Given :
Distance between them, D = 14 miles .
Mr. Howard can run 3 miles in 30 minutes.
Ms. Egan can run 4 miles in 30 minutes.
To Find :
Time taken by them to meet.
Solution :
Mr Howard speed, [tex]v_H=\dfrac{3}{0.5}=6\ mph[/tex] .
Mr Egan speed, [tex]v_e=\dfrac{4}{0.5}=- 8\ mph[/tex] . [ Since they run in opposite direction ]
Their relative speed :
[tex]v=v_E-v_H\\\\v = 8-(-6) \ mph \\\\v = 14 \ mph[/tex]
Time taken by them to meet :
[tex]T = \dfrac{14}{14}\ hours\\\\T = 1 \ hours[/tex]
Hence, this is the required solution.
What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?
Answer:
y = -6
Step-by-step explanation:
y = mx + b
-6 = -5(0) + b
b = -6
A. an angle measures . What is the measure of its supplement?
B. An angle measures . What is the measure of its complement?
there are 2 parts plz answer both.
Answer:
Fkgjjgjvvkvkkv
Step-by-step explanation:
Mcmvvnvnvfngnfkkfkfkfxkcjccnvnvnvvn
Hhh
The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in simplest form.
The ratio of adults to students is
Answer: 17 to 15
Step-by-step explanation:
Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?
Answer:
13.695
Step-by-step explanation:
78.75/5=15.75/5.75=2.739*5=13.695
What is the final amount if 1885 is increased by 5% followed by a further 18% increase
9514 1404 393
Answer:
2335.515
Step-by-step explanation:
The first increase multiplies the original amount by 1 + 5% = 1.05.
The second increase multiplies the already increased amount by 1 + 18% = 1.18.
Then the final amount is ...
1885(1.05)(1.18) = 2335.515
Find the length of the missing side. The triangle is not drawn to scale
Answer:10
Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10
The missing side 10.
Option C is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Applying the Pythagorean theorem.
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Thus,
The missing side is 10.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ1
Find the slope of the line.
Answer:
4
Step-by-step explanation:
Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?
Answer:
$463.50
Step-by-step explanation:
3% of 450 is 13.50
450+13.50=463.50
hope this helps :3
if it did pls mark brainliest
463.5 idrk
but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5
Which two expressions are equivalent to each other?
Answer:
The answer is 8^11/8^5 and 8^3×8^3
8^11/8^5= 262144
8^3×8^3= 262144
An electrician charges a rate of $65 per hour plus a fee of $75 for a job done during the weekend. She earned $465 for a weekend job.
Part A. Enter an equation to find the number of hours, h, the electrician worked on this job.
Part B. How many hours did the electrician work?
Answer:
(465 - 75) ÷ 65
She worked for 6 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
jj
Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10
What is the slope of the line that passes through these two points (0, -2) and (3, -4)?
Answer:
2
Step-by-step explanation:
Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2
The slope of the line will be "[tex]-\frac{2}{3}[/tex]".
The given points are:
[tex](x_1, y_1) = (0, -2)[/tex]
[tex](x_2, y_2) = (3, -4)[/tex]
As we know,
→ The slope of the line:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
= [tex]\frac{-4-(-2)}{3-0}[/tex]
= [tex]\frac{-4+2}{3}[/tex]
= [tex]-\frac{2}{3}[/tex]
Learn more about slope of line here:
https://brainly.com/question/18891994
Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?
Answer:
280/3
Step-by-step explanation:
multiply the number by 10x
subtract it by the original number on both sides
it should give u 9x to whatever answer u got multiply by 10 then divide by 90
Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =
Answer:
c= 14-7i-zdi
d=14/zi - 7/z - c/zi
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.
The sum of twice a number and 4 is -22. Find the number
Answer:
-13
Step-by-step explanation:
let the unknown number be x
2x + 4=-22
2x=-22-4
2x=-26
divide both sides by 2
x=-13
Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere
Answer:
cylinder
Step-by-step explanation:
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
I need this answer ASAP!!!!!!
What is 1 + 2?
Answer:
3
Step-by-step explanation:
which statement is true
Answer: The answer is D. the data distribution is skewed to the right.
Step-by-step explanation:
Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.
f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA
The translation of the given question is
f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient
Answer:
We need to determine slope and position coefficient which is the intercept.
f (x) = - 8x− 4 we know that f(x) is y
slope intercept form of the line
y = -8x -4
slope = -8
intercept = -4
similarly
f (x) = 6x− 12
y = 6x -12
slope =6
intercept = -12
Elizabeth and her sister earned money shoveling snow over winter break. Altogether, they shoveled for a total of 30 hours. Elizabeth charged her customers $12 per sidewalk, and her sister charged $11 per sidewalk. If they earned $347.50 total, how many hours did each girl spend shoveling?
Answer:
Step-by-step explanation
$12x17.5=210
$11x12.5=137.5
210+137.5=$347.5
Elizabeth worked for 17.5 Hours
Her sister worked 12.5 hours
PLEASE BE A LIFE SAVERRR AND HELP ME ITS SO IMPORTANT
Answer:
a
Step-by-step explanation:
Using the equation y = 3x – 5, what would the output be for an input of 4
Answer:
output(y)=7
Step-by-step explanation:
y=3(4)-5
<=> y= 12-5
<=> y= 7
Evaluate 2x
2 + y if the values of x = 3, and y = 10
Answer:
6,12
Step-by-step explanation:
i have no idea what to do
do u want me to evaluate 1 problem or 2
Write the following algebraically:
I think of a number, take away one and multiply the rest by 3.
Answer:
y = 3(x-1)
Step-by-step explanation:
Here is an example so you know it works.
Regular: I pick 58 I take away 1 = 57*3=171
Algebraically: y = 3(58-1) First do parenthesis
y = 3(57)
y = 171
Hope this helps!!
Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?
Answer:
No it would not be because two sides added up would not equal the other side
Step-by-step explanation:
Answer:
No it is not.
Step-by-step explanation:
All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.
Squares of the two shorter sides:
[tex]9^{2}+15^{2}=306[/tex]
Square of the longer side:
[tex]17^{2}=289[/tex]
∵ [tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.
I hope this helps :)
Help me now!!!!! This is due at 12
Answer:
umm what grade are you in???
144/9= 16!!!!!
Step-by-step explanation:
anyways wont act exactly like you and the answer is 16
(10pts) A train left a station at 8:00 am
going at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?
Answer:
12:00 i think
Step-by-step explanation:
hope this helps
There are 8 big fish for every
small fish.
There are 4 big fish for every
small fish.
If you factor 27x^3+1 in form (a-b)(a^2+ab+b^2) what is the value of a?
Answer:
3x
Step-by-step explanation:
i took the test and got it right