Let's first identify two points on each graph, we will be using the coordinates of the two points in finding the rate of each car.
We get,
The rate of Car A:
\(\text{ Rate of Car A = }\frac{\text{ 5 - 0}}{\text{ 8 - 0}}=\frac{\text{ 5}}{\text{ 8}}\text{ or 0.625}\)The rate of Car B:
\(\text{ Rate of Car B = }\frac{\text{ 8 - 0}}{\text{ 5 - 0}}\text{ = }\frac{\text{ 8}}{\text{ 5}}\text{ or 1.6}\)\(\text{ 1.6 is greater than 0.625 }\)Therefore, Car B is faster than Car A. Since the rate of Car B is greater than Car A.
The answer is:
\(\text{ Rate of Car A < Rate of Car B}\)
A person on a moving sidewalk travels 12 feet in 4 seconds. The moving sidewalk has a length of 120 feet. How long will it take to move from one end to the other?
Answer:
40 seconds
Step-by-step explanation:
120/12 = 10
10*4 = 40
THEREFORE 40 seconds to walk 120 feet at that speed
What is the value of x in the proportion below
(2/3)/5=x/16
Answer:
\(x=\dfrac{32}{15}\)
A band expects to put 16 songs on their next CD. The band writes and records 37.5% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD?
answer:
- this is multi-step problem
16 X 1.375 = 22 songs (37.5% was added)
22 X .5 = 11 songs (50% was removed)
final answer: 11 songs.
Using the digits 1 to 9 to fill in the boxes only once, write the largest and smallest absolute value. Then find the decimal equivalent.
EX|3 X 104- 6 X 102|
=|30000-600|=|29, 400|= 29,400. This represents the decimal equivalent. is this the largest or smallest?
Once you find the largest possible answer, find the smallest answer you can make with the unused digits
The largest absolute value is |29,400|, and the smallest absolute value is |667|.
The given expression |3 × 10^4 - 6 × 10^2| equals |30000 - 600|, which simplifies to |29,400|. This represents the largest possible absolute value using the digits 1 to 9. It is the largest because it maximizes the value by using the highest digits (9 and 8) in the tens of thousands and hundreds places, respectively.
To find the smallest possible answer, we need to arrange the remaining digits (1, 2, 3, 4, 5, 6, and 7) to minimize the value. Since we want to subtract the largest possible number from the smallest, we arrange the digits in ascending order, resulting in |1,234 - 567|.
Calculating this expression gives us |667|, which represents the smallest possible absolute value using the remaining digits. It is the smallest because it minimizes the value by using the lowest digits (1, 2, 3, 4, 5, 6, and 7) in their respective places.
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Cassandra earns $12.98 an hour working at Key Food. How much money will she
earn this month, if she works 36.7 hours? Round the amount of time to the
nearest hundredth. *
Answer:
12.98x36.7=476.366
What is the percent change from 310 to 155?
Answer: 50% decrease
Step-by-step explanation:
50% of 310 = 155
310-155=155
50% decrease :)
ANSWER: 50% decrease
SOLUTION:
50% of 310 = 155
310-155=155
So in all the answer is.......
50% decrease :)))))
-XOXOXO:)
A landscaping company charges $43 per cubic yard of mulch plus a delivery charge of $24. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
Answer:
C(m) = 45m + 26
Help me please. Your the best if you help.
Answer:
\(x= \boxed{25}\;\; \sf meters\)
\(y= \boxed{15}\;\; \sf meters\)
\(z= \boxed{58}\;\; \sf degrees\)
Step-by-step explanation:
Similar Triangles
Corresponding sides are always in the same ratio.Corresponding angles are the same size.If ΔWXY ~ ΔQRS then:
WX : QR = XY : RS = WY : QSTherefore:
\(\implies \sf WX : QR = XY : RS = WY : QS\)
\(\implies (15+x) : 30 = 20 : y = 32 : 24\)
\(\implies \dfrac{15+x}{30}=\dfrac{20}{y}=\dfrac{32}{24}\)
Solving for x:
\(\implies \dfrac{15+x}{30}=\dfrac{32}{24}\)
\(\implies 15+x=\dfrac{30 \cdot 32}{24}\)
\(\implies x=\dfrac{30 \cdot 32}{24}-15\)
\(\implies x=25\)
Solving for y:
\(\implies \dfrac{20}{y}=\dfrac{32}{24}\)
\(\implies 20 \cdot 24=32y\)
\(\implies y=\dfrac{20 \cdot 24}{32}\)
\(\implies y=15\)
If ΔWXY ~ ΔQRS then:
m∠W = m∠Qm∠X = m∠Rm∠Y = m∠STherefore, solving for z:
\(\implies m \angle W = m \angle Q\)
\(\implies 40^{\circ} = z-18^{\circ}\)
\(\implies z=40^{\circ} +18^{\circ}\)
\(\implies z=58^{\circ}\)
2.John is playing a video game in which he needs to catch balls. He earns 20 points for each of the first 25 balls that
he catches and 112 times the regular score for every additional ball that he catches. How many points does he earn for
catching 30 balls?
