Answer:
32.5 miles
Step-by-step explanation:
Given that:
Eastbound bus :
0.8 miles every 45 seconds
Speed per second :
0.8 / 45 = 0.0177777 miles per second
Distance after 15 minutes
(15 * 60) * 0.0177777 = 16 miles
Westbound bus:
0.55 miles every 30 seconds
Speed per second :
0.55 / 30 = 0.0183333 miles per second
Distance after 15 minutes :
(15 * 60) * 0.0183333 = 16.5 miles
Distance apart :
16 miles + 16.5 miles = 32.5 miles
METHOD 2:
Distance covered after 15 minutes :
15 minutes = 15 * 60 = 900 seconds
Distance apart after 900 seconds :
[0.8 * (900/45)] + [0.55 * (900/30)]
16 + 16.5
= 32.5 miles
The supplementary angle of 77° is
Answer:
103°
Step-by-step explanation:
A supplementary angle is when two angles add up to be 180°. So, we can subtract to find its suplement.
180 - 77 = 103
Best of Luck!
Write the equation in slope-intercept form of a line that passes through the point (-6, -12) and is perpendicular to y=-2x+5.y=−2x+5.
Answer:
Step-by-step explanation:
The standard form of equation of a line in slope-intercept form is expressed as:
y =mx+c
m is the slopw
c is intercept
Get the slope of the known line
since y = -2x+5
slope m = -2
Get the slope of unknown line
Since the unknown line is perpendicular to tis line, then
Mm = -1
M = -1/m
M = -1/-2
m = 1/2
Get the intercept of the unknown line:
Substitute the point (-6,12) and m = 1/2 into the equation y = mx+c
12 = 1/2(-6) + c
-12 = -3 + c
c = -12+3
c = -9
Get the equation of the unknown line:
Substitute m = 1/2 and c = -9 into the equation y = mx+c
y = 1/2x -9
2y = x - 18
2y-x = -18
Hence the equation in slope-intercept form of a line that passes through the point (-6, -12) and is perpendicular to y=-2x+5 is 2y-x = 18
Write in simplest form -4+9/-6
Answer:
The answer is -58
I need some help..........
Answer:
80 kilograms
Step-by-step explanation:
W=80+5.4t
The question is asking BEFORE therefore it is 80 because 5.4 is how much me gains a month.
NEED ASAP
For a sewing project, Tanya cut isosceles triangles from a striped piece of material where the stripes are parallel. The vertex angle of the isosceles triangle is 50° and overline BC is parallel to the base.
What is the measure of BCE as shown in the diagram? Show your work and
explain your reasoning.
Answer:
∠BCE is 115°
Step-by-step explanation:
The given parameters are;
The shape Tanya cut from the striped piece = Isosceles triangles
The measure of the vertex angle of the isosceles triangle = 50°
The segment [tex]\overline {BC}[/tex] is parallel to the base [tex]\overline {FG}[/tex]
Therefore, we have;
∠GAF + ∠AGF + ∠AFG = 180°; Sum of the interior angles of a triangle
∴ ∠AGF + ∠AFG = 180° - ∠GAF = 180° - 50° = 130°
∠AGF = ∠AFG; Base angles of an isosceles triangle
∴ ∠AGF + ∠AFG = ∠AGF + ∠AGF = 2 × ∠AGF = 130°
∠AGF = 130°/2 = 65°
∠AGF = 65°
∠AGF ≅ ∠ACB, corresponding angles of two parallel lines, [tex]\overline {BC}[/tex] and [tex]\overline {FG}[/tex] cut by a transversal [tex]\overline {AG}[/tex]
∠AGF = ∠ACB = 65°, definition of congruency
∠ACB + ∠BCE = 180° Sum of angles on a (straight) line
∠BCE = 180° - ∠ACB = 180° - 65° = 115°
∠BCE = 115°
Find the sum and product of zeroes of the quadratic polynomial 2x2-7x+5 and verify the
results.
• 2x²-7x +5 =0
=> 2x²-5x-2x+5 = 0
=> x ( 2x-5)-1(2x-5)=0
=> (x-1)(2x-5) = 0
• x-1=0
=> x= 1
• 2x-5=0
=> x = 5/2.
Now , Verification :
Here , a= 2 ,b= -7 and c = 5
As we know that :
• Sum of zeroes = -b/a
• 5/2+1 = -(-7)/2
• 7/2 = 7/2
LHS = RHS.
• Product of zeroes = c/a
=> 1(5/2)= 5/2
=> 5/2 = 5/2.
LHS = RHS ..
Hence, verified .
I hope it will help you.
Regards.
PLS HELP! I WILL REWARD AND GIVE BRAINLIEST!!
what is the slope of this line?
enter as a fraction in simplest form.
Answer:
1/4
Step-by-step explanation:
Points are (0, 6) and (-4,5).
[tex]\frac{6-5}{0-(-4)}=\frac{1}{4}[/tex]
Ms. Lee went and got a haircut for $35.00, and the tax was 7%. She also left a 30% gratuity for the hairdresser.
3a. What was the total amount Ms. Lee spent for the haircut?
Answer:
$48.685 or $48.69
Step-by-step explanation:
Bill = 35 * 1.07 = 37.45
Tip: 37.45 * .30 = 11.235
Total: 37.45 + 11.235 = $48.685 or $48.69
While reviewing last months finances Oscar noticed that he had spent $200 on a wedding cake and deposited $500 and he just earned from selling books to a used bookstore down here again spent $127 to buy some new box which integer represents the change an Oscar savings
Answer:
an additional $173.
Step-by-step explanation:
The change in Oscar's savings is calculated by adding or subtracting all of the different transactions that have occurred. First, he spent $200 which would be a deduction and be subtracted from his initial balance. Next, he deposited $500 which is added to his balance, and lastly, he spent $127 which is subtracted from his balance. Like so...
-200 + 500 - 127 = $173
The final result is positive $173, this means that the change from his initial balance to his current savings balance is an additional $173.
What's the equation of a line that passes through (3, 4) and (0, -2)
Show work pleaseeee
Plz answer it’s timed
Answer:
2 and third
Step-by-step explanation:
Answer:
timed?
Step-by-step explanation:
Isabelle has a five-sided chicken coop in her yard. Each side has an equal length. What is the total perimeter of the chicken coop if the length of one side is yards? Recall that the perimeter is the sum of all sides of a shape or boundary.
Answer:
P = 175 yards
Step-by-step explanation:
Isabelle has a five-sided chicken coop in her yard. The length of each side is equal.
Let the length of one side is 35 yards.
We need to find the total perimeter of the chicken coop.
Perimeter = sum of all sides of a shape or boundary
P = 35+35+35+35+35
P = 5(35)
P = 175 yards
So, the perimeter of the chicken coop is 175 yards.
Answer:
It is 15 then weird symbol thing, then five or B
Step-by-step explanation:
Walking at a constant rate, Fred covers
10 miles in 4 hours. Predict how far he can hike in 10 hours.
Answer:
Fred will walk about 25 miles after 10 hours.
Step-by-step explanation:
First you have to find how much he walks in one hour, to do that you divide 10 by 4 to get 2.5
Then you multiply 2.5 by the 10 hours to get 25.
Hope that helps and have a great day!
Answer:
he can cover 25 miles
Step-by-step explanation:
10/4= 2.5 10x2=20 2.5x2=5 20+5=25
HEEEELP i really really need help!
Answer:
it would be A $3 49
Step-by-step explanation:
Answer:
Step-by-step explanation:
change 1 4/6 to a number
Use the following functions to simplify the expressions. f(x)=3x−1 and g(x)=5−x f(−4)= For what value of x does g(x)=−4?
x=24
Lopum no deu sins se ca louiamoenqi
i can get some help please
Answer:
120°
Step-by-step explanation:
3x-105+2x+10=180
collect like terms
5x-95=180
5x=275
x=55
angle 8 is equal to angle 6 because vertically opposite angles are equal
angle 6 =(2x+10) = 120
therefore angle 8 =120 degrees
2 12 oz. bag of chips for $3.40
or
a 3 oz. bag for $0.75
Answer:
what is the question?
Step-by-step explanation:
you have to explain the question first
Write the equation of the line passing through (-5, -11) and (-2, 1) in slope-intercept form
Answer:
y=4x + 9
Step-by-step explanation:
(-5, -11) (-2, 1)
y2 -y1 = 1 - -11 = 12
x2 -x1 = -2 - -5 = 3
12/ 3 Simplify = 4 your slope is 4/1
How is the integer 1,995 expressed as a rational number?
Answer:
thats a tricky one
Step-by-step explanation:
stephen had 24 miniature cars he gave 4 cars to his brother then he passed the rest of the cars out equally among 4 friends which operation would you use to represent the first part of this situation?
Answer:
5
Step-by-step explanation:
24- 4= 20/ 4 = 5
Answer:
5
Step-by-step explanation:
24 - 4 = 20
20 divided by 4 = 5
Hope this helps☺️
A group of friends were working on a student film that had a budget of $700. They used $469 of their budget on props. What percentage of their total budget did they spend on props?
Answer:
its 67 percent ur welcome
Step-by-step explanation:
Caleb is making a soil mix that is 3 parts peat moss to 12 parts dirt. How much dirt should he use for every 1 cup of peat moss?
A He should add cup of dirt
B. He should add cup of dirt.
4
He should add 3 cups of dirt.
He should add 4 cups of dirt
Answer:
He should use 4 cups of dirt, Choice D
Step-by-step explanation:
Ratio of moss to dirt: 3:12 The ratio simplifies to 1:4
This shows that for every cup of moss, he should use 4 cups of dirt as the ratio says.
Answer:
4 cups of dirt
Step-by-step explanation:
since it is a ratio of 3:12, it can be put as a fraction of 3/12 which can be simplified to 1/4 thus is the ratio of 1:4 thus 1 part peat moss to 4 parts dirt and since the measurement is cup, you change parts to cups and you have your answer.
A boat can travel 32 miles on 4 gallons of gasoline. How much gasoline will it need to go 48 miles?
Answer:
6 gallons
Step-by-step explanation:
32/4=8
48/8=6
Answer: 6
Step-by-step explanation: If 4 gallons can take you 32 miles, divide 4 into 32 to get 8. That means 8 miles is 1 gallon. Now just do 48/8 to get 6.
[tex]\sqrt8a-5-\sqrt6a+8=0[/tex]
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
You would start by writing it out again then simplifying.
[tex]\sqrt{8}a-5-\sqrt{6}a+8=0\\.378937a+3=0[/tex]
Now let's subtract 3 from both sides...
[tex].378937a=-3[/tex]
Now we'll divide the sides by .378937....
[tex]a=-7.916883[/tex]
So a equals -7.916883
Translate the point D(2, -4) 7 units to the left and 2 units down. What are the coordinates of the new point? Write your answer as an ordered pair (x, y). *
Answer:
(-5, -6)
Step-by-step explanation:
Solve this by doing x- and y- separately.
For the x-axis:
Let right be the positive direction, so x = 2 -7
x = -5
For the y-axis:
Let up be the positive direction, so x = -4 -2
x = -6
Hope that helps!
Please help will give brainliest if given the option to.
Answer:
Don't worry it's easy just try
Answer:
Vt=875-50t
V(4)=875-50(4)
V(4)=875-200
V(4)=675
Sodium inc borrowed 280000in April 1the note requires interest at 12% and principal to be paid in one year, how much interest is recognized for the period from April 1 to December 31?
Given:
Principal = 280,000
Rate of interest = 12% per annum.
Time period is from April 1 to December 31.
To find:
The interest recognized for the period from April 1 to December 31.
Solution:
Time period from April 1 to December 31 is 9 months.
12 months = 1 year
1 month = [tex]\dfrac{1}{12}[/tex] year
9 month = [tex]9\times \dfrac{1}{12}[/tex] year
So,
[tex]Time=9\times \dfrac{1}{12}[/tex]
[tex]Time=\dfrac{9}{12}[/tex]
[tex]Time=0.75[/tex]
Formula for interest is
[tex]I=P\times r\times t[/tex]
where, P is principal, r is rate of interest and t is time.
[tex]I=280,000\times \dfrac{12}{100}\times 0.75[/tex]
[tex]I=25200[/tex]
Therefore, the the interest is 25,200.
Your family budgets $160 to spend on fuel for a trip. How
many times can they fill the car's gas tank if it cost $25
each time?
Answer:6.4 times
Step-by-step explanation: 160 divided by 25 is 6.4
Jack works after school. Each day he is paid a set amount, plus an hourly wage.
Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38
Which is a reasonable domain for the function f(x) = 10x + 8?
A. 0 < x < 6
B. 0 < x < 24
C. 0 < x < 68
D. 0 < x < 248
Answer:
The correct option is;
A. 0 < x < 6
Step-by-step explanation:
The given data indicates how much Jack is paid on hourly wage is presented here as follows;
Hours [tex]{}[/tex] Pay
1 [tex]{}[/tex] 18
1.5 [tex]{}[/tex] 23
2 [tex]{}[/tex] 28
2.5 [tex]{}[/tex] 33
3 [tex]{}[/tex] 38
Given that the domain is the number of hours worked by Jack after school, and that he receives a set amount at all values of the number of hours worked, a reasonable domain is from 0, at which the pay is 8, to 6 which is less than the normal 8 hours a day job, as he works part time.
Therefore, the correct option is;
A. 0 < x < 6.
