Answer:
1
Step-by-step explanation:
The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the width of the door?
Answer:
The width of the door is 36 inches
Step-by-step explanation:
The given parameters are;
The given area of the door = 3024 in.²
The length of the door = 48 + The width of the door
Let W represent the width of the door
Therefore, we have;
The length of the door = 48 + W
The area of the door = The length of the door × The width of the door
∴ By substitution, the area of the door = 3024 = W × (48 + W)
3024 = W × (48 + W) = 48·W + W²
48·W + W² = 3024
∴ 48·W + W² - 3024 = 0
Rearranging, we get;
W² + 48·W - 3024 = 0
By trial and error, we have;
(W + 84)×(W - 36) = 0
Therefore, given that the width of the door is a natural number, we have;
The width of the door, W = 36 inches
4.1
Twenty two litres(22ltrs) of petrol cost R300. How much will
you pay for one litre of petrol
4.2
A car travels a distance of 330 km at an average speed of 110
km/h. How long does it take the car to travel this distance?
4.3
Calculate the amount that will be in the bank after 4 years if
R2000 was invested at 9% p.a. simple interest
Answer:
4.1 -
300/22= 13.65
so the answer is 13.63
4.2
distance/speed
330/110= 3
So it'll take 3 hours
4.3
sorry not sure for this one :(
4.1
Cost of 22ltrs of petrol = Rs300
Cost of 1ltr of petrol = 300/22
= 150/11
= Rs13.63
4.2
distance = 330km = d
speed = 110km/hr = s
time = d/s
= 330/110
= 33/11
= 3hrs
4.3
SI = principal amount × rate of interest × time
[tex] = 2000 \times \frac{9}{100} \times 4[/tex]
[tex] = 20 \times 9 \times 4[/tex]
[tex] = 720[/tex]
Amount = Principal + SI
= 2000 + 720
= Rs2720
how do i do xy=4
2x-y+2=0
i'm solving by substition
so I think the answer is very difficult ask to someone else
Step-by-step explanation:
xy=4
2x-y+2=0
What is the correct justification for the indicated steps?
Step C:
Step D:
Step E:
Answer:
Step C: distributive property
Step D: Tringonometric Sum Identity
Step E: Factoring
Step-by-step explanation:
The correct justification for the indicated steps:
Step C: distributive property Step D: Tringonometric Sum Identity Step E: FactoringThus, the Proof of de Moivre's Theorem is distributive property, Tringonometric Sum Identity and factoring.
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At noon, the temperature was 5 degrees Celsius. By late afternoon, it has risen 6 degrees Celsius. What was the temperature late in the afternoon?
Answer:
11 degress celcius
Step-by-step explanation:
there was an original 5 but it increased by 6
5 + 6 = 11
11 degrees celcuis
Answer:
11 degrees Celsius
Step-by-step explanation:
5+6=11
PLEASE HELP!!!!! PLEASE LOOK AT MY DOCUMENT AND HELP ME!!! I AM NOT UNDERSTANDING THIS AND I NEED TO GET MY GRADE UP!!
Identify a set of parallel and a set of perpendicular lines in this image.
Please helppp
Answer:
The third answer choice
Step-by-step explanation:
The two parallel lines are BF and CG the perpendicular are AD and BF because the first sets are side by side and the second sets cross each other at a certain point.
(b) Factorize: x2 - 49
Answer:
(x+7)(x-7)
Step-by-step explanation:
This one has the standard shape of a²-b², therefore its factorization is (a+b)(a-b).
Answer:
(x-7)(x+7)
Step-by-step explanation:
x^2 = x * x
-49 = -7 * 7
(x-7)(x+7)
Erick ordered 4 new DVDs by mail. Each costs the same amount and there
was an additional $5 shipping charge that brought the total to $33.
What was the cost of one DVD?
mil Movin at Mayfair, Zal bought a drink for
Answer: $7 each
Step-by-step explanation: 33-5=28 28/4=7
Please help ASAP!!!!
Answer:
is B
Step-by-step explanation:
Chris bought a $568.80 tv with a 40% markup, how much does the tv cost.
Answer: the answer is $796.32
Step-by-step explanation:
If 15% of x equals 20% of y, what percentage of x is y?
Answer:
Step-by-step explanation:15 % of x = 20%of y , 15 x =20 y , x÷y =20 ÷15 , let x =15 and y = 20 , y has 3÷4 amount of x ,
formulae for perimeter of a rhombus
Answer:
perimeter= 4a
a= sides
Which expression could you write to show how to multiply 9 x 856 using place vale and expanded form.
Solve v+8<3 or -8v-40 .
Give the function y=-5x+12, what is the output (y) when the input, x=-2?
Answer:
y=22
Step-by-step explanation:
y=-5(-2)+12
y=10+12
y=22
Which is the equation of the same line as y = 3x - 8?
A. 3x - 2y = 8
B.-3x - 2y = -8
C. 6x - y = 16
D. 6r - 2y = 16
Answer:
letter c. 6x-y=16
Step-by-step explanation:
Brian and Colin are marking exam papers. Each set takes Brian 40 minutes and Colin 1 hour. Express the times Brian and Colin take as a ratio.
Give your answer in its simplest form.
Answer:
2:3 in the simplest form
Step-by-step explanation:
40/60
2/3=2:3
Hamid has gained weight.
He now weighs 88kg, whish is higher than his normal weight
What is Hamid's normal weight?
Uhm I need help.. If I threw a ball vertically at an initial speed of 34.5 m/s, how many seconds would it take to reach its maximum height?
Answer:
3.8 seconds to reach the maximum height
Hope I helped have a nice day!:)
Step-by-step explanation:
3. 432 is divisible by (1 point)
O only 2.
O only 3.
O2 and 3.
Answer:
Only two and Three!
Step-by-step explanation:
423 is divisible by the prime number two!
423 divided by 2 is 216
432 is also divisible by three!!
432 divided by three is 141
The number 432 is divisible by 2 and 3 both as its unit digit is even and the sum of the digits is 9.
What is the divisibility rule?By the divisibility rule, we can determine whether numbers are divisible by some other numbers or not without dividing.
We know a number is divisible by 2 if its unit digit is even and a number is divisible by 3 if the sum of the digits is divisible by 3.
Given number is 432 unit digits even, therefore, it is divisible by 2,
and the sum of the digits is 9 so it is also divisible by 3.
learn more about divisibility rules here :
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True or false: Sequences of rigid motions can be applied to any type of polygon.
Answer:true
Step-by-step explanation:
find the roots of the equation (t+1)2 +(t-8)2=45
a.-5,-2 b.3,4 c. 5,2 d. 2,-3
t2 +2t+2+t2 _16t+64=45
2t2_14t+65=45
2t2_14t +20=0
(2t_4)(t_5)=0
t=2 t=5
answer is C.5,2
1. Identificamos los coeficientes a, la b y la c
a = 1 ( está al lado de
2
)
b = -8 ( está al lado de X )
c = 7 (término independiente)
Answer:
I don't speak Spanish I'm Sorry
bfmnbv help will give brainly
Answer:
tell your friend yall in zooooom
Step-by-step explanation:
Answer:
m=2
b=5
y=2x+5
Step-by-step explanation:
After taking typing lessons for three months, Johanna can type 285 words in five minutes. How many words can she type in 13 minutes?
Answer:
Hello,
-First find the unit rate, 285 divided by 5
since she can type 285 words in 5 minutes
the unit rate is 57 words per minute
-now multiply that by 13
57 times 13
741 words in 13 minutes
-Hope this helps
help will mark brainlist
five less than the product of seven and a number is the same as 13
Answer:
Step-by-step explanation:5-7+13
I need help I have 10 more minutes until this quiz ends plz help
Answer:
The second and the third one
Step-by-step explanation:
Answer:
Second, Third, and Sixth box
Step-by-step explanation:
The total number of people is 5 people if each person gets a ticket a popcorn, each price should be multiplied by 5 or the prices could be added then multiplied by 5.
So, the correct answers are:
5(5.50) + 5(3.25)
5(5.50 + 3.25)
5(5+3) + 5(0.50 + 0.25)
7 – d > 10 SHOW ALL WORK
Answer:
d < -3
Step-by-step explanation:
7 - d > 10
(-7) (-7)
-d > 3
(dived both sides by -1, when dividing or multiplying both sides by a negative number the inequality sign changes)
d < -3