Answer:
its 1/10
Step-by-step explanation:
4/10-3/10=1/10
97 inches = how many yards?
Answer:
8 yards
Step-by-step explanation:
97 divided by 12
7.) Which of the following are some of the possible solutions for the inequality?
-9w <-54
A. 6, 7, 8, 9
B. 6,5, 4,3
C.-6, -5, -4,-3
D. -6, -7,-8,-9
Answer:
A
Step-by-step explanation:
We will solve this inequality by dividing both sides by -9.
Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.
So we get:
[tex]w>6[/tex]
The only answer that has possible solutions that are greater than 6 is A.
Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.
Answer:
The estimated size of the population in 10 days is of 1372 mosquitos.
Step-by-step explanation:
Population after t days:
The population after t days is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
P(0)=574.
So
[tex]P(t) = 574e^{rt}[/tex]
P'(0)=50
[tex]P^{\prime}(t) = 574re^{rt}[/tex]
Since P'(0)=50
[tex]574r = 50[/tex]
[tex]r = \frac{50}{574}[/tex]
[tex]r = 0.0871[/tex]
So
[tex]P(t) = 574e^{0.0871t}[/tex]
Estimate the size of the population in 10 days
This is P(10).
[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]
The estimated size of the population in 10 days is of 1372 mosquitos.
The size of the population of mosquito follows an exponential model.
The size of the population in 10 days is 1370
The given parameters are:
[tex]\mathbf{P(0) = 574}[/tex]
[tex]\mathbf{P'(0) = 50}[/tex]
An exponential function is represented as:
[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]
So, we have:
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
Differentiate
[tex]\mathbf{P'(t) = 574r}[/tex]
Substitute 0 for t
[tex]\mathbf{P'(0) = 574r}[/tex]
Substitute [tex]\mathbf{P'(0) = 50}[/tex]
[tex]\mathbf{50 = 574r}[/tex]
Divide both sides by 574
[tex]\mathbf{0.087 = r}[/tex]
So, we have:
[tex]\mathbf{r = 0.087 }[/tex]
The function becomes
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]
In 10 days, t = 10.
So, we have:
[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]
[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]
Solve
[tex]\mathbf{P(10) = 1370}[/tex]
Hence, the size of the population in 10 days is 1370
Read more about exponential functions at:
https://brainly.com/question/11487261
I need help with these questions
Answer:
(2nd question, asking about height)
8cm or 0.08m
Step-by-step explanation:
1.43m - 143cm
(1m = 100cm)
143cm - 135cm = 8cm
Answer:
445mm & 44.5cm
Step-by-step explanation:
155mm - 15.5cm
(1mm = 0.1cm)
15.5 + 16 + 13 = 44.5cm
44.5cm - 445mm
Answer:
1) 18.3m-16.5m=2.8m
2) 1.43m-135cm=0.81m
3) 0.16m+1.55m+0.13m=0,84m or 84cm
4)-
5)-
Step-by-step explanation:
2)cause 135cm is 1.35m
Name 6 elements of PQR.
Answer:
josh
rabeesh
ronger
roger
roge
robert
Step-by-step explanation:
PLEASE HELP I NEED A GOOD MATH GRADE
Answer:
1.2 to 10 o->
2.8 to -10 <- with fully bubbled o
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answer: 360>5.5+36.41d
Step-by-step explanation:
last year 1/5 of the students in your class played a sport this year 10 students join the class five of the new students play a sport now 1/4 of the students play a sport how many students are in your class now
Answer:
60
Step-by-step explanation:
last year 1/5 of the class played sports, so s = (1/5) c
the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)
To solve this we can substitute s = (1/5)c from the first equation into the second, so
((1/5)c + 5)=(1/4)(c+10), simplify both sides
(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2
(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)
4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides
50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60
3/500% of a quantity is equal to what fraction of the quantity?
what is the answer??????
Answer:
3/5
Step-by-step explanation:
Given
[tex]\frac{3}{500} \%[/tex]
Required
Represent as fraction
To do this, we simply multiply 3/500 by 100
[tex]\frac{3}{500} \% = \frac{3}{500} * 100[/tex]
[tex]\frac{3}{500} \% = \frac{3}{5}[/tex]
So, the fraction is 3/5
if the cube was Rolled 78 x and the nine appears 26 times what was the experimental probability of rolling a 9
Answer:
1/3 = 0.3333 = 33.33% experimental probability of rolling a 9.
Step-by-step explanation:
The experimental probability is given by the number of desired outcomes divided by the number of total outcomes, after a number of experiments is made.
In this question:
Cube rolled 78 times.
9 appeared 26 times
26/78 = 1/3 = 0.3333 = 33.33% experimental probability of rolling a 9.
does anyone know how to do this?
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
solve the following problems
Answer:
Explanatoin:
Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)
Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
In the image shown line n is a transversal cutting parallel lines l and m
A- 79
B- 81
C- 83
D- 86
the answer to your question is C
what is the HCF of 15and25
Answer:
5
Step-by-step explanation:
HOPE IT HELPS YOU .......
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answer:
follow me please and give thanks
2. You have a bag containing 5 red markers, 6 green markers, and 4 blue markers. You reach Into the bag, select 1 marker, replace it, and then select another marker. What is the probability
that you selected a blue marker and then a green marker?
14.3%
10.7%
73.3%
83.3%
Answer:
10.7%
Step-by-step explanation:
possibility to get a blue marker : 4/15
possibility to get a green marker: 6/15
possibility to get a blue then a green: 24/225
= 10.666666%
= 10.7%
8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).
Answer:
Good luck Dude
Step-by-step explanation:
evaluate (4x-5)² pls send answers
Answer =
= (4x - 5)²
= 16x² - 40x + 25
Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18
On a random Friday in the fall, 95% of students were present at school. If there are a total of 420 students enrolled, then how many students were present that day
[tex] \frac{95}{100} \times 420 = 399[/tex]
Please help!
Write down the correct type of angle for angles A to E.
Answer:
Angle A- Obtuse angle
Angle B- Right angle
Angle C- Reflex angle
Angle D- Reflex angle
Angle E- Acute angle
Angle A is Obtuse angle, Angle B is Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle
What are Angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Obtuse angle is any angle greater than 90°
A right angle is an angle measuring exactly 90°
A reflex angle is an angle that is more than 180 degrees and less than 360 degrees.
Any angle that measures greater than 0° and less than 90° is called an acute angle.
By the definitions of these the angles are
Angle A- Obtuse angle
Angle B- Right angle
Angle C- Reflex angle
Angle D- Reflex angle
Angle E- Acute angle
Hence, Angle A is Obtuse angle, Angle B is Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle
To learn more on Angles click:
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#SPJ2
3×/5 2×/3 + 1/5 = 0
Answer:
what is the question. the equation is invalid.
Mary has two sisters. Her younger sister is 5 years younger Her older
sister is twice her age. Their ages add up to 47. How dd is Mary and each
of her sisters?
Figure ABCD is a parallelogram... open photo to see question pls
Answer:
choices 2 and 5
Step-by-step explanation:
please help me with this question
Answer:
18
Step-by-step explanation:
Colbert's backyard has two trees, shown below. The height of shorter tree is 3/5 of the height of the taller tree. If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree?
Answer:
The height of the taller tree is 7.5 feet.
Step-by-step explanation:
I am going to say that:
The height of the shorter tree is x.
The height of the taller tree is y.
The height of shorter tree is 3/5 of the height of the taller tree.
This means that [tex]x = \frac{3y}{5}[/tex]
If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree?
This means that [tex]x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}[/tex]
We want to find y.
[tex]x = \frac{3y}{5}[/tex]
[tex]\frac{9}{2} = \frac{3y}{5}[/tex]
[tex]6y = 45[/tex]
[tex]y = \frac{45}{6}[/tex]
[tex]y = 7.5[/tex]
The height of the taller tree is 7.5 feet.
make a problem about simple interest
Answer:
Simple Interest (SI) = Amount (A) – Principal (P) = 6000 - 5400. = 600
Answer:
1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount he gets after 1 year, 2 years and 3 years?
Step-by-step explanation:
Solution:
In every $ 100, Robert gets $ 8.
(Since rate is 8% → 8 for every 100)
Therefore, for $ 1 he gets = $ 8/100
And for $ 2000 he gets = 3000 x 8/100
= $ 240
Simple Interest for 1 year = $ 240.
Simple Interest for 2 year = $ 240 x 2
= $ 480
Simple Interest for 3 year = $ 240 x 3
= $ 720
Therefore, Amount after 1 year = Principal (P) + Simple Interest (SI)
= 3000 + 240
= $ 3240
Amount after 2 years = Principal (P) + Simple Interest (SI)
= 3000 + 480
= $ 3480
Amount after 3 years = Principal (P) + Simple Interest (SI)
= 3000 + 720 = $ 3720
We observe from the above example that, the Interest cannot be calculated without Principal, Rate and Time.
Therefore, we can conclude that Simple Interest (S.I.) depends upon:
(i) Principal (P)
(ii) Rate (R)
(iii) Time (T)
And therefore, the formula for calculating the simple interest is
Simple Interest (SI) = {Principal (P) × Rate (R) × Time (T)}/100
Amount (A) = Principal (P) + Interest (I)
Principal (P) = Amount (A) – Interest (I)
Interest (I) = Amount (A) – Principal
The cost of 3 pencils and 2 markers is $1.30.
The cost of 2 pencils and 3 markers is $1.20.
What is the total cost of 7 pencils and 7 markers?
Answer:
$3.50
Step-by-step explanation:
Given that the cost of 3 pencils and 2 markers is $1.30. Let the cost of a pencil be $p and that of a marker be $m then
3p + 2m = 1.30
Also, the cost of 2 pencils and 3 markers is $1.20 will result
2p + 3m = 1.20
Solve both simultaneously
3p + 2m = 1.30
2p + 3m = 1.20
multiply the first by 2 and the second by 3
6p + 4m = 2.60
6p + 9m = 3.60
subtract the second from the first
4m - 9m = 2.60 - 3.60
-5m = -1
Divide both sides by -5
m = 0.20
substitute into equation 1
3p + 2(0.2) = 1.30
3p + 0.4 = 1.30
3p = 1.30 - 0.40
3p = 0.90
Divide both sides by 3
p = 0.30
The total cost of 7 pencils and 7 markers
= 0.30 * 7 + 0.20 * 7
= 2.10 + 1.40
= $3.50