Answer:
4 dollars a pound
Step-by-step explanation:
4x 10 = 40
56 : 16 kg rate in the lowest term
Answer:
Step-by-step explanation:
56 divided by 15 equals 3.5, so it's 3.5:1
Line 1: 4x-6y= -6 Line 2: -3y=2x+5 Line 3: y= -3/2x-5 Are line 1 and 2: parallel, perpendicular, or neither? Are line 1 and 3: parallel, perpendicular, or neither? Are line 2 and 3: parallel, perpendicular, or neither?
Answer:
Line 1 and line 2 are neither parallel nor perpendicular
Line 1 and 3 are perpendicular to each other
Line 2 and line 3 are neither parallel nor perpendicular
Step-by-step explanation
Given the equations of the line
Line 1: 4x-6y= -6
Line 2: -3y=2x+5
Line 3: y= -3/2x-5
Before we can know which line is parallel or perpendicular to each other, we need to find their slope first
For line 1:
4x-6y= -6
Write in standard form y = mx+c
-6y = -4x - 6
Divide through by -6
-6y/-6 = -4x/-6 - 6/-6
y = 2/3 x + 1
The slope of line 1 is 2/3
For line 2:
-3y=2x+5
Divide through by -3
-3y/-3 =2x/-3 + 5/-3
y = -2/3 x - 5/3
The slope of this line is -2/3
For line 3:
y= -3/2x-5
this is already written in standard format. The slope of this line is -3/2
Note that for two lines to be parallel, they must have the same slope
For two lines to be perpendicular, the product of their slope must be -1
For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.
For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
ind an expression for the nth term (t_n) in each of the following
[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \ frac{1}{n}}}[/tex]
Step-by-step explanation:A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,
[tex]\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}[/tex]
When we flip the numbers , we can clearly see that the number are in Harmonic Progression.
That is when we flip the numbers they are found to be in Arithmetic Progression .
And nth term of an Harmonic Progression is :-
[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}[/tex]
Hence here
Common difference = 1First term = 1 .Substituting the respective values,
[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]
Hence the nth term of the given sequence is given by ¹/n .Answer: 1
Step-by-step explanation:
-3p = -48
What does p equal
Answer:
p=16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
[tex] - 3p = - 48 \\ \\ p = \frac{ - 48}{ - 3} \\ \\ p = 16[/tex]
Simplify 4x4-6x2+4-2x4+7x-10.
Answer:
7x-10
Step-by-step explanation:
Last month, Carly paid a gas and electric bill that totaled $150. The gas portion of the bill was $30. What percent of the bill did Carly pay towards her gas? (Hint: Write a proportion and remember what percents start as!) *
30%
20%
150%
45%
ILL GIVE BRAINLYIST
Answer:
I believe its 45%
Step-by-step explanation:
Mr. Garza is buying a new lawnmower. The lawnmower sells for $235.75. Sales tax is 8%. What is the total price do the lawnmower including the tax?
What is the slope of the line?
Answer:
y= -x-2
Step-by-step explanation:
14 hours 40 minutes ÷ 5?
Answer:
112 seconds
Step-by-step explanation:
According to my calculations girl here to tell you how.
40*14=560
560/5=112
if 14 is hours and 40 is minutes, multiplying and dividing by five gives you
*DRAMATIC MUSIC*
112 seconds
Answer:
176 minutes
Step-by-step explanation:
14 hours equals 840minutes + 40 minutes = 880 minutes
880/5=176
given f(x) = -3x - 1, solve for f(x)= -4
Answer:
its 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
x= -4
f(x)= -4
f(-4)= -3(-4) -1
=11
‼️‼️‼️ please help fast ‼️‼️‼️
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i believe the answer is either A or D
Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and
express the result in standard form.
Answer:
(f - g)(x) = x² + 12x + 26
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
f(x) = x² + 12x + 32
g(x) = 2 + 4
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = x² + 12x + 32 - (2 + 4)Combine like terms: (f - g)(x) = x² + 12x + 32 - 6Combine like terms: (f - g)(x) = x² + 12x + 263x +y = -2x+8
-3x+2y=-10
If (x,y) is a solution to the system of equations
above, what is the value of xy?
a) -16
b) -8
c) -4
d) 4
Answer: c) -4
Step-by-step explanation:
Get the variables on one side of 3x+y=-2x+8 and the constants on another side:
3x+y=-2x+8
(3x+y)+2x=(-2x+8)+2x
5x+y=8
Now, multiply 5x+y=8 by -2:
-2(5x+y=8)
-10x-2y=-16
Add this equation to -3x+2y=-10:
(-10x-2y=-16)+(-3x+2y=-10)
-13x=-26
x=2
Plug x=2 into -3x+2y=-10:
-3(2)+2y=-10
-6+2y=-10
2y=-4
y=-2
Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4
what is the length of a line segment with endpoints (3,-6) and (-2,6) ?
Answer:
13
Step-by-step explanation:
15y+3=36
Y=?/?
It’s asking for y in a fraction
Answer:
y = 33 / 15 = 11 /5
Step-by-step explanation:
subtract 3 from both sides,
15y = 33
divide 15 from both sides
y = 33/15
simplify ( divide top and bottom by 3)
y = 11/5
On a 4 sided dice what is the probability that a 1 was rolled?
Answer (round) to the hundredth place value.
Given:
A 4 sided dice is rolled.
To find:
The probability of getting 1.
Solution:
A 4 sided dice is rolled.
On a 4 sided dice, the possible outputs are 1,2,3,4.
Total number of outcomes = 4
Favorable outcomes or number of 1 = 1
Now,
[tex]\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]\text{Probability of getting 1}=\dfrac{1}{4}[/tex]
[tex]\text{Probability of getting 1}=0.25[/tex]
Therefore, the probability of getting 1 is 0.25.
What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?
A. O y=-3x+
B. O y = 2x - 3
CO y = 2x
DO y = 2x + 3
Answer:
The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:
[tex]y=2x+3[/tex]
Hence, option D is true.
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the equation
y = 2x - 1
comparing with the slope-intercept form y = mx+b
Hence, the slope of the line y = 2x - 1 is: m = 2
We know that the parallel lines have the same slopes.
Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = 2 and the point (-1, 1)
[tex]y-1=2\left(x-\left(-1\right)\right)[/tex]
[tex]y-1=2\left(x+1\right)[/tex]
Add 1 to both sides
[tex]y-1+1=2\left(x+1\right)+1[/tex]
Simplify
[tex]y=2x+3[/tex]
Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:
[tex]y=2x+3[/tex]
Hence, option D is true.
someone plssss helppppp i need it finished in like 20 min plsss help
Answer:
number of guest tickets, g, is 100 tickets
number of student tickets, s, is 125 tickets
Step-by-step explanation:
Given;
total number of tickets sold, t = 225 tickets
cost of each guest ticket, = $5.5
cost of each student ticket, = $3.5
total cost of the tickets, Tc = $987.5
number of guest tickets = g
number of student tickets, = s
g(5.5) + s(3.5) = 987.5 ------- (1)
g + s = 225 ----------- (2)
From equation (2); s = 225 - g
Substitute the value of g in equation (1)
5.5g + 3.5(225 - g) = 987.5
5.5g + 787.5 - 3.5g = 987.5
5.5g - 3.5g = 987.5 - 787.5
2g = 200
g = 200 / 2
g = 100 tickets
Then, s = 225 - g
s = 225 - 100
s = 125 tickets
12x+9y=-36 4x+3y=-12 graphed
Answer:
graph attached
Step-by-step explanation:
12x+9y=-36
(12x+9y)/3=-36/3
4x+3y=-12
2 functions has the same value, they are identical line
In May 2007, the price of crude oil was at 61$ per barrel. A year later it was at 126$ per barrel. So ,If the price of the oil continued to climb at this rate , will barrel 1 have cost more than 200$ in December 2008? answer using ax+by=c
Answer:
Yes, it will cost $204.30.
