Which equation correctly applies the distributive property?
A.(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
B.−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045
C.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
D.50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Distributive property which is expressed as
[tex]a\times (b+c)\\\\=a\times b+a\times c[/tex]
Similarly, in option 'A', we have
(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
Here, a = 0.5,
b= 0.5
c = 0.3
d = 0.2
So, it can be expressed as
[tex]a\times (b+c+d)=a\times b+a\times c+a\times d[/tex]
Hence, Option 'A' is correct.
If angle PDQ equals 23 degrees and angle SDQ equals 11 degrees what is angle PDS?
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I need helpppppppppp
Which of the following has a value between 10/3 and 11/3
I need help with this math problem please!
What is the total perimeter of the pitch and seating area?
What is the total area of the pitch and seating area?
Answer:
111.1
Step-by-step explanation:
5,687.3 mi to the nearest mile
How to write one hundred eight and ninety-five hundredths as a decimal
Bethany has 43 apples.write a subtraction story about the apples that would require regrouping.
Helen has a $1.35 in her bank in nickels and dimes the number of nickels is 9 more than the number of Dimes how many of each coin does she have
What is 8/11 as a decimal
Which algebraic expression is equivalent to the expression below?
Amanda has a car loan for 12,000 She is paying 3% interest for 6 years. How much will she pay in interest for the 6 years
Carla gets a 96% on a 50 question test . What what fraction of the answers did she get wrong?
The quotient of a number m and 3.2 is 15
How to write a real world problem involving the subtraction of two mixed numbers whose difference is less than 2 1/2
Maria made a scale drawing of an elephant. The scale is 1 inch to 13 feet. What is the scrutiny length of the elephant? In the pic the elephant is 1.5 inches long.
Scale: 1 inch = 13 feet. 1.5 inches on the drawing. Actual length: 1.5 * 13 = 19.5 feet. Elephant length.
To find the actual length of the elephant, you need to use the scale provided by Maria's drawing. The scale states that 1 inch on the drawing represents 13 feet in reality. Since the elephant in the drawing is 1.5 inches long, we can calculate the actual length using the scale.
1. First, determine how many feet one inch on the drawing represents:
[tex]\( 1 \text{ inch on drawing} = 13 \text{ feet in reality} \)[/tex]
2. Multiply the number of inches in the drawing by the conversion factor to find the actual length:
[tex]\( 1.5 \text{ inches on drawing} \times 13 \text{ feet/inch} = 19.5 \text{ feet in reality} \)[/tex]
So, the actual length of the elephant is 19.5 feet.
Write two algebraic expressions, one with a quotient of x5 and one with a product of x5
An algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].
We need to write two algebraic expressions, one with a quotient of [tex]x^{5}[/tex] and one with a product of [tex]x^{5}[/tex].
What is an algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Now, an algebraic expression with a quotient of [tex]x^{5}[/tex] is
[tex]\frac{x^{7} }{x^{2} } =x^{7-2}=x^{5}[/tex] (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])
An algebraic expression with a product of [tex]x^{5}[/tex] is
[tex]x^{3}\times x^{2} = x^{3+2}=x^{5}[/tex]
Therefore, an algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].
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25 POINTS HELP NOW
Twenty is 10% of what number?
Enter your answer in the box
divide 20 by 10%
10% = 0.10
20 / 0.10 = 200
20 is 10% of 200
PLEASE HELP 25 POINTSSS
Which graph represents the function f(x) = -|x+3|?
Answer:
Step-by-step explanation:
its the first one.
30 students 2/5 play an instrument and 5/6 play a sport. How many students play an instrument and how many play sport..?
Final answer:
There are 30 students in total, 12 of whom play an instrument, and 25 of whom play a sport.
Explanation:
The question asks about the number of students who play an instrument and the number who play a sport. There are 30 students in total.
To find the number of students who play an instrument, we multiply 30 by ⅓ (2/5), since 2/5 of the students play an instrument. To find the number of students who play a sport, we multiply 30 by ⅕ (5/6), since 5/6 of the students play a sport.
For the instrument calculation: 30 × 2/5 = 12, so 12 students play an instrument.
For the sport calculation: 30 × 5/6 = 25, so 25 students play a sport.
PLEASE HELP!
The gravitational force that Earth exerts on an object is inversely proportional to the square of the distance between the center of the Earth and the object. When Bill is on the surface of Earth, 4,000 miles from the center, the gravitational force is 600 Newtons. What is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon, 240,000 miles from the center of the earth? Express your answer as a fraction
1/6 is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon.
What is gravitational force?The gravitational force is a force that attracts any two gadgets with mass. We name the gravitational force attractive as it always tries to pull masses together, it in no way pushes them apart. In fact, every item, consisting of you, is pulling on every different item in the entire universe.
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Last month, a coral reef 7000 grew millimeters taller. How much did it grow in meters?
square root of 5 rounded to the nearest tenth
Somebody Please Help, I'm Super Confused
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer.
40/6 what is the closest whole number?
Write the number 418,712,909 in word form
The number 418,712,909 is written in word form as 'four hundred eighteen million, seven hundred twelve thousand, nine hundred nine'. This educates students on place value and the decimal system, crucial elements in middle school mathematics.
Explanation:The number 418,712,909 in word form is written as four hundred eighteen million, seven hundred twelve thousand, nine hundred nine. Learning to convert numbers into words is an essential skill in mathematics, teaching students not only the names of large numbers but also helping to develop a deeper understanding of place value and the decimal system.
It's a fundamental part of mathematics education, especially in middle school, where students start engaging with more complex numerical concepts.
Answer 1-5 please
Thanks