A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.
● On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52
miles.
● On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of
119 miles.
What is the length of the Green Route in miles?
A .4.4 mi
B. 4.5 mi
C. 6.4 mi
D. 6.8 mi
Answer:
B. 4.5 mi.
Step-by-step explanation:
Let g = length of green route
b = length of blue route
(1) 6g + 5b = 52 (2) 12g + 13b = 119
Mult. (1) by -2 -12g - 10b = -104
3b = 15
b = 5
6g + 5(5) = 52
6g + 25 = 52
6g = 27
g = 27/6 = 9/2
The length of the Green route is 4.5m and the length of the Blue route is 5m and this can be determined by forming the linear equation.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
Let the length of the Green route be 'a' and the length of the Blue route be 'b' then on Monday bus traveled:
6a + 5b = 52 ---- (1)
On Tuesday the bus traveled:
12a + 13b = 119 ----- (2)
Now, solve the equation (1) for 'a'.
a = (52 - 5b) /6 ------ (3)
Now, put the value of 'a' in equation (2).
12 (52 - 5b) / 6 + 13b = 119
b = 5 m
Now, put the value of b in equation (1).
6a + 5b = 52
a = 4.5 m
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Brainlytest!!! Easy!
Answer: 20% does chores but don't get allowance (me)
Step-by-step explanation: 5 is 20% of 25.
Answer:
20%
Step-by-step explanation:
5 is 20% of 25
The measures of two complementary angles are m<1 = 16z- 9 and m<2 = 4z - 1. Find m<2
Answer:12
Step-by-step explanation:
evaluate (1/2)^4 in a whole number
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
[tex] \frac{1}{16} [/tex]
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]
[tex]( \frac{1}{2}) {}^{4} \\ = \frac{1 {}^{4} }{2 {}^{4} } \\ = \frac{1}{2 {}^{4 } } \\ = \frac{1}{16} [/tex]
꧁____❀EDILYN❀____꧂please answer asap
Angles a and b are...?
Choose all that apply.
a) Vertical
b) Supplementary
c) Adjacent
d) Complementary
Answer:
Supplementary and Complementary
What is the area of a regular pentagon with a side length of 10 inches and a distance from the center to a vertex of 10 inches? Round your answer to the nearest tenth.
Answer:
[tex]A=172.04\ in^2[/tex]
Step-by-step explanation:
Given that,
The side length of a regular pentagon = 10 inches
The distance from the center to a vertex of 10 inches
The formula for the area of a regular pentagon is given by :
[tex]A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5} } }\ a^2[/tex]
Put a = 10
So,
[tex]A=\dfrac{1}{4}\times \sqrt{5(5+2\sqrt{5} )} \times 10^2\\\\A=172.04\ in^2[/tex]
So, the area of a regular pentagon is equal to [tex]172.04\ in^2[/tex].
Thank you to anyone who answers .
Answer:
d) 2 tons plus 1,200 pounds.
Step-by-step explanation:
1 ton = 2000
2000 + 2000 = 4000
5200 - 4000
= 1200
hence, the answer is 2 tons plus 1,200 pounds.
hope this helps and is right :)
HELP NO LINKS PLEASE!!! SHOW WORK!!!
Challenge: Find the value of x. Then find the measures of the four angles.
Lines G H and N S intersect at point P, forming 4 angles. Angle G P N is labeled (5 plus 8 x) degrees. Angle S P H is labeled (7 x plus 10) degrees.
(The figure is not to scale.)
The value of x is 5.
Find the measures of the four angles.
Answer:
Step-by-step explanation:
what do how flag of micronesia represent
Answer:
the flag of miscronesia represent:
Step-by-step explanation:
the light blue field represents the Pacific Ocean whereas the four stars represent the states in the federation.
In the diagram, AEF∼ △ DEB. Find the length of side BE
.
Write the proportion to solve for BE :
40 = ____?________
__?____= BE
The length of side BE is = __?__
Please answer asap, will make brainiest
Answer:
SOMEBODY ANSWER THIS
Step-by-step explanation:
PLEASE
State if the triangles in each pair are similar. If so, state how you know they are similar
A.They are similar by the AA rule
B.They are not similar
C.They are similar by the SSS rule
Answer: C. They are similar by the SSS rule
Step-by-step explanation:
There are three ways to prove triangle similar
AA similar theorem--Two corresponding angles in two triangles are the congruentSAS similar theorem--Two corresponding pairs of sides of two triangles are proportional, and the angle in between two sides are congruentSSS similar theorem--All corresponding sides of two triangles are proportional--------------------------------------------------------------------------------
Here, we see in the figures, the side lengths are given, and there are no angles. So, supposedly, we are going to use SSS similar theorem.
Solve
MN corresponds to UV
ML corresponds to UT
LN corresponds to TV
MN/UV=24/8=3
ML/UT=33/11=3
LN/TV=42/14=3
∴MN/UV=ML/UT=LN/TV
∴They are similar
Hope this helps!! :)
Please let me know if you have any questions
A store clerk put out packages of chocolate chip and oatmeal cookies on a shelf. The ratio of the number of packages of oatmeal cookies to total cookies on the shelf was 3 to 10.
Which number could be the number of packages of chocolate chip cookies the clerk put out on the shelf?
a 9
b 6
c 20
d 14
Answer:
D) 14
Step-by-step explanation:
If the ratio of oatmeal to total cookies is 3:10 and chocolate chip is the only other type of cookie, that means there’s 7 choco chip for every 10 total cookies. Assuming the clerk put the cookies out in packages or something of 10, the answer would be D since it is the only answer that is a multiple of 7
Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3,4,1, -2,-8,7
Approximately what was the average low temperature for the week?
Answer:
-8
Step-by-step explanation:
-7+-3+4+1+-2+-8+7=-8divided by7=-1
Which of the following inequalities is equivalent to – 9 <4(x - 3)?
Answer:
x>3/4
Step-by-step explanation:
In an experiment, the probability that event A occurs is 5/9, the probability that event B occurs is 5/8, and the probability that events A and B both occur is
1/5
What is the probability that A occurs given that B occurs?
Simplify any fractions.
Answer:
Step-by-step explanation:
P(A/B)=(P(A∩ B))/P(B)=(1/5)/(5/8)=8/25=0.32
It cost 0.17 to mail a postcard and 0.25 to mail a letter. If Dykov spent $4.35 and wrote postcards and letters to 19 friends, how many postcards did he mail?
Answer:
14 Letters and 5 Postcards
Step-by-step explanation:
What is the cordinate vertex
Awnser options (3,-1)
(-1,3) (0,4) (4,0)
Solve giving your answer in the LOWEST TERMS,
3⅔ × ¾ ÷ 1 5/6
It one whole number 1 and 5/6 but it like like 15/6 but it's not
Answer:
1 1/2 (1 + 1/2)
Step-by-step explanation:
3 2/3 * 3/4 is 2 3/4. 2 3/4 divided by 1 5/6 is 1 1/2.
can someone please help me
Step-by-step explanation:
Post a question please...
Answer:
Sure what is it?
Step-by-step explanation:
When drawn in standard position, which of the following angles is coterminal with 125 ?
(1) -275
(3) 235
(2) 485
(4) 415
9514 1404 393
Answer:
(2) 485
Step-by-step explanation:
Computing the values modulo 360 will show which is equal to 125. It is 485:
mod(485, 360) = 125
Angle 485° is coterminal with 125°.
Answer:
1
Step-by-step explanation:
pls help me with the answer
Answer:
-27
5
10
-13
Step-by-step explanation:
-9*3=-27 -*+=-
-25/-5=5 -/-=+
7-(-3)=7+3=10 -(-)=+
-2+-11=-13 -+-=-
please help
y=-4x-23
y=-2x-8
Answer:
x=-15/2 and y=7
Step-by-step explanation:
y=-4x-23
y=-2x-8
Two methods, substitution and elimination. Elimination is the easiest, so you can subtract the equations.
y=-4x-23
-(y=-2x-8)
----------------------
y=-4x-23
-y=2x+8
------------ so solve :)
0=-2x-15
becomes 2x=-15
so x=-15/2
------------------------ plug in x to solve for y
and you get y=7
Jaime rolls a number cube and spins a colored spinner. The spinner is divided into three equal sections. The tree diagram shows all the possible outcomes that can occur.
Answer:
bLs topper ski. ioej o be r
The true statements are C and D.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Probability = Number of desired outcomes / Total number of outcomes.
Total number of outcomes = 6 × 3 = 18
A) Number of times rolling a 3 on the number cube and the spinner landing on blue = 1
Corresponding probability = 1/18
B) Probability of Jamie rolling a 2 or 3 on the number cube and the spinner landing on green = 2/18 = 1/9
C) Probability of Jamie rolling an even number on the number cube and the spinner landing on blue = 3/18 = 1/6
D) Probability of Jamie rolling a 1 on the number cube and the spinner landing on blue or green = 2/18 = 1/9
E) Probability of Jamie rolling a 5 on the number cube and the spinner landing on red = 1/18
Hence the true statements are C and D.
Learn more about Probability here :
https://brainly.com/question/30034780
#SPJ3
The complete question is as given below.
i would like some help with these two questions..
uhh here's 30 points if you answer it right
240is the answer for the question 16
97 divided by 7. With long division
Answer:
13 Reminder: 6
Hope this helps!
Answer:
13.857142
Step-by-step explanation:
if you continue from there you will see that you are just repeating yourself from where I wrote 60 then I went to 56 I'll just be repeating myself so I didn't continue I think it ends there.
Kelly bought three watermelons for the class picnic. The watermelons weighed 124 pounds, 13 pounds, and 15 pounds.
What is the total weight of the watermelons?
Answer:
40/10
Step-by-step explanation:
M varies directly as n, and m=14 when n=7 a) Write an equation that relates m and n b) find m when n=16 c) find n when m=30
Answer:a)m =K n
b)m = 32
c)n=15
Step-by-step explanation:
M varies directly as n can be expressed mathematically as
m ∝ n
Introducing the constant of proportionality, K, we have that
m =K n
Now when m=14 and n=7, K becomes
14=K X 7
K=14/7 = 2
b) find m when n=16
m =K n
m = 2 x 16=32
c) find n when m=30
m =K n
30=2 x n
n=30/2 =15
Expression is formed using numbers, variables, and mathematical operations. The value of m, when the value of n is 16 is 32.
What is Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As we know that the value of m is directly varying with n, therefore, we can write the relationship as,
[tex]m \propto n[/tex]
Now, in order to remove the proportionality, we will add a constant,
[tex]m = kn[/tex]
As the value of m and n is given as 14 and 7, substitute the values in order to get the value of the constant k,
[tex]m = kn\\14 = k(7)\\\dfrac{14}{7} = k\\k=2[/tex]
We know the value of the constant k is 2, therefore, the equation can be written as,
[tex]m=2n[/tex]
Substitute the value of n as 16, to get the value of m,
[tex]m=2n\\m=2(16)\\m=32[/tex]
Hence, the value of m, when the value of n is 16 is 32.
Learn more about Expression:
https://brainly.com/question/13947055
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
the yellow one? not sure tho
Step-by-step explanation:
Answer:
the last one (pentagon)
Step-by-step explanation:
the triangle already has 3 vertices and 3 sides and if she wants to have 8 vertices and 8 sides in total, the second shape would have 5 vertices and 5 sides. therefore, it's the pentagon
umm yes. can somebody help
Answer:
I think it would be ( 1, -6 )
Step-by-step explanation:
Hope this helps :)
pls help to solve this
Answer:
[tex] \underline{ \underline{ \large{ \pink{ \tt{E \: X \: P \: L \: A \: N \: A \: T \: I \: O \: N}}} }}: [/tex]
✧ We know , Reflection of a point on x - axis remains the x - co-ordinate same but the sign of y - coordinate changes i.e P ( x , y ) ⇢ P' ( x , - y ). So, the image of the point ( 8 , 10 ) under the reflection on x - axis is :
A ( 8 , 10 ) ⇢A' ( 8 , -10 )
☄ Hope I helped! ♡
☃ Have a wonderful day/ night ! ♨
[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
now
we have
P(x,y)⇢reflection under x axis⇢P'(x,-y)
P(8,10)⇢reflection under x axis⇢P'(8,-10)
for point (8,10) image is:(8,-10).