Step-by-step explanation:
Given that in May 2007 the price of a barrel of crude oil was $ 61, and a year later it rose to $ 126, to determine the rate of increase we must perform the following calculation:
61 = 100
126 = X
(126 x 100) / 61 = X
206.55 = X
206.55 - 100 = 106.55
Therefore, a barrel of crude oil rose 106.55% in one year, which implies a rise of 8.87% per month (106.55 / 8.87). Given that December is 7 months apart, maintaining this average increase, the price of a barrel of crude oil in December 2008 arises from the following calculation:
8.87 x 7 = 62.15
126 x 1.6215 = 204.30
Therefore, maintaining this average increase, as of December 2008 a barrel of crude oil will cost $ 204.30.
Solve the compound inequality and show your solution.
2(x – 14) – x < 7(x + 2) + x ≤ x + 70
Answer:
-6 x less than or equal to 8
Step-by-step explanation:
The scale on a map reads
1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between the cities
Answer:
The actual distance between cities = 345 miles
Step-by-step explanation:
Given that:
Scale on map is
1/2 inch = 30 miles
0.5 inch = 30 miles
Distance between two cities on map = [tex]5\frac{3}{4}[/tex] = [tex]\frac{23}{4}[/tex] = 5.75 inches
Actual distance = x
As the relationship is proportional
0.5 : 30 :: 5.75 : x
Product of mean = Product of extreme
30*5.75 = 0.5x
172.5 = 0.5x
0.5x = 172.5
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345[/tex]
Hence,
The actual distance between cities = 345 miles
Marie made the box plot below to display a set of dataWhich set of data could the box plot represent?
Answer: 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35
Step-by-step explanation: i took the diagnostic
Answer:
5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35
Step-by-step explanation:
please help me with this. i don't understand it.
Answer:
A. 11160 cubes B. 1395cm^3
Step-by-step explanation:
Volume= length x width x height
Its easiest to solve B. first and use it to solve A.
B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)
A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)
1395 ÷ 1/8 = 11160
Answer:
Step-by-step explanation:
1) Rectangular prism: l = 7.5 cm ; w = 12 cm ; h = 15.5cm
Volume of rectangular prism = l * w * h
Cubes: edge = 0.5cm
Volume of cube = edge *edge * edge
Number of cubes = Volume of rectangular prism ÷ Volume of a cube
[tex]=\frac{7.5 * 12 * 15.5}{0.5*0.5*0.5}\\\\ = \frac{7.5 * 12 * 15.5*1000}{0.5 *0.5 *0.5 *1000}\\\\= \frac{75 * 12 *155 * 10}{5 * 5 * 5}\\\\= 3 * 12 * 31 * 10\\\\= 11160[/tex]
11160 cubes will fit in the prism.
2) Volume of prism = 7.5 * 12 * 15.5
= 1395 cm³
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 10 ÷ 5 and 5 ÷ 10
Answer:
no, its not equivalent
Step-by-step explanation:
10/5= 2
5/10=0.5
What is the volume of the rectangular prism?
Height : 3 1/2
Length : 4
Width : 5 1/4
Answer: 600m
Step-by-step explanation: i didnt know if you wanted meters or feet or sum else so i just did that
The function V(x)=650(0.77)^x models the change in yearly value for Anya's cellphone. What was the original value of the cellphone? Does the function represent exponential growth or exponential decay?
Answer: ↓↓
Step-by-step explanation:
The original value of the cellphone is $650. The function represents an exponential decay because if it was exponential growth, the function would look like this:
[tex]V (x) = 650 (1.77)^{x}[/tex]
What is the equation for the line of reflection?
A. x=6
B. y=6
C. y=x
D. y=2
Answer:
A: x=6
Step-by-step explanation:
Mariah drank 2/3 cup of orange juice. A serving size of is 5/6 cup. What part of a serving did she drink?
Answer:
80% of a serving
Step-by-step explanation:
First, convert 2/3 into 6ths
2/3 = 4/6
She drank 4 of 5 6ths
This is 80% of a serving
*
8. Determine the rate of change (slope) in the graph
Answer:
Step-by-step explanation:
2 calculate rise over run