Answer:
y=16x
Step-by-step explanation:
24=1 1/2x=3/2x
x=24*(2/3)=16
y= total money earned; x=number of hours worked
The points (3,6) and (5,12) lie on the graph of a linear equation. Is (4,8) a solution of the same linear
equation? Explain.
After finding the equation of the line, it is found that:
Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear equation.
------------------------
Equation of a line:
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
------------------------
Finding the slope:
Given two points (x,y), the slope is given by change in y divided by change in x.
Points (3,6) and (5,12)Change in y: 12 - 6 = 6Change in x: 5 - 3 = 2Slope: [tex]m = \frac{6}{2} = 3[/tex]Thus:
[tex]y = 3x + b[/tex]
------------------------
To find the y-intercept, we replace one of the points into the equation. I will replace (3,6). Thus:
[tex]6 = 3(3) + b[/tex]
[tex]b = 6 - 9 = -3[/tex]
Thus, the equation of the line is:
[tex]y = 3x - 3[/tex]
------------------------
Is (4,8) a solution of the same linear equation?
We have to replace x by 4 and y by 8, and see if it results in an identity. So
[tex]8 = 3(4) - 3[/tex]
[tex]8 = 12 - 3[/tex]
[tex]8 \neq 9[/tex]
Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear equation.
A similar problem is given at https://brainly.com/question/16024991
Today, the members of the cabinet Group of answer choices are an informal group of presidential advisers. are limited to the heads of the fifteen executive departments. include fourteen department secretaries and the attorney general, plus other top officials chosen by the president. include only the heads of the Departments of State, Justice, Defense, and Treasury, plus the heads of the EPA, CIA, and FBI. are a subset of any six executive department heads, chosen by the president.
Answer:
include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.
Step-by-step explanation:
The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.
It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.
sam leases a car for 24 months. the car will cost him $7,000 if he decides to buy it at the end of the lease. What term describes the $7,000
Answer:
Residual value
Find the value of ( 1+cosA) (1-cosA)
Answer:
sin^2 A
Step-by-step explanation:
first expand the trigonometry
1(1-cosA)+cosA(1-cosA)
=1-cosA+cosA-cos^2 A
= 1-cos^2 A
from trigonometric identity sin^2 A + cos^2 A= 1
sin^2 A= 1- cos^2 A
=sin^2 A
a cylinder with radius 7 and height 4 is in table,then find its volume?
Answer:
V = ≈615.75
Step-by-step explanation:
hopefully that helped
a store charges 25 cents for each ruler and 5 cents for each penicl that it sells. if sarah bought r, rulers and p penicls from the store, which of the following repersents the amount, in cents, that the store charged her?
Answer:
Total=(0.25(p))+(0.05(r))
replace the letter value with the # of items and solve using equation
If you know the answer can you please walk me through how you got it.
Answer: Choice B
1 & 3/4
=============================================
Explanation:
Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.
Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.
We'll divide the numerators 7 and 4 to get
7/4 = (4+3)/4
7/4 = (4/4) + (3/4)
7/4 = 1 + (3/4)
7/4 = 1 & 3/4
Meg can get 1 & 3/4 servings from the jug.
Pls answer my question ty ;)
Answer:
x=11
Step-by-step explanation:
5x+7=62
5x=62-7
5x=55
x=11
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
A = 79°
Step-by-step explanation:
CosA = adjacent ÷ hypoteneous
A = Cos^-1(6÷32)
A. =. 79.19°
A= 79°
Find the area of the shape shown below.
this is on khan academy
Answer:
42 units^2
Step-by-step explanation:
Break this into a rectangle and a triangle
The rectangle is 12 by 1
A = l*w = 12*1 =12
The triangle has a base of 6-1 =5 and a height of 12
A = 1/2 bh = 1/2 (5)*12 = 30
Add the areas together
12+30 =42
Answer:
[tex]42 \: {units}^{2} [/tex]
Step-by-step explanation:
First divide the shape into triangle and a rectangle
then find the Area of the triangle and the rectangle separately
Area of the rectangle
[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]
Area of the triangle
[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]
Area of the shape
[tex]12 + 30 = 42 \: {units}^{2} [/tex]
The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used
Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
Tommy started a business in the year 1991. He got $44,000 profit in the first year. Each year his
profit decreased by 3%. Identify an exponential decay model to represent his decreasing annual
profit in the business?
Answer= decreasing annual profit in the business
are $13200.
Answer:
[tex]P = 44,000(.97)^{t}[/tex]
P=Profit
t=years
Step-by-step explanation:
[tex]P = 44,000(.97)^{t}[/tex]
P=Profit
t=years
For which of the following intervals is the graph decreasing?
O A. -2
OB.-4
C. -8 < X <-5
OD. 6
Which two repeating decimals are equivalent to 10/11 A b c or D
Answer:
I think it is 0.909090909090. Hope this helped.
Step-by-step explanation:
If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)
Answer:
8.1 = LM
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
13 * 5 = LM^2
65 = LM^2
sqrt(65) = LM
8.06225 = LM
To one decimal place
8.1 = LM
Select all sets in which the number - 12 is an element.
A. real numbers
B. whole numbers
C. integers
D. irrational numbers
E. natural numbers
F. rational numbers
Help plz
real numbers, integers, rational numbers
=========================================================
Explanation:
So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.
So that's why -12 is a real number.
