Answer:
504
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
The square root of 1764 (or root 1764), is the number which when multipiled by itself give the product as 1764. Therefore the square root of 1764 = √ 1764 = 42.
A line passes through (2, −1) with slope 3. What is the equation of the line in point-slope form?
Hint :- The point slope form of the line is [tex] m(x-x_1) = y - y_1[/tex] , where [tex](x_1,x_2)[/tex] is the point and [tex] m [/tex] is the slope of the line .
Solution :- The given point is [tex](2,-1)[/tex] and the slope is 3 . On using the point slope form of the line, we have ;
[tex]\implies m(x-x_1)=y-y_1[/tex]
Substitute ,
[tex]\implies 3(x -2) = y -(-1) [/tex]
Simplify ,
[tex]\implies 3x -6=y+1 [/tex]
Add -1 and -y to the both sides ,
[tex]\implies \boxed{3x -y -7=0 }[/tex]
A group of 20 friends are going to travel to a school reunion together, 7 of them can drive. They have a 7 seat car (1 driver and 6 passengers), a 5 seat car (1 driver and 4 passengers) and the remaining 8 will take a bus. How many ways can the friends travel (ignoring passenger seat positions within each vehicle)? Give an exact answer, do not round. Do not include commas or dots in your answer.
Using the combination formula, it is found that there are 99768240 ways in which they can travel.
The passenger seat positions are not important, which means that the order is not important, which is why the combination formula is used.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
In the first car, 7 of the 20 friends are going to sit.In the second, 5 of the remaining 13 are going to sit.In the bus, the remaining 8.The, the number of ways is given by:
[tex]N = C_{20,7}C_{13,5}C_{8,8}[/tex]
[tex]N = \frac{20!}{7!13!} \times \frac{13!}{5!8!} \times \frac{8!}{0!8!} = 99768240[/tex]
There are 99768240 ways in which they can travel.
A similar problem is given at https://brainly.com/question/24437717
given a∥b and m∠ 8=121° . What is m∠ 5 ?
Answer:
75.625
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
Jack works eight hours a day he is paid €6.50 per hour. He saves half of his pay how many days will he have to work to save €780?
Answer:
[tex] \frac{8x \times 6.5}{2} = 780[/tex]
[tex]8x \times 6.5 = 780 \times 2 \\ 8x \times 6.5 = 1560 \\ 52x = 1560 \\ x = 15[/tex]
que es un prisma rectangular y que es un prisma triangular??Plisa es para ahorita en una hora
Answer:
un prisma rectangular es una forma 3D con 6 caras rectangulares listo
Which set of numbers can represent the side lengths, in ce
O 8, 12, 15
O 10, 24, 26
O 12, 20, 25
15, 18, 20
What’s the answer
Answer:
23 cuz it's like a parten
please show working, please!
Answer:
84
Step-by-step explanation:
7/10 of them likes math and there are 240 student in total
240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls
then there are 84 girls that likes math.
A line passes through the points (-5, 2) and (10.-1). Which is the equation of the line?
Answer:
y= -1/5x + 1
Step-by-step explanation:
When looking for a line between two points, you want to use the following formula: (y2-y1)/(x2-x1) which finds your distance between points for the y and x coordinate to solve for your slope. y1 is the y coordinate from the first given point and x1 is the x coordinate from the first given point as well. this would go the same for x2 and y2 for the second given equation.
Next, we plug in our values so that we get (-1-2)/(10-(-5)). This will then lead us with -3/15 which simplifies to -1/5. This is our slope. Now that we have our slope we can rule out every option except the first for the answer. However, if we want to look for the entire answer we need to plug in one of our given values in the formula we have: y=-1/5x.
So to find the y-intercept, we can plug in any of the given coordinates so we can fo (10,-1) so that -1=-1/5(10)+b (b what added because we are putting the equation in slope-intercept, therefore we need to find the value b.) So we are left with -1=-2+b now we want to isolate b by adding 2 on both sides to cancel -2 and get 1=b. This would leave us with the equation y=-1/5x+1.
How many solutions does it have?
6x-3y=-18
-2+4y=18
Answer:
a) 8x-6y=9 b)4y-9y=9 c)3x+6y=15 d)10x-y=23
a) 12x-9y=6 b) 6x-5y=8 c)-9x-18y=-45 d)5x-2y=-46
Step-by-step explanation
Barry opens a savings account after seeing the ad. He deposits $1,300.
Determine an equation that relates the amount of time t in years that Barry holds his account to the amount of interest I that he earns.
Enter the correct answer in the box.
The question is an illustration of simple interest.
The equation that relates Barry's savings after t years is; [tex]f(t)=1300 + 28.6t[/tex]
The given parameters are:
[tex]P = 1300[/tex] --- the amount deposited
[tex]r = 2.2\%[/tex] --- annual interest
So, the interest is calculated using:
[tex]I = PRT[/tex]
This gives
[tex]I = 1300 \times 2.2\% \times t[/tex]
[tex]I = 28.6 \times t[/tex]
[tex]I = 28.6t[/tex]
So, the equation that relates Barry's savings after t years is;
[tex]f(t)=P + I[/tex] --- i.e. the amount deposited plus the interest
This gives
[tex]f(t)=1300 + 28.6t[/tex]
Hence, the required equation is: [tex]f(t)=1300 + 28.6t[/tex]
Read more about simple interest at:
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I'm stuck on this question for math in middle school, so I can't help
What is 2.16666666667 as a fraction?
(or what is 13/3 divided by -2/1 as a fraction)
Will give 5 stars brainlist whatever pls help!!
(13/3) / (-2/1) = (13/3) / (-2) = - 13 / (3 • 2) = -13/6
21.6666666667 can be expressed as the fraction 21 2/3 or 65/3.
13/3 divided by -2/1 is equal to -13/6.
Given that we need to convert 21.6666666667 can be expressed as the fraction and 13/3 divided by -2/1 as a fraction.
To convert the decimal number 2.16666666667 to a fraction, we can multiply both the numerator and denominator by a power of 10 to eliminate the decimal point.
Since there is only one digit after the decimal point, we can multiply by 10.
2.16666666667 x 10 = 21.666666667
Now we have the number 21.666666667 as a whole number. Since there are three repeating digits (6), we can represent them as a fraction over 9 (since 9 is the largest power of 10 that is one less than the number of repeating digits).
21.666666667 = 21 + 0.666666667
= 21 + 6/9
Simplifying the fraction 6/9, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
6/9 = (6 ÷ 3) / (9 ÷ 3)
= 2/3
Therefore, 2.16666666667 can be expressed as the fraction 21 2/3 or 65/3.
For the division problem (13/3) ÷ (-2/1), we can convert it into a multiplication problem by multiplying the first fraction by the reciprocal of the second fraction.
(13/3) ÷ (-2/1) = (13/3) x (1/-2)
Multiplying the numerators and denominators, we get:
(13 x 1) / (3 x -2) = 13 / -6
Therefore, 13/3 divided by -2/1 is equal to -13/6.
Learn more about Division and Multiplication click;
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What are the answers to these three questions ?
Which is the correct first line for dividing the function f(x)= x^3-12x+16 by (x-2) using synthetic division
Answer:
C
Step-by-step explanation:
look at the image and answer please .
Answer:
(-2, 0)
Step-by-step explanation:
NO BOTS! PLEASE HELP!
Solve the inequality -5/2 (3x-2)<6-2x. For full credit, you will need to show and explain every step. You may add more lines if you need them
Answer: Answer: x> -2/11
Step-by-step explanation: Multiply both sides of the inequality by the least common denominator: 2 (-5/2(3x-2))<2x6-2x2x
Reduce the expression to the lowest term: -5(3x-2)<2 x 6-2 x 2x
Apply Multiplicative Distribution Law: -15x + 10< 2 x 6 -2 x 2x
Multiply the monomials:-15x + 10< 2 x 6 - 4x
Calculate the product or quotient: -15x + 10<12-4x
Rearrange unknown terms to the left side of the equation: -15x + 4x< 12 - 10
Combine like terms: -11x < 12 - 10
Calculate the sum or difference: -11x<2
Divide both sides of the inequality by the coefficient of variable: x > 2 ÷(-11)
Rewrite as fraction: x> 2/-11
Rewrite the fraction: x> -2/11
Answer: x> -2/11
The solution to the inequality is x>-2/11.
The given inequality is -5/2 (3x-2)<6-2x
We need to simplify the given inequality step by step.
How to solve inequality?To solve an inequality, isolate the variable on one side with all other constants on the other side. To accomplish this, perform opposite operations to manipulate the inequality. First, isolate the x by multiplying each side by two. Whatever you do to one side you must also do to the other side.
Now, multiply both sides of the inequality by 2.
That is, -5(3x-2)<2(6-2x)
=-15x+10<12-4x
Add both sides of the inequality by 4x.
That is, -15x+10+4x<12-4x+4x
=-11x+10<12
Subtract 10 on both sides of the inequality.
That is, -11x+10-10<12-10
-11x<2
Divide both sides of the inequality by -11.
x>-2/11
Therefore, the solution to the inequality is x>-2/11.
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What is the rate of change for the equation y = 2x + 100?
+
The rate of change is
h
Answer:
Rate of change = 2
Step-by-step explanation:
The rate of change is equivalent to the slope of the line !
A line is written:
y=mx+b
"m" is the slope, and "b" is the y-intercept !
The line you gave was "y=2x+100"
The slope, or "m," in your equation, would be 2 !
I need help pls and thx
Answer: 21√10
Step-by-step explanation:
Answer:
Answer: 21√10
Or Decimal: 66.41
Which expression can be used to find the surface area of the following square pyramid?
Answer:
A = L + B = a2 + a√(a2 + 4h2))
Step-by-step explanation:
Enrique wants a skateboard that cost $68.00. The sales-tax rate in his city is 612% . What is the total cost of the skateboard?
[tex]\large \boldsymbol {100\%=1} \\\\ \boldsymbol {612\%=6,12} \\\\ \rm Total \ \ cost :\\\\ \$68=6,12\cdot 68=\boxed { \$416,16}[/tex]
The difference of the number g and 8 is at least twice the sum of a number y and 4.
Answer:
g - 8 <= 2(y+4)
Step-by-step explanation:
PLS HELP ME ASAP
WILL MARK BRAINLIEST
Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of the ham per pound?
$5.74
Answer:
$6.99
Step-by-step explanation:
add the number of pounds to gwet the total number of pounds
4.3+1.7=6
divide
41.94/6
$6.99 per pound
Hope this helps!
I will brainlist who can answer this 5 Questions!
A b c Choices!
1. a
2. a
3. c
4. a
5. d
For slope-intercept form, solve the equation for y.
For standard form, solve the equation for the constant and keep x and y on the same side.
Ex) 3x - 2y = -3
-2y = -3x - 3
y = -3x/-2 - 3/-2
y=3x/2 + 3/2
NEED HELP ASAP!!
What is the measure of the angle
Hey! The measure of the angle is 127
The angle is a total of 180 degrees.
We have to find the total of what's in between the two blue lines.
To make it easier, we can take the total of what's not in the blue lines, 53, and subtract it from 180. This gives us 127. So in between both the blue lines, measures 127. Or, you can just count up from 53 to 180 individually.
there are 100 total seats in a theater. Of these seats, 16 are broken. What percent of the seats are NOT broken?
84% of the seats in the theater are not broken.
Answer:
84%
Step-by-step explanation:
Imani family drinks a total of 8 gallons of milk every 5 weeks how many gallons does the family drink per week plz help
Answer:
1.6 gallons every week
Step-by-step explanation:
ratio of milk to weeks is 8:5
to get milk/week, divide by 5 to get:
1.6:1
which means they drink 1.6 gallons per week
Scarlett stopped at a campground along the Appalachian trail. The campground had a 1 2 acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent. Which expression would give you the size of Scarlett’s campsite? Check all that apply.
Answer:
A and D 1/2 divided by 6 and 6/12 divided by 6
Step-by-step explanation:
I just took the assignment
The metric system is based on multiples of 100. Please select the best answer from the choices provided A.True B.False
Answer:
true
Step-by-step explanation:
i think
How are SSS and SAS similarity theorems different from one another? *
Answer:
when two triangles are said to be similar by SSS theorem, these 2 triangles not only have 3similar sides, but also the same 3 angles. on the other hand if they're said to be similar SAS theorem, it's highly unlikely they will have all three same Angles.
hope this helped
Which is the correct answer for question 16 and question 17
Answer:
16=c
17=d
Step-by-step explanation: