Answer: It is B
Step-by-step explanation:
You and Anthony are having a swimming race. You can swim 4 meters per minute, and Anthony can swim 4.5 meters per minute. You start at the same time. After how many minutes will Anthony be ahead of you 2 meters?
Answer:
4 minutes
Step-by-step explanation:
Given that:
Person 1's speed = 4 meters per minute
Anthony's speed = 4.5 meters per minute
To find:
In how many minutes, Anthony will be 2 meters ahead ?
Solution:
Let the time taken = [tex]t[/tex] minutes
Distance covered by 1st person = D meters
Distance covered by Anthony = (D + 2) meters
Formula:
Distance = Speed [tex]\times[/tex] Time
For 1st person:
[tex]D = 4 \times t[/tex] ....... (1)
For Anthony:
[tex]D+2 = 4.5 \times t[/tex]
Using first equation:
[tex]4t + 2 = 4.5t\\\Rightarrow 0.5t = 2\\\Rightarrow \bold{t = 4\ minutes}[/tex]
So, in 4 minutes, Anthony will be 2 meters ahead of the first person.
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."
Hi There!!
I think your best answer is B). Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
I'm not sure this is 100% right....
Hope This Helps!!
[tex]Brazts[/tex]
The correct statement will be : Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.
Given,
Unit rate for a proportional relationship.
Here,
When the unit rate for proportional relationship is to be identified than count the number of units at y axis or vertical axis and the number of unit at x axis or horizontal axis .
Take ratios of these two values .
Know more about graphs,
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h - 20/j = k solve for j
Answer: j = 20/k-h
Step-by-step explanation: Multiply to remove your variable from your denominator.
I hope this helps you out.
43. Can you place ten lumps of sugar in three empty cups so that
there is an odd number of lumps in each cup?
Answer: No.
Step-by-step explanation:
We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.
This only can happen if we have 3 odd numbers such that the addition is equal to 10.
Now 10 is an even number, remember that even numbers can be written as:
2*k
where k is an integer number.
And odd numbers can be written as:
2*n + 1
where n is an integer.
Then we have 3 odd numbers, let's call them:
(2*n + 1), (2*k + 1) and (2*p + 1).
Now let's add them:
(2*n + 1) + (2*k + 1) + (2*p + 1).
2*(n + k + p) + 1 + 1+ 1
2*(n + k + p) + 2 + 1 =
2*(n + k + p + 1) + 1.
Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:
2*X + 1
This is an odd number
So for any 3 odd numbers that we add together, the result will always be an odd number.
Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).
Then is not possible to have an odd number of lumps in each cup.
I need help with this geometry question.
Answer:
Step-by-step explanation:
a). There are 8 points in the figure attached.
b). There are 9 lines in the given figure.
c). There are 5 planes in the figure attached.
d). Three collinear points are D,G and F.
e). Four co-planar points are G, F, H and C.
f). Intersection of planes ABC and ABE is the common line AB.
g). Intersection of planes BCH and DEF is the common line EF.
h). Intersection of AD and DF is a point D.
plz help :( what is n – 10 + 2n + 5
Answer:
n-10+2n-5
to me it look like it equal 3n-5
Step-by-step explanation
step one:
add n+2n which equal to 3n
step 2:
-10+5
you add 5 do -10 which equal to -5
and when u put them together the answer will be
3n-5
a certain quantity grows exponeotially over time.the inital quantity at t=0 is 2000.the quantity grows by a factor of 20%. what is the quantity at t=8
Answer:
5200
Step-by-step explanation:
2000 x 20% = 400
400 x 8 = 3200
2000 + 3200 =5200
5xy – 3z when x = -2, y = 4, z = 6
Answer:
-58
Step-by-step explanation:
If we have the expression [tex]5xy-3z[/tex] and we know the values of x, y, and z, we can substitute inside the equation to find it's value.
[tex]5\cdot-2\cdot4 - 3\cdot6\\\\-40 - 18\\\\-58[/tex]
Hope this helped!
Answer: -58
Step-by-step explanation:
Fill it in to get (5)(-2)(4) - (3)(6) which is -40 - 18 = -58
find the equation of the line containing the point (-3,5) and having slope: 4
a) y=4x-7
b) y=4x
c) y=-4-24
d) y=4x+17
e) none of the above
Answer: d) y=4x+17
remember y=mx+b
good luck
Write an algebraic expression for 1 more than the quotient of n and 2
Answer:
1 + n/2 or n/2 + 1
Answer:2/n
Explanation:
Quotient just means "divide", so this would just be equal to
2/n
Hope this helps!
3. Find the midpoint between the following points. (-2,-5) and (-3,1)
Answer:
Step-by-step explanation:
(x₁, y₁) = (-2 , -5) & (x₂ , y₂) = (-3 , 1)
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]=(\frac{-2 + [-3]}{2} ,\frac{-5 + 1}{2})\\\\\\=(\frac{-5}{2} , \frac{-4}{2})\\\\=(-2.5, -2)[/tex]
Can you please explain and help me find the midpoint?
Answer:
once have a short glance to the above solution.
The midpoint of AB is ( -0.5 , 0)
What is -3 1/2+ 2 1/3
Answer:
-1.16666666667
Step-by-step explanation:
Answer:
-1 1/6
Step-by-step explanation:
How are operations with variables like operations with real numbers?
Answer:
The relation between inputs and outputs is given by an equation called the equation of function. Since the outputs are also real values, hence, reasoning by analogy, you may use the arithmetical operation between functions (addition, subtraction, multiplication, division) to produce new functions.
Steven earns extra money babysitting. He charges $33.75 for 5 hours and $54.00 for 8
hours.
Enter an equation to represent the relationship. Let x represent the number of hours
Steven babysits and y represent the amount he charges.
The equation is y =
Answer:
y = 6.75x
Step-by-step explanation:
These 2 pieces of information can be used to create 2 points on the graph, where x is the number of hours and y is the amount he charges:
(5, 33.75) and (8, 54) are the 2 points
Use rise/run (y2 - y1) / (x2 - x1) to find the slope
(54 - 33.75) / (8 - 5)
20.25/3
= 6.75
Now, plug this and another point into y = mx + b to find b, the y intercept
54 = 6.75(8) + b
54 = 54 + b
0 = b
So, the equation is y = 6.75x
Enter the terms and the coefficients of the expression.
-60+ 7p - 3z
The terms are
, and
The coefficients are
and
Answer/Step-by-step explanation:
A term is part of an expression, which could be a number, a number multiplied with a variable, a variable, or 2 variables multiplied together.
The terms in the given expression, [tex] - 60 + 7p - 3z [/tex], are [tex] -60, 7p, -3z [/tex].
Coefficient is the number that is multiplied by a variable.
The coefficients in [tex] - 60 + 7p - 3z [/tex], are: [tex] 7, -3 [/tex].
f(x)= 1 / x-3 g(x)= 3x + 1/x A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation. Please answer this worth 20 points
Step-by-step explanation:
(A) To find inverse of f(x) = y = 1 / x - 3 :
Transform in terms of x
y = 1 / x - 3
x - 3 = 1 / y
x = 3 + 1 / y
Exchange x with y :
[tex] {f}^{ - 1} (x) = 3 + \frac{1}{x} [/tex]
Therefore, g(x) is not inverse of f(x) and vice versa.
(B)
Domain of f(x) = R - {3}
Domain of g(x) = R - {0}
A. Area of the circle
B. Area of the rectangle
C. Calculate the area of the shaded region.
A. To find the area of a circle you need to use the formula A= π r²
The radius (R) is half of the diameter . . . that's 6.5 cm .
r² = ( 6.5)² = 42.25 cm²
Area = π r² = 42.25 π = 132.7 cm²
B. Area of a rectangle is just (length) x (width).
Length = 12 cm
Width = 5 cm
Area = (12 cm) x (5 cm) = 60 cm²
C. The shaded portion is the part of the circle that's NOT in the rectangle. So its area is (area of the circle) - (area of the rectangle)
Area = (132.7 cm²) - (60 cm²) = 72.7 cