Determine which choice best shows the distributive property of multiplication.
Answers
The distributive property is demonstrated best by equations in the form a(b + c) = ab + ac. The correct choices that illustrate this property are: 1. C, 2. B, 3. A, 4. A, 5. A, 6. B, 7. C, and 8. C.
To determine which choice best shows the distributive property of multiplication, we need to find the equation that demonstrates the format a(b + c) = ab + ac. This property states that you can distribute the multiplication over addition inside the parentheses.
1 Correct choice: C. (7 × 2) + (7 × 4) = 7 × (2 + 4)
2 Correct choice: B. (7 × 3) + (7 × 2) = 7 × (3 + 2)
3 Correct choice: A. (2 × 10) + (2 × 8) = 2 × (10 + 8)
4 Correct choice: A. (9 × 4) + (9 × 5) = 9 × (4 + 5)
5 Correct choice: A. 2 × (3 + 5) = (2 × 3) + (2 × 5)
6 Correct choice: B. 9 × (3 + 7) = (9 × 3) + (9 × 7)
7 Correct choice: C. 5 × (4 + 6) = (5 × 4) + (5 × 6)
8 Correct choice: C. (2 × 6) + (2 × 0) = 2 × (6 + 0)
This demonstrates the distributive property effectively.
Complete question:
Determine which choice best shows the distributive property of multiplication.
1) A. 7 × 1 = 7, B. 7 × 2 = 2 × 7, C. (7 × 2) + (7 × 4)=7 × (2 + 4), D. (7 × 2) × 4 = 7 × (2 × 4)
2) A. (7 × 3) × 2 = 7 × (3 × 2), B. (7 × 3) + (7 × 2) = 7 × (3 + 2), C. 7 × 1 = 7, D. 7 × 3=3 × 7
3) A. (2 × 10) + (2 × 8) = 2 × (10 + 8), B. (2 × 10) × 8 = 2 × (10 × 8), C. 2 × 1 = 2, D. 2 × 10 = 10 × 2
4) A. (9 × 4) + (9 × 5) = 9 × (4 + 5), B. (9 × 4) × 5 = 9 × (4 × 5), C. 9 × 1 = 9, D. 9 × 4 = 4 × 9
5) A. 2 × (3 + 5) = (2 × 3) + (2 × 5), B. 2 × 3 = 3 × 2, C. 2 × (3 × 5) = (2 × 3) × 5, D. 1 × 2 = 2
6) A. 9 × (3 × 7) = (9 × 3) × 7, B. 9 × (3 + 7) = (9 × 3) + (9 × 7), C. 9 × 3 = 3 × 9, D. 1 × 9 = 9
7) A. 5 × (4 × 6) = (5 × 4) × 6, B. 1 × 5 = 5, C. 5 × (4 + 6) = (5 × 4) + (5 × 6), D. 5 × 4 = 4 × 5
8) A. 2 × 1 = 2, B. 2 × 6 = 6 × 2, C. (2 × 6) + (2 × 0) = 2 × (6 + 0), D (2 × 6) × 0 = 2 × (6 × 0)
Related Questions
To get to work, matt walks 0.75 miles from his house to the bus stop and rides the bus 3.8 miles to his office. if he walks at a pace of 3.6 miles per hour and the bus drives at an average speed of 15 miles per hour, how long is with his commute?
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How many atoms of oxygen are in one formula unit of Ca(No3)2?
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In the compound [tex]Ca(NO_3 )_2[/tex],the subscript, 3 implies that, there are three atoms of oxygen in the parenthesis.
The 2 outside the parenthesis tells us the nitrate[tex](NO_3)[/tex] is doubled and that each atom is also doubled.
In order to obtain the number of oxygen atoms in the compound, we have to multiply the subscript, [tex]3[/tex] of oxygen, by the subscript [tex]2[/tex] which is outside the parenthesis.
This implies that,
The number of oxygen atoms [tex]=3\times2=6[/tex]
Therefore there are [tex]6[/tex] oxygen atoms in the given compound.
-2i over 1+i ... help :(
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= -1 -i
The answer would be the same even if you divided...and or, wrote it in simplest form.
PLEASE HELP
Which is a true statement about any two congruent chords in a circle?
A. They form an angle.
B. They are perpendicular.
C. They are parallel.
D. They are equidistant from the center of the circle.
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In other words, they are the same distance away from the center
WriteTwo Equivalent Ratios For The Given Ratio 9/10
...?
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27/30
18/20
Which of the following is a counterexample to that statement “All prime numbers are odd”
a:The statement has no counterexamples
b:What you are trying to prove
c:The theorems you will use
d: The definitions of important vocabulary
...?
Answers
The statement above has no counter-examples.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Find the measure of
Answers
Am I able to evaluate sin(cos^1(7/11)) without a calculator? If yes, how? ...?
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Yes, you can evaluate sin(cos^-1(7/11)) without a calculator. The result can be simplified to √(72/121).
Explanation:Yes, you can evaluate sin(cos-1(7/11)) without a calculator. Let's break it down step by step:
cos-1(7/11) represents the inverse cosine of 7/11. Inverse cosine is the angle whose cosine is equal to the given value. So, cos-1(7/11) is the angle whose cosine is 7/11.To evaluate sin(cos-1(7/11)), we need to find the sine of the angle we found in the previous step.Since we know that sin2(θ) + cos2(θ) = 1, we can use this relationship to find sin(θ) when we know cos(θ).Let's assume the angle we found in step 1 is θ. We know that cos(θ) = 7/11, so we can substitute this value into the equation sin2(θ) + (7/11)2 = 1 and solve for sin(θ).By solving the equation, we find that sin(θ) = √(1 - (7/11)2).Finally, we can simplify the expression sin(θ) = √(1 - (49/121)) or sin(θ) = √(72/121).Therefore, sin(cos-1(7/11)) can be evaluated as √(72/121).
PLEASE ANYONE HELP MEEE!!!!
An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
A.
26 cm
B.
52 cm
C.
75 cm
D.
100 cm"
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5 = S/2*Tan(180/3), S = 17.32 cm.
P = 17.32 + 17.32 + 17.32 = 52 cm.
So your option will be the second one: B. 52 cm.
Hope this is useful
1.) 7, 9, 11, 13, . . . is it 2.) 2,1, 1 , 1
2 4
A.) arithmetic A.) arithmetic
B.) geometric B.) geometric
C.) both C.) both
D.) neither D.) neither
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A rectangle has an area of 3 square feet and a width of 1/2 foot. What is the length of the rectangle ?
Answers
Here, A = 3
W = 1/2
Substitute it into the expression,
3 = L * 1/2
L = 3/ 1/2
L = 3/2 ft²
So, the length of the rectangle would be 3/2 ft²
Hope this helps!
there are 5 sodas, 3 grape sodas, 7 root beers, and 8 lemon lime sodas in a cooler. What is the probability of choosing a grape soda? Give your answer as a ration in its lowest terms.
Answers
3 grape sodas / total drinks
You will need to add all the drinks together to get the total drinks
(5 + 3 + 7 + 8 = 23)
3 / 23 is your probability
This ratio cannot be simplified into lowest terms
How many pounds does 64 ounces weigh?
Answers
Answer:
4 lbs
Step-by-step explanation:
There are 16 ounces in a pound, so divide 64 by 16 to get the number of pounds. 64 ÷ 16 = 4 lbs
Determine the coordinates of the vertices of the triangle to compute the area of the triangle using the distance formula (round to the nearest integer).
FIRST GRAPH
A) 20 units^2
B) 30 units^2
C) 40 units^2
D) 50 units^2
Answers
Now, consider a triangle that’s graphed in the coordinate plane. You can always use the distance formula, find the lengths of the three sides, and then apply Heron’s formula. But there’s an even better choice, based on the determinant of a matrix.
Here’s a formula to use, based on the counterclockwise entry of the coordinates of the vertices of the triangle
(x1, y1), (x2, y2), (x3, y3) or (2, 1), (8, 9), (1, 8): A = x1y2 + x2y3 + x3y1 – x1y3 – x2y1 – x3y2.
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour
.
The equation t = d + 16 represents the scenario
.
The function f(t) = 16t represents the scenario.
there can be more then one answer
Answers
The function f(t) - 16t
Both of these statements describe the relationship.
Answer:
B and E are the answers
Step-by-step explanation:
Enjoy! <3
A quadrilateral has angles that measure 74°, 93°, and 117°.
Answers
it would be: 360 - (74+93+117)
= 360 - 284
= 76 degrees
So, Your final answer is 76 degrees.
Hope this helps!
what is the correct expansion of the binomial (x+y)^5
Answers
Answer: The correct expansion is,
[tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]
Step-by-step explanation:
Since, by the binomial expansion,
[tex](p+q)^n=\sum_{r=0}^{n} ^nC_r (p)^{n-r}(q)^r[/tex]
Where,
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Here, p = x and q = y and n = 5,
By substituting values,
[tex](x+y)^5=\sum_{r=0}^{5} ^5C_r (x)^{n-r}(y)^r[/tex]
[tex] =^5C_0(x)^{5-0}(y)^0+^5C_1 (x)^{5-1}(y)^1+^5C_2 (x)^{5-2}(y)^2+^5C_3 (x)^{5-3}(y)^3+^5C_4 (x)^{5-4}(y)^4+^5C_5(x)^{5-5}(y)^{5}[/tex]
[tex]=1(x)^5(y)^0+\frac{5!}{4!(5-4)!}x^4y^1+\frac{5!}{3!(5-3)!}x^3y^2+\frac{5!}{2!(5-2)!}x^2y^3+\frac{5!}{1!(5-1)!}xy^4+\frac{5!}{5!(5-5)!}x^0y^5[/tex]
[tex]=x^5+\frac{5!}{4!1!}x^4y^1+\frac{5!}{3!2!}x^3y^2+\frac{5!}{2!3!}x^2y^3+\frac{5!}{1!4!}x^1y^4+\frac{5!}{5!0!}x^0y^5[/tex]
[tex]=x^5+\frac{5\times 4!}{4!}x^4y^1+\frac{5\times 4\times 3!}{3!2!}x^3y^2+\frac{5\times 4\times 3!}{2!3!}x^2y^3+\frac{5\times 4!}{4!}x^1y^4+\frac{5!}{5!}y^5[/tex]
[tex]=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]
Which is the required expansion.
Which completes the syllogism? If a polygon is a square, then it has four congruent sides. If a polygon has four congruent sides, then it is a rhombus. Therefore, …
A. if a polygon is a square, then it is a rhombus.
B.if a polygon is a rhombus, then it is a square.
C.if a polygon is a rhombus, then it is a parallelogram.
D.if a polygon has four congruent sides, then it is a square.
Answers
Answer:
Step-by-step explanation:
When a number is divided by 5, the result is 50 more than if the number had been divided by 6. what is the number?
Answers
[tex]30( \frac{x}{5} -50)= 30(\frac{x}{6})[/tex]
[tex]6x -1500=5x[/tex]
[tex]1500 = x[/tex]
x/5 is 50 more than x/6
x/5=50+x/6
6x/30=50+5x/30
minus 5x/30 from both sides
x/30=50
times 30 both sides
x=1500
the number is 1500
What is the formula that relates circumference and radius?
A. C = 2r
B. C = 2/r
C. C = 2D
D. C + 2 = r
Answers
C = 2πr..... It is the relation for Circle's if you're considering something else, then, please mention!
Answer:
The formula that relates circumference and radius is [tex]C=2\pi r[/tex].
Step-by-step explanation:
The circumference of a circle is calculated by the formula
[tex]C=2\pi r[/tex]
Where,
C is circumference of the circle.
r is radius of the circle.
π is 22/7 or 3.14.
In the given options π is not missing. So, all the given options are incorrect.
Therefore the formula that relates circumference and radius is [tex]C=2\pi r[/tex].
Jeremiah has a batting average of 0.312 this baseball season. Express his average as a fraction in lowest terms.
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0.312/1 * 1000/1000 = 312/1000
Then simplify:
39/125
How to simplify and expression by combining like terms?
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What is the resulting ordered pair if the value of the independent variable is x=-3?f(x) = –2x-3
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x= -3
f (-3)= -2.(-3)-3
f (-3)= 6-3
f (-3)=3
If f(x)=2x^2-x-6 and g(x)=x^2-4, find f(x)/g(x)
2x+3/x-2
2x-3/x+2
2x+3/x+2
2x-3/x-2
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To find f(x)/g(x), we factor both f(x) and g(x), and then simplify by canceling common terms. The simplified result is 2x + 3 / x + 2.
To find the quotient of two functions, f(x) and g(x), we divide the first function by the second. In this case, we have f(x) = 2x² - x - 6 and g(x) = x² - 4. The process involves the following steps:
Write the division of the two functions: f(x)/g(x).Simplify the expressions, if possible, by factoring and reducing them.We start by factoring both f(x) and g(x):
f(x) = (2x + 3)(x - 2)
g(x) = (x + 2)(x - 2)
Now we divide f(x) by g(x):
f(x)/g(x) = ((2x + 3)(x - 2)) / ((x + 2)(x - 2))
Notice that the term (x - 2) is common in both the numerator and the denominator, so we can reduce the expression by canceling out the common term, resulting in:
f(x)/g(x) = (2x + 3) / (x + 2)
The correct result is the second option: 2x + 3 / x + 2.
Explain why the graph shown may be misleading.
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As they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.
What is graph?It is defined as the data representation in visual way, and it makes the appearance of the data simpler.
As we can see in the graph:
Total of 40 compact cars, 4 of 10 each.
Total of 30 mid-size, 3 of 10 each.
And Total of 20 trucks,
However, they all appear to have the same start and end points in the graph, with the mid-sizes being longer than the compacts and the trucks being considerably larger than the others above it, virtually implying that the amounts for all are identical for that period.
Thus, as they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.
Learn more about the graph here:
https://brainly.com/question/16608196
#SPJ2
Which of the following algebraic equations could represent the sentence, "The product of a number and five is 11"?
a,x+ 5 = 11
b,x- 5 = 11
c,= 11
d,5x= 11
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A rectangle has a width of 7.9 ft and a perimeter of 27.2 ft.
Enter the length of the rectangle, in decimal form, in the box.
Answers
2(l + 7.9)= 27.2
2l + 15.8 = 27.2
2l = 11.4
l = 5.7 ft
I just had the same question and the answer was 5.7. Hope this helps somebody
Claire can run 100 meters in 17 seconds. what is her speed in meters per second?
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convert .98 to percent ...?
Answers
0.98 x 100 = 98%
Fill in the blank: A concave polygon is ________ that _______ ...?
Answers
A concave polygon is a polygon that has one or more interior angles greater than 180 degrees.