What would 20-(2+1)-6÷3 be
Answer:
15
Step-by-step explanation:
2+1=3
6 divided by 3= 2
20-3-2=15
When Rosa tripped and fell into a muddy puddle at lunch (she was so embarrassed!), she knew
exactly what would happen: within ten minutes, the two girls who saw her fall would each tell
four people what they had seen. Within the next ten minutes, those eight students would each
tell four more people. Rosa knew this would continue until everyone in the entire school was
talking about her muddy experience. If there are 2016 students in the school, how many
"generations” of gossiping would it take before everyone in the school was talking about Rosa?
How many minutes would it take? Graph the situation.
Explanation of the number of generations and minutes it would take for gossip to reach everyone in a school.
Explanation:The total number of students in the school: 2016
Number of students each person tells: 4
Generations needed: Log base 4 of 2016 is approximately 4.033.
Number of minutes: Each generation is 10 minutes, so 4.033 generations would be approximately 40.33 minutes.
Graph: As the number of generations increases, the number of people reached grows exponentially.
Enzo is making a scale drawing of the rectangle below. A rectangle has a length of 8 centimeters and width of 5 centimeters. Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct? Enzo is correct because he used a factor of 2 to enlarge the rectangle. Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension. Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.
Answer:
Enzo is not correct bc he did not multiply the length and width by the same factor
Hopes that helped:P
Answer:
the answer is d
Step-by-step explanation:
like this if you like anime
A tank is 5/8 filled with water. When the metal cube is placed in the tank, it is 3/4 full. Use the guess, check, revise strategy to find the dimensions of the cube.
The cube has the dimensions of:
[tex]1.26m \ by \ 1.26m \ by \ 1.26m[/tex]
Explanation:A cube is a prism whose sides all have the same length. So the dimension of this cube will be given by one of its sides. For any object that is submerged in water, the volume of the displacement liquid equals the volume of the object.
[tex]For \ any \ cube \ the \ volume \ in \ terms \ of \ one \ side \ (s) \ is: \\ \\ V=s^3[/tex]
Suppose the volume of the tank when full is [tex]16m^3[/tex], so if it is 5/8 filled with water, then:
[tex]V_{5/8}=\frac{5}{8}(16) \\ \\ V_{5/8}=10m^3[/tex]
When the metal cube is placed in the tank, it is 3/4 full:
[tex]V_{3/4}=\frac{3}{4}(16) \\ \\ V_{3/4}=12m^3[/tex]
So the difference between these two volumes is the displacement volumen that equals the volume of the cube:
[tex]V=V_{3/4}-V_{5/8} \\ \\ V=12-10 \\ \\ V=2m^3[/tex]
So, the side of the cube is:
[tex]s=\sqrt[3]{2} \\ \\ \boxed{s\approx 1.26m}[/tex]
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what is the first step when dividing two fractions
Answer:
Completely factor both the numerators and denominators of all fractions.
Step-by-step explanation:
Give a real world example for a system of equations! Max points!!!
Answer:
likewise your friend is two times older than u and u r two times younger than him then assume the given sum as 120 so your friend"s age will be 2x and ur age will be y so the sum obtained Is 2x+y=120
Answer: Alex had 8 apples to share Amon him and three of his friends. What is 8 / 4 ? It is 2
Step-by-step explanation:
If 5n = 0,then what does 6n equal
Answer:0
Step-by-step explanation:
Because any multiples by 0 is 0
Answer:
0
Step-by-step explanation:
Since 5 x n = 0, n has to be 0 since you can’t multiply anything but 0 to get the result of 0. Hope this helped!
A person invests 7500 dollars in a bank. The bank pays 4% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12800 dollars?
Answer:
13.6 years
Step-by-step explanation:
From the question;
Money invested (Principal) is 7500 dollars Rate of interest is 4% compounded annually Amount, (money accrued ) is 12800 dollarsWe are needed to determine the time it took for the money to reach the given amount;
To solve the question we need to know the compound interest formula, that is;[tex]A=P(1-\frac{r}{100})^n[/tex]
Where n is the interest periods;
Therefore, substituting the variables with the corresponding values, we can determine n.Therefore;
[tex]12800=7500(1-\frac{4}{100})^n[/tex]
Dividing both sides by 7500, we get;
[tex]1.7067=(1-\frac{4}{100})^n[/tex]
[tex]1.7067=(1.04)^n[/tex]
Introducing logarithms on both sides;
[tex]log1.7067=log(1.04)^n\\nlog1.04=log1.7067\\n=\frac{log1.7067}{log1.04} \\n=13.63[/tex]
Thus, n=13.6 years
Thus, it would take 13.6 years for the invested money to accumulate to 12800 dollars
if I work 4 days a week and get 8 dollars a day. How much will I make in 2months
Answer:
$256
Step-by-step explanation:
Alright so,
There are 7 days in a week and you're only working 4 of those days. In one week you would make $32 since 4*8=32. (4 being the days you work and 8 being the amount you get a day)
There are about 4 weeks in one month and 4*2=8, therefore there are 8 weeks in 2 months.
Remember, in one week you make $32. What you can do now is multiply, it's easy work and you'll get it fast:)
32x8=$265
Hope it helps!
Answer:
256
Step-by-step explanation:
1/3+1/4 I really don’t get this so can someone please help me with this problem
Answer:
7/12
Step-by-step explanation:
You have to find a common denominator, so you would multiply 3 from the 1/3 by 4 which gets you twelve. And bc you multiplied the 3 you have to multiple the 1 so 1/3 would be 4/12. You would then multiply 4 by 3 and get 12. Then do the same to the one on top. So 1/4 would be 3/12. You then add 3 and 4 and get 7. That’s the numerator, the denominator stays 12. So it would be 7/12
10.6666666667 as a fraction
The fraction form of the number 10.666666667 is,
⇒ 32/3
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
Given that,
A number is,
⇒ 10.6666666667
For the fraction form,
Let us assume that,
⇒ x = 10.666666667 .. (i)
Multiply by 10 on both sides,
⇒ 10x = 106.666666667 .. (ii)
Subtract (ii) from (i);
⇒ 10x - x = 106.666666667 - 10.66666667
⇒ 9x = 96
Divide 9 on both sides,
⇒ x = 96/9
Or, it can be written as,
⇒ x = 32/3
So, the fraction form is, 32/3
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Final answer:
To convert the decimal 10.6666666667 to a fraction, we write it as the sum of 10 and the repeating decimal 0.6666666667. The repeating decimal equates to 2/3 after simplification, leading to the mixed number 10 2/3 or the improper fraction 32/3.
Explanation:
To convert the decimal 10.6666666667 to a fraction, we need to express it as the sum of its whole number part and its fractional part. The whole number part is 10, and the fractional part is 0.6666666667.
First, let's focus only on the fractional part. To turn 0.6666666667 into a fraction, notice that it's a repeating decimal. If we denote the repeating part by 'x', the equation will be:
x = 0.6666666667
Multiplying by 10 gives:
10x = 6.6666666667
Subtracting the original equation from this new equation:
9x = 6
Now, we solve for 'x':
x = 6/9
However, this fraction can be simplified to:
x = 2/3
Therefore, the fraction form of 10.6666666667 is 10 2/3, which can also be written as an improper fraction:
(10 × 3/3) + 2/3=(30/3) + 2/3=32/3A dad has two daughters – Wendy and Julia. Wendy is twice as old as Julia. The man is now five times as old as Wendy, and in 4 years he will be six times as old as Julia. Find the present age of the father.
father is 50
Julia's age : a year-old
Wendy is twice the age of Julia
= > Wendy = 2a year-old
Dad's age : b year-old
" The man is now five times as old as Wendy " b / 2a = 5 <=> b = 10a
" In four years he will be six times as old as Julia " :
( B + 4 ) / (a + 4 ) = 6 + 4 = 6. <=> b (a + 4 )
<=> B = 6a +20
I have two equations :
6a + b = 20
b = 10a
= > 10a = 6a + 20 - > a = 5
- > B = 10a = 50
Answer:
50
Step-by-step explanation:
NEED ANSWER ASAP!!!!!!!
in the system: {y=28+0.05x}
{y=25+0.07x}
what is the substitute for x where y is the same on both equations?
Hi there (◕‿-)
Since both equations are equal to y, they must equal each other. So set them to equal each other.
28 + 0.05x = 25 + 0.07x (✿ ♥‿♥)
Let's start by subtracting 25 from both sides!
3 + 0.05x = 0.07x (28-25=3, 25-25=0)
Now let's subtract 0.05 from both sides Ｏ(≧▽≦)Ｏ
3 = 0.02x
We need this x by itself, so let's get rid of it. Do this by divide both sides by 0.02 （ ´_⊃｀）
150 = x
So x = 150. Let's test this. Substitute 150 in for x in both equations! ＼（＾○＾）人（＾○＾）／
28+0.05(150) = 25+0.07(150)
28 + 7.5 = 25 + 10.5 (0.05*150=7.5, 0.07*150 = 10.5)
35.5 = 35.5
It works! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
So x = 150
What is 0.5p - 3.45 = -1.2
What is 1 2/4 x 3 5/6
Answer:
5.75
Step-by-step explanation:
We can first off make them improper fractions. They're easier to deal with.
1 2/4 = 6/4.
3 5/6 = 23/6
6/4 * 23/6.
Multiply numerators: 23 * 6 = 138.
Multiply denominators: 4 * 6 = 24.
138/24.
Simplify: 23/4
What is the value of x in the equation 4 and StartFraction 3 Over 10 EndFraction minus (2 and two-fifths x + 5 and one-half) = one-half (negative 3 and three-fifths x + 1 and one-fifth)?
The value of x is –3.
Solution:
Given statement:
4 and Start Fraction 3 Over 10 End Fraction minus (2 and two-fifths x + 5 and one-half) = one-half (negative 3 and three-fifths x + 1 and one-fifth)
Let's convert this into algebraic expression.
[tex]$4\frac{3}{10} -\left(2\frac{2}{5}x+5\frac{1}{2}\right)=\frac{1}{2}\left(-3\frac{3}{5}x+1\frac{1}{5}\right)[/tex]
First convert mixed fraction into improper fraction.
[tex]$\frac{43}{10} -\left(\frac{12}{5}x+\frac{11}{2}\right)=\frac{1}{2}\left(-\frac{18}{5}x+\frac{6}{5}\right)[/tex]
[tex]$\frac{43}{10} -\frac{12}{5}x-\frac{11}{2}=-\frac{18}{10}x+\frac{6}{10}[/tex]
Now, take LCM and make the denominators same.
LCM of 2, 5, 10 = 10
[tex]$\frac{43}{10} -\frac{12\times2}{5\times2}x-\frac{11\times5}{2\times5}=-\frac{18}{10}x+\frac{6}{10}[/tex]
[tex]$\frac{43}{10} -\frac{24}{10}x-\frac{55}{10}=-\frac{18}{10}x+\frac{6}{10}[/tex]
Arrange like terms one side of the equation.
[tex]$\frac{18}{10}x -\frac{24}{10}x=\frac{6}{10}-\frac{43}{10}+\frac{55}{10}[/tex]
[tex]$\frac{18x-24x}{10} =\frac{6-43+55}{10}[/tex]
[tex]$\frac{-6x}{10} =\frac{18}{10}[/tex]
[tex]$-6x=\frac{18\times10}{10}[/tex]
[tex]$-6x=18[/tex]
Divide both sides of the expression by –6, we get
⇒ x = –3
Hence the value of x is –3.
Answer:
-3
Step-by-step explanation:
Jared deposits $2 into his savings account every day for six weeks. Using the associate
Answer:
(2*7)*6 or 2*(7*6) = $84
Step-by-step explanation:
The associative property would always give the same value as an answer no matter the way of expression, once the expressions are right. So in this case,
Since has saves $2 every day and there are 7 days in a week,
2*7
and save this continously for 6 weeks.
(2*7)*6
This equals $84
OR
7 days in a week for 6 weeks
7*6
and saved $2 per day
2*(7*6)
This equals $84
Reid and Maria both play soccer. This season Reid scores 4 less than twice the number of goals that Maria scored the difference in the number of goals they scored was 6 how many goals did each of them score.
Answer: Reid scored 1 and Maria scored 5.
Step-by-step explanation:
5 x 2 = 10
10-4= 6
5 + 1 = 6
What is the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3?
Answer:
-10 + 9x - 8
Step-by-step explanation:
4x2 + 7x - 5 subtracted from
9x2 -2x + 3
8 + 7x - 5
18 - 2x + 3
(8-18) (+7x - -2x) (-5 - +3)
-10 ( +7x +2x) (-5-3)
-10 + 9x -8
The result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3 is found by adding the additive inverse of each term in the polynomial being subtracted. Result is: 5x2 - 9x + 8.
Explanation:Subtraction of Polynomials:
To find the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3, first remember that subtraction of polynomials is equivalent to adding the additive inverse of each term in the polynomial being subtracted.
The inverse of 4x2 is -4x2The inverse of 7x is -7x and,The inverse of -5 is +5So, 4x2 + 7x − 5 becomes -4x2 - 7x + 5. We then add this to 9x2 − 2x + 3 term by term.
The final result is: (9x2 + -4x2) + (-2x - 7x) + (3 + 5) = 5x2 - 9x + 8
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Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.
Answer:
I assume your asking who's is better and why?
Step-by-step explanation:
Ralph has stated that for 1 shirt it will cost
$7.50 + $10 shipping= $17.50
Frank says it's $10 a shirt no shipping
if you work out the cost of Ralph's up to 5 shirts using the equation
($7.50 x number of shirts ) + $10 shipping
with each equation replace number of shirts with the number 1,2,3,4 and 5
1 shirt will cost you $17.50
2 shirts will cost you $25.00
3 shirts will cost you $32.50
4 shirts will cost you $40.00
5 shirts will cost you $47.50
at Frank's shop
1 shirt will cost you $10
2 shirts will cost you $20
3 shirts will cost you $30
4 shirts will cost you $40
5 shirts will cost you $50
Frank's is better to buy no more than 4 shirts from as he's cheaper up to 4 shirts.
Ralph is cheaper for bigger orders with 5 or more shirts in them
The question deals with the comparison of the costs of buying T-shirts from Ralph’s company versus Frank’s company. The cost differs based on the number of T-shirts purchased and the associated shipping fees.
Explanation:The question is asking for a comparison between the two companies selling T-shirts and the associated costs. Ralph's company sells T-shirts for $7.50 each with an additional flat rate of $10 for shipping. In contrast, Frank's company sells T-shirts at a slightly higher price of $10 each but does not charge any shipping fees.
For example: If a customer wants to buy one T-shirt from each company, from Ralph’s company it would cost $7.50 (T-shirt price) + $10 (shipping fee) = $17.50. From Frank’s, it would cost $10 (T-shirt price) since shipping is free. So the cost would be different in both cases. However, if the customer opts to buy multiple t-shirts, the total cost might change depending on the number of t-shirts they decide to buy because of the fixed shipping cost on Ralph's side.
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A family room has a circular rug with a radius of 7 m .
The rug's area is?
Answer:
The rug's area is equal to 49π m².
General Formulas and Concepts:
Geometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify given.
r = 7 m
Step 2: Find Area
[Area of a Circle Formula] Substitute in radius r:∴ the family room circular rug with a circle radius of 7 meters has an area of 49π m². And we have solved our problem!
---
Topic: Geometry
What
percent of 150 is 225?
To determine what percent 225 is of 150, the calculation (225 / 150) × 100% is used, resulting in 225 being 150% of 150.
Explanation:To find what percent of 150 is 225, we can use the formula for calculating percents:
Percentage = (Part / Whole) × 100%
Where 'Part' is 225 and 'Whole' is 150. Now, let's calculate:
Percentage = (225 / 150) × 100%
Percentage = 1.5 × 100%
Percentage = 150%. So, 225 is 150% of 150.
Andre had lots of Halloween cand. He ate the same amount of candy each day. After 10 days he had 115
pieces. After 18 days he had 43 pieces. How many will he have after 22 days?
Answer:
he had 343 pieces of candy after 22 days
Step-by-step explanation:
You can find this by first divide 10/ 115 this is equal to 15.5 to find how many candies he eats per day. Then you multiply 15.5 by 22(days) to find this answer .
Andre eats 9 pieces of candy per day. After 18 days, he had 43 pieces. By calculating his daily consumption, we can deduce that after 22 days, Andre will have 7 pieces of candy left.
The question asks us to determine how many pieces of candy Andre will have after 22 days, given the information on how many he had after 10 and 18 days.
First, let's find out how much candy Andre eats each day. After 10 days, he had 115 pieces, and after 18 days, he had 43 pieces.
Calculate the difference in the number of days: 18 - 10 = 8 days.Calculate the difference in the amount of candy: 115 - 43 = 72 pieces.Divide the candy difference by the days' difference to find out how much candy he eats daily: 72 pieces / 8 days = 9 pieces/day.Find out how many days are between day 18 and day 22: 22 - 18 = 4 days.Calculate the amount of candy Andre will eat in 4 days: 9 pieces/dayTherefore, Andre will have 7 pieces of candy left after 22 days.
distributive property to simplify 64-16
Final answer:
The expression 64-16 simplifies to 48, and does not need the distributive property for simplification as it is a straightforward subtraction.
Explanation:
The question is asking to use the distributive property to simplify the expression 64-16. While this expression doesn't necessarily require the distributive property as it's a simple subtraction, sometimes in mathematics we leverage distributive properties or other algebraic rules to simplify or reorganize expressions. However, if we have a closer look at the provided reference information, none of it relates directly to the expression 64-16, which simplifies to 48. Therefore, there's no need to apply the distributive property here; the expression is already in its simplest form.
20 POINTS!!
What is the GCF of 24 a^3b and 36 ab^2?
a. 2 ab
b. 4 a^3b
c. 12 ab
d. 72 a^3b^2
Answer:
option c - 12 ab
Step-by-step explanation:
Two numbers are , 24 a³b and 36 a b².
The meaning of G C F between two number is that greatest number which divide both the number.
We will factorize , 24 a³b and 36 a b² and take out the common factors to determine their G CF.
24 a³ b= 2×2×2×3×a×a×a×b
36 a b²=2×2×3×3×a×b×b
G C F(Greatest common factor)=2×2×3×a×b
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Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of Tank A to Tank B is 11:15.
How much water is in Tank A?
363 gallons of water is in Tank A
Solution:
Water tank A has a capacity of 550 gallons and is 66% full
Let, w = 550
p = 66 % = 0.66
The percent equation is: a = p . w
where,
"a" is the gallons of water in Tank A
p is the percent in fraction or decimal form
w is the capacity of tank A
Therefore,
[tex]a = 0.66 \times 550\\\\a = 363[/tex]
Thus 363 gallons of water is in Tank A
Use what you know about decimals or fractions to explain why (0.2)⋅(0.002)=0.0004.
Answer:
you take 0.002 and multiply this by 0.2, to then get your answer of 0.0004
Step-by-step explanation:
slope 3, y-intercept 6
Given the system
2X + 3Y = 18
-2X + 5Y = 14
Explain how you would solve this system using combination. Give the solution as a coordinate pair (X,Y)
2. Given the system
3x + 4y = 5
2x +7y = 12
Explain how you would solve this system using combination. Give the solution as a coordinate pair (X,Y)
Answer:
1.Therefore the solution of given system is (3,4)
2.Therefore the solution of given system is (-1,2)
Step-by-step explanation:
1.
Given the system
2x +3y =18...........(1)
-2x+5y =14...........(2)
Adding the equation (1) and (2)
2x+3y-2x+5y= 18+14
⇔8y = 32
⇔[tex]y = \frac{32}{8}[/tex]
⇔y = 4
Putting the value of y in equation (1)
2x + 3. 4=18
⇔2x+12 =18
⇔2x = 18-12
⇔2x = 6
⇔x =3
Therefore the solution of given system is (3,4)
2.
Given the system
3x +4y = 5..........(a)
2x +7y =12...........(b)
Equation (a) ×2 - equation (b)×3
2(3x+4y)- 3(2x+7y) = 2.5 -12.3
⇔6x + 8y -6x -21y = 10-36
⇔ -13y = -26
⇔[tex]y=\frac{-26}{-13}[/tex]
⇔y = 2
Putting the value of y in equation (a)
3x +4.2 =5
⇔3x = 5 -8
⇔3x = -3
⇔x = -1
Therefore the solution of given system is (-1,2)
helpppppppppppppppppp
Answer:
[tex]13 \frac{1}{8} + 21 \frac{3}{4} = 13 \frac{1}{8} + 21 \frac{6}{8} = 34 \frac{7}{8} [/tex]
[tex]35 \frac{1}{2} - 34 \frac{7}{8} = 35 \frac{4}{8} - 34 \frac{7}{8} = 34 \frac{12}{8} - 34 \frac{7}{8} = \frac{5}{8} [/tex]
The correct answer is C.