Answer:
Step-by-step explanation: 0.3 repeating can be made rational by turning it into 1/3.
[tex]\bf 0.\overline{3}\qquad \qquad x=0.\overline{3}\qquad \qquad \begin{array}{llll} 10\cdot x&=&3.\overline{3}\\\\ 100\cdot x&=&33.\overline{3} \end{array}\qquad \qquad \begin{array}{rllll} \stackrel{100x}{33.\overline{3}}\\\\ -\stackrel{10x}{3.\overline{3}}\\ \cline{1-1} 30.0 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x-10x=30\implies 90x=30\implies x=\cfrac{30}{90}\implies x=\cfrac{1}{3}[/tex]
Weighs 600 grams how much will it way in pounds
What is the perimeter of the figure
Answer:
68 1/2 yd or 68.5 yd
Step-by-step explanation:
You need to add all of the sides (of the figure) to find out what the perimeter is.
Answer:
B
Step-by-step explanation:
sandra raised 15 dollars for pta and nita raised 45 dollars how many times as much money did nita raise as compared to sandra
Answer:
3 times (3x)
Step-by-step explanation:
Sandra raised 15 dollars.
Nita raised 45
45 divided by 15 is 3
3 * 15 = 45
Final answer:
To find out how many times more money Nita raised compared to Sandra, divide Nita's amount ($45) by Sandra's amount ($15) to get a factor of 3. Thus, Nita raised three times as much money as Sandra.
Explanation:
The question asks us to calculate how many times more money Nita raised compared to Sandra. Since Sandra raised $15 and Nita raised $45, we can find the multiplicative factor by dividing the amount Nita raised by the amount Sandra raised.
To find out how many times the money raised by Nita compares to that of Sandra, we can use the formula:
Multiplier = Nita's Amount / Sandra's Amount
Multiplier = $45 / $15
Multiplier = 3
So, Nita raised three times as much money as Sandra did for the PTA.
When Spencer was 5, he was 28 inches tall. Today he is 5 feet 3 inches tall. What is the percent increase in Spencer’s height?
I appreciate any help! Thank you!
Answer:
The percentage increase in Spencer’s height is 125 %
Solution:
[tex]\begin{array}{l}{\text { Percentage increase }=\frac{\text { change in height }}{\text { initial height }} \times 100 \%} \\\\ {\text { percentage increase }=\frac{\text { increased height - initial height }}{\text { initial height }} \times 100 \%}\end{array}[/tex]
Initial height of spencer = 28 inches
Increased height of spencer = 5 feet 3 inches
= 5 feet + 3 inches
(5 feet = 5 ×12=60 inches)
= 60 + 3
[tex]\begin{array}{l}{\text { Increased height }=63 \text { inches }} \\ {\text { Percentage increase }=\frac{63-28}{28} \times 100 \%} \\\\ {=\frac{35}{28} \times 100 \%} \\\\ {=1.25 \times 100 \%} \\ {\text { percentage increase in height of spencer }=125 \%}\end{array}[/tex]
Solve a+b=9; 2b+2c=13; 2a-c=11 unknowly
Answer: a = 17/2 and b =1/2 and c = 6
Step-by-step explanation:
the system is : a+b=9...........(1)
2b+2c=13 .......(2)
2a-c=11 ...........(3)
by (1) and (2) calculate : a and b
by (3) : 2a = 11 +c
so : a = (11+c)/2.....( *)
by (2) : 2b = 13 -2c
so : b =(13-2c)/2......(**)
put the value for a and b by (*) and (**) in (1) :
(11+c)/2. + (13-2c)/2 = 9
(11+c +13-2c)/2 = 9
24-c =18
c = 24-18
c = 6
put this value in (*) and (**)
a = (11+6)/2
a = 17/2
b = (13-12)/2
b =1/2
yoi can verify : 1) a+b = 9 : 17/2 +1/2 = 18/2 = 9 .....right
2) 2b+2c=13 : 2(1/2)+2(6) =1+12 = 13 .....right
3) 2a-c=11 : 2(17/2)-6 =17-6 = 13.......right
Translate 4n-5 To verbal statement
The algebraic expression 4n-5 translates verbally to 'four times a number minus five.'
Explanation:To translate the algebraic expression 4n-5 into a verbal statement, consider the components of the expression. The '4n' part indicates four times a number 'n', and '-5' signifies that five is subtracted from the product of four and the number. Thus, the verbal statement of the expression is 'four times a number minus five.'
The complete question is:Translate 4n-5 To verbal statement
The algebraic expression 4n - 5 translates to "Five subtracted from the product of 4 and a number."
In Mathematics, an algebraic expression is a type of mathematical equation which is typically used for showing the relationship existing between two (2) or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.
Generally speaking, the variable x is typically used for denoting an independent variable.
Based on the given algebraic expression 4n - 5, a word problem that represents the expression can be written as "Five subtracted from the product of 4 and a number."
Andrew bought a computer for $650, a printer for $135.89, and two printer cartridges for
$28.79 each.
How much did Andrew spend in all?
Answer:
814.68
Step-by-step explanation:
[tex]650+135.89+28.79=814.68[/tex]
Answer:
$843.47
Step-by-step explanation:
First off I added 650 to 135.89 to get 785.89. Then I added 57.58 because Andrew bought 2 cartridges. Add 57.58 to 785.89, and you get your answer.
Please help
Put these numbers lowest to greatest -7 /34, -7.5, -7.05, -7.9
Least to Greatest:
-7.9, -7.5, -7.05, -7/34
rewrite equation to solve for m 4n-6m=-2
Answer:
Step-by-step explanation:
4n - 6m = - 2 Subtract 4n from both sides.
4n-4n - 6m = -2-4n
-6m = - 2 - 4n Divide by - 6
-6m/-6= -2/-6 -4n/-6 Do the division
m = 1/3 + 2n/3
The signs change because each term has 2 minus signs. 2 minus signs make a plus. Or both minus signs cancel.
the difference of twelve times a number and nine times the number
Answer:
3 times a number (3x)
Step-by-step explanation: replace the phrase 'a number' with the variable X. then you simply end up with 12x-9x, which equals 3x.
The difference between twelve times a number and nine times the number will be three times a number.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the difference between twelve times a number and nine times the number.
Let the number be x now the mathematical expression of the number is:-
12x - 9 x = 3x
Therefore, the difference between twelve times a number and nine times the number will be three times a number.
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what is the value of x+(-x)
Answer: 0
Step-by-step explanation: so lets say that x is 4 so 4 + - 4 is 0
Solve for x. Round your answer to the nearest hundredth.
13.48X – 200 < 256.12
x> 33.84
x< 33.84
x < 4.16
x>4.16
Step-by-step explanation:
13.48x - 200 < 256.12
+200 +200
13.48x < 456.12
divide by 13.48 on both sides
x < 33.84
so your answer is the second one
Answer:
ik im late sry
Step-by-step explanation:
13.48x - 200 < 256.12
+200 +200
13.48x < 456.12
divide by 13.48 on both sides
x < 33.84
so your answer is the second one
Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer if she randomly chooses a pen from her drawer what is the probability that she will choose a black pen
Answer: 3/11
Because there are 3 black pens and 5 blue and 6 red its 3 out of 11 so it should be 3/11 im not good at explaining just trust me
The probability that she will choose a black pen is 3/14.
Given,
Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer.
She randomly chooses a pen from her drawer.
We need to find out what is the probability that she will choose a black
pen.
What is probability?
The ratio of the number of required events to the number of possible
outcomes of the events.
Example: Tossing the head of a coin.
Number of heads in a coin = 1
Total possible outcome = {head, tail} = 2
P = 1 / 2
We use a combination if we have to select a number of events from total
items.
It is given by:
[tex]^nC_{r}[/tex] = n! / r! (n-r)!
r = required number of items.
n = total number of items.
Find the probability that she will choose a black pen.
Number of pens = 5 blue pens + 3 black pens + 6 red pens = 14 pens
Number of black pens = 3 pens
Probability
= [tex]^3C_{1}[/tex] / [tex]^{14}C_{1}[/tex]
= (3! / 2! ) / ( 14! / 13! )
= 3 / 14
Thus the probability that she will choose a black pen is 3/14.
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3x+2A=2h solve for x
Answer:
x = (2/3)h - (2/3)A
Step-by-step explanation:
You are solving for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS. Solve:
First, subtract 2A from both sides:
3x + 2A = 2h
3x + 2A (-2A) = 2h (-2A)
3x = 2h (-2A)
3x = 2h - 2A
Isolate the variable, x. Divide 3 from both sides.
(3x)/3 = (2h - 2A)/3
x = (2h - 2A)/3
x = (2/3)h - (2/3)A is your answer.
~
Answer:
x=2h-2A/3
Step-by-step explanation:
it's done by making x the subject in the relation
maintain the 2h and move the 2A to the right side of the equation.making it 3x=2h-2Amaking x the subject by dividing through by 3x=2h-2A/3is 592,682 greater than 591,683
Answer:
yes
Step-by-step explanation:
Answer:
Yes!
Step-by-step explanation:
Greater than means is it Bigger?
Using Subtraction, we can find that 592,682 is 999 Greater Than 591,683
Is 2 * 17 5/6 greater than or less than 36? Explain
Final answer:
The multiplication of 2 by 17 5/6 results in 214/6, which is less than 36 when compared as fractions (since 36 is 216/6). Therefore, 2 * 17 5/6 is less than 36.
Explanation:
The student asked if 2 * 17 5/6 is greater than or less than 36. To solve this, first convert 17 5/6 to an improper fraction which is (17 * 6) + 5 = 107/6. Then multiply by 2 to get:
2 * (107/6) = 214/6
To compare it to 36, you can convert 36 into a fraction with the same denominator, which would be:
36 = 216/6
Now you can see clearly:
214/6 is less than 216/6 which means that 2 * 17 5/6 is less than 36.
So, 2 * 17 5/6 is not greater than 36; it's a bit smaller than 36.
Please work out question number 12 with working and answer. I'm stuck help please.
Answer:
£40
Step-by-step explanation:
Sum the parts of the ratio 5 + 1 = 6 parts
Divide £48 by 6 to find the value of one part of the ratio
£48 ÷ 6 = £8 ← value of 1 part of the ratio
Thus the larger part of the ratio is
5 × £8 = £40
Lisa writes the following list of numbers.
5.737737773..., 26,45 squared 0,9
Question 1.
a. Which numbers are rational?
Question 2
b. Which numbers are irrational?
In the provided list, 26 and 0.9 are rational numbers. The number 5.737737773... and 45 squared (meant as the square root of 45) are irrational numbers.
Explanation:In the mentioned list, the number 26 and the fraction 0.9 are rational numbers. A rational number can be expressed as a fraction where both the numerator and the denominator are integers (the denominator cannot be zero), and these numbers satisfy this condition. Examples of rational numbers include integers, fractional numbers, and decimals that terminate or repeat.
The number 5.737737773... and 45 squared (assuming it refers to the square root of 45) are irrational numbers. An irrational number is a number that cannot be expressed as a simple fraction. In the case of 5.737737773..., it seems to be a repeating decimal but the pattern is broken which makes it irrational. The square root of 45 is also irrational because it does not produce a simple fraction and its decimal form does not terminate or repeat.
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What is 1,424,000,000 in scientific notation
1424000000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred fifty-four divisors.-by-step explanation:
1.424 × 10 to the ninth power
Evaluate. Write your answer as a fraction in simplest form. 1 5/9÷(−2/3)+(−2 3/5)
To solve the expression, remember the order of operations: convert mixed numbers to improper fractions, perform division by flipping the divisor and multiplying, then add the fractions using the least common denominator. The result is -74/15.
Explanation:To solve this kind of mathematical expression in the correct order, we need to remember PEMDAS principle (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, convert the mixed numbers into improper fractions. To convert 1 5/9 to an improper fraction, multiply the denominator by the whole number and add the numerator. This gives, 1 5/9 = 9*1+5/9 = 14/9. Similarly, -2 3/5 = -5*2+3/-5 = -13/5.Next, divide 14/9 by -2/3. Dividing fractions involves flipping the divisor and multiplying. So, 14/9 ÷ -2/3 becomes 14/9 × -3/2 = -42/18, which reduces to -7/3 in its simplest form.Finally, add -7/3 to -13/5. When adding fractions, first find the least common denominator (LCD), which in this case would be 15. -7/3 is -35/15 and -13/5 is -39/15. Adding these two together gives -74/15.So, 1 5/9÷(−2/3)+(−2 3/5) = -74/15 in simplest form.
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The simplified result is −74/15. Convert mixed numbers to improper fractions, perform division by multiplying by the reciprocal, and add the fractions.
To evaluate the expression [tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex] , follow these steps:
Convert mixed numbers to improper fractions:
[tex]{1 \, \frac{5}{9}[/tex] = [tex]\frac{14}{9}[/tex][tex]{-\frac{2}{3}[/tex] = [tex]-\frac{13}{5}[/tex]Change the division to multiplication by the reciprocal:
[tex]\[ \left(\frac{14}{9}\right) \div \left(-\frac{2}{3}\right) = \left(\frac{14}{9}\right) \times \left(-\frac{3}{2}\right) = -\frac{42}{18} = -\frac{21}{9} = -\frac{7}{3} \][/tex]Now, add the fractions:
[tex]\[ -\frac{7}{3} + \left(-\frac{13}{5}\right) = \left(-\frac{7}{3} \times \frac{5}{5}\right) + \left(-\frac{13}{5} \times \frac{3}{3}\right) = -\frac{35}{15} - \frac{39}{15} = -\frac{74}{15} \][/tex]Final answer is :
−74/15First convert mixed numbers to improper fractions, then perform division by multiplying by the reciprocal, and finally add the fractions together. This gives the final simplified result of −74/15.
Corrected question:
Evaluate. Write your answer as a fraction in simplest form.
[tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex]
13. A reflection of the rectangle over which line will map the rectangle onto itself?
a. y = 0 b. y=2_c. y=x d. y = 2x
Answer:
Step-by-step explanation:
Y=2
Reflection of a rectangle over the x-axis (y = 0) will generally cause it to map onto itself. The other given lines (y = 2, y = x, and y = 2x) will not typically have this result, unless the rectangle is specifically located on the plane.
Explanation:In geometry, a shape maps onto itself under reflection when it is reflected over a line that bisects it symmetrically. With a rectangle, this can occur when it is reflected over the x-axis or y-axis, assuming the rectangle's sides are parallel to the axes. From the given options, only y = 0 (x-axis) could create this type of reflection.
Reflection over the line y = 0 will leave a rectangle in the same position if its height is evenly distributed above and below the x-axis. For lines like y = 2, y = x, and y = 2x, they would not bisect a rectangle symmetrically unless the rectangle is specifically positioned, so they will not generally result in the rectangle mapping onto itself.
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Can someone explain to me how to do questions 6-8 because I understand how to do 3-5 now. Can you explain to me how you do this please ? I have a test tomorrow
Answer: 6. 4,2
7. 3,2
8. 5,2
please forgive me if i am incorrect.
Answer:
see explanation
Step-by-step explanation:
Using the midpoint formula to equate the x and y coordinates of the endpoints to the x and y coordinates of the midpoint, that is
(6)
let ( x, y ) be the coordinates of the required endpoint, then
x → [tex]\frac{x+6}{2}[/tex] = 2 ( multiply both sides by 2 )
x + 6 = 4 ( subtract 6 from both sides )
x = - 2 and
y → [tex]\frac{y+2}{2}[/tex] = 0 , thus
y + 2 = 0 ( subtract 2 from both sides )
y = - 2
Coordinates of the other endpoint = (- 2, - 2)
(7)
x → [tex]\frac{x-4}{2}[/tex] = - 1 ( multiply both sides by 2 )
x - 4 = - 2 ( add 4 to both sides )
x = 2 and
y→ [tex]\frac{y+3}{2}[/tex] = - 1 ( multiply both sides by 2 )
y + 3 = - 2 ( subtract 3 from both sides )
y = - 5
Coordinates of the other endpoint = (2, - 5)
(8)
x → [tex]\frac{x+7}{2}[/tex] = 2 ( multiply both sides by 2 )
x + 7 = 4 ( subtract 7 from both sides )
x = - 3 and
y → [tex]\frac{y+3}{2}[/tex] = 1 ( multiply both sides by 2 )
y + 3 = 2 ( subtract 3 from both sides )
y = - 1
Coordinates of the other endpoint = (- 3, - 1)
31pts!! simplify the following expression. 5^-5/2 • 5^9/2
A. 625
B. 25
C. 1/25
D. 5
Answer: 25
Step-by-step explanation:
Since the exponents have the same denominator, you multiply the coefficients. In this case you multiply 5 times 5.
BRAINLIEST PLEASE HELP <3
Answer:
10(2x22) is not an example of distributive property. That would equal 10x44 not 12x22
Answer:
C does not mean 12 x 22 as you do what is inside the brackets first and this would mean it is 2.22 x 10
Step-by-step explanation:
C=2ar for r
Helppppp idk what to do tbh
To solve for a variable means to isolate the variable on one side of the equation.
C = 2ar
Simply divide both side by 2a.
Answer: C/2a = r
Done.
what is the fraction and decimal for 88%
Step-by-step explanation: To write a percent as a fraction in lowest terms, remember that a percent is a ratio that compares a number to 100. In this example, 88% can be written as the ratio 88 to 100 or 88/100. Notice however that 88/100 is not in lowest terms so we need to divide both the numerator and denominator by 4 to get 22/25.
Therefore, 88% can be written as the fraction 22/25.
Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 88% as the ratio 88 to 100 or 88 divided by 100. Remember that dividing by 100 moves the decimal point two places to the left so 88 divided by 100 would move the decimal point two places to the left which would give us .88 or 0.88.
Therefore, 88% can be written as the decimal 0.82.
Expand (3x+8)^2
If necessary, combine like terms
Answer:
9x^2+48x+64
Step-by-step explanation:
This table shows the distance traveled by a car and the car’s average speed on different days. A three column table with six rows. The first column, Day, has the entries 3, 4, 5, 6, 7. The second column, Average Speed in miles per hour, has the entries, 55, 58, 63, 65, 68. The third column, Distance in miles, has the entries, 495, 660, 825, 990, 1,155. Given that the days are the independent variable, which dependent variable has a constant rate of change? What is the constant rate of change?
The Dependent variables are Average speed and Distance and the rate of change in distance is constant.
Day ____ Average Speed __ Distance
3 __________ 55 __________ 475
4 __________ 58 __________ 660
5 __________ 63 __________ 825
6 __________ 65 __________ 990
7 __________ 68 __________ 1155
The dependent variables are Average speed and Distance.
The rate of change is the change in the dependent variable per change in the independent variable.
Average speed :
The rate of change in speed for the different days is not constant.
Between Day 4 and 3 :
58 - 55 = 3
Between Day 5 and 4 :
63 - 58 = 5
Distance in miles :
Rate of change in distance for the different days is constant
Between Day 4 and 3 :
660 - 475 = 165
Between Day 5 and 4 :
825 - 660 = 165
Between Day 6 and 5 :
990 - 825= 165
Between Day 7 and 6 :
1155 - 990 = 165
Therefore, the rate of change in distance per day is 165 for days 3 to 7.
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Answer:
Distance and 165
Step-by-step explanation:
got it right
10(1 – 2y) = -5(2Y - 1)
Answer:
y =1/2
Step-by-step explanation:
solve for ; y
10(1 – 2y) = -5(2Y - 1)
-10(2y-1) +5(2Y - 1) =0
(2y-1)(-10+5) = 0
-5(2y-1) =0
2y-1=0
y = 1/2
Answer:
y = 1/2
Step-by-step explanation:
1) 10(1 - 2y) = -5(2y - 1)
Multiply 10 into the parentheses, then multiply -5 into the parentheses.2) 10 - 20y = -10y + 5
Remember, double negatives when multiplying make positive numbersNext, switch -10y with 5 so you'll have like terms on each side.3) 10y - 20y = -10 + 5
When you switch terms, you change the signs of them to either negative/positive. Now, subtract 10y - 20y & add -10 & 5 together.4) -10y = -5
Divide -10 into -5.5) y = -5/-10
What is present above is not the correct answer. You must simplify the fraction, & make the fraction a positive one.6) y = 1/2
Now you have your answer. 10(1 - 2y) = -5(2y -1) is 1/2 or 0.5
Here's how to check your answer.
10(1 - 2(1/2)) = -5(2(1/2) - 1)
10(1 - 1) = -5(1 - 1)
2 times 1/2 equals 2/2, which would then be revised to 1.10(0) = -5(0)
0=0
8-3x=17 solve for x and check your answer.
Answer:
x = 3
Step-by-step explanation:
8 - 3x = 17
You have to switch the 8 to the other side. To do this, you would have to move it after the 17 and add a minus to it, making it a -8 (this is because when a number is switched to the other side of the '=' sign, the number gets 'mirrored' aka positive numbers become negative and negative numbers become positive).
3x = 17 - 8
3x = 9
Now you have to do the same thing you did with 8 but instead you have to do it with 3. Since 3 has an invisble 'times sign' by it, the number after the equals will be divided by 3 in this case so...
x = 9 ÷ 3
x = 3
Answer: -3
Step-by-step explanation:
8-3x=17
-8 on both side to cancel it out
-3x=9
divide -3 on both sides
which would equal to -3
To check
8-3(-3)=17
8+9=17
17=17