Answer:
5mph faster
Step-by-step explanation:
Kayla is going 48 mph because 144/3 is 48
Kendra is going 53mph because 224/4 is 53
53-48=5
8 miles/hour Kendra drives faster than Kayla.
Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.
We need to find out how much faster Kendra drive on average.
How to calculate the speed?The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Now, the speed of Kayla=144/3 = 48 miles/hour
The speed of Kendra=224/4 = 56 miles/hour
So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.
Therefore, 8 miles/hour Kendra drives faster than Kayla.
To learn more about the speed visit:
https://brainly.com/question/7359669.
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Which one?
A. B. C. Or D.
Answer:
D
Step-by-step explanation:
Given
a² - 1 = 0 ( add 1 to both sides )
a² = 1 ( take the square root of both sides )
a = ± [tex]\sqrt{1}[/tex] = ± 1
solution is { 1, - 1 } → D
Answer:
D) {1, -1}
Step-by-step explanation:
Please share the instructions for this problem: Solve a^2 - 1 = 0, or find the roots of a^2 - 1 = 0.
Answer D is correct. Try substituting 1 for a, and then -1 for a. In both cases the given equation is true.
what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?
Answer:
x²+x+12 = 0
Step-by-step explanation:
Area if the wooden frame = ,Length ×Width
A = LW
If the length of wooden frame is 1foot longer than it's width, then;
L = W+1
Given
A = 12ft²
Substitute the derived and given parameters into the formula to have;
P = (W+1)W
12 = (W+1)W
Open the parentheses
12 = W²+W
Subtract 12 from both sides
12-12 = W²+W -12
0 = W²+W-12
Rearrange
W²+W-12 = 0
If W = x
The quadratic equation becomes:
x²+x+12 = 0
what is −58+34 any one know?
Answer:
-24
Step-by-step explanation:
Answer:
-58 + 34 = -24
Step-by-step explanation:
You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.
REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.
Hope that was helpful and not confusing!!!
What is -9 over 22 divided by -3 over 4 in fractions?
Answer: 6/11
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4
Express x in terms of y:
3(x + 2y) = 2x = 5y
Answer:
-6y=x
Step-by-step explanation:
3x+6y=2x=5y
Subtract 5y from all
3x+y=2x-5y
subtract y and 2x from both sides
x=-6y
What is the simplified fractional equivalent of the terminating decimal 0.32?
It’s 8/25
Answer:
yes
Step-by-step explanation:
8/25= 0.32 which is a terminating decimal
Answer: 8
Over
25
Step-by-step explanation:
15x minus 8 is less than 32
Answer:
If you want this in an equation, it would be [tex]15x <32[/tex]
If you want the answer to this, it would be [tex]x<2\frac{2}{15}[/tex]
Step-by-step explanation:
Hope this helps:)
What’s the unit rate of 2 1/3 miles in 2 hours
Answer:
7/6 miles
Step-by-step explanation:
As, Distance for 1 hour = x
For 2 hours = 2 1/3
For 2 hours = 2(x)
So, 2(x)= 2 1/3
2(x)= 7/3
So, x = 7/3 ÷ 2
So x= 7/3 x 1/2
Therefore, x = 7/6
Final answer= 7/6 miles per hour
Does this table represent a linear function? Why or why not?
x y
2 5
4 8
6 12
8 17
10 23
Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
Max is x years . Brother is 8 years older , sister is 12 years younger.total age.is 50 years.how old are they ?
Answer:
30
Step-by-step explanation:
12 + 8 = 20 so that means 50-20= 30 so max is 30 years old
Help pleaseeeee it’s on algebraic proofs
Answer:
Given
Addition
simplify
answer
Step-by-step explanation:
Answer:
1. Given
2.Addition
3. simplify
4. answer
Step-by-step explanation:
Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.
Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?
Answer:
Answer 26.35 rounded to 30
Step-by-step explanation:
What is X? −7x−8= -10x+4
Answer: x=4
-7x-8=-10x+4
+8 +8
-7x=-10x+12
+10x +10x
3x=12
3x/3=12/3
X=4
What am I supposed to do?
Answer:
28
Step-by-step explanation:
ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28
PLease help thanks legit only!!!!!!!!!!!!!
The slope is 0, or answer choice c.
A 20 gallon tank is 3/4 full. How many gallons are in the tank?
Answer:
15 gallons
Step-by-step explanation:
(3 / 4) * (20 US gallons)
= 15 gallons
Answer:
15 gallons are in the tank
Step-by-step explanation:
3/4(20)
the circle shows the radius of 12mm what is the circumference
Answer:
24π or about 75.4 mm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that r = 12, so plugging this in:
C = 2πr
C = 2π * 12 = 24π ≈ 75.4 mm
The answer is thus 24π or about 75.4 mm.
~ an aesthetics lover
Answer:
about 75.36
Step-by-step explanation:
The circumference formula is C=pi times the diameter and the diameter is 24 because it is twice the diameter so 24 times pi.
What is X? 3(4x−3)= -4+7
Step-by-step explanation:
[tex]3(4x - 3) = - 4 + 7[/tex]
Expand :
[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]
Simplify : Add values
[tex]12x - 9 = 3[/tex]
Collect like terms and simplify
[tex]12x = 3 + 9 \\ 12x = 12[/tex]
Divide both sides of the equation by 12
[tex] \frac{12x}{12} = \frac{12}{12} [/tex]
Simplify
[tex]x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
Hope I helped :)
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7(y-2)=7y-14 I’m kinda confused
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
Luke can purchase a 10-pound item from several different stores. Which of the following is the best buy?
Answer:
What are the stores & the data?
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answer:
The stock is worth $702.5.
Step-by-step explanation:
Giving the following information:
Present Value= $500
Number of periods (n)= 3 years
Growth rate (i)= 12%
To calculate the value of the stock today, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.12^3)
FV= $702.5
The stock is worth $702.5.
A Store has 120 customers in 6 hours.What is the unit rate in customers per hour
Answer:
20
Step-by-step explanation:
120/6=20
Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?
Answer:
48 pages total
Step-by-step explanation:
hope this helps
can any one help me plz
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does this situation represent additive inverses explain
help i need to pass:/
Answer:
biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus
Answer:
false
Step-by-step explanation:
What is the location of H' after the image is rotated 180 degrees?
Answer:
The answer is B
Step-by-step explanation:
If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)