Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?
Scale drawings are used to show an actual image using lesser dimensions.
The width of the actual gym is 72 feet
The scale is given as:
[tex]Scale = 5\ inches : 8\ feet[/tex]
Represent the width of the actual gym with w, so, we have the following equivalent ratio
[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]
Cancel out the common units
[tex]45: w = 5: 8\ feet[/tex]
Express as fraction
[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]
Cross multiply
[tex]5w = 45 \times 8\ feet[/tex]
Divide both sides by 5
[tex]w = 9\times 8\ feet[/tex]
[tex]w = 72\ feet[/tex]
Hence, the width of the actual gym is 72 feet
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–r = 3r − 4r how many solutions
Answer:
Both sides are equal so there are infinitely many solutions.
Step-by-step explanation:
3 different solutions
when one number crosses the equality sign , the sign always changes
Which is greater? -4.84 or -8.48
Answer:
-4.84
Step-by-step explanation:
the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater
Answer:
-4.84
Step-by-step explanation:
Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers
The lengths of two organisms, P and Q. were recorded. Organism Pis
25 nanometers long and Organism Q is 2,500 picometers long. Which
organism has the greater length?
Answer:
P
Step-by-step explanation:
The SI prefixes nano- and pico- stand for ...
nano- = 10^-9
pico- = 10^-12
2500 picometers is 2500·10^-12 = 2.5·10^-9 = 2.5 nanometers.
25 nanometers is greater than 2.5 nanometers, so is the greater length. Organism P has the greater length.
find the product of 2317 and 9
Answer:
20,853
Step-by-step explanation:
me right always right
Answer:
20,853
Step-by-step explanation:
To find the product of something you must multiply. 2317x9=20853, which can be found using a calculator
what value is equivalent to -30-2^3*3
- 30 - 2³ × 3
= - 30 - 8 × 3
= - 30 - 24
= - 54
Follow the order of PEMDAS.
P =》Parenthesis
E =》Exponents
M =》Multiplication
D =》Division
A =》Addition
S =》Subtraction
____
Hope it helps ⚜
1/5 divided by 2/15 as a mixed number
Answer: 1 1/2
Step-by-step explanation:
Step One: 3 / 2 = 1.5000 = 1
Step Two: 3 - (2 x 1) = 1
Step Three: 1 1/2
Please mark me branliest
(−7c+8d)0.6
khan academy pls help.
Answer:
[tex]\sf -4.2c+4.8d[/tex]Step-by-step explanation:
[tex]\sf \left(-7c+8d\right)\cdot \:0.6[/tex]
[tex]\sf 0.6\left(-7c+8d\right)[/tex]
Apply distributive property
[tex]\sf 0.6\left(-7c\right)+0.6\times \:8d[/tex]
[tex]\sf -4.2c+4.8d[/tex]
Have a good day!
A 2-pack of light bulbs costs $0.73. What is the unit price, rounded to the nearest cent?
Answer:
37 cents.
Step-by-step explanation:
Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.
Solve for x : 3x - 24 = 81
Answer:
3x - 24 = 81
3x = 81 + 24
3x = 105
x = 105 / 3
x = 35
Step-by-step explanation:
What are the slopes (m1 & m2) to
1.)
3x+6=30
&
4y+2x=9
2.)
-x-y=-1
&
y+x=7
Can you please help me?!
Answer:
a. (2,1)
b. (0,2)
c. (4,0)
Step-by-step explanation:
2x+ 4y = 8 /2
x + 2y = 4
x = 4 - 2y and y = (4 - x)/2
a. x = 2 => y = 1
b. x = 0 => y = 2
c. y = 0 => x = 4
PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST
Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)
Answer:
[tex]\sqrt[3]{x}[/tex]
[tex]x^3[/tex]
is
Step-by-step explanation:
5n + 2m+4n
30m 30m
Simplify Each Expression
Answer:
5n+2m+3600nm^2
Step-by-step explanation:
A package of 3 pairs of insulated socks costs $23.07 . What is the unit price of the pairs of socks
The answer would be 23.07/3 = 23 is $7.69
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus $16 per ticket to the planetarium. The second day they paid $85 for transportation plus $13 per ticket to the geology museum. Write an expression to represent the total cost for two days for the n members of the club.
Answer:
I dont know your answer
Step-by-step explanation:
Because i dont
Just help me on 6 and 7 please
6) [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]
7) [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]
ok done. Thank to me :>
Write an algebraic expression for the following: A number that is 5 more than half of x
Options:
1. 5x x 1
2. 0.5x + 5
3. 5x
4. 0.5x - 5
Answer:
2. 0.5x + 5
Step-by-step explanation:
5 + 0.5x
helppppppppppppppppppppppppppp
Answer:
-1/2
Step-by-step explanation:
It is negative because of the direction the line.
It is one half because it rises one and runs two.
I hope this helps!
Answer:
The slope is -1/2
The slope intercept is 2
The form is y = 2 - 1/2x
Esma has a box that is 20 cm wide 10 cm high, and 10 cm deep she wants to fill the box with packages that are 5 cm wide 2 cm high and 2 cm deep what is the greatest number of packages that she can put in the box with out it overfilling
Answer:
Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A = 3
B = -5
C = 1
C = -6
Step-by-step explanation:
Factors of 30:
10 3
15 2
5 6
Using positives or negatives of these numbers you need to find two that'll satisfy the equation
A is known to be 3 and C is known to be 1 because the factors of 3 are only 1 and 3.
After some trial and error we end up with
(3x-5)(x-6)
We know this will work because hen you multiply it out you get
3x^2-18x-5x+30
simplify
3x^2 -23x + 30
And this is the original equation
Answer:
........................
HEEEELLLPPPP PLLEEASSSEE!!! ASAP
A group of marine biologists on a marine expedition recorded the altitudes at which they found four animals. Which inequality correctly compares the altitudes at which they found the animals?
Creature Altitude (feet)
great white shark -430
sea urchin -452
sea turtle -502
garden eel -396
A.
sea turtle < sea urchin < great white shark < garden eel
B.
garden eel < sea urchin < great white shark < sea turtle
C.
great white shark < sea urchin < sea turtle < garden eel
D.
garden eel < great white shark < sea urchin < sea turtle
E.
sea turtle < great white shark < sea urchin < garden eel
Answer:
Option D
Step-by-step explanation:
Since we know that if the number is negative then the smaller the number is greater. Ex :-
-7 > -10
So,
Arranging the given altitude in descending order
-396 > -430 > -452 > -502
Hence,
The highest altitude is of garden eel. Then of great white shark. Afterward the altitude of sea urchin. At last the lowest altitude is of sea turtle
Answer:
Hope it will help you a lot.
My question : here is related to Algebra 1 HELP
Answer:
The sun is about 390 times farther than earth is from the moon
Step-by-step explanation:
It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.
The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y?
If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10
The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through points (5, 6) and (10, y)
[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]
The slope, m = 4/5
Substitute these value into the slope formula and solve for y
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]
Cross multiply:
4(5) = 5(y-6)
4 = y - 6
Collect like terms
y = 4 + 6
y = 10
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Help I need help please help help
Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.
Step-by-step explanation:
Let us solve for our 1st inequality.
2x + 9 - 9 < 0 - 9
2x< -9
2x/2 < -9/2
X< -4.5
Upon combining our both inequalities, we will get:
-12 < x < -4.5
This means that solution of our inequalities is x values greater than -12 and less than -4.5
We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.
Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}
What is the Point slope for -4,3 and 4,3? Help plz
Answer:
y-3=0(x+4)
Step-by-step explanation:
[tex]\text{Given that,}\\\\(x_1,y_1) =(-4,3) ~\text{and}~ (x_2,y_2)= (4,3)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{3-3}{4+4} = \dfrac 08 = 0\\\\\\\text{Point - slope form,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 0(x +4)[/tex]
find the interval in which the function is negative.
f(x) = x^2 - 3x - 4
I. (- infinite, -1)
II. (-1, 4)
III. (4, infinite)
A. III only
B. II only
C. I, II
D. I, III
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
You want to determine which cellphone provider would give you the best service. is it Experimental vs. Observational
Can you please help me with this question
Answer:
C
Step-by-step explanation:
The first step in solving a problem is to understand what you are given. Here, all of the tables have the same set of equally-spaced x-values. That means a linear relationship can be identified by looking for constant differences in the f(x) values.
Only the f(x) values in Table C have constant differences (all are 2).
Table C represents a linear function. f(x) = 2x -1