To solve a linear equation with fractions, more than two procedures are required. To undo each action in reverse order, use inverse operations.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
If a mathematical equation contains fractions, divide both sides by the LCD to eliminate the fractions.
Solving a Multi-Step Equation in Steps
Step 1, eliminate the fractional equation.
Step 2: Remove the parentheses from either side using the Distributive Property.
Combining similar phrases on each side in step three.
Step 4: Reverse any additions or subtractions.
Step 5: Reverse division or multiplication.
For more information equations with fractions kindly visit to
https://brainly.com/question/12240039
#SPJ4
what is angle 1 2 and 3 moo
How do you simplify 3 equations?
A set of distinct numerical expressions known as simplify algebraic expressions in mathematics has been deconstructed by numerous philosophers and intellectuals throughout history. Speaking of algebra, it is a discipline of mathematics that deals with geometry and number theory, two of the oldest ideas in mathematics.
1. Group like terms: Combining all the terms that have the same variables and coefficients to form a single term.
2. Factor out the greatest common factor (GCF): Factoring out the greatest common factor from each of the terms in the equation.
3. Use the distributive property: Rewriting an expression using the distributive property to make it easier to solve.
4. Combine like terms: Summing or subtraction the same terms on both sides of the equation.
5. Use factoring techniques: Factoring a polynomial equation to make it easier to solve.
6. Use the addition or subtraction principle: Rewriting an equation so that all the terms are on the same side of the equation.
7. Use the multiplication or division principle: Rewriting an equation so that all the terms are on the same side of the equation, multiplied or divided by the same number.
8. Use substitution: Replacing an unknown with a known value in an equation.
9. Use the quadratic equation: Solving an equation with a quadratic equation if it can be written in the form of ax2 + bx + c = 0 by simplify.
Learn more about simplify here
https://brainly.com/question/17453188
#SPJ4
Janelle and Hector work at the Pumpkin Pi Bakery as
2) Recall that the amount of profit the bakery earns
pie makers. Janelle can make 10 pies in 2 hours and each day depends on the number of pies made, n. This Hector can make 9 pies in 3 hours. Assume these rates profit can be found using the function are constant. How much profit do they bring to the
P(n) = 15.5 - 85. If Janelle and Hector make 20
bakery?
How many pies can Janelle and Hector make together in 1 hour? How many pies can Janelle and Hector make together in t hours?
Answer:
9 pies per hour
Step-by-step explanation:
If Janelle can make 10 pies in 2 hours
10 divided by 2 is 5
so she can make 5 pies per hour
If hector can make 9 pies in 3 hours
9 divided by 3 is 3
so he can make 3 pies per hour
so 3 + 5 is 9 pies per hour
together they they can make 9 pies per hour
What image would be created by a scale factor of 1?
The image created by the scale factor of 1 will be same as the pre-image
The scale factor of the image = 1
The ratio between the new size of the figure and the original figure = 1 : 1
The scale factor is the ratio between the dimensions of the new figure and the dimensions of the original figure.
The image in the dilation is the new/final figure and the pre-image is the original figure before dilation
Here, the size of the image and pre-image will be same because the ratio is 1 : 1, image and pre-image has same dimensions
Therefore, the image and the pre-image will be same
Learn more about scale factor here
brainly.com/question/22312172
#SPJ4
suppose 400 different researchers all randomly select samples of 800 individuals from a population. each researcher uses his or her sample to compute a 95% confidence interval for the proportion that has blue eyes in the population. about how many of the confidence intervals will cover the population proportion?
Assuming that the population proportion of blue eyes is accurately reflected in each sample, about 380 of the 400 confidence intervals should cover the population proportion.
The confidence interval for the proportion of blue eyes in the population is calculated as follows:
Proportion of blue eyes in the population = sample mean +/- (1.96* Standard Error)
Where Standard Error = sqrt[(proportion of blue eyes in the population)*(1-proportion of blue eyes in the population)/sample size]
At a 95% confidence level, the confidence interval should cover the population proportion 95% of the time. Therefore, 95% of the 400 confidence intervals should cover the population proportion, which is approximately 380 intervals.
