Answer:
speed of bus = 33 mi/hr
speed of motorcycle = 31 mi/hr
Step-by-step explanation:
Let the speed of the motorcycle be x mi/h.
Now, we are told that the bus averages 2 mi/hr faster than the motorcycle. Thus, speed of bus = (x + 2) mi/hr
Formula for time is; t = distance/speed
Since distance covered by bus is 165 miles, then t_bus = 165/(x + 2)
Since distance covered by motorcycle is 155 miles, then t_motorcycle = 155/x
We are told that the bus and the motorcycle used the same time to cover their respective distances. Thus;. t_bus = t_motorcycle
Thus;
165/(x + 2) = 155/x
Cross multiply to get;
165x = 155(x + 2)
165x = 155x + 310
165x - 155x = 310
10x = 310
x = 310/10
x = 31 mi/hr
Then speed of bus = 31 + 2 = 33 mi/hr
Evaluate: (4/25)^1/2
To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 2 years.
The solution for this problem is:
Let x be the number of months; and
Let y be the amount paid
We know that m is $199 per month and the two other given are 6 months and 2694.
y = 199 (x -6) + 2694
y = 199 (36 -6) + 2694
y = 199 (30) + 2694
y = 8664
Mr. Scott paid $8664 after 3 years.
Can someone help me pleasee :)
Answer:
ill help you
Step-by-step explanation:
Please I will give brainliest
Write an equation of the line shown in the graph in slope intercept form (y = mx + b). Show
your work for full credit.
(4,6)
(2, 2)
Answer:
y = 2x - 2
Step-by-step explanation:
Points on graph: (4,6) and (2, 2)
Slope:
m=(y2-y1)/(x2-x1)
m=(2-6)/(2-4)
m=(-4)/(-2)
m = 2
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 2(x - 4)
y - 6 = 2x - 8
y = 2x - 2
I need help what is y over 5>= 8
Answer:
3 i think
Step-by-step explanation:
8. The talent show committee sold a total of 530 tickets in advance. Student
tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were
$1740, how many of each type of ticket were sold?
... please solve this using systems of equations
Answer:
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets
Step-by-step explanation:
Let
Number of students tickets sold = x
Number of adults tickets sold = y
x + y = 530 (1)
3x + 4y = 1740 (2)
From (1)
x = 530 - y
Substitute x = 530 - y into (2)
3x + 4y = 1740
3(530 - y) + 4y = 1740
1590 - 3y + 4y = 1740
- 3y + 4y = 1740 - 1590
y = 150
Substitute y = 150 into (1)
x + y = 530
x + 150 = 530
x = 530 - 150
x = 380
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets
I WILL MARK SOMEONE BRIANLIEST!!! SOMEONE HELP
Answer:
See below
Step-by-step explanation:
[tex] \because \: we \: know \: that \\ {2}^{0} = 1 \\ \\ \implies \: log_{2}1 = 0 \\ (if \: {a}^{m} = n \implies \: log_{a}n = m)[/tex]
15 POINTS!!!!!
Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"
A. SAS
B. AAS
C. ASA
D. SSA
E. Not Congruent
Answer:
A. SAS
the triangle is congruent by side angle and side
Chad has 1.4 gallons of milk. There are about 3.79 liters in 1 gallon. How many liters of milk does Chad have?
A. 3.79
B. 5.31
C. 2.71
D. 0.37
Answer:
The answer is B. 5.31 gallons
Step-by-step explanation:
How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?
a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years
Answer:
1. 15.9 years
Step-by-step explanation:
You must solve this equation:
[tex]6000 \cdot 1.091^n > 24000[/tex]
So [tex]1.091^n > 4[/tex]
Take the log left and right:
[tex]\log 1.091^n > \log 4[/tex]
use the log property that you can put the exponent in front:
[tex]n \cdot \log 1.091 > \log 4[/tex]
[tex]n > \frac{\log 4}{\log 1.091}[/tex]
n > 15.917
What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m
Answer:
81m²
Step-by-step explanation:
I took the quiz :)
Answer:
81
Step-by-step explanation:
got it right
WHAT IS THISSSSSSSSSSSSS
Answer:
1 is to 2
Ie
1/2
Step-by-step explanation:
hope it helps
Answer:
2 to 1
which equals 2
Step-by-step explanation:
if you look at point B (2,1) and B’ (4,2)
we can see that each value is multiplied by 2
ill give brainlist if your correct
Answer:
I KNOW this is not an awnser but im doing the same things as you for summer school help me i help you?????
Step-by-step explanation:
pls also i think it is like c I dont know thou
Mike walked 5/8 of the way to school before it started raining.how many percent of the trip did he get before it rained
Answer:
62.5%
Step-by-step explanation:
To find the percent, divide 5 by 8, and multiply it by 100:
5/8
= 0.625
0.625(100)
= 62.5
So, Mike walked 62.5% of the trip
Answer:
62.5%
Step-by-step explanation:
5/8 As A Decimal Is 0.625
So Inequalify 5/8. So, 62.5/100
then convert 0.625 by 5/8, Which is 62.5.
So your answer is 62.5%.
What are the real or imaginary solutions of each polynomial equation?
If you can answer both questions thank you
The side lengths of the figure below are given in centimeters. If the perimeter of this figure is 78 cm, what is the value of x?
I need help please ASAP lm really stuck on this question
Answer:
y=2x+3
Step-by-step explanation:
slope is rise over run. goes up to and over one so your slope is 2/1 or 2.
the c part of the equation of the line is your y-intercept(where the line crosses the y-axis) this is at 3.
so, y=2x+3
Please help on these two question it is due today please help me.
Answer: 7 is 6 feet by 21 feet
8 is 12 inches
Step-by-step explanation:
HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
Answer:
I only know the area sorry it is 7.065 ft2
Answer:
Perimeter: 7.712
Area: 3.534
Step-by-step explanation:
A= [tex]\pi*r^{2}/2\\[/tex]
L=[tex]\pi *r/2\\[/tex]
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
Will give brainliest plz help!
Answer:
6.28cm
Step-by-step explanation:
I think for me the easiest would be to find the circumference and divide by 4, since the arc is 1/4 of the circumference of the circle.
C=2πr
C=2(3.14)(4)
C = 25.12cm
25.12cm/4 = 6.28
Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=
6, 18, 54, 162
What is the common ratio
Answer:
3
Step-by-step explanation:
The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162
its 94 i said it first tho so does that mean i get brainliest
Answer:
YA if you said it first ya you are supposed to get brainlies ONLY if the question says will give brainliest if your right
Step-by-step explanation:
Find the distance between the pair of points. (4,1) and (9,6)
Answer:
5√2 or 7.07 units
Step-by-step explanation:
To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (4,1) and (9,6)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(9 - 4)² + (6 - 1)²]
Simplify the parentheses.
d = √[(5)² + (5)²]
Simplify the exponents.
d = √[25 + 25]
Add.
d = √[50]
Evaluate the radical.
5√2 or 7.07
Round the decimal.
5√2 or 7.07 units
Hope this helps!
find the slope hurry pleaseeee
Answer:
I think the answer is ¼, im not 100% aure tho.
Step-by-step explanation:
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answer:
I think the last one is the answer
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?
Answer:
6+8-2=12, 15-12=3 answer=3