The four rational number between -5/6 and -4/9 are (-43/54, -37/54, -35/54 and -31/54).
First we will make the denominator of -5/6 and -4/9 same by multiplying the numerator and denominator of -5/6 by 9 and multiply the numerator and denominator of -4/9 by 6, we get
-5x9/6x9 = -45/54 and -4x6/9x6 = -24/54
Now, we have -45/54 and -24/54 whose denominator are same.
we can choose or pick any four integers as numerator in between -45 and -24 with denominator as 54.
-43/54, -37/54, -35/54 and -31/54 are the four rational number having numerator in between -45 and -24 with denominator as 54.
Therefore, -43/54, -37/54, -35/54 and -31/54 are the four rational number between -5/6 and -4/9.
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HELP HELP!! There are 27 cats and dogs at an animal shelter. The ratio of cats to dogs is 4:5. Write the ratio of the number of dogs to the total number of cats and dogs at an animal shelter . Dogs: total _______
Answer:
[tex]\frac{\text{dogs}}{\text{total}} = \frac59[/tex]
Step-by-step explanation:
We can say that the amount of cats is [tex]4x[/tex] and the amount of dogs is [tex]5x[/tex], as we know that [tex]\frac{\text{cats}}{\text{dogs}} = \frac45[/tex]
Therefore, the total amount of animals (cats and dogs) is [tex]9x[/tex].
[tex]\frac{\text{dogs}}{\text{total}} = \frac{5x}{9x} = \frac59[/tex]
To answer the question, consider the following numbers. 38 152 570 76 190 342 57 4788 57 19 285 171 Which of the above are divisible by 4?
Based on the given numbers, the number that is divisible by 4 are: 152, 76, and 4,788.
What numbers are divisible by 4?The numbers that are divisible by four need to meet certain requirements and the first one is that they should end in an even number.
The numbers divisible by 4 are:
= 152/4 = 38
= 76 / 4 = 19
= 4,788 / 4
= 1,197
This shows that these numbers are divisible by 4.
In conclusion, the numbers that are divisible by 4 are 152, 76, and 4,788.
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Decribe and correct the error in determining whether the relation is a function.
Answer:
It is not a function because the number 4 (input) is being used more then once
It says write and solve an equation to find the number of miles you must drive to have the same cost for each of the car rentals.
$15 plus $0.50 per mile
$25 plus $0.25 per mile
The number of miles when the cost would be the same is 40 miles.
When would the cost be the same?The equation that represents the total cost for car rentals is a linear function. A linear function is a function with a single variable that is raised to the power of one. A linear function is a straight line when drawn on a graph.
Total cost = constant cost + (cost per mile x number of miles driven)
First rental : $15 + (0.50 x m)
$15 + 0.50m
Second rental : $25 + (0.25 x m)
$25 + 0.25m
When the cost is the same for the car rentals, the two equations would be equal:
$15 + 0.50m = $25 + 0.25m
$25 - $15 = 0.50m - 0.25m
$10 = 0.25m
m = 10 / 0.25
m = 40 miles
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8. Point C (0, -1) is the midpoint of line segment EF. If point F is located in the coordinate point (-4, -6), then the endpoint E is located at
Answer:
9,
Step-by-step explanation:
PLSS HELP ILL GIVE U A STAR, PLSSSSS
6 mechanics can perform a deluxe service on 3 cars in a day. How many days will it take 2 of the mechanics to perform this service on 5 cars
Answer:
It would take 5 mechanics to repair 22 cars in 5 hours
Step-by-step explanation:
2 garage mechanics take 3 hours to repair 6 cars.
to repair 1 car, 1 garage mechanics take = (2×3)/6 = 1 hour
So In 1 hour, 1 car can be repaired by 1 mechanic
22 cars can be repaired in 1 hour by = 22/1 = 22 mechanics
22 cars can be repaired in 5 hours by = 22/5 = 4.4 = 5 mechanics
(4.4 mechanics are not possible. There should be 5 mechanics)
Isabel has 13 rings and 6 bracelets she chooses a ring and a bracelet at random
how many possible combinations of ring and bracelet does she have
The number of possible combinations of ring and bracelet she has is 78
How to determine how many possible combinations of ring and bracelet does she have?The given parameters are
Rings = 13
Braceletes = 6
The number of possible combinations of ring and bracelet she has is calculated by multiplying the number of rings and the number of bracelets
This is represented as
Possible combination = Rings x Braceletes
Substitute the known values in the above equation
So, we have
Possible combination = 13 * 6
Evaluate the product in the above equation
So, we have
Possible combination = 78
This means that she has 78 possible combinations of ring and bracelet
Hence, the number of possible combinations of ring and bracelet she has is 78
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4 1/2 ÷ (-1 3/7) =
Dividing mixed numbers with negatives
What is the equation of the line?
The equation of the line from the given figure is y=-7.
We need to find the equation of the line from the given figure.
What is the equation of the line?The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x and y to form an algebraic equation, which is referred to as an equation of a line.
From the given figure, we can see that the line is passing through the point (0, -7).
The slope (m) of the line is 0.
Put m=0 and (0, -7) in y=mx+c and simplify.
That is, -7=c
Now, substitute c=-7 in y=mx+c.
Thus, y=-7
Therefore, the equation of the line from the given figure is y=-7.
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HELP ive tried like4 times
Answer:
B'C' = 16.2 and AB = 2.8
Step-by-step explanation:
the scale factor is 3 , then sides of Δ A'B'C' are 3 times Δ ABC
B'C' = 3 × BC = 3 × 5.4 = 16.2 units
Then
the sides of Δ ABC are [tex]\frac{1}{3}[/tex] times Δ A'B'C'
AB = A'B' ÷ 3 = 8.2 ÷ 3 ≈ 2.7 units ( to the nearest tenth )
a box has 5 blue and 2 green jelly beans. a bag has 2 blue and 5 green jelly beans. a jelly bean is selected at random from the box and placed in the bag. then a jelly bean is selected at random from the bag. if a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green?
Answer:
5/7
Step-by-step explanation:
because it is 5/(2+5)
Albert uses a grid to multiply 27 by 13. Albert then multiplies two different numbers.
It should be noted that when Albert uses a grid to multiply 27 by 13, the product that will be gotten will be 351.
What isn't a product?
It should be noted that in mathematics, a product or an expression that specifies factors to be multiplied is the outcome of multiplication.
The multiplicand, multiplier, and product are the components of a multiplication sentence. The first number is the multiplicand, the second number is the multiplier, and the result is the product.
It should be noted that based on the information, we want to multiply 27 and 13. This will be illustrated thus:
= 27 × 13
= 351
Therefore, when when Albert uses a grid to multiply 27 by 13, the product that will be gotten will be 351.
Note that the information is incomplete and was solved based on the available information given.
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For f(x) = 4x + 1 and g(X)=X 5, find (f+ g)(x).
Given the functions f(x) = 4x + 1 and g(x) = x + 5, the function operation ( f + g )(x) is 5x + 6.
Given the functions in the question;
f(x) = 4x + 1 g(x)= x + 5( f + g )(x) = ?To evaluate f + g, replace the function designators in f + g with the actual functions and simplify
( f + g )(x) = f(x) + g(x)
( f + g )(x) = (4x + 1) + (x + 5)
Remove the parenthesis and collect like terms
( f + g )(x) = (4x + 1) + (x + 5)
( f + g )(x) = 4x + 1 + x + 5
( f + g )(x) = 4x + x + 5 + 1
( f + g )(x) = 5x + 6
Given the functions f(x) = 4x + 1 and g(x) = x + 5, the function operation ( f + g )(x) is 5x + 6.
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In the equation b = a -2, which variable is the independent variable and which is the dependent variable ? Explain
In the equation b = a -2, which variable is the independent variable and which is the dependent variable ? Explain.
In the given equation b=a-2, a is an independent variable and b is an dependent variable.
Independent variable is variable whose values are unaffected by changes is referred to as an independent variable.
The dependent variable is defined as the variable whose evaluation of the independent variable determines the quality of the dependent variable.
For example, y=x+5
Here, According to changes in the evaluation of the variable "x," the estimation of the variable "y" also varies. The variable "y" is referred to as an dependent variable and the "x" is referred to as an independent variable.
Therefore, In the equation b=a-2, "a" is an independent variable and "b" is an dependent variable.
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The possible values of x are given by x-42-1. What is the greatest possible value of -5x ?
[tex]x-4~\geqslant~-1\implies x~\geqslant~-1+4\implies \boxed{x~\geqslant~3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{multiplying both sides by -5}}{-5(x)\underset{\stackrel{\uparrow }{notice}}{~\leqslant~}-5(3)}\implies -5x~\leqslant~-15\implies -5x= \begin{cases} -15 ~~ \textit{greatest value}\\ -16,-17,-18...-\infty \end{cases}[/tex]
let's recall that for inequalities whenever we divide or multiply or exponentialize by a negative value, we must flip the inequality sign, notice, multiplying by -5, flipped it sideways.
Also let's recall that on the negative side of the number line, the closer to 0, the greater, thus -1 is much much greater than -1,000,000.
Identify each function or situation as an example of exponential growth or decay. What is the y -intercept?
a. y=3(4x)
The given function is exponential growth and the y-intercept is y=3.
Given that the given function is y=3(4ˣ).
Exponential growth or decay describes the process of reducing or growing an amount by a consistent percentage rate over a period of time and it is represented by the function y=a(1-b)ˣ where, y is the final amount, a is the original amount and b is the growth or decay factor and x is the amount of time passed.
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 exponential decay.
The graph of the given function y=3(4)ˣ is shown in the attached image.
From the graph, it is visible that the given function is an exponential growth because a is 3 and it is positive and it is greater than 1.
Now, we will find the y-intercept by substituting x=0, we get
y=3(4⁰)
y=3(1)
y=3
Hence, the given function or situation y=3(4ˣ) as an example of exponential growth and the y-intercept is 3.
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GIVING AWAY 45 POINTS TO THE FIRST PERSON THAT ANSWERS
Subtract (−2)−(−1) using the number line.
Select the location on the number line to plot the difference.
When Jake volunteers at the animal shelter, he divides Two-thirds cup of cat food equally between 2 cats. How much food does he give each cat?
Answer: 1/3 cup of cat food
Step-by-step explanation:
[tex]\displaystyle\\\frac{2}{3}:2=\\\\ \frac{2}{3}*\frac{1}{2} =\\\\ \frac{(2)(1)}{(3)(2)}=\\\\ \frac{1}{3}\ cup\ of\ cat\ food[/tex]
Find the original price of a pair of shoes if the sale price 50 is after a 20 discount.
Answer:
70
Step-by-step explanation:
as the discount is 20 thus the original price would be 70
According to the number line, what is the distance between points A and B?
A
O6 units
O 7 units
O 12 units
O 14 units
B
-16-14-12-10-8-64 -2 0 2 4 6 8 10 12 14 16
The distance between points A and B is 14 units.
A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.
According to the number line,
Point A lie at - 2 on the number line and point B lie at 12 on the number line.
Now from 0 to point B,
The distance between point 0 and B is 12 units.
And from point A to 0 the distance is 2 units.
Therefore,
The total distance between points A and B will be:
AB = AO + OB
AB = 2 units + 12 units
AB = 14 units
Hence, the correct option is (D) 14 units.
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I need help with this, and if you can a little explanation
The median of the set of data is 14 1/ 2
How to determine the median
It is important to note that the median is the middle number of a given set of data.
Given the set of data;
12, 14, 15 , 16
Let's find the median;
There are two numbers in the middle, so we take their sum, and divide by 2, we have;
Median = 14 + 15/2
Find the sum of the numerators
Median = 29/ 2
Median = 14 1/2
Thus, the median of the set of data is 14 1/ 2
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Solve each equation. Check for extraneous solutions. 2+√x+5 =4
There is no solution for the equation 2 + √x + 5 = 4 for x ∈ R.
An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
A formula known as an equation uses the equals sign (=) to express how two expressions are equal.
Consider the equation,
2 + √x + 5 = 4
√x + 7 = 4
Subtracting 7 from each side of the equation.
√x + 7 - 7 = 4 - 7
√x = - 3
Since √f(x) cannot be negative for x ∈ R.
Hence, there is no solution for x ∈ R of the equation.
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What is the probability that a person selected randomly from the survey group is not in statistics given they are in AQR, or P(not statistics | AQR)?