Learn more about population proportion here
https://brainly.com/question/15087042
#SPJ4
Determine the quotient: 5 3/5 ÷ 7 1/3 I need the answer Plus showing work
The quotient of the fractions is 42/55
How to determine the quotient of fractions?
The quotient of a fraction is the value that is obtained when you simplify the fraction
Given: 5 3/5 ÷ 7 1/3
5 3/5 = 28/3 and 7 1/3 = 22/3
5 3/5 ÷ 7 1/3 = 28/5 ÷ 22/3
= 28/5 × 3/22
= 84/110
= 42/55
Thus, the quotient is 42/55
Learn more about fractions on:
brainly.com/question/11562149
#SPJ1
raise p to the 7th power, then add q to the result
DONT SIMPLIFY
The expression equivalent to the statement raise p to the 7th power, then add q to the result is p⁷ + q
How to determine the expression of the mathematical statement?From the question, we have the following mathematical statement that can be used in our computation:
raise p to the 7th power, then add q to the result
When p is raised to the power of 7, we have the following representation
p⁷, then add q to the result
When q is added to p⁷ above, we have
p⁷ + q
Hence, the expression is p⁷ + q
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Use the law of sines to solve for the variable
By means of the law of cosine, the missing side of the triangle has a length of approximately 6.502 units.
How to use the law of cosine in a triangle
Herein we find the case of a triangle with two known side lengths and a known measure of an angle between the two given sides. The measure of the unknown side is determined by the law of cosine, whose definition is shown below:
x² = a² + b² - 2 · a · b · cos θ
If we know that a = 15, b = 12 and θ = 25°, then the equation for the triangle is:
x² = 12² + 15² - 2 · 12 · 15 · cos 25°
Now we proceed to simplify and find the resulting value of x by algebra properties:
x² = 369 - 360 · cos 25°
x² = 369 - 326.271
x² = 42.279
x ≈ 6.502
The length of missing side of the triangle is approximately equal to 6.502 units.
To learn more on law of cosine: https://brainly.com/question/17289163
#SPJ1
the table below shows the population, p, of a city During certain years, t. write a cubic equation to model the data, then predict the population of the city in 2020.
|t: 1993, 1996, 2000, 2005, 2009, 2014|
|s: 2850, 3,257, 4,234, 6,475, 10,158, 27,385|
Answer:Use the model to t = predict the population of each country in 2030.
Step-by-step explanation:
A fruit punch recipe uses 4 cups of orange juice for every 1 cup of cranberry juice. Select the three statements about the recipe that are true.
A. The ratio of orange juice to fruit punch is 4:5.
B. The ratio of cranberry juice to fruit punch is 1:4.
C. The ratio of cranberry juice to orange juice is 1 to 4.
D. There is 1 cup of cranberry juice for every 4 cups of fruit punch. E. There are 4 cups of orange juice for every 5 cups of fruit punch.
answer: b "the ratio of cranberry juice to fruit punch is 1:4"
C "The ratio of cranberry juice to orange juice is 1 to 4."
D "There is 1 cup of cranberry juice for every 4 cups of fruit punch. E. There are 4 cups of orange juice for every 5 cups of fruit punch"
A cereal box says that now it contains 20% more.
Originally, it came with 185 g of cereal.
How much cereal does the box come with now?
Answer:
222 grams.
Step-by-step explanation:
If it is 20% more, then it is 1.2 times more. 1.2*185=222, so the cereal box comes with 222 g of cereal.
which one is functions and non function??
Type the letters in order
please help me!!!!!
Answer:
2, 3, and 7 are not function
The rest are
Step-by-step explanation:
In a function every X has one and only one y
2 is not a function because X=5 has 2 different y's
3 is not a function because X=2 has 2 different Y's
7 is not a function because X=b has 2 different Y's
a store sells 8 colors of balloons with at least 31 of each color. how many different combinations of 31 balloons can be chosen?
