Helen made a scale drawing of the middle school. The gym is 195 inches long in the drawing. The actual gym is 104 feet long. What scale did Helen use?

Answers

Answer 1

Answer:

5 inches on the drawing = 32 actual inches

Step-by-step explanation:

195 inches

104 x 12 = 1248 inches

1/39

Answer 2

Answer:

she used a scale of 5 inches to represent 32 inches actual length

Step-by-step explanation:

We are told that helen made the gym to be 195 inches long in the drawing.

Now, we are told that the actual length of the gym is 104 ft long.

Thus, converting to inches,

1ft = 12 inches

So, 104ft = 104 × 12 = 1248 inches

Which means that 194 inches represented 1248 inches.

So the scale is:

195:1248

Dividing both by a common factor of 39 to give a scale of (195/39):(1248/39)

This gives;

5:32

So she used a scale of 5 inches to represent 32 inches actual length


Related Questions

Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile? 2.6 6.2 38.5 61.6

Answers

Answer:

38.5 miles

Step-by-step explanation:

We know that the distance between Mia's house and her aunt's house is 15.4 inches apart.

We also know that every 4 inches on the map represent 10 miles.

4 inches = 10 miles

Divide :

1 inch = 2.5 miles

Multiply the shown distance in the question by the amount of miles per inch

15.4 * 2.5

= 38.5 miles in total.

Answer:

C.)38.5

Step-by-step explanation:

It took the exam:P

Let's see what it would take to win that trip to Hawaii.
Remember that you think you'll respond to 12 questions and hope to score 600 points to win,
although it's possible to score even more points or many fewer (including negative scores!) on
the show.
Here are the equations you wrote to model your winning scenario:
x+y=12
100x - 200y = 600
Are the boundaries of the first equation viable in the second equation? What does this
suggest about your plan to score 600 points?
Select the two correct statements.​

Answers

Answer:

A and D choices (Plato)

Step-by-step explanation:

The upper boundary of the first equation is at x = 12, y = 0. With these values, this is the second equation:

100(12) − 200(0) = 1,200.

The lower boundary of the first equation is at x = 0, y = 12. With these values, this is the second equation:

100(0) − 200(12) = -2,400.

Both of these scores are possible in the game, so they are both viable.

Because the upper boundary is greater than 600, it suggests that you can still score 600 points and win the game even if you get one or two of the questions incorrect.

In fact, you could give 10 correct and 2 incorrect answers to score 600 points and still beat the champion, Kimberly, assuming she answers 15 correct and 5 incorrect to score 500 points.

One type of fabric costs $31.25 for 5 square yards. Another type of fabric costs $71.50 for 11
square yards. Is the relationship between the number of square yards and the cost
proportional between the two types of fabric?

Answers

Answer:

as ratio of two type of fabric is different .

hence, the relationship between the number of square yards and the cost

is not proportional between the two types of fabric

Step-by-step explanation:

For a relation to be proportional

a:b = c:d

in other form

a/b = c/d

______________________________________________

Ratio for first type of fabric

cost of fabric/ area of fabric = 31.25/5 = 6.25

Ratio for other type of fabric

cost of fabric/ area of fabric = 71.50/11 = 6.5

as ratio of two type of fabric is different .

hence, the relationship between the number of square yards and the cost

is not proportional between the two types of fabric

BRAINLIEST, THANKS AND 5 STARS IF ANSWERED BOTH CORRECTLY

Which set of points represents a function?
A. (-5, -4), (-4, -3), (-3, -2), (-2, -1)
B. (-6, 2), (6, -2) (-5, 3), (-5, -3)
C. (8, -1), (8, 2), (8, -3), (8, 4)
D. (1, 3), (-4, 4), (3, -2), (1, 0)

Which set of points represents a function?
A. (2, -5), (4, 0), (7, 0), (2, 5)
B. (-1, 4), (2, -4), (-1, -4), (-2, 4)
C. (-5, -1), (-2, -1), (1, -1), (4, -1)
D. (3, -5), (3, -1), (3, 2), (3, 4)

Answers

Answer:

Numer 1

A) (-5, -4), (-4, -3), (-3, -2), (-2, -1) Is a function

Number 2

C) (-5, -1), (-2, -1), (1, -1), (4, -1) is a function

in a function, all elements in domain "x" should have a pre-image "y" and they should be unique (one x can have only one value of y, but more than one x can have same same value of y) for all ordered pair (x,y)

it's not clearly possible to tell without knowing the actual set but with given information,

1. A

2. C

suppose we want to choose 6 letters without replacement from 13 distinct letters. A) how many ways can this be done if order does not matter? B) how many ways can this be done if order of choices matters

Answers

Answer: A) 1716   B) 1235520

Step-by-step explanation:

If order doesn't matter , then we use combinations, where the number of combinations of selecting r things from n is given by :-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

If order matters , then we use permutations, where the number of permutations of selecting r things from n is given by :-

[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]

Given, Total distinct letters = 13

To choose = 6 letters

A) Number of ways to choose (if order does not matter)=[tex]^{13}C_6[/tex]

[tex]=\dfrac{13!}{6!7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!}{(720)\times 7!}\\\\= $$1716[/tex]

B) Number of ways to choose (if order matters)=[tex]^{13}P_6[/tex]

[tex]=\dfrac{13!}{7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!} 7!}\\\\= $$1235520[/tex]

Hence, A) 1716   B) 1235520

can u help me with this problem ​

Answers

Answer:

$4.20

Step-by-step explanation:

y = .05x (using stat on calculator)

y = .05(84)

$4.20

the answers or this problem is $4.20

*NEED AN ANSWER ASAP* Find x+y given the angle measures in trapezoid EFGH below.

Answers

Answer: x + y = 150

Explanation

y - 65 = 110

y = 110 + 65 (Alternate Interior)

y = 175

y - 65 = 110

∠FGH = 70

70+55+x+45+110 = 360 (sum of angles of a quadilateral is 360)

x + 280 = 360

x = 360 - 280

x = 80

So

x + y = 70 + 80

= 150

Must click thanks and mark brainliest

hdndnndndndndnndndndndnbd

Answers

Answer:

Hshushahhahaa

Hdhddjkddjdkjd

fins the least number which should be added to 4100 to get a perfect square. also find the square root of the perfect square.

plz sent answer fast ​

Answers

Answer:

Step-by-step explanation:

Find the square of 4100 by long division method

As 4100 is not a perfect square, it will have balance.

Now Find 65 * 65 = 4225

4225 - 4100 = 125

125 should be added to 4100 to get a perfect square

4225  = 5 * 5 * 13 * 13

[tex]\sqrt4225}=\sqrt{5*5*13*13}=5*13=65[/tex]

Nearest square of 4100.

4225=(65)^2

[tex]\\ \sf\longmapsto 4225-4100[/tex]

[tex]\\ \sf\longmapsto 125[/tex]

125 should be added

Howard earns $46 for every 2 hours of work. What is the constant of proportionality in the scenario?

Answers

Answer:

23

Step-by-step explanation:

Take the amount of money and divide by the hour

46/2 = 23

23 dollars for every hour

The constant of proportionality is 23

Sex ratio is defined as the number of females per 1000 males in the population. Find the sex ratio if there are 3732 females per 4000 males in a town.

Answers

Answer:

933

Step-by-step explanation:

female : male

x : 1000

x : 4000

1000 x 4 = 4000

3732 : 4000

3732 ÷ 4 = 933

The sex ratio here is
3732/4000
= 933/1000
Therefore, the sex ratio is 933 females per 1000 males

What is the angle of C?

Answers

Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

[tex]\large\boxed{C = 50^o}[/tex]

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

URGENT WILL GIVE BRAINLIEST TO FIRST RESPONDER You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height. The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees. This forms a right triangle. a. What is the measure of the other acute angle? b. What is the height of the tree? c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree? d. Can you take a clear picture of the top of the tree from where you are standing?

Answers

Answer:

a) 55 degrees

b) 350 ft.

Step-by-step explanation:

a- the sum of angles of triangle=180

( since it is right angle , one angle is 90 degrees), x be the acute angle

x+35+90=180

x=180-125

x=55 degrees

b) tan 35= height of a tree/ length of a shadow

height of a tree=tan35*500=350.103≅350 ft ( rounded to nearest tens)

c)  hypotenuse²=350.1²+500²

c=√350.1²+500²

c=610.385 ft

d) no because the distance is more than 500


Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.

Answers

Answer:

2y=2y-4=x

Step-by-step explanation:

Demerol 45mg and atropine 400mcg/ml give how much per ml to total volume to inject demerol contains 50mg/ml, atropine contains 400mcg/ml how much volume to inject

Answers

Answer:

Volume injected  = 1.65 ml

Step-by-step explanation:

mass of Demerol =45 mg.

density of pre-filled in syringe = 50 mg/ml

Volume = 45/50 = 0.9 ml

For atropine mass = 0.3 mg

density= 400 mcg/ml     [ Note : 1 mcg = 0.001 mg]

volume filled  = 0.3/400(0.001) = 0.75 ml

So, the total volume filled = 0.75+0.9 = 1.65 ml

Can you help Jorge organize the results into a two-way frequency table? Please answer this ASAP

Answers

Answer:

The table is attached!

Step-by-step explanation:

6 students play both musical instrument and a sport3 students play neither a musical instrument nor a sport14 students in total play a sport

Given: There are 24 students in the class

The number of students that does not play a sport is 24 - 14 = 10

The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8

The frequency table thus is attached below:

Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy

Answers

Answer:

Madison is gonna need to buy 250 pounds of meat.

Feel free to Brainliest :)

(b) In a group of 140 people, 74 like tea, 104 like milk and each person likes at least one of the two drinks.
How many people like both tea and milk?
(ii) How many people like tea only?
(iii) How many people like milk only?​

Answers

Answer:

How many people like both drinks?

To find the overlap, we can do (104 + 74) - 140 = 38.

How many people like tea only?

To find this, we can do 74 - 38 = 36.

How many people like milk only?

To find this, we can do 104 - 38 = 66.

Answer:

Step-by-step explanation:

A = Number of people who likes tea

B = Number of people who likes milk

Total people = n(A U B) = 140

(i) n(AUB) = n(A) + n(B) - n(A ∩B)

n(A∩B) = n(A) + n(B) - n(A ∪B)

n(A∩B)  = 74 + 104 - 140

             = 178 - 140

n(A∩B)  = 38

Number of people who likes both tea and milk = 38

(ii)Number of people who likes tea only = n(A) - n(A∩B)

                                                                  = 74 - 38

                                                                 = 36

(iii) Number of people who likes milk only = n(B) -n(A∩B)

                                                                     = 104 - 38

                                                                     = 66

The row-echelon form of the augmented matrix of a system of equations is given.Find the solution of the system

Answers

Answer:

x = 9/4

y = 3/5

z = 2/3

w = -9/5

Step-by-step explanation:

Technically, the matrix is in reduced row echelon form. If there are zeros above and below the ones, it is RREF. If there are zeros only below the ones, then it's REF.

Since it is in RREF, the augmented numbers to the right of the bar are already your solutions. Simply label the variables.

Which ppint is the center of the circle?
O point w
O point X
O point Y
O point z

Answers

Answer:

??????????????????????????????????????????????????????????????

Step-by-step explanation:

Answer:

where is Point or picture

convert 1/1000 to a decimal or percent please and thank you

Answers

Answer:

0.001 ,0.10  pls give me brainliest

Step-by-step explanation:

In decimal fraction we write it as 1/1000. In decimal number we write it as . 001 and we read it as point zero zero one.

Find the least common multiple of 4 and 10

Answers

Answer:

LCM of 4 and 10 is 20

Step-by-step explanation:

yes that is the answer

Answer:

Step-by-step explanation:

Factor 4 and 10 into primes

4: 2 * 2

10:2 * 5

Number of 2s = 2 twos

Number of 5s = 1 five

LCM of 4 and 10 = 4 * 5 = 20

Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).

Answers

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

f(x) = x - 7

h(x) = 2x + 3

To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)

That's

h(f(x)) = 2(x - 7) + 3

h(f(x)) = 2x - 14 + 3

We have the final answer as

h(f(x)) = 2x - 11

Hope this helps you

There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?

Answers

Answer:

2/15

Step-by-step explanation:

2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens

P(red) = red/total = 4/10 = 2/5

Keep the pen

2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens

P(red) = red/total = 3/9 = 1/3

P(red,red) = 2/5 * 1/3 = 2/15

WILL GIVE BRAINLIEST!!!
Help Someone please!! Given the following perfect square trinomial, find the missing term: 4x2 + ___x + 49 7 14 28 36

Answers

Answer:

28

Step-by-step explanation:

[tex]4 {x}^{2} + - - x + 49 \\ this \: is \: the \: expanded \: form \: of \\ {(2x + 7)}^{2} = 4 {x}^{2} + 28x + 49[/tex]

Answer:

[tex]\huge \boxed{28}[/tex]

Step-by-step explanation:

The trinomial is a perfect square.

Take the square root of the first term and the last term.

[tex](\sqrt{4x^2}+\sqrt{49})^2[/tex]

[tex]\sqrt{4x^2}=2x\\ \sqrt{49} =7[/tex]

[tex](2x+7)^2[/tex]

Expand to find the second term of the trinomial.

[tex](2x+7)(2x+7)\\2x(2x+7)+7(2x+7)\\4x^2 +14x+14x+49\\4x^2 +28x+49[/tex]

The second term of the trinomial is 28x.

a horizontally laid standard weight pipe has a diameter of 10 inches and is 12 feet long. The pipe is filled 9 inches high with water. How many gallons of water does the pipe hold? (Round your answer to the nearest gallon.) Please help.

Answers

Answer:

d isósceles hijo muy graciosa ya no me acuerdo de nada y tu q ases hablas con el

Evaluate without actual multiplication 1) 95x96 2)103x107

Answers

Answer:

:

"(100 + 3) (100 + 7)

Now, by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 3 , b = 7

= (100)² + (3+7)*100 + (3*7)

= 10000 + 1000 + 21

= 11021

.

(110 - 7) (110 - 3)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-7) , b = (-3)

= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}

= 12100 + (-10)*110 + 21

= 21200 - 1100 + 21

= 11021

.

➖➖➖➖➖➖➖➖➖➖

.

(90 + 5) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 5 , b = 6

= (90)² + (5+6)*90 + (5*6)

= 8100 + 990 + 30

= 9120

.

(100 - 5) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-5) , b = (-4)

= (100)² + { (-5) + (-4) }*100 + 20

= 10000 + (-9)*100 + 20

= 10000 - 9000 + 20

= 10020 - 900

= 9120

.

➖➖➖➖➖➖➖➖➖➖

.

(100 + 4) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 4 , b = (-4)

= (100)² + { 4 + (-4) }*100 + 4*(-4)

= 10000 + (4 - 4)*100 - 16

= 10000 + 0*100 - 16

= 10000 - 16

= 9984

.

(90 + 14) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 14 , b = 6

= (90)² + (14 + 6)*90 + (14*6)

= 8100 + 20*90 + 84

= 8100 + 1800 + 84

= 9984"

This answer was in another question

This answer was given by BloomingBud

Step-by-step explanation:

Answer:

1) 9120 2) 11021

Step-by-step explanation:

95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120

103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021

Answer pls……………………….

Answers

Answer:

D

Step-by-step explanation:

x^2=y^3

Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2

Answer:

z = 2

Step-by-step explanation:

[tex]x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}[/tex]

As bases are same, compare the powers

3z = 6

z = 6/3

z = 2

Simplify the following expression: 5(3x) - 3(7x - 2)
�� 6x + 6 �� 36x + 6
�� 6 - 6x �� 6 - 36x

Answers

Answer:

The answer is in the screenshot -6x-6

Step-by-step explanation:

What the answer question now

Answers

Step-by-step explanation:

Here,

radius (r)= 2cm

height(h)=5cm

now,

according to the question we must find the surface area of cylinder so,

by formulae ,

a= 2.pi.r(r+h)

now,

a= 2×3.14×2(2+5)

by simplifying it we get,

The surface area of cylinder is 87.92 cm^2.

Hope it helps

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