Answer:
y=6.25x+10
Step-by-step explanation:
6.25 is the rate of change so it is the slope. 10 is what you start with so it is the y- intercept
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]
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]
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
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
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
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:
which numbers are irrational
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
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
Answer this pls!!
-7k - 4k = 8 - 2k - 8k
Answer:
Step-by-step explanation:
Using the equation, first move all of the k to the left side, then, you'll get as what I write in the attachment, minus when move to the other side will be positive, and vice versa.
Solve for X Show and explain your work Please
x=8.385
Step-by-step explanation:
Angle EBD is a right angle since it's facing the diameter ED
Hence triangle BED is a right isosceles triangle since we also know that EB=BD
so A is the midpoint of ED since it's the center of the circle and ED is a diameter
which implies ED=2×AD=2×6=12
Using the Pythagorean theorem on a right isosceles triangle which states:
a²+b²=c²
x²+x²=12²
2x²=144
x²=72
x=√72=8.485
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.
100 points and brainlyest
Part 2 - Writing Equivalent Expressions - You will now use mathematical properties to create two expressions that are equivalent to Sara’s expression.
Property Used
Original/Changed Expression
New expression with property used
Commutative Property of Addition (rearrange the added terms in the parentheses to group like terms together.)
5(2j + 3 + j)
Combine Like terms after rearranging them
(put your answer from the previous row here)
Distributive Property of multiplication over addition (multiply the number outside the parentheses)
(put your answer from the previous row here)
(Use this final expression that you write in this box on the next slide.)
Answer:
Commutative Property of Addition: to change the order of numbers in an addition or multiplication operation does not change the sum or the product.
New expression with property used: 5(2j + j + 3)
Combine like terms: when combining like terms, add their coefficients
The like terms are 2j and j. Add their coefficients: 2 + 1 = 3, which means that the combination of like terms is 3j.
New expression with property used: 5(3j + 3)
Distributive Property of multiplication over addition: multiplying a sum by a number gives the same result as multiplying each added term by the number and then adding the products together.
So 5(3j + 3) = 5 · 3j + 5 · 3 = 15j + 15
New expression with property used: 15j + 15
do this for brainliest!!
Answer:
125 is the answer
Step-by-step explanation:
(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
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:
Tutorial
An isosceles triangle has an angle that measures 100°. What measures are possible for the
other two angles? Choose all that apply.
80 100 40 50
The only measure that is possible for the other two angles is 40 degrees.
What is triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
Let's call the two other angles in the isosceles triangle "x". We know that the sum of the three angles in a triangle is always 180 degrees. Therefore, we can set up an equation:
100 + x + x = 180
Simplifying this equation, we get:
2x + 100 = 180
Subtracting 100 from both sides, we get:
2x = 80
Dividing both sides by 2, we get:
x = 40
So the other two angles must both measure 40 degrees.
None of the other choices (80, 100, or 50 degrees) are possible for the other two angles in an isosceles triangle with one angle measuring 100 degrees.
Therefore, the only measure that is possible for the other two angles is 40 degrees.
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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
:)
find the circumference of a circle whose radius is 3 3/4 ft.
Applying the expression for the circumference of a circle we found the circumference to be 23.565 ft
Mensuration of flat shapesGiven Data
Radius = 3 3/4 ftLet us first convert to proper fraction
Radius = 15/4 ft
We know that the expression for the circumference of circle is given as
Circumference = 2πr
Substituting our given data for radius we have
Circumference = 2*3.142*15/4
Circumference = 94.26/4
Circumference = 23.565 ft
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The area of an isosceles triangular land whose base side length 10 meter is 60 square meter. Find the measure of its remaining sides.
Answer:
2√30m
Step-by-step explanation:
I hope it will be helpful to youWhat 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.
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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~
does anyone know the answer to this? i need it asap
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
Evaluate the expression :
( 4 \ \times \ 5 )^{2} \ - \ 6 \ + \ 3(4 × 5)
2
− 6 + 3 =
ANSWER
221
use a calculator
What is the constant of proportionality from the following equation: s = 0.75u
u
A
0.75
u
S
Answer:
0.75
Step-by-step explanation:
The equation representing direct proportion is
y = kx ← k is the constant of proportionality
s = 0.75u ← is in this form
with k = 0.75
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.
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:
Find the missing angle measures:
Answer:
B = 62°
W = 56°
X = 56°
Y = 62°
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.
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