Answer:
Yes.
Step-by-step explanation:
18/ 3 = 6
3 / 3 = 1
so, 6 : 1.
Q.1. Solve the following equations:
i. 10 s + 100 = 1000
ii. 12 m - 5 = 25
Please explain properly and give step by step answer this question contains 20 points i will also mark u as brainliest
[tex]10s = 1000 - 100[/tex]
i)WHEN GROUPING LIKE TERMS 100 WAS GROUPED WITH 1000 SINCE IT CHANGED PLACE IT ALSO CHANGED THE SIGN FRKM POSITIVE TO NEGATIVE.[tex]10s = 900[/tex]
NOW TO GET THE VALUE OF s it means we will have to divide both sides by the coefficient os s which is 10.Meaning 10 will divide 10s and also 900 we get:
[tex] \frac{10s}{10} = \frac{900}{10} \\ s = 90[/tex]
ii) WE ALSO HAVE TO GROUP TERMS HERE. IT MEANS -5 WILL BE GROUPED WITH 25 BUT WHEN IT CHANGES POISTION IT WILL ALSO CHANGE SIGN.[tex]12m = 25 + 5 \\ 12m = 30 \\ \frac{12m}{12} = \frac{30}{12} \\ m= \frac{30}{12} \\ m = \frac{15}{6} [/tex]
I don't understand what I'm doing, I'm confused irritated and I just need some help
Answer:
See explanation
Step-by-step explanation:
Slope: 4 since $4 was made per ticket. $4/1=$4.
Equation: y=mx+b
0=4(0)+b ==> the function has a point on the origin, (0,0).
0=0+b
b=0
y=4x+0
y=4x ==> equation of line
Answer:
day 1: $4
day 2: $8
day 3: $12
day 4; $16
Step-by-step explanation:
y= 4x
cuz you add 4 each time
Select the better deal in the pair. Then give the unit rate for the better deal.
$56/25 gal or $31.05/15 gal
The better deal of the given pair is $31.05/1. The unit rate is $2.07.
What is the better deal?The better deal is the deal that has the lower unit rate. Unit rate is the price per gallon. The unit rate can be determined by dividing the total cost by the total gallons bought.
Division is the operation that is used in mathematics to determine the quotient of two or more numbers. Division entails grouping a number into groups using another number. Other operations used in mathematics are addition, multiplication and subtraction.
Unit rate = total cost / number of gallons
$56 / 25 = $2.24
$31.05 / 15 = $2,07
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A triangle is dilated by a factor of 2 and then rotated clockwise Which statement about the triangle's image and pre-image is correct?
Answer:
what are th e statements though
The speed limit on a road is listed at 65 miles per hour. The car’s speedometer reads 63 miles per hour. Is it possible that this car is going over the speed limit?
It is not possible for the car to go over the speed limit as maximum error represent value of speed limit less than 65 miles per hour.
As given in the question,
Maximum error on the reading of speedometer =1.6%
Speed limit on a road is 65 miles per hour
Reading of a speedometer = 63 miles per hour
As per the error in the speedometer it can be more or less by 1.6%
To check speed limit
If it more
Speed limit = 63 + (1.6% of 63)
= 63 + 1.008
= 64.008 miles per hour < 65 miles per hour
If it less
Speed limit = 63 - (1.6% of 63)
= 63 -1.008
= 61.992 miles per hour < 65 miles per hour
Therefore, it is not possible for the car to go over the speed limit as maximum error represent value of speed limit less than 65 miles per hour.
The complete question is:
The reading on a car speedometer has 1.6% maximum error the speed limit on a road is listed 65 miles per hour.
The car’s speedometer reads 63 miles per hour. Is it possible that this car is going over the speed limit?
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Use the Law of Detachment to make a conclusion. If a person wants to get a car, that person must buy car insurance. Jayla wants to get a car. A. Jayla has car insurance. B. Jayla has her driver's license. C. Jayla must get her driver's license. D. Jayla must buy car insurance.
According to the law of detachment, if a person wants to get a car, that person must buy car insurance, since Jayla wants to get a car, D. Jayla must buy car insurance.
What is the law of detachment?It should be noted that the law of detachment states that if P leads to Q and Q is true, then Q must be true.
In this case, if a person wants to get a car, the person must buy car insurance. Without this it's impossible to buy the car. Therefore, this illustrates that the correct option is that Kayla must also get the insurance.
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help me i don’t know how to do this help me please
as soon as possible please!
Answer:
C). [tex]1 - sec^{2} A[/tex]
Step-by-step explanation:
Lets say the bottom side is X, right side is Y, and hypotenuse is H.
[tex]tan A = \frac{Y}{X}[/tex]
[tex]tan B = \frac{X}{Y}[/tex]
[tex]\frac{tan A}{tan B} = \frac{\frac{Y}{X}}{\frac{X}{Y}} = \frac{Y}{X} * \frac{Y}{X} = \frac{Y^{2} }{X^{2}} = (\frac{Y}{X})^{2} = tan^{2} A= 1 - sec^{2} A[/tex]
The scale on a map is 1 : 30000
What is the actual distance represented by 1 centimetre?
When the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre is 300 meters.
How to calculate the distance?It should be noted that in order to get the distance, we have to convert 1cm to meter. It should be noted that;
100cm = 1 meter
1cm = 1/100 = 0.01 meters.
Therefore, when the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre will be:
= (0.01 × 300000)
= 300 meters.
Therefore, the distance is 300m
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hey yall my question is: how do u divide 5 600 in the ratio:
4: 5: 7
:)
explanation
4/16×5600=1400
5/16×5600=1750
7/16×5600=2450
therefore first ratio over total ratio multiplied by number. use the same approach for the others
whats the answer to this combined terms
y−(−3y)
Answer:
Add y and 3y
= 4y
Step-by-step explanation:
What does y-7 equal
Answer:
-7
Step-by-step explanation:
Because picture y with a 1 in front of it the divide -7 by 1 and you get -7
write a mathematical sentence that expresses the information below use s as your variable mr.jones algebra class has too many students in it. if each class were split exactly
When the class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students, the expression is s / 3 <= 14.
What is an expression?It should be noted that an expression is simply used to illustrate the relationship between the variables that are given.
From the mr. Jones algebra class has too many students in it and each class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students.
The expression will be let the total students be represented by s. This will be:
s / 3 <= 14
The expression is s / 3 <= 14.
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Write a mathematical sentence that expresses the information below use s as your variable mr.jones algebra class has too many students in it. if each class were split exactly in equal parts to form 3 be classes each class would have no ore than 14 students
Guys help!!! I have to create a other title for the book The call of the wild. Help me figure out titles I should use and why. Write a well-developed paragraph explaining why the title you have chosen suits the book.
You do not need to listen to my opinion but I think another excellent title could be Survival (Man Vs Dog).
And so here is an explanation of this title: The book may be for young adults, but it truly shows a dark trip to human nature and a species that can be noble as well as cruel and insensitive. Buck, the protagonist, is a dog who has been kidnapped and placed as a sled dog in the 19 century Klondike Gold Rush. It is Buck's loyalty and instinct that helps him return to his owners which forms the plot of the story and the assumptions are able to make about the inhumanity of humans and the very real loyalty and humanity Buck shows.
Sorry for taking so long:)
A bike was reduced by 20% in a sale. If it was £520 what was the original price
Answer:416
Step-by-step explanation:520x.8=416
Answer:
Original price = 416.
i hope this helps
Mia sells headbands for $8.50 each. The
situation can be represented by y = 8.50x
where x is the number of headbands sold and
y is the amount of money collected. Does this
situation represent a function?
Answer:
Yes
Step-by-step explanation:
This is a linear function, which you can see if you graph it. It is in the form of y = mx + b where be = 0 and the slope is 8.5.
Toilet rolls come in a pack of 4 and 9 the 4-pack is priced at £2.04 and the 9- pack is priced at £4.68 . By calculating the price per roll, determine which pack is better value
4pack price plus 9pack price
so it implies that 2.o4+4.68=6.72
- Graph the solution of the absolute
value inequality on the number
line.
