I have 96 apples my friend has 87 apples 96+87
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Solve using a system of equations. Lucia wants to go ice skating. She must pay for admission and then rent ice-skates. Rates for two rinks near her home are shown below.Ice Plex$5 for Admission plus $2 per hour of skate rentalSkate World$10 for admission plus $1 per hour for skate rentalLet x represent the cost of admission in dollars and let y represent the number of hours skates are rented for. Write a system of equations to represent the problem.Please help! I cannot figure this out
PLEASE PLEASE PLEASE HELPPPDuring the grand opening of an electronics store, any customer has a 17% chance of winning a free laptop. What is the chance that a customer does not win a free laptop?81%83%51%37%
You are traveling in a car at 60 miles per hour and are 400 miles away from your destination. Equation y = 400 - 60x is used to represent the distance from your destination after x hours. Identify the slope and the y intercept and explain what they mean.
∠A=angle, A, equals ^\circ ∘degreesRound your answer to the nearest hundredth.AB=7 AC=4 Angle C=90 degrees Angle A= ?
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you ride your bike X miles per hour up a mountain for 45 minutes on the way
We convert minutes into hour because speed is in miles per hour
To convert minutes into hour we divide by 60
45 minutes =
it takes 20 minutes to ride your bike down the mountain
20 minutes =
you ride your bike X miles per hour up a mountain
Distance = speed * time taken
distance covered while riding bike up a mountain is
D = x *0.75
on the way down the mountain you ride your bike for 4 miles per hour faster
So time taken is x + 4
distance covered while riding bike up a mountain is
D = (x+4) * 0.33
Distance covered by climbing up and down the mountain are same
so we make the distance equation equal
x *0.75= (x+4) * 0.33
0.75x = 0.33x + 1.32
Subtract 0.33 from both sides
0.42x = 1.32
Divide both sides by 0.42
x = 3.1429 miles per hour
Distance covered up D = 0.75* x = 0.75 * 3.1429 = 2.357175
Distance covered down D = (3.1429 +4) * 0.33 = 2.357157
Total distance covered = 2.357175 + 2.357175 = 4.71435
you ride your bike in total of 4.71 miles approximately .
Answer:
The total distance covered during riding up and down the mountain is 4.714 miles.
Step-by-step explanation:
Speed of the bike while riding up mountain = X mile/hour
Distance covered be d.
Time taken to cover d distance = 45 minutes = 0.75 hour
(1 hour = 60 min)
...(1)
Speed of the bike while riding down mountain = (X+4) mile/hour
Distance covered while moving down the mountain = d.
Time taken to cover d distance = 20 minutes = 0.33 hour
...(2)
O solving (1) and (2):
we get, d = 2.357 miles
X = 3.143 miles/hour
Total distance covered by us = d + d= 2.357 miles+ 2.357 miles = 4.714 miles
A: -12
B: 2
C: 12
D: -2
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Remember that there cannot be a negative number in an absolute value.
........
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-1.12
=-(100/100)-(12/100)
=-(112/100)
=-(56/50)
=-(28/25)
The required -1.12 can be expressed as the fraction -28/25 in simplest form.
To express -1.12 as a fraction or mixed number in simplest form, we can follow these steps:
Step 1: Write the decimal as a fraction without the decimal point.
-1.12 can be written as -112/100.
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.
The greatest common divisor of 112 and 100 is 4.
Dividing both the numerator and denominator by 4 gives us:
-112/100 = -28/25.
So, -1.12 can be expressed as the fraction -28/25 in simplest form.
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Ms. Joon, a substitute teacher, breezed into the classroom and settled at the teacher’s desk. She reviewed the plans that had been left for her, making careful notes in the margins. She wrote her name on the whiteboard and greeted students as they entered. When one student grumbled, "Oh no, a sub?”, she cheerfully asserted that everything would be "business as usual.”
What inference can be drawn about Mrs. Joon?
She is hoping to make friends with the students.
She is confident and prepared for her job.
She is well-educated and very intelligent.
She is trying to disguise her nervousness.
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The inference is solved and she is confident and prepared for her job
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Based on the information provided, the most reasonable inference that can be drawn about Mrs. Joon is that she is confident and prepared for her job. She is described as reviewing plans, taking careful notes, writing her name on the whiteboard, and greeting students cheerfully, which suggests that she is well-prepared and confident in her ability to handle the substitute teaching job.
Her assertion that everything will be "business as usual" despite being a substitute teacher further indicates her confidence and preparedness for the role.
There is no specific information provided to support the other three options of hoping to make friends with students, being well-educated and very intelligent, or trying to disguise nervousness.
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Ans even when one kid didnt like her she was still confident and nice :-)
Hope This Helps
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308/14 = x/1
Cross multiply
14x = 308
x = 308/14
x = 22
So the fuel efficiency is
22 miles per 1 gallon or
22/1
For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...
288 miles ÷ 48 mph =
6 hours