Answer:
3
Step-by-step explanation:
LaTanya leaves her house at 12:30 P.M. and bikes at /12 miles per h to Marta’s house. She stays at Marta’s house for 90 min. Both girls walk back to LaTanya’s house along the same route at ./.2.5 miles per h They arrive at LaTanya’s house at 3:30 P.M. How far is Marta’s house from LaTanya’s house?
Marta's house is 3.10 miles from Latanya's house
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that Latanya leaves her house at 12:30 p.M. She bikes at 12 mi/hr to Marta's house She stays at Marta's house for 90 minutes Both girls walk back to Latanya's house at 2.5 mi/h They arrive at Latanya's house at 3:30 p.M.
We need to know how far is Marta's house from Latanya's house
∵ Latanya starts her trip at 12:30 p.M.
∵ She returns home at 3:30 p.M.
∴ The time of her trip is → 3:30 - 12:30 = 3 hours
- But she stays at Marta's house for 90 minutes
∵ 1 hour = 60 minutes
∴ 90 minutes = 90 ÷ 60 = 1.5 hours
∴ The time from her house to Marta's house and from Marta's house to her house is → 3 - 1.5 = 1.5 hours
Assume that the distance from her house to Marta's house is d and the time from her house to Marta's house is t₁ and the time from Marta's house to her house is t₂
∵ Latanya bikes at 12 mi/h to Marta's house
∵ Distance = speed × time
∴ d = 12 × t₁
∵ Both girls walk back to Latanya's house at 2.5 mi/h
∴ d = 2.5 × t₂
Equate the two expressions of d
∴ 12 = 2.5 ⇒ (1)
∵ t₁ + t₂ = 1.5
Subtract from both sides
∴ t₂ = 1.5 - t₁ ⇒ (2)
Substitute equation (2) in equation (1)
∴ 12t₁ = 2.5(1.5 - t₂ )
∴ 12 = 3.75 - 2.5
Add 2.5 t₁ to both sides
∴ 14.5t₁ = 3.75
Divide both sides by 14.5
t₁ = 15 / 38 hour
∴ She spends 15/58 hours biking Marta's house. Let's find d
∵ d = 12t₁
∴ d = 12 x ( 15 / 38 ) miles
Therefore, Marta's house is 3.10 miles from Latanya's house
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Interest rates have dropped steadily over the last six months. Each month they have decreased by
1
4
point.
A. Write an expression to represent the total change of rates over the last six months.
B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.
Answer:
Answer with explanation:
Let the Initial Interest rate = x
It is given that each month Interest rate decreases by point.
A.→ Expression which represent the total change of rates over the last six months
Let total change of rate over the last six month= y
B.→
Total Change
Step-by-step explanation:
I will share how to find the constant rate of change and constant of proportionality from a table or a graph.
(how do you find it if given a table or a graph, the answer is the same)
Answer:
Step-by-step explanation:
Angela car leak 6 oz of oil in 9 days what is the unit rate of the oil leak
Quiana took out a loan to pay for a new car. Initially, she owed the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net change to the loan from Quiana’s perspective over the past 5 months?
Write a rational number to express the initial loan amount as it relates to Quiana’s bank account.
Initial amount of loan = $15,234.68
Monthly payment = $247.43
Number of months = 5
Required Information:
Net change in loan = ?
Answer:
Net change in loan = $1,237.15 = $1,237(3/20)
Step-by-step explanation:
Quiana owed her lender an amount of 15,234.68 initially, she repaid the lender each month with an amount of $247.43 for 5 months, so the total amount that she repaid is
Total amount repaid = Monthly payment*Number of months
Total amount repaid = $247.43 × 5
Total amount repaid = $1,237.15
The remaining owed amount is given by
Balance = Initial amount of loan - Total amount repaid
Balance = $15,234.68 - $1237.15
Balance = $13,997.53
So the net change to the loan from Quiana's perspective over the past 5 months is,
Net change in loan = Initial amount of loan - Balance
Net change in loan = $15,234.68 - $13,997.53
Net change in loan = $1,237.15
or
Net change in loan = $1,237(3/20)
Therefore, the net change to the loan from Quiana's perspective over the past 5 months is $1,237.15
Select all the correct answers.
Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
dt = 6
1/6d=t
d = 6t
d=1/6t
Answer:
the time over distance would be 1/6 every second that Eddie runs in 6 meters
Step-by-step explanation:
Perform the indicated operation. 5 2/3 ÷ 2 1/8
Answer: 13/126
Step-by-step explanation:52/3
21/8
Answer:
13/126
simple really, you just divide. poggers.
During a thunderstorm yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per minute? Use pencil and paper. Describe a situation in which it would be useful to know this unit rate.
Answer:
I think it would be 50 millimeters per second
Step-by-step explanation:
600/30
1. The function f(t) is equal to the mass of a pumpkin,
in kilograms, t days after its seed was planted.
Part A:
What does the notation f(80) = 3 mean?
Part B:
Use function notation to show 41 days after the
pumpkin seed is planted the pumpkin
has a mass of 1.2 kg.
What is the general rule (form) for the image’s vertices
Answer:this is an example
Step-by-step explanation:2A (5, 2)Graph A(5, 2), then graph B, the image of A under a 90° counterclockwise
Answer:
n geometry we use input/output process when we determine how shapes are altered or moved.
Geometric objects can be moved in the coordinate plane using a coordinate rule. These rules can
alter the shape in many different ways. Some rules will translate the shape, some will rotate or reflect
the shape, some will stretch or distort the shape, some will increase the size of the shape, etc… lots
of different things can happen. Look at the example below:
Step-by-step explanation:
Subtract. Write your answer in scientific notation.
(5.83×104)–(1.22×104)
This is the correct answer
Zaire is buying a truck that costs p dollars. The expression shown represents the sales tax on the truck.
0.07 p
Which expression in terms of p, represents the total price of the truck including sales tax?
A)2p + 0.07
B)p + 0.07
C)1.07 p
D)0.07 p
What is the solution to the equation 1/2x +3=2/3x+1
1/3
2/3
2
12
Answer:
D.12
Step-by-step explanation:
Multiply both sides by 6
(6)1/2x+(6)3=(6)2/3x+(6)1
Simplify
3x+18=4x+6
Move 4x to the left
3x-4x+18=6
-x+18=6
-18 -18
-x=-12
Change the signs
X=12
Answer:
1/2x + 3 = 2/3x + 1 is equal to 12
Answer 12
Step-by-step explanation:
9 15/22 - 3 2/11 PLS SUBTRACT
Answer: 6 1/2
Step-by-step explanation:
/Answer: The answer is =6 1/2
Step-by-step explanation:
Find the range of allowable values based on the given information. Round to the nearest tenth.
24; can vary by 3.5%
Answer:0.9 hope this helps
Step-by-step explanation:24×3.5%=0.84 so round to nearest tenth is 0.9.
Brad measured the length of an object as 2.1 times 10 Superscript 4cm. Which items might he have measured? Check all that apply.
length of a city block
length of a city park
height of a person
distance across a city
height of an apple tree
width of a screen in a theater
depth of water in a swimming pool
Answer:
length of a city block
length of a city park
Step-by-step explanation:
Explain what an ordered pair is. What are it’s parts? Give an example (Functions)
Answer:
An ordered pair is a composition of the x coordinate and the y coordinate , having two values written in a fixed order within parentheses.
Step-by-step explanation:
Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter.
ITEM BANK: Move to Bottom
A cell phone company charges $19.95 per month for the first 2G of data usage, then $5 per gig of usage over the initial 2G.4y = 2x5y = x +
1
3
A cell phone company charges $29.95 per month for unlimited data usage.Direct VariationY-intercept is not the originx =
2y
5
+ 8y = -7xy = 4x - 6y = 5xy = 5x + 1y =
x
2
y =
x
3
- 4y = xy-intercept is the origin
Answer:
I can't but I assure you that you are wrong with the question
Step-by-step explanation:
you are wrong because the y-intercept can be in the origin
Please help me out! TY :D
Answer:
yes google has moat of the answers for these
2 2/7 :(0.6x)= 4/21 :0.25 help pls BTW ITS NOT 50 !!
answer: x=0.025253
Step-by-step explanation:
Let's solve your equation step-by-step.
22
7
(0.6x)=
4
21
(0.25)
Step 1: Simplify both sides of the equation.
1.885714x=
1
21
Step 2: Divide both sides by 1.885714.
1.885714x
1.885714
=
1
21
1.885714
x=0.025253
The value of x from the given ratios 2 2/7 :(0.6x)= 4/21 :0.25 will be 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
[tex]2 \frac{2}{7}[/tex] :(0.6x) = 4/21 :0.25
Therefore, solve the mixed fraction, we get
16/7 :(0.6x) = 4/21 :0.25
Step 1: Simplify both sides of the equation.
16/7 :(0.6x) = 4/21 :0.25
(16/7) / (0.6x) = (4/21 ) / (0.25 )
Step 2: Divide both sides
(16/7) / (0.6x) = (4/21 ) / (0.25 )
Cross multiply:
(16/7) x (0.25 )= (4/21 ) x (0.6x)
4/7 = 2.4x /21
84 = 16.8x
Divide both sides by 16.8:
x = 5
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HELP PLS
DOn'T use the google conversions
Answer: 12.9
Step-by-step explanation:
Change each proportion so that it is __ kg = 1 pound and __ stone = 1 pound. Once you do this you should get that 0.45 kg = 1 pound and 0.07 stone = 1 pound. Then, you set up another proportion using these conversions, which would be 0.45 kg over 0.07 stone is equal to 83 kg over x stone. Once you solve for x, you get the answer of 12.9
Which expression would be easier to simplify if you used the commutative property to change the order of the number
A. 1/4+1/2+3/4
B. 3/2+1/2+(-57)
C. 130+70+(-61)
D. -30+(-90)+12
(I will give brainliest if the answer is correct and accurate.)
an alligator can run 17.5 miles in 30 minutes. at this rate, how far could they go in 2 hours.
In Exercises 1–4, find each sum or difference.
start fraction 5 over 10 end fraction minus start fraction 3 over 10 end fraction
A. one-fifth
B. start fraction 8 over 10 end fraction
C. start fraction 42 over 5 end fraction
D. one-tenth
Answer:
a 1/5
Step-by-step explanation:
because if you do 5/10-3/10 you get 2/10
then you simplify by 2 which means you do 2 divided by 2 which
is 1 then you do 10 divided by 2 which is equal to 5 so your
answer is indeed 1/5
What is the slope of the line whose eqation is
2x - 4y = 10
On the coordinate plane.
Answer:
The slope of the line is 1/2.
The answer in y=mx+b format is y = 1/2x - 5/2
Step-by-step explanation:
∆ L′M′N′ was created by translating a triangle 4 units down and 2 units to the
right. What were the coordinates of the original triangle, ∆ LMN?
CHOICES
L (−3, − 3 ), M (−4, − 7) , N (−1, − 7)
L (−7, 5) , M (−8, 1) , N (−5, 1)
L (−9, 3) , M (−10, − 1) , N (−7, − 1)
Answer:
L (-7,5), M (-8,1), N (-5,1)
Step-by-step explanation:
Answer:
L (−3, − 3 ), M (−4, − 7) , N (−1, − 7)
Step-by-step explanation:
I
I need help ASAP!....
Answer:
3.3 miles
Step-by-step explanation:
0.5 = 5.6 $
mileage rate = 1 mile for $2
2.5 = $1.6
1.6 / 0.2 = 8
8×0.1 = 0.8
2.5+0.8=0
3.3 miles
A cruise ship is traveling at a speed of 20 knots. A knot is approximately equal to 1.151 miles per hour. What is the approximate speed the ship is traveling in yards per second? Round to the nearest tenth.
Answer:
11.25
Step-by-step explanation:
At a bus station, buses depart at a rate of 3 every 10 minutes. At this rate, how many buses would you expect to depart in one hour?
A. 6 B. 15 C. 18 D. 30
Answer:
Well, there are 60 min. in one hour, so 10*6=60. Then we have to multiply 3 by 10 as well. So the answer is D: 30 busses.
Answer: the answer is c.(18)
Step-by-step explanation:
If 3 depart every 10 minutes there are 60 minutes in an hour. So 3 buses times 6 10’s would = 6x3=18
Help please!!!! there are three more after this.
3.5x + 3 - 4.9x = 4(0.4x + 3)
PLEASE HELP, WITH STEPS TOO