We have to find the sum of (7x-6y) and (x+y)
(7x-6y) and (x+y) are two Algebraic expressions
Sum of two algebraic expressions is also a algebraic expression
So, (7x - 6y) + (x+y) = 7x - 6y + x + y
= 7x + x + y - 6y
= x (7 + 1) + y - 6y
= 8x + y - 6y
= 8x + y ( 1 - 6 )
= 8x + y ( -5 )
= 8x - 5y
Hope this helps..!!
Thank you :)
How can 2x2 = x2 + 4x + 8 be set up as a system of equations?
y = x2 - 4
y = x2 + 2x + 8
y = x2
y = x2 + 4x + 8
y = 2x2
y = x2 + 4x + 8
y = x2
y = 2x + 8
Does anyone know the Answer
Marybeth works from home as a graphic designer. Recently she raised her hourly rate by 3% to cover increased costs. Her new hourly rate is $22.87. Find Marybeth’s previous hourly rate
(x -1) = 26 = -4x
A. -7 5/7
B. 8
C. -7
D. -5
A Park has a pond shaped like a quadrilateral with all sides 18 feet long and at least one right angle. What geometric shape best describes the shape of the pond?
The pond is best described as a rectangle.
Explanation:The geometric shape that best describes the pond is a rectangle. A rectangle is a quadrilateral with four right angles. Since the pond has all sides of equal length and at least one right angle, it meets the criteria to be a rectangle.
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The geometric shape that best describes the shape of the pond is a square or a rectangle.
Given that the pond is shaped like a quadrilateral with all sides 18 feet long, we can immediately rule out shapes that do not have four equal sides, such as parallelograms, trapezoids, and kites. The fact that the pond has at least one right angle further narrows down the possibilities to shapes that have at least one 90-degree angle.
Since all sides are equal in length, and there is at least one right angle, the pond could either be a square (which has four right angles) or a rectangle (which has four right angles but does not necessarily have all sides equal). However, since it is specified that all sides are 18 feet long, the only quadrilateral that fits these criteria is a square.
The sum of 1 and x less less than 5.
The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units: V = 5s3 If s = 1.4 units, what is the value of V? 13.72 cubic units
19.21 cubic units
21 cubic units
25 cubic units
Answer:
Step-by-step explanation:
The answer is 13.72 because 1.4^3=2.744
and 2.744*5=13.72
The total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The equation V = 5s³ represents the total volume of 5 identical boxes
s represents the each side length
We have to find the total volume
The value of s is given as 1.4
Plug in s value in V formula
V=5(1.4)³
V=5×1.4×1.4×1.4
V=13.72 cubic units
Hence, the total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.
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Kendrick’s math quiz grades are 90, 100, 48, 88, 100, and 96. Find the MEAN of Kendrick’s scores. A) 48 B) 52 C) 87 D) 93
A prism is completely filled with 576 cubes that have edge length of ¼ in.
What is the volume of the prism?
Enter your answer in the box.
Answer:9
Step-by-step explanation:
after 1 year on the job, Grady got a raise from $10.50 per hour to $11.34 per hour. what was the percent increase in his hourly wage
Grady's payements or wages for hourly is increased by 8 percent.
What is percent?A Percentage or percent, a relative value indicating hundredth parts of any quantity.
How to caluclate increase in percent?To calcualte the increase in percentage first we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100.
According to the given question.
The intial payment for one hour was $10.50
And, after one hour the payment is $11.34
⇒ The increment in the payment = $11.34 - $10.50 = $0.84
Therefore,
the percent increase in Grady's hourly wage
[tex]= \frac{increment \ in \ the \ payement}{origibal \ paynent\ } \times 100[/tex]
[tex]= \frac{0.84}{10.50} \times 100[/tex]
[tex]= 0.08 \times 100[/tex]
[tex]= 8\%[/tex]
Hence, Grady's payements or wages for hourly is increased by 8 percent.
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please help fasti will mark brainliest
Please help! Im bad at math!!!!
The Transitive Property of Congruence states that if ∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT, then _____.
a.∠XYZ ≅ ∠ZYX
b.∠XYZ ≅ ∠WYT
c.∠AOB ≅ ∠XYZ
d.∠AOB ≅ ∠AOB
By Transitive property ∠XYZ = ∠WYT.
What is Transitive property?The word "transitive" refers to movement. The transitive property of equality is a property that applies when there are three quantities, a, b, and c, and if a is connected to b and b is related to c by the same rule, then a and c are related to each other by the same rule.
Let's think about the numbers a = b and b = c. Because equality has the symmetric characteristic, writing a = b is equivalent to writing b = a. It follows that b = a and b = c. A must equal c and b since the amount b cannot be equal to two separate quantities.
Given:
∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT
As per the Transitive Property
<X = <Y
and ∠Y = ∠X,
then ∠X = ∠Z.
Similarly,
∠XYZ = ∠AOB
and ∠AOB = ∠WYT,
then ∠XYZ = ∠WYT.
Hence, by Transitive property ∠XYZ = ∠WYT.
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The table shows the area of a square with the given side length.
A. Write an equation that could represent the function table.
Round each addend to the nearest tenth and find the sum.
2.08 + 1.772 + 9.125
12.8
12.9
13.0
13.1
Answer:
It's 13.0
Step-by-step explanation:
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
Answer:
Four songs
Step-by-step explanation:
1. Change into y-intercept form.
y = 3.25/1x + 18
y = 2.00/1x + 23
2. Graph them!!
the outcome is ( 4, 31 )
So 4 songs for $31.00
You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample? A) 4.75 Hours B) 5.05 Hours C) 5.25 Hours D) 5.45 Hours
STUDENT HOURS
KATY 5.5
MIKE 4.25
SAM 7.75
HOLLY 3.5
JAKE 6.25
You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample?
STUDENT HOURS
KATY 5.5
MIKE 4.25
SAM 7.75
HOLLY 3.5
JAKE 6.25
Mean=[tex] \frac{Sum Of Hours}{Number of Students} [/tex]
Sum Of Hours=5.5+4.25+7.75+3.5+6.25=27.25
Number of Students=5
mean=[tex] \frac{27.25}{5} [/tex]
On dividing, 27.25 by 5, we get, 5.45
So, Mean=5.45
Answer: Option (d) : Mean=5..45hours
By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its base are unchanged?
A. 1/16
B. 1/8
C. 4
D. 8
Rebecca is purchasing a house for $210,000, with a 15-year fixed-rate mortgage at 4.5% interest. She has made a 5% down payment. The house is valued at $198,000, and the local tax rate is 4.5%. Her homeowners insurance is $840 per year. What are her total monthly payments?
A. $2437.20
B. $2520.09
C. $2630.20
D. $2381.89
Answer:
D. 2381.89
Step-by-step explanation:
Answer:
D. 2381.89
Step-by-step explanation:
Toni and makayla are working on a craft project.Makayla has 3 yards of ribbon and Toni has 4yards of ribben.They cut all the ribbon into pieces that are 1/4 yard long.How many pieces of ribbon do they have?
Find 3mt(2m^2-3mt+r^2)
During a sale, a store manager reduces a sweater's price by 30%. After the sale, the manager increases the price by 30%. Are the prices before and after the sale equal?
HELP ME :) please .....
what is 10(x-2)+(6x-6)
Mr. and Mrs. Storey drove 3,200 miles in all during their vacation. Mr. Storey drove 3 times as much as Mrs. Storey. How many miles did Mr. Storey drive?
Please just put equation, this will be on my maths test and I want to understand not just get the answer.
Give two sets of potential sides for a triangle. One set of side lengths should be able to be used for a right triangle and the other set of side lengths should not be able to form a right triangle.
Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write to angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.
What is the equation of the translated function?
A. f(x) = (x – 1)2 – 5
B. f(x) = (x + 1)2 + 5
C. f(x) = (x – 5)2 – 1
D. f(x) = (x + 5)2 + 1
Yes the answer is B
The translated function is f(x) = (x - 1)² + 5.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The vertex of the original function = (0, 0)
The vertex of the translated function = (-1, 5)
Now,
f(x) → f(x + a) represents a horizontal translation of f(x)
If a > 0 then a shift to the right of a units
If a < 0 then a shift to the left of a units
Vertex = (-1, 5)
This means the translated graph has been shifted to 1 unit left.
So,
f(x) = (x - 1)²
Now,
f(x) → f(x) + c represents a vertical translation of f(x)
If c > 0 then a shift up of c units
If c < 0 then a shift down of c units
Vertex = (-1, 5)
This means,
The translated graph has been shifted 5 units up.
So,
f(x) = (x - 1)² + 5
Thus,
The translated function is
f(x) = (x - 1)² + 5
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Laticia randomly selected 25% of the seventh grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season?
A) 15
B) 75
C) 150
D) 200
The most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season is 75.
To predict the number of seventh-grade students in Laticia's school who would choose summer as their favorite season, we can use the fact that she surveyed 25% of the seventh-grade students and found that 51 of them chose summer.
First, we need to find out how many seventh-grade students there are in total. Since Laticia surveyed 25%, we can set up a proportion:
[tex]\[\frac{51}{25\%} = \frac{x}{100\%}\][/tex]
Solving for x, the total number of seventh-grade students, we get:
[tex]\[x = \frac{51 \times 100\%}{25\%} = 204\][/tex]
Now, since 51 students chose summer as their favorite season out of 204 seventh-grade students, to find out how many students might choose summer if all seventh-grade students were surveyed, we can set up another proportion:
[tex]\[\frac{51}{204} = \frac{y}{100\%}\][/tex]
Solving for y, the number of students who might choose summer if all seventh-grade students were surveyed:
[tex]\[y = \frac{51 \times 100\%}{204} = 25\%\][/tex]
This comes out to (y = 51), which means if all seventh-grade students were surveyed, we could reasonably predict that 51 of them would choose summer as their favorite season. Therefore, option B) 75 is the most reasonable prediction.
Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response. He answered 35 questions correctly and 15 questions incorrectly, so his total number of points was 35(2) + [-1/2(15)]. Which is another way to write Brett’s total number of points on the test?
Answer:
35(2) - 1/2(15)
Step-by-step explanation:
35(2) + [-1/2(15)] -----> 35(2) - 1/2(15)
take away the unnecessary extra brackets and replace the plus with a minus sign
hope this helps :)
Another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response.
From the data given in the question:
= 35(2) - 1/2(15)
= 35(2) + [-1/2(15)]
Another way to write Brett’s total number of points on the test:
= 35(2) - 1/2(15)
Thus, another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).
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0 is greater than or equal to 7n
Final answer:
To solve the inequality 0 is greater than or equal to 7n, divide both sides by 7 to get n ≤ 0. This implies n can be any number less than or equal to zero.
Explanation:
The question asks us to solve the inequality 0 is greater than or equal to 7n. This involves understanding inequalities and basic algebraic manipulation. To solve for n, we divide both sides of the inequality by 7, keeping in mind the rules regarding dividing by a positive or negative number. Since 7 is positive, the direction of the inequality remains the same. Thus, we get n ≤ 0.
This means that n can be any number less than or equal to zero for the inequality to be true. It's an important fundamental of algebra that assists in understanding how to work with inequalities and solve them correctly.