The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
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Evaluate if A = 2, B = 7, and C = 6, 6C - B
Answer:
29
Step-by-step explanation:
6C - B substitute in 6 for C and 7 for B
6(6) - 7
36 - 7
29
45 strikeouts in 36 innings or 96 strikeouts in 80 innings. Which is greater?
Answer:
Step-by-step explanation:
96 strikeouts in 80 innings
f(x) = 3x²-x+ 5, 2f(-3) - f(4) =
Answer:
21
Step-by-step explanation:
You want the value of the expression 2f(-3)-f(4), given that f(x) = 3x²-x+ 5.
Function evaluationA function is evaluated by putting the argument where the variable is, and simplifying the result. Polynomials are often easier to evaluate if they are written in Horner form.
f(x) = 3x² -x +5
f(x) = (3x -1)x +5
The values we need are ...
f(-3) = (3(-3) -1)(-3) +5 = (-10)(-3) +5 = 35
f(4) = (3(4) -1)(4) +5 = (11)(4) +5 = 49
Then the expression of interest has the value ...
2f(-3) -f(4) = 2(35) -49 = 70 -49
2f(-3) -f(4) = 21
Calculate the total surface area of a cube of the following length of side a) 5cm b) 8cm c) 10ft d) 12m
Answer:
the side of a cube is 5 cm.
Total surface area of cube =6× (side)
2
=6×5×5
=150
∴ The total surface area of cube is 150 cm
2
Step-by-step explanation:
Sorry I I don't have much time to answer the rest
Please help with problem 2
Answer: 4==> D
Step-by-step explanation:
b=1
|2b-5|+1=
|2(1)-5|+1=
|2-5|+1=
|-3|+1= ==> Absolute value equations are always positive: |-x|=x, not -x.
3+1=4==> D
Answer:
Step-by-step explanation:
D 4
Katy invests a total of $10,500 in two accounts paying 11% and 5% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $945.00.
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 11% simple interest.
Equation:___________
B) The answers are:
$____ was invested at 11% and
$____was invested at 5%
Answer:
Equation: 0.11x + 0.05(10500 - x) = 945
$7000 was invested at 11% and
$3,500 was invested at 5%
Step-by-step explanation:
There are two equations needed
Let x = amount of money invested at 11%
11% = 11/100 = 0.11 in decimal
Interest at 11% for 1 year = 0.11x
Amount of money invested at 5% interest. 5% = 0.05
= 10500 - amount invested at 11%= 10500 - x
Interest from this amount after 1 year = 0.05(10500 - x)
Total of these two = 945
So 0.11x + 0.05(10500 - x) = 945
The equation based on the information as it is given:
0.11x + 0.05(10500 - x) = 945
We know the total interest obtained was $945 so we have the equation
0.11x + 0.05(10500- 5x) = 945
Simplify
0.11x + (525 - 0.05x) = 945
==>0.11x + 525 - 0.05x = 945
==> 0.06x = 945 - 525
==> 0.06x = 420
==> x = 420/0/06 = $7000
Amount invested at 11% interest is $7,000
Amount invested at 5% interest = 10,500 - 7,000 = $3,500
What is the relationship between the numerator and the denominator in a fraction?
Answer: GoodMorning: )✨Ok so We should Know that The top number in a fraction is always considered a numerator, and that It shows the number of parts we have. The bottom number in a fraction is considered a denominator. It shows the total number of parts into which anything is divided. For example, in the fraction 8/7, 8 is the numerator and 7 is the denominator.
Step-by-step explanation: Like In this fraction 7/3, 7 is the numerator and 3 is the denominator. In the fraction 9/7, 9 is the numerator and 7 is the denominator.The value placed above the horizontal line in a fraction is called a numerator. It signifies the number of parts taken out of the whole. The numeric value below the vinculum of a fraction is called the denominator. It represents the total number of equal parts as a whole. Hope this helps: )
Have A Nice Day: )
Answer:
A numerator is a value on the upper character set of a rational or fraction value and a denominator is the downer
[tex]{ \rm{fraction = \frac{numerator}{denominator} }} \\ [/tex]
For example;
Three quarters
[tex]{ \rm{ = \frac{3}{4} }} \\ [/tex]
3 is numerator and 4 is denominator
For a real number a, a + 0 = a is that true?
For a real number a, a + 0 = a: TRUE
What are real numbers?In mathematics, a real number is a quantity that can be expressed as an infinite decimal expansion. In contrast to the natural numbers 1, 2, 3,..., which are derived from counting, real numbers are used in measurements of continuously varying quantities such as size and time.For a real number a, a + 0 = a:
This is due to the identity property for addition, which states that zero added to any number equals the number itself. So, in this case, the number is, and it is true that: a + 0 = aTherefore, the statement "for a real number a, a + 0 = a" is TRUE.
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HELP GUYS! SHOW WORK!!!!!!!!!!!!!!!!! 20 points
The value of x from the given line segment is 5
Addition postulateA line is defined as the shortest distance between two points. From the given line segment, the addition below is true;
NM + ML = NL
Given
NM = 9
ML = 2x-7
NL = x + 7
Substitute to have:
9 + 2x - 7 = x + 7
2x + 2 = x + 7
2x-x = 7 - 2
x = 5
Hence the value of x from the given line segment is 5
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determine if the numerical value describes a population parameter or a sample statistic. the average price of a house in the new subdivision is $257,000.
The numerical value in this sentence, "the average price of a house in the new subdivision is $257,000" describes a Population Parameter.
What is a Population Parameter?A population parameter is a figure that describes a fact about a whole population. In this sentence, we can see that the figure quoted is representative of an entire population. A sample statistic, on the other hand, describes something about a part of a population.
So, for the statement above, we can see that the average price is representative of all the houses in the new subdivision. Thus, the figure is a population parameter.
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Clyde and mason each leave a rest area on the flordia turnpike. Clyde travels north and mason travels south. After 4 hr, Clyde has gone 248 mi and mason, who ran into heavy traffic, traveled only 184 mi. How far apart are they
Clyde and Mason are 432 mi apart from each other in distance.
We are given that:
Clyde and mason can each leave a rest area on the Florida turnpike.
Clyde travels north whereas Mason travels south.
After 4 hr., we get that Clyde has gone 248 mi and Mason, due to the heavy traffic he got , traveled only 184 mi.
We need to tell how far are they from each other.
We will do this by addition.
Distance = 248 mi + 184 mi
Distance = 432 mi.
Therefore, we get that, Clyde and Mason are 432 mi apart from each other in distance.
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BRAINLIEST
Choose the word noun, adjective, or verb that correctly answers the question.
What kind of words are crying, mending, and envying?
Answer:
crying -adjective. mending -noun. envying -verb.
Step-by-step explanation:
since an adjective is a word naming an attribute of a noun, the word cry is a noun and so the action being carried out "crying" is an adjective.
a noun is a word used in identifying a person, place or thing. and mending is a... you get the idea?
a sports writer studies the batting average, walk to strikeout ratio, and home runs hit for a certain baseball player for five weeks for an article.
Batting common is the the wide variety of runs scored via way of means of the batsman withinside the wide variety of fits performed via way of means of him in that supply weeks Walk to strike out is the wide variety of wickets taken via way of means of the sports activities character withinside the wide variety of fits performed via way of means of him in that week Home runs are the house run hit via way of means of that participant in that 5 weeks throughout which the sports activities creator cited these types of happenings
If participant A's batting common is .312 and he had 596 at-bats , what number of hits did he get?
The number of hits A got is 186 hits.
A player's batting average is calculated by dividing the number of hits by the number of at-bats.
Player A batting average = 0.312
Number of at-bats A did = 596
We have to find the number of hits A got.
0.312 = Number of hits / 596
Number of hits = 0.312 x 596
= 185.952 hits.
Rounding to a whole number we get,
= 186 hits
Thus, the number of hits A got is 186 hits.
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Solve for X. Help please
[tex]4x - 29 = 13 + 6 + 2x - 18 \\ 4x - 2x = 13 + 6 - 18 + 29 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]
Answer:
Step-by-step explanation:
13 + 6 + 2x - 18 = 4x - 29
2x + 1 = 4x - 29
1 = 2x - 29
30 = 2x
15 = x
100 points plus brainlyiest
help please questions is in the picture
The graph of the given linear function can be seen in the image below.
How to graph linear equations?
Here we want to graph the line:
y = 3x - 2 (I think this is the line, the image is really blurry).
To graph this line (or any line, actually) what you need to do is find two points on the line.
To do so, you need to evaluate the function.
If we use x = 0, then:
y = 3*0 - 2 = -2
So we have the point (0, -2)
If we use x = 1, then:
y = 3*1 - 2 = 1
So we have the point (1, 1)
Now just graph these two points, and then draw a line that passes through both of them, you should get something like the image below.
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3a² + 2b c² if a = 1, b = 2, and c = 3.
Answer:
Ans 39
Step-by-step explanation:
3a² + 2b c² if a = 1, b = 2, and c = 3.The answer is 39
is 22.5 a interger number?
solve w^4 - 18w + 81 = 0
Answer:
No solution
Step-by-step explanation:
You can solve this in a few ways. One way is to graph the equation, and the solution is the x-value of the point of intersection. Another way would be to factor, which is more difficult to complete with a square bigger than 2.
By graphing, you can see a parabola that never touches that x-axis, which means no solution.
Solve for x in the diagram below.
Answer: x=6
Step-by-step explanation: (x+54)+5x=90 -> 6x+54=90 -> 6x=36 -> x=6
you know it equals 90 because it's on a 180 and there's a right angle.
simplify the equation to 6x+54=90, subtract 54 from 90, and divide by 6 to isolate x.
What is the slope of a line parallel to the line whose equation is x-2y=4. Fully simplify your answer.
Answer:
1/2
Step-by-step explanation:
x - 2y = 4
2y = x - 4
y = 1/2x - 2
If two lines are parallel, their slopes are equal => slope will be 1/2
Answer: 1/2
Step-by-step explanation:
i had this equation and it gave me this answer. i got y’all trust
The prediction method _________ is the method used to estimate a point on a line when the point does not lie between the given points.
The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.
What is linear extrapolation?Using the equation of a line to obtain a new data point based on an existing collection of data points is known as linear interpolation in mathematics.
Now,
Since it employs a linear model to forecast the necessary point that does not reside between the given locations, this prediction technique is known as linear extrapolation.
Hence, The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.
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Use vectors to decide whether the triangle with vertices p(1,-3,-2), q(2,0,-4), and r(6,-2,-5) is right-angled.
The given vertices make a right angled triangle as seen below, with the help of vectors.
What are vectors?Vectors refer to the quantities that have both magnitude and direction but not position.
Now,
Given: Three vertices of a triangle: P(1,-3,-2),Q(2,0,-4), and R(6,-2,-5).
To find: whether they make a right angled triangle.
Finding:
Now,
Any two of the triangle's vectors must have a dot product of zero in order to demonstrate that the triangle is a right triangle. This is because the vectors (which represent the sides) are perpendicular or orthogonal if the dot product is 0, which indicates that the angle they make is right (90°).The triangle's three sides can be represented by the following three directional vectors:
Vector (PQ) = <2, 0, -4> - < 1, -3, -2>
=> Vector (PQ) = < 1, 3, -2>
Vector (QR) = < 6, -2, -5> - < 2, 0, -4>
=> Vector (QR) = < 4, -2, -1>
Vector (PR) = < 6, -2, -5> - <1, -3, -2>
=> Vector (PR) = < 5, 1, -3>
Now, finding a pair of vectors whose dot product = 0:
Vector(PQ) . Vector(PR) = < 1, 3, -2> . < 5, 1, -3> = 5 + 3 + 6 = 14 ≠ 0Vector (QR) . Vector (PR) = < 4, -2, -1> . < 5, 1, -3> = 20 + (-2) + 3 = 21 ≠ 0Vector (PQ) . Vector (QR) = < 1, 3, -2> . < 4, -2, -1> = 4 + (-6) + 2 = 0Hence, the sides PQ and QR must be perpendicular so that the given vertices make a right-angled triangle.
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HELP ILL GIVE YOU 20 POINTS
Please help i will give brainly
Answer:
all real numbers
Step-by-step explanation:
the arrows show that it is continuing therefore it is all real numbers
terri, aaron, and jamal all walked along straight paths. terri walked 3.95 km north in 48 min. aaron walked 2.65 km west in 31 min. jamal walked 6.50 km south in 81 min.
The option that correctly ranks the three boys in order from lowest to highest average speed is:
Jamal, Terri, AaronHow is the Average speed calculated?The average speed calculated is obtained by dividing the total distance covered by the total time taken. That said, we will obtain the average speeds for each of the boys as follows:
Terri = 3.95 km/48 min
= 0.082 km/min
Aaron = 2.65 km/31 min
= 0.085 km/min
Jamal = 6.50 km/81 min
= 0.080 km/min
When the results are obtained from lovwest to highest we will have:
0.080, 0.082, 0.085 which represent the figures for Jamal, Terri, Aaron.
Complete Question:
Terri, Aaron, and Jamal all walked along straight paths. Terri walked 3.95 km north in 48 min. Aaron walked 2.65 km west in 31 min. Jamal walked 6.50 km south in 81 min. Which of the following correctly ranks the three boys in order from lowest to highest average speed?
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Let us suppose Christmas lights have a total of 120 bulbs in a set, each with a 99.9% reliability rating. What is the probability that a set all works?
The probability that a set of all bulbs work is 0.88.
What is called as the total probability?The total probability rule (also known as the Law of Total Probability) divides probability calculations into discrete steps.
It's used to calculate the probability of an event, A, once you don't know enough about A's probabilities to do so directly. Instead, you use a related event, B, to calculate the probability of A.Two events are considered independent if a occurrence of one does not affect the likelihood of occurrence of the other.Now, as per the question;
The total number of bulbs be 120 and each bulb is working as independent event.
The reliability of each bulb is 99.9% = 0.999
Let 'p' the probability the bulb will work.
The probability that all will work = p¹²⁰
The probability that all will work = (0.999)¹²⁰ = 0.886
Thus, the probability that all bulb will work is 88.6%.
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A carton of apple juice displays the nutritional information shown below.
How many grams of sugar are there in a 200 ml glass of juice?
< Back to task
Bookwork
I
Apple juice
250 ml contains
Carbohydrate
Sugar
Protein
1
29.5 g
25.5 g
| 0.3 g
Watch video
Answer >
Answer:
Step-by-step explanation:
200/250 =0.8
25.5x0.8 =20.4
answer=20.4
this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural whole integer rational irrational −25 natural – negative 25 whole – negative 25 integer – negative 25 rational – negative 25 irrational – negative 25
-25 is an integer and a rational number.
What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.Now,
Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.Hence, -25 is an integer and a rational number.
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if q is the point (x, 3/(2 − x)), use your calculator to find the slope mpq of the secant line pq (correct to six decimal places) for the following values of x.
According to the given data the slope mpq of the secant line pq for the following values of x are :
m for x3.333333 for 2.93.030303 for 2.993.003003 for 2.9993.00030003 for 2.99992.727272 for 3.12.90297 for 3.012.997002 for 3.0012.999700 for 3.0001What is the definition of the slope inside a graph?The slope is defined as the proportion of both the vertical difference of two points, known as the rise, towards the horizontal change between those same two points, known as the run.
How do you calculate slope?Calculate the values of two line points. Determine the difference in y-coordinates between these two locations (rise). Calculate the x-coordinate distinction between these two locations (run). Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.
According to the given data:Slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
so,
m for x
3.333333 for 2.9
3.030303 for 2.99
3.003003 for 2.999
3.00030003 for 2.9999
2.727272 for 3.1
2.90297 for 3.01
2.997002 for 3.001
2.999700 for 3.0001
this shows that the slope m for the required x.
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I understand that the question you are looking for is:
The point P(3, −3) lies on the curve y = 3/(2 − x).
If Q is the point (x, 3/(2 − x)), use your calculator to find the slope m PQ of the secant line PQ (correct to six decimal places) for the following values of x.
i. 2.9 =
ii 2.99 =
iii. 2.999 =
iv.2.9999 =
v. 731
vi. 3.01
vii. 3.001
viii. 3.0001
a. Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(3,-3)
b. Using the slope from part (b), find an equation of the tangent line to the curve at P(3,- 3).
an equation for a line parallel to the line y = 1/3x - 4 through (-3, 2).
Answer:
y = 1/3x + 3
please correct me if I'm wrong