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Norma-Jean [14]
3 years ago
6

Mitchell made a scale model of the Empire State Building the building has an actual height of 381 meters Mitchell's model used a

scale in which one centimeter represents 50 m what is the height in centimeters of Mitchell's model
Mathematics
1 answer:
aev [14]3 years ago
6 0

Answer:

7.62 cm

Step-by-step explanation:

Mitchell made a scale model of the Empire State Building.

Actual height = 381 m

Scale = 1 cm to 50 m

Model height = x cm

Write a proportion:

\dfrac{381}{x}=\dfrac{50}{1}

Cross multiply:

50x=381\\ \\x=\dfrac{381}{50}=\dfrac{381\cdot 2}{50\cdot 2}=\dfrac{762}{100}=7.62\ cm

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6×310=6×{300+_____]=[6×____}+(_____×10}=____+____=____
Y_Kistochka [10]
300+10= 6×35 +10×10 explanation 6×35=210 and then 10×10=100 =210+100=310
6 0
3 years ago
En un club de matemática, el 20% prefiere algebra, el
REY [17]

The number of members that prefers geometry are 54members

Given the total number of people in the math club = 120 members

Let algebra  + arithmetic + geometry = 100%

20 + 35 + geometry = 100

55 + geometry = 100

geometry = 100 - 55

geometry = 45%

This shows that the percentage of the member of the club that prefers geometry is 45%

Number of member that prefer geometry = 45% * 120

Number of members that prefer geometry 0.45 * 120

Number of members that prefers geometry = 54 members

Hence the number of members that prefers geometry are 54members

Learn more here: brainly.com/question/3796978

6 0
3 years ago
Factor completely 4xy − 7x + 20y − 35.
kati45 [8]

Answer:

A) (x+5)(4y-7)

Step-by-step explanation:

Given expression:

4xy-7x+20y-35

To factor the given expression completely.

Solution:

In order to factor the expression, we will factor in pairs.

(4xy-7x)+(20y-35)

We will factor the G.C.F of the terms in the pairs.

G.C.F. of 4xy and 7x can be given as:

4xy=4.x.y

-7x=7.x

Thus, G.C.F. = x

G.C.F. of 20y and 35 can be given as:

20y=2\times 2 \times 5.y

35=5\times 7

Thus, G.C.F. = 5

The expression after factoring the G.C.F. pairs is given as:

x(4y-7)+5(4y-7)

Taking G.C.F. of the whole expression as (4y-7) is a common term.

(x+5)(4y-7)

The expression is completely factored.

3 0
3 years ago
Read 2 more answers
Can a side with the total of 19.5 be parallel to a side that has a total of 15
Gekata [30.6K]

Answer:

No

Step-by-step explanation:

3 0
3 years ago
choose the equation that represents a line that represents a line that passes through points -3, 2 and 2,1 A. 5x+y=-13 B. 5x-y=1
Mrrafil [7]

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-2}{2-(-3)}\implies \cfrac{-1}{2+3}\implies -\cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=-\cfrac{1}{5}[x-(-3)]\implies y-2=-\cfrac{1}{5}(x+3)

\bf y-2=-\cfrac{1}{5}x-\cfrac{3}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5\left(y-2 \right)=5\left( -\cfrac{1}{5}x-\cfrac{3}{5} \right)}\implies 5y-10=-x-3 \\\\\\ 5y=-x+7\implies x+5y=7

6 0
4 years ago
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