2|x + 3|+1>3
Number line with open circles on -4 and -2, with shading in opposite directions.
Solution:Given: 2 |x + 3| +1 > 3 absolute value inequality.
We must solve and graph the following absolute value inequality:
2 |x + 3| +1 > 3
Take a look at the following absolute value inequality: 2 |x + 3| +1 > 3
We have to apply absolute rule:
If |u| > a , a > 0 then u < -a or u > a.
2|x + 3|+1 < -3 or 2|x + 3|+1 >3
Consider inequality first.
2|x + 3|+1 < -3
When we subtract 1 from both sides, we get,
2|x + 3| +1 -1 < -3 -1
Simplify,
2 |x + 3| < -4
We get by dividing both sides by two,
(2|x + 3|)/2 < -4/2
|x + 3| < -2
There is no solution for x ∈ R.
Now consider the second inequity.
2|x + 3|+1 >3
When we subtract 1 from both sides, we get,
2|x + 3|+1 - 1 >3 - 1
Simplify,
2|x + 3| >2
We get by dividing both sides by two,
(2|x + 3|) / 2 >3/2
|x + 3| > 1
x + 3 < -1 or x + 3 >1
x < -4 or x > -2
As a result, we have the solution to the absolute value inequality:
2|x +3|+1 > 3 as
On the number line shown below.
On the graph shown below.
As a result, the number line has open circles on -4and -2, with shading going in opposite directions.
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one side of rectangle is 5cm than the other side. its perimeter is 38 cm. find the measure of the sides
The measure of the sides of rectangle is 14cm.
What is rectangle?Each pair of neighboring sides in a rectangle are perpendicular, making it a special case of a parallelogram. A parallelogram is a specific type of trapezium, also referred to as a trapezoid in North America, in which the lengths of the two pairs of opposite sides are parallel. A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equal sides.
Given that,
One side of rectangle is 5cm than the other side.
Its perimeter is 38 cm.
P = 2b +2 h
38= 2b+ 2(5)
38= 2b+ 10
38-10= 2b
28= 2b
b = 28/2
b= 14cm.
Therefore, the measure of the sides is 14cm.
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Angela, Emily, and Christina are on their school’s soccer team. The table below shows the number of shots each player made and missed.
The ratio of shots made to the shots missed for each player will be:
Angela = 4:1
Emily.= 3:1
Christina = 7:3
How to illustrate the ratio?It should be noted that from the information given, Angela made 12 shots and missed 3 shots. Therefore the ratio is:
= 12/3
= 4/1
= 4:1
Emily made 15 shots and missed 5 shots. Therefore the ratio is:
= 15/5
= 3/1
= 3:1
Christina made 21 shots and missed 9 shots. Therefore the ratio is:
= 21/9
= 7/3
= 7:3
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Use the following function rule to find f(2).
f(x) = 4 + x
f(2)=
what is my name and my class
iyaazs humaizAnswer:
y-step explanation:
the number of people arriving for treatment at an emergency room can be modeled by a poisson process with a rate parameter of five per hour. what is the probability that exactly four arrivals occur during a particular ""half an hour""?
There is a 0.087 = 8.73% chance that four arrivals will occur at the same half-hour.
What is defined as the Poisson's distribution?The Poisson is a discrete distribution that calculates the likelihood of a given number of events occurring in a given time period.The probability that X is the number of successes of a random variable in a Poisson distribution is given by the following formula: P(X = x) = (e∧(-μ)× μˣ) / x!In which case,
x represents the number of successes.
The Euler number is e = 2.71828 = 2.72
μ is the average over the given time interval.
With a rate parameter of five per hour, the Poisson process is used.
So, μ = 5
The likelihood of exactly four arrivals occurring at the same time;
This is known as P(X = 4).
Put the values in the formula;
P(X = x) = (e∧(-μ)× μˣ) / x!
P(X = 4) = (2.72∧(-5)× 5⁴) / 4!
Simplifying the equation;
P(X = 4) = 0.08736
P(X = 4) = 8.73%
0.087 = 8.73% chance that exactly four arrivals happen during a specific half -hour.
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the length of Michelle's room is shown. The ratio of length to width is 4:3. What is the width of Michelle's room?
it is 111
The width of Michelle's room is 111 inches.
How to find the width of a rectangle?The ratio of the length to the width is 4:3.
The width of her room can be calculated as follows:
Therefore,
length = 12 ft 4 inches
Hence.
1 ft = 12 inches
12 ft = 144 inches
Hence,
length = 144 + 4 = 148 inches
Therefore,
x = length + width
4 / 7 × x = 148
4x / 7 = 148
cross multiply
4x = 148 × 7
4x = 1036
x = 1036 / 4
x = 259
Hence,
width of the rectangle = 259 - 148
width of the rectangle = 111 inches
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All of the following expressions represent the sum of n and itself, except.
O2n
On²
On+n
All of the following expressions represent the sum of n and itself, except n²
To solve his problem, we need a brief idea about algebraic operations like summation, multiplication, etc.
When we add two or more same algebraic digits we have to just add their coefficients. Otherwise, it remains the same.
Example :
x + 2x + 4x = 6x [ 1 + 2 + 4 = 7; as 1,2,4 are the coefficient of x, 2x, 4x ] x + 2y + z = x + 2y + z ( remains unchanged as they all are different numbered )Here 2n = n + n, the sum of n and itself but n² = n × n, which is the multiplication of n and itself,
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Alice, raul, and jane are baking cookies together, alice brought 2.5 cups of flour, raul brought 1 1/4 cups of flour and jane brought 3/4 cups of flour. how many cups of flour they have all together? show all work.
The total cups of flour Alice, Raul and Jane have altogether is equal to 6.
We can determine the number of cups of flour they have all together by the addition of the fractions brought by each one of them.
First, we convert the decimal value of 2.5 into fraction form;
2.5 = 2.5/1
Multiplying and dividing both sides by 10;
25/10 = 5/2
Now we add the fractions as follows;
Total number of cups of flour = 5/2 + 11/4 + 3/4
We Multiply 5/2 by 2 to get the same denominator as the other values;
5×2 / 2×2 = 10/4
10/4 + 11/4 + 3/4 = 6
Therefore, the total number of cups of flour they have altogether is calculated to be 6.
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assume that your compute completes a 5000 equation back substitution in 0.005 seconds. use the approximate operation counts n 2 for back substitution and 2n 3/3 for elimination to estimate how long it will take to do a complete gaussian elimination of this size.
In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Given that your computer completes a 5000 equation back substitution in 0.005 seconds.
then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000
and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33
then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds
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15≥3x-3>-12
What would the answer to this be
Answer:
-3 < x ≤ 6
(-3, 6]
Step-by-step explanation:
15 ≥ 3x - 3 > -12
+3 +3 +3
------------------------
18 ≥ 3x > -9
÷3 ÷3 ÷3
-------------------
6 ≥ x > -3
-3 < x ≤ 6
(-3, 6]
I hope this helps!
The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function?
The domain is negative 10 through 30.
The domain is all integers from negative 10 through 30.
The domain is all real numbers 0 through 30.
The domain is all integers from 0 through 30.
The domain of this function is that: C. the domain is all real numbers 0 through 30.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values (numbers) to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
How to identify the domain of this graph?The horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By critically observing this graph of a function shown, we can reasonably infer and logically deduce the following:
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29 less than -10 times a number is equal to -18 times the number plus 91
Answer:
-10x - 29 = -18x + 91
x = 15
Step-by-step explanation:
29 less than -10 times a number is equal to -18 times the number plus 91:
-10x - 29 = -18x + 91
add 21 to both sides:
-10x - 29 + 29 = -18x + 91 + 29
-10x = -18x + 120
add 18x to both sides:
-10x + 18x = -18x + 120 + 18x
8x = 120
divide both sides by 8:
8x/8 = 120/8
x = 15