Answer:
Step-by-step explanation:
Here are two rectangles.
B
A
The length of rectangle B is 25% greater than the length of rectangle A.
3
The width of rectangle B is three fifths x the width of rectangle A.
Find the fraction of area of rectangle b over area of rectangle a
Give your answer in its simplest form.
Answer:
[tex] \frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}[/tex]
Step-by-step explanation:
Let the length of rectangle A be x units.
So, length of rectangle B
= x + 25% of x
= x + 0.25x
= 1.25x
Let the width of rectangle A be y units
So, Width of rectangle B
[tex]= \frac{3}{5}\times x\\
=0.6x [/tex]
Area of rectangle A = xy
Area of rectangle B
= 1.25x * 0.6y
= 0.75xy
[tex] \frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{xy}{0.75xy}\\\\
\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{1}{0.75}\\\\
\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{100}{75}\\\\
\red{\bold{\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}}} \\\\[/tex]
PLEASE HELP! Caleb is making lemonade and cookies. He has 10 cups of sugar. He needs 2 cups for lemonade. Each batch of cookies uses 1.5 cups of sugar. What is the maximum number of batches he can make?
A sailor is allowed 7 days off for every 30 days at sea. For 28 days off, how many days at sea must the sailor spend?
Answer:
120 days
Step-by-step explanation:
7 days off x 4 days off = 28 days off, so you have to multiply 30 x 4 which equals 120
10 10 points
At a restaurant you meal is $20. In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip. What is the total
bill?
A ticket to see your favorite baseball team costs $43.76. That price decreases by $0.33 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses games. What is the price of a ticket after the team loses games?
Answer:
C=$0.33L-$43.76
I hope this is good enough:
Find the solution if x=6, y=8, and z=3
2x + 3y - z
Answer:
33
Step-by-step explanation:
2(6) + 3(8) - 3
12 + 24 + - 3 = 33
Answer:
33
Step-by-step explanation:
2(6) +3(8) -3
Laurie wants to put a portable cellular phone mini-tower on her roof. the tower cannot be placed higher than 30 feet. the slant of the roof can be represented by the equation r(x)=-1/4|x|+60. If her house is 40 feet wide where could she place the tower? Explain
Answer:
on the ground
Step-by-step explanation:
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answer:
Option (6). HL
Step-by-step explanation:
Given:
From the right triangles ΔBAC and ΔBDC,
AC ≅ CD
∠A = ∠D = 90°
To Prove:
ΔBAC ≅ ΔBDC
Statements Reasons
1). AC ≅ DC 1). Given
2). BC ≅ BC 2). Reflexive property
3). ΔABC ≅ ΔBDC 3). By HL property of congruence of right triangles
Therefore, Option (6) HL will be the correct option.
7x - 4 + x = -1 + 13x + 7
Show work
Answer:
7x-4+x=-1+13x+7
8x-4=13x+6
add 4 to both sides
8x-4+4=13x+6+4
8x=13x+10
subtract 13x from both sides
8x-13x=13x+10-13x
-5x=10
divide both sides by -5
-5x÷-5=10÷-5
x=-2
I hope this is good enough:
why is it helpful to write numbers in different ways?
Answer:
Knowing how to write numbers in different ways can help you solve complex problems more easily.Doing this can also reinforce the mathematical principles and logic you have memorised.
express 1 as a percent
Answer:1 the answer would be 1%
Step-by-step explanation:
Answer:
1%
Step-by-step explanation:
divide 1 by 100 then get the answer
ncela ipipi lami ;)
btw im this users brother
Answer:
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Step-by-step explanation:
how do you find the y-intercept of a table
Answer:
make x zero
Step-by-step explanation:
make x zero
then solve for Y
Is 0z=2 no solution?
Answer:
No
Step-by-step explanation:
What number would go in the blank? 4 x 6 = 6 x ___
6
4
10
Answer:
4
Step-by-step explanation:
4 x 6 = 6 x 4
Answer the following question showned:
Answer:
A: CX and XW= 25 B: BY XY= 36
C: AX AZ= 9
Step-by-step explanation:
y+2=−3(x−4)= whats the missing equation
A $20.00 pair of jeans is discounted 20%. What is the final price of the jeans?
Answer:
It should be 4 dollars I believe
Step-by-step explanation:
Answer:
It is given that a $20.00 pair of jeans is discounted 20%. We need to find the final price of the jeans. Therefore, the final price of the jeans is $16.00
Final price of the jeans = 20 - 20% of 20
Therefore, the final price of the jeans is $16.00.
An election campaign organizer bought 20,000 buttons to hand out for a candidate. The organizer handed out 14,000 of the buttons before receiving the next shipment of 15,500 buttons. On the day of the election, the organizer handed out another 18,250 buttons. How many buttons were left after the election?
Answer: 3,250
Step-by-step explanation:
Jerry purchases a used sofa for $275. He cleans and reupholsters the sofa to make it look brand new. After all the improvements, Jerry sells the sofa for 40% more than what he originally purchased it for. What was the profit Jerry made after selling the sofa?
Answer:
$110Step-by-step explanation:
Step one:
we are told that the cost of the sofa is $275
also, he sells it for 40% more of the cost price
let us find 40% of $275
=40/100*275
=0.4*275
=110
=$110
Step two:
This means that the selling price is 275+110
=$385
profit = selling price- cost price
profit=385-275
profit=$110
use the figures below to answer parts A and B
Answer: 7 is 3216.99cm²
7 part b is 24.31 rounded the answer is 24.
Given the horizontal lines are parallel, find the value of x and y in the pic below
Answer:
The answer is 15 and 10
Step-by-step explanation:
What is this answer?
Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5
Answer:
0+5=5
Step-by-step explanation: If u add nothing then it stays like that
Answer:
5
Explanation:
I'm a goat so I know everything
Jackie played the drums in the band. If he beat the drum at a rate of 110 beats per minute, how many beats would he play in minutes?
Answer: 110
Step-by-step explanation:
Answer:
in 2 minutes he would play 220 beats
Step-by-step explanation:
Find the product of 2r^2(6r^3+14r^2-30r+14)
Answer:
12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²
Step-by-step explanation:
a(b ± c) = ab ± ac (distributive property)
[tex]a^{m} * a^{n} = a^{m+n}[/tex]
2r²(6r³ + 14r² - 30r + 14) = 12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²
Answer: 2r2(6r3+14r2−30r+14)
Step-by-step explanation:
Apply the distributive property
2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14
Simplify
2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2
Simplify each term
12r5+28r4−60r3+28r2
If these numbers represent elevations in meters, which is the farthest away from sea level?
Answer:
Option (1)
Step-by-step explanation:
Minus notation of the elevations from the sea level represents the distance below the sea level and positive notation represents the elevations above the sea level.
+7 → 7 meters above the sea level
-3 → 3 meters below the sea level
[tex]+\frac{1}{2}[/tex] → 0.5 meters above the sea level
-0.8 → 0.8 meters below the sea level
+0.8 → 0.8 meters above the sea level
[tex]-\frac{1}{10}[/tex] → 0.1 meters below the sea level
-2 → 2 meters below the sea level
Therefore, +7 meters above the sea level will be the farthest point from the sea level.
Option (1) will be the answer.
Helppppppppppppppppppppppppp
Pls answer this , and thank you
Answer:
A
Step-by-step explanation:
Find the length of the shorter leg of a right triangle if the longer leg is 15 feet more than the shorter leg and the hypotenuse is 15 feet less than twice the shorter leg
Answer:
45
Step-by-step explanation:
Let the length of the shorter leg be represented as x.
Let the length of the longer let let be represented as x+15
While the length of the hypotenuse be 2x-15.
From the knowledge of phythagoras theorem:
x^2+(x+15)^2 = (2x-15)^2
x^2+x^2+15x+15x+225 = 4x^2-30x-30x+225
2x^2+30x+225 = 4x^2-60x+225
2x^2-4x^2+30x+60x+225-225=0
-2x^2+90x+0= 0
2x^2-90x = 0
Divide through by 2
x^2-45x=0
x(x-45)=0
x = 0 or x-45=0
Considering x-45=0
x-45=0
x = 45
If x is for the shorter leg,
The length for the longer leg is: x+15
= 45+15
= 60
For the hypotenuse = 2x-15
= 2×45-15
= 90-15
= 75