12620256 different combinations of 31 balloons can be chosen
What are combinations?
Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.
From the question, we understand that; a combination of 31 is to be selected. Because the order is not important, we make use of combination.
Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.
So:
n= 31 +8-1 = 38
r=31
Selection = [tex]^{38}C_{31}[/tex]
Use the formula:
[tex]^{n}C_{r}=\frac{n!}{(n-r)! r!}[/tex]
= > [tex]^{38}C_{31}=\frac{38!}{(38-31)! 31!}[/tex]
[tex]^{38}C_{31}=\frac{38!}{7! 31!}[/tex]
= [tex]\frac{38*37*36*35*34*33*32*31!}{7*6*5*4*3*2*1* 31!}[/tex]
= 12620256
To learn more about the combinations from the given link
https://brainly.com/question/26852614
#SPJ4
Scherita invests $2300 in one account and $2400 in an account paying 3 % higher interest. At the end of one year she had earned $166 in interest. At what rates did she invest?
PLEASE PLEASE HELP!!!
The Interest Rates are 2% and 5% respectively
What is Simple Interest?
Simple interest is a quick and straightforward way to calculate the interest on a loan. Simple interest is calculated by multiplying the daily interest rate by the principle multiplied by the number of days between payments.
Solution:
Let, the lesser interest rate be x
Simple Interest = Principal*Time*Rate/100
Total Interest = $166
166 = 2300*x*1/100 + 2400*(x + 3)*1/100
166 = 2300x + 2400x + 7200 / 100
16600 = 4700x + 7200
9400 = 4700x
x = 2%
and the Higher Interest Rate = 5%
To learn more about Simple Interest from the given link
https://brainly.com/question/25793394
#SPJ1
if i have 5 apples and you have 6 oranges and i eat 3 and you eat 3 how many do we have left? NO CHEATING OR ELSE I WILL BEAT THE F- :) anways awnser.
A. i have 1 and you have 2?
B. i have 99 and you have 88?
C. i have 2 and you have 3?
D. i have 3 and you have 2?
Answer:
Option c) I have 2 and you have 3
5 - 3 = 2 6 - 3 = 3This shows a graph of a function.
Where is the function decreasing?
The function decreases when x is less than –7.
The function decreases when x is greater than –6.
The function decreases when x is between 0 and 4.
The function decreases when x is between –6 and 0.
We can infer from the graph that is attached that (D) the function decreases when x is between -6 and 0.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
So, consider the given chart.
For a certain period of points, the function is decreasing.
Attach the point to the x-axis and we will get that between the x-axis -6 and 0, the function is decreasing.
Therefore, we can infer from the graph that is attached that (D) the function decreases when x is between -6 and 0.
Know more about functions here:
https://brainly.com/question/29523308
#SPJ1
Complete question:
This shows a graph of a function.
Where is the function decreasing?
a. The function decreases when x is less than –7.
b. The function decreases when x is greater than –6.
c. The function decreases when x is between 0 and 4.
d. The function decreases when x is between –6 and 0.
The lens of the human eye inverts images onto the retina at the back of the eye. The triangles in the diagram, △ABC and △A′B′C′ , are similar. The length of segment BC is approximately 100 cm , and its corresponding side, segment B′C′ , has an approximate length of 2.5 cm . If segment AB has been measured as 30 cm , how tall is the inverted image of the object, represented by segment A′B′ , to the nearest hundredth of a centimeter?
The height of the inverted image representing segment [is 0.75 cm.
How to calculate the height?More than one triangle are said to be similar when the corresponding sides and angles have relatable properties. The length of segment A′B′ is 0.75 cm.
it can be observed that; △ABC ≅ △A′B′C′
Given that: BC = 100cm, B′C′ = 2.5 cm; AB = 30 cm,
A′B′ = ?
Comparing the corresponding sides of the similar triangles, we have:[tex]\frac{AB}{A^{I}B^{I} }[/tex] = [tex]\frac{BC}{B^{I}C^{I} }[/tex][tex]\frac{30}{A^{I}B^{I} }[/tex] = [tex]\frac{100}{2.5}[/tex][tex]A^{I}B^{I}[/tex] = [tex]\frac{30*2.5}{100}[/tex] = 0.75[tex]
A^{I}B^{I}[/tex] = 0.75
Thus the height of the inverted image representing segment [tex]A^{I}B^{I}[/tex] is 0.75 cm.
Learn more about triangles at:
https://brainly.com/question/11920446
#SPJ1
W
(4y-5)
(2y + 5)
S
R
P
V
What is the value of y?
Answer:
Multiply 5 5 by −4 - 4 . Multiply 2 2 by −5 - 5 . Multiply −5 - 5 by 5 5 . Subtract 10y 10 y from −20y - 20 y .
One leg of a right triangle has a measure of 19 units. The hypotenuse has a measure of 7085 square root units. Determine the length, in units, of the other leg. Show you work for partial credit
Answer:
The other leg is 82 units------------------------
Given:
a = 19,c = [tex]\sqrt{7085}[/tex],b = ?Find the missing leg, using Pythagorean:
a² + b² = c²19² + b² = 7085361 + b² = 7085b² = 7085 - 361b² = 6724b = [tex]\sqrt{6724}[/tex]b = 82Jerald is cycling for a race. He rides 3/4 of a mile in 1/20 of an hour. If he keeps going at this rate, how far would he ride in 2 hours?
If Jerald keeps going at this rate, the miles that he will ride in 2 hours is 30 miles.
How far would Jared ride in 2 hours?Rate demonstrates how many times one number can fit into another number. It should be noted that they contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
In this case, Jerald is cycling for a race and he rides 3/4 of a mile in 1/20 of an hour. The miles in an hour will be:
= 3/4 ÷ 1/20
= 3/4 × 20
= 15 miles..
The miles in 2 hours will be:
= 2 × 15
= 30 miles.
The miles is 30 miles.
Learn more about rate on:
brainly.com/question/25537936
#SPJ1
What is the equation of a line, in slope intercept form, that is perpendicular to y=-0.25x+1 and passes through (2,5)?
Answer:
Step-by-step explanation:
Gradient of a line that is perpendicular to another line is always the negative reciprocal.
So:
the gradient perpendicular to -0.25x is 4
to find the y-intercept (c), you need to substitute x and y into the equation:
5 = 2(4) + c
5 = 8 + c
c = -3
hence:
y = 4x -3
An animal kennel can hold twice as many cats as dogs, x. The kennel
holds at most 18 animals. Which inequality represents the maximum
number of dogs the kennel can hold?
A. 2x + x > 18
B. 2x – x > 18
C. 2x + x ≤ 18
D. 2x – x ≤ 18
Answer:
c
Step-by-step explanation:
A marina is in the shape of a coordinate grid. Boat A is docked at (3, −1) and Boat B is docked at (−4, −1). The boats are units apart.
Answer:
The distance between boat A and boat B will be 7.2 units apart.
What is the distance between two points?
It is the measure of distance between the two points and is known as length. The length is measured in meters generally. Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
A marina is looking like a direction framework. Boat An is moored at (3.1, −1) and Boat B is moored at (−4.1, −1).
Then the distance between the points (3.1, −1) and (−4.1, −1) will be given as,
D² = (-1 + 1)² + (3.1 + 4.1)²
D² = (7.2)²
D = 7.2 units
The distance between boat A and boat B will be 7.2 units apart.
Answer:
7 Units
Step-by-step explanation:
What are 4 pairs of congruent sides?
Rhombus is 4 pairs of congruent sides.
Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign ≅. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.
A rhombus is a parallelogram with four congruent sides.
All the characteristics of a parallelogram are present in a rhombus, plus the following: The diagonals intersect at right angles.
