Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.6h + 5 = 4h + 10
What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.
Answers
Answer:
Option B: Subtract 4h from both sides. Subtract 5 from both sides.Divide each side by 2.
Step-by-step explanation:
So why option B?
When solving equations one of the best method is to bring like terms together to a side (LHS or RHS) of the equation.
What are liked terms? This are numbers or integers with similar structure. From the question the liked terms are 5 and 10, and 6h and 4h.
Going by the workflow described in option B we will see that the end game here was to bring liked terms together.
So lets carry out the workflow step by step:
- Subtract 4h from both sides: 6h + 5 -4h = 4h + 10 -4h => 2h + 5 = 10
- Subtract 5 from both sides: 2h + 5 -5 = 10 -5 => 2h = 5 (Victory!!! we have succeeded in briinging like terms to a side)
- Divide each side by 2: 2h/2 = 5/2 => h = 2.5
So for the Babysitters to charge the same amount they have to have worked for 2.5 hours (that is 2 hours 30 minutes)
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Answers
Answer:
The perimeter of ∆ABC is 32.44 units, and its area is 30 square units....
Step-by-step explanation:
The perimeter is the sum of three distances.
To find the distances BC, CD, DB use the distance formula:
D=√(y2-y1)^2+(x2-x1)^2
We have given A(2, 8), B(16, 2), and C(6, 2).
AB= √(16-2)^2+(2-8)^2
AB= √(14)^2+(-6)^2
AB=√196+36
AB=√232 = 15.23
BC=√(6-16)^2+(2-2)^2
BC=√(-10)^2+0
BC=√100 = 10
CA = √(2-6)^2+(8-2)^2
CA=√(-4)^2+(6)^2
CA=√16+36
CA=√52 = 7.21
Perimeter = AB+BC+CA
Perimeter = 15.23+10+7.21
Perimeter = 32.44 units
For the area BC is the parallel to x-axis
area = (1/2)base * height
=(1/2)10*(ya-yb)
=(1/2)10*(8-2)
=(1/2)10*6
=30 unit²
The perimeter of ∆ABC is 32.44 units, and its area is 30 square units....
Answer:
perimeter of ∆ABC is 32.44 units, and its area is 30 square units
Step-by-step explanation:
plato
Answers
Answer:
6
Step-by-step explanation:
Find 2 points that are connecting integers
y2-y1/x2-x1(use this to find slope)
(3,3)(2,-3)
-3-3/2-3
-3-3=-6
2-3=-1
-6/-1=6
Therefore, slope is 6
Answers
Answers
Answer:
Given speed of train = 108 km/hour ⇒ Speed of train = 108 × 5/18 = 30 m/sec Since, we know that Distance = Speed × time ⇒ Distance = 30 × 32 = 960 m ∴ Length of train is 960 m
Step-by-step explanation:
Final answer:
The length of the train is calculated by using the formula 'distance = speed * time'. After converting the speed from km/h to m/s, we find that the length of the train is 960 meters.
Explanation:
To answer your question, we'll need to use the concept of speed in physics. Speed is essentially distance covered per unit of time. Since we are given that the train is running at a speed of 108 km/h and it crosses a pole in 32 seconds, we can use these metrics to find the length of the train, as the train length is the distance covered when the train crosses the pole.
First, we need to convert the speed from km/h to m/s, as we need the answer in a standard form. 1 km = 1000 m, and 1 hour = 3600 seconds. So, 108 km/h = 108 * 1000 m/3600 s = 30 m/s.
Next, we use the formula 'speed = distance/time'. Here, we need to find the distance (or the length of the train), so we rearrange that formula to get 'distance = speed * time'. That means, the length of the train = speed of the train * time taken to cross the pole = 30 m/s * 32 s = 960 m.
So, the length of the train is 960 meters.
Learn more about Finding train length here:
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The sub sandwiches each cost the same amount.
What amount did Randy pay for each sub sandwich?
Answers
After using linear equation - Randy paid $7.25 for each sub sandwich.
What are linear equations with one variable?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 4x+4=8 only has one variable.
we are given that,
cost of one hamburger = $5.75
let us assume the cost of one sub sandwich to be $x
thus the cost of three sub sandwiches will be $3x.
we know his total came out to be $27.50
therefore,
we are given that
cost of one hamburger + 3 sub sandwiches = $27.50
= 5.75 + 3x = 27.50
= 3x = 27.50 - 5.75
= 3x = 21.75
= x = 21.75/3
= x = $7.25
thus we know that one sub sandwich costs randy $7.25.
To learn more about linear equations visit:
brainly.com/question/12788590
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Answers
average speed=(total distance)/(total time)
total time for the first 30 miles was:
time=distance/speed
=30/30
=1 hr
total time for the remaining 30 miles
=30/60
=0.5
hence the average speed will be:
speed=(30+30)/(1+0.5)=60/1.5=40 miles per hour