Answer:
[tex]Y=$24+0.09X[/tex]
Step-by-step explanation:
From the question we are told that
February Heat [tex]H_1=1900\textdegree[/tex]
February Gas [tex]G_1 =\$195[/tex]
April Heat [tex]H_2=600\textdegree[/tex]
April Gas [tex]G_2=\$78[/tex]
Generally equation for heating degree-days X is mathematically given by
[tex]X=\frac{\triangle gas\ bills}{\triangle Heating\ days}[/tex]
[tex]X=\frac{195-78}{1900-600}[/tex]
[tex]X=\$ 0.09[/tex]
Generally the equation for gas bill Y is mathematically represented by
[tex]Y=78-(600*0.09)\\Y=\$24[/tex]
The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is
[tex]Y=$24+0.09X[/tex]
A toy train set includes a train station building which is a scale model of a real building. The area of
the front side of the toy building is 1 square foot. The real building's front side has an area of 400
square feet. If we view the real building as a dilation of the toy, what is the scale factor?
Your answer
Answer:
[tex]20[/tex]
Step-by-step explanation:
The area of the front side of the toy model is [tex]1\ \text{ft}^2[/tex]
The area of the real building's front side is [tex]400\ \text{ft}^2[/tex]
So
[tex]1\ \text{ft}^2[/tex] of the toy model is equivalent to [tex]400\ \text{ft}^2[/tex] of the real building.
Area scale factor is given by [tex]k^2[/tex], where [tex]k[/tex] is the scale factor of the sides.
So,
[tex]\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20[/tex]
Hence, the scale factor is [tex]20[/tex].
The scale factor should be 20.
Important information:The area of the front side of the toy building is 1 square foot. The real building's front side has an area of 400 square feet.
Calculation of the scale factor:Since 1 square foot should be equal to 400 square feet
So,
[tex]400\div 1 = k^2[/tex]
[tex]K = \sqrt{400}[/tex]
k = 20
Learn more about the scale factor here: https://brainly.com/question/23908178
30% of 50. Find the percentage of the number.
Answer:
15
hope it's helpful ❤❤❤❤
THANK YOU.
Answer:
15
Step-by-step explanation:
30%x50÷100=15
△RST is shown below. XU = –2y + 15 and XW = 3y + 5.
PLEASE HELP ME
The required measure of the radius inscribed in the triangle RST is 11.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2
Now,
Radius = XU
= -2(2) + 15
= 11
Thus, the required measure of the radius inscribed in the triangle RST is 11.
Learn more about triangles here:
https://brainly.com/question/2773823
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a chicken eats 0.114 kg of grains per day. how much grain does the chicken eat in 31 days
Answer:
3.534kg
Step-by-step explanation:
0.114 × 31 = 3.534 kg
hope this helps...
At the grocery store,
Ben purchased $7.50
worth of groceries and
a 44 cent stamp If he
paid with two $5 bills,
how much change
should he receive?
Answer:
$2.06
Step-by-step explanation:
add 7.05 and 44 cents. he used 2 5 dollar bills, which is 10 dollars. 10-7.94 is 2.06.
Solve for x and y
Pls help I will give a brainliest to who gets it right
Answer:
Step-by-step explanation:
(6y-5)+(10y-41)+(12x+22)=180
16y+12x-24=180
16y+12x=204
y=12.75
x=17
Need help asap
Will mark you brainlist
Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.
Answer:
No I do not agree. -2 is closer to 0 than -5
Step-by-step explanation:
-5 -----------> -2---------> 0
Plz help I’m really confused
Answer: i think its 134
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form
Answer:
y=1+5
Step-by-step explanation:
b is the y intercept and 1 is the slope gradient
Alguien me ayuda porfiss
Answer:
Step-by-step explanation: a, c, and e
HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE
Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid
What is 33x44=? Give brainleist
1452 is 33x44’s sum
33
x 44
____
132
1320
1452
Answer:
1452
Step-by-step explanation:
33 * 44 = 1452
The area of a sign in the shape of a square is 219 square inches. Which measurement is closest to the side length of
this sign in inches?
55 in.
B
15 in.
7 in.
D 110 in.
Answer:
A
Step-by-step explanation:
The area of a square is given as the side² thus the side length of the given square will be around 15 inches thus option (B) will be correct.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Length of diagonal of square = √(2) × side
It is known that,
Area of square = Side²
Given, the area is 219 square inches.
Side² = 219
Side = √219 = 14.79 ≈ 15 in.
Hence "The area of a square is given as the side² thus the side length of the given square will be around 15 inches".
For more about a square,
https://brainly.com/question/2189895
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Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto
Answer: x boletos de adulto
2x boletos de estudiante
x+2x=288
3x=288
x=288/3
x=96
adulto =96
estudiante 2*96=192
96+192=288
Step-by-step explanation: 96 y 192
William fills 1/3 of a water bottle in 1/9 of a minute. How much time will it take him to fill the bottle
Answer:
3/9 = 1/3 of a minute or 20 seconds
Step-by-step explanation:
Answer:
1/3 of a minute
Step-by-step explanation:
1/3 x 3 = 1 bottle
1/9 x 3 = the time
1/9 x 3 = 3/9 or 1/3
A Traveler arrived at his final destination on February 11, 2021 at 2:30pm. The traveler departed 72 hours earlier traveling East from a time zone that is eight hours behind tha arrival time zone
On what day and at what time did the traveller depart?
9514 1404 393
Answer:
Feb 8, 2021, at 6:30 am
Step-by-step explanation:
The time of arrival, as seen from the point of departure, is 8 hours earlier than 2:30 pm, so is 14:30 -8:00 = 6:30 (am), on Feb 11. Three days (72 hours) before that time is ...
6:30 am on Feb 8, 2021
What is the decimal multiplier to decrease by 0.6%?
it is 0.10+1........
Answer:
0.6/100 = 0.006
Step-by-step explanation:
should be multiplied to decrease a number by 0.6%
whati is a quotient of (-1) (2) (-3) (4) and (-5) divided by 6?
Answer:
You should get -20
Step-by-step explanation:
;)
The total number of seashells a divided by 10
Answer:
Please give more info
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Factorise 8x + 12
Thankssssss
Answer:
4(3 + 2x)
Step-by-step explanation:
8x+12
Simplifying
8x + 12
Reorder the terms:
12 + 8x
Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 2x)
Final result:
4(3 + 2x)
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
b - 1/8= 3 1/2
what’s b equal
if time is 9:40, what time would it be in 3/4 hours
Answer:
10:25
Step-by-step explanation:
3/4 hours = 45 minutes
9:40 to 10:00 is 20 minutes
add another 25 minutes and you get 10:25
what is-56 divided by +7 ?
Answer:
-8
Step-by-step explanation:
Pls help me, i really need help!
Answer:
Step-by-step explanation:
a) c/8
b) 16+5p
c) (x+5)-5
Answer:
9. 80
Step-by-step explanation: ssssssse
Evaluate 3x2 – 3y3 when = 4 and y = 3
Answer:
24 - 27 (answer would be -3)
Step-by-step explanation:
A regular number cube is rolled. What is the probability that an odd number will not be rolled?
1/2,1/3,5/6,2/3,
Answer:
1/2
Step-by-step explanation:
A regular die has 3 odd numbers (1, 3, and 5) and 3 even numbers (2, 4, and 6). The question asks for the probability that an odd number will not be rolled. This is the same as asking the probability of an even number being rolled. Since we have 6 numbers in our data set and 3 are even, we can deduce that 1/2 of them are even and the probability of an even number being rolled is 1/2.
HTH :)
Answer:
the answer is 5/6
Step-by-step explanation:
A manufacturer of pickup trucks is required to recall all the trucks manufactured in a given year for the repair of possible defects in the steering column and defects in the brake linings. Dealers have been notified that 3% of the trucks have defective steering, and that 5% of the trucks have defective brake linings. If 94% of the trucks have neither defect, what percentage of the trucks have both defects
Answer: 2%
Step-by-step explanation:
Let A be the event of having defective steering and B be the vent of having defective brake linings.
Given: P(A) = 0.03 P(B) = 0.05
P(neither A nor B ) = 0.94
Using formula: P(either A nor B) = 1- P(neither A nor B )
= 1-0.94
i.e. P(either A nor B) =0.06
Using formula:P(A and B) = P(A)+P(B)-P(either A or B)
P(A and B) =0.03+0.05-0.06
= 0.02
Hence, the percentage of the trucks have both defects = 2%
Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?
Answer:
364
Step-by-step explanation:
265.72 ÷ 0.73 is 364
Check:
364 x 0.73
265.72