Answer:
The 12-pound bag of dog food.
Step-by-step explanation:
To find out which is the better buy you start by divinging 10.80 by 12 and then you divide 10.20 by 8 and you get .90 cents for the 12 pound while you get 1.275 dollars. Which means the 12 pound bag is the better by because it is less money per pound than the 8 pound bag.
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8. Determine the rate of change (slope) in the graph
Answer:
Step-by-step explanation:
2 calculate rise over run
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
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:
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
Simplify 4x4-6x2+4-2x4+7x-10.
Answer:
7x-10
Step-by-step explanation:
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]
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
‼️‼️‼️ please help fast ‼️‼️‼️
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i believe the answer is either A or D
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
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
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
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
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
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?
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.
what is the length of a line segment with endpoints (3,-6) and (-2,6) ?
Answer:
13
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:
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
3x +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
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
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 = $987.5
number of guest tickets = g
number of student tickets, = s
g(5.5) + s(3.5) = 987.5 ------- (1)
g + s = 225 ----------- (2)
From equation (2); s = 225 - g
Substitute the value of g in equation (1)
5.5g + 3.5(225 - g) = 987.5
5.5g + 787.5 - 3.5g = 987.5
5.5g - 3.5g = 987.5 - 787.5
2g = 200
g = 200 / 2
g = 100 tickets
Then, s = 225 - g
s = 225 - 100
s = 125 tickets
In May 2007, the price of crude oil was at 61$ 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.
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:
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 + 26What is the slope of the line?
Answer:
y= -x-2
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
-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]