Square and rhombus are the only two quadrilateral shapes that consistently have four congruent sides. Note that congruent sides refer to sides that are of the same length. A quadrilateral having four equal sides and four equal angles is called a square (90 degrees). It combines a rhombus and a right-angled rectangle ( equal side ).
To know more about congruent sides.
https://brainly.com/question/16986516
#SPJ4
sarah cut a 21-foot long ribbon into four equal lengths. how many feet long was each length of ribbon
One endpoint on GH is G(–7, 24). The midpoint is M(3, 4). Find the coordinates of the endpoint H. ( , )
Please help find endpoint H
Answer:
H (13, -16)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}[/tex]
Given:
Endpoint (x₁, y₁) = G (-7, 24)Endpoint (x₂, y₂) = H Midpoint = M (3, 4)Substitute the given endpoint G and midpoint M into the midpoint formula:
[tex]\implies M=\left(\dfrac{x_H+x_G}{2},\dfrac{y_H+y_G}{2}\right)[/tex]
[tex]\implies (3, 4)=\left(\dfrac{x_H-7}{2},\dfrac{y_H+24}{2}\right)[/tex]
x-value of endpoint H:
[tex]\implies 3=\dfrac{x_H-7}{2}[/tex]
[tex]\implies 6=x_H-7[/tex]
[tex]\implies x_H=13[/tex]
y-value of endpoint H:
[tex]\implies 4=\dfrac{y_H+24}{2}[/tex]
[tex]\implies8=y_H+24[/tex]
[tex]\implies y_H=-16[/tex]
Therefore, the coordinates of endpoint H are:
(13, -16)Answer: 13 -16
Step-by-step explanation: Edge 2023
The Produce Place sells a 12-ounce package of cranberries
for the same unit price as the 8-ounce package. What is
the price of the 12-ounce package? Explain.
Answer: the price is 1,5 8-ounce price
Step-by-step explanation: The unitary price is the same, but the quantity is 12/8 = 1,5.
The 12-ounce price should be 1,5 more than the 8-ounce price.
Bo went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 50 grams of sugar and each bottle of juice has 25 grams of sugar. Bo purchased a total of 7 bottles of juice and soda which collectively contain 250 grams of sugar. Determine the number of bottles of soda purchased and the number of bottles of juice purchased.
Using a system of equations and solving them via simultaneous method, we determined that Bo bought 3 soda and 4 juice.
What is System of Equations?
A system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought the common solutions. A system of equations can be classified in a similar manner as single equations.
We can write out the equations and proceed to solve this problem.
Let;
x = soda
y = juice
x + y = 7 ...eq(i)
50x + 25y = 250 ...eq(ii)
Solving equation (i) and (ii)
The value of x and y are 3 and 4 respectively
To learn more on system of equations here;
brainly.com/question/13729904
#SPJ1
How do I write this in standard form? (give clear steps please!)
m=-4
(9,-10)
The linear function that has a slope of -4 and goes to point (9,-10) will be y = -4x - 50.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Suppose that the linear function is y = mx + c
As per the given, slope m = -4
Put (9,-10)
-10 = -4 x -10 + c
c = -50
Thus, y = -4x - 50
Hence "y = -4x - 50 is the equation for the linear function with a -4 slope that leads to point (9,-10) in the graph.".
For more about the linear function,
brainly.com/question/21107621
#SPJ1
Which phrase best describes the association between days absent and test score?
a
strong negative association
b
strong positive association
c
weak negative association
d
weak positive association
The association between days absent and test score is described by weak negative association.
What is Statistics?The discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to find the association between days absent and test score.
From the graph we know that the x axis is represented by the average number of days absent and y axis is represented by the Average test score.
The association is depended on the correlation.
The correlation will positive increasing when the values of x axis are increasing and the value of y is increasing.
In the given graph as the values are decreasing the x values are increasing.
Which means it is a negative association.
Hence, weak negative association is describes the association between days absent and test score.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ1