The final statement is: The property of distribution is used in the given expression.
What is a distributive property in math?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)
Clearly 2 and z get distributed over (x+y)
We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms
Thus this is the distributive property of multiplication.
Hence, Distributive property is the correct option.
Learn more about distributive property here:
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Which is greater 15/27 or 16/24
Answer:
16/24
Step-by-step explanation:
let’s use the GCF of both which is 3 for 15/27
15/27 divided by 3 is 5/9
for 16/24 the gcf is 8
16/24 / 8 is 2/3
now we have to multiply 2/3 times 3
2/3 times 3 6/3 which is 2
so 16/24 is greater.
What is the shape of the cross section of the figure that is parallel to the triangular bases? A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answer:
AStep-by-step explanation:
a parallelogram that is not a rectangle
Hope this helpsAnswer:
A
Step-by-step explanation:
I did it on the quiz
I have finished the table but stuck in the question after...
Answer:
7/48
Step-by-step explanation:
there are 48 in total
there are 7 white females
7/48
11) Omar is flying a kite on a 50-foot string at a diagonal distance. The kite gets stuck at the top
of a 40-foot tree. How far is Omar from the tree?
Answer:
30 ft
Step-by-step explanation:
We have a right triangle.
Hypotenuse = c = 50 ft
Leg #1 = a = 40 ft
Leg#2 = b = ?
We need to use Pythagorean Theorem
c² = a² + b²
50² = 40² + b²
b² = 2500 -1600 = 900
b = 30
Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8
Answer:
-0.87 has the strongest linear relationship
Step-by-step explanation:
-0.87, since it is the closest value to either one or negative one,
0.8 is the second strongest
0.65 is the third strongest
-0.52 is the least strongest
pls i need the help.
Answer:
3. 16a+24b
Step-by-step explanation:
I know this because I grouped the eqatiobs together
Answer:
#3. 16a + 24b
Step-by-step explanation:
P= 2( length plus width).
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0
Answer:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
Use the elimination method to solve the system of equations
Answer:
D
Step-by-step explanation:
2x + 3y = 18
3x - 3y = 12
the 3y and -3y cancel and you add the other like terms
5x = 30
x = 6
plug x back into any of the equations
2(6) + 3y = 18
12 + 3y = 18
3y = 6
y = 2
answer is (6,2)
Can someone help me out, I'm having trouble on these two questions.
Answer:
Step-by-step explanation:
7,A=9*6sin30°
=54*0.5
A= 27
8,A=6*10sin60°
A= 60*0.86
A=52....... approximately
9, A=1/2bh
A=0.5*x*xroot 3
A=root3/2 x^2
You can find x using trigonometric values
What is the solution to the equation 1/4x +2= -5/8x - 5
Answer:
x = -8
Step-by-step explanation:
1/4x +2= -5/8x - 5
Add 5/8x to each side
1/4x +5/8x +2= -5/8x+5/8x - 5
1/4x+5/8x +2= - 5
Subtract 2 from each side
1/4x+5/8x +2-2= - 5-2
1/4x+5/8x = - 7
Get a common denominator
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7x * 7/8x = -7 *8/7
x = -8
Answer:
x=-8
Step-by-step explanation:
1/4x+2=-5/8x-5
find l.c.m=8
multiply through by l.c.m which is 8
x/4×8+2×8=-5x/8×8-5×8
2x+16=-5x-40
2x+5x=-40-16
7x=-56
divide both sides by 7
7x/7=-56/7
x=-8
If a ball is dropped, how long does it take to fall 60.0 m?
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
Answer:
It takes 3.498 seconds.
Step-by-step explanation:
To calculate free fall you must use the formula: h=1/2gt^2
What is the equation of the line that is perpendicular to the linear
graph of y= -2/3x+5 and passes through the point (0, -2)?
Answer:
y=3/2x-2
Step-by-step explanation:
gradient line 1= -2/3
perpendicular meaning gradients when multiplied should be -1
gradient line 2=3/2
y+2=3/2
x-0
y+2=3/2(x-0)
y+2=3/2x-0
y=3/2x-2
The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)
The standard equation of a line is y = mx+c, where m is the slope of the line.
We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,
Therefore, the slope of the asked line is 3/2.
Finding the c,
-2 = 3/2X0 + c
c = -2
Therefore, the equation will be,
y = 3x/2-2
Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2
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Jasmine draws a circle with a radius of 9x². What is the area of her circle?
Answer:
Look at the attachment
Terrell wrote that 5-4.2=8. Which statement about this answer is true?
Answer:
No.
Step-by-step explanation:
No. 5 - 4.2 = 0.8
Answer: 8 is wrong because a number gets smaller, not larger, when you take 4.2 from it.
Step-by-step explanation: I had this on my Imagine Math. The reason why this is wrong is because 5 – 4.2 doesn't not equal 8!Estimation might help. 5 doesn't need to be rounded. 4.2 is rounded to 4...5-4 = 1The Actual answer is actually 0.8.I hope this helps :)
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Four children have the following weights: 45.5 pounds, 61 pounds, 37.2 pounds, and 16.34 pounds. What is the average weight of the children?
Answer:
40.01 lb
Step-by-step explanation:
mean:
(45.5+61+37.2+16.34)/4
160.04/4
40.01
Answer:
40.01
Step-by-step explanation:
First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer
How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2
Answer:
2 half cubes
Step-by-step explanation:
this has only half the width, you just need 1 more to make a whole, therefore 2
Which values of x make the inequality below true?
5 - 3 + 3x < 13
plz help asap im timed just this and ill give u 5 stars brainliest and a thank u no cap
no its not a
Answer:
D
Step-by-step explanation:
2 x 4 = 8
8 x 2 = 16
4 x 9 = 36
36 x 2 = 72
9 x 2 = 18
18 x 2 = 36
16 + 72 + 36 = 124
124 = D
Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32
Answer:
So the mean of the given data set is approximately 15.55.
Step-by-step explanation:
The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.
The midpoint of each class can be calculated as the average of the lower and upper class boundaries:
Class 0-9: Midpoint = (0 + 9) / 2 = 4.5
Class 10-19: Midpoint = (10 + 19) / 2 = 14.5
Class 20-29: Midpoint = (20 + 29) / 2 = 24.5
Now we can find the sum of the product of each midpoint and its frequency:
(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182
Finally, we divide this sum by the total frequency (76) to find the mean:
1182 / 76 = 15.552632
So the mean of the given data set is approximately 15.55.
Convert 7/15 to a decimal.
SHOW WORK
Answer:
.4666...
Step-by-step explanation:
What you do:
Too convert 7/15 to a decimal you need too divide it.
7/15 = 0.466666667 So its a repeating decimal.
There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47
^ that is more accurate.
Have a good day! :)
Newton currently has an account balance of $6,225.18. He opened the account 15 years ago
with a deposit of $4,543.11. If the interest compounds daily, what is the interest rate on the
account?
30.3%
7.7%
58.3%
2.1%
Answer: 2.1%
Step-by-step explanation:
r = n [(A/P)^1/nt - 1
The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation
Answer:
B) Rotation
Step-by-step explanation:
The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.
Answer:
Rotation
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3
Answer:
A
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given f(x) then the graph of f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) has been shifted 4 units left and 3 units down, thus
g(x) = (x + 4)² - 3 → A
A man divided some apples among his two children and himself. If the man took 3 apples for
himself and divided the remaining apples evenly between each of his children and each child had
fewer than 5 apples. How many apples were there originally?
Answer:
15
Step-by-step explanation:
what is the vertex of y=1/2(x+4)^2+1
NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)
Answer:
y
Step-by-step explanation:
Associative Property a(bc)=(ab)c
1/4(4y)=(1/4(4))y
y
Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?
Answer:
29
Step-by-step explanation:
2s-15=h
2(22)-15=h
44-15=h
29=h
Answer:
29
Step-by-step explanation:
22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.
x+y= 2
y=-12? + 3
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1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.
Answer:
11
Step-by-step explanation:
11
Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0
a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4
Answer:
4/5
Step-by-step explanation:
4x-5y=0
subtract 4x on both the sides
4x-4x-5y = 0-4x
-5y = -4x
divide by -5 on both the sides
-5y/-5 = -4x/-5
y =( 4/5 )x
What is the distance from
23, 5) to (33, -12)
Answer: 19.723083
Step-by-step explanation:
