Answer:
11.43 kilometers
Step-by-step explanation:
Answer:
11.43 kilometers.
Step-by-step explanation:
All you have to do is add the two distances (AKA numbers, to make it even simpler). It doesn't matter what distance was traveled by train or bus! The point is that the distances traveled were both in kilometers! With that being said, all we have to do is add 7.22 + 4.21, and voila! We get 11.43!
Hope this answer helps! Please rate it and give me Brainliest! :D
Have a great day!
QUESTION
4. Mickey and Minnie went to a Sabres game.
They each purchased two shirts and a $17
autographed hockey puck. If Mickey and
Minnie spent a total of $214, how much was
each shirt?
Answer:
45
Step-by step
What do we already know about the equation?
We know that they EACH bought a hockey puck($17) and 2 shirts
Half of 214 is 107. So they had to have spent 107 separately
So we make the equation and let s represent shirts
2s + 17 = 107
- 17 -17
2s= 90. DIVIDE by 2
s = 45
Which property is illustrated below?
1 + 7 = 7 + 1
commutative property of addition
distributive property
associative property of addition
identity property of addition
Answer:
commutative property of addition
Step-by-step explanation:
Answer:
The answer to your question is commutative property of addition
Step-by-step explanation:
commutative property of addition means switching up the numbers of the equation but the sum is still the same.
Like in your qustion 1+7=8 but 7+1=8 also. The numbers 7 and 1 are switched around but the answer is still 8.
What is the value for x if 8x=12x
Answer:
x=0
Step-by-step explanation:
8x=12x
12x-8x=0
4x=0
x=0/4
x=0
what is the value of thi expression when d=3?
7d2+10=
A: 63
B: 52
C: 31
D: 73
Answer:
73
Step-by-step explanation:
Givens
d = 3
Equation 7d^2 + 10 = ?
Solution
7*3*3 + 10
7*9 + 10
63 + 10 = 73
A number y is at least 3 and is less than 10
Answer:
[tex]3 \leqslant y < 10[/tex]
The inequality that represents the given situation is (3 ≤ y < 10).
What are inequalities?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.So, the inequality will be:
We know that y is at least 3 and less than 10.Which means:
3 ≤ y y < 10So, the inequality will be:
3 ≤ y < 10Therefore, the inequality that represents the given situation is (3 ≤ y < 10).
Know more about inequalities here:
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What is the answer yo 3x-(2y2+2
Answer:
3x-2y^2-2
Step-by-step explanation:
3x-(2y^2+2)=3x-2y^2-2
How is 1.2 x 1.3 = 1.56
Answer:
Step-by-step explanation:
Do the multiplication and you'll find the right answer.
One number is 4 more than another. The sum of the number is 20.
Answer:
Numbers are 8 and 12
Step-by-step explanation:
x=4+y
x+y=20
Solving both equations
4+y+y=20
2y=16
y=8
x=4+8=12
(x/(x+1) + 1)*((1+x)/(2x-1))
The question is a college-level mathematics problem involving taking the third derivative of the function f(x) = 2x/(x^2 - 1). The process requires the application of quotient rule and chain rule of differentiation.
Explanation:The student question involves calculating the third derivative of the function f(x) = 2x/(x2 - 1). This function is a rational function and can be differentiated using the quotient rule and chain rule of differentiation. Let's proceed with the derivative calculations.
First, we should recall that the function can be rewritten as:
f(x) = 2x/(x2 - 1) = 2x/[(x - 1)(x + 1)]
Now we can calculate the derivatives. For the first derivative f'(x), we use the quotient rule:
f'(x) = [(x2 - 1)(2) - (2x)(2x)]/(x2 - 1)2
For the second derivative f''(x), we differentiate f'(x) again:
f''(x) = Derivative of f'(x) with respect to x
The third derivative f'''(x) is then the derivative of f''(x). Calculations for the second and third derivatives can be a bit complex and lengthy, and it is necessary to apply the quotient rule and product rule carefully.
Through this process, we will arrive at the third derivative, f'''(x), which is what the question asks for.
Annabeth, Grover, and Percy are shopping. Together, Annabeth and Grover have $43. If Grover and Percy combine their money, they have $55. Percy has $7 more than Grover. How much does each person have?
Answer:
Grover has $24, Percy has $31 and Annabeth has $19.
Step-by-step explanation:
Create equations to represent the situation.
let a be Annabeth
let g be Grover
let p be Percy
a + g = 43 Together, Annabeth and Grover have $43
g + p = 55 If Grover and Percy combine their money, they have $55
p = g + 7 Percy has $7 more than Grover
See if any of the equations can be combined. For example, we know p is g+7.
Substitute p for g+7 in an equation that has the variable p.
g + p = 55
g + g + 7 = 55 Combine like terms (g)
2g + 7 = 55 Start isolating g. Subtract 7 from both sides
2g = 55 - 7
2g = 48 Divide both sides by 2
g = 48/2
g = 24 Money Grover has
Use the equation p = g + 7. Find "p" by substituting g for 24.
p = g + 7
p = 24 + 7 Add
p = 31 Money Percy has
Substitute g for 24 in the last equation, a + g = 43, to find a.
a + g = 43
a + 24 = 43 Subtract 24 from both sides
a = 43 - 24
a = 19 Money Annabeth has
Therefore Grover has $24, Percy has $31 and Annabeth has $19.
Answer:
Grover has $24, Percy has $31 and Annabeth has $19.
Create equations to represent the situation.
let a be Annabeth
let g be Grover
let p be Percy
a + g = 43 Together, Annabeth and Grover have $43
g + p = 55 If Grover and Percy combine their money, they have $55
p = g + 7 Percy has $7 more than Grover
See if any of the equations can be combined. For example, we know p is g+7.
Substitute p for g+7 in an equation that has the variable p.
g + p = 55
g + g + 7 = 55 Combine like terms (g)
2g + 7 = 55 Start isolating g. Subtract 7 from both sides
2g = 55 - 7
2g = 48 Divide both sides by 2
g = 48/2
g = 24 Money Grover has
Use the equation p = g + 7. Find "p" by substituting g for 24.
p = g + 7
p = 24 + 7 Add
p = 31 Money Percy has
Substitute g for 24 in the last equation, a + g = 43, to find a.
a + g = 43
a + 24 = 43 Subtract 24 from both sides
a = 43 - 24
a = 19 Money Annabeth has
Therefore Grover has $24, Percy has $31 and Annabeth has $19.
solve the simultaneous equations.
Y=5x^2 + 4x-19
Y=4x+1
Answer: x1=-2
x2=2
Step-by-step explanation:
5x²+4x-19=4x+1
5x²+4x-19-4x-1=0
5x²-20=0
5x²=20
x²=20/5
x²=4
x1=-√4=-2
x2=+√4=2
To solve the simultaneous equations, set the two equations equal to each other, simplify, solve for x, and substitute the values of x back into one of the original equations to solve for y. The solutions are (2, 9) and (-2, -7).
Explanation:To solve the simultaneous equations:
y = 5x^2 + 4x - 19
y = 4x + 1
Let's set the two equations equal to each other:
5x^2 + 4x - 19 = 4x + 1
Now, simplify and solve for x:
5x^2 + 4x - 4x - 19 - 1 = 0
5x^2 - 20 = 0
Divide both sides by 5:
x^2 - 4 = 0
Factor the equation:
(x - 2)(x + 2) = 0
Set each equation equal to zero:
x - 2 = 0 or x + 2 = 0
Solve for x:
x = 2 or x = -2
Now, substitute the values of x back into one of the original equations to solve for y:
When x = 2:
y = 5(2)^2 + 4(2) - 19
y = 20 + 8 - 19
y = 9
When x = -2:
y = 5(-2)^2 + 4(-2) - 19
y = 20 - 8 - 19
y = -7
Therefore, the solutions to the simultaneous equations are (2, 9) and (-2, -7).
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Roberta makes $9 an hour plus a 10.5% commission selling jewelry an hour shift in which she sells $880 worth of jewelry. How much does she earn on an 8 hr shift?
Answer:
Roberta earns $164.4 on an 8 hr shift.
Step-by-step explanation:
In one hour Roberta makes $9
So if she works for 8 hours she will be making
=> ( 9 X 8)$
=>72$
Also she earns a commission of 10.5% on selling a jewellery worth $880
So 10.5% of 880 is
=> [tex]\frac{10.5}{100}\times 880[/tex]
=> [tex] 0.105\times 880[/tex]
=> 92.4
Hence Roberta will be earning a total amount of
(72+ 92.4)
=>$164.4
How many solutions does 5x-y=2 5x-y=-2 have?
Answer:
No Solution.
Step-by-step explanation:
5x-y=2
5x-y=-2
-------------
-(5x-y)=-2
5x-y=-2
----------------
-5x+y=-2
5x-y=-2
-------------
0=-4
no solution
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
Answer:
3.75
Step-by-step explanation:
the number you want to turn into apercentage over the total value so you end up with a fraction. Then, turn the fraction into a decimal by dividing the top number by the bottom number. Finally, multiply the decimal by 100 to find the percentage.
PLZ HELP !!!
SCREENSHOT
3x + 2y = 5
X – 2y = -1
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
3x +2y = 5 → (1)
x - 2y = - 1 → (2)
Adding the 2 equations term by term will eliminate the term in y, that is
(3x + x) + (2y - 2y) = (5 - 1)
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 in either of the 2 equations and solve for y
Substituting in (1)
3(1) + 2y = 5
3 + 2y = 5 ( subtract 3 from both sides )
2y = 2 ( divide both sides by 2 )
y = 1
Solution is (1, 1 )
Answer: x=3 y=-2
Step-by-step explanation:
The other dude is wrong, I just did it and got
Marked wrong. It’s (3,-2)
From 1980-1990, the population of a country was increased by 20%. From 1990-2000, the population of the country was increased by 20%. From 2000-2010, the population of the country was increased by 20%. Population (in percentage) of the country from 1980-2010 was increase by
please I need a good step by step explanation I try to resolved it but I can't do it
Answer:
The % of the increase in population from 1980 to 2000 will be 72.8%
Step-by-step explanation:
Let the population in the year of 1980 was x.
If the population from 1980 to 1990 has increased by 20%, then the population in the year 1990 will be [tex]x(1 + \frac{20}{100}) = 1.2x[/tex].
Now, from 1990 to 2000, the population has again increased by 20%.
So, the population in the year 2000 will be [tex]1.2x(1 + \frac{20}{100}) = 1.44x[/tex].
Again, from 2000 to 2010, the population has increased by 20%.
Therefore, the population in the year 2010 will be [tex]1.44x(1 + \frac{20}{100}) = 1.728x[/tex].
Now, the population increased from x to 1.728x between the years 1980 to 2010.
Hence, the % of the increase in population from 1980 to 2000 will be [tex](\frac{1.728x - x}{x}) \times 100\% = 72.8\%[/tex] (Answer)
kn + 4f = 9v
solve for n
Answer:
n=(9v-4f)/k
Step-by-step explanation:
kn+4f=9v
kn=9v-4f
n=(9v-4f)/k
Answer:
n = (-4f + 9v) ÷ k
Step-by-step explanation:
All you have to do is... flip the equation
Which is the number of minutes in one 24-hour day?
Answer:
there are 1,440 minutes in 24 hrs a day
Step-by-step explanation:
Now thank me and rate me
Hope your year has been going great !!
The answer is 1440 if im correct
Regardless of the policy name, the two types of life insurance are
Answer:
Level term and decreasing term
Step-by-step explanation:
level- Death benefit stays the same during the course of the policy term.
term-death benefit drops usually in one year increments over the course of the policy term.
1/8x___=7/8
0 1 2 3 4 5 6 7 8 9
Answer:
1/8x___________=7/8 the answer is 6
Need help ASAP !!!!!!
Answer:
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Step-by-step explanation:
Given:
Let,
point S( x₁ , y₁) ≡ ( -1 , 1)
point T( x₂ , y₂) ≡ (3 , -5)
Point M( x , y ) is the Mid point of segment ST.
To Find:
Point M( x , y )= ?
Solution:
As Point M( x , y ) is the Mid point of segment ST.
So we have Mid Point Formula as
[tex]Mid\ pointM(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})[/tex]
On substituting the given values in above equation we get
[tex]M(x,y)=(\frac {-1+3}{2},\frac{-5+1}{2})\\\\M(x,y)=(\frac{2}{2},\frac{-4}{2}) \\\\M(x,y)=(1,-2)\ \textrm{which the required midpoint}[/tex]
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Construct the graph of the equation y=kx if it is known that the point B belongs to the graph. The graph of which of these two equations goes through point M(−10, 15)?
B(2, −3)
B(3 1/3, -2)
WILL AWARD BRAINLIEST AS USUAL!! DEPENDS ON MY GRADE!!
Answer:
The graph with B(2,-3) i.e) y=[tex]\frac{-3}{2}[/tex] x goes through the point M(-10,15).
Step-by-step explanation:
Consider M(-10,15) and given that equation is y = kx.
Now, substitute M(-10,15) in the equation
⇒ 15 = k × -10
⇒ k = [tex]\frac{15}{-10}[/tex] = [tex]\frac{-3}{2}[/tex]
⇒ y = [tex]\frac{-3}{2}[/tex] x
Now, check with the given points B(2,-3) and B([tex]3\frac{1}{3}[/tex] , -2)
1) B(2,-3)
y = [tex]\frac{-3}{2}[/tex] x
⇒(-3) = [tex]\frac{-3}{2}[/tex] × 2
⇒ -3 = -3 ⇒ LHS = RHS
⇒ B(2,-3) is the required point.
2) for b([tex]3\frac{1}{3}[/tex] , -2)
LHS ≠ RHS.
So,The graph with B(2,-3) i.e) y=[tex]\frac{-3}{2}[/tex] x goes through the point M(-10,15).
What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2?
Answer:
Step-by-step explanation:
(2,-4)....x1= 2 and y1 = -4
(p,8).....x2 = p and y2 = 8
slope(m) = 1/2
now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...
slope(m) = (y2 - y1) / (x2- x1)
1 / 2 = (8 - (-4) / (p - 2)
1 / 2 = (8 + 4) / (p - 2)
1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)
1/2(p - 2) = 12
1/2p - 1 = 12
1/2p = 12 + 1
1/2p = 13
p = 13 / (1/2)
p = 13 * 2/1
p = 26
so the value of p is 26
ABC is similar to LMN. Also, side AB measures 5 cm, side AC measures 7 cm, and
side LM measures 35 cm.
What is the measure of side LN?
49cm Would be your answer, sorry for the late reply
Crater lake in Oregon is shaped like a circle with a diameter of about 5.5 miles. How far is it around the perimeter of crater lake?
Answer:
The perimeter of crater lake is 17.27 miles.
Step-by-step explanation:
Given as :
The shape of the lake is like a circle
The diameter of lake = d = 5.5 miles
∵ shape pf lake is circle, so the diameter of circle = d = 5.5 miles
Let The perimeter of crater lake = p miles
Now, As we know
The perimeter of circle = [tex]\pi[/tex] × diameter
the value of [tex]\pi[/tex] = 3.14
Or, p = [tex]\pi[/tex] × d
Or, p = [tex]\pi[/tex] × 5.5 miles
Or, p = 3.14 × 5.5 miles
∴ p = 17.27 miles
So, The perimeter of circle = perimeter of lake = p = 17.27 miles
Hence, The perimeter of crater lake is 17.27 miles. Answer
What is quartile 1 (Q1)quartile 3 (Q3) and the IQR? Answer all three parts . 13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50
Answer:
Quartile 1 (Q1) = 24
Quartile 2 (Q2) = 47
IQR = 23
Step-by-step explanation:
Given:
The set of data are:
13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50
The data are in increasing order. The number terms are, [tex]n = 11[/tex].
Therefore, the middle term = [tex]\frac{n+1}{2}=\frac{11+1}{2}=6^{th}\ term[/tex]
So, the median = 26
Now, the median divides the set of data into two parts. The median of first part is the quartile 1 and the median of second part is quartile 2.
So, the first part has the following terms:
13, 23, 24, 25, 26
Here also, [tex]n=5[/tex]. So, the third term is the median.
∴ Q1 = 24
The second part has the following terms:
37, 47, 47, 48, 50
Here also, [tex]n=5[/tex]. So, the third term is the median.
∴ Q2 = 47.
Now, IQR = Q2 - Q1 = 47 - 24 = 23.
michael has finished 25% of an art project that has taken
him a total of 4 hours so far. If he continues to work at the
same rate, how many hours will it take for him to complete
the entire project?
PLEASE HELP
Find the volume of the prism.
50 yd3
250 yd3
200 yd3
20 yd3
Answer:
[tex]V=200\ yd^3[/tex]
Step-by-step explanation:
we know that
The volume of the prism is equal to
[tex]V=LWH[/tex]
where
L is the length
W is the width
H is the height
we have
[tex]L=10\ yd\\W=5\ yd\\H=4\ yd[/tex]
substitute
[tex]V=(10)(5)(4)=200\ yd^3[/tex]
Answer:
C.) 200 yd3
Step-by-step evaluation:
Step 1.) 4 x 5 = 20
Step 2.) 20 x 10 = 200
Step 3. (Final answer).) C.) 200 yd3
Explanation:
4 times 5 will equal 20 because, 4 + 4 + 4 + 4 + 4, or 5 + 5 + 5 + 5, equals 20.
20 times 10 will equal, the answer, 200 hundred because 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 200, and that's our answer.
Final answer:
C.) 200 yd3
What x-value makes the set of ratios equivalent?
2:3=6:x
4:7=X:42
2x:48 = 3:12
12:15 Ex: 20
Answer:
1. 2:3 = 6:9
2. 4:7 = 24:42
3. 2(6):48=3:12
Step-by-step explanation:
Answer:
its B
Step-by-step explanation: