Select the correct answer. Choose the number sentence that illustrates the distributive property of multiplication over addition. 6 × (5 + 8) = (6 × 5) + 8 6 × (5 + 8) = (6 + 5) × (6 + 8) 6 × (5 + 8) = (6 × 5) + (6 × 8)
The numeric sentence (A) 6 × (5 + 8) = (6 × 5) + 8 represents the distributive property of multiplication.
What is the distributive property of multiplication?The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. According to the distributive property of multiplication, the first number can be distributed among both of the other numbers and multiplied by each of them independently before adding the results to produce the same outcome as multiplying the first number by the sum.So, the distributive property of multiplication:
a × (b + c) = (a + b) × cSo, in the given options, only option (A) is similar to the distributive property of multiplication.
Therefore, the numeric sentence (A) 6 × (5 + 8) = (6 × 5) + 8 represents the distributive property of multiplication.
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Correct question:
Select the correct answer. Choose the number sentence that illustrates the distributive property of multiplication over addition.
(A) 6 × (5 + 8) = (6 × 5) + 8
(B) 6 × (5 + 8) = (6 + 5) × (6 + 8)
(C) 6 × (5 + 8) = (6 × 5) + (6 × 8)
Two-thirds of the gross of 144 plates was used at the wedding reception. How many plates were not used?
Answer:
47 ? (might b wrong_?
Step-by-step explanation:
2/3 divided by 144= 0.00462962963, if you round its 47.
Answer:48
Step-by-step explanation: because two third of 144 plates is 96 so you subtract 96 from 144.
THESE IS DUE TODAY PLEASE IM IN A RUSH
Answer:
3/8 gal
Step-by-step explanation:
[tex]5\frac{1}{4} \times \frac{1}{6} = \frac{21}{4} \times \frac{1}{6} = \frac{21}{24} = \frac{3}{8} [/tex]
Daniel took 12 index cards and wrote the number 1 through 12 on them 1 number of each card. he then collected the cards, shuffled them, and drew one card from the stack. what is the probability that the number on the card is greater than 0
We have 12 cards, each one with a different number, so the probability of each card being picked is 1/12.
Since all these cards have numbers that are greater than 0, all the 12 cards are correct options to being picked.
Adding the probability of all 12 cards, we have 12/12, that is, 1 or 100%.
So the probability of picking a card with a number greater than 0 is 1 or 100% (that is, every card has a number greater than 0).
The number of bats in a colony is growing exponentially. After 2 years, there were 120 bats. After 5 years, there were 960 bats. If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 8 years? do not include units in your answer.
7680 bats are expected to be in the colony after 8 years
What is Exponential Decay?A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
The formula for exponential growth
[tex]y=ab^{t}[/tex]
Given,
After 2 years, there were 120 bats.
120=ab²...1
After 5 years, there were 960 bats.
960=ab⁵....2
Hence:
120/960 = ab²/ab⁵
1/8 = b²/b⁵
1/8 = 1/ b³
1/2³ =1/ b³
2³=b³
b=2
We solve for a
120 = ab²...... Equation 1
120 = a × 2²
120 = 4a
a = 120/4
a = 30
Now put a, b and t value in the formula
y = 30 × 2⁸
y = 7680 bats
Hence, 7680 bats are expected to be in the colony after 8 years
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Janice buys a stuffed animal for $16.20. There was a 8% tax on the toy. What was the cost of the stuffed animal before tax?
Answer:
$15
Step-by-step explanation:
After tax cost is $16.20
Since 8% tax this is 108% of before tax cost
16.20/1.08 = 15
25% of the students in a school are in sixth grade.A. How many sixth graders are there if the school has160 students?B. How many sixth graders are there if the school has28 students?C. If the school has x students, write an expression for the number of sixth graders in terms of x. D. How many students are in the school is 42 of them are sixth graders.
A.
Multiply the number of students (160) by the percentage that are in sixth grade (25%)
Express the percentage in decimal form = 25/100 = 0.25
160 x 0.25 = 40 students
B. Same process
28 x 0.25 = 7 students
C.
Multiply 0.25 by x
0.25x
D.
0.25x = 42
Solve for x
x =42/0.25
x= 168
Mika used division to rewrite 5/40
as 0.125. Explain what she should do next to convert 0.125 to a percent.? HELPPP
Answer:
12.5%
Step-by-step explanation:
So, Mika did do the division right. So we can get that out of the way. In order to convert to a percent, you just simply move the decimal point over two times. In this case, we have 0.125. We move it over twice to get 12.5. Now, we just plop the percentage next to it to get: 12.5%.
May I have Brainliest please? I am so close to getting my next ranking! I just need 2 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
12.5%
(can also be written as:)12[tex]\frac{1}{2}[/tex]%
Step-by-step explanation:
She should bring the decimal point over two places to the right.
To convert decimals to percents ALWAYS bring the decimal point two places to the right and and a percentage sign.
help
please it’s due tmrw
Answer: -3
Step-by-step explanation:
Solve the quadratic equation by using the quadratic formula. 3x^2-5x+1=4 Enter your solutions below from smallest to largest. If a solution is repeated type that answer for both values of x. If your answer is not an integer then type it as a decimal rounded to the nearest hundredth.
Answer:
x = -0.47, x = 2.14
Step-by-step explanation:
Quadratic formula is my favorite!!
Let's first take that four over to the other side
Subtract 4 from both sides
3x^2-5x-3
a = 3
b = -5
c = -3
Remember quadratic formula: [tex]x=\frac{-b(+-)\sqrt{b^2-4ac} }{2a}[/tex]
IGNORE THE A BEFORE THE ±
Plug in our a, b, and c values: [tex]x=\frac{-(-5)±\sqrt{5^2-4(3)(-3)} }{2(3)}[/tex]
Simplify: [tex]x=\frac{5±\sqrt{25+36} }{6}[/tex]
Simplify some more: [tex]x=\frac{5±\sqrt{61} }{6}[/tex]
Solve:
x ≈ -0.47
x ≈ 2.14
Can someone help me please
Answer:
A,D
Step-by-step explanation:
irrational is a number that never repeats and just goes on and on and these 2 numbers are the only ones
hopes this helps please mark brainliest
-2(t+-4)=10-2t how many solutions does this equation have.
the given expression is
-2 (t + (-4) ) = 10 -2t
= -2t + 8 = 10 - 2t
Find (f + g)(x), if f(x) = - 5x2 + 6 and g(x) = x2 - 6.4x2- 6x2 + 12- 4x2- 6x2 - 12
Given the functions:
[tex]\begin{gathered} f(x)=-5x^2+6 \\ g(x)=x^2-6 \end{gathered}[/tex][tex]\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(-5x^2+6)+(x^2-6)=-5x^2+x^2+6-6 \\ (f+g)(x)=-4x^2+0=-4x^2 \end{gathered}[/tex]The answer is: C. -4x^2.
prime or composite
number 1
67
Answer:
167 is a prime number. However, if you're looking for if 1 or 67 is prime or composite, 1 is neither prime nor composite, and 67 is also prime.
Step-by-step explanation:
To find if a number is prime, you check if the only factors of the number are 1 and itself. If a number has more than two factors, it is composite. The only exception to this rule is if the number is 1 or 0, then it will be neither prime nor composite.
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Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, and the variable.
Answer:
A group of 3 teenagers wants to go out to a movie each ticket is 5 dollars, they all decide to share popcorn wich costs 3 dollars
Step-by-step explanation:
X=3 of the teenagers Y=18 the total cost
The constant is 5 because all the tickets cost and stay 5 dollars
And the variable is x because the amount of teenagers can change
Answer:
A Group Of 3 Family members wants to go out But the Table for 3 People cost 5 Dollars, So they just all decide to just Eat Icecream
Step-by-step explanation:
Which is $3. X=3 of the Family Members Y=18 The Total Cost The Constant is 5 because all of the tickets cost & stay $5 dollars & The variable is X because of the amount of money The Family Members have.
100% D IN Use the information to answer the question. A store sells jump ropes. Each jump rope costs the same amount. During a sale, the store reduces the price of each jump rope by $1.90. Ma spends $12.78 on 2 jump ropes at the sale price. What was the price of 1 jump rope before the sale? Enter the answer in the box. $
Answer : $8.29
A shop sells jump ropes
Ma spends $12.78 on 2 jump ropes after removing $1.90 on each jump rope
Since, she spents $12. 78 on two jump ropes
$1.90 is removed from each
For the two jump rope, we have
2 x 1.90 = $3.80
This means $3.80 is removed from the two jump ropes
The total amount spents on the two jump rope before the removal is
$12.780 + $3.80
The total amount = $16.58
The total amount spents on the two jump ropes before the sales is $16.58
Since each jump rope cost the same price
Then
16.58/2 = $8.29
Therefore, the price of each jump rope is $8.29
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
a student says that the solution of 375=x-28 is 347 explain the students error and find the correct answer
The given equation is:
375 = x - 28
To solve the equation:
Collect like terms
The -28 crosses the equality sign to the left and becomes 28
The equation then becomes:
375 + 28 = x
x = 403 (correct answer)
The students error is that when he collected like terms, he did not change the "-" sign in -28 to +
He did 375 - 28 = x
x = 347 (wrong)
What is the solution to the equation below? Round your answer to twodecimal places.eX = 7.9
Solution
For this case we have the following equation:
[tex]e^x=7.9[/tex]For this case we can apply natural log in both sides and we got:
[tex]\ln (x)=\ln (7.9)=2.07[/tex]and then the solution would be:
D. x =2.07
In the following figures, solve for x. Complete parts (a) through (c)
Explanation:
Part A:
The image is given below as
Concept:
Using the linear pairs theorem, we will have that
[tex]\begin{gathered} z+80^0=180^0 \\ substract\text{ 80 from both sides} \\ z+80-80=180-80 \\ z=100^0 \end{gathered}[/tex]Also from the image of the question, we can deduce that
[tex]y=55^0(vertical\text{ angles are equal\rparen}[/tex]Hence,
To calculate the value of x, we will use the sum of angles in a triangle
The sum of angles in a triangle gives
[tex]180^0[/tex]By substtituting the values, we will have
[tex]\begin{gathered} x+y+z=180^0 \\ y=55^0 \\ z=100^0 \\ x+y+z=180^{0} \\ x+55+100=180^0 \\ x+155=180^0 \\ x=180-155 \\ x=25^0 \end{gathered}[/tex]Hence,
The final answer for x in part A is
[tex]x=25^0[/tex]Part B:
From the image in the question we can see that angle segmen makes up a right angle
Hence,
We will have the relation below
[tex]\begin{gathered} 7x+2x=90^0 \\ 9x=90^0 \\ \frac{9x}{9}=\frac{90}{9} \\ x=10^0 \end{gathered}[/tex]Hence,
The final answer for x in part B is
[tex]x=10^0[/tex]The first two steps to solve the equation 3x2−7=47+7xare shown below:Step 1: 3x2−7x−7−47=0Step 2: 21x2−49x−49−4=0Which property is applied in step 1 to obtain step 2?Adivision property of equalitydivision property of equalityBaddition property of equalityaddition property of equalityCmultiplication property of equalitymultiplication property of equalityDsubtraction property of equality
Benjamin believes that [tex] \frac{1}{2} [/tex]% is equivalent to 50%. is he correct? why or why not?
First, we convert 1/2% to a decimal.
[tex]\frac{1}{2}\%=\frac{0.5}{100}=0.005[/tex]Similarly:
[tex]undefined[/tex]If you want to go on a field trip to the Bronx Zoo with your science class in 3 months and the trip is $36.00, how much money do you have to save per month?
Answer: you would have to save 12 dollars per month
Step-by-step explanation:
36 divided by 3
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
Solve for x in x^3 = 64/27.
ANSWER
[tex]x\text{ = }\frac{4}{3}[/tex]EXPLANATION
We have that:
[tex]x^3\text{ = }\frac{64}{27}[/tex]64 and 27 are perfect cubes. This is because they are integers that can be gotten when another integer is raised to the third power or multiplies itself three times.
So, to get x, we can find the cube root of both sides:
[tex]\begin{gathered} \sqrt[3]{x^3}\text{ = }\sqrt[3]{\frac{64}{27}} \\ \Rightarrow\text{ x = }\sqrt[3]{\frac{4\cdot4\cdot4}{3\cdot3\cdot3}} \\ x\text{ = }\frac{4}{3} \end{gathered}[/tex]That is the value of x.
Aaliyah is trying to solve (2 – -3)? lbut is stuck on the first step. Finish solving the equationusing the Complete the Square Method and select the correct value of x below.O2=3 -OD=3+Oc=i - 3O2=334567891011 12NE
Given:
[tex](x-3)^2=-1[/tex]To solve for x:
Taking square root on both sides we get,
[tex]\begin{gathered} x-3=\sqrt[]{-1} \\ x-3=i \\ x=3+i \end{gathered}[/tex]Hence, the correct option is, B.
3 A of ch 75 -5 A study of traffic patterns in a large city shows that if the weather is rainy, there is a 50% chance of an automobile accident occurring during the morning commute. If the weather is clear, the chance of an accident is reduced to 25%. Suppose the weather forecast for tomorrow predicts a 75% chance of rain. Draw a tree diagram based on the information in the work space. (Level 4) Show Your Work US be A of ch
Solution
We can create the solution with the following tree diagram:
Part 2
For this case we want this probability:
P(rain and accident)
And we can do this operation:
P(rain and accident) = 0.75 *0.5 = 0.375
Part 3
For this case we want this probability:
P( no rain and accident)
And we can do this operation:
P(no rain and accident) = 0.25 *0.25 = 0.0625
Part 4
P(Accident) = 0.5*0.75 + 0.25*0.25= 0.4375
A square has each side equal to 2x-3. The expression that will calculate its area is:
A. 2x² + 6x + 9
B. 4x² + 9
C. 4x² + x - 6
D. 4x² - 6x + 9
E. 4x² - 12x + 9
The expression that will calculate its area is Option D. 4x² - 6x + 9.
The region is the amount that expresses the extent of vicinity on the aircraft or on a curved surface. The region of a plane vicinity or plane location refers to the area of a shape or planar lamina, whilst floor vicinity refers back to the region of an open surface or the boundary of a 3-dimensional item.
Calculation:-
side of square is given by = 2x-3
area of square = side²
= ( 2x-3)²
= 4x² + 3² - 2× 2x×3
= 4x² + 9 - 12x
The area is the quantity of area occupied by means of a two-dimensional figure. In other phrases, it's far the amount that measures the range of unit squares that cowl the surface of a closed determine. the same old unit of the vicinity is square devices that's usually represented as rectangular inches, square feet, etc.
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cost: $41.80
rate of tip: 20%
Answer:
50.16 if you add 20 %
if you need the original price and this is with the 20% included then 33.44
Step-by-step explanation:
Solve -4 1/5 ÷ 2 1/4.
one and 39 over 45
negative one and 39 over 45
negative eight and one twentieth
negative nine and 9 over 20
Answer:
Step-by-step explanation: