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user100 [1]
2 years ago
9

Referring to the scale, 1:50 what is the actual measurement of the wall marked 18 cm on the plan?

Mathematics
1 answer:
vfiekz [6]2 years ago
4 0

Answer:

900 cm

Step-by-step explanation:

1 : 50

We need the first number to be 18 so multiply by 18

1:18 : 50*18

18 cm : 900 cm

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What value of x would make KM ∥ JN?
stepan [7]

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if \dfrac{JK}{KL}= \dfrac{NM}{ML} , then KM ∥ JN.

Substitute the expressions into the proportion:

\dfrac{x-5}{x}= \dfrac{x-3}{x+4}

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).

Multiply and simplify:

x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

4 0
2 years ago
Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic
grigory [225]

<u>Answer:</u>

The maximum number of turkey sandwiches Ben could have sold is 6.

<u>Step-by-step explanation:</u>

We are given that turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand.

Given the information, we are to find the maximum value of turkey sandwiches Ben could have sold.

2 . 5 0 x + 3 . 5 0 y \leq 3 0

Number of veggie wraps sold (y) = 4

2.50x + 3.50(4) <   30

2.50x + 14          <   30

<u>           - 14               -14 </u>

2.50x                   <   16

x

x

The maximum number of turkey sandwiches Ben could have sold is 6.

4 0
2 years ago
Read 2 more answers
Two angles of a triangle measure 59° and 63°. If the longest side measures 28 centimeters, find the length of the shortest side.
Dmitrij [34]
Angles in a triangle ALWAYS equal 180 degrees, so 180-59-63= final angle (58 degrees) Then just use (Tan,Cos,Sin) with the angles to find the lengths, i can’t answer it as i don’t know what the triangle looks like
3 0
2 years ago
Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t
jasenka [17]

Answer:

a. 30%

b. $893.59

c.

\frac{(351.10-x)}{893.59}\times 100\%

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the  percent of the flooring bill that will go towards the cost of labor:

\%  labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

F_c=212.52+427.35+75\\\\=714.87

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59

Hence, she spends $893.59 on furniture.

c.To get what percentage of  furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

x+y=Furniture\  cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x

The percentage is then calculated as:

\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%

Hnece the percentage cost of the night stand is \frac{(351.10-x)}{893.59}\times 100\%

7 0
2 years ago
Translate and solve: fourteen less than n is greater than 98.
dangina [55]

Answer: 75

Step-by-step explanation: -14 + 98 =

6 0
2 years ago
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