Answer:
8ft x 6ft
Step-by-step explanation:
For this problem, we want to create measurements of length and width that double our current area. First we need to find the current area.
C_Length = 6 ft
C_Width = 4 ft
C_Area = C_Length * C_Width
C_Area = 6 ft * 4 ft = 24 ft^2
Now we want our new area to be double the old area.
N_Area = 2C_Area
N_Area = 2 * 24 ft^2
N_Area = 48 ft^2
Now we simply need to find the increase in width and length, distributed equally, that will create the new area.
N_Area = (C_Length + x) * (C_Width + x)
Where x is the amount that each variable is increased by to create the new area.
Now we simply solve for x.
N_Area = (C_Length + x) * (C_Width + x)
48 = (6 + x) * (4 + x)
48 = 24 + 10x + x^2
0 = -24 + 10x + x^2
Now we can either apply the quadratic formula or attempt to factor using the constant break down method.
(x + 12) (x - 2) = 0
x = -12; x = 2
Note that we will choose x = 2 since the other option would require us to have negative material, which is impossible.
Now we can check to validate our answer by plugging in the value of x.
48 ?= (6 + 2) * (4 + 2)
48 ?= (8) * (6)
48 == 48
Thus, we have found the dimensions of the new aquarium, 8ft x 6ft.
Cheers.
For the transformation T, write the T-1. T: (x, y) ( 2x, y + 5) T -1 (x, y) (x - 2, y - 5) (2x - 1, y + 4) (½x, y - 5)
=====================================
Explanation:
The original transformation (2x, y+5) takes any x value and doubles it. So the inverse of this is to cut the x value in half. We can say x/2 since division is the opposite of multiplication. The value x/2 is the same as ½x
For the y coordinate, we add on 5 for the original transformation. Subtraction undoes addition meaning the inverse will have y-5.
Side note: the inverse notation [tex]T^{-1}[/tex] can be written as T^(-1).
Jon borrows 5.50 from his friends to pay for snacks, and 12.75 from his sister to go the movies. How much does he need to repay
Answer:
18.25
Step-by-step explanation:
Add 5.50 and 12.75
5.50 + 12.75 = 18.25
Answer: 18.25
Step-by-step explanation:
What is the range of the function?
4
3
4
16
O A. (2, 4, 9.16)
B. {1,2)
O C. (1,2,3,4)
O D. {1, 2, 3, 4, 9, 16)
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Answer:
B) 1,2
Step-by-step explanation:
280 in standard form
Answer:
it is already in standard form
Step-by-step explanation:
Answer:
2802.8×10²Step-by-step explanation:
The first form above is "standard form" in the US.
The second form above is "standard form" in the UK.
What is the solution to this system of equations?
x + y = 6
x = y + 4
A: (11/2, 1/2)
B: (21/2, 11/2)
C: (5, 1)
D: (1, 5)
Answer:
(5, 1) (Answer C)
Step-by-step explanation:
Note that the second equation features x as a function of y: x = y + 4. We can substitute y + 4 for x in the first equation, obtaining:
y + 4 + y = 6
and then, after we combine like terms,
2y = 2, or y = 1.
x = y + 4, subbing 1 for y here results in x = 1 + 4, or x = 5
The solution is (5, 1) (Answer C)
There are 12 inches in 1 foot. And there are 3 feet in 1 yard. How many inches are there in 1 yard.
Answer:
36 inches
Step-by-step explanation:
1 yard = 3 feet = 3*12 inches = 36 inches
1 yard = 36 inches
A pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute. A second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. After how many minutes will the pools contain the same amount of water?
At time t, the first pool contains 50+2.3t gal of water, while the second pool contains 102.2-3.5t gal.
They contain the same amount of water when these quantities are equal:
50 + 2.3t = 102.2 - 3.5t
5.8t = 52.2
t = 9
so the pools have the same amount of water after 9 min have passed.
The pools will contain same amount of water in 9 minutes
Let the number of minutes that the pools contain the same amount of water be represented by t.
Since the first pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute, then this will be:
= 50 + (2.3 × t)
= 50 + 2.3t ......... equation i
The second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. This will be:
= 102.2 - (3.5 × t)
= 102.2 - 3.5t ........ equation ii
Equate both equations and this will be:
50 + 2.3t = 102.2 - 3.5t
Collect like terms
2.3t + 3.5t = 102.2 - 50
5.8t = 52.2
Divide both side by 5.8
5.8t/5.8 = 52.2/5.8
t = 9
In conclusion, they'll have same amount of water in 9 minutes
Read related link on:
https://brainly.com/question/13114694
name the four U.S cultiral regions
Answer:
(Northeast, South, Midwest, and West) hope is the right answer
Answer: The Northeast, Southwest, West, Southeast, and Midwest
Step-by-step explanation:
whch expression could be used to change 8 kilometers per hour to meters per minute
Answer:
133.33 meters per minute.
#FreeMelvin
Please help me I promise I will mark Brainliest, I need an answer asap!!!!!!!! please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the inverse of the function. f(x) = 5x + 6 A). f-1(x) = quantity x plus six divided by five B). Not a one-to-one function C). f-1(x) = x divided by five minus six D). f-1(x) = quantity x minus six divided by five
Answer:
D
Step-by-step explanation:
To find the inverse, all we have to do is switch the x and f(x) so instead of f(x) = 5x + 6, it becomes:
x = 5f(x) + 6
x - 6 = 5f(x)
f⁻¹(x) = (x - 6) / 5
si entre 2 obreros tardan 10 días en hacer una carretera, ¿cuánto tardarán en hacer el mismo trabajo 4 obreros?
Answer:
5 dias
Step-by-step explanation:
10/2= 5
Answer:
Tardarán:
5 días
Step-by-step explanation:
Se trata de una regla de tres:
2 obreros son a 10 días
4 obreros son a W días
W = 10*2/4
W = 5
Multiply.
(3 – 4i)(–2 – 2i)
Enter your answer in the box.
Answer:
[tex]\Huge \boxed{-14 + 2i}[/tex]
Step-by-step explanation:
(3 – 4i)(–2 – 2i)
Expanding brackets.
3(-2 - 2i) - 4i(-2 - 2i)
-6 -6i + 8i + 8i²
Apply imaginary number rule : i² = -1
-6 - 6i + 8i + 8(-1)
-6 - 6i + 8i - 8
Combining like terms.
-6 - 8 - 6i + 8i
-14 + 2i
I’m confused plz help meeee
If it's up then add then up , or you can trace it and move it up with paper.
Answer:
U'(-3, 1), M'(-1, 4), L'(-2, 0)
Step-by-step explanation:
To do a translation of 5 units up, add 5 to the y-coordinate of each point.
U(-3, -4) ----> U'(-3, -4 + 5) = U'(-3, 1)
M(-1, -1) ----> M'(-1, -1 + 5) = M'(-1, 4)
L(-2, -5) ----> L'(-2, -5 + 5) = L'(-2, 0)
Answer: The translated points are U'(-3, 1), M'(-1, 4), L'(-2, 0)
Which of the following correctly classifies the number -5 to all of the number sets in which it belongs?
=============================================
Explanation:
Any number you'll encounter so far in your math course will be a real number. This is until you get to something like [tex]\sqrt{-1}[/tex] which is a complex number, but your teacher may not have covered that chapter yet.
Anyways, -5 is a real number because we aren't taking the square root of a negative or anything like that.
-5 is also an integer, but that choice isn't listed. The set of integers is any positive or negative whole numbers, including 0 as well.
Furthermore, -5 is considered rational because -5 = -5/1. We can write -5 as a fraction of two integers where 0 is not in the denominator. With -5 being rational, it cannot be irrational. The term "irrational" means "not rational".
PLEASE HELP ME REALLY QUICK
Answer:
41
Step-by-step explanation:
BDA = DBC+CBA
84=5x+3 + 6x-7
Combine like terms
84 = 11x-4
Add 4 to each side
84+4= 11x -4+4
88 =11x
Divide each side by 11
88/11 = 11x/11
8 = x
We want angle ABC
ABC = 6x-7
=6*8 -7
=48-7
=41
Answer:
∠ABC = 41°
∠ DBC = 43°
Step-by-step explanation:
6x-7 + 5x+3 = 84
6x + 5x = 84 - 3 + 7
11x = 88
x = 8
∠ABC = 6x-7
= 6*8 - 7
= 48 - 7
= 41°
∠ DBC = 5x + 3
= 5*8 + 3
= 40 + 3
= 43°
120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for _______________ Proportion (a) 146 1/4 days (b) 150 days (c) 2251/2 days (d) 260 days
Answer:
the answer is 150 days
Step-by-step explanation:
that is the answer
Work out the angle marked x in each diagram you must show your working
Anwser: 41°
Okay so every triangle is 180° degrees in total.
We need to find the angle of x in the triangle BDC.
We know that the angle of x is 180 - ( x + 15)
We also have another triangle named BAD
Which angles are 90 + 56 + x
the angle of D in the triangle BDC is 180 -58 = 124
So 124 + 15 = 139
180 - 139 = 41
2(x + 4) - 5 = 3x + 3
Answer:
x=0
Step-by-step explanation:
2(x+4)- 5 = 3x+3
Distribute
2x+8-5 = 3x+3
Subtract x values
8-5 = x+3
3 = x+3
Final Subtraction
x = 0
Answer:
x=0
Step-by-step explanation:
Use Cymath it helps with problems like that... www.cymath.com
what number system does 5.12 belong too
Answer:
Decimal Number System
Step-by-step explanation:
5.12 has a decimal in it. Therefore, it belongs to the decimal number system.
Shen sees this in a supermarket: 5 chickens for $18.25. What is the cost of one chicken
Answer:
$3.65 per chicken
Step-by-step explanation:
Divide the coat of he chickens by the number of chickens.
18.25/5
= 3.65
So one chicken would cost $3.65.
Answer:
$3.65
Step-by-step explanation:
$18.65/5=$3.65
1 chicken=$3.65
Solve the following inequalities a) algebraically AND b) graphically.
19) X2 - X - 6 > 0
20) x2-2x - 5 > 3
21) x2 - 4x < 0
Answer:
Step-by-step explanation:
2x-x-5
How to work out the square root of 84
Answer:
9.17(approx) is correct answer
exact answer:9.1651513899116
first u need to find the square root of 81 that is 9 then I have to divide 9 by 9×3...after this u have to add 9 in the result..
ASAPPPPP -6.75 * (-4.2)
Answer:
28.35
Step-by-step explanation:
Answer:
28.35
two negatives make a positive
how do solve this (-m ^3)(7z)
Answer:
-7m³z
Step-by-step explanation:
(-m³)(7z) = -7m³z
The sum of 4 consecutive even integers is 180. What are the integers?
Answer:
42, 44, 46, 48
Step-by-step explanation:
Let x be the first number. Then x + x + 2 + x + 4 + x + 6 = 180.
We can combine like terms, getting 4x + 12 = 180.
Then we get x as 42.
The numbers are 42, 44, 46, 48.
What is the slope of line m?|
ty
2
-2
-2
DONE
Answer:
-1/2
Step-by-step explanation:
Pick two points on the line
( 0,0) (2,-1)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-1-0)/(2-0)
= -1/2
= -1/2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EP is perpendicular to AB.
The number of 90° angles formed by the intersections of EP and the two parallel lines AB and CD is
Answer:
8 right angles
Step-by-step explanation:
1. If two lines are perpendicular then we know they form 4 right angles, so EP and AB from 4 right angles.
2. The question states that AB and CD are parallel. Since we know EP is intersecting AB and CD, we can say that EP is perpendicular to CD as well because of a theorem that states, "...that if there are two parallel lines in the same plane and there is a line perpendicular to one of them, then it is also perpendicular to the other one."
3. So because of that theroem, we can add another 4 right angles from the intersection of EP and CD.
4. When you add all the right angles together, you get 8 right angles in total.
Answer:
ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EP is perpendicular to AB.
The number of 90° angles formed by the intersections of EP and the two parallel lines AB and CD isStep-by-step explanation:
please help me on this i’ll mark u the brainliest
Answer:
Altitude
Step-by-step explanation:
A segment from a vertex of a triangle at right angles to the opposite side is an altitude.
Thus AB is an Altitude
Create a problem where the answer to the problem is your birthday. Make sure you use the Order of Operations. birthday 13
Answer:
2[3+4/-2(3-4)]+3
Step-by-step explanation:
2[3+-2(-1)] +3
2[3+2] +3
2(5) +3
10+3
13
how do i do this and what’s the answer????
Answer:
The correct answer is z = -6.
Step-by-step explanation:
1/3 (2z + 6) = 1/4 (z - 2)
The first step I am going to take is to multiply both sides of the equation by 12 (the least common multiple of 3 and 4). This will eliminate the fractions on both sides of the equations and make the numbers much easier to work with.
4 (2z + 6) = 3 (z - 2)
Next, we can use the distributive property to eliminate the parentheses. This means multiplying each term inside the parentheses by the coefficient on the outside of the parentheses.
8z + 24 = 3z - 6
Now, we can subtract 3z from both sides of the equation.
5z + 24 = - 6
Next, we should subtract 24 from both sides of the equation.
5z = -30
Finally, we can divide both sides of the equation by 5.
z = -6
Therefore, the correct answer is z = -6.
Hope this helps!