9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
Answer:
Try reading it over
Step-by-step explanation:
how do you solve for x? 3 + 2x = 4y
Answer:
x= 2y - 3/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=2y - 3/2
Step-by-step explanation:
5. Solve for q if 5q - 21 /14= 1.
5q - 21/14 = 1
First add 21/14 to both sides to get:
5q = 1 21/14
Simplify the right side:
21/14 = 3/2 = 1 1/2
Now you have 5q = 2 1/2
Divide both sides by 5:
q = 1/2
Please help and when you get you answer it should be either ending in
cents, t-shirts, partners, Dollars
Answer:
1/6x = 45x = $270Step-by-step explanation:
There are 6 friends total and for them to make $45 each, you would need to multiply 6 to 45. The only way you could do this is if you have a fraction supporting the variable.
1/6x = 45
~Multiply 6 to both sides
x = 270
Best of Luck!
Answer:
[tex]\huge\boxed{\$ 270}[/tex]
Step-by-step explanation:
We can break this problem down to understand it.
Chad and his friend make an unknown amount of money while selling t-shirts. We'll assign this to a variable, [tex]x[/tex].
After splitting it amongst him and his 5 friends, he wants everyone to have $45.
Therefore, we can multiply the profit per person by the number of people to find how much money has to be made in total.
Chad + 5 people = 6 people
We can write an equation for this problem.
[tex]\displaystyle \frac{1}{6}x=45[/tex]
To solve this, we multiply both sides by 6 to cancel out the [tex]\frac{1}{6}[/tex] (as [tex]\frac{1}{6} \cdot 6 = 1[/tex]).
[tex]45 \cdot 6 = 270[/tex]
Hope this helped!
y is directly proportional to x.
(y = 44
when
x = 4.)
Find a mathematical model that represents the statement. (Determine the constant of proportionality.)
Answer:
11
Step-by-step explanation:
Trust me
Answer:
Step-by-step explanation:
directly proportional means it is in the form
y=kx, given y=44 and x=4
44=4k
k=11
At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. Machine 2 produced 180 satisfactory pistons and 20 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory
Answer:
[tex]0.7[/tex] is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory
Step-by-step explanation:
The two events are independent of each other.
Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2
Substituting the given values we get
Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]
=[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]
=[tex]= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7[/tex]
A line passes through the point (10,-8) and has a slope of -1/2. Write an equation in slope-intercept form for this line
PLEASE HELP!!!
10 in.
A semicircular
window has a
radius of 10 in.
What is the area of
the window?
Answer:
area of window=1/2(πr²)=πr²/2=10²/2 π=50πinch²=50×3.14=157inch²
With a coupon, you can get a pair of shoes that normally cost $84 for only $72. What percentage was the discount. Please give the step by step explanation!
Answer:
14.28%
Step-by-step explanation:
Given that,
You can get a pair of shoes that normally cost $84 for only $72.
We need to find the discount percentage. So, it can be calculated as follows :
[tex]\%=\dfrac{84-72}{84}\times 100\\\\\%=14.28\%[/tex]
So, the required percentage is 14.28%.
y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
6 quarts is how many fluid ounces
Answer:
its 192 fluid ounces
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
Sorry i don't know how to type my work out. (But i did check my work 3 times you can rest easy because this answer is correct.)
The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 259ft per hour. The tortoise takes 8hrs longer than the hare to finish. a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answer:
Step-by-step explanation:
1). Let the distance of the race = x feet
Speed of hare = 250 feet per hour
If it takes the time to complete the race = t hours
Since, Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
250 = [tex]\frac{x}{t}[/tex]
t = [tex]\frac{x}{250}[/tex]
2). Speed of tortoise = 50 feet per hour
Time taken by the tortoise [tex]t_1=\frac{x}{50}[/tex]
So the equations will be,
t = [tex]\frac{x}{250}[/tex] -------(1)
[tex]t_1=\frac{x}{50}[/tex] -------(2)
3). Since, tortoise took 8 hours longer than hare,
[tex]t_1[/tex] - t = 8
[tex]\frac{x}{50}- \frac{x}{250}=8[/tex]
[tex]\frac{(5-1)x}{250}=8[/tex]
[tex]\frac{4x}{250}=8[/tex]
x = [tex]\frac{250\times 8}{4}[/tex]
x = 500 feet
Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.
a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.
Answer:
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Step-by-step explanation:
Given that;
f(x) = 1.5x²
Now. the probabilities would be the integral of the given function from (-1 to 1)
a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
= (1/2)x³
= 1/2 - 0
= 0.5
Therefore; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
this will also be done in the same way except that, the limits changes to { 0.5 to 1]
= (1)³/2 - (0.5)³ /2
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
= (0.5)³/2 - (-0.5)³/2
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let the value be 'a'
Then, integral from -1 to a will = 0.05
a³ - (-1)³ = 0.05 × 2
a³ + 1 = 0.10
a³ = 0.10 - 1
a³ = -0.9
a = ∛-0.9
a = -0.9654
Therefore, value of x is -0.9654
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Determine the following probabilities:a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]
= 0.5
So; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
Now
[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let us assume the value be 'a'
So, integral from -1 to a will = 0.05
[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]
a = -0.9654
Therefore, the value of x is -0.9654
Learn more about the probabilities here: https://brainly.com/question/24710931
Need help super fast pls help
Answer:
My answer is 8
Step-by-step explanation:
I calculate the area of all the shapes and added them together
the square comes first = the formlula = a to the power of 2 or just L x W = 2 x 2 = 4
The traingles - the formula = the height x base/2 2 x 2 /2 = 2 ( but there are two traingles so) 2 x 2 = 4
add the two shapes areas together = 4+4 = 8
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer. Explain answer
Answer:
Its odd
Step-by-step explanation:
Which of these polygons is not a regular polygon?
B
С
D
А
B
A
Answer:
B. A regular polygon is a shape with sides that are all equal to each other.
We see that for shape B, the sides are not equal to each other, as some sides are longer than others.
Hope this helps!
Pls help I’ll brainlest ASAP
Answer:
He is 15 years old.
Step-by-step explanation:
I hope this helps :)
Answer:
Artaud is 15 years old
Step-by-step explanation:
Imagine Artaud is x yearrs old.
Now, turning the words in the problem into math equations, we get:
-x + 42 = 27.
Solving for x, we get:
-x = -15
x = 15.
So, Artaud is 15 years old.
A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the outside of the garden. The area of the garden and the walkway together are 320 square feet. What is the width of the walkway
Answer:
The width of the walkway is of 12.86 feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:
A = lw
A rectangular garden has a width of 10 feet and a length of 14 feet.
So the area of the rectangular garden is of 10*14 = 140 square feet.
The area of the garden and the walkway together are 320 square feet.
So the area of the walkaway is of 320 - 140 = 180 square feet.
What is the width of the walkway
It has the same length of the garden, of 14. So
[tex]14w = 180[/tex]
[tex]w = \frac{180}{14}[/tex]
[tex]w = 12.86[/tex]
The width of the walkway is of 12.86 feet.
Solve for the missing side of the triangle
sin53=x/15
0.798×15=x
x=11.98is your answer
A 6 foot man measured his shadow at13 feet 9 inches. Then he measured the
shadow of a flagpole at 125 feet. How tall is the flagpole?(Round to the
nearest tenth)
Answer:
The flagpole is 54.5 inches tall.
Step-by-step explanation:
We solve this question using proportions, by rule of three.
Each feet has 12 inches. So
A 6 foot man measured his shadow at13 feet 9 inches.
So when the real height is of 6 feet, the shadow is of 13 feet + (9/12) feet = 13.75 feet.
When the shadow is of 125 feet, the height is x. So
6 feet - 13.75 feet
x feet - 125 feet
Applying cross multiplication
[tex]13.75x = 6*125[/tex]
[tex]x = \frac{6*125}{13.75}[/tex]
[tex]x = 54.5[/tex]
The flagpole is 54.5 inches tall.
Write a ratio, in simplest form, and a percent for the shaded area. (3x4)
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
If you score a 99, what percentage of the population scored above you?
Answer:
1%
Step-by-step explanation:
Answer:
1% pf the population scored above you
Step-by-step explanation:
make brainliest
PLEASE HELP WILL GIVE BRAINLIST
if cos theta = 3/5, then tan theta =
Step-by-step explanation:
cos theta=3/5
theta=53.13°
tan theta =1.33
Most Popular Last Names. In alphabetical order, the six most common last names in the United States in 2018 are Brown, Garcia, Johnson, Jones, Smith, and Williams (United States Census Bureau website). Assume that a sample of 50 individuals with one of these last names provided the following data:
Brown Williams Williams Williams Brown
Smith Johnson Williams Smith Miller
Johnson Williams William Johnson Jones
Miller Jones Jones Smith Smith
Miller Johnson Smith Jones Jones
Johnson Smith Brown Smith Johnson
Jones Smith Smith Williams Brown
Johnson Johnson William Smith Brown
Smith Miller Johnson Brown Johnson
Brown Jones Miller Smith Miller
Summarize the data by constructing the following:
A. Relative and percent frequency distributions
B. A bar chart
C. A pie chart
D. Based on these data, what are the three most common last names?
Answer:
Kindly check attached picture for barchart and piechart distribution
Step-by-step explanation:
Given the name data:
Name ____ freq ___R/Freq ____% frequency
Brown ____7 ______0.14 ______14
Smith ____ 12 -____ 0.24 ______24
Williams__ 8 ______0.16 ______ 16
Miller ____6 ______0.12 ______ 12
Jones ___ 7 ______ 0.14 ______ 14
Johnson _ 10 _____ 0.20 ______20
The three most popular last names are :
Smith, Johnson and Miller
Based on the information given in the bar chart, it should be noted that the most popular last names are Smith, Johnson, and Williams.
Solving the bar chart.It should be noted that the information given in the question is used in solving the bar chart and pie chart.
The name with the least number of people is Miller. On the other hand, the most popular last names are Smith, Johnson, and Williams.
Learn more about bar charts on:
https://brainly.com/question/24741444
11. There are 14 boys and 16 girls in Mr. Allen's
class. What is the ratio of girls to the total
number of students in the class? Write the
ratio in 3 ways.
Answer:
16 : 30, 16 to 30, 16/30
Step-by-step explanation:
Answer:
The ratio of boys to girls in the simplest form is 7:8
Step-by-step explanation:
There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.
A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?
Answer:
The clock will be 50 minutes fast
Step-by-step explanation:
Proportions
It's known a clock gains time at a steady state, or constant rate.
At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.
From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes
Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.
When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.
Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.
The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.
The clock will be 50 minutes fast
PLEASE HELP GEOMETRY
Answer:
2x=8
x=4
Step-by-step explanation:
Which expression is the simplest form of 5(x-3)-3(2x+4)/9 ?
A. -x-3/9
B. -x-27/9 C.11x-27/9
D.-x-3
If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
Mid-Mod 3 Review
Name
1 Lisa used 5 orange juice containers, From the fust container, she poured out gallon of
orange juice. She then poured out 'h gallon from each of the four remaining containers,
a. How much orange juice did Lisa pour out in all? Show and label all your work.