Answer: The original rectangle was 15 inches by 6 inches
=============================================================
Explanation:
L = original lengthW = original widthLet's make the length longer than the width, so L = W+9 since we're told that one side is 9 inches longer than another.
The area of this rectangle is
Area = length*width
A = L*W
Through substitution, we can replace L with W+9
A = (W+9)W
A = W^2 + 9W
We'll come back to this later.
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Now let's decrease the longer side L by 5 inches to get L-5. At the same time, we'll increase the shorter side W by 3 to get W+3.
The new rectangle is (L-5) inches by (W+3) inches which leads to the area of...
A = (length)*(width)
A = (L-5)*(W+3)
A = (W+9-5)*(W+3) .... L replaced with W+9
A = (W+4)(W+3)
A = W^2 + 3W + 4W + 12 .... FOIL rule
A = W^2 + 7W + 12
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We found these two area expressions
W^2 + 9WW^2 + 7W + 12We're told that the two areas (of the original and new rectangle) are equal to one another. Set them equal to each other and solve for W
W^2 + 9W = W^2 + 7W + 12
9W = 7W + 12 ............ subtracted W^2 from both sides
9W-7W = 12
2W = 12
W = 12/2
W = 6
The original width is 6 inches
L = W+9 = 6+9 = 15
The original length is 15 inches
The original area is L*W = 15*6 = 90 square inches
The new rectangle has side lengths of (L-5) = (15-5) = 10 inches and (W+3) = (6+3) = 9 inches. Then note how the area of this new rectangle is 10*9 = 90 square inches to match the other area. This helps confirm we have the correct answer.
Answer:
15 by 6
sorry i dont know how to do it
Help me please :)....
Answer:
a = 6, b = 12, c = 18, d = 12
Step-by-step explanation:
2(2b+2cd)
(2+b) (2a+7)
Step-by-step explanation:
The answer to the first one is: 4cd+4b.
The answer to the second one is: 2ab+4a+7b+14
(I'm assuming that you want to simplify)
3/4÷5 y multiplica el resultado por 4
Answer:
[tex]0.6[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} / 5 = 0.15[/tex]
[tex]0.15[/tex] x [tex]4[/tex] = [tex]0.6[/tex]
Hope I helped! Check out my profile for more answers!
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Can you write a 5 sentence summary about the substitution method?
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?
Answer:
Step-by-step explanation:
we will set up two equations:
let c be candy
let m be mints
3c+2m=10.80
c+3m=5.35, c=5.35-3m
3(5.35-3m)+2p=10.80
c=3.10
m=0.75
Let x be the cost of candy per pound and y be the cost of mint per pound.
[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]
Rewrite the second equation for substitution:
x = 5.35 - 3y
Substitute the equation above into the first equation:
3(5.35 - 3y) + 2y = 10.80
16.05 - 9y + 2y = 10.80
-7y = -5.25
7y = 5.25
y = 0.75
∴ The price of mint per pound is $0.75.
Will mark brainliest for whoever answers correctly
Step-by-step explanation:
r = 3 √ 3V / 4π
is the correct answer of this question .
Solve the following system of equations
3x-3y=4
-3x+3y=3
Answer:
Step-by-step explanation:
1. Elimination
2. zero solutions
0 ≠ 7
Mason’s mom bought g games online. The games cost $12 each plus a $7 shipping fee.write an equation.
Answer:
f(x) = 12x + 7
Step-by-step explanation:
easy
Answer:
12g + 7 = total price
Step-by-step explanation:
Find the area of the similar
figure.
20cm
25cm
Area = 320cm2 Area = [?]cm2
Given:
Base of smaller figure = 20 cm
Area of smaller figure = 320 cm²
Base of the larger figure = 25 cm
To find:
The area of the larger figure.
Solution:
We know that the areas of the similar figure are proportional to the square of corresponding sides of them.
Let A be the area of the larger figure.
[tex]\dfrac{\text{Area of the larger figure}}{\text{Area of the smaller figure}}=\dfrac{(\text{Base of the larger figure})^2}{(\text{Base of the smaller figure})^2}[/tex]
[tex]\dfrac{A}{320}=\dfrac{(25)^2}{(20)^2}[/tex]
[tex]\dfrac{A}{320}=\dfrac{625}{400}[/tex]
[tex]\dfrac{A}{320}=\dfrac{25}{16}[/tex]
Multiply both sides by 320.
[tex]A=\dfrac{25}{16}\times 320[/tex]
[tex]A=500[/tex]
Therefore, the area of the larger figure is 500 cm².
The cost of a car rental is $30 per day plus 23 cents per mile. you are on a daily budget of $76 . You can drive at most how many miles per day
Answer:
200 miles
Step-by-step explanation:
y=0.23x+30
76=0.23x+30
46=0.23x
x=200
126=i/6 what operation would I use and how would I solve it
Answer: Multiply 6 by 126 which gives 756
Step-by-step explanation: Picture it like a triangle. i is over six so it's going to by at the top of the triangle. This leaves one empty space where 126 goes. This method makes it easier for me when dealing with a question like this. The two numbers that multiply together will always go at the bottom while the numerator of the fraction (i in this case) will be at the top.
Answer: I=756
Step-by-step explanation: hope this help :D
Let's solve your equation step-by-step.
126=i/6
Step 1: Multiply both sides by 6.
126=i/6
(126)*(6)=(i/6)*(6)
756=i
Step 2: Flip the equation.
i=756
Answer:i=756
When asked to write the prime factorization of 175, a student wrote 7 dotmath 25. Complete the explanation of the error and enter the correct answer.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
[tex]175=7\times 5\times 5[/tex]
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
My brain isn't working today, help me out pls :)
Complete the equation of the line whose slope is −2 y-intercept is (0,3)
Answer:
y=-2x+3
Step-by-step explanation:
hope this helps
Answer:
y = -2x + 3
Step-by-step explanation:
So you want to put it in the form y = mx + b where m is the slope and b is the y-intercept (an example of an equation in this form is y = 2x + 1).
It tells you that the slope is -2 and the y-intercept is at y = 3, so the equation would be:
y = -2x + 3
9^6 * 9^3 =
Give the answer in exponent form
Step-by-step explanation:
1,983593e11
Answer:
9^18
Step-by-step explanation:
Since the bases are the same digit, all you have to do is multiply the exponents to get your answer
Write the ratio 1/4 km 2/3 km in the simplest form
Step-by-step explanation:
the ratio is given above
Step-by-step explanation:
the ratio is given above
Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x
Answer:
B
Step-by-step explanation:according to my calculations it’s b
The solution is, Option B. f(x) = One-half(3)x.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
from the given graph we get,
The function in the graph is an exponential growth function.
Therefore its equation is g(x)= 3^x
A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where
0<k<1
From the given options, we must have
k=1/2
This implies that:
f(x)= 1/2 * 3^x.
Hence, The solution is, Option B. f(x) = One-half(3)x.
To learn more on exponent number click:
brainly.com/question/19467739
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Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23
Answer:
84 x is your answer right answer right
what are the different methods in finding the LCM
Answer:
4 methods are there
Step-by-step explanation:
Find the prime factorization of each number.Write each number as a product of primes, matching primes vertically when possible.Bring down the primes in each column.Multiply the factors to get the LCM.please mark me as brainlist
A population of 30 sasquatch is released in a wildlife region. The population doubles each year for 4 years. What is the population after 4 years?
Answer:
480 sasquatch
Step-by-step explanation:
Year one: 30 x 2 = 60 sasquatch
Year two: 60 x 2 = 120 sasquatch
Year three: 120 x 2 = 240 sasquatch
Year four: 240 x 2 = 480 sasquatch
Answer:
480
Step-by-step explanation
The price of a plain bowl plus the price
of
extra ingredients equals $
Answer:3,13
Step-by-step explanation:the price of the bowl is 10$ then you add 3 extra ingredients for a dollar each 10+3=13
Answer:
3,13
Step-by-step explanation:
find the quotient. -105/15=
Answer:
-7
Step-by-step explanation:
Hope this helped! :)
A bowling ball travels along the lane at a constant rate. The ball travels ⅟₁₀ of the length of the lane in ¼ seconds. At that rate, how many seconds does it take the ball to travel the entire length of the lane?
Answer:
2 1/2 seconds
Step-by-step explanation:
10×1/4=10/4=21/2 seconds
Help Please is the answer zero? I’m not good with algebra
Answer:
should be 0 because it isnt increasing or decreasing
[tex]tan(0)=\frac{5\sqrt{20} }{11}[/tex]
Answer:
0.035°
Step-by-step explanation:
We need to find the value of [tex]\theta[/tex] for the given expression. So,
[tex]\tan\theta=\dfrac{5\sqrt{20}}{11}[/tex]
or
[tex]\theta=\tan^{-1}\tan\left(\frac{5\sqrt{20}}{11}\right)\\\\=-2.0083\ radian[/tex]
Or we can write as :
[tex]\theta=0.035^{\circ}[/tex]
So, the value of [tex]\theta[/tex] is equal to 0.035°.
Choose all the ways the ratio of five girls to 9 boys can be written. the options are
9:5
9 to 5
5:9
5 to 9
5/9
9/5 i need helppp im so confused.
Answer:
5/9
5 to 9
5:9
hope this helps <3
Answer:
5/9,
5:9,
and 5 to 9
The moving of the orientation or position of an angle changes the measurement of the angle. True or false
Answer:
the correct answer is true
Answer:
I believe this is true!
Hope that helps!
Alfredo's bank charges an $8 service fee each month if his account goes below $500. In June, Alfredo had $510 in his account. He withdrew $25 and then did not have any transactions in his account for 6 months. a. Write as an integer the amount by which Alfredo's bank balance changed during the six months.
Answer:
$48
Step-by-step explanation:
Given that he is charged $8 service fee each month if his account goes below $500. If he has $510 and withdraws $25 the amount in account would be
= $510 - $25
= $485
This is below $500 hence he will be charged $8
Since he did not have any transactions in his account for 6 months, the change in his account as a result of the monthly charge
= 6 * $8
= $48
The graph shows thar video sales at Bart's are nost often.
a- more than 400
b- less than 300
c- less than 100
d- more than 300
Answer:
The answer is b
Less than 300
Kevin is sowing seeds in the flower beds of his garden. He sowed 30% of the flower beds in 15 minutes. How much longer will it take him to sow the rest of the field?
how much is 28 yards in feet
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
HAVE A GOOD DAY!
Brainliest????