Answer: The integers are 23, 25, and 27
Step-by-step explanation:
Call the first integer n, and then the next two odd ones are n + 2 and n + 4.
Add them together to get 75:
n + n+ 2 + n + 4 = 75
which becomes 3n + 6 = 75
so 3n = 69, and n is therefore 23. n + 2 = 25, and n + 4 = 27.
The three consecutive odd integers whose sum is 75 are 23, 25, and 27. These are determined by forming an equation with the first odd integer as 'x' and the other two as 'x+2' and 'x+4', respectively, since consecutive odd numbers differ by 2.
The task is to find three consecutive odd integers whose sum is 75. To solve this, we can represent the three consecutive odd integers as x, x + 2, and x + 4. Since the sum of these integers is 75, we can set up the following equation: x + (x + 2) + (x + 4) = 75.
Simplifying the equation we get:
3x + 6 = 75
3x = 69
x = 23
Now we have our first integer x = 23. The next consecutive odd integer would be x + 2 which is 25, and the third one would be x + 4 which is 27. Therefore, the three consecutive odd integers that sum up to 75 are 23, 25, and 27.
A pie is cut into 9 equal pieces. If all but 3 pieces are eaten, how of the pie remains?
Answer:
1/3 or 3
Step-by-step explanation:
9-6 = 3
Answer:
Step-by-step explanation:
Simplify 4+(-3)-2x(-6)
Answer:
1+12x
Step-by-step explanation:
First remove the parentheses
4-3-2x✖️(-6)
two negatives make a positive so multiply them
4-3+2x✖️6
Now calculate the product
4-3+12x
Subtract 4-3
1+12x
Then you are left with your answer:
1+12x
Hope this helps! :3
Harry's uncle gave him $62 to spend on basketball equipment. He bought 2 jerseys that cost $4 each, a basketball that cost $19, and a pair of shorts that cost $5. How much money does Harry have left?
Final answer:
Harry spent a total of $32 on basketball equipment, and since he started with $62, he has $30 left.
Explanation:
To calculate how much money Harry has left after purchasing basketball equipment, we need to add up the total cost of the items he bought and subtract that from the amount of money he was initially given. Harry bought 2 jerseys at $4 each, 1 basketball at $19, and a pair of shorts at $5.
Cost of 2 jerseys: 2 × $4 = $8
Cost of basketball: $19
Cost of shorts: $5
Now, we'll sum up the costs of these items to find the total expenses.
Total expenses = $8 + $19 + $5 = $32
Next, we'll find out how much money Harry has left after these purchases:
Money left = Initial amount - Total expenses
Money left = $62 - $32 = $30
So, Harry has $30 left after buying the basketball equipment.
How many times can 20 go into 16
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is that 20 goes into 16 1.25 times.
Explanation: You can use a calculator, and you just divide 20 by 16. Or, you can divide 20 and 16 both by 4. since you are dividing by four, and there are 5 fours in 20, you could know that 5*0.25 is 1.25, which is the answer. The fraction form is 1 1/4.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
20 cannot go into 16 a whole number of times, but in terms of decimal division, 20 goes into 16 exactly 0.8 times.
The question asks how many times 20 can go into 16. In mathematical terms, this is asking for the result of dividing 16 by 20. Since 20 is larger than 16, 20 cannot go into 16 a whole number of times. However, if we are considering division in terms of fractions or decimals, 20 goes into 16 exactly 0.8 times because 16 divided by 20 equals 0.8.
Please Help, thank you!
Which list is in order from largest to smallest?
A.
0.6 × 10-4 , 1.1 × 10-3 , 1.1 × 10-4
B.
1.1 × 10-3 , 1.1 × 10-4 , 0.6 × 10-4
C.
1.1 × 10-3 , 0.6 × 10-4 , 1.1 × 10-4
D.
0.6 × 10-4 , 1.1 × 10-4 , 1.1 × 10-3
A= 3.6, 7.7, 6.6
B= 7.7, 6.6, 3.6
C= 7.7, 3.6, 6.6
D= 3.6, 6.6, 7.7
.•. B is the answer
*if not done by BODMAS
A= 2, 8, 7
B= 8, 7, 2
C= 8, 2, 7
D= 2, 7, 8
.•. B is the answer
*if done by BODMAS
hope it helps you mate thanks for the question and if possible please mark it as brainliest
A system of 3 linear equations in 3 variables is consistent and independent. How many solutions to the system exist
Answer:
One solution
Step-by-step explanation:
By definition:
A system of linear equations is classified according to the number of solutions such as:
* Consistent: If the system has at least one solution.
* Inconsistent: If the system has no solution
Then, the systems of consistent linear equations are classified as:
* Independent: If the system has only one solution
* Dependents: If the system has endless solutions.
Thus. A consistent and independent system of equations has only one solution
Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x + 1, y - 1) A) N'(0, -2), F'(4, 2), Q'(4, -2) B) N'(-1, 1), F'(3, -3), Q'(3, 1) C) N'(0, -1), F'(4, 3), Q'(4, -1) D) N'(0, -5), F'(4, -1), Q'(4, -5)
Answer:a
Step-by-step explanation:
The coordinate of the vertices after transformation N'= (0, -2), F'= (4, 2), and Q'= (4, -2) option (A) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The coordinates are:
N(-1,-1), F(3,3), Q(3,-1).
Transformation rule:
(x,y) → (x+1, y-1)
N'= (0,-2)
F'= (4,2)
Q'= (4,'2)
Thus, the coordinate of the vertices after transformation N'= (0, -2), F'= (4, 2), and Q'= (4, -2) option (A) is correct.
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A sports bag has 40 golf balls. Some are yellow and some are white.There are 7 white golf balls for every yellow golf ball. How many white golf balls are there in the bag.
Answer:
35 white balls.
Step-by-step explanation:
you need to multiply 7 * some constant c and do the same to 1. The total has to come out to 40
7*c + c = 40 Combine the terms on the left.
8c = 40 Divide by 8
8c/8 = 40/8
c = 5
So the balls are in the ratio of
5*7 + 5 = 40
A quadratic function has these characteristics:
x = 1 is the equation for the axis of symmetry.
x = –1 is an x-intercept.
y = –4 is the minimum value.
Determine the y-intercept of this parabola.
Explain your thought process.
Answer:
The y-intercept would be between 0 and -4 likely about -3.
Step-by-step explanation:
The y-intercept would be between 0 and -4 likely about -3.
Since the parabola has an axis of symmetry at x = 1 and a minimum of y = -4 then the vertex is (1,-4).
It has an x-intercept at x = -1 or (-1,0). This means from the vertex up to the x-intercept the function has to cross through the y-axis. This makes the y-intercept between 0 and -4 and likely at -3.
The y-intercept of the quadratic function given above is found to be at y = -3. This conclusion is reached by analyzing the vertex, its symmetry, and x-intercepts of the function, and applying these properties in the standard form of a quadratic function.
Explanation:The subject of this question is the properties of a quadratic function in mathematics. The given characteristics provide us with enough information to determine the y-intercept of the function. Let's analyze the information.
Since the axis of symmetry is 'x = 1', we know that the vertex of the parabola is at (1, y). Also, because it has a minimum value of 'y = -4', we know the y-coordinate of the vertex is -4. Therefore, the vertex of the parabola is at (1, -4).
An x-intercept at 'x = -1' means that (-1, 0) is a point on the parabola. From the nature of the symmetry of parabolas, we know that if there is a point (a, 0) on the parabola, there will also be a point on the other side of the axis of symmetry at (2h-a, 0), where 'h' is the x-coordinate of the vertex. So, we can calculate the other x-intercept as (2*1 - (-1), 0), which gives us (3, 0). Thus, a point on the parabola is also (3, 0).
Equipped with the vertex (1, -4) and a point on the parabola (3,0), we can use the form of a quadratic function y = a(x-h)² + k to determine the quadratic function. Substituting coordinates of the vertex into the formula for h and k, and the coordinates of the point into the formula for x and y, we get 0 = a(3-1)² + (-4). From that, we can solve for 'a', which equals 1.
So, our quadratic function is y = (x-1)² - 4. To find the y-intercept (the point where the function crosses the y-axis, where x=0), we substitute x=0 into our function, which yields y = (0-1)² - 4 = -3.
The y-intercept of the parabola is at y = -3.
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{-3 - y = -12
{ x - 3y = 14
Answer:
y = 15
x = 59
Step-by-step explanation:
move the -3 over to the -12 side. then divide by -1 on both sides getting:
{ y = 15
{ x- 3y = 14
change the y in the second equation to get:
x - 3 (15) = 14
x - 45 = 14
+45 = +45
x = 59
hope this helps!!
A student wants to reduce the size of a photograph that is 12 inches wide. She selects 75% on the photocopy machine. What will be the width of the copy?
Answer:
9 inches
Step-by-step explanation:
The length and width of the photograph will become 75% of the original dimensions. The original width is 12 inches. The reduced with is 75% of 12 inches. To find a percent of a number, multiply the percent by the number. Change the percent to a decimal by dividing the percent by 100, which means move the decimal of the percent two places to the left.
75% of 12 inches =
= 0.75 * 12 inches
= 9 inches
Answer: 9 inches
Step-by-step explanation:
75% of 12
75%=0.75
0.75 x 12= 9
9 inches
Selina is playing a game that uses the spinner below.
A) what are the odds in favour of her spinning a 7?
B) What are the odds in favour of her spinning an even number?
C) What are the odds in favour of her spinning a prime number?
Answer:
A) 12.5%
B) 50%
C) 50%
Step-by-step explanation:
For A, 7 is one of the 8 possibilities (1/8). 1/8 of 100 is 12.5, so your chance of spinning a 7 is 12.5%
For B, even numbers are 4/8 or 1/2 of your options. 1/2 of 100 is 50, so your chance of spinning an even number is 50%
For C, there are 4 out of 8 numbers that are prime (2,3,5, & 7).
4/8 or 1/2 of 100 is 50, so your chance of spinning a prime number is 50%
hope this helps
Can you guys please help me out
a. term
because signing a policy would mean signing a term agreement paper..
hope this helps!!
What’s 5.5454 rounded to 2 decimal place
Answer:
The answer is 5.55
Step-by-step explanation:
To round 5.5454 to 2 decimal places, you look at the third and fourth decimal places. Since the digit in the fourth decimal place is 5 or greater, you round up the digit in the third decimal place, resulting in 5.55.
Explanation:To round 5.5454 to 2 decimal places, we look at the digit in the third decimal place (5) and the digit in the fourth decimal place (4). Since the digit in the fourth decimal place is 5 or greater, we round up the digit in the third decimal place.
The rounded value will be 5.55.
Therefore, 5.5454 rounded to 2 decimal places is 5.55.
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Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She
remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?
Answer:
$14
Step-by-step explanation:
Sony paid for two scarves = $ 25
We are given that one scarf cost $3 more than the other
Let the cost of one scarf be x
So, cost of another scarf = x+3
Since the total cost is $25
So, [tex]x+x+3=25[/tex]
[tex]2x+3=25[/tex]
[tex]2x=22[/tex]
[tex]x=\frac{22}{2}[/tex]
[tex]x=11[/tex]
So, cost of one scarf = $11
Cost of another scarf = x+3=11+3=14
Hence the cost of the expensive scarf is $14
There are 20 tables in the cafeteria. 1/5 of them are rectangle shaped. How many tables are rectangle shaped?
4 because 4x5=20 and 20 divided by 5 is 4
Answer:
4
20 ÷1/5= 4
So four tables
If Mike has m pencils and Jen has 3 more pencils than Mike, how many pencils do they have together?
Answer:
you have to find out what Mike has the multiple its by 3 ofc so let's say Mike had 4 they would have 12 together
What is the angles listed from descending order?
Answer:
RQ, RP, PQ
Step-by-step explanation:
The side opposite the largest angle is the largest side
Angle P at 105 is the largest angle so RQ is the largest side
Next largest angle is Q at 75, so RP is opposite it
The smallest angle is R, so the smallest side is opposite it, which is PQ
From largest to smallest
RQ, RP, PQ
Answer:
The correct answer is option 2
RQ > PQ > RP
Step-by-step explanation:
From the figure we can see that, a triangle PQR.
Three angles are given.
The angles are, <P = 105°, <R = 40° and <Q = 35°
To find the order of sides
We know that, the side opposite to the largest angle is the largest side, So we can write the three sides are in ascending order,
RQ > PQ > RP
Therefore the correct answer is option 2
Find the totals of the two animals people owned most. What is the sum of these two categories?
A) 17
B) 18
C) 19
D) 20
The answer is 19, C, because the 2 biggest are cat & dog, the dog is 8 and the cat is 11, 11+8=19.
Leon is helping his baby sister Daphne eat her dinner. There are 121212 peas left in Daphne's bowl and 777 peas squished in her hair.
What is the ratio of peas in Daphne's bowl to peas in her hair?
Answer:
777:121212 is peas in her hair to peas left in her hair.
Answer:
12:7
Step-by-step explanation:
i had it on khan academy
Solve the system of linear equations.
x-y=5
-x+y=5
Is the answer H, I, J, or K
H. infinitely many I. no solution J. (0,5) K. (5,0)
Answer:
I would be our answer.
Step-by-step explanation:
So we need to solve both.
x-y=5 = 5.
And we also need to solve -x+y=5.
Let's regroup them.
[tex]y-x=5[/tex]
Now we needt to subtract y from both sides.
[tex]-x = 5 -y[/tex]
Now let's multiply both sides by -1.
[tex]x = -5 + y[/tex]
Then we finally get
x = y - 5
Our final answer is I, there is no solution for this problem. Yes, they both equal 5 but do not fit any of the answers.
Thanks for using Brainly, have an amazing day.
Algebra nation section 2
Algebra Nation is an online educational platform that provides comprehensive resources and tutorials for learning algebra. Section 2 of Algebra Nation likely covers specific algebraic topics or concepts, such as equations, functions, expressions, or algebraic operations.
In this section, students may explore various algebraic principles and problem-solving techniques. Algebra Nation aims to make algebra more accessible and understandable for students, offering instructional videos, practice exercises, and opportunities for students to engage with algebraic concepts.
It's designed to support both teachers and students in their algebra education, fostering a deeper understanding of this critical branch of mathematics and helping students build a strong foundation for future mathematical endeavors.
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This question is not complete, Here I am attaching the complete question:
What key concepts or topics are covered in Algebra Nation Section 2, and how do these concepts relate to solving algebraic equations?
20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)
Answer:
The correct answer is C) 10z(x − 2y)
Step-by-step explanation:
To find this, we look for the greatest common factor of those two numbers. Each can be divided by 10 and each have a z. So we divide each term by 10z and put that on the outside of the parenthesis.
Hassan bought 2 video games for $5 and 3 video games for $7.50. Write and solve an equation to find the cost of 15 video games.
Answer:
hi how are u
Step-by-step explanation:
The side of a square measures 3mn2. What is the area of the square if m = 4 and n = -2?
The area of the square is 2304 square units.
How to calculate the area of the square from theinformation mentioned in the question ?Given the side of the square measures [tex]3mn^{2}[/tex]
We have to find the area of the square when m = 4 and n = -2
Putting the value of m and n in the expression to get the value of side of the square -
Side = [tex]3mn^{2}[/tex] = [tex]3*4*(-2)^{2}[/tex] = [tex]48[/tex]
Thus the length side of the square is 48 units.
As the square has all of its 4 sides equal, thus the area of the square is = side*side .
∴ Area of the given square = side*side = 48*48 = 2304 square units.
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0.9, 82 hundredths,5tenths least to greatest
5 tenths, 82 hundredths, 0.9
Answer:
5 tenths, 82 hundredths, 0.9
Step-by-step explanation:
Let's convert these all to a decimal...
5 tenths = 5/10 which is 0.5
82 hundreths = 82/100 which is 0.82
0.9 = 0.9
Now you can order them can't you?
0.5, 0.82, 0.9
“The height of an arrow” NEED HELP WITH THIS QUESTION ASAP!
Answer:
a) t = 0.54 seconds
b) t = 8 seconds
Step-by-step explanation:
Given in the question the equation
h = 40t - 5t²
where h is height in meters
t is time in seconds
Time it took to reach 20 meters
20 = 40t - 5t²
-5t² + 40t - 20 = 0
by using quadratic formula for factorisation
t = (-b± √(b)² - 4(a)(c) ) / 2(a)t = 0.54 (upward motion)
or
t = 7.46 (downward motion)
b) Time it took to reach the ground
at ground h = 0
So,
0 = 40t - 5t²
t(40 - 5t ) = 0
t = 0 (at starting point)
or
40 -5t = 0
5t = 40
t = 40 /5
t = 8 seconds
Plz help!!!!!!!!!!!!!!!
Answer:
B. 86.7 cm²Step-by-step explanation:
We have the square and four triangles.
The formula of an area of a squre:
[tex]A_s=a^2[/tex]
We have a = 5.1 cm. Substitute:
[tex]A_s=(5.1)^2=26.01\ cm^2[/tex]
The formula of an area of a triangle:
[tex]A_t=\dfrac{ah}{2}[/tex]
We have a = 5.1 cm and h = 5.95 cm. Substitute:
[tex]A_t=\dfrac{(5.1)(5.95)}{2}=\dfrac{30.345}{2}=15.1725\ cm^2[/tex]
The Surface Area of the pyramid:
[tex]S.A.=A_s+4A_t[/tex]
Substitute:
[tex]S.A.=26.01+4(15.1725)=26.01+60.69=86.7\ cm^2[/tex]
Karim builds a wooden table.
Two arcades charge an entrance fee and a fee per game. At Arcade A, the total cosi y (in dollars) of playing 2 games is represented
by the linear function y=0.75.2 + 2. The table shows the total cost for playing I games at Arcade B. Determine which arcade is
described by each phrase below.
Number of Games,
0
4
8
12
Total Cost (dollars), y
8
10
12
14
Arcade A
Arcade B
higher fee per game
higher entrance fee
higher total cost for 8 games
Answer:
Part a) Higher fee per game Arcade A
Part b) Higher entrance fee Arcade B
Part c) Higher total cost for 8 games Arcade B
Step-by-step explanation:
Let
x------> the number of games
Arcade A
we have that the linear equation is
[tex]y=0.75x+2[/tex]
The fee per game is $0.75
The entrance fee is $2
The cost for 8 games is equal to
[tex]y=0.75(8)+2=\$8[/tex]
Arcade B
Find the linear equation
Let
[tex]A(0,8),B(4,10)[/tex]
Find the slope of the line (fee per game)
[tex]m=\frac{10-8}{4-0}=0.50[/tex]
The point A is the y-intercept
The linear equation is
[tex]y=0.50x+8[/tex]
so
The fee per game is $0.50
The entrance fee is $8
The cost for 8 games is equal to
[tex]y=0.50(8)+8=\$12[/tex]
therefore
Part a) Higher fee per game Arcade A
Part b) Higher entrance fee Arcade B
Part c) Higher total cost for 8 games Arcade B