Answer:
D. addition property of inequalityStep-by-step explanation:
Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6
From step 3;
-6x − 8 < -2
Michael got the step 4 by adding 8 to both sides of the inequality as shown;
-6x − 8 + 8 < -2 + 8
-6x < 6 (Step 4)
Since Michael added 8 to both sides of the inequality, the property that justifies the transition from step 3 to step 4 is the addition property of inequality. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.
3
The sum of two consecutive whole numbers is
91. What are the numbers?
Represent your numbers as follows.
X ⇒ first number
X + 1 ⇒ second number
Since their sum is 91, we have x + (x + 1) = 91.
Solving from here, simplify on the left side to get 2x + 1 = 91.
Subtract 1 from both sides to get 2x = 90.
Now divide both sides by 2 and x = 45.
So if x = 45, then x + 1 must be 46.
So our numbers are 45 and 46.
Answer:
5423875
Step-by-step explanation:
A softball has a diameter of 3.8in. How many softballs will fit inside of a storage unit that is 6 feet wide,10 feet wide, and 8 feet high?
Answer:
29090
Step-by-step explanation:
First of all, we will have to calculate the volumes of a soft ball and the volume of box.
Then we will divide the volume of box with volume of softball to find the number of balls that can be stored in the box.
Diameter of softball = 3.8 in
Radius of softball = 1.9 in = 0.158 ft
Volume of a sphere = [tex]\frac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow \dfrac{4}{3}\pi (0.158)^3=0.0165\ ft^3[/tex]
Volume of cuboid box = Length [tex]\times[/tex] Width [tex]\times[/tex] Height = 6 [tex]\times[/tex] 10 [tex]\times[/tex] 8 = 480 [tex]ft^3[/tex]
Number of softballs that can fit inside the storage = [tex]\frac{480}{0.0165}[/tex] = 29090
I feel dumb for this but can someone help me ¯\_(ツ)_/¯
7/8 greater than or less than 2/4
Answer:
greater than
Step-by-step explanation:
7/8 is greater than 4/8
two pens and one erasor cost Rs 35 and 3
pencils and four erasors cost rs 65 Find the
cost of pencil and erasor seperately pls submit it on paper
Answer:
write down the equations for each, add them then do some manipulation to get the pencil and erasors on one side
A model of a house has been drawn on a coordinate grid. One corner of the house has
been drawn at (6, 3). The drawing will be translated two units down and three units to the right. Where
will the same corner of the house be located?
A. (4, 6)
B. (6, 4)
C. (1, 9)
D. (9, 1)
Answer:
[tex]Point(9,1)[/tex]
Step-by-step explanation:
Given
Point: (6,3)
Required
Translate 2 units down and 3 units left
Taking the translation 1 after other
When a function is translated down, only the y axis is affected;
2 units down implies that, 2 be subtracted from the y value.
The function becomes
[tex]Point: (6, 3 - 2)[/tex]
[tex]Point: (6, 1)[/tex]
3 units right implies that, 3 be added tothe x value.
The function becomes
[tex]Point(3+6,1)[/tex]
[tex]Point(9,1)[/tex]
Hence;
Option D answers the question
hi please help, thank you!!
Answer:
-10
Step-by-step explanation:
a - b = 7 - (-3) = 7 + 3 = 10
--> | a - b | = 10
--> - | a - b | = -10
12. Michelle is selling her condo. She needs to make at least $42,000 from the sale so she can
make a down payment on a new house. If a 5.5% real estate commission is deducted, what is
the lowest offer Michelle should accept to get her down payment?
Answer:
Total amount she need = $44,444
Step-by-step explanation:
Given:
Amount Michelle needs = $42,000
Real state commission = 5.5%
Find:
Total amount she need
Computation:
Assume,
Total amount she need = x
So,
Real state commission = 0.055x
So,
x - 0.055x = 42000
x (0.945) = 42,000
x = 44,444 (Approx)
Total amount she need = $44,444
Olivia are two times as much salad as Reagan. If Reagan ate R salad, which equation can be used to find the amount of salad Olivia are, v?
================================================
Explanation:
r = amount of salad Reagan ate
v = amount of salad Olivia ate
"Olivia ate twice as much as Reagan", meaning
amount Olivia ate = 2*(amount Reagan ate)
v = 2*r
v = 2r
2r = v
(a−y)2+2y3 if a=2 and y=−3.
Answer: - 8
Step-by-step explanation:
(2-(-3)*2+2*(-3)*3
10-18
= - 8
Inbox me on fb with same username for further assistance
Variations question help please
Answer:
y = 156
Step-by-step explanation:
The equation for direct variation is
y = kx
65 = k*5
Divide each side by 5
65/5 = k
13 =k
The equation is y = 13x
Let x = 12
y = 13*12
y = 156
Anyone have a way to find the GCF faster? I’m in 7th grade btw
Answer:
yep
Step-by-step explanation:
60 and 72/2
30 and 36/2
15 and 18/3
5 and 6
Answer:
got you i dont see a picture so
Step-by-step expla nation:
18 and 12/6
30 and 36/2
15 and 18/3
80 and 8/8 thats just somehting simple
Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?
Answer:
Oriental and American cockroach
Step-by-step explanation:
The question is not complete. The complete question is:
The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?
Answer: From the question, the Australian cockroach is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.
If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:
3.432 cm 3.438 cm 3.576 cm 3.583 cm
Variations problem Help please
Answer:
9
Step-by-step explanation:
12-5=7 so...
2+7 = 9
y = 9
A water tank is 1•2m square and 1•35m deep. It is half full of water. How many times can a 9-litre bucket be filled from the tank
Answer:
180
Step-by-step explanation:
Volume = base * height(depth)
V=1.2*1.35=1.62 m³
1 m³=1000 liter
1.62*1000=1620 liter
1620/9=180 ( 9 liter bucket)
All of the following can be found on a political map EXCEPT:
a. boundaries
b. capital cities
C. major cities
d. highways
Please select the best answer from the choices provided
Answer:
A.
Step-by-step explanation:
jamal deposits 2,500 into each of two savings accounts.The first account has a 4% annual simple interest .Account two earns 5% annual simple interest.what is the sum of the account in 3 years?
Answer:
$5,675
Step-by-step explanation:
you would just take 4% and 5% of 2500 which is 100 and 125 and multiply them both by 3 which is 300 and 375 and add them both to the 2500 which is 2800 and 2875 and since it asks for the sum you would add then to get a total of $5,675
Measure of an angle is 11 times greater than its supplement
Answer:
SOLUTION: What is the measurement of the supplement if the measure of the angle is eleven times greater than its supplement? Question 654443: What is the measurement of the supplement if the measure of the angle is eleven times greater than its supplement? So the angle is 165 degrees and the supplement is 15 degrees.
Up and down represents_________ and left to right represents_________.
Answer:
y-axis and x-axis
Step-by-step explanation:
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $375 to drive 380 mi and in June it cost her $455 to drive 700 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
idk
Step-by-step explanation:
given directed line segment ab find the coordinates of p such thats the ratio of ap to pd is 2:1
Answer:
The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)
Step-by-step explanation:
The dimension of the graph can be taken as 1 box = 1 unit
Therefore;
The coordinates of the point A = (-2, -7)
The coordinates of the point B = (1, 8)
For the a point P that gives the ratio AP to PB = 2:1 is given as follows;
The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB
Which gives;
The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))
P = (0, 3)
Therefore;
The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).
Your friend drew the diagram below to prove to you that two planes can intersect in exactly one point. Describe your friend's error.
A plane extends infinitely in two-dimension and it does not have a boundary
The error is in designating rectangles which are bounded planar shape as an whole plane
The reason for the error stated above is as follows:
Missing part of question: The drawing of the question that appear missing is attached
The definition of a plane in mathematics is an infinitely long and wide two-dimensional surface that has no thickness and which is defined by either;
Three non-colinear pointsTwo parallel and distinct linesTwo intersecting and distinct linesA point and a line not passing through the pointThe given figure is the diagram of two rectangles which are planar shapes enclosed by four straight line boundaries each of which are located in their respective planes that extends infinitely and are not entire planes by themselves
Therefore, the error is that a bounded planar figure is taken as being an infinite plane
Learn more about dots, lines, and planes here:
https://brainly.com/question/13180616
Anam is thinking of a prime number it is between 40 to 60 the differnce between is digit is 3 what prime number is anum thinking of?
Answer:There are two possible answers. 41 and 47
Step-by-step explanation: These both have a difference of 3 between the digits. Other prime numbers between 40 and 60: 43, 53, 57, 59 have differences of 1, 2, and 4.
Simplify the expression:
(12x - 3+ 2x) + (5 + 3x? - 2x)
Helppp and how do did u simply it!!
Answer:
20[tex]x^{2}[/tex] + 109x -15
Step-by-step explanation:
12x * 5 = 60x
12x * 3x = 36x
12x * -2x= -24[tex]x^{2}[/tex]
-3 * 5 = -15
-3 * 3x = -9x
-3 * -2x = 6x
2x * 5 = 10x
2x * 3x =6x
2x * -2x= -4[tex]x^{2}[/tex]
60x + 36x -9x + 6x + 10x + 6x = 109x
24[tex]x^{2}[/tex] - 4
-15
Hope this helpss
Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
O 3
07
O 16
O 48
please help!!
kinda disrespectful someone didn't answer this but anyway..
Without an explanation your answer is 7
W/ an explanation:
___________________________________
7 should be removed from the list because all the other numbers can multiply to 48
1 x 48 ✔
2 x 24 ✔
3 x 16 ✔
4 x 12 ✔
6 x 8 ✔
7 x ? ❌
Thus, 7 is left with nothing to multiply by besides itself which would give you 47 but the number we have the list of is 48. So 7 is your number to remove from the list.
At the end of a dice game, James has -5 points and Richard has 15 points. What is the difference in their scores? A. -20 B. 10 C. 20 D. -10
C) 20 points
Step-by-step explanation:James - 5
Richard + 15
What is the difference in their scores ?
+ 15 - (- 5) =
= 15 + 5
= 20 points
Answer:
a is the answer because the question had said that to find out the difference
PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!
Answer:
1/2
Step-by-step explanation:
from one point to another it goes up 1 and over two. so rise over run, 1 over 2
Answer:
1/2 or .5
Step-by-step explanation:
to find slope of a line, you can count the rise, or fall, of a line over its left and right direction. the line rises one and to the right 2 between each point, which makes the slope 1/2. we know the slope is positive because the line moves upwards.
Suppose you see a lightning flash and hear a thunder clap exactly 10 seconds later. The speed of sound is 1080 feet per second and there are 5280 feet in a mile. Estimate, to the nearest half mile, how many miles you are from the lightning flash. Assume the speed of light is infinite.
Answer:
[tex]\approx 2\ miles[/tex]
Step-by-step explanation:
Difference of 10 seconds between the lightning flash and its thunder clap.
Given that the speed of light is infinite.
So, lightning will be seen at the same time it happens.
10 seconds is the time taken by the sound to reach to the person.
Time taken = 10 seconds
Speed of sound = 1080 ft/sec
To find:
Distance from lightning flash in miles.
Solution:
First of all, let us a have a look at the formula:
[tex]Distance = Speed \times Time[/tex]
Putting the given values:
Distance = [tex]1080\times 10 = 108000\ feet[/tex]
5280 feet = 1 mile
1 feet = [tex]\frac{1}{5280}[/tex] miles
10800 feet = [tex]\frac{1}{5280}\times 10800 \approx 2\ miles[/tex]
step by step instructions please
I hope this helps you...
i don’t think a is the correct answer. the dependent variable