The number of days took by Rita to travel the distance of 1,875 miles is 4.5 days.
What is termed as unitary method?We will learn how to calculate the value of such a unit from value of a multiple and thus the value of a multiple from value of a unit using the unitary method.
In general, we first calculate the value of one article from value of a multiple, and then calculate the value of the preferred number of articles from value of one. Typically, this method involves both multiplication and division operations.If we know the cost of one object, we can calculate the cost of many objects besides multiplying the cost of one object by the number of objects.Now, as per the given question;
The total day taken by Rita to cover 1,250 miles is 3.
Thus, 1250 miles ----> 3 days
Let number of days taken by Rita to cover 1875 miles is 'x'.
So, 1875 miles ----> x
Then, the total distance will be
1875×(3) = 1250x
x = (1875×3)/1250
x = 4.5 days
Therefore, the total time taken by Rita to finish the distance of 1,875 miles is 4.5 days.
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A number cube with the numbers 1 through 6 is rolled. The probability of rolling an odd or even number is 1. What is the likelihood of rolling an odd or even number?
1/2 is the likelihood of rolling an odd or even number in probability.
What is probability and how is it calculated?
According to the probability formula, the probability of an event occurring, or P(E), is equal to the proportion of positive outcomes to all outcomes. P(E) is defined mathematically as favorable outcomes divided by total outcomes.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.The event "rolling an odd number" contains three outcomes. There are 6 equally likely outcomes in the sample space. Divide to find the probability of the event.
P(E) = 3/9 = 1/2
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3.66 x 10^1 in standard form
36.6 in standard form will be [tex]3.66 * 10^{1}[/tex]
As per the question statement, we are given standard form of a number i.e., [tex]3.66 * 10^{1}[/tex].
We have to find the number whose standard form is [tex]3.66 * 10^{1}[/tex]
For solving this, we should be knowing about standard form conversion from any given number which is written by raising the number to power of 10.
[tex]3.66 * 10^{1}[/tex][tex]= 3.66 *10 = 36.6[/tex]
Therefore 36.6 is the number whose standard form is [tex]3.66 * 10^{1}[/tex]
Standard form: A number can be expressed in a fashion that adheres to specific standards by using its standard form. Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.To learn more about Standard form, click on the link given below:
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What is the major determinant of the permeability of a membrane to a specific ion?
The major determinant of the permeability of a membrane to a specific ion is "the quantity of open ion channels that are specific to that ion."
What is ion channels?Certain cells, known as excitable cells, are distinguished by their capacity to produce electrical signals.
Some key features regarding the open ion channels are-
Although there are many different types of excitable cells, such as neurons, muscle cells, & touch receptor cells, they all use ion channel receptors to transform chemical or mechanical messages in to the electrical signals.Whenever an ion channel is open, ions to move in a single-file fashion into and out of the cell. Individual ion channels are ion-specific, which means that they typically allow only one type of ion to pass via them. The amino acids that line a channel, as well as the physical width of the channel, determine which ions can pass from the cell's exterior to its interior, or vice versa.To know more about the ion channels, here
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Identify the a, b and c values from general form:
f(x) = 7x^2 - 10x + 3
a =
b =
c =
Answer:
a = 7
b = -10
c = 3
That is all for this question.
QUICK PLS I NEED HELP
Answer:
1/3 is a repeating decimal. 0.33333....
7/12 is a repeating decimal 0.5834....
1/5 is a terminating decimal 0.5
5/8 is a terminating decimal 0.625
2/9 is a repeating decimal 0.2222......
Step-by-step explanation:
Hope it helps! =D
Answer:
1/3 is a repeating decimal
7/12 is a repeating decimal
1/5 is a terminating decimal
5/8 is a terminating decimal
2/9 is a repeating decimal
The regular price of a photograph printed on a canvas is $18. You have a coupon for 15% off. How much is the discount?
I KNOW ITS 2.70 I JUST NEED TO KNOW HOW TO GET IT PLEASE MY THINGS DUE TONIGHT AND IM VERY BAD AT PERCENTAGES!!
Neville and his friends are going to a local peach festival. They plan to go on rides all day. The tickets for the rides are $0.50 each. Find the domain and range with words and inequalities.
The domain of x will be a set of whole numbers greater than 2 which is; x > 2
The range of y will be a set of rational numbers greater than or equal to 1.5 which is; y ≥ $1.5
What is the domain and range?
The domain of a function is defined as the set of all possible input values that make the function possible while range is the set of all possible output values that are possible from the input values.
The function is; y = 0.5x
Since the value of x represents the number of people that purchased tickets for the rides including Neville, then we can say that the domain of x will be a set of whole numbers greater than 2 because we are told it is him and his friends which is plural. Thus;
The domain is; x > 2
The range will be;
y ≥ 3(0.5)
y ≥ $1.5
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find the solutions to the equation in the interval 0 ≤ theta ≤ ????/2 . enter your answers as a comma-separated list. 2cos(4theta) − 1
The solutions to the equation in the interval are x = π/3, x = 5π/3 and x = π.
What is an equation?A formula for a mathematical equation is one that connects two expressions and expresses their equality using the equals sign (=). In English, an equation is defined as a properly written formula that consists of two expressions connected by an equals sign, however cognates of the word in other languages may have slightly different meanings. For instance, an equation is defined as having one or more variables in French. Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables.
Let's assign a variable to the cosine function, cos(x), and say y = cos (x). Our phrase changes to
4y2 + 2y - 2 = 0
2(2y2 + y - 1) = 0
2y2 + y - 1
= 2y(y+1) - (y + 1)
= (2y - 1)(y + 1)
2(2y-1)(y+1) = 0
y + 1 = 0 = y = -1
The answers cos(x) = 1/2 and cos(x) = -1 result from replacing y with cos(x). Our solutions are x = /3, x = 5/3, and x = on the interval [0, 2], where cos(x) = 1/2 for x = /3 and x = 5/3 and cos(x) = -1.
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Carla wrote this number:815,247 travis wrote this number: 638.571 the digit 8 in carlas number represents how many times what the digit 8 represents in travis number?
The digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.
The number written by Carla = 814,247
The number written by Travis = 683,571
The place value of digits starting from left is ones, ten's, hundreds, thousands, ten thousand, hundred thousand and so on.
As per this sequence of values, we can see that digit 8 in Carla's number is at hundred thousand place value. Also, digit 8 in Travis' number is at ten thousand place value. So, representing these place value in numeral form and finding the number of times one is greater than other.
Digit 8 in Carla's number: 100,000
Digit 8 in Travis' number: 10,000
Finding the answer -
Value = 100,000 ÷ 10,000
Cancelling common zeroes from numerator and denominator
Value = 10
Hence, digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.
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The correct question is -
Carla wrote this number: 814,247
Travis wrote this number: 683, 571
The digit 8 in Carla’s number represents how many times what the digit 8 represents in Travis’ number?
A. 10
B. 100
C. 1000
D. 1/10
6−2(8−x)=2x−10
l don't understand the question
Answer: x has infinite number of solutions
Step-by-step explanation:
6−2(8−x)=2x−10
6-16-2(-x)=2x-10
-10+2x=2x-10
2x-10=2x-10 ==> x has infinite number of solutions
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
5000+200+5000+300+40
Answer:
10,540
Step-by-step explanation:
(5000*2)+(200+300)+40
10,000+500+40=10,500+40=10,540
Hope this helps!
Answer:
10540
Step-by-step explanation:
Please help me, it’s due in 35 mins. Please & thank you *SHOW YOUR WORK*
Answer:
Week 1:
Michelle makes the most with $237.50
Chris made $195 and Alex made $178.50
Week 2:
Michele makes the most with $232
Chris made $192.50 and Alex made $180.83
Week 3:
Alex makes the most with $234.50
Chris made $272.50 and Michelle makes $206
Step-by-step explanation:
For Chris in week 1, multiply 3/100 x 1500 to get what he makes on commission. That equals $45. $150 + $45 = $195
For Michelle in week 1, multiply 15 x 5 = 75. Also multiply 25 x 6.5 = 162.5 to find how much she gets payed by the Pringles. Add it up to get $237.50
For Alex in week 1, multiply 21 x 8.5 = $178.50
For Chris in week 2, multiply 1/40 x 1000 = $25 to get what he makes on commission for the first $1,000. Then multiply 7/200 x 500 = $17.50 to get when he makes on commission for the sales over $1,000. Add it all up and get $192.50
For Michelle in week 2, multiply 10 x 5 = 50 to find how much she gets payed by the Rogers'. Then multiply 28 x 6.5 = 182 to find how much she gets payed by the Pringles. Add it up to get $232
For Alex in week 2, multiply 25 x 7 = 175 to find out how much he earns for 5 hours each day. Then, since Alex worked another 50 minutes, multiply 5/6 x 7 = 5.83. Add it up to get $180.83
For Chris in week 3, multiply 3/200 x 1500 = 42.50 to get what he makes on commission. Then add it with the base salary of 250 to get $272.50
For Michelle in week 3, since the Pringles paid her double, she earned $13 an hour. So, multiply 13 x 12 = 156. Then add it with the $50 she makes from the Rogers' and get $206
For Alex in week 3, multiply 7 by the number of hours he works each day in the week. Get $234.50
135,701.949 rounded into hundreds
135,701.949 rounded to the hundredths is 135,701.95
Cherries cost 4 dollars per pound.my mother r lb of cherries and my father bought 2 lb of cherries.how much more money did my mother spent on cherries than my father
Mother spent (4r - 8) dollars more on cherries than did the father.
An expression using numbers and related operations is called a numerical expression.
According to the question, a pound of cherries costs $4.
Mom purchased r pounds.
The price of the cherry is calculated as follows: 4r = weight x $/lb.
Father purchased 2 pounds, thus the price of the cherries is 4 (2), or $8.
We remove the smaller value from the higher value, which is 4r - 8, where r must be more than two. Given that the mother spent more money on cherries than the father, the mother's cost of cherries is a greater value.
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5/8 - (1/4) squared equals
Given 24.8 × 3.5, find the product. 8.68 72.4 75.64 86.8
The product of the given expression 24.8 × 3.5 is 86.8. option D
Product of numbersProduct refers to any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
This is also a quantity obtained by multiplication of two or more numbers.
The Multiplication symbol is represented by ( × )
For instance,
product of 2 and 3 is 6.The product of 2, 3, and 4 is 24.24.8 × 3.5
= 86.8
Therefore, the product of the given expression 24.8 × 3.5 is 86.8.
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A professional gamer is preparing for a tournament. in his game he averaged a score of 534 points, every day, for 5 days. then, for the next 3 days he scored a total of 1827 points. finally in another 4 days he averaged a score of 516 points each day. in 12 days how many points in total did this gamer get
In 12 days a professional gamer got 6561 points
We know that average is ratio of the sum of all observations and the number of total observations.
For given question,
A professional gamer averaged a score of 534 points, every day, for 5 days.
⇒ 534 = (total score of 5 days) / 5
⇒ total score of 5 days = 534 × 5
⇒ total score points of 5 days = 2670 points
Then, for the next 3 days he scored a total of 1827 points.
So, the total points of 8 days would be,
total score points of 5 days + total score points of 3 days
⇒ 2670 points + 1827 points = 4497 points.
In another 4 days he averaged a score of 516 points each day.
⇒ 516 = (total score of 4 days) / 4
⇒ total score of 4 days = 516 × 4
⇒ total score points of 4 days = 2064 points
So, the total number of points he did in 12 days:
total score points of 5 days + total score points of 3 days + total score points of 4 days
= 2670 points + 1827 points + 2064 points
= 6561 points
Therefore, in 12 days a professional gamer got 6561 points
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How do you get 2.718?
Answer:
Step-by-step explanation:
[tex]\lim\limits_{x \to 0} (1+x)^\frac{1}{x} =e\ (the\ second\ remarkable\ limit.)\\\\ \lim\limits_{x \to 0} (1+x)^\frac{1}{x} \approx2.718[/tex]
1. Eight less than the product of a
number and 6 is seven less than
that number
2. The product of a number and 2 is the same as the sum of that number and eleven
The values of x are 1/ 5 and 11 respectively.
What are algebraic expressions?Algebraic expressions are expressions that are comprised of terms, constants, coefficients, variables and factors.
They are also made up of arithmetic operations made up of subtraction, addition, multiplication, division.
To determine the expressions, we have;
1. Let the number be x
We have the expression as;
6x - 8 = x - 7
collect like terms
6x - x = - 7 + 8
5x = 1
Make 'x' the subject
x = 1/ 5
2. Let the number be x
2x = x + 11
collect like terms
2x - x = 11
x = 11
Thus, the values of x are 1/ 5 and 11 respectively.
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can someone help me with all of this and show work pls (I posted this before but I had to create a new acc atm) pls I'm begging bro
Answer:
Step-by-step explanation:
3.6w = 2 (0.8w+12) MUST DO WITH AN EXPLANATION IF ITS CORRECT ILL GIVE BRAINLIEST
Answer:
w=12
Step-by-step explanation:
3.6w=2(0.8w+12)
3.6w=2x0.8w+2x12
3.6w=1.6w+24
3.6w-1.6w=24
2w=24
w=12
HOPE THIS WILL HELP;)
How many centimeters are in 7 feet given that 1 inch is 2.5 cm
Answer: 210 cm
Step-by-step explanation:
1 inch=2.5 cm
1 foot=12 inches
1 foot*12 inches*2.5 cm=30 cm
1 foot=30 cm
7 feet=30*7=210 cm
which sequence of rigid transformations will map the preimage ABC onto image A'B'C'?
The sequence of rigid transformations that will map the preimage ΔABC onto image ΔA'B'C' is Option(a) a reflection across the x-axis, a translation 8 units right, and then a reflection across the x-axis.
What is the sequence of rigid transformations?There are three basic rigid transformations: reflections, rotations, and translations.Reflections, as the name implies, mirror the given shape over a particular line. Translations slide or shift a shape from one location to another, whereas rotations spin a shape about a predetermined center point.Co-ordinates of the points of ΔABC are,
A = (-4, 2)
B = (-6, 2)
C = (-2, 6)
point (x,-y) is the reflection of the point (x,y) across the x-axis.
So, new co-ordinates are,
A = (-4, -2)
B = (-6, -2)
C = (-2, -6)
point (x+8,y) is the translation of the point (x,y) by 8 units right.
So, new co-ordinates are,
A = (4, -2)
B = (2, -2)
C = (6, -6)
Then, the reflection of the point (x,y) across the x-axis is the point (x,-y).
So, new co-ordinates are,
A' = (4, 2)
B' = (2, 2)
C' = (6, 6)
These are the coordinates of ΔA'B'C' so the correct answer is Option(a).
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"The complete question is: Which sequence of rigid transformations will map the preimage ΔABC onto image ΔA′B′C′?
a) a reflection across the x-axis, a translation 8 units right, and then a reflection across the x-axis
b) a translation 4 units down and 10 units to the right
c) a reflection across the line y = x followed by a rotation 90° counterclockwise
d) a rotation 180° clockwise followed by a reflection across the x-axis."
Evaluate 2X^2 + 3X -10 for the domain of {-2, 3}
The values of the expression at the domain {-2, 3} are {-8, 4}
How to evaluate the expression for the domain?The expression is given as
2x^2 + 3x - 10
The domain of the function is given as
{-2, 3}
Rewrite the domain as
x = {-2, 3}
Next, we substitute these values of x in the expression 2x^2 + 3x - 10
So, we have
x = -2:⇒ 2(-2)^2 + 3(-2) - 10 = -8
x = 2:⇒ 2(2)^2 + 3(2) - 10 = 4
Hence, the values of the expression at the domain {-2, 3} are {-8, 4}
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can anyone solve -6(4-x)<-4(x+1)
Answer: x<2
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
hope this was helpful!! - hailey_ <3 :)
Suppose that P and Q are points on the number line.
If PQ=10 and Q lies at 13, where could P be located?
If there is more than one location, separate them with commas.
we get that the point P can either lie at - 3 or at 23.
We are given the two points:
P and Q
We are also given the distance between the two points P and Q is:
PQ = 10 units.
Now we have that Q lies at 13.
We have to find the location of P.
We know that
Distance = P ± Q
10 = P ± 13
so, we get that
10 = P + 13 or 10 = P - 13
P = 10 - 13 or P = 13 + 10
P = -3 or P = 23
Therefore, we get that the point P can either lie at - 3 or at 23.
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Which expression represents the product of 3 and 7
Answer:
343.
Step-by-step explanation:
nice :)
The product of 3 and 7 is 21.
What is the product of two number?The product of two numbers is the result you get when you multiply the numbers together.
Given are two numbers, 3 and 7.
When we multiply 3 to 7 we get 21,
Mathematically, it can be expressed as,
3x7 = 21
Hence, The product of 3 and 7 is 21.
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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
a certain european automobile has a gas mileage of 19 km/l. what is the gas mileeage in miles per gallon
The gas mileeage in miles per gallon is 44.69 miles per gallon
How to convert 19 Km/L to miles per litresWe'll begin by converting 19 Km/L to miles per litres. This can be obtained as follow:
Gas mileage (in Km/L) = 19 Km/LGas mileage (in mile per litres) =?1 Km/L = 0.621371 mile per litre
Therefore,
19 Km/L = (19 Km/L × 0.621371 mile per litre) / 1 Km/L
19 Km/L = 11.806 miles per lire
How to convert 11.806 miles per litre to miles per gallonWe can convert 11.806 miles per litre to miles per gallon as follow:
1 mile per litre = 3.78541178 miles per gallon
Therefore,
11.806 miles per litre = (11.806 miles per litre × 3.78541178 miles per gallon) / 1 mile per litre
11.806 miles per litre = 44.69 miles per gallon
Thus, the gas mileage is 44.69 miles per gallon
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