Answer:
I. L = 17 cm.
II. W = 11 cm.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 56cm
Translating the word problem into an algebraic expression, we have;
L = W + 6 .....equation 1
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
56 = 2(L + W) ......equation 2
Substituting eqn 1 into eqn 2, we have;
56 = 2(W + 6 + W)
56 = 2(6 + 2W)
Opening the bracket, we have;
56 = 12 + 4W
4W = 56 - 12
4W = 44
W = 44/4
W = 11 cm
Next, we would find the length of the rectangle;
From eqn 1;
L = W + 6
L = 11 + 6
L = 17 cm
What common ratio would cause a geometric series to converge
Answer:0
Step-by-step explanation:
The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0
Select all of the equations that are equivalent to 3 x − 12 = 19
A 3x-12=19
B 3x=7
C 3x=31
D 3x+31=0
E 5x-12=2x+19
F x-4=(19/3)
Answer:
X=2
Step-by-step explanation:
x
=
−
2
Explanation:
Collect terms in x on the left side of the equation and numeric values on the right side.
add 3x to both sides.
5
x
+
3
x
+
12
=
−
3
x
+
3
x
−
4
⇒
8
x
+
12
=
−
4
subtract 12 from both sides.
8
x
+
12
−
12
=
−
4
−
12
⇒
8
x
=
−
16
To solve for x, divide both sides by 8
8
x
8
=
−
16
8
⇒
x
=
−
2
As a check
Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.
left side
=
(
5
×
−
2
)
+
12
=
−
10
+
12
=
2
right side
=
−
(
3
×
−
2
)
−
4
=
=
6
−
4
=
2
⇒
x
=
−
2
is the solution
Answer:
b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19
what is 7/9 divided by 1/3?
Answer:
7/3 or 21/9 or 2.3 repeated
Step-by-step explanation:
Answer: 7/3
Step-by-step explanation
[tex]\frac{7}{9}/\frac{1}{3} = \frac{7}{9}*\frac{3}{1}= 21/9=7/3[/tex]
Keep change flip. Keep 7/9 change multiply to divide flip 1/3 to 3.
A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet
Let H(x) represent a parabolic function with the height of the diver above water in terms of her horizontal distance
write a function to graph
of" (and any subsequent words) was ignored because we limit queries to 32 words.
Rewrite 19/8 as a mixed number.
Answer: 2 3/8
I got an A
Answer:
2 + 3/8
Step-by-step explanation:
Therefore we get 19 / 8 = 2 + 3/8 , which is written as 2 3/8 , called a mixed number. To convert 19/8 you do division; 8 into 19 goes 2 times with 3 left over; so 2 3/8.
Bank account A starts with $5,000 and grows by $1,000 each week. Bank account B starts with $1 and doubles each week.
1.which account has more money after one week?After two weeks?
Answer:
AStep-by-step explanation:
If bank A keeps adding on 1,000 and bank B is only doubling by 2 then A is much greater than B.
The account that has more money after one week is account A.
The account that has more money after two weeks is account A
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Account A:
Balance = $5000
Each week increase = $1000
Amount after one week.
= 5000 + 1000
= 6000
Amount after 2 weeks.
= 6000 + 1000
= 7000
Account B:
Balance = $1
Each week's increase = doubles the amount
Amount after 1 week.
= $2
Amount after 2 weeks.
= $4
Thus,
Account A has more money after one week.
Account A has more money after two weeks.
Learn more about expressions here:
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(Write your answers on the space provided) The World Health Organization (WHO) reported that about 16 million adolescent girls between 15 and 19 years of age give birth each year. Knowing the adverse effects of adolescent childbearing on the health of the mothers as well as their infants, a group of students from Magiting High School volunteered to help the government in its campaign for the prevention of early pregnancy by giving lectures to 7 Barangays about the WHO guidelines on teenage pregnancy. The group started in Barangay 1 and 4 girls attended the lecture. Girls from other barangays heard about it, so 8 girls attended from Barangay 2, 16 from Barangay 3, and so on. a. Make a table representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7 assuming that the number of attendees doubles each Barangay 4 3 5 6 2 7 1 Barangay Number of Attendees b. Form a sequence representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7. C. Because people who heard about the lecture given by the group thought that it would be beneficial to them, five more different barangays requested the group to do the lectures for them. If the number of young girls who will listen to the lecture from these five Barangays will increase in the same manner as that of the first 7 Barangays, determine the total number of girls who will benefit from the lecture.
The sequence of the number of girl attendees at each Barangay is nonzero, given by multiplying the number of attendees in the previous Barangay by 2
The required values are;
a. The completed table is presented as follows;
[tex]\underline{\begin{array}{|l|c|c|c|c|c|c|c|}\mathbf{Barangay}&1&2&3&4&5&6&7\\\mathbf{Number \ of \ attandees}&4&8&16&32&64&128&256\end{array}}[/tex]
b. The sequence of the number of girls attendees aₙ = 4×2⁽ⁿ⁻¹⁾
c. The sum of beneficiaries of the lecture from the twelve Barangay is 16,384 girls
Reason:
Known parameters are;
Number of girls that attended the lecture at Barangay 1 = 4 girls
Number of girls that attended from Barangay 2 = 8 girls
Number that attended from Barangay 3 = 16 girls
a. The required table with the assumption that the number of girls that attended at each Barangay from Barangay 1 to Barangay 7 doubles, is presented as follows;
[tex]\begin{array}{|l|c|c|c|c|c|c|c|}Barangay&1&2&3&4&5&6&7\\Number \ of \ attandees&4&8&16&32&64&128&256\end{array}[/tex]b. The sequence of the number of girls who attended the lecture from Barangay 1 to Barangay 7 is presented as follows;
The sequence is a geometric progression having the form, aₙ = a·r⁽ⁿ⁻¹⁾
The first term of the sequence, a = 4
The common ratio, r = 2 (each term is twice the previous term)
n = The number of terms
The sequence is therefore;
aₙ = 4·2⁽ⁿ ⁻ ¹⁾c. The total number of girls in the geometric progression, (G. P.) is given by the sum of a G. P. as follows
[tex]S_n = \dfrac{a \cdot (r^n - 1 )}{r - 1}[/tex]
Where;
n = The number of terms = 7 + 5 = 12
Which gives;
[tex]S_{12} = \dfrac{4 \times (2^{12} - 1 )}{2 - 1} = \dfrac{4 \times 4,096 }{1} = 16,384[/tex]The total number of girls who will benefit from the lectures, S₁₂ = 16,384 girls
Learn more about geometric progression here:
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Express the relation below as a set of order pairs
(-3,9) (1, 1)
Step-by-step explanation:
Question 2 options:
If Mike left his home at 8:00 am, what time did he return home?
Question 3 (1 point)
Compare the time between Mike going to his destination and arriving home from his destination. (Include time units in your answer.)
Question 4 (1 point)
Graph - Mike's Day Off
Write a graphing story about "Mike's Day Off'.
Be sure to explain what is happening during each interval
Washing his dad's car alone, Aidan takes 6 hours. If his dad helps him, then it takes 2 hours. How long does it take Aidan's dad to wash the car by himself?
Answer:
Step-by-step explanation:
If he washes his dads car alone it takes 6hrs, If his dad helps him it takes 2hrs.
6-2= 4
4hrs?
I dont understand the question lol.
2x=16−2 Value of x ?
Answer:
x = 7
Step-by-step explanation:
2x = 16 - 2
2x = 14
x = 14 / 2
x = 7
Answer:
[tex]\sf\longmapsto \: x = 7[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 16 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 14[/tex]
[tex]\sf\longmapsto \: x = \frac{14}{2} [/tex]
[tex]\sf\longmapsto \: x = 7[/tex]
Whats the answer to this question? ( Branliest )
Answer:
50
Step-by-step explanation:
p = 8
q = 6
p / 4
= 8 / 4
= 2
pq
= 8 x 6
= 48
p / 4 + pq
= 2 + 48
= 50
50
Hope this helped you- have a good day bro cya)
type Yup Nope Ok ook LaLOqA and win Brainliest
Answer:
Yup Nope Ok ook LaLOqA
Step-by-step explanation:
I just need more brainliest loll
Answer:
Yup Nope Ok ook Lal OqA
Step-by-step explanation:
Due Today Please help Fast
Which expression shows 20+24 with 4 as a factor of each term?
(2.5) + (2.6)
2 + (5.6)
(2.10) + (2.12)
2 + (10.12)
(2 · 10) + (2 · 12)
Step-by-step explanation:
20 + 24
= (2 · 10) + (2 · 12)
proof :
20 + 24 = 44
(2 · 10) + (2 · 12)
= 2(10 + 12)
= 2(22)
= 44
what is 5 +10 - 20 x 4
Answer:
-65 is the right answerrr
What is 11,885 as a percentage (round to 2 decimal places X.XX)?
Answer:
9.25
Step-by-step explanation:
Evaluate the equation: 3.6/e = 1.2
hopefully this is correct..
it's either e = 1/3 or 3
Answer:
1/3 or 3^-1
Step-by-step explanation:
please mark me as brainlest
Which equation can be used to find the missing leg in the triangle?
a2 + 202 = 162
202 + 162 = a2
a2 + 162 =202
16 + a2 = 20
Answer:
the person above me is correct C
Step-by-step explanation:
or a(2 + 16(2 = 20(2
The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
The triangle is missing the b leg,
And, Two sides are,
c = 20 and a = 16
Hence, By using Pythagoras theorem we get;
⇒ a² + 16² = 20²
Thus, The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
Learn more about the Pythagoras theorem visit:
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Complete question is this,
Which equation can be used to find the missing leg in the triangle?
a² + 20² = 16²
20² + 16² = a²
a² + 16² =20²
16 + a² = 20
p.s the triangle is missing the b leg, and c=20 and a=16
You buy a new computer for $1.500. The value of the computer decreases by 6% every yearHow much is the computer worth after 4 years?
a. $1,171.05
b. $1,225.35
c. $1,008.50
d. $999.80
Answer:
A. $1171.05Step-by-step explanation:
1500 × (1-(6 / 100))⁴
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Answer:
b. $1,225.35
Step-by-step explanation:
A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
Enter your answer as a simplified mixed number by filling in the boxes.
Answer:
-3 1/8 Gallons
Step-by-step explanation:
First, you need to understand how many gallons are being lost per minute.
14 2/3 - 16 3/4 =1 1/12
After this, you just need to multiply 1 1/12 by 1 1/2. This amounts to 3 1/8.
There's your answer!
Answer:
the other guy who answered is correct aswell.
The answer is - 3 1/8
need proof? here ya go-
Mia has 12 boxes of cookies. Each box contains 36 cookies. She has another 258 cookies in the pantry. How many cookies does she have in all?
690
696
960
966
Answer:
A) 690
Step-by-step explanation:
12x36 + 258 = 690
Helppppppppppppp need it now
Answer:
got
submited
showed
arrived
already filled
Step-by-step explanation:
A. 23.7
B. 8.7
C. 13.8
D. 9.5
Answer:
a
Step-by-step explanation:
just cuzyfhyf
Solve the equation x - 2y = 1, for y
Answer:
[tex]\displaystyle y = \frac{x - 1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle x - 2y = 1[/tex]
Step 2: Solve for y
[Subtraction Property of Equality] Subtract x on both sides: [tex]\displaystyle -2y = 1 - x[/tex][Division Property of Equality] Divide -2 on both sides: [tex]\displaystyle y = \frac{1 - x}{-2}[/tex]Rewrite: [tex]\displaystyle y = \frac{x - 1}{2}[/tex]Why does that answers show sometimes but not all the time
Answer:
Don’t be lame
Step-by-step explanation:
Cheaters are lame
Answer:
thats because of brainly ads, if u don't want the brainly ads u have to get premium.
Step-by-step explanation:
A park has a grassy section that covers 2 1/3 acres. Denny mowed half of the grassy section. What is the number of acres that Danny mowed?
Answer:
7/6 (1 1/6)acres
Step-by-step explanation:
The grassy section covers 2 1/3 acres overall. To find half of that, we divide it by two because half of an amount or object is one of the two equal parts that together make up the whole amount or object.
To turn a mixed number (in this case, 2 1/3) into an improper fraction, multiply the whole number with the denominator of the proper fraction.
2*3 = 6Add the numerator to this product to obtain the numerator of the improper fraction.
6 + 1 = 7
so the improper fraction is 7/3
then we multiply that fraction by 1/2 because we are trying to find half of the overall section
7/3 * 1/2 = 7/6
During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind
Answer:
the helicopter would go up and backwards
Please Help giving 18 points
Answer:five inches
Step-by-step explanation:
Have a great day
QUICK!!
Which equation represents the relationship shown in the graph??
Answer:
y=1/2x
Step-by-step explanation:
Look at the graph, all you need is the first point.
Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x
One dozen eggs equals 12 eggs. How many dozens of eggs equals 1,896 eggs?
A.133 dozen eggs
B. 158 dozen eggs
C.158 dozen eggs
D. 696 dozen eggs
Answer: B: 158 dozen eggs
Step-by-step explanation:
If one dozen eggs is 12, and you need to know how many groups of 12 go into 1896, all you need to do is divide 1896 by 12 to get 158. I hope this helps!
Answer:
C
Step-by-step explanation:
Divide 1896 by 12 and you get 158