The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
The area is given as:
[tex]\mathbf{Area = a^3 - 125}[/tex]
Express 125 as 5^3
[tex]\mathbf{Area = a^3 - 5^3}[/tex]
Apply difference of cubes
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]
The area of a rectangle is:
[tex]\mathbf{Area = Length \times Width}[/tex]
So, by comparison:
[tex]\mathbf{Length = a -5}[/tex]
[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
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Mark has £5. A litre of milk costs 80p. He buys as many as he can. How much money will he have left
Answer:
He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.
Step-by-step explanation:
welcome
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.
Answer:
We need the options
Step-by-step explanation:
...
The Sierra club purchased a new kayak. Each of the 6 members paid the same amount. When 2 new members joined, each of the original 6 members received a check back for $10. How much did the kayak cost?
Answer:
the answer will the sum of multiple of 6& 8 and the lcm of 6 &8
Step-by-step explanation:
ie.
48+24=
What is the reciprocal of -3 2/7 in fraction form?
Answer:
7/23
Step-by-step explanation:
3 2/7 - so 7 times 3 is 21, plus the extra 2 is 23, so it then becomes the improper fraction 23/7, which switched becomes 7/23
Answer: is in picture below
guys help please what is this
Answer:
A & C
Step-by-step explanation:
You're looking for rational numbers that are also integers, but because (as the figure shows) ALL integers are already rational, you only have to worry about the integer part. An integer is a whole number, positive or negative. So, you need to simplify each element of each set (the numbers inside the curly braces) to see if they're whole.
A - The square root of 100 is just 10 or -10, divided by -2 is -5 or 5. 4, -2, 5, and -5 are all integers.
B - Wrong because 4/3 is not a whole number
C - 16/4 is just 4, and the square root of 49 is 7 or -7. 4, -6, 2, 7, & -7 are all integers.
D - Wrong because 27/2 is not a whole number
E - Wrong because 0.2 is not a whole number
Let me know if you need a more thorough explanation! (:
!! Fake answers will be reported
Find angle 5& 6 too
Answer:
x = 10
y = 5
Angle 1: 80 degrees
Angle 2: 45 degrees
Angle 3: 100 degrees
Angle 4: 35 degrees
Angle 5: 35 degrees
Angle 6: 45 degrees
Angle 7: 100 degrees
Step-by-step explanation:
Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.
To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.
(3x+5)+(5x-5)+100=180
(3x+5)+(5x-5)=80
8x=80
x=10
Now plug x in to solve for angle 5 and 6
3(10)+5 = 35. Angle 5
5(10)-5 = 45. Angle 6
Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.
(angle 2)+35 = 80
(angle 2) = 45 degrees
(angle 4)+45 = 80
(angle 4) = 35 degrees
To solve for y, set angle 7 equal to 100 degrees:
100 = y^2 + 15y
100 = y(y+15)
y = 5
PLEASE HELP ME
A population in a town has 2500 people in the first month of its development. Every month after that, the population constantly increases 1.25 times from the previous month. What will the population of the town be in the 4th month?
A.) About 4883 people
B.) About 6104 people
C.) 12500 people
D.) 9375 people
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Just take the 1.25 x 4 months, then multiply that by the 2500 to get your answer of 12,500 people.
Students in a world geography class want to determine the distances between cities in Europe. The map gives all distances in kilometers. The students want to determine the number of miles between towns so they can compare distances with a unit of measure with which they are already familiar. The graph below shows the relationship between a given number of kilometers and the corresponding number of miles.
Answer:
Step-by-step explanation:
i guess we will never know.
guys pls help me!!!!!!
Answer:
x=79
Step-by-step explanation:
180-101=79
Jesus loves you!
Answer:
It is 79
Step-by-step explanation:
Since the lines are parrelel that means that the angle that is next to the 101 is corresponding to x. So then we do 180-101 which is 79
3. 2(x − 3)
A) 2
B) −4
C) 2x − 6
D) 2x − 4 4)
Answer:
C
Step-by-step explanation:
multiply by 2 to be 2x-6
Answer:
x=8//
Step-by-step explanation:
2(x- 3)
or,2x-6
or,X=6+2
hence,X=8//
Justin needs 9 pieces of rope that are
1 1/2 feet long each. He says he can cut the 9 pieces from a 12 3/4 foot long rope. Is Justin correct? Write an equation with a complex fraction to support your answer.
Answer:
no.
Step-by-step explanation:
half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2
Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an
account every month that pays 1.05% interest, compounded monthly. How
much will be in the account after 4 years?
Answer:
$9,800.07
Step-by-step explanation:
Just took a quiz.
There will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
PMD = $200
r/n = 0.0105/12
n = 12
t = 4 years
After plugging the all values in the formula, we will get:
A = $9,800.07
Thus, there will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
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You want to purchase 7 Rubik’s cubes for a Rubik’s cube you are starting. A Rubik’s cube cost $7.99 How much does it cost to buy all seven to start your Rubik’s cube club
Answer:
just multiply 7.99 * 7. your tryna find how much 7 rubrics cubes cost so your answer should be 55.93 or 56
Step-by-step explanation:
Please help fast
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
Answer:
Y > 2x - 3
Y > -1/2x + 2
Step-by-step explanation:
The dotted line is a function of y=2x - 3,
And the solid line has a function of y= -1/2x + 2
Because the line is dotted for the first line I picked, it is > and because the other is solid it is >.
to write
algebraically
following expressions:
the
1. Double an X number.
2. Triple an X number.
3. Double a number x plus 5.
4. The square of the triple of a
number x.
5. Three-quarters of a
number x.
Answer:
1. 2x
2. 3x
3. 2x+5
4. (3x)^2
5. 3\4(x)
I hope it makes sense
have a great day
if any questions pls ask
Find the slope of the line through each pair of point
Answer:
what are the pair of points?
does anyone know how to do this?
WILL GIVE BRAINLIEST ANSWER!!!
(a) Find the image of (6,2) under T (1,4)
(b) Find the image of (3,1) under r y=0
(c) Find the image of (−1,−3) under R (0,0),180
(d) Find the preimage of (2,1) under T ( −3,−4)
Answer:
a is (7,6)
b is (3,-1)
c is (1,3)
d is (5,5)
Step-by-step explanation:
f(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x
Answer:
x = - 25 , x = 84
Step-by-step explanation:
Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides
- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )
- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )
- 3x = 75 ( divide both sides by - 3 )
x = - 25
---------------------------------------------------------
Similarly equate right sides
- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )
- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )
- x = - 84 ( multiply both sides by - 1 )
x = 84
Can anyone help me with this question?
Answer:
13
Step-by-step explanation:
Since this is a right triangle, you can use the Pythagorean Theorem.
The side y would be the hypotenuse.
[tex]a^{2} + b^{2} = c^{2}[/tex]
Plug it in:
[tex]5^{2} + 12^{2} = y^{2}[/tex]
Isolate y:
y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]
Solve:
y = 13
Type the missing numbers in this sequence:
-101, -105,
-109,
-117
Answer:
The answer is - 113 that is the correct answer skipping in three's and the first one is - 97
Answer:
-97, -101, -105, -109, -113, -117
Step-by-step explanation:
the order was add -4 each time
bill heads north driving at 55 mph and jane heads south driving at 60 mph. How long before they are 862.5 miles apart?
Answer:
bill heads;15.68
jane heads;14.38
Step-by-step explanation:
862.5÷55=15.68
862.5÷60=14.38
The broccoli farmer notices that his pre-flowering crop is being attacked by caterpillars. He was advised to use a particular insecticide at the rate of 5 milliliters per gallon of water. The farmer finds that a 4 gallon can of water covers an area of 30m². The chemical in question comes in 1500ml bottles and costs $3,500.
FIND:
a) How many gallons of water would cover his 2.6-hectare area?
b) How many pesticides is needed to adequately spray the field?
c) What would be his total cost for whole bottles of insecticide needed?
pls help
Answer:
a) 3,467 gallons of water
b) 17,335 ml of insecticide = 12 bottles
c) $ 42,000
Step-by-step explanation:
1 gal. Water = 3785.412 ml
1 hectare = 10,000 m^2
2.6 hectare = 2.5 x 10.000 m^2 = 26,000 m^2
(a) 4 gal. water cover 30m^2
X gal water cover 26,000 m^2
(4 x 26,000)/30 = 3,467 gal of water
(b) 5 ml per 1 gal of water
X ml per 3,467 gal of water
(5 x 3,467) = 17,335 ml of insecticide
Bottle of insecticide = 1,500 ml of insecticide in each bottle.
17,335/1,500 = 12 bottles of insecticide
(c) 12 x $3,500 = $ 42,000
The ratio of men to women working for a company is 6 to 5 . If there are 65 women working for the company, what is the total number of employees?
Step-by-step explanation:
[tex]\frac{men}{women} =\frac{6}{5}[/tex]
If there are 5 women = 6 men
If there are 5(13) women = 6(13) men
If there are 65 women = 78 men
So there are 65 + 78 = 143 employees.
please give me a brainliest answer
HELP ME!!!!!
At an opening for a new store, the first 50 customers are given gift certificates. There are 35 gift certificates worth $10 each, 10 gift certificates worth $15 each, 4 gift certificates worth $50 each, and 1 gift certificate worth $75. The gift certificates are handed out randomly to the first 50 customers.
Natalie is one of the first 50 customers. What is the expected value of the gift certificate that she will receive?
Answer: $50
Step-by-step explanation:
If Natalie is one of the first 50 customers to enter the store, then she might've gotten the $50 or the $75
Write the equation of the graph below in slope intercept form.
(2,0) and (0,-3)
Step by step
Answer:
y2- y1 over
x2 -x2
[tex] - 3 - 0 = - 3[/tex]
[tex]0 - 2 = - 2[/tex]
Step-by-step explanation:
slope is m =
[tex]m = - \frac{3}{2} [/tex]
use the -3 for b and you get
[tex]y = - \frac{3}{2} x - 3[/tex]
slope intercept form
Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.
A) 0.067
B) 4
C) 15
D) 75
Answer: 15
Step-by-step explanation: I took the test.
Answer:
C.) 15
Step-by-step explanation:
Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets
marked down, During the sale, rashguards sell for $5 less than full price. Miguel purchases 3
rashguards and pays a total of $60.
Which equation can you use to find how much money, f, each rashguard costs at full price?
The full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the full price of each rashguard be x,
Rashguards sell for $5 less than full price.
x - 5
Miguel purchases 3 rashguards and pays a total of $60.
3 (x - 5) = 60
Simplifying,
x - 5 = 60 / 3
x - 5 = 20
x = 20 + 5
x = 25
Thus, the full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.
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A television that costs $500 is marked up by 250%. What is the new price of the television?
Answer:
Its $1,750
Explanation: I got it right
2 colum proofs???? i don’t understand these
Answer:
where is it?
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 12 N acts on a certain object, the acceleration
of the object is 6 m/s?. If the acceleration of the object becomes 4 m/s, what is the force?
Answer:
8N
Explanation:
Since Force is proportional to acceleration,
F1/a1=F2/a2
Therefore;
12/6=F2/4
F2=(12*4)/6
=8