥0
Answer:
x ≥ [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given equation:
4x² -20x + 25≥0
To solve for x, we simply factorize the equation;
We should find two numbers whose sum = -20 and product is 100
These two numbers are -10 and -10
So;
4x² - 10x - 10x + 25 ≥ 0
factorize;
2x(2x - 5) - 5(2x - 5) ≥ 0
(2x - 5) (2x - 5) ≥ 0
So;
2x - 5 ≥ 0
2x ≥ 5
x ≥ [tex]\frac{5}{2}[/tex]
At a quiz competition for every question team A answered correctly team B answered 2 questions correctly. The ratio of the number of questions team A answered correctly to the number of questions team B answered correctly is ___ 1 to1 2 to 1 1to2 2to2
Answer:
1 to 2
Step-by-step explanation:
If A answers 1 question, B will answer 2 questions, making the ratio 1 to 2
Answer:
The answer is 1 to 2 i did the quiz on flvs
Step-by-step explanation:
4(2x-3)=52
Solve please sends fast
Answer:
[tex]\boxed {x = 8}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4(2x - 3) = 52[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]2x - 3 = \frac{54}{4}[/tex]
[tex]2x - 3 = 13[/tex]
-Add both sides by [tex]3[/tex]:
[tex]2x - 3 + 3 = 13 + 3[/tex]
[tex]2x = 16[/tex]
-Then, divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} = \frac{16}{2}[/tex]
[tex]\boxed {x = 8}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]8[/tex].
What is the quotient of 6 and 2?
?
-12.
1
12.
0
12.
0 12.
Answer:
-12
Step-by-step explanation:
I got it right on edgen
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)
Answer:
23
Step-by-step explanation:
7 - 5p + 3a
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
Item 3 Find the distance from point $A$ to $\overleftrightarrow{XZ}$ . Round your answer to the nearest tenth. Triangle X Z A and line X Z are plotted on a coordinate plane. The x-axis ranges from negative 5 to 5, in increments of 1. The y-axis is ranges from negative 5 to 5, in increments of 1. Point X is at ordered pair negative 4 comma negative 3, point Y is at ordered pair 2 comma negative 1.5, point A is at ordered pair 3 comma 3 and point Z is at ordered pair 4 comma negative 1. Angle A Z X is marked with a right angle.
Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?
Answer:
3.33 m/s
Step-by-step explanation:
speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]
PLEASE HELP AND QUICK!!!
Answer:
A
Step-by-step explanation:
dude trust me
1-2x + 10 1 +12 = 4 *
Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.
to find the cost of a small drink, you might want to:
subtract the decimalstotal cost : $20.50
cost of pizza :$13.00.
cost of one small drink : total cost - cost of pizza
: $20.50 - $13.00.
: 20.50
- 13.00
: 07. 50
: $ 7.50
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
slope is y2-y1/x2-x1
20-10/7-7
10/0
denominator can't be 0
Answer:
D
Step-by-step explanation:
cause i said so
which one does not belong ?
1/20 _20/25 _2/3_ 5/4
And why is the answer correct?.
Answer:
2/3 because they have something to do with five
Step-by-step explanation:
Somebody help me plssss
Answer:
The last one 4x4
Step-by-step explanation:
Answer:
last one, D.
Step-by-step explanation:
Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).
Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.
Answer:
hmmm...i wanna go with B
Step-by-step explanation:
because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on
at least i believe im right haha hope this helped if its not to late
Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.
Step-by-step explanation: I got the answer correct hope this helps!
What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answer:
0
Step-by-step explanation:
it has a zero slope
0,0
6,0
0-0=0
6-0=6
0/6 is 0
whats 4*4
hrry answer it
Answer: 16
Steps: 4 × 4 = 16
PLz mark brainliest:)
Answer:
16
Step-by-step explanation:
4*2 is 8 and 8+8 is 16.
PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:y=9
Step-by-step explanation:
What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.
Answer:
If i am correct the area should 337inches..........
Step-by-step explanation:
my reason is becuase if you multiply these numbers
13* 6 = 78 and 8 * 8 = 64 and 10 * 17 + 170 and last 5 * 5 = 25
they you add 170+ 78 + 64 + 25 = 337inches so means the answer is 337 Your Welcome :D
A 42-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.
Answer:
4, 8, 30
Step-by-step explanation:
Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.
Equation:
x + 2x + 7x + 2 = 42
10x + 2 = 42
10x = 40
x = 4
The First piece is 4 inches
Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.
Hope this helps!!!
6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .
there are 11 pieces of pie left over in the cafeteria. if the 6 pieces are apple and 5 are cherry , what fraction of the remaining are apple
Answer:
6/11
Step-by-step explanation: If not this try 12/22
This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11
which is bigger. 34 1/2 or 34.5
Answer: They are equal.
Step-by-step explanation:
34 1/2 equals 34.5 in decimal form
34.5 equals 34 1/2 in fractional form
(.5 equals 1/2)