The expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)
The greatest common factor is the greatest factor that divides both numbers.
The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation
Given,
75=3×5×5
45=3×3×5
The greatest common factor = 3×5=15
Then,
(75+45)=15(5+3)
Hence, the expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)
Learn more about Distributive property here
brainly.com/question/13130806
#SPJ4
Solve for the indicated variable
x=3y for y
Answer:
\(y = \frac{x}{3} \)
Step-by-step explanation:
divide both sides by 3 to get the answer
James, Priya, and Siobhan work in a grocery store. James makes $7.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less than Priya. How much does Siobhan make per hour?
The total amount with Siobhan is given by the equation S = $ 8.33
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount with Siobhan be represented as S
Let the amount with Priya be represented as P
Let the amount with James be J = $ 7.00
And , Priya makes 40% more than James
So , P = ( 40 / 100 ) x P + P
Substituting the values in the equation , we get
The amount with P = ( 0.40 ) ( 7 ) + 7
The amount with Priya P = 2.8 + 7
The amount with Priya P = $ 9.80
Now ,
Siobhan makes 15% less than Priya
So , the amount with Siobhan S = P - ( 15/100 )P
Substituting the values in the equation , we get
The amount with Siobhan S = 9.80 - ( 0.15 )( 9.80 )
On simplifying the equation , we get
The amount with Siobhan S = 9.80 - 1.47
The amount with Siobhan S = $ 8.33
Hence , the amount with Siobhan is $ 8.33
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Help me please ......
Answer:
The answer is F(x) = x
Answer:
the answer is A F(x) = x
Step-by-step explanation:
happy to help!!
FREE 85 IF U CAN AWNSER PLZZZZZZZZZZZZZZZZ ILY
Answer:
I dont get it tell me how you want me to answer it and i will edit the answer to try and help you out. But you shouldnt use that many points a lot of people would help you out for 5 because if you do that many people are going to use hem to there advantage so tell me what i can do to help you and i will see what i can do.
Step-by-step explanation:
Using the graph below solve the quadratic equation: x²+x-6- 0
Answer:
B. x = -3 or x = 2
Step-by-step explanation:
A set of n 25 pairs of scores (X and Y values) produces a regression equation of Y 3X 2. Find the predicted Y value for each of the following X scores: 0, 1, 3, 2.
The predicted Y values for the given X scores for the given regression equation are:
For X = 0, Y = 2
For X = 1, Y = 5
For X = 3, Y = 11
For X = 2, Y = 8
To find the predicted Y value for each of the given X scores using the regression equation Y = 3X + 2, we substitute the X values into the equation and solve for Y:
For X = 0:
Y = 3(0) + 2
Y = 2
For X = 1:
Y = 3(1) + 2
Y = 5
For X = 3:
Y = 3(3) + 2
Y = 11
For X = 2:
Y = 3(2) + 2
Y = 8
Therefore, the predicted Y values for X scores of 0, 1, 3, and 2 are 2, 5, 11, and 8 respectively.
To know more about regression equation refer here:
https://brainly.com/question/31969332#
#SPJ11
which of the choices represents the number of days a taxpayer is allowed to extend the time to petition the tax court?a. 10 days, plus any days the location was unavailable or inaccessible. b. 12 days, less any days the location was unavailable or inaccessible. c. 14 days, plus any days the location was unavailable or inaccessible.d. 21 days, less any days the location was unavailable or inaccessible.
The right response is 21 days, minus any days that the location was unavailable or inaccessible.
What is the time petition of the tax court?This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..
Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.
Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.
To know more about tax payer, visit:
https://brainly.com/question/16781281
#SPJ4
I need help with this please I don't understand my kids work
What is the result of adding these two equations?
2x + 3y = -5
5x - y = -12
The result of addition of the two equations 2x + 3y=-5 and 5x - y = -12 is 7x + 2y = -17.
We have to add the two equations 2x + 3y = -5 and 5x - y = -12.
In algebra, like terms can be added or subtracted. Two equations can be added by adding their L.H.S to L.H.S and R.H.S to R.H.S. (L.H.S is Left hand side and R.H.S is Right hand side)
Adding the two equations,
2x + 3y + 5x - y = (-5) + (-12)
2x+5x+3y-y= -5-12
7x + 2y = -17
Hence, by adding 2x + 3y = -5 and 5x - y = -12, we get 7x + 2y = -17.
To learn more about Addition of equation visit:
https://brainly.com/question/25976025
#SPJ9
Victoria has six sevenths of a pizza. She ate one fourth of it for dinner. How much pizza did Victoria eat for dinner
If Victoria has six sevenths of a pizza and she eats one fourth of it for dinner , then Victoria eat 3/14 of pizza for the dinner .
The Fraction of pizza that Victoria has = 6/7 of pizza ,
the fraction of pizza that Victoria eats in the dinner = 1/4 of pizza that she has ,
So , the amount of pizza that Victoria eats for the dinner can be calculated as = (1/4) × (6/7)
= 6/(4×7)
= 6/28
On simplifying the fraction ,
we get ,
= 3/14 .
Therefore , Victoria eats 3/14 of the pizza for the dinner .
Learn more about Fraction here
https://brainly.com/question/28729295
#SPJ4
Victoria ate one fourth, or 1/4, of the pizza for dinner. That is equation to 1/4 of 6/7 of a pizza, which is 3/14 of a pizza.
6/7 of a pizza
= 6/7 x 1
1/4 of 6/7 of a pizza
= 6/7 x 1/4
3/14 of a pizza
= 6/7 x 1/4
So, Victoria ate 3/14 of a pizza for dinner.
Victoria had six sevenths of a pizza, which is equivalent to 6/7 of a pizza. She ate one fourth, or 1/4, of it for dinner. To calculate how much pizza Victoria ate for dinner, we first need to convert 1/4 of 6/7 of a pizza into a fraction. We can do this by multiplying 6/7 and 1/4 together. The answer is 3/14 of a pizza. This means that Victoria ate 3/14 of a pizza for dinner.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Marvin has 2 rabbits. The number of rabbits triples every year. Marvin needs 100 pounds of food
to feed one rabbit per year. How many pounds of food will Marvin need to feed his rabbits during
the third year?
Answer:
1600 pounds
Step-by-step explanation:
if he has 2 rabbits and that triples to 9 because 2×3 for the first year then do that 2 more times for the next 2 years so 2×3×3
You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership. What is the one-time charge? What does it represent in slope-intercept form? What is the recurring charge? What does it represent in slope-intercept form?
The one-time charge for joining the gym was $40. This can be represented in slope-intercept form as y = $40, where y is the total cost of joining the gym.
The recurring charge for maintaining the membership is $20 per month. This can be represented in slope-intercept form as y = $20x, where y is the total cost of maintaining the membership and x is the number of months the membership is maintained.
In both cases, the slope represents the cost per unit (either a one-time charge or a recurring charge per month), and the y-intercept represents the total cost when the number of units is 0 (either the one-time charge for joining the gym or the cost of maintaining the membership for 0 months).
find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 4y + z = 24
Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.
To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.
First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:
6x + 4(0) + 0 = 24
6x = 24
x = 4
So, the plane intersects the x-axis at (4, 0, 0).
Similarly, to find the y-intercept, we set x = 0 and z = 0:
6(0) + 4y + 0 = 24
4y = 24
y = 6
So, the plane intersects the y-axis at (0, 6, 0).
To find the z-intercept, we set x = 0 and y = 0:
6(0) + 4(0) + z = 24
z = 24
So, the plane intersects the z-axis at (0, 0, 24).
We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).
To find the volume of this tetrahedron, we can use the formula:
Volume = (1/3) * base area * height
The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.
The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.
Plugging these values into the volume formula:
Volume = (1/3) * 12 * 24
= 96 cubic units
To know more about volume of the solid,
https://brainly.com/question/30079268
#SPJ11
a couple has two children. one is a son. what is the probability that the other child is a daughter?
Answer:
1/2 it’s like flipping a coin it can either come up heads or tails.
Step-by-step explanation:
The probability that the other child is a daughter is 1/2 or 50%.
The gender of each child is independent, and there are two equally likely outcomes for each child (male or female). Therefore, the probability of having a son is 1/2 and the probability of having a daughter is also 1/2. Since one child is already known to be a son, that does not affect the probability of the other child being a daughter. Thus, the probability of having a daughter as the other child is also 1/2 or 50%.
Therefore, the answer to the question is that the probability that the other child is a daughter is 1/2 or 50%
To learn more about probability here:
brainly.com/question/30034780#
#SPJ11
find the exact value of cos-1 (sqrt 3/2)
The exact value of cos^-1( √3/2) = 30°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°
sin30 = 1/2
cos 30 = √3/2
tan 30 = 1/√3
cos 60 = 1/2
sin 60 = √3/2
tan 60 = √3
Therefore, if cos^-1( √3/2) = x
cos x = √3/2
cos 30 = √3/2
cos x = cos 30
therefore x = 30
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
for h(x) = 4x-1, find h(0) and h(2)
Answer:
- 1 and 7
Step-by-step explanation:
to find h(0) substitute x = 0 into h(x)
h(0) = 4(0) - 1 = 0 - 1 = - 1
to find h2) substitute x = 2 into h(x)
h(2) = 4(2) - 1 = 8 - 1 = 7
If ce and fh are parallel line and mhgd = 118 what is mCDG
Answer:
<CDG = 118 degrees
Step-by-step explanation:
Alternate interior angles are congruent.
The product of two numbers is negative. Which statement is true? Select all that apply.
A The quotient of the two numbers is positive.
B The quotient of the two numbers is negative.
C No conclusion can be drawn about the quotient.
D The signs of both numbers are negative.
E The sign of one number is positive and the sign of the other is negative.
F Neither number is equal to zero.
The product of two numbers is negative. Which statement is true
B and E
How does the law of signs for multiplication work?
For division and multiplication: Positive results are obtained if the symptoms are same. If the signs disagree, the outcome is adverse.
Detailed explanation:
Let a and b be two separate numbers. A and B together have a negative product. The reason why the product of a and b is negative, according to the law of signs for multiplication, is because a and b have distinct signs—one is positive and the other is negative.
which claim is accurate?
A. The two numbers' quotient is a positive number. NO.
B. The two numbers' quotient is negative. YES. The quotient of two numbers with different signs is negative in accordance with the law of signs for division.
C. The quotient cannot be used to infer any conclusions. NO.
D. Both numbers have negative signs. NO.
E. One number has a positive sign, whereas the other has a negative sign. YES.
Learn more about law of signs for multiplication
https://brainly.com/question/550188
#SPJ1
To find y multiply x by 2 and then add 4
The equation for y will be represented as y=2x+4. So, we will put the value of the x for getting the value of y.
Given: The question is providing us with that for getting y we have to multiply x by 2 and then add 4.
To find: The different values of y.
Solution: As it is given that y=2x+4
So, Now we will put numbers in the place of x;
for x=1, we get; y = 2x1 + 4 = 2+4 = 6
Now, for x=2, we get; y = 2x2 + 4 = 4 + 4 = 8
Now, for x=3, we get; y = 2x3 + 4 = 6 + 4 = 10
And so on..it will continue. From this, we get to know that the value of y is 6,8,10,12,14, and so on when the value of x is 1,2,3,4,5, and so on respectively.
Solving an equation using a variable consists of determining which values of the variable make the equation true. The variables for which the equation needs to be solved are also called unknowns, and the unknown values that satisfy the equation are called the solution of the equation.
To learn more about the equation, refer to:
https://brainly.com/question/17145398
a pair of shoes on sale for $76.50 after a 15% discount was applied. What was the original price of the shoes?
The original price of the shoes would be = $102
How to calculate the original price of the pair of shoes?The sale price of the pair of shoes after discount = $76.50
The percentage discount of the shoes = 15% of original price
Therefore original price = X
But $76.50 = 75% of an unknown number.(that is 100-15 = 75%)
Let the unknown number = X
76.50 = 0.75x
X = 76.50/0.75
= $102
Learn more about percentage here:
https://brainly.com/question/24339661
#SPJ1
Use the figure to complete the proportion.
Answer:
BE / AB = HE / AH
Step-by-step explanation:
AE is angle bisector
BE / HE = AB / AH
BE / AB = HE / AH
Given the following coordinates complete the glide reflection transformation.
hopefully this answer can help you to answer the next question.
Which points are coplanar?
Answer: ABFE or ABJCDI
Step-by-step explanation: Any points that are in the same plane or face of a 3D figure
Two numbers have a highest common
factor of 5 and a lowest common
multiple of 210.
What could the numbers be? Give as many
possible answers as you can think of.
Answer:
i dont know right now about this question answer
The possible answers could be (5, 210), (10, 105), (15, 70), (25, 42), (30, 35) .
What are LCM and HCF?The LCM of two or more numbers is the least common multiple of them.
The HCF of two or than two given numbers are the highest number that divides them completely.
We know LCM{a, b}× HCF{a, b} = a×b.
Given, Two numbers have a highest common factor of 5 and a lowest common multiple of 210.
∴ 210×5 = ab.
ab = 1050.
Now, The numbers could be (5, 210), (10, 105), (15, 70), (25, 42), (30, 35) and
In the opposite form.
learn more about HCF and LCM here :
https://brainly.com/question/17437347
#SPJ2
Factor the expression 28x + 49
Answer:
7(4x+7)
Step-by-step explanation:
28x+49
Rewriting
4*7*x + 7*7
Factor out a 7
7(4x+7)
Answer:
7(4x+7)
Step-by-step explanation:
Just divide both numbers by the common factor,7.
Which postulate proves the two
triangles are congruent?
A. HL
B. AAS
C. SAS
D. none
Answer:
B
Step-by-step explanation:
AAS
the polygons in each pair are similiar. help find the missing side length???
Answer:
\(x=12\)
Step-by-step explanation:
Since the polygons are similar, we can use the formula: \(\frac{x}{15}=\frac{32}{40}\). Using cross-multiplication , we obtain: \(40x=15*32\\x=\frac{15*32}{40}= 12\).
i need help with this please
Answer:
n= -1.2
Step-by-step explanation:
I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.
Solve the math problem
Answer:
-2/3
Step-by-step explanation:
Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation: