Answer:
Since 2032 gt 1651, we divide 2032 by 1651 to get 1 as quotient and 381 as remainder. step 2. Since the remainder 381≠0 , we divide 1651 by 381 to get 4 as quotient and 127 as remainder.
Step-by-step explanation:
Euclid algorithm lemma, a = bq + r where 0 ≤ r < b
From Euclid algorithm lemma, 2032 = 1651 × 1 + 381
Using lemma for 1651 and 381, e.g., 1651 = 381 × 4 + 127
Similarly, use lemma for 381 and 127, e.g., 381 = 127 × 3 + 0
Hence, HCF = 127
Now, 127 = 1651M + 2032 N
⇒127 = (127 × 13)M + (127 × 16)M
⇒1 = 13M + 16 N
Here many solutions possible because we have one equation contains two variable.
Assume M = 5 and N = -4
Then, 13 × 5 + 16 × -4 = 65 – 64 = 1
So, HCF of 1651 and 2032 in the form of 1651M + 2032 N is [1651(5) + 2032(-4)]
need answers, please explain asap! need the answer for 2 and 3!
Volume of a cube formula: [tex]V=a^3[/tex]
Surface area of a cube formula: [tex]SA=6a^2[/tex]
[tex]a[/tex] is the side lengthArea of a TrapezoidArea of a trapezoid formula: [tex]A=\dfrac{1}{2}(a+b)h[/tex]
[tex]a[/tex] is the length of the top side[tex]b[/tex] is the length of the bottom side[tex]h[/tex] is the height (forms a right angle with the bottom of the trapezoid)Solving the QuestionQuestion 2We're given:
Volume of the cube = 343 cm³We must solve for the surface areaFirst, use the volume formula to solve for the side length:
[tex]V=a^3[/tex]
⇒ Plug in the known volume:
[tex]343=a^3\\\sqrt[3]{343}=\sqrt[3]{a^3}\\a=7[/tex]
Therefore, [tex]a=7[/tex].
Now, plug this value into the formula for surface area:
[tex]SA=6a^2\\SA=6(7)^2\\SA=294[/tex]
Therefore, the surface area of the cube is 294 cm².
Question 2We're given:
One can of paint covers 72 ft²[tex]a=14[/tex][tex]b=24[/tex][tex]h=16.5[/tex]For this question, we must solve for the area of the trapezoid, then divide its double by 72 to find how many cans of paint we need for two coats.
Solve for the area of the trapezoid:
[tex]A=\dfrac{1}{2}(a+b)h[/tex]
⇒ Plug in the given information:
[tex]A=\dfrac{1}{2}(14+24)(16.5)\\\\A=\dfrac{1}{2}(38)(16.5)\\\\A=(19)(16.5)\\A=313.5[/tex]
Therefore, the area of the trapezoid is 313.5 ft²
Multiply it by 2:
[tex]313.5*2\\=627[/tex]
Divide this by 72:
[tex]\dfrac{627}{72}\\\\=8.7[/tex]
Therefore, we need 9 cans of paint to paint two coats over the deck.
The sum of two numbers is 87. The difference of the same to numbers is negative 111. Find the numbers.
Answer:
99 and - 12
Step-by-step explanation:
let x and y be the 2 numbers, then
x + y = 87 → (1)
x - y = - 111 → (2)
Adding the 2 equations term by term eliminates the y- term
2x = - 24 ( divide both sides by 2 )
x = - 12
Substitute x = - 12 into (1)
- 12 + y = 87 ( add 12 to both sides )
y = 99
The 2 numbers are 99 and - 12
Which expression can represent 70% of x?
3 ( x Over 4 ) minus one-half ( x Over 10 )
3 ( x Over 4 ) minus ( x Over 10 )
(x Over 2) + (x Over 10)
( x Over 2 ) + one-half ( x Over 4 )
Answer:
its b
Step-by-step explanation:
cuz
ASAP!!!!!!!!! PLS!!!!!
Answer:
[tex]\huge\boxed{\text{6 by 10 inches}}[/tex]
Step-by-step explanation:
In order to solve for this, we can make two equations, where a is the length of the first side and b is the length of the second side.
[tex]ab=60[/tex] (Area)[tex]2a+2b=32[/tex] (Perimeter)We can now solve this systems of equations by using substitution.
Let's change the equation [tex]ab=60[/tex] into the form [tex]a= mb+c[/tex].
We can divide both sides by b.
[tex]a = \frac{60}{b}[/tex]
We can now plug [tex]\frac{60}{b}[/tex] in as a into [tex]2a+2b=32[/tex].
[tex]2(\frac{60}{b}) + 2b = 32[/tex]
Let's simplify this equation:
[tex]\frac{120}{b} + 2b = 32[/tex] [tex]2b^2 + 120 = 32b[/tex] [tex]2b^2 - 32b + 120 = 0[/tex] [tex]b^2 - 16b + 60 = 0[/tex] [tex]-10 \cdot -6 = 60\\-10 + -6 = -16[/tex] (Quadratic factoring, [tex]x_1 \cdot x_2=c, x_1 + x_2 = b[/tex]) [tex](b-10)(b+6)[/tex] [tex]b = 10\ \text{or}\ 6[/tex]Now, since we have both roots of this quadratic, we know that the two sides will be 10 and 6 inches long.
Hope this helped!
PLEASE HELP FOR BRAINLEST!!!!
Answer:
15 cm is the correct answer.
Answer:
x = 15 cm
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
help please asap so much appreciated
Charmaine watered 3 plants.
Every plant got
gallons of water.
How much water did she use in all?
Write your answer in simplest form.
Which of the following is a factor of 2x2-2
Answer:
2(x-1)
Step-by-step explanation:
Multiply 2 by the terms inside.
Answer:
this is both factors
2(x+1), (x−1)
Step-by-step explanation:
SHOW WORK AND I WILL GIVE BRAINIEST
Ethan is a 5 ft 4 inches tall. How tall is he in cm, if 1 in is about 2.54 cm?
Answer:
he is 162.56
Step-by-step explanation:
Answer:
162.56 cm
Step-by-step explanation:
Convert 5 ft 4 inches to inches (5 x 12) +4
Then convert to cm
64in 2.54cm
--------- x --------------- = 162.56cm
1 1 in
Cancel the term inches and multiply 64 by 2.54cm
Evaluate the expression :
( 4 \ \times \ 5 )^{2} \ - \ 6 \ + \ 3(4 × 5)
2
− 6 + 3 =
ANSWER
221
use a calculator
Peiling and John saved the same amount of money. After Peiling lent $28 to John, John had 5 times as much money as Peiling. How much did John have in the end?
Answer:
140$
Step-by-step explanation:
so if peilling lent 28$ and then john has 5x as much that means john had 4x as much before getting the 28$ which would mean that john had 112$ dollars so now with that knowledge just add the 28$ to get 140$ or just do 5 x 28 to get 140
Blake and Allie are keeping track of how many baskets they shoot each day. 1. In February, Blake shoots 350 baskets. 2. In February, Allie shoots 400 baskets. 3. In March, Blake plans to shoot 25 baskets a day. 4. In March, Allie plans to shoot 10 baskets a day. 1 point By the end of which date will Blake have shot more'total baskets than Allie? (Write out the whole month, don't abbreviate it. ) *
Answer:
Blake shoots 350 baskets. 2. In February, Allie shoots 400 baskets. 3. In March, Blake plans to shoot 25 baskets a day. 4.
10. Find the value of the function () = 15x2 - 4 if x = 6.
a. 180
116
b. 2/19
C.
d. 4
Answer:
your question is not clear
Step-by-step explanation:
because of option not correct arrange
Need help on this question ASAP pleasee and thank you!!
Answer:
Step-by-step explanation:
Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex].
Answer:
Step-by-step explanation:
3. Henry's banks said they will putin 20% interest annually if he keeps at least $5,000 in his savings account. How much money. in interest will the bank put in Henry's
All changes saved
account?
STO
$10,000
O $100
$1,000
Hey there!
Option answer: $1,000
Calculate the percentage
=> 5000 × 20/100
=> 5000/1 × 20/100
=> 50/1 × 20/1
=> 1000/1
=> 1000
Therefore, 20% of $5000 is $1000
For 30 points
The pattern 2, 5, 17, ________, ________ follows the rule multiply by 4, then subtract 3. What are the next two terms?
Answer:
the next two are 65, and 257
Answer:
65 and 257
Step-by-step explanation:
17x4=68 68-3=65. 65x4=260 260-3=257
Calculate.
(2017 x 0.2018 x 2018 x 20.18)/(20.17 x 201.8 x 2.018)
Answer is:
2018
Have a good day :D
does anyone know the answer to this? i need it asap
Write the equation of a line through point (-5,1) and perpendicular to 2x – 3y = 6?
Answer:
B. Slope = -5/4, no, not perpendicular
Step-by-step explanation:
Alice makes a scale drawing of her bedroom. She uses a scale of 3 cm to represent 5 m. What ratio is Alice using?
Answer:
[tex]\frac{3}{500}[/tex]
Step-by-step explanation:
1m is 100 cm, so we have [tex]\frac{3}{500}[/tex]
A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation y=−0.114x+1.658, where x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0.964.
Answer:
If you translate that in romanian i will do it.
The velocity of a major river at various depths has no relation.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We are given that;
Equation y=−0.114x+1.658
Now,
In this case, the equation y = -0.114x + 1.658 represents a linear relationship between x (depth) and y (velocity) of the river. The correlation coefficient is 0.964, which means there is a very strong positive correlation between these two variables. This means that as depth increases, velocity also tends to increase proportionally.
| x | y |
| 0 | 1.658 |
| 5 | 1.098 |
|10 | 0.538 |
|15 |-0.022 |
The calculator gives us a p-value of approximately 0.0002, which is much smaller than 0.05. This means that we can reject the null hypothesis that there is no correlation between depth and velocity of the river and conclude that there is a statistically significant positive correlation between them.
Therefore, by the given equation there will be no relation.
Learn more about linear equations;
https://brainly.com/question/10413253
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A line contains the points (-6, -4) and (0,4). What is the equation of this
line in slope-intercept form?
4
OA) y=3*+
x+4
(
4
OB) y=
3
ОВ)
X-4
OC) y=x-4
OD) y=x+4
As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2
A) [tex]y=\frac{4}{3}x+4[/tex]
Step-by-step explanation:Write the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
________________________________________________________
Substitute and calculate
[tex]Substitute:[/tex] [tex]x_1=-6\\ x_2=0\\ y_1=-4\\ y_2=4[/tex] [tex]into\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute
[tex]m=\frac{4-(-4)}{-(-6)}[/tex]
Determine the sign
[tex]m=\frac{4+4}{6}[/tex]
Calculate the sum or difference
[tex]m=\frac{8}{6}[/tex]
Cross out the common factor
[tex]m=\frac{4}{3}[/tex]
________________________________________________________
Substitute and calculate
[tex]Substitute[/tex] [tex]m=\frac{4}{3}\\ x=-6\\ y=-4[/tex] [tex]into\ y=mx+b[/tex]
Substitute
[tex]-4=\frac{4}{3}\times(-6)+b[/tex]
Reduce the expression to the lowest term
[tex]-4=-4\times2+b[/tex]
Calculate the product or quotient
[tex]-4=-8+b[/tex]
Rearrange variables to the left side of the equation
[tex]-b=-8+4[/tex]
Calculate the sum or difference
[tex]-b=-4[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]b=4[/tex]
________________________________________________________
Substitute
[tex]Substitute[/tex] [tex]y=\frac{4}{3}x+4\\ m=\frac{4}{3}[/tex] [tex]into\ y=mx+b:[/tex]
[tex]y=\frac{4}{3}x+4[/tex]
________________________________________________________
Rewrite the equation of the line
[tex]Rewrite\ y=\frac{4}{3}x+4\ in\ slope-intercept\ form:[/tex]
[tex]y=\frac{4x}{3}+4[/tex]
I hope this helps you
:)
A rectangle has a height 3 times the length of its base. If the base increases by 3 cm and the height by 5 cm then the area is 319 2. What are the dimensions of the rectangle?
Answer:
The length of a rectangle is 3 times the width.The area is 75 cm^2.
Find the missing angle measures:
Answer:
B = 62°
W = 56°
X = 56°
Y = 62°
What is the solution of the system of equations shown below?
y = -x + 3
y = 4x - 2
A. (0,3)
B. (1,2)
C. (2,1)
D. (0, -2)
Answer:
B. (1,2) is the answer to the question
Step-by-step explanation:
i juts take the quiz
~brainliest ??
The solution of the linear equations y = -x + 3 and y = 4x - 2 will be (1, 2). Then the correct option is B.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equations are given below.
y = -x + 3 ...1
y = 4x - 2 ...2
From equations 1 and 2, then we have
4x - 2 = - x + 3
4x + x = 2 + 3
5x = 5
x = 1
Then the value of 'y' is given as,
y = - 1 + 3
y = 2
The solution of the linear equations y = -x + 3 and y = 4x - 2 will be (1, 2). Then the correct option is B.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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A hotel has a rectangular-shaped meeting room that is 13.4 yds. wide and 15.1
yds. long. If carpet costs $1.71 per ft^2
, what would be the cost of carpeting the
meeting room?
A hotel has a rectangular shaped meeting room that is 13.4 yards wide and 15.1 yards long. If the carpenter cost $ 1.71 per feet² what would be the cost of carpenting the room ?
✯ Explanation -Given :
Length of the meeting room = 15.1 yardBreadth of the meeting room = 13.4 yardRate of carpenting per feet² = $ 1.71Need to find :
Cost of carpenting the room.Solution :
THIS QUESTION IS BASED ON MEANSURATION TO SOLVE THIS QUESTION FIRST WE WILL CALCULATE THE AREA OF THE MEETING ROOM AND THEN WE WILL CALCULATE THE COST OF CARPENTING THE MEETING ROOM.
Calculating the area of the meeting room
[tex] \star \: \large \boxed{\sf{ Area_{(rectangle)} = Length × Breadth }}[/tex]
[tex] \large\rm{ Area_{(rectangle)} = (15.1 × 13.4) yard² = 202.34 \: yards²}[/tex]
Area of the meeting room = 202.34 yard²
Calculating the cost of carpenting the meeting room
First we will convert yards into feet
We know,
1 yard = 3 feet
202.34 yard = 202.34 × 3 = 607.02 feet
Now calculating the cost of carpenting the meeting room
Rate of carpenting = $ 17.1 per feet²
Cost of carpenting = $ ( 17.1 × 607.02) = $10,380.04
Final Answer -
Cost of carpenting the meeting room = $10,380.04.[tex] \rule{180pt}{3pt}[/tex]
Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?
Answer:
Yes, AN time E equal to ABN if A=1, B=5, E=3 & N=0.
Step-by-step explanation:
Given;
Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?
A = 1
B = 5
E = 3
N = 0
Note;
0 multiply everything is 0.
Solve;
So If A=1, B=5, E = 3, N=0
AN times E = (1 x 0) x 3 = 0
ABN = (1 x 5 x 0) = 0
Therefore, the question would be true.
~Learn with Lenvy~
(Multiple Choice Worth 1 points) What should be added to -5 to make the sum 0?
Answer:
5
Step-by-step explanation:
-5+5=0
do this for brainliest!!
Answer:
125 is the answer
Step-by-step explanation:
if I had 9 bucks to spend on the book fair, how much money would I have if I bought 2 posters, a comic, and an Invisible ink pen? Would I have enough?
__________________
l poster: $2 l
l Comic: $3 l
l Invisible ink pen: $3 l
l_________________l
Your cafeteria line requires 8 minutes on the average for each customer to proceed through the line and pay the cashier. The average time space between each customer is 30 seconds. If the line is open for 1 1/2 hours for lunch, how many customers can you serve for lunch?
Answer:
You can serve 81 customers for lunch during the 11,5 hours opening.
Step-by-step explanation:
11,5 hours is 690 minutes.
Each customer takes 8,5 minutes (8 + 0,5)
690 / 8,5 = 81,17
As we can't serve "part" of customer:
81,17 ≈ 81 customers