Answer:
208⅓ ft²
Step-by-step explanation:
The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.
Calculate the width:
w = 80 × 1⅞
Convert the mixed number to an improper fraction = 80 × 15/8
Cancel the 8s = 10 × 15
= 150 in
Convert inches to feet = 150/12
Convert the improper fraction to a mixed number = (144 + 6)/12
= 12⁶/₁₂
Reduce the fraction to lowest terms = 12½ ft
Calculate the length
l = 80 × 2½ = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12
l = 16⁸/₁₂ = 16⅔ ft
Calculate the area
A = lw
A = 16⅔ × 12½
Convert the mixed numbers to improper fractions
A = 50/3× 25/2
Cancel the 2s
= 25/3 × 25
Multiply numerators and denominators
= 625/3
Convert the improper fraction to a mixed number
= (624 + 1)/3
= 208⅓ ft²
The area of Rachel's living room is 208⅓ ft².
Answer:
The slope of a line perpendicular to the line whose equation is 4x - 5y = 10 is -5/4.
Step-by-step explanation:
provided the equation;
4x- 5y=10.(let it be equation of line1 )
and the other line be line2
from perpendicularty principle
M1×M2= -1
BUT for M1(slope of line L1)
y= mx+c
where "c" is constant value.
"m" is slope.
therefore
5y= 4x - 10
(dividing by five throughout)
y=(4x/5) - 2
y= (4/5)x - 2
therefore M1= (4/5)
Returning back to our principle
M1×M2= -1
(4/5)M2=-1
<u>M2= -5/4</u>
Answer:
7.5
Step-by-step explanation:
It is longer than 5, so cross 2.5 and 5 out, 10 is too big, so 7.5 is the correct answer
<span>7v + 2w-12v</span>
= 7v-12v+2w
= 5v+2w
Nothing else we can to to this
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