A salesman drove from his home to a nearby city at an average speed of 40 mi/h. He returned home at an average speed of 50 mi/h. What was his average speed for the entire trip?
Answer:
44.44 mph
Step-by-step explanation:
[tex]speed = \frac{distance}{time} = \frac{distanceTo + distanceFrom}{time1 + time2} = \frac{2d}{\frac{d}{40} + \frac{d}{50} }[/tex]
= [tex]\frac{2d}{\frac{5d + 4d}{200} } = \frac{2d}{\frac{9d}{200} }[/tex]
= 2d * [tex]\frac{200}{9d}[/tex]
= 400 / 9
= 44.44
Answer:
44.4 miles per hour
Step-by-step explanation:
d = the distance between cities
t 1= the time from home to the city
t 1 = the time . from the city to home
2d/t1 + t2 = 2d/ d/40 + d/50
=2d/5d+4d =2d/9d
divide both sides by 200
=2d * 200/9d =400/9
= 44.4
Which situation represents a proportional relationship?*
A The cost of purchasing a gym membership is $25 per month plus a $100 joining fee
B The cost ordering Uber Eats is $3.50 per meal with a delivery charge of $5
C The cost of cell phone plan is $65 per month
D The cost of shipping a package is $1.25 per pound plus a shipping fee of $2
Answer:
c
Step-by-step explanation:
because it is just i one time fee evey month
7. I sell cookies for $2 and muffins for $5. Yesterday, I made $35. I sold a total of 13 items.
How many of each did I sell?
evaluate 3(c+d) if c = 8 and d = -5
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3(c + d)
c = 8
d = -5
Step 2: Evaluate
Substitute: 3(8 - 5)Subtract: 3(3)Multiply: 9A restaurant offers delivery for their pizzas.The total cost is a delivery fee added to the price of the pizzas.One customer pays $25 to have 2 pizzas delivered.Another customer pays $58 for 5 pizzas.How many pizzas are delivered to a customer who pays $80?
Answer:
x-the cost of one pizza
y-the cost of delivery
2x+y=25
5x+y=58 ->3x=33->X=11->y=3
so,the number of delivered pizzas to the person
num=(80-3)/11=7
Step-by-step explanation:
using the slope formula find the slope of the line that passes through these points (3,7) and (3,5)
Answer:
Undefined
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ]
5-7/3-3
-2/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
I will give you brainiest if you can answer the questions below.
An arc AB subtends an angle of 2.4 radians at the center O of a circle with radius 50 cm. Find the area and perimeter of sector AOB.
The bottom of a pendulum traces an arc 3 feet in length when the pendulum swings through an angle of ½ radian. What is the number of feet in the length of the pendulum?
Answer:
a. i. 3000 cm² ii. 220 cm b. 6 feet
Step-by-step explanation:
A. i. The area of the sector AOB is A = ¹/₂r²θ where r = radius of circle = 50 cm and θ = angle subtended at the center of the circle by the sector in radians = 2.4 radians.
So, A = ¹/₂r²θ
= ¹/₂(50 cm)² × 2.4 rad
= ¹/₂ × 2500 cm² × 2.4 rad
= 1250 cm² × 2.4 rad
= 3000 cm²
ii. The perimeter of the sector is P = 2r + rθ = (2 + θ)r
substituting r and θ, we have
P = (2 + θ)r
= (2 + 2.4) × 50 cm
= 4.4 × 50 cm
= 220 cm
B. Since length of an arc L = rθ where r = radius = length of pendulum and θ = angle swept by pendulum = ½ radian and length of the arc swept = 3 feet, the radius is
r = L/θ
= 3 feet ÷ ½ rad
= 3 × 2
= 6 feet
Find the slope of the line that passes through (1,3) and (8,9)
Answer:
6/7
Step-by-step explanation:
90% of the seniors at Richmond high school will attend the school prom. If 270 seniors attend
the prom, how many seniors go to the high school?
Answer:
243
Step-by-step explanation:
make 90% into a decimal
0.9
multiply 270 by 0.9 to get the answer of 243
A charity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places.
Answer:
The probability that they are all men is 0.00533
Step-by-step explanation:
Here, we want to find the probability that all winners selected are men
Total number of ticket sold is 35 + 21 = 56
What this mean is that out of the 56, we are selecting 5 and out of the 21, we are selecting 5 also
So we use a combination formula;
21 C 5/ 56 C 5
= 20,349/3,819,816
The probability is; 0.00532721995
The probability that they are all men is 0.00533
10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal
Complete the work to find the dimensions of the rectangle. w(2w + 4) = 240 2w2 + 4w = 240 2w2 + 4w – 240 = 0 2(w + 12)(w – 10) = 0 What is the width of the rectangle? What is the length of the rectangle?
Answer:
Length = 24 and width = 10
Step-by-step explanation:
Initially we start with;
w(2w + 4) = 240
Since we are dealing with a rectangle, it means that w is the width while (2w + 4) is the length.
Further more we see that;
2(w + 12)(w – 10) = 0
Thus means that;
w + 12 = 0 or w - 10 = 0
Thus,w = -12 or w = 10
Width can't be negative and so we pick w = 10
Since length = (2w + 4), then;
Length = 2(10) + 4
Length = 20 + 4 = 24
Answer:
the width is 10 cm and the length is 24cm
Step-by-step explanation:
i just did it
PLZ HELP!!!
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a
missing piece. You may choose to write a problem that is two- or three-dimensional in nature.
Be sure that you will be able to draw a diagram of your scenario. Be sure to end your scenario
with a question. (Example: There is a bike ramp that measures 3 feet tall and 4 feet wide. What
is the slant length of the ramp?)
Answer:
Step-by-step explanation:
A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder. Hope this helps.
PLEASE HURRY!
------------------------
Answer:
we cant see the question
HELP ASAP!! PLEASE!!Given these two triangles, determine if they are similar and
justify your conclusion using the within ratios?
Answer:
Step-by-step explanation:
BA:AC : ED:DF
6:10 : 3:5
equals 6/10:3/5=2:1
These ratios are similar, the just double the size
A swim coach randomly selects 3 swimmers from a team of 8 to swim in a heat.
What is the probability that she will choose the three strongest swimmers?
Answer:
37.5, i think
Step-by-step explanation:
...........................
Answer:
20
Step-by-step explanation:
5 divided by 1/4= 20
3х+5y=14
6x-4y=9
Estimate the solution to the following system of equations by graphing
Answer:
(2.405,1.357)
Step-by-step explanation:
(2.405,1.357)
Identify the slope of each of the following equations.
(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?
Answer:
fg nyg jhb jhg ewvjh
Step-by-step explanation: wedf hcx sdf hbvc
Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?
Question 5 options:
A.The line for one equation is steeper than the other.
B.The line will move from crossing at the y-axis at 5 down to crossing the y-axis at -3
C.The y-intercepts are the same in both equations.
D.The line for each equation will be the same.
Needed A.S.A.P thank you very much!!
Answer:
Option B is correct
Step-by-step explanation:
The equation of a straight line is given as;
y = mx + b
where m is the slope and b is y-intercept
Let’s evaluate the options one after the other;
A. This is wrong as they both have same slope of 2
C. The y-intercepts are not the same
One is 5, the other is -3
D. This is wrong, the line cannot be the same
Option B is correct
The y-intercept of both varies
While 1 is already appreciated, the other is coming back
Convert 7/4 into a decimal
Answer:
1.75
Step-by-step explanation:
7/4 is 1 3/4, which is 1.75
Hope this helps plz mark brainliest if correct :D
Answer:
1.75
Step-by-step explanation:
★PLSSSSS HELPPPPPPPPP★
The last one is $30 which one ?
Answer:
it may be 30
Step-by-step explanation:
becasue 6x2 is 12 half hour $3 and kayak 15 all that is 30
Answer:
it's 30
Step-by-step explanation:
15 + 6 + 6 + 3
15+15
15 was the down payment, plus six dollars for the hours he was there and then three dollars for the half hour.
M is the amount of money the students collect for selling R raffle tickets. Write an equation that reflects the relationship between M and R?
Answer:
M=24/10R
Step-by-step explanation:
The difference of twice a number and 9.
Answer:
2(9-x)
Step-by-step explanation:
Answer:
2n - 9
Step-by-step explanation:
Twice a number is referring to 2 times n or just 2n. To find the difference you would subtract 2n and 9, 2n - 9
What is the smallest perfect square that can be written as the sum of three different prime numbers?
Answer:
19 is the smallest prime number that is the sum of three different prime number.
Step-by-step explanation:
To find this:
2 is the only even prime number and other prime numbers are odd
adding any two prime number always gives even number.
so the least numbers that are required to do is 3,5 and 7; their sum is 15
so any prine number less than 15 is not possible for this question
so, the next prime number is 17
17 minus any other prime no less 17 are13,11,7.5.3,2 give the number that 4,6,10,12,14,15 which are not sum of any two different prime numbers
so the answer is 19=11+5+3.
The smallest perfect square that can be written as the sum of 3 different prime numbers is; 16.
Prime numbers are numbers that can be divided by only themselves and 1.Now, we want to find the smallest perfect square that can be written as the sum of three prime numbers and so let us list the perfect squares from 1 to 30.
They are; 4, 9, 16, 25.
Now, for 4; sum of 3 different prime numbers cannot work here because it will give us 1 + 2 + 3 = 5.For 9; sum of 3 different prime numbers cannot work here because it will give us 2 + 3 + 5 = 10.For 16; sum of 3 different prime numbers will work here because it will give us 2 + 3 + 11 = 16Thus, the smallest perfect square that can be written as the sum of 3 different prime numbers is 16.Read more at; https://brainly.in/question/17539113
Each big square below represents one whole
Answer:
= 61%
Step-by-step explanation:
Shaded is 1.22 out of 200
Shaded is .61 out of 100
TOTAL IS 61%
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Need some serious help ASAP (will give brainliest)
Stacy goes to the county fair with her friends . The total cost of ride tickets is given by the equation c=3.5t , where c is the total cost of tickets and t is the number of tickets . If Stacy brought 15 tickets she would spend how much money ?
Answer:
$52.5Step-by-step explanation:
Step one:
given data
we are given that the linear function for the cost is c=3.5t
c is the cost and
t is the number of tickets.
We are told that t=15, to find c, let us put the value of t in the linear function for the cost
[tex]c=3.5(15)\\\\c=52.5[/tex]
This shows that 15 tickets will cost $52.5
what is the answer to 4w^4+w^4+3w^2-2w^2
Answer: 5w⁴ + w²
Step-by-step explanation: Pic is attached. Hope this helps. Sorry for bad handwriting, Im writing with a mouse.