Answer:
The simplified expression is: 12(7m - 6n)
Step-by-step explanation:
Greatest common factor between 84 and 72
We keep dividing 84 and 72, while they can be divided by the same factor. So
84 - 72| 2
42 - 36|2
21 - 18|3
7 - 6
So the greatest common factor is 2*2*3 = 12.
Rewrite 84m - 72n as a product of two factors
Evidencing 12
[tex]84m - 72n = 12(\frac{84m}{12} - \frac{72n}{12}) = 12(7m - 6n)[/tex]
expression px2. p=3,×=4
Answer:
px^2= (3)4= 12^2= 144
Step-by-step explanation:
The red crewmate is dilated with the origin as the center of dilation to create the new red crewmate. Which rule best represents the dilation that has been applied to the red crewmate?
Answer:
Step-by-step explanation:
Suppose a researcher compiled a data set consisting of the following variables for a sample of 200 women. For each variable, select whether it is discrete or continuous.
Variable Discrete Continuous
The number of college football games ever attended
The number of sons or daughters
The number of countries ever visited
Pounds of chocolate consumed in the past year
Shoe size
Height in inches
The number of pets currently living in the household
Answer:
Selecting whether each variable is discrete or continuous:
Discrete Variables:
The number of college football games ever attended
The number of sons or daughters
The number of countries ever visited
The number of pets currently living in the household
Continuous variables:
Pounds of chocolate consumed in the past year
Shoe size
Height in inches
Step-by-step explanation:
The researcher can distinguish a discrete variable from a continuous variable by checking if the value of the variable can be counted or measured. The researcher can count the value of a discrete variable, and she can measure the value of a continuous variable. In other words, a discrete variable represents countable objects and a continuous variable represents measurable amounts.
Using variable concepts, we have that the discrete variables are:
The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the householdThe continuous variables are:
Pounds of chocolate consumed in the past year.Shoe size.Height in inches.What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...The variables that are countable, that is, discrete, are:
The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the householdThe ones that can assume decimal values, hence being continuous are:
Pounds of chocolate consumed in the past year.Shoe size.Height in inches.You can learn more about continuous and discrete variables at brainly.com/question/16978770
PLEASE HELP ME. The dot on this number line represents Kelsies debt. Which statement accurately describes her debt?
Answer:
Kelsie's debt is less than 20$
Step-by-step explanation:
Find the value of 9x + 4y, when x = 4 and y=-3.
Answer:
the answer for this question is 24
Explain why the two figures below are similar?
Answer:
6ix9ine
Step-by-step explanation:
some PLEASE help I need it done in 18 minutes
Answer:
area: 9
perimeter: 12
Step-by-step explanation:
Answer:
i gotchu
u=4a (equation for perimiter)
u=12
perimeter is 12
a=a2 (equation for area)
a=9
area is 9
:)
PLEASE PLEASE HELP PLEASE
Answer:
x = -3
Step-by-step explanation:
2(4x + 6) = 8x + 12
3(x - 1) = 3x -3
8x + 12 = 3x - 3
5x = -15
x = -3
Answer:
x=-3
Step-by-step explanation:
2(4x+6)=3(x-1)
8x+12=3(x-1)
8x-3x+12= -3
8x-3x=-3-12
5x=-3-12
5x=-15
x=-3
Answer plzzzzzzzzzzzzHere's a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form. Enter the correct answer.
Which relations are functions?
A
x
y
-2
-4
-2 -6
0
-8
2
-10
B
x
y
0
4
10 5
20
6
10
7
C
x
y
2
-10
1 -20
0
-10
-1
-20
D
x
y
2.5
0
3.5 4
4.5
8
6.5
12
E
x
y
-10
4
-20 5
0
6
-10
7
Answer:
A. Relation
B. Relation
C. Function
D. Function
E. Relation
*HELP I will mark brainliest*
A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.
Answer:
i think it is number 1
Step-by-step explanation:
ELE HOME 19. Which expression is equivalent to (7 x m) + 5? O A7(m + 5) O B7 + 5m O C 5+ (m x 7) O D 5- (7 x m)
Answer:
?
Step-by-step explanation:
The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an area of 100 cm??
helppp!!
Answer:
[tex]\huge\boxed{1000 \ \text{cm}^3}[/tex]
Step-by-step explanation:
There are two ways we can solve this equation.
A) Using the formula providedThe formula provided states that the volume of a cube based on the area of one of it's faces will be [tex]a^{\frac{3}{2}}[/tex], a the area of one face. Since we know the area of one face, we can substitute that inside the equation.
[tex]100^{\frac{3}{2}}[/tex]
It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.
So - [tex]100^{\frac{3}{2}}[/tex] becomes [tex]\sqrt{100^3}[/tex]
[tex]100^3=1000000[/tex] [tex]\sqrt{1000000}=1000[/tex]Therefore, the volume of this cube will be [tex]1000 \ \text{cm}^3[/tex]
B) Using prior knowledge about cubesWe can additionally use prior knowledge to find the volume of this cube.
We know that the area of a square will be [tex]s^2[/tex], where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is [tex]s^3[/tex].
Since we know that one face is 100, we can make an equation - [tex]s^2=100[/tex]
[tex]\sqrt{s^2}=\sqrt{100}[/tex] [tex]s=10[/tex]Now that we know the value of s, we can plug it into the volume formula, [tex]s^3[/tex].
[tex]10^3[/tex] [tex]10 \cdot 10 \cdot 10[/tex] [tex]1000[/tex]So the volume is [tex]1000 \ \text{cm}^3[/tex].
Hope this helped!
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and standard deviation 2.60. What is the probability of randomly selecting a rod that is shorter than 22 cm
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
Step(i):-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22
[tex]Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15[/tex]
Step(ii):-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded month. What is the amount in the account at the end of the second month?
Answer:
I= P+ I= 7201x6x2/100 = 84,252/100 = $842.52
Which statement is true. All rhombuses are similar. B all rectangles are similar l. C all isosceles trapezoid are similar. D all isosceles right triangles are similar
Answer:
I think the answer is "All rhombuses are similar."
Step-by-step explanation:
7 x 8 x 3 =_ x 3 = _+_+_+_=
Answer:
7 x 8 x 3 = 56 x 3 = 56 + 56 +56 = 168
Step-by-step explanation:
I need help plz help thy.
First answer get brainiest
Hello!
[tex]\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}[/tex]
We can go through each equation to solve:
1.
x + 3 = 4(x - 1) + 2
Distribute the coefficient outside of the parenthesis:
x + 3 = 4(x) + 4(-1) + 2
Simplify:
x + 3 = 4x - 4 + 2
x + 3 = 4x - 2
Subtract x from both sides:
3 = 3x - 2
Add 2 to both sides:
5 = 3x
Divide both sides by 3:
5/3 = x. This is not the answer.
2.
2x - 8 = 7 - 3x
Add 3x to both sides:
5x - 8 = 7
Add 8 to both sides:
5x = 15
Divide both sides by 5:
5x/5 = 15/5
x = 3. This is an answer.
3.
3(x + 2) = 14 - x
Distribute:
3(x) + 3(2) = 14 - x
3x + 6 = 14 - x
Add x to both sides:
4x + 6 = 14
Subtract 6 from both sides:
4x = 8
Divide both sides by 4:
4x/4 = 8/4
x = 2. This is not an answer.
4.
4(x - 1) = x + 5
Distribute:
4x - 4 = x + 5
Subtract x from both sides:
3x - 4 = 5
Add 4 to both sides:
3x = 9
Divide both sides by 3:
3x/3 = 9/3
x = 3. This is an answer.
5.
5 - 2(x + 1) = x
Distribute:
5 - 2x - 2 = x
Simplify:
3 - 2x = x
Add 2x to both sides:
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1. This is not an answer.
6.
6(x - 4) = 2x
Distribute:
6x - 24 = 2x
Subtract 6x from both sides:
-24 = -4x
Divide both sides by -4:
-24/(-4) = -4x/(-4)
x = 6. This is not an answer.
Answer:
2x - 8 = 7 - 3x
4(x -1) = x + 5
Step-by-step explanation:
2) 2x - 8 = 7 - 3x
2x + 3x - 8 = 7
5x - 8 = 7
5x = 7 + 8
5x = 15
x = 15/5
x = 3
4) 4(x -1) = x + 5
4x - 4 = x + 5
4x - 4 - x = 5
3x - 4 = 5
3x = 5 + 4
3x = 9
x = 9/3
x = 3
Lin's family has traveled 25 miles which is only 20% of the trip.
How far is the whole trip?
a.
5 miles
c. 100 miles
b.
125 miles
d. 250 miles
Please hurry
Answer: 125 miles
Step-by-step explanation:
We know that 25 miles is 20% of the trip.
20% is 1/5 of 100, so that means we will multiply the number of miles driven by the denominator of the fraction.
25 × 5 = 125 miles
The answer to the question is 125 miles.
how to write 28 divided by 7 as an expression
Answer:
28/7
Step-by-step explanation:
help I need help pleaseee
Answer:
The perimeter of a rectangle is the sum of twice the length and twice the width. If the perimeter is at least 48 cm, then the minimum perimeter is 48 cm.
Let width = x
Let length = x + 4
Perimeter = 48
We can set an inequality for perimeter using the variables.
2x + 2(x + 4) ≥ 48
Solve for x.
2x + 2x + 8 ≥ 48
4x + 8 ≥ 48
4x ≥ 40
x ≥ 10
Substitute this value of x into the variable to get your width and length.
width = 10 cm
length = 14 cm
Step-by-step explanation:
hope it helps
The diagram shows a triangle
Show working out plz:)
Answer:
30cm^2
Step-by-step explanation:
what would w equal?
Answer:
120
Step-by-step explanation:
It's NOT 100.
similar shapes have the same angles
so angle "D" is equal to angle "G"
Please help! I'll give the brainiest.
m∠1+m∠2+m∠3=180°
Step-by-step explanation:
Jarad scored 18 points at a basketball game if the final score 60 points what percentage of the final score was jarad
Answer:
30%
Step-by-step explanation:
At a certain store volleyballs with a radius of 4 inches are sold in boxes in the shape of a cube. What is the volume of the smallest box that can hold a
Answer:
512 cube inches
Step-by-step explanation:
The radius of volleyballs is 4 inches, thus;
diameter of the balls = 2 x radius
= 2 x 4
= 8
The diameter of each ball is 8 inches.
Since the box has the shape of a cube, the smallest box that can hold a volleyball would have its dimensions equal to the diameter of the balls.
So that for the cube,
length = width = height = 8 inches
volume of a cube = [tex]l^{3}[/tex]
volume of the smallest box = [tex]8^{3}[/tex]
= 512 cube inches
The volume of the smallest box that can hold a volleyball is 512 cube inches.
Plz HELP I NEED THIS ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?
Answer:
33%
Step-by-step explanation:
60-45=15
15/45=0.33
0.33x100=33%
If you eat 6 grapes per minute for 9 minutes, how many grapes will you eat?
Answer:
54 grapes
Step-by-step explanation:
6*9=54
A sand timer has 60 ounces of sand in it. Sand trickled down at a rate of 12 ounces every 6 seconds. How long will it take for all the sand to fall into the bottom? It will take seconds.
Answer:
30 sec.
Step-by-step explanation:
Hello, can you answer this for me
Steve's moms age is 7 years less than 3 times Steve's age. The sum of their ages is 65 years. Find their ages.
Answer:
Steve is 18 and and his mother is 47.
Step-by-step explanation:
if you add those numbers you'll get 65