Choice A is one of the answers
---------------
The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values
{..., -3, -2, -1, 0, 1, 2, 3, ...}
That makes -12 an integer
Choice C is one of the answers
----------------
The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1
This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.
------------------
We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.
The requried, -12 is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
Here,
Only sets that consist of negative values are, real numbers, integers, and rational numbers.
So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.
Thus, the requried, -12 is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.
Learn more about the number system here:
https://brainly.com/question/22046046
#SPJ2
0.3 (4 - x) =x - 1.4
Answer:
x = 2
Step-by-step explanation:
0.3 (4 - x) = x - 1.4
1.2 - 0.3x = x - 1.4
-0.3x - x = -1.4 - 1.2
-1.3x = -2.6
x = 2
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} 0,3(4-x)=x-1,4 \\\\1,2-0,3x=x-1,4 \\\\x+0,3x=1,2+1,4\\\\1,3x=2,6 \\\\\underline{x=2 \ \ \ \ \ \ \ } \\\\0,3(4-2)=2-1,4 \\\\2\cdot 0,3=0,6 \\\\0,6=0,6[/tex]
What is the equation of a line that passes through the point (5,3) and has a slope of -2?
Answer:
y = -2x +13
Step-by-step explanation:
you know the point is (5,3) and slope is -2
sub into the linear equation y=mx+b
3 = -2(5) +b
rearrange and solve for b
b= 3 + 10
b = 13
Convert 7.5 gallons to quarts using a unit multiplier.
Answer:
7.5 Imperial Gallons = 30 Imperial Quarts
Hi there!
»»————- ★ ————-««
I believe your answer is:
30 qt.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
There are 4 quarts in a gallon.7.5 * 4 = 30
7.5 gal. = 30 qt.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
NEED HELP ASAP!
Slove for x.
A.4
B.10
C.8
D.7
i think it 10 because the angle your looking at is x is 7
Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -3?
the answer to this question is the slope is 43
Answer:
Therefore, the slope is 3/4
Step-by-step explanation:
An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)
Likewise, an
y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)
Now we have two points(4,0) (0,-3)
To find the slope given two points, we use the formula
rise÷run , or y2−y1÷x2−x1 .
Plug in the given points into the formula
-3-0/0-4
-3/-4
3/4
Therefore, the slope is 3/4
Hope this helps!
02:Posttest 2: Fractions
6.
Order the numbers from least to greatest.
63
11
3
3
80 5 20
35
Prove hat the ditance between any two points inside triangle ABC is not greater than half the perimeter of ABC
Answer:
It is not because the half the perimeter is not only one side but another half side of the triangle, and the distence between two points in a triangle can never become longer then the length of one side.
Step-by-step explanation:
The math part I am unsure of because you did say prove but let me know if this helps. Thanks!
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent
The question given is incomplete as the information about the headphones isn't given.
However, we can solve the problem by using hypothetical values.
Answer:
Kindly check explanation
Step-by-step explanation:
Given
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.
Let :
The number of defective headphones = 10
The total number of headphones on the sample = 50
To express as a ratio :
Defective headphones : total headphones
10 : 50 = 1 : 5
To express as a percentage ;
1 / 5 * 100% = 20%
Given that h(x) = - (x - 1)^2 - 1, write an expression for f(x) in terms of x.
f(x) =
Answer: f(x) = -(x-1)^2+5
Explanation:
f(x) = h(x) + 6
f(x) = -(x-1)^2 - 1 + 6
f(x) = -(x-1)^2+5
Must click thanks and mark brainliest
f(4) = ______
If g(x) = 2, x = _____
Answer:
-11
0
Step-by-step explanation:
Please help quick pleaseeeeeeeeeeee
Answer:
think this one
Step-by-step explanation:
the answers there
i think
In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly $3$ times
Answer:
In agreement to your twister question, a spinner can randomly select whether they want to put an arm or a leg, meaning this choice is entirely upon them. The color choice is also independent, so spinners are allowed to choose freely, whichever color as well as limb they want to move in the game of twister.
See the attached image for step by step explanation of the final probability
If necessary, write in simplest radical form
Answer:
2*sqrt(5)
Step-by-step explanation:
By using Pythagoras theorem, we have
4^2+2^2=(the third side)^2
16+4=(the third side)^2
Third side=sqrt(20)=2*sqrt(5)
Find the slope and the y-intercept of the line.
- 3x - 4y= -20
Write your answers in simplest form.
Answer:
The slope is -3/4 and the y intercept is 5
Step-by-step explanation:
- 3x - 4y= -20
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Solve for y
Add 3x to each side
- 3x - 4y+3x=3x -20
-4y = 3x-20
Divide by -4
-4y/-4 = 3x/-4 -20/-4
y = -3/4 x+5
The slope is -3/4 and the y intercept is 5
Answer:
Slope: [tex]\displaystyle-\frac{3}{4}[/tex]
Y-intercept: 5
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
[tex]-3x-4y=-20[/tex]
To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating y.
Add 3x to both sides:
[tex]-3x-4y+3x=-20+3x\\-4y=3x-20[/tex]
Divide both sides by -4:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
Now, we can identify [tex]\displaystyle-\frac{3}{4}[/tex] to be in place of m, the slope, and 5 to be in place of b, the y-intercept. Here is a comparison:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
[tex]y=mx+b[/tex]
I hope this helps!
