Answer:
v See below. v
Step-by-step explanation:
LM = MN
11x - 21 = 8x + 15
x = 12
LM = 11(12) - 21 = 132 - 21 = 111
MN = 8(12) + 15 = 96 + 15 = 111
LN = 111 + 111 = 222
The Hewitt family is buying carpet for two rooms. The dining room is a square that measures 12 feet on each side. The den is 9 y
ards by 5 yards. Mrs. Hewitt has budgeted $2,650 for carpeting both rooms. The green carpet she is considering costs $42.75 per square yard, and the brown carpet’s price is $4.95 per square foot.
How much does it cost to do both rooms in green? $
How much does it cost to do both rooms in brown? $
How much does it cost to do the den in green and the dining room in brown? $
How much does it cost to do the den in brown and the dining room in green? $
How much does it cost to do both rooms in green? $
How much does it cost to do both rooms in brown? $
How much does it cost to do the den in green and the dining room in brown? $
How much does it cost to do the den in brown and the dining room in green? $
2 answers:
The Hewitt family is buying carpet for two rooms. The dining room is a square that measures 12 feet on each side. The den is 9 yards by 5 yards. Mrs. Hewitt has budgeted $2,650 for carpeting both rooms. The green carpet she is considering costs $42.75 per square yard, and the brown carpet’s price is $4.95 per square foot.
How much does it cost to do both rooms in green? $2,607.75
How much does it cost to do both rooms in brown? $2,717.55
How much does it cost to do the den in green and the dining room in brown? $2,636.55
How much does it cost to do the den in brown and the dining room in green? $2,688.75
<h3>Further explanation</h3>While the calculations for solving this problem are simple multiplication and addition, the path to finding the appropriate numbers on which to operate requires a high degree of organization. Students must attend not only to finding the various combinations that are possible, but they must also attend to the units in which the areas and prices are given. Students may choose to use only one unit of measure for the areas and prices, or they may use a combination.
By converts the carpet prices to match the area units of the rooms, we can know the costs.
Green: $42.75/yard^2 and $4.75 /ft^2
Brown: $44.55/yard^2 and $4.95/ft^2
Dining
Green: 114 ft^2 * $7.45/ft^2 = $684
Green: $684
Brown: 144ft^2*$4.95/ft^2 = $712.80
Brown: $712.80
Den
Green: 45yd^2 * $42.75/yd^2 = $ 1,923.75
Brown: 45 yd^2*$44.55/yd^2 = $2,004.75
Green: $1,923.75
Brown: $2,004.75
Total
Dining+Den
$684+$ 1,923.75 =$ 2,607.75
$684+$2,004.75= $2,688.75
$712.80+ $1,923.75= $2,636.55
$712.80+$2,004.75= $2,717.55
How much does it cost to do both rooms in green? $2,607.75
How much does it cost to do both rooms in brown? $2,717.55
How much does it cost to do the den in green and the dining room in brown? $2,636.55
How much does it cost to do the den in brown and the dining room in green? $2,688.75
<h3>Learn more</h3>- Learn more about yards brainly.com/question/1305187
- Learn more about square brainly.com/question/8688306
- Learn more about carpet brainly.com/question/3631637
Grade: 5
Subject: Math
Chapter: rooms
Keywords: yards, square, rooms, green, foot
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Answer:
35
Step-by-step explanation:
7 orchids can be lined as 7!. This means that for the first orchid of the line, you can select 7 options. When you place the first orchid, for the second option you can select among 6 since 1 orchid has already been placed. Similarly, for the 3rd orchid of the line, you have left 5 options. The sequence goes in this fashion and for 7 orchids, you have 7*6*5*4*3*2*1 possibilities. However, there is a restriction here. 3 of the orchids are white and 4 are levender. This means that it does not make a difference if we line 3 white orchids in an arbitrary order since it will seem the same from the outside. As a result, the options for lining the 7 orchids diminish. The reduction should eliminate the number of different lining within the same colors. Similar to 7! explanation above, 3 white orchids can be lined as 3! and 4 levender orchids can be lined as 4!. To eliminate these options, we divide all options by the restrictions. The result is:
= 35. [(7*6*5*4*3*2*1/(4*3*2*1*3*2*1)]