Answer: width= 2x-1 and length= 3x+2
Step-by-step explanation: SOLUTION: Choose a possible dimensions of a rectangle with a width= 2x-1 and length= 3x+2 so that its area is greater than 153cm² a. W= 13 L= 15 b. W= 11 L= 20
The two interior angles that are not adjacent to an exterior angle are remote interior angles. TrueFalse
Answer:
true
Step-by-step explanation:
true
Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15.00 per hour, plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?
A. Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
B. Sun'N'Fun is cheaper than Wavy Dave's after 8 hours.
C. Sun'N'Fun is never cheaper than Wavy Dave's.
D. Sun'N'Fun is always cheaper than Wavy Dave's.
Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
Let y represent the total renting fee for x hours.
Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:
y = 17.5x + 20
Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:
y = 15x + 30
For Sun'N'Fun to be cheaper than Wavy Dave's:
15x + 30 < 17.5x + 20
10 < 2.5x
4 < x
x > 4
Hence, Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
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Each big square below represents one whole.
Answer:
103%
Step-by-step explanation:
each little box is 1%
1. A person who weighs 100pounds on Earth weighs 16.5 pounds on the Moon. If a boy
weighs 86pounds on Earth, how much does he weigh on the moon
Answer:
That person would weigh 14.22 lbs.
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
The parameters are given as:
[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005
[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines
To model a population, we make use of the following exponential function
[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]
Where P is the current population in t years.
So, we have:
[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]
When the population reaches half of the initial population, then P = 5000.
So, we have:
[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]
[tex]\mathbf{0.5 = (0.997)^t}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]
Rewrite the equation as
[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]
Make t the subject
[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]
[tex]\mathbf{t = 231}[/tex]
This means that the population will halve its initial population in 231 years.
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
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The Western inventory was written by 4 different authors. Author A wrote 1/4 of the books, author b wrote 5/16 of the books, and author c write 3/8 of the books. What part of the inventory did author D write?
Answer:
Author D write 1/16 of the total number of books.
Step-by-step explanation:
Let the total number of books be b. Then the amounts written by the four authors would be represented by:
(1/4)A
(5/16)A
(3/8)A
( ? )A
Add these together, realizing that the LCD here is 16:
(4/16)A
(5/16)A
(6/16)A
( ? ) A
------------
(15/16)A must then equal the remainder of the work: (16/16)A
Thus, Author D wrote (1/16)A of the books. (Note that 4/16 + 5/16 + 6/16 + 1/16 = 1)
Author D write 1/16 of the total number of books.
11(5-8=-11 5-8=-1. S=
-1/3(2p-9) what does p equal
Answer:
-2p/3+3
Step-by-step explanation:
Can someone help ????
Answer:
432
Step-by-step explanation:
Answer:
432
Step-by-step explanation:
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
Now, at first, we solve the numerator:
[tex](14-3^{2}+1 )^{2}[/tex]
=[tex](14-9+1)^{2}[/tex]
=[tex](15-9)^{2}[/tex]
= [tex]6^{2}[/tex]
= 36
Now let's solve the denominator:
1 ÷ 3 × [tex]\frac{1}{4}[/tex]
=[tex]\frac{1}{3} . \frac{1}{4}[/tex]
=[tex]\frac{1}{12}[/tex]
Hence,
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
= [tex]\frac{36}{1/12}[/tex]
= 36 x 12
= 432
its urgent please. my assignment is due in like 30 minutes
Answer:
( iii)
a-x/a+x =b
a-x=b(a+x)
a-x=ab+ax
a-ab=ax+x
a-ab=x(a+1)
a-ab/a+1=x(a+1)/a+1
x=a-ab/a+1
x=a(1-b)/a+1
Have i done this right, why did i not get the third mark
Answer:
because you are good with math
Step-by-step explanation:
Given: F(x)= 5 x - 6 and G(x)= x - 4
(FoG)^-1=
By definition of inverse function,
[tex]F\left(F^{-1}(x)\right) = x[/tex]
so that
[tex]5F^{-1}(x) - 6 = x[/tex]
[tex]5F^{-1}(x) = x + 6[/tex]
[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]
Similarly,
[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]
Then the inverse of the composition [tex]F\circ G[/tex] is such that
[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]
By definition of composition,
[tex](F\circ G)(x) = F(G(x))[/tex]
Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]
So, we find
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]
My sweatshirt rhat i want to buy is $36 today the price is 30% off what is the price of the sweatshirt today
sharon ate 2 pieces of pie. if this was 25% of the whole pie, how many pieces were there were originally.
Answer:
8
Step-by-step explanation:
25 divided by 2 is 12.5.
100 divided by 12.5 is 8
Answer:
8
Step-by-step explanation:
2 is 25% so, 2 times 2 is 4
4 is 50% so, 2 times 3 is 6
6 is 75% so, 2 times 4 is 8
8 is 100% of the pie
Solve the following inequality.
3x + 5 < 6x – 1
I just need help simplifying
Answer:
(x - 2) / (x - 1)
Step-by-step explanation:
(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom
(x - 2) / (x - 1) <-- cancel out x + 3
Complete the following proof. Given: (BD) is the perpendicular bisector of (AC) Prove: ∢A≅∢C
Statement Reason
1. (BD) is the perpendicular bisector of (AC) 1. Given
2. Point B is the midpoint of (AC) 2. Definition of perpendicular bisector
3. 3. Definition of midpoint
4. ∢ABD and ∢CBD are right angles 4. Definition of perpendicular bisector
5. ∢ABD and ∢CBD are congruent 5. All right angles are congruent.
6. 6. Reflexive property of congruence
7. 7.
8. ∡A≅∡C 8.
Answer:
I dont know if this is right but... i tried XD
Step-by-step explanation:
Angle A is congruent to angle C.
What is Triangle?A triangle in geometry is a polygon with three sides and three angles. The sum of the interior angles of a triangle is 180°.
If XYZ is a triangle, it is represented as ΔXYZ
Here, it is given that BD is the perpendicular bisector of AC.
Then by the definition of perpendicular bisector, B is the midpoint of AC.
Consider ΔABD and ΔCBD
ΔABD and ΔCBD are right triangles with ∡ABD = ∡CBD = 90°.
So, ∡ABD ≅ ∡CBD (∵ all right angles are congruent)
Now, by the reflexive property of congruence, every side or angles are congruent to itself.
So BD ≅ BD
Since B is the midpoint of AC, AB = BC.
Hence AB ≅ BC
By SAS theorem, if two sides and an angle of a triangle are congruent to two sides and angles of another triangle, then both triangles are congruent.
Hence ΔABD ≅ ΔCBD
So, Angle A is congruent to angle C.
Hence ∡A ≅ ∡C if BD is perpendicular bisector of AC.
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#SPJ2
find the value of x.
Answer:
for which one all ?
Step-by-step explanation:
because if so lemme know
Nadine received the same score on each turn in an online game. Her score on each turn was −24. She had 4 turns.
What was Nadine's final score?
Answer:
Step-by-step explanation:
-24 x 4 = -96
If 2x = 3y + 11 and 2 to the power of x = 2 to the power of 4(y+1), determine the value of x + y
Z = -2
Y = 5
is your answer
Louisa is 5 feet 4 inches tall.
How tall is she in inches?
Answer:
64 inches
Step-by-step explanation:
We need to convert feet to inches
5 ft = 5*12
= 60
5ft is 60 in
1 ft = 12 in
Add 60 in & 4 in
= 64 in
Hope this helps! Please rate it and press the heart button! Thanks!
Answer:
64
Step-by-step explanation:
12 inches= 1 foot
5 feet= 60 inches
60+4= 64 inches
PLEASE HURRY!
Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.
Answer:
11 days
Step-by-step explanation:
because Nicholas was given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.
Answer:
11 days
Step-by-step explanation:
The temperature of a pan of water on the stove increases steadily from 22°C to 100°C at a rate of 8°C per minute. The temperature after 5 minutes is what.
Answer:
ui100
Step-by-step explanation:
125
The temperature of a pan of water on the stove after 5 minutes would be 40°C.
What is temperature?Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.
The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.
We need to find the temperature after 5 minutes.
Rate of temperature per minute = 8°C
Rate of temperature after 5 minutes = 8°C × 5
= 40°C
Therefore, the temperature after 5 minutes would be 40°C.
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What times -1/2 x what = -20?
Answer:
40
Step-by-step explanation:
Let the number be y
-1/2 × y = -20
y = -20 ÷ -1/2
y = 20 × 2
y = 40
5. Find the triangle similar to AABC at the right. Question 5
Answer:
b
Step-by-step explanation:
If you multiple each side by 3 then they will equal the numbers that b has
8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)
Step-by-step explanation:
sorry that's all i know hehe
Maria paid 320.00 for a jacket that was discounted by 20%. What was the original price of the jacket?
phân tích đa thức x^3 - x thành phân tử
Answer:
1
Step-by-step explanation:
Which theorem does it offer proof of?
Answer:
vertical angles are =
Step-by-step explanation:
Evaluate the function.
f(x) = 2x2 – 15
Find f(-2)
Answer:
[tex]f(-2)=-17[/tex]
Step-by-step explanation:
[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]
f(x) = 2x² - 15
f(-2) = ?
Substitute -2 in the place of x.
f(x) = 2x² - 15
f(-2) = 2(-2)² - 15
f(-2) = 8 - 15
f(-2) = -7
______
Hope it helps :)) ⚜