Answer: 50089
Step-by-step explanation:
A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dimensions of the carpet by solving the equation 2w+2(w+90)=244, where w represents the carpet width.
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: [tex]Perimeter=2(length+width)[/tex]
Putting values and making equation:
[tex]244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16[/tex]
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Which relations are functions
Select function or not a function for each graph
PLS HELP
Answer:
The first and second one are functions, the rest are not
Step-by-step explanation:
Answer:
They actually can all be functions
find the slope of Y(-5,0) Z(-2,-4)
Answer:
m=-4/3
Step-by-step explanation:
y2-y1
x2-x1
x1=−5 ,
y1=0,
x2=−2,
y2=−4.
m=(−4)−(0)(−2)−(−5) =−4/3=−4/3.
In a painting, The Great Pyramid of Giza is 45 centimeters tall.
If the pyramid is actually 146.5 meters tall, find the scale.
Answer:
The scale is: 1 cm = 3.26 meter
Step-by-step explanation:
Given
Height of Pyramid in Painting = [tex]H_p = 45 cm[/tex]
Actual Height of Pyramid = [tex]H_a = 146.5m[/tex]
In order to find the scale, we can find the ratio between actual height and height in painting.
The ratio can be found by dividing the actual height by height in painting
[tex]Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm[/tex]
Rounding off to nearest hundredth
= 3.26
This means that the scale is:
1 cm = 3.26 meter
Not an emergency question, but it’s kinda important.
Which one is greater 4% or 0.001%
Answer:
4%
Step-by-step explanation:
dude if you got a whole number and a decimal, the whole number is going to be greater (as long as it isn't negative)
Im suppose to select the number line that goes with the inequalities.
Answer:
Number line C
Step-by-step explanation:
First, you isolate x. This gives you x>=3+4 or x>= 7. Next, you find a number line greater than or equal to which cancels out A and D. Now whichever line starts on 7, is the answer which is C
Answer:
C
Step-by-step explanation:
If you solve the equation your answer will be x≥7
This is a less than or equal to 7 so the point on the graph will be closed (or filled in) which means your closed point goes on 7 and goes down the line to the left because of the direction of the sign. (less than)
1. 2x+5(6x-9)=179
2. -40=6x-5(-4x-18)
solve for X
Answer:
1. x = 7
2. x = -5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0
Pull out like factors 6x - 9 = 3 • (2x - 3)
(2x + 15 • (2x - 3)) - 179 = 0
Pull out like factors: 32x - 224 = 32 • (x - 7)
Solve: x-7 = 0
Add 7 to both sides of the equation = 7
2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0
Pull out like factors: -4x - 18 = -2 • (2x + 9)
-40 - (6x - -10 • (2x + 9)) = 0
Pull out like factors: -26x - 130 = -26 • (x + 5)
-26 • (x + 5) = 0
Solve: x+5 = 0
Subtract 5 from both sides of the equation: x = -5
Hope this helps! Please mark as brainliest.
Thanks!
The following table provides information about the median income in four states in
2016. Virginia had an index of 127.2 that year. What was the median income in Virginia?
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE SHOW STEP BY STEP EXPLANATION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$68,213
Step-by-step explanation:
The median is the middle value number.
So you need median for Virginia.
First lets see how index and income are connected.
To do this divide the income by the index to see if you have a constant value you can use.
535.434783 = Arkansas
535.381944 = Alabama
535.58 = Arizona
535.669236 = Alaska
535 is constant in all of these.
Let's multiply the index by 535.
127.2*535 =68212.5
For median income, you need a whole number so lets round up.
68213
So Virginia would have a median income rate of $68,213
If you have anymore questions, don't be afraid to reach out and I hope that helps!
What’s the slope of the line that passes through (-9, -4) and (6, 15).
which expression represents 87 less than the product of 12 and 15
Answer:
I think answer is 87<180 or maybe 87<12*15
Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells each taco for $4 and each burrito for $6.50. Jocelyn must sell at least $780 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
We know that:
Price of a taco = $4
Price of a burrito = $6.50
x = number of tacos sold
y = number of burritos sold.
We must have that:
x + y ≤ 150 (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)
And also we know that she must sell at least $780, then:
x*$4 + y*$6.50 ≥ $780
Now we found the system of inequalities:
x + y ≤ 150
x*$4 + y*$6.50 ≥ $780
To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.
To graph them may be easier to write them as lines, you can do it as follows:
y ≤ 150 - x
y ≥ ($780 - x*$4)/$6.50
in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.
You can see the image below.
Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)
Then looking at the image, we can see that one solution can be the point
x = 20, y = 120
someone please help! i need this answer!
Answer:
C
Step-by-step explanation:
Answer:
(b)
Step-by-step explanation:
PLEASE HELP!!!!
Find the slope of a line that contains (18, -7) and (18, 2)
Please help!! Due really soon!
“Write a rule in function notation that fits the data”
I’ll mark you the brainliest! Please :)
9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
is y=5 a linear function.
Answer:
No, y=5 is NOT a linear function.
Step-by-step explanation:
In order for a linear function to be true, it need to include a slope-intercept. For example, a commonly used equation, y = mx+b y = m x + b, is an example of a linear function, since it meets both the variables of m and b and criteria of x and y. In this case, when drawing out y=5 on a graph, marking it down reveals no slope.
I hope this helped to answer your question.
We now know that y = 5 is not a linear function as it cannot be written as y = MX + b.
What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The formula y = MX + b can be used to represent any linear function, where m denotes the slope and b is the y-intercept (slope-intercept form). The alternative formula for a linear function is y - y₀ = m(x - x₀), where m denotes the slope and (x₀, y₀) the line's origin (point-slope form).As, in the description it is cleary said that linear functions can be represented in y = MX + b form, and y = 5 cannot be represented in the same form.
Therefore, y = 5 is not a linear function as it cannot be written as y = MX + b.
Know more about linear functions here:
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HELP PLEASE!!!
When a bush was first planted in a garden, it was 20cm tall. After two months, it was 700% as tall as when it was first planted. Use mental math to find how tall the bush was after the two months.
I need 2x+6 but when I solve it it’s wrong
Answer:
x=48
Step-by-step explanation:
2x+6=96
subtract 6 from both sides
2x=96
divide both sides by 2
x=48
xoxo, your highness...Answer:
x = 88
Step-by-step explanation:
In the equation, 4x + 5 = 21, what is the first step in the order of
operations, to solve for x? *
Answer:
The first step you would have to do would be get 4x by itself
Step-by-step explanation:
So it would be 4x +5 = 21
-5 and -5
So it would be 4x = 16
Find the solution of this system of equations
5x = -10 - 5y
5x + 10y = -25
Answer:
y=10
Step-by-step explanation:
HELP ASAP
Daniel works at a drive-thru restaurant. He has been keeping track of the number of vehicles that go through the drive-thru each hour in the table shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.
Table:
x f(x)
1 18
2 38
3 60
4 78
5 93
6 117
7 143
Which polynomial function best models the data?
A) f(x)=0.4048x^2+16.9762x+2.1429
B) f(x)=0.3611x^3−3.9286x^2+31.7817x−10.8571
C) f(x)=0.3611x^3−4.4048x^2+35.5913x−15.1429
D) f(x)=0.072x^4−0.7904x^3+2.2917x^2+18.8683x−2.7143
The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Daniel keeps track of the number of vehicles that go through the drive-thru each hour
Let the number of hours be x
Let the total number of vehicles that passes be y
Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }
The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }
Let the polynomial equation be represented as f ( x )
Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where
f ( x ) = 0.4048x² + 16.9762x + 2.1429
when x = 3
f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429
On simplifying , we get
f ( 1 ) = 3.6432 + 50.9286 + 2.1429
f ( 1 ) ≈ 60
Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429
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will mark brainliest. which is right? (a,b,c,d,e?)
Answer:
C
Step-by-step explanation:
Answer:
The answer is C.
Step-by-step explanation:
If we're talking about fractions, the smaller numbers are larger, why? I have no idea, but 1/8 is half of 1/4 making 1/4 larger. Now give me that brainliest buster.
what is 9 divided by 3 plus for times 6 plus 8
Answer: 50
Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50
Answer:
35
Step-by-step explanation:
9 ÷ 3 + 4 · 6 + 8
Do 9 ÷ 3 first
3
Plug this value back into the equation
3 + 4 · 6 + 8
Do 4 · 6 next
24
Plug this value back into the equation
3 + 24 + 8
Add 3 to 24
27
Plug this value back into the equation
27 + 8
Add
35
Hope this helps :)
Please consider Brainliest :)
Help I’ll give you 20 points!!!
Answer:
∠one and ∠seven
Step-by-step explanation:
7 students have 3 books each. Which helps you find the total
number of books?
A.
7-3
B.
7+3
C.
7 x3
D.
7 + 3
marlin is the first mate on a very successful fishing charter boat. last year marlin total income was $41,906. which equation could marlin use to determine the amount he made tips, t, he was paid $27 for every hour, h , he works
A. 27h - t =41906
B. 27h + t =41906
C. 41906h + 27 = t
D. 41906h - 20= t
please help !!
find the slope of the line through each pair of points ( -5, 10) , (-16, 8)
Answer:
-2/11
Step-by-step explanation:
y2-y1/x2-x1
8-10 / -5 -(-16)
-2/-5 + 16
-2/11
During a sale, a dress is marked down from a selling price of $ to a sale price of $44.20 What is the percent markdown?68
Answer:
35% is the answer 68-35%=44.2
Step-by-step explanation:
Help !!!! this due in 15 minutes!!
Answer:
See explanation
Step-by-step explanation:
for -2x+4=4 the slope is y=2x-4
for -3x+2y=6 the slope is y=3/2x+3
for -3x+2y=6 the y-intercept is y=3 or (0,3)
(you can plug into desmos to check :) )
PLEASE HELP FAST
Evaluate the expression |-5| + |9+3|
Answer:
if you want to simplify it, it would be -5 + 12
but if you want to finish the problem then the answer would be positive 7 or just 7
Step-by-step explanation:
What is the result when x^3-8x^2+19x-14x 3 −8x 2 +19x−14 is divided by x-2x−2? If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+ b(x) r(x) .
Answer:
The result when x^3-8x^2+19x-14 is divided by x^2-2x−2 is
[tex]x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex] .
Step-by-step explanation:
Seems the divisor in the question is x^2-2x−2. If so, the solution to the division is shown using the long division method in the attachment below.
The result is
[tex]\frac{x^{3}-8x^{2} +19x -14}{x^{2} -2x-2} = x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex]