Answers
If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.
What is work?The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.
For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Mathematically, the above statement is expressed as follows:
W = (F cos θ) d = F. d
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Related Questions
What is the perimeter of this 48" by 60" rug?
Answers
the admission fee at an amusement park is $2.00 for children and $7.00 for adults. on a certain day, 299 people entered the park, and the admission fees collected totaled $1573. how many children and how many adults were admitted?
Answers
Answer:
104 children and 195 adults
Step-by-step explanation:
let a represent number of adults and c represent number of children , then
a + c = 299 → (1)
7a + 2c = 1573 → (2)
multiplying (1) by - 2 and adding to (2) will eliminate c
- 2a - 2c = - 598 → (3)
add (2) and (3) term by term to eliminate c
5a + 0 = 975
5a = 975 ( divide both sides by 5 )
a = 195
substitute a = 195 into (1) and solve for c
195 + c = 299 ( subtract 195 from both sides )
c = 104
104 children and 195 adults were admitted
PLS HELP ON THIS 50-(-20)
Answers
I'm stuck with my math word problem pls helped me
2/2
Answers
Answer:
A. [tex]\frac{c}{11} *7-48[/tex]
Step-by-step explanation:
Corey is designing a rectangular garden. the garden's diagonal must be 15.6 feet, and the ratio between the garden's base and height must be 12 : 5. find the length of the garden's base and height.
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The base of the garden is 14.4 feet.
The height of the garden is 6 feet.
Given,
Corey is designing a rectangular garden;
The diagonal of the garden = 15.6 feet
Ratio between garden's base and height = 12:5
We have to find the length of base and height of the garden.
Here,
Diagonal of a rectangle, d = [tex]\sqrt{base^{2}+ height^{2} }[/tex]
Base = 12x
Height = 5x
Then,
Diagonal, 15.6 = [tex]\sqrt{(12x)^{2} + (5x)^{2} }[/tex]
15.6 = [tex]\sqrt{144x^{2} +25x^{2} }[/tex]
15.6 = √169x²
15.6 = 13 √x²
15.6 = 13x
x = 15.6/13
x = 1.2
Then,
Base of the garden = 12 x 1.2 = 14.4 feet
Height of the garden = 5 x 1.2 = 6 feet
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Which set of points would NOT define a function? A) {(-2,-2), (-1,-1), (0, 0), (1, 1), (2, 2)} B) {(-2,9), (0, 1), (1,0), (3, 4), (4,9)} C) {(-1,0), (0, 1), (0, -1), (3, 2), (3,-2)} D) {(-6, 2), (-5, 1), (-4,0), (-3, 1), (-2, 2)}
Answers
In order to a set o points define a function, a value of x can't have two different values of y.
Looking at every option, we have in the option C that the value of x = 0 has two different values of y (1 and -1), therefore this set of points do not define a function.
So the answer is C.
2x+y = 2
Step 1 of 2: Determine the missing coordinate in the ordered pair (4, ?) so that it will satisfy the given equation.
Answers
Answer:
Substitute x = 4 into the equation to find y.
2(4) + y = 2
8 + y = 2
y = -6
To check if it satisfies the equation, substitute values of x and y into the equation.
2(4) + (-6) = 2
8 - 6 = 2
Since, it satisfies the equation, the missing coordinate is -6.
2(4)+y=2
now multiply 2 by 4 to remove parentheses
8+y=2
subtract by 8 on both sides
y=-6
if you want to check if this is correct, simply change y to -6
2(4)+(-6)=2
8+(-6)=2
the registrar of a college examined the grade point averages of different categories of students. the results showed that the probability of a meaningful difference between men and women was .27. using the most common standard, is this a statistically significant difference?
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The difference of 0.27 is not statistically significant.
A statistically significant difference indicates if the responses of one group differ significantly from those of another when using statistical testing.
The statistically significant differences between the numbers really aid in your data analysis. It is up to you how to interpret or act on your results, therefore you should also think about if they are significant.Let's imagine, for instance, that you get more consumer complaints from women than from men. How do you know that this is a genuine issue that has to be addressed? To find out if your male consumers are significantly more satisfied with your goods, doing a poll is a terrific technique. Our statistical significance tool can assist you in determining whether males are considerably more satisfied with your goods than women using a statistical formula. This enables you to base decisions on facts rather than anecdotes.Now we know that any data of t-statistic that is greater than 1.96 is statistically significant.
Now the difference is 0.27. Hence it is not statistically significant.
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Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide each tile is 4 1/2 inches wide how many whole dose he need
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the width of the wall is 21 3/8 = 171/8
the width of a tile is 4 1/2 = 9/2
so the number of tiles is
(171/8) / (9/2) = 171x2 / (9 x8) = 4.75
so the no of tiles needed is 5.
I dont know how to do this help!
Answers
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{48}[/tex] is not in simplest form, however, 48 contains a perfect square as a factor, that is 16 × 3
using the rule of radicals
[tex]\sqrt{ab}[/tex] ⇔ [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] , then
[tex]\sqrt{48}[/tex]
= [tex]\sqrt{16(3)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]
= 4[tex]\sqrt{3}[/tex] ← in simplest form
math is not fun please help
Answers
Answer:
∠ RST = 22°
Step-by-step explanation:
since ∠ RSU = 91°
and ∠ TSU = 69°
so ∠ RST = 22°
HOW:
given that;
∠ RSU = 91°
and
∠ TSU = 69°
we would subtract 69° from 91°
91°-69°= 22°
Estimate what fraction of the 900-mile trip the car has traveled. Write your answer in simplest form.
Answers
Based on the distance of the entire trip, the fraction of the trip that the car has travelled is 514 ²/ ₇.
How far has the car gone?The diagram is divided into 7 parts which means that each part can be said to be:
= 1/7 of the journey
The car is in the 4th part so that means that the fraction of the trip that has been traveled is:
= 4 / 7
Given the total miles of the trip, this would be:
= 4/7 x 900
= 514.29
= 514 + 29 / 100
= 514 ²/ ₇
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The exponential model A = 64.5 e0.020describes the population, A, of a country in millions, t years after
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The exponential model A=64.5e^0.02t describes the population, A of a country in millions, t years after 2003. The population of the country will be 108 million in
we have the expression
A=64.5e^0.02t
For A=108
substitute
108=64.5e^0.02t
108/64.5=e^0.02t
Apply ln both sides
ln(108/64.5)=ln(e^0.02t)
ln(108/64.5)=0.02t(ln(e))
ln(108/64.5)=0.02t
solve for t
t=ln(108/64.5)/0.02
t=26 years
therefore
2003+26=2029
answer is
year 2029Noah was asked to compute the product of two numbers. He misread the problem and entered the sum of the two numbers instead. Luckily he still got the right answer. One of the two numbers is $5$. What is the other number?
Answers
Answer:
1.25
Step-by-step explanation:
5 X 1.25 is 6.25 and 5 + 1.25 is 6.25
Find the solutions to the equations 20+brainliest
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The solutions to the rational equation x / (x + 4) = 20 / (x² + 3 · x - 4) + 2 / (x - 1) are 7 and - 4, respectively.
How to simplify a rational equationIn this problem we find a rational equation that must be solved for x by means of algebraic properties. The complete procedure is shown below:
Step 1 - We have the following expression:
x / (x + 4) = 20 / (x² + 3 · x - 4) + 2 / (x - 1)
Step 2 - Factor x² + 3 · x - 4:
x / (x + 4) = 20 / [(x + 4) · (x - 1)] + 2 / (x - 1)
Step 3 - By existence of multiplicative inverse, modulative, associative and commutative properties:
[x · (x - 1)] / [(x + 4) · (x - 1)] = 20 / [(x + 4) · (x - 1)] + [2 · (x + 4)] / [(x + 4) · (x - 1)]
Step 4 - By compatibility with multiplication, existence of multiplicative inverse, modulative, associative and commutative properties:
x · (x - 1) = 20 + 2 · (x + 4)
Step 5 - By distributive property:
x² - x = 20 + 2 · x + 8
Step 6 - By compatibility with addition, distributive, modulative and associative properties:
x² - 3 · x - 28 = 0
Step 7 - Factor x² - 3 · x - 28:
(x - 7) · (x + 4) = 0
Step 8 - By understanding the factors found in the previous, we get the folowing result:
x = 7 or x = - 4 Result
The solution to the equation are 7 and - 4.
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Match each expression on the left with its equivalent on the right. Some answer choices on the right will not be used.
1,500 × 100
15
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Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Explain about the expression?You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.
The idea of an expression number makes use of the method of allocating single-digit numbers (1 to 9) to the letters of the English alphabet, starting with A. The main mathematical advancements utilizing these number patterns are highlighted in the next section.
An expression is, for instance, 3x - 2. While an equation, on the other hand, denotes the connection between two separate expressions via an equal to sign.
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10 Which relation is a function?
y =
X
-1
0
1
1
2
3
(1)
y
1
0
1
2
4
9
(x,-1
(x², 2
(2)
y
(3)
{(0,1), (2,3), (3,2), (3,4)}
(4)
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Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. Who had a head start, and how many miles was the head start?
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If each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. The person that had a head start is: Rita had a 28-mile head start.
Determining the speedSlope for speed = (y² - y1) / (x² - x1)
Slope for speed = (130 - 65) / (2 - 1)
Slope for speed= 65 / 1
Slope for speed= 65 mph
Determining Roger's starting position if Roger distance is 65.
Hence,
Mile of head start = Slope of speed - Roger distance
Mile of head start = 65 mph - 65 miles
Mile of head start = 0 miles
Rita starting position if Rita distance is 93
Slope for speed = (y² - y1) / (x² - x1)
Slope for speed = (158 - 93) / (2 - 1)
Slope for speed = 65 / 1
Slope for speed = 65 mph
Mile of head start = Slope of speed - Rita distance
Mile of head start = 93 - 65
Mile of head start= 28 miles
Therefore we can conclude that Rita has a head start of 28 miles.
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Answer:
Rita had a 28-mile head start.
Step-by-step explanation:
EDGE
Create an equivalent expression for 17^-7 • 17^5.
1/17²
1/17-²
17²
-17²
Please please pleaseee! I’m so dead if I don’t get this!
Answers
The equivalent expression for the indices is 17⁻⁷ × 17⁵ is 1/17²
How to create an equivalent expression for 17⁻⁷ × 17⁵?Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices.
We have different Laws of Indices, but the one applicable to this question is the product law and reciprocal law.
Product law: To multiply two variables or numbers with the same base, we need to add their powers and raise them to that base": 5² x 5³ = 5²⁺³ = 5 and P⁴ + P⁶ = P¹⁰
Reciprocal Law: If the index is a negative value, then it can be shown as the reciprocal of the positive index raised to the same variable:
8⁻² = 1/8² and b⁻⁶ = 1/b⁶
Let's use the two laws to create an equivalent expression for 17⁻⁷ × 17⁵:
17⁻⁷ × 17⁵ = 17⁻⁷ ⁺ ⁵ = 17⁻² = 1/17²
Therefore, the equivalent expression for 17⁻⁷ × 17⁵ is 1/17². The 1st option is the answer.
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What is the value of the the 9 in 194.6
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The place value of 9 in 194.6 is tens or 90.
According to the question,
We have the following expression:
194.6
Now, we know that place value of any digit can be found easily. The place value of the digit at the right most corner (of a number without any decimal point) is unit, left to this digit we have place value of tens, then we have hundred, then thousand, ten thousand, etc.
Now, in this case, we have a decimal point. So, we will look at the last digit before the decimal point because it's place value is unit place. And the next left digit to this is tens.
Hence, the place value of 9 in 194.6 is tens.
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what is the slope of PV
Answers
Answer: -4 (-4/1)
Step-by-step explanation:
Slope is the rate of change, or rise over run. So in this case it is negative because to get from p to v we have to go down. Sow e go down 4, and across one, but we just say -4.
find the solution of the system of equations
9x+y=28
3x+3y=-12
Answers
Answer:
(4, - 8 )
Step-by-step explanation:
9x + y = 28 ( subtract 9x from both sides )
y = 28 - 9x → (1)
3x + 3y = - 12
substitute y = 28 - 9x into (2)
3x + 3(28 - 9x) = - 12 ← distribute parenthesis on left side and substitute
3x + 84 - 27x = - 12
- 24x + 84 = - 12 ( subtract 84 from both sides )
- 24x = - 96 ( divide both sides by - 24 )
x = 4
substitute x = 4 into (1)
y = 28 - 9(4) = 28 - 36 = - 8
solution is (4, - 8 )
1.2.1 The number of pieces of ropes for FIVE cuts. 1.2.2 The general formula (Ta), for the number of rope pieces. 1.2.3 How many rupe cuttings will make up 153 rope pieces? 1.2.4 How many ropes pieces will result from 11 cuttings? 5 Please tu
Answers
Step 1
The number of pieces for 5 cuts is
[tex]7+4=11[/tex]Step 2
The general formula Tn, for the number of rope pieces is
[tex]\begin{gathered} a=3 \\ d=2 \\ T_n=3+(n-1)2 \\ T_n=2n+1 \end{gathered}[/tex]Step 3
How many rope cuttings will make up 153 rope pieces
[tex]\begin{gathered} 153=2n+1 \\ 152=2n \\ \frac{152}{2}=\frac{2n}{2} \\ n=76\text{ rope cuttings} \end{gathered}[/tex]Step 4
How many ropes pieces will result from 11 cuttings
[tex]\begin{gathered} T_n=2(11)+1 \\ T_n=23\text{ rope pieces} \end{gathered}[/tex]Y(x)=11 and y(x)=7
1 2
Answers
Answer: .63
Step-by-step explanation: y(11)=7
y(11)/11=7/11
Carmen participated in a walkathon to
raise money for the local library. Before the
hour-long event began, Carmen estimated
that she would walk 3.5 miles, but she
ended up walking 4 miles. What is the
percent error for Carmen's estimate?
Answers
Answer:
Step-by-step explanation:
12%
Answer:
12.5%
Step-by-step explanation:
the difference between 5 more than x and twice x is 17
Answers
Answer:
x = -12
Step-by-step explanation:
Hello!
The sentence can be represented as (x + 5)-(2x) = 17.
We can solve for x by isolating the variable.
Solve for xx + 5 - 2x = 17-x + 5 = 17-x = 12x = -12The value of x is -12.
please answer fast!!!!! find x
Answers
Step-by-step explanation:
the triangles are congruent out at least similar, so both have the same angles.
therefore,
2x = 80
x = 40
How do the laws of exponents apply to algebraic expressions
Answers
The laws of exponents are useful to solve algebraic expression as shown below.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
The laws of exponents (sometimes referred to as the rules of exponents) allow us to simplify expressions by using our understanding of what an exponent implies.
The goal is to write algebraic expressions as simply as you can in both situations.
Recall that an exponent indicates the number of times to multiply a number, variable, or expression by itself.
[tex]x^4=x \cdot x\cdot x\cdot x[/tex]
and, [tex](x+5)^3=(x+5)(x+5)(x+5)[/tex]
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When you open credit cards at a bank, you initiate a hard inquiry once you apply for credit. If you are approved for a credit card, this counts as a new account. Having too many hard inquiries and new accounts on your credit report lowers your credit score, so you’ll want to be judicious when you apply for additional lines of credit. Let’s say you’re interested in the following credit cards: •Chase Sapphire Reserve•Wells Fargo Propel Card•American Express Blue Cash Everyday •Citi Double Cash Card•Chase Freedom•Chase Amazon Prime Rewards Card•Bank of America Cash Rewards Visa•American Express Platinum Answer the following questions below (show work as applicable, using factorial notation if necessary):Scenario 2: Imagine you would like to apply for three of these credit cards. How many different ways could you apply for three credit cards out of this group, without taking order into account? _____________
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Given the credit card options:
• Chase Sapphire Reserve
• Wells Fargo Propel Card
• American Express Blue Cash Everyday
• Citi Double Cash Card
• Chase Freedom
• Chase Amazon Prime Rewards Card
• Bank of America Cash Rewards Visa
• American Express Platinum
Then, there are 8 options.
If you want to apply for 3 credit cards and the order does not matter, you can use combination to see how many options you have.
The formula for combination of r elements out n elements is:
[tex]C(n,r)=\frac{n!}{(n-r)!*r!}[/tex]In this question:
n = 8
r = 3
[tex]\begin{gathered} C(n,r)=\frac{8!}{(8-3)!*3!} \\ C(n,r)=\frac{8!}{5!*3!} \\ C(n,r)=\frac{8*7*6*5!}{5!*3*2} \\ C(n,r)=\frac{8*7*6}{3*2} \\ C(n,r)=56 \end{gathered}[/tex]Answer: 56 ways.
Maths problem in indices. Pls help
Answers
Answer:
x = 9
Step-by-step explanation:
using the rule of indices
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]5^{x}[/tex] = [tex]\frac{5^{8} }{5^{-1} }[/tex] = [tex]5^{(8-(-1))}[/tex] = [tex]5^{(8+1)}[/tex] = [tex]5^{9}[/tex]
since bases on both sides are equal, both 5 , then equate indices
x = 9