F. 507.5
G. 545
H. 600
J. 650
K. 900
Answer:
F
Step-by-step explanation:
Because I did the math.
Graph the line by locating any two ordered pairs that satisfy the equation y=x
Using the two ordered pairs determined, the graph of the equation is shown below.
Graph of Linear equationFrom the question, we are to draw the graph of the given equation by locating any two ordered pairs.
To draw the graph, we will determine two ordered pairs that satisfy the given equation and join the points.
The given equation is
y = x
Determine the value of y when x = 2
y = x
y = 2
An ordered pair is (2, 2)
Determine the value of y when x = -1
y = x
y = -1
An ordered pair is (-1, -1)
Using the above ordered pairs, the graph of the equation is shown below.
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identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 720(0.23)
Answer:
It is
Step-by-step explanation:
If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.
Answer:
77% decrease
Step-by-step explanation:
Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
1.
(05.03)
Calculate the area of the regular pentagon below:
A regular pentagon with a side length of 11.8 inches and a dotted line from center to middle of side of 8.1 inches.
(4 points)
164.025 square inches
238.95 square inches
351.78 square inches
477.9 square inches
Given:
A regular pentagon with a side length of 11.8 inches and a dotted line from center to middle of side of 8.1 inches.
To find:
The area of the regular polygon.
Solution:
We have,
Side length = 11.8 inches
Length of Apothem = 8.1 inches
Area of a triangle is
\(Area=\dfrac{1}{2}\times base\times height\)
A regular pentagon has 5 equal sides and equal interior angles. The lines from the center to the vertices divide the pentagon in 5 equal triangle.
Area of one triangle is
\(A_1=\dfrac{1}{2}\times \text{Side length}\times \text{Apothem}\)
\(A_1=\dfrac{1}{2}\times 11.8\times 8.1\)
\(A_1=47.79\)
Area of five equal triangle is
\(A=5\times A_1\)
\(A=5\times 47.79\)
\(A=238.95\)
So, the area of the pentagon is 238.95 square inches.
Therefore, the correct option is B.
Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4
The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.
Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.
For example, let's say one missing value is x = 3. We can substitute this into the equation:
y = 2(3) + 4
y = 6 + 4
y = 10
So, the missing ordered pair is (3, 10).
Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:
8 = 2x + 4
4 = 2x
x = 2
So, the missing ordered pair is (2, 8).
In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
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What is the solution to the equation?
5(n - 1/10) = 1/2
Answer:
i have made it in picture hope it help
The mean of the data set(9,5,y,2,x) is twice the data set(8,x,4,1,3).what is (y-x)
Answer:
\(y-x = 16\)
Step-by-step explanation:
Given
Set 1: (9,5,y,2,x)
Set 2: (8,x,4,1,3)
Required
(y - x)
First the mean values of set 1 and set 2 has to be calculated
For set 1
\(Mean _1 = \frac{(9+5+y+2+x)}{5}\)
Collect like terms
\(Mean _1 = \frac{9+5+2+y+x}{5}\)
\(Mean _1 = \frac{16+ y+x}{5}\)
For set 2
\(Mean _2 = \frac{(8+x+4+1+3)}{5}\)
Collect like terms
\(Mean _2 = \frac{8+4+1+3+x}{5}\)
\(Mean _2= \frac{16+ x}{5}\)
Given that the mean of set 1 is twice the mean of set 2;
\(Mean_1 = 2Mean_2\)
\(\frac{16+ y+x}{5} =2 * \frac{16+x}{5}\)
Multiply both sided by 5
\(5 * \frac{16+ y+x}{5} = 5 * 2 * \frac{16+x}{5}\)
\(16+ y+x = 2 * (16+x)\)
Open bracket
\(16+ y+x = 32 + 2x\)
Subtract 16 from both sides
\(16+ y+x- 16 = 32 + 2x - 16\)
\(16 - 16 + y+x = 32 - 16 + 2x\)
\(y+x = 16 + 2x\)
Subtract 2x from both sides
\(y+x-2x = 16 + 2x-2x\)
\(y-x = 16\)
Ellon has 10 cups of flour. A special cake she make to sell in her bakery requires 2 1/3 cups of flour
Joy and Willa left $3 each for a tip on a $44 restaurant bill. They are sharing the bill. How much does each person owe??
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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Graph the line by plotting any two ordered pairs that satisfy the equation.
y=x−6
Answer:
Step-by-step explanation:
Ordered pairs
x = 1 Given
y = 1 - 6 = - 5 Put the given into the equation
Ordered pair: (1,-5)
x = 4
y = 4 - 6
y = - 2
Ordered pair:(4,-2)
Graph
What is the product of −3 1/4 and −1 1/2? Enter your answer as a mixed number, in simplified form, in the box.
PLEASE HURRRYYY!!!
The product of −3 1/4 and −1 1/2 as a mixed number is \(4\frac{7}{8}\).
The product of −3 1/4 and −1 1/2 as a simplified form is \(\frac{39}{8}\)
What is products and mixed numbers?Thew products between two terms can be described as the multiplication operation of the the two terms to give a term which is been performed by the use of the operation sign (*) between the two terms.
The mixed number can be defined as the numbers that contains whole numbers as well as the denominators and numerator.
It should be noted that the product of −3 1/4 and −1 1/2 can be done as (\(-3\frac{1}{4} * -1\frac{1}{2} = -\frac{13}{4} * \frac{-3}{2} = \frac{39}{8} = 4\frac{7}{8}\)
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Which of the following Britain expressions can be true for the algebraic expression 3 in?
Explanation:
The expression given in the question is 3n
This implies that 3 x n
The operator that exist between the coefficient and the variable is the multiplication operator
Where 3 is the coefficent and n = variable
This expression can be translated in the following ways
1. a product of 3 and a number n
2. 3 multiply by a number n
3. 3 times a number n
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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You earn 5% commission on the first $2000 of sales and 8% commission on all sales over $2000. If you sold $7740, what is your total commission?
Answer:You earn 5% commission on the first $2000 of sales and 8% commission on all sales over $2000. If you sold $7740, what is your total ...
Step-by-step explanation:
A researcher surveyed 8 people to see if there is a
relationship between years of education and starting
salaries. The data points are shown on the graph.
Which best represents the equation of the trend line
shown on the graph? (Note that the graph has a break
on the x-axis.)
O y = 0.25x + 15
O y = 0.25x + 17.5
* y = 1.25x - 10
O y = 1.25x + 7.5
Answer:
\(y=1.25x+7.5\)
Step-by-step explanation:
We can see that the trend line is the line of best fit to the data points.
The equation of a straight line is given by:
y = mx + b:
where y, x are variables, m is the slope of the line and b is the y intercept.
From the graph, we can see that the line passes through the points (10, 20) and (14, 25). Therefore the equation of the line is given by:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-20=\frac{25-20}{14-10}(x-10)\\\\y-20=1.25(x -10)\\\\y-20=1.25x-12.5\\\\y=1.25x+7.5\)
Will is building shelves for his room. He has $50 to buy supplies and knows he’ll need shelving board and stain for his project. He already has his other materials from previous projects. Shelving board (s) costs $3.75 per piece, and stain (t) costs $11.99 per gallon. Write the equation that represents this relationship between the money he has and the amount of materials he may be able to buy.
The relationship between the quantity of shelving board and stain will be 3.75s + 11.99t ≤ 50.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition,substraction, multiplication and division
Given that:-
He has $50 to buy supplies and knows he’ll need shelving board and stain for his project. He already has his other materials from previous projects. Shelving board (s) costs $3.75 per piece, and stain (t) costs $11.99 per gallon.
Suppose the quanitty of shelving board is 's' and the stain is 't' the expression will be given as:-
3.75s + 11.99g ≤ 50
The total equation is representing the relationship between the amount of money he has and the quantity of the material he can buy under the $50.
Therefore the relationship between the quantity of shelving board and stain will be 3.75s + 11.99t ≤ 50.
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Find the equation of a line parallel to y=4x+2 that contains the point (−2,−3). Write the equation in slope-intercept form.
Answer:
y = 4x + 5
Step-by-step explanation:
Use point-slope formula to plug in the known point and slope.
Amy can solve x Math problems in one day.
How many Math problems can she solve in 7 days?
Answer:
Amy can solve 7x math problems in 7 days.
Step-by-step explanation:
If Amy can solve x problems in one day, we can multiply the number of days by "x" to know how many problems she can solve in this timespan.
Therefore, to determine how many problems Amy can solve in 7 days, we can multiple x by 7.
7 * x = 7x
Therefore, Amy can solve 7x problems in 7 days.
write an expression to represent the product of 6 and the square of a number plus 15.
in your expression,what is the value of the coefficient?
A.) 1
B.) 6
C.) 15
D.) 2
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Step-by-step explanation:
8x13 kkkxkgkgxkgxkkkxkkk