The probability that a person selected randomly from the survey group is not in statistics given they are in AQR is 0.75
How to determine the value of the probability?The Venn diagram represents the given parameter
From the Venn diagram, we have the following values
n(not statistics and AQR) = 21
n(AQR) = 21 + 7
Evaluate the sum
n(AQR) = 28
The probability that a person selected randomly from the survey group is not in statistics given they are in AQR is then calculated as
P(not statistics | AQR) = n(not statistics and AQR)/n(AQR)
So, we have
P(not statistics | AQR) = 21/28
Evaluate the quotient
So, we have
P(not statistics | AQR) = 0.75
Hence, the probability that a person selected randomly from the survey group is not in statistics given they are in AQR is 0.75
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What could be the value of x in the following equation? Select all that apply. x2=49
Answer:
24.5
Step-by-step explanation:
24.5*2 is 49
Which values, when substituted for x in the expression \sqrt{x} , will result in an irrational number? Select all that apply.
The values, when substituted for x in the expression \sqrt{x} , that will result in an irrational number are:
x=[tex]\pi[/tex]x=2x=8x=168What is irrational number?An irrational number can be described as the type of real number that the representation can not be seen as that of simple fraction and they are been termed as the irrational numbers.
In this case , we can come into conclusion that any number that posses a non-terminating as well as non-repeating decimal fit in , hence values, when substituted for x in the expression \sqrt{x} , that will result in an irrational number are:
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Each row of the table shows a different speed-distance-time relationship.
A 3-column table with 2 rows. Column 1 is labeled Speed (meters per hour) with entries 35, 27. Column 2 is labeled Distance (meters) with entries A, 81. Column 3 is labeled Time (hours) with entries 4, and B.
Use the drop-down menus to correctly complete the table.
A =
B =
Based on the given values in the table that shows different speed-distance-time relationships, the value of A is 140 meters and the value of B is 3 hours.
How to find distance travelled and time taken?To find the distance, the formula is:
= Speed x time
The distance of A is:
= 35 x 4
= 140 meters
To find the time taken, the formula is:
= Distance / speed
The time in B is:
= 81 / 27
= 3 hours
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Multiply. State any restrictions on the variables.
4 x² / 5 y . 7 y / 12 x⁴
According to the question, the given rational expression can be simplified and as shown below:
Rational expression = [tex]\frac{4x^{2} }{5y}.\frac{7y}{12x^{4} }[/tex]
To simplify the given rational expression, calculate the factors of the numerator as well as denominator. And later divide it from each other. These expressions are also called as polynomial expressions.
Rational expression = [tex]\frac{1}{5}.\frac{7}{3x^{2} }= \frac{7}{15x^{2} }[/tex]
The final expression of the given equation is [tex]\frac{7}{15x^{2} }[/tex].
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
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Round 1.553 to the nearest hundredth.
this is bc im lazy but still help me plsss
Answer:
1.55 is the correct answer
Answer:
If you like to round 1.553 to the nearest hundredth, leaving only two numbers after the decimal point, then ask your teacher for help instead of letting yourself down. The result you'll get is 1.55
Step-by-step explanation:
Number Rounded to Nearest 100th
1.553 1.55
1.554 1.55
1.555 1.56
1.556 1.56
1.557 1.56
1.558 1.56
1.559 1.56
1.56 1.56
1.561 1.56
1.562 1.56
Ravi made $378 for 18 hours of work.
At the same rate, how many hours would he have to work to make $252?
Answer:
12 hours
Step-by-step explanation:
First, figure out her hourly rate
378 ÷ 18 = 21Next, divide 252 by the hourly rate to figure out how many hours he will have to work
252 ÷ 21 = 12Multiply the hourly rate by number of hours worked to check your answer
21 × 12 = 252At a rate of $21 per hour, he has to work for 12 hours to make $252.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Ravi made $378 for 18 hours of work.
So, Ravi's unit rate or earnings per hour is $(378/18).
= $21.
Now, In one hour he makes $21.
Therefore, To make $252 he has to work (252/21) hours.
= 12 hours.
So, Ravi has to work for 12 hours to make $252.
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A local hamburger shop sold a combined total of 437 hamburger and cheeseburgers on Thursday. There were 63 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?