Answer:
Step-by-step explanation:
-12x+x+26+15-2-3=0
-11x+36=0
-11x=-36
x=36/11
or x=3.2̅7̅
Can someone please help me with this problem? I’m an 8th grader and this is algebra if you could help me at least set it up I can take over from there. Thank you sooo much!
Answer:
larger number=19
smaller number=7
Step-by-step explanation:
x=2y+5
x-y=12
(2y+5)-y=12
y+5=12
y=7
x=2(7)+5
x=14+5
x=19
Answer:
b=7,A=19
Step-by-step explanation:
A=2b+5
a-b=12
2) make both equations equal to 'a' by adding b on both sides so
a=2b+5,a=b+12
since both equations are equal to a, they are equal(is a=b then b=c property)
2b+5=b+12
this is a start, you can finish by combining the like terms and moving them to one side to get b=7 and a=19
HOPE THIS HELPS!!!
if p = the game system's original price in dollars, which algebraic expression represents the reduced price?
A. 99 + p
B. P - 99
c. 99 - p
d. 99p
Answer: The answer is B. p-99
Step-by-step explanation: The price goes first and then since it’s reducing you put minus 99 since it’s decreasing the price of the game system. Hope this was helpful y’all have a blessed day
Find the center and radius of the circle with the equation. Please show work!
Answer:
(1, -2)Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have:
[tex]x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)[/tex]
Which show ways to make 2,067?
2066+1-2000+67
Step-by-step explanation:
The number 2067 in words is represented as Two Thousand and Sixty-Seven. For instance, the cost of a study lamp is Rs. 2067, then you can say, “The cost of a study lamp is Rupees Two Thousand and Sixty-Seven”. 2067 is a cardinal number. It is easy to convert any number into words using a place value chart. Hence, it is essential to use a place value chart to represent numerical names. Here, we will learn how to convert 2067 into words
How do you find rate of change using a graph?
U find the rate of change by using the equation:
Y^2-y^1
————-
X^2-x^1
You can use the formula to find the rate of change:
Rate of change = (y₂ - y₁) / (x₂ - x₁)
To find the rate of change using a graph, you need to determine the slope of the graphed line or curve at a specific point. The slope represents the rate at which the dependent variable changes with respect to the independent variable.
Here's a step-by-step process to find the rate of change using a graph:
a) Identify two points on the graph that you want to calculate the rate of change between.
These points should have known coordinates (x₁, y₁) and (x₂, y₂).
b) Calculate the difference in the dependent variable (y) between the two points: Δy = y₂ - y₁.
c) Calculate the difference in the independent variable (x) between the two points: Δx = x₂ - x₁.
d) Divide the difference in the dependent variable by the difference in the independent variable: Δy/Δx.
e) The result of this calculation represents the average rate of change between the two points. If you want to find the instantaneous rate of change at a specific point, you can make the interval between the two points infinitesimally small by moving the points closer together. In this case, the rate of change will be represented by the slope of the tangent line to the graph at that point.
By following these steps, you can determine the rate of change at a particular point on a graph.
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Sally's soccer team won 68% of the games they played. if they won 17 games, how many did they play?
Answer:
25
Step-by-step explanation:
Divide 17 by 68%.
Hope that helps!
Step-by-step explanation:
Let's set up a proportion.
17/x=68/100.
Now if we solve for x it would equal to 25. They played 25 games.
Brainliest? :)
What is 25 multiplied by 3 as a numerical expression?
Final answer:
[tex]\[ 25 \times 3 = 75 \][/tex]
Explanation:
To express the multiplication of 25 and 3 as a numerical expression, we use the multiplication symbol "×" to indicate the operation. Therefore, the numerical expression for the product of 25 and 3 is [tex]\( 25 \times 3 \).[/tex]
To calculate this, we simply multiply 25 by 3:
[tex]\[ 25 \times 3 = 75 \][/tex]
So, the result of the numerical expression[tex]\( 25 \times 3 \)[/tex] is 75.
it takes 10 workers 5 days to complete a road repair when working 2 hours a day. working at the same pax’s how many days will it take 2 people working 5 hours a day to finish it?
It takes 10 workers 5 days to complete a road repair when working 2 hours a day.
So, this becomes : [tex]2*5*10=100[/tex] man hours required to finish the work.
Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d
So, total man hours = [tex]2*5*d=10d[/tex]
Now, [tex]10d=100[/tex] or [tex]d=10[/tex]
Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.
It will take 10 days for 2 people working 5 hours a day to finish the road repair.
Further Explanation:From the question;
10 workers can finish road repair in 5 days working 2 hours a day
We need to find;
The number of days required to complete the road repair by 2 workers working 5 hours a day.
Assuming the number of days required to complete the work is x
Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)
Number of working hours of 2 people is 5x hours (5 hours a day for x days)
Note that; the number of workers or people is inversely related to the number of working hours.
Therefore;
Product of number of people and working hours or work done is a constant
Thus;
10 × 10 = 2 × 5x
100 = 10 x
x = 10
Therefore;
2 workers working 5 hours a day will require 10 days to complete the road repair.
Keywords: rate of work, number of hours, number of days required to complete the job.
Learn more about;Rate of work: https://brainly.com/question/1144815Example of a similar question: https://brainly.com/question/12355798Level: Middle school
Subject: Mathematics
Topic: Rate of work
11
6.186 × 10 in standard form
11 is the exponent btw
Answer:
618 600 000 000
Step-by-step explanation:
To convert the scientific notation of a large number to a decimal number, move the decimal point as many places to the right as indicated by the exponent of 10.
Use zeros for placeholders as needed.
6.186 × 10¹¹ Move the decimal point eleven places to the right
6.186 × 10¹¹ = 618 600 000 000.
We had to insert eight zeros as placeholders.
6.186 × 10¹¹ = 618 600 000 000
katie bikes at an average speed of 12 mph.
which speeds are the same as katies average biking speed
choose all answers that are correct
63,360 ft/h
26,400 ft/min
0.2 mi/min
0.5 mi/day
12 mph = 12 miles / 1 hour
= 12 miles / 60 minutes
= 12/60 miles/minute
=1/5 miles / minute
=0.2 miles/ minute
so ans is option c
Answer:
A and C are your answers.
Step-by-step explanation:
A because there is 5,280 ft in a mile. and if you multiply that by 12 you will get 63,360. It is also C because in 60 minutes you will travel 12 miles if you are going 0.2 miles a minute. Hope this Helps!
What is the value of x in the simplest radical form?
Answer:
x = √(12² + 35²) = √(144 + 1,225) = √1,369
= 37
Substitution:
5x - y= -5
3x - 6y = 24
do u have to use the exact same number for all the substitutions?
The question involves solving a system of two linear equations, 5x - y = -5 and 3x - 6y = 24. By rearranging the first equation to find y in terms of x, and then substituting this into the second equation, we find x = -8/9. Substituting this value into y = 5x + 5, we find y = 5/9.
Explanation:The question involves a system of linear equations. You solve it using the substitution method. Here are the steps:
Rearrange the first equation, 5x - y = -5, to find y in terms of x: y = 5x + 5.Substitute y = 5x + 5 from the first equation into the second equation, 3x - 6y = 24, and solve for x. This gives: 3x - 6(5x + 5) = 24, which simplifies to -27x = 24, and further simplifies to x = -24/27 or x = -8/9.Substitute x = -8/9 into y = 5x + 5 to find the value of y. This gives y = 5*(-8/9) + 5 or y = -40/9 + 45/9, which simplifies to y = 5/9.So, the solution to the system of equations is x = -8/9 and y = 5/9.
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Help Please. This would be great the faster we can get it done.
Answer:
option D
0 < t < 3
Step-by-step explanation:
Given in the question the equation
d = 144 - 16t²
where d is the distance
t is the time
Since, it is a descent, d should be decreasing until it reaches zero
by plugging d = 0 in the equation
0 = 144 - 16t²
-144 = -16t²
144/16 = t²
t² = 9
take square root on both sides
√t² = √9
t = ±3
since time can't be negative so we will reject -3
t = 3
This means that at 3 seconds the roller coaster was at ground but before that it was in the air
so when t < 3 Greg's car was moving in the air.
A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?
Answer: 8 times
Step-by-step explanation:
By definition, the sum of the exterior angles of a polygon is 360 degrees.
Therefore, each exterior angle of the polygon is:
[tex]\frac{360\°}{n}[/tex]
Where n is the number of sides of the polygon.
The lengths of the sides of a regular octagon are equal and the measures of the internal angles are equal too.
The sum of the exterior angles of a polygon is 360 degrees and it has 8 sides, therefore, the measure of each exterior angle is:
[tex]=\frac{360\°}{8}=45\°[/tex]
You know that the regular octagon rotates 360° about its center.
Therefore, keeping all the above on mind, you have that the number of times (which you can call x) the image of the octagon coincide with the preimage during the rotation is:
[tex]x=\frac{360\°}{45\°}=8\ times[/tex]
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
Answer:
B (2,1)
Step-by-step explanation:
Answer: B. (2,1)
Step-by-step explanation:
The given system of equation :
[tex]y=2x-3...........................(1)\\\\y=-2x+5.............................(2)[/tex]
Adding equation (1) and (2), we get
[tex]2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1[/tex]
Substitute the value of y in the first equation , we get
[tex]1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2[/tex]
Therefore, the solution to the given system of equations = (2,1)
If z = 15 cm and x = 17 cm, what is the length of y?
Answer:
the length of y= 19 because in every letter you have been adding 2.
The correct answer is:
8 cm.
Wite an expression in simplest form to represent the area of the shaded region
Distribute the 4x to the 3x+2 to get 12x^2+8x
Multiply 2x and 3x to get 6x^2
then combine like terms to get your final answer of 6x^2+8x
The expression in simplest form which represent the area of the shaded region is,
[tex]6x^2+8x[/tex]
What is area of rectangle?Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, [tex]a[/tex]is the length rectangle and [tex]b[/tex] is the width of the rectangle.
Given information-
The length of the inner rectangle is 2x.
The width of the inner rectangle is 3x.
The length of the outer rectangle is 3x+2.
The width of the outer rectangle is 4x.
As the area of the rectangle is the product of the length of the rectangle and the width of the rectangle. Thus, the area of inner rectangle is,
[tex]A_i=2x\times3x\\A_i=6x^2[/tex]
The area of outer rectangle is,
[tex]A_o=4x\times(3x+2)\\A_o=12x^2+8x[/tex]
The area of the shaded region is the difference of area of outer rectangle and the area of inner rectangle. Thus the area of the shaded region is,
[tex]A=A_o-A_i[/tex]
Put the values as,
[tex]A=12x^2+8x-6x^2\\A=6x^2+8x[/tex]
Hence, The expression in simplest form which represent the area of the shaded region is,
[tex]6x^2+8x[/tex]
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If 3 is added to the absolute value of the product of a number and −9, the result is 4.
3+|n•-9|=4
|n•-9|=1
n•-9=1 Or n•-9= -1
n= -1/9 n=1/9
n=±1/9
Answer:
The value of x is ± (1/9).
Step-by-step explanation:
Consider the provided statement.
If 3 is added to the absolute value of the product of a number and −9,
Now convert this into mathematical form.
Let the number is x then the product of number and -9 is -9x.
For absolute value we use the mode. Thus the required expression is:
3 + |-9x|
Now it is given that the result is equal to 4. Thus,
3 + |-9x| = 4
Solve the above equation as shown:
|-9x| = 4-3
|-9x| = 1
Now remove the mode by introducing ± sign as shown:
-9x = ± 1
-9x = 1 or -9x = -1
x = -1/9 or x = 1/9
Hence, the value of x is ± (1/9).
Jamilla solved the inequality |x+b| 2 and graphed the solution as shown below.
Picture included
Answer: Option C
Step-by-step explanation:
The solution from the number line is (-∞,-3]∪[1,∞)
Given equation :
[tex]|x+b| ---2[/tex]
[tex](x+b) ----2[/tex] or
[tex]-(x+b)---2[/tex]
Putting b=1 and the inequality ≥ gives the required solution.
[tex]|x+1|\geq 2[/tex]
=> [tex](x+1)\geq 2[/tex] or [tex]-(x+1)\geq 2[/tex]
=> [tex]x\leq -3[/tex] or [tex]x\geq 1[/tex]
The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥
What is an inequality?An inequality is an expression that shows the non equal comparison between two or more variables and numbers.
From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3
Hence:
|x + b| ≥ 2
x + b ≥ 2 or -(x + b) ≥ 2
x ≥ 2 - b or x ≤ -2 - b
2 - b = 1 and -2 - b = -3
b = 1
Hence |x + 1| ≥ 2
The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥
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Help Evaluate. 7•(-7+15)
Answer:
56
Step-by-step explanation:
-7+15 is 8 cause it's negative 7 you have to tecnaclly subtract 7 from 15 then you would multply it by 7
Suppose Monica walks 1 km every 15 minutes how many meters further can she walk in one hour at this new Rate explain how you found your answer
Answer:
4 is your answer
Step-by-step explanation:
Well every 15 minutes he walks 1 step. So divide an hour which is 60minutes by 15 minutes. Then the answer to that you multiply by 1. So the equation would be (60/15)x1= and you will find the answer.
mark brainliest please :)
Answer:
4000 meters
Step-by-step explanation:
There are 60 minutes in an hour. Divide 60 by 14 and get 4. So she walks 4 km in an hour, but we want to know the answer in meters so we multiply 4 by 1000 to get 4000 meters.
HELP NOW!
Katie baked 215 cookies that she wants to divide equally among her 32 classmates. How many whole cookies will each student get, and how many will be leftover?
A) 5, r5
B) 6, r10
C) 6, r23
D) 7, r0
Answer:
Step-by-step explanation:either C or
B
Help Plz
You park in a garage 3 floors
below ground level. Then you get in the
elevator and go up 12 floors. Write an
addition expression to represent this
situation. Then find the sum.
Answer:
it's easy if you're 3 below ground level then it would be -3 and now you just add 12
Step-by-step explanation:
-3+12=9
Answer: The was 6.
Step-by-step explanation: I got the question wrong.
which equation can be simplified to find the inverse of y=2x-7 ?
A.
[tex]x = y {}^{2} - \frac{1}{7} [/tex]
B.
[tex] \frac{1}{x} = {y}^{2} - 7[/tex]
C.
[tex]x = {y}^{2} - 7[/tex]
D.
[tex] - x = {y}^{2} - 7[/tex]
y = 2x - 7
Inverse:
x = 2y - 7
x + 7 = 2y
(x + 7)/2 = y
Answer: y = x/2 + 7/2
Answer with explanation:
The given Linear equation is:
y=2 x -7
→2 x= y +7
[tex]x=\frac{y+7}{2}[/tex]
Replacing , x by ,y and y by x to get inverse of the given function
[tex]y=\frac{x+7}{2}[/tex]
2 y = x +7→→Inverse of the function, y= 2 x -7
→None of the Option Matches with the given options.
i need help with this
Answer:
All you have to do is look up the formulas for each one.
Step-by-step explanation:
Plug in the numbers to the correct formulas and you should get your answer.
See the attached figure for your solution
I need help please is this true or false ???
A number cube 1 through 6. Ian rows 600 * about how many times should he expect to roll an even number
What is an equation for the line that passes through (-2,-3) with a slope of -1/2?
A) 4y+2x=7
B) 4y-2x=-12
C) 4y+2x=-16
D) 5y-4x=12
Answer:
C
Step-by-step explanation:
To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).
[tex]y -y_1 = m(x-x_1)\\y --3=-\frac{1}{2}(x--2)\\y+3 = -\frac{1}{2}(x+2)[/tex]
Convert to standard form by applying the distributive property and rearranging the terms.
[tex]y + 3 = -\frac{1}{2}(x+2)\\y+3 = -\frac{1}{2}x -1\\2y + 6 = -x -2\\x+2y + 6 = -2\\x + 2y = -8[/tex]
The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16
Frank and 3 of his friends ate dinner at a restaurant. The bill came to $98.75 before tax. The tax rate is 6.5% and they decided to leave 20% tip. If they share the bill equally, how much will each person pay?
Answer:
Either $41.64 per person or $42.07, depending on if they tip pre or post sales tax.
Step-by-step explanation:
b=98.75
x=6.5/100=0.065
p=20/100=0.2
If tipping on taxed subtotal:
T=[(bx+b)p+(bx+b)]/3
T=[(98.75(0.065)+98.75)(0.2)+98.75(0.065)+98.75]/3
T=42.07 per person
If tipping on untaxed subtotal:
T=(bx+bp+b)/3
T=(98.75(0.065)+98.75(0.2)+98.75)/3
T=41.64 per person
Some sand art contains sand and water sealed in a glass case similar to the one shown. when the art is turned upside down. the sand and water fall to create a new picture. the glass case has a depth of 1 centimeter and a volume of 768 cubic centimeters.) A. write an equation that represents the volume of the glass case.) b. Find the dimensions of the glass by completing the square. ) please help me
x²-8x=768
x²-8x-768=0
(x-32)(x+24)=0
x=32 x=-24
you use 32 because it can be negative
plug in for x
(32)(32-8)(1)=768
32×24=768
this isn't the completing the square method though this is zero product law
a. Equation that represents the volume of the rectangular prism glass is: (x)(x - 8)(1) = 768
b. The dimensions are, length = 32 cm, width = 24 cm.
What is the Volume of a Rectangular prism?Volume = (l)(w)(h)
Given the following dimensions of the glass case:
l = x cmw = (x - 8) cmh = 1 cmVolume = 768 cm³a. Plug in the values into the volume formula to find the equation
(x)(x - 8)(1) = 768
x² - 8x - 768 = 0
b. Factorize x² - 8x - 768 = 0 to find the x, and find the dimensions of the rectangular prism glass
x² - 8x - 768 = 0
(x + 24)(x - 32) = 0
x= −24 or x = 32
The length cannot be a negative number, so:
Length of the glass = x = 32 cm
Width = x - 8 = 32 - 8 = 24 cm
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