Answer:
119.67
Step-by-step explanation:
a^2 + b^2 =c^2
Help, will give brainliest if correct!!!
A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph.
How long does it take each animal to run to the second jungle?
Answer:
cheetah, 3 hours antelope, 5 lion, 6 elephant, 10
Step-by-step explanation:
The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
What is speed?Speed is a scalar quantity that refers to how fast an object is moving.
Given are the speeds of different animals,
Cheetah = 50 mph
Antelope = 30 mph
Lion = 25 mph
Elephant = 15 mph
Speed = distance/time.
Time = distance/speed
Distance = 150 miles
Time taken by each :
Cheetah = 150/50 = 3 hours
Antelope = 150/30 = 5 hours
Lion = 150/25 = 6 hours
Elephant = 150/15 = 10 hours
Hence, The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
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David makes 17 dollars in an hour and works 25 hours each week. Linda makes 25 dollars in an hour and works 17 hours each week. How much do David and Linda make together each week? What property of multiplication does this represent?
Answer:
David makes $185 each week and Linda makes $175 each week, this property of multiplication would be, Commutative.
Step-by-step explanation:
The amount David and Linda make together each week is $850.
17 x 25 = 25 x 17 is a commutative property of multiplication.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
David:
Amount made in one week.
= 17 x 25
= $425
Linda:
Amount made in one week.
= 25 x 17
= $425
Now,
17 x 25 = 25 x 17
This is a commutative property of multiplication.
Thus,
The amount made together in one week is $850.
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If $5000 is put into a savings account that pays
3.5% interest compounded monthly, how much
money, to the nearest ten cents, would be in that
account after 6 years, assuming no money was
added or withdrawn?
Answer:
17600
Step-by-step explanation:
calculator
Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51
The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:
3.5% / 12 months = 3.5/12%
6 years x 12 = 72 months
The amount after 6 years is:
= Amount x (1 + rate) ^ number of periods
= 5,000 x (1 + 3.5/12%)⁷²
= $6,166.51
In conclusion, the amount in the account after 6 years is $6,166.51.
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Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 24 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 108 and 153 miles in a day. Round your answer to four decimal places.
Answer:
0.6069
Step-by-step explanation:
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 24 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 108 and 153 miles in a day. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For x = 108 miles
z = ( 108 - 120)/24
z = -0.5
Probability value from Z-Table:
P(x = 108) = 0.30854
For x = 153 miles
z = (153 - 120) /24
= 1.375
Probability value from Z-Table:
P(x = 153) = 0.91543
The probability that a truck drives between 108 and 153 miles in a day is
P(x = 153) - P( x = 108)
0.91543 - 0.30854
= 0.60689
Approximately = 0.6069
Write the slope-intercept form of the equation
of the line through the given points.
4) through: (-5, 0) and (-2, -3)
Answer:
y = -x-5
your welcome!
Atile installer charges $15 per soruare foot to install floor tile What is the cost to install tile in a room of the size shown?
Answer:
$330
Step-by-step explanation:
You time 15 by each squat ft
what is the y intercept of y= -1/2x +3
Hurryplz!
Answer:
Y-intercept is 3
Step-by-step explanation:
Remember y=mx+b
b is the y-intercept
mx is the slope
2) What is the distance between -5 and -3?
Answer:
2
Step-by-step explanation:
-5 - (-3)
-5 plus 3
|-2|
2
is 5x² a term in math
What is the completely factored form of x2 - 64/?
Answer:
(x-8)(x+8)
Step-by-step explanation:
Answer:
(x + 8)(x − 8)
Step-by-step explanation:
At noon, a tank contained 8 in. of water. After several hours, it contained 2 in. of water. What is the
percent decrease of water in the tank?
Answer:
75%
Step-by-step explanation:
To find the percent decrease, use the percent change formula:
(difference / original) x 100
8 - 2 = 6, so the difference is 6.
Plug in the difference and original:
(6 / 8) x 100
= 75
So, the percent decrease is 75%
The function h is defined by h(x) = 5+3x/6+x find h(4x)
Answer:
i think 2
Step-by-step explanation:
-5+5=0 is which property
Answer:
i agree about the -5+5=0 is which property
Step-by-step explanation:
Answer:
It is the inverse property of addition.
Step-by-step explanation:
If nis the larger of two consecutive numbers, write an expression for the other number.
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Answer:
n-1
Step-by-step explanation:
I hope you like the answer!
Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss books, how many total books does she have?
Answer:
Step-by-step explanation:
if the ratio is 8:11 then 40:x
Cross multiply
8 40
11 x
8x=440
And divide by 8
x=55. She has 55 books
i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please
check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Help with trigonometry homework
By definition of tangent,
tan(A - π/4) = sin(A - π/4) / cos(A - π/4)
Expand the numerator and denominator using the angle sum identities for sin and cos:
tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))
Divide through everything on the right by cos(A) cos(π/4):
tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))
Simplify the sin/cos terms to tan:
tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))
tan(π/4) = 1, so we're left with
tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))
Replace tan(A) with -√15:
tan(A - π/4) = (-√15 - 1) / (1 - √15)
Then the last option is the correct one.
If the salesperson earned a $1500 commission, what was the price of the car? Determine the price
of the car, if the percent of the commission was 20%
A. $5000
B. $8000
C. $7,500
Answer:
it's 7500
Step-by-step explanation:
20% of 7500 is 1500. General tip, commission is usually 25%
Find the greatest common factor of 24 and 45.
Answer:
It is 3
Step-by-step explanation:
It is 3 that is the GCF of 24 and 45
AB =
Round your answer to the nearest hundredth.
5
C
А
65°
B
Answer:
[tex] AB = 5.52 [/tex]
Step-by-step explanation:
Reference angle = 65°
Opposite side = 5
Hypotenuse = AB = ?
To find AB, the trigonometric ratio we would use will be:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(65) = \frac{5}{AB} [/tex]
Cross multiply
[tex] sin(65)*AB = 5 [/tex]
Divide both sides by sin(65)
[tex] AB = \frac{5}{sin(65)} [/tex]
[tex] AB = 5.52 [/tex] (nearest hundredth)
A. 8
B. 32
C. 16
D. 4
Mr. Wong was born in 1934. In what year was Mr. Wong 48 years old? Use mental math to solve.
Answer:
1982
Step-by-step explanation:
1934 + 42= 1982
Jodi owes $38,000 in students loans for college. The interest rate is 7.25% and the loan will be paid off over 10 years. How much will Jodi pay TOTAL?
Answer:
Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.
Step-by-step explanation:
Solution:
P = $38,000, R = 7.25% and T = 10
I = P*R*T
I = (38000)*(.0725)*(10) = $27,550.00
Answer: Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.
Answer: Jodi will pay $65,550.00 in total.
Steps: 7.25% of $38,000 is $2,755.00
Multiply 2,755.00 times 10: 2,755 × 10 = 27,550
$38,000.00 + $27,550.00 = $65,550.00
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A gumball machine has 300 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in the gumball machine?
225
275
375
400
BRAINLIST,EXTRA POINTS, 5 STARS, AND HEART
Answer:
The answer is 400
Step-by-step explanation:
Percent is to 100 as part is to whole.
In this case we have no whole but we have a part, and we have a percentage. 100% is equal to the whole so, 300 divided by 4 is 75 and what you do on the top is what you do on the bottom; 100x4=400
What is equivalent Kelvin temperature of 523 degrees Celcius?
Answer:
795.15K
Step-by-step explanation:
523+273.15=796.15K
Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21
Answer:
A. 90.24 divided by 6.3
Step-by-step explanation:
We take each option one by one and solve for it
A. 90.24 divided by 6.3
Divisor = 90.24
Dividend = 6.3
if the divisor and dividend were rounded to the nearest whole number?
= 90÷ 6
= 15
Answer:
A, I got it right on edge.
Step-by-step explanation:
What is the value of tan(t/2) if cos(t) = 4/5 and t is in quadrant IV?
Answer:
Step-by-step explanation:
-1/3
Answer:
A
Step-by-step explanation:
on edge
How are rates ratios and proportions used in careers in the medical field
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?
Answer:
Weekly: $106.25
Monthly: $425
Yearly: $5,100
Step-by-step explanation:
Answer:
Step-by-step explanation:
WEEKS:
$175 divided by 4= 43.75
100 divided by 4= $25
150 divided by 4: $37.5
TOTAL: 106.25
YEARLY:
$175 times 12: $2,100
$100 times 12: $1,200
$150 times 12: $1,800
TOTAL: 5,100
MONTHLY: $425
Simplify the expression 4x^3 x 2x^3
Answer:
8x^6
Step-by-step explanation:
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