Given:
The parking space shown at the right has an area of 209 ft².
A custom truck has rectangular dimensions of 13.5 ft by 8.5 ft.
To find:
Whether the truck fit in the parking space or not?
Solution:
If the area of the truck is more than the area of the parking space, then the truck cannot fit in the parking space otherwise it will fit in the parking space.
The area of a rectangle is:
[tex]Area=length\times width[/tex]
Area of the rectangular truck is:
[tex]Area=13.5\times 8.5[/tex]
[tex]Area=114.75[/tex]
The area of the truck is 114.75 ft² which is less than the area of the parking space, 209 ft².
Therefore, the truck can fit in the parking space because the area of the truck is less than the area of the parking space.
help please with this question
Answer:
Step-by-step explanation:
7x - 2 = 3x + 38
4x - 2 = 38
4x = 40
x = 10
7(10) - 2 = 70 - 2= 68
A farmers field has the dimensions 2 and 3/4 by 1 and 1/3. He needs to find the area of the field
Answer:
3 2/3 units²
Step-by-step explanation:
Since the field is rectangular in nature;
Area of the field = Length * Width
Given
Length = 2 3/4
Width = 1 1/3
Area of the field = 2 3/4 * 1 1/3
Area of the field = 11/4 * 4/3
Area of the field = 4/4 * 11/3
Area of the field = 1 * 11/3
Area of the field = 11/3
Area of the field = 3 2/3
Hence the area of the field is 3 2/3 units²
Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c > 0, what could be possible values of p and q?
a. p = 5, q = -8
b. p = -2, q = 6
c. p = -4, q = -7
d. p = -13, q = 1
p could be 5 and q could be 8 this is just my guess but i think its right
p = - 4, q = -7, or in other words with the given choices above, option C. I hope this helps : ) I was working on this assignment earlier; this was a tough question, but I figured it out. If this is the same assignment I am thinking of, it should be alright. :D
corresponding sides of similar triangles are 4cm and 3metres .What is the enlargement factor 'k'?
Answer:
[tex]k = 75[/tex]
Step-by-step explanation:
Given
Corresponding sides: 4cm and 3m
Required
Determine the enlargement factor
This is calculated as:
[tex]k = \frac{New}{Old}[/tex]
So:
[tex]k = \frac{3m}{4cm}[/tex]
Convert to cm
[tex]k = \frac{3*100cm}{4cm}[/tex]
[tex]k = \frac{300cm}{4cm}[/tex]
[tex]k = \frac{300}{4}[/tex]
[tex]k = 75[/tex]
Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?
Answer:
5
Step-by-step explanation:
what is the simplify answer of 5/6+3/4+2/3 write as mixed number, if possible.
Answer:
Step-by-step explanation:
Fractions need a common denominator before being added together.
5/6 = 10/12
3/4 = 9/12
2/3 = 8/12
The sum is 27/12 = 2 3/12 = 2¼
Answer:
5/6=10/12
3/4=9/12
2/3=8/12
27 = 2 1/4
12
los estudiantes del colegio Andrés Bello estuvieron de excursión 1/3 viajaron a nuquí 2/15 viajaron al parque natural los katíos y el resto viajó al parque natural la Ensenada de utría.
¿qué número decimal presentan los estudiantes que viajaron al parque natural la Ensenada en utría?
con procedimiento.
Answer:
El número decimal que presenta los estudiantes que viajaron al parque natural la Ensenada en utría es 0.5333.
Step-by-step explanation:
La soma de todos los estudantes és 100% = 1.
Andrés Bello estuvieron de excursión 1/3 viajaron a nuquí 2/15 viajaron al parque natural los katíos y el resto viajó al parque natural la Ensenada de utría.
Isto implica que:
[tex]\frac{1}{3} + \frac{2}{15} + x = 1[/tex]
Aplicando el minimo múltiplo comum, tiene-se:
[tex]\frac{5 + 2 + 15x}{15} = 1[/tex]
[tex]7 + 15x = 15[/tex]
[tex]15x = 8[/tex]
[tex]x = \frac{8}{15}[/tex]
[tex]x = 0.5333[/tex]
El número decimal que presenta los estudiantes que viajaron al parque natural la Ensenada en utría es 0.5333.
B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each
Answer:
$1,500
Step-by-step explanation:
Income - Expenses = Savings
Income = 2 × 10,000 = $20,000
Expenses = 3,500 + 10,000 + 5,000 = $18,500
$20,000 - $18,500 = $1,500 left for Savings
Jonesha made a scale of her backyard . The backyard was 6 inches long and 9 inches wide in her scale drawing . The actual length was 30 feet
Answer:
The width of Jonesha's backyard is 45 feet.
Step-by-step explanation:
Given that Jones has made a scale of her backyard, which was 6 inches long and 9 inches wide, if the actual length was 30 feet, to determine the real width of her backyard, the following calculation must be performed:
1 ft = 12 inches
30 ft = 30 x 12 = 360 inches
360/6 = 60
Thus, the scale of Jonesha's backyard is 1:60. Therefore, the real width of the backyard of it arises from the following calculation:
(9 x 60) / 12 = X
540/12 = X
45 = X
Thus, the width of Jonesha's backyard is 45 feet.
48.62/2
With a remainder
Answer:
24.31
Step-by-step explanation:
24.31........ ............
Due immediately!!!!! Please help!!!
Answer:
d. all real numbers
Step-by-step explanation:
the y will always be all real numbers
List the PROs and CONs of using coal as a power source.
Answer:
pros:Affordability,Known technologies,Safety.
cons:Greenhouse gas emissions,Mining destruction,Emission of harmful substances.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The pros of using coal as an energy souse is have alot of electicity and the con s of using coal as an energy souse is globlal warming, pollued air limited supply of coal in Earth
Pls Comment
How do you get infinitely many solution?
Answer: I’m
Step-by-step explanation: I’d not knkw
HELPPPPPPPPP THERE MIGHT BE SOMEONE W A LINK HERE BUT IT DONT MATTER JUST ANSWER FOR BRAINLIEST PLS.
Answer:
5)
y= x+8
table:
you must sum 10, 11 ecc... to 8 to to get all the y
10+8= 18
19
20
21
22
23
6:)
y=x+50
It's the same as above
10. 20. 30. 40. 50
60. 70. 80. 90. 100.
i can't make the graph here sorry :(
Enter your answers in the boxes to correctly complete this statement. 6.184×105= because the number 105 has zeros when it is written without an exponent.+
Answer:
74.94×103= 3
because the number 10³ has
zeros when it is written without an exponent.
Step-by-step explanation:
74.94×103=
because the number 10³ has
zeros when it is written without an exponent.
3 zeros
Help please? There is two photos.
Answer:
A. tan (30°) = 5/bStep-by-step explanation:
For the given triangle correct choice is:
tan = opposite / adjacenttan (30°) = 5/bCorrect choice is A
Answer:
tan30= perpendicular/base
tan30=5/b
Researchers investigated whether insomnia is related to education status. Adults living in a certain region were selected to participate in the study using aâ random-digit telephone dialing procedure. In addition to insomnia statusâ (normal sleeper or chronicâ insomnia), the researchers classified each participant into one of four education categoriesâ (college graduate, someâcollege, high schoolâ graduate, and high schoolâ dropout). One dependent variable of interest to the researchers was a quantitative measure of daytime functioning called the Fatigue Severity Scaleâ (FSS). The data were analyzed as a 2Ã4 factorialâexperiment, with Insomnia status and Education level as the two factors.
Required:
a. Determine the number of treatments for this study. List them.
b. How many treatments are there for thisâ study?
Answer:
A) 8 treatments
Normal sleeper, high school dropout Normal sleeper, high school graduate .Normal sleeper, college graduate Chronic insomnia, college graduate Chronic insomnia, high school graduate Chronic insomnia, high school dropout Normal sleeper, some college Chronic insomnia, some collegeB) 8 treatments
Step-by-step explanation:
A) determine the number of treatments for this study
The number of treatments for this study can be determined as : 2 * 4 = 8 treatments
and they are :
Normal sleeper, high school dropout Normal sleeper, high school graduate .Normal sleeper, college graduate Chronic insomnia, college graduate Chronic insomnia, high school graduate Chronic insomnia, high school dropout Normal sleeper, some college Chronic insomnia, some collegeB) eight (8 ) treatments
Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y^ = 57.25 − 1.07x1 − 0.64x2
According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.
The regression equation provided is:
ŷ = 57.25 - 1.07x1 - 0.64x2
Where:
ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)
x1 represents the Thickness of Insulation (inches)
x2 represents the Outdoor Temperature (ºF)
Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).
The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.
The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.
The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.
for such more question on regression equation
https://brainly.com/question/22077082
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What is the equation of the midline of f(x)=1.5+cosx?
Answer:
midline = 1.5
Step-by-step explanation:
f(x) = d + a*cos (bx+c)
a = amplitude
b = part of the period
c = horizontal shift
d = vertical shift (midline location)
d = 1.5
Answer:
1.5
Step-by-step explanation:
1.5
what is the circumcentwr?
A (7.5,4.5)
B(4,2)
C(0,0)
Answer:
B
Step-by-step explanation:
Suppose ABCD is a rhombus with AB=12 inches. The midpoints of its sides are joined to form a quadrilateral.
What is the length of a diagonal of this quadrilateral?
(please give an explanation)
The quadrilateral formed would be a square and the diagonal of the square would have a length of 12 inches
What is a rhombus?A rhombus is a quadrilateral (has four sides and four angles) in which opposite sides are parallel to each other. All the sides of rhombus are equal. Opposite angles are also equal.
ABCD is a rhombus. If the midpoints of its sides are joined to form a quadrilateral, the quadrilateral formed would be a square and the diagonal of the square would have a length of 12 inches (same as the rhombus length).
Find out more on rhombus at: https://brainly.com/question/20627264
Can you plz help me with number one
Answer: C. 2
Step-by-step explanation:
Are the sets equivalent?
2) A = {17, 19, 21, 23, 25)
16.
B = {18, 20, 22, 24, 26}
Answer:
Step-by-step explanation:
number of elements in set A=5
number of elements in set B=5
so they are equivalent.
The volume of a cylinder is 4,224.8 cubic inches and the radius is 8.2 inches. Find the height of the cylinder.
Convert 3 pints into quarts.
Answer:
3 pints equals 1.5 liquid quarts
Step-by-step explanation:
You can use an online calculator or divide by 2!
Step-by-step explanation:
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1 point
At a cost of $200, your club bought 175 frisbees to sell at the pep rally. You plan on selling them for $5 each. Which of the following represents the profit function, P.
after selling a certain number of frisbees, f.
Answer:
p(f)=5f-200
Step-by-step explanation:
----------------
find y when x = 3 of the equation for y=2x+12
Answer:
y = 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
y = 2x + 12
x = 3
Step 2: Evaluate
Substitute in x: y = 2(3) + 12Multiply: y = 6 + 12Add: y = 18[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = 3, then SUBSTITUTE it where the x value is in the equation}[/tex]
[tex]\large\text{y = 2x + 12}\\\large\text{y = 2(3) + 12}\\\large\text{2(3) = 6}\\\large\text{y = 6 + 12}\\\large\text{6 + 12}\rightarrow\large\text{\bf 18}\\\large\text{y = \bf 18 }\large\checkmark\\\\\\\boxed{\boxed{\huge\text{Answer: \bf y = 18}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
1. Find the number that makes the ratio equivalent to 1:5.
a) 25
b) 4
c) 20
d) 6
Answer:25 mark brainless!
Step-by-step explanation:
5x-2y=-20 and 5x-8y=-50 what is the ordered pair
Answer:
Solution Set: (-2,5)
Step-by-step explanation:
Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.
Statement A: the area of triangle GHL plus of triangle HIJ
Statement B: the area of triangle GHK plus the area triangle HIK
Statement C: the area of triangle GHK plus the area of triangle ILK
Statement D: the area of triangle GHK plus the area of triangle ILK
The statements to determine the area of the polygon by division into triangles are evaluated as follows;
Statement A: the area of triangle GHL plus of triangle HIJ --NoStatement B: the area of triangle GHK plus the area triangle HIK --YesStatement C: the area of triangle GHK plus the area of triangle ILK. --NoStatement D: the area of triangle GHK plus the area of triangle ILK. --NoPolygons and TrianglesFrom the given description;
The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.
Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.
Read more on Area of polygons;
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