Answer:
-4
Step-by-step explanation:
(-18)+(-2)/(7)+(-2)
Add -18 and -2 to get -20.
-20/(7)+(-2)
Add 7 and -2 to get 5.
-20/5
-4
Hope this helps.
Write the mixed number as a decimal. 83/5
Answer:
Write the mixed number as a decimal. 83/5
16.6
A car travels at a speed of 25 miles per hour for t hours
and at a speed of 45 miles per hour for m hours.
Which expression represents the total distance traveled
by the car?
Answer: 25t+45m
Step-by-step explanation:
Really simple because if they traveled 25mi/h for t hours, that makes it 25t miles. They traveled 45mi/h for m hours so it's 45m. If you add them together, 25t+45m.
If this helped, brainliest please.
If the logarithmic regression model for a set of data is y = 2 + In x. What is the residual for the data value (2,4)?
The simple interest for both 48months and 54 months option ,is 13,5%per annum .a deposit of 20% is also required for both option .calculate he balance owed
Answer:
The amount of deposit required is R37,999 for both
The percentage of purchase price for the required deposit is 20%
Therefore, deposit required=20%*R189,995
=R37,999
The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach
I=PRT
balance after payment of deposit=R189,995-R37,999
=R151,996
R=13.5% per year
T=48 months and 54 months
Interest on 48 month option=151,996*13.5%*48/12
= R82,077.84
Interest on 54 month option=151,996*13.5%*54/12
= R 92,337.57
The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest
Total payment for 48 month option=R151,996+R 92,337.57
=R 244,333.57
Total payment for 54 month option=R151,996+R82,077.84
=R 234,073.84
Hope it helped!
which of the relations given by the following sets of ordered pairs is a function?
a. {(5,2),(4,2),(3,2),(2,2),(1,2)}{(5,2),(4,2),(3,2),(2,2),(1,2)}
b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}
c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}{(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}
d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}
{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.
{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.
In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.
The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.
Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}
No two ordered pairs have the same value of the x coordinate.
So it is a function.
Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}
Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).
So, it can not be considered a function.
Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}
No two ordered pairs have the same value of the x coordinate.
So it is a function.
Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}
No two ordered pairs have the same value of the x coordinate.
So it is a function.
Therefore, Options (a), (c), and (d) are the functions.
Option (b) is not a function.
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Which is correct please hurry <3
Answer:
The last one I did the math
Answer:
D
Step-by-step explanation:
bc it is just put it
Which could be the resulting equation when elimination is used to solve the given system of equations ?
Answer:
10·b = 60
Step-by-step explanation:
The given system of equation is presented as follows;
5·a + 5·b = 25...(1)
-5·a + 5·b = 35...(2)
Given that the coefficient of a in equation (1) is equal in magnitude but opposite in sign to the coefficient of 'a' in equation (2), to eliminate the variable 'a' when using the elimination method, we add both equations as follows;
5·a + 5·b + (-5·a + 5·b) = 25 + 35 = 60
5·a - 5·a + 5·b + 5·b = 60
5·a - 5·a = 0
5·b + 5·b = 10·b
∴ 5·a - 5·a + 5·b + 5·b = 60 = 0 + 10·b = 10·b
∴ 10·b = 60
40% of the children at a childcare centre are boys. If there are 18 more
girls than boys, how many children are there?
Answer:
i think 90
Step-by-step explanation:
No of boys = 40%
let total no. of children be as "x"
now, 40% of x= 2x/5.
and since boys differ girls by 18.
no. of girl would be x-2x/5=3x/5.
now No. of boys= 2x/5
and no. of girls= 3x/5
no. of total children would then be as = 3x/5 - 2x/5= 18
The value of "X" would then be as = 90
To find no. of boys we would do 2x/5 X 90= 36
and no. of girls = 3x/5 X 90= 54.
to prove my answer 54-36= 18
Hope it helps C":
Suppose there are X children at the childcare.
Thus :
boys + girls = X
__________________________
40% of the children are boys .
Thus :
There are 40/100 × X boys .
So : boys = 0.4X (( Ω ))
__________________________
There are 18 more girls than boys
Thus :
girls - boys = 18
girls - ( 40/100 X ) = 18
girls - 0.4X = 18
Add sides 0.4X
girls - 0.4X + 0.4X = 18 + 0.4X
girls = 18 + 0.4X (( μ ))
__________________________
Now It's time to put (( μ ))
and (( Ω )) in the above equation.
boys + girls = X
0.4X + 18 + 0.4X = X
0.8X + 18 = X
Subtract sides 0.8X
- 0.8X + 0.8X + 18 = 1X - 0.8X
18 = 0.2X
0.2X = 18
Divided sides by 0.2 (( 2/10 ))
2/10 ÷ 2/10 × X = 18 ÷ 2/10
X = 18 × 10/2
X = 18 × 5
X = 90
Thus there are 90 children at the childcare.
Done.....♥️♥️♥️♥️♥️
500 g of yogurt for $3.49 or 125 g for $0.79
which is the better deal
Answer:
125g for $0.79
Step-by-step explanation:
500g of yogurt for $3.49 equals 0.00698 per gram.
3.49/500 = 0.00698
125g of yogurt for $0.79 equals 0.00632 per gram.
0.79/125 = 0.00632
hope this helps
i need help with this
Answer:
★ = 3
✚ = 4
■ = 4
◆ = 5
Step-by-step explanation:
If we use direct correspondence in the second equation, then we have ...
◆ = 5
★ = 3
The values of ★ and ✚ in the first equation must total 7. This means ...
✚ = 7 -3 = 4
Again, using direct correspondence in the third equation, we have ...
■ = 4
starting in the year 2012, the number of speeding tickets issued each year in middletown is predicted to grow according to an exponential growth model. during the year 2012, middletown issued 190 speeding tickets ( ). every year thereafter, the number of speeding tickets issued is predicted to grow by 10%. if denotes the predicted number of speeding tickets during the year , then write the recursive formula for
The recursive formula for the predicted number of speeding tickets issued each year in Middletown, starting from 2012 with an initial count of 190 tickets and growing by 10% each year, can be written as follows: N(year) = 1.1 * N(year - 1).
The recursive formula for the predicted number of speeding tickets each year is based on the assumption of exponential growth, where the number of tickets issued increases by 10% each year.
Let's denote N(year) as the predicted number of speeding tickets during a particular year. According to the given information, in the year 2012, Middletown issued 190 speeding tickets, which serves as our initial count or base case.
To calculate the number of tickets in subsequent years, we multiply the previous year's count by 1.1, representing a 10% increase. Therefore, the recursive formula for the predicted number of speeding tickets is:
N(year) = 1.1 * N(year - 1).
Using this formula, we can determine the predicted number of speeding tickets for any given year by recursively applying the growth rate of 10% to the previous year's count.
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What is the range of the function represented by these ordered pairs?
Answer:
B
Step-by-step explanation:
The range of a data set is the y-coordinates of the ordered pairs.
So, we have the ordered pairs:
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
So, the range will be (the bolded numbers):
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
Thus, our answer is:
{-1, 0, 1, 7}
Note that the range should be in ascending order.
Also note that even though 7 appears twice, 7 is 7, so we only put one 7.
The answer is B.
De
buy?
5. A department store is running a special on
shirts. A 3-pack costs $10.95, while a 6-pack
costs $19.95. Which is the better buy?
A
B.
Answer:
B
Step-by-step explanation:
It is known that the weights of male Persian cats are normally distributed with mean and variance 0.5^2 kg^2.(a) Sketch a diagram showing the above information. [2](b) Find the proportion of male Persian cats weighing between 5.5 kg and 6.5 kg . [2] A group of 80 male Persian cats are drawn from this population.(c) Determine the expected number of cats in this group that have a weight of less than 5.3kg. [3](d) It is found that 12 of the cats weigh more than xkg . Estimate the value of x. [3](e) Ten of the cats are chosen at random. Find the probability that exactly one of them weighs over 6.25 kg . [4]
(a) Here is a sketch of the normal distribution for the weights of male Persian cats:
```
|
|
|
|
|
|
| . . . . . . . . . . . . . . . . . . . . . .
| . .
| . .
|. .
--------------------|----------------------------------------------------
μ-3σ μ μ+3σ
```
The x-axis represents the weights of the cats, and the y-axis represents the probability density. The curve is symmetric around the mean (μ) and has a standard deviation (σ) of 0.5 kg.
(b) To find the proportion of male Persian cats weighing between 5.5 kg and 6.5 kg, we need to calculate the area under the normal distribution curve between these two weights.
Using statistical software or tables for the normal distribution, we can find the corresponding z-scores for the weights 5.5 kg and 6.5 kg. Let's assume these z-scores are z1 and z2, respectively.
Then, we can find the proportion by subtracting the cumulative probability for z2 from the cumulative probability for z1. This represents the proportion of cats within the weight range.
(c) To determine the expected number of cats in the group that have a weight of less than 5.3 kg, we first need to find the z-score corresponding to this weight. Let's assume this z-score is z3.
Next, we calculate the cumulative probability for z3. This represents the proportion of cats in the population with a weight less than 5.3 kg.
To find the expected number of cats in the group, we multiply this proportion by the total number of cats in the group (80).
(d) To estimate the value of x for the statement "12 of the cats weigh more than x kg," we need to find the z-score corresponding to the cumulative probability of 12 cats in a group of 80.
Using statistical software or tables for the normal distribution, we can find the z-score that corresponds to this cumulative probability.
Then, we can convert the z-score back to the weight scale to estimate the value of x.
(e) To find the probability that exactly one cat out of ten weighs over 6.25 kg, we can use the binomial probability formula:
\(P(X = 1) = (nCk) * p^k * (1-p)^{(n-k)}\)
In this case, n = 10 (number of cats chosen), k = 1 (number of cats weighing over 6.25 kg), and p represents the probability of a cat weighing over 6.25 kg, which can be calculated using the normal distribution and the corresponding z-score.
By substituting these values into the formula, we can calculate the probability.
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Rewrite this expression using the distributive property.
(3x2 + 4x-7)(x-2)
Answer:
D
Step-by-step explanation:
Each factor on the right has to be multiplied by the equation on the left and then you add them.
The expression (3x² + 4x - 7) ( x- 2) can be rewritten as 3x³- 2x²- 15x + 14.
To rewrite the expression (3x² + 4x - 7) ( x- 2) using the distributive property, we need to distribute each term in the first polynomial to each term in the alternate polynomial.
(3x² + 4x - 7) ( x- 2)
= 3x²( x- 2) + 4x( x- 2)- 7( x- 2)
Now, distribute each term
= 3x³- 6x²+ 4x²- 8x- 7x + 14
Combine like terms
= 3x³- 2x²- 15x + 14
Thus, using the distributive property, the expression (3x² + 4x - 7) ( x- 2) can be rewritten as 3x³- 2x²- 15x + 14.
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consider an undirected graph that has 100 vertices. for any pair of vertices, only 1 edge can connect them. in other words, you cannot have 2 edges connecting vertex a directly to vertex b. also assume that there are no self-loops, i.e. an edge that goes from vertex a to vertex a. what is the maximum number of edges that can be in this specific graph?
So the maximum number of edges in an undirected graph with 100 vertices is 4950.
In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.
In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:
n * (n-1) / 2
Substituting n = 100, we get:
100 * 99 / 2 = 4950
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On a road map, the distance from City A to City B is 4 inches. The map scale is 1 inch = 20 miles. What is the actual distance, in miles, between City A and City B? A. 5 miles B. 24 miles C. 48 miles D. 80 miles
Answer: D. 80 miles
Step-by-step explanation:
if 1 inch is 20 miles, then 4 inches is 4 x 20 = 80 miles what is real distance between City A and City B
1 inch = 20 miles4 inch = 4 x 1 inch = 4 x 20 miles = 80 milesAnswer:
D. 80 miles
Step-by-step explanation:
If the map distance between Cities A and B is 4 in, and the map scale is 1 in = 20 mi, then the actual distance between Cities A and B is:
\(\frac{4\text{ in}}{1}\times\frac{20\text{ mi}}{1\text{ in}}=\frac{80\text{ mi}}{1}=80\text{ mi}\)
In other words, every one inch on the map equates to 20 miles in actual distance. Therefore, 4 inches equates to 80 miles.
if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C (ii)A-B+C (iii)A+B-C
Answer:
A+B+C = 2(x+y)²
do rest in same manner
alexa made 7 withdrawals of $85 dollars each from her bank account what was the overall change in her account
Answer:
$595
Step-by-step explanation:
85x7=595
Answer:
I belive the total change is $595
Step-by-step explanation:
My explanation is that you take $85 and times it by 7
First correct answer will get Brainliest, 30 mins to answer! 25 points
Dora has three candles, which will burn for 3, 4 and 5 hours, respectively. If she wants to keep two candles burning at all times, what is the greatest number of hours she can burn the candles? (Dora has a clock that she can use to time the candles.)
Answer:
4 hours
Step-by-step explanation:
As she wants to keep two candles burning so after3 hours only 2 candles will remain and after 4 hours only one but till 4 hours 2 candles would be burning that what she wanted so its 4 hours
If Dora burns candles that burn for 4 and 5 hours, they combine to burn for 9 hours.
What are permutation and combination?Combination and permutation are two alternative strategies for organizing elements of a set into subsets in mathematics. The subset's components can be recorded in any order when combined. The components of the subset are stated in a separate order in a permutation.
Dora has three candles that will burn for 3, 4, and 5 hours, respectively.
The combination of the hours of burning,
3 + 4 = 7 hours
4 + 5 = 9 hours
3 + 5 = 8 hours
So the greatest number is 9
Thus, if Dora burns candles that burn for 4 and 5 hours, they combine to burn for 9 hours.
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How many vertices does a rectangular pryamid have?
Answer:
Vertices: 5
Step-by-step explanation:
There should be 5 vertices. One at the top, 4 at the corners of the square.
Answer:
5
Step-by-step explanation:
One vertex is located at the top of the pyramid. The four vertices are located on each corner of the rectangular base.
The number 475 is a three digit number that uses only the three digits 4,5,7. How many three-digit numbers can be formed using these three digits of repeated digits are allowed?
Answer:
I think 274
Step-by-step explanation:
what combination of x and y will yield the optimum for the is l.p. problem (4pts)? maximize z = 2x + y subject to: (1) x + y 3; (2) x - 2y 2; and (3) x 2
The optimal solution to the linear programming problem, where we want to maximize z = 2x + y, subject to the constraints x + y ≤ 3, x - 2y ≤ 2, and x ≤ 2, is obtained when x = 2 and y = 1.
To find the combination of x and y that yields the optimum for the given linear programming problem, we need to solve the system of inequalities and find the maximum value of z.
Start by graphing the feasible region formed by the three inequalities. - The first inequality, x + y ≤ 3, represents a line passing through points (3,0) and (0,3). S
hade the region below this line. - The second inequality, x - 2y ≤ 2, represents a line passing through points (2,0) and (0,1). Shade the region below this line. - The third inequality, x ≤ 2, represents a vertical line passing through point (2,0).
Shade the region to the left of this line. - The feasible region is the overlapping shaded region. Identify the corner points of the feasible region.
These are the points where the boundaries of the shaded regions intersect. - The corner points are (0,0), (0,1), and (2,1). Evaluate the objective function z = 2x + y at each corner point. - For (0,0): z = 2(0) + 0 = 0 - For (0,1): z = 2(0) + 1 = 1 - For (2,1): z = 2(2) + 1 = 5
Compare the values of z obtained at each corner point. - The maximum value of z is 5, which occurs at the point (2,1). The combination of x = 2 and y = 1 will yield the optimum for the given linear programming problem.
The optimum combination of x and y that yields the maximum value for the given linear programming problem can be found by solving the system of inequalities and evaluating the objective function at each corner point of the feasible region.
By graphing the inequalities, we can identify the overlapping shaded region that represents the feasible solutions. The corner points of this region are then evaluated using the objective function z = 2x + y. By comparing the values of z at each corner point, we can determine the maximum value. In this case, the maximum value of z is 5, which occurs at the point (2,1).
Therefore, the combination of x = 2 and y = 1 will yield the optimum solution for the given problem.
The optimal solution to the linear programming problem, where we want to maximize z = 2x + y, subject to the constraints x + y ≤ 3, x - 2y ≤ 2, and x ≤ 2, is obtained when x = 2 and y = 1. At this combination of x and y, the objective function z takes the maximum value of 5.
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question 8, thanks guys
Answer:
B.
Step-by-step explanation:
Use the multiplication table of 12 and find that 5x12=60. Answer B is the only one that has that.
a car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time it takes the truck to travel the same distance. what is the speed of the car? how about the truck?
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.
Define speed.You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).
Given,
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.
Let s represent the truck's speed and (s+20) represent the car's speed.
to determine each vehicle's time
Time = Speed / Distance
truck time = 350/s
Time in an automobile is 350/(s+20)
Truck time - car time = 2 hours
So,
(350/s) - [350/(s+20)] = 2
LCM is s(s+20)
[350(s+20) - 350s]/s(s+20) = 2
Cross multiplying,
350(s+20) - 350s = 2s(s+20)
Simplifying the equation,
350s + 7000 - 350s = 2s² + 40s
Now, we have quadratic equation to simplify,
2s² + 40s - 7000 = 0
Dividing the equation by 2
s² + 20s - 3500 = 0
Factorizing,
s= 50
s= -70 (impossible because of the sign)
Hence the truck's speed is s = 50 km/h.
The speed of the car is s + 20 = 70 km/h.
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8(3a+5)???? please help!!!!!! ASAP!!!!
I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.
8 times 3a = 24a
8 times 5 = 40
So 8(3a+5) becomes 24a+40
We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.
please help me:(
*will give a brainist*
Answer:
we ended the Bubba pregnant woman he is not in there by the Monon the man that want to be. DMV
find the greatest common factor of 15x^6 and 33x^4y^5
Answer:
3x^4
Step-by-step explanation:
Answer:
495x^10 y^5
Step-by-step explanation:
HELPPPP ITS MATHHHHHH nvekwnvewl veryyyyyy easy!!
Answer:
5 1/2
Step-by-step explanation:
Solve following proportion. (x-3)/3 = 5/8
Answer:
x=4.9
Step-by-step explanation:
x-3/3=5/8
x-3=15/8
x=15/8+3
x=39/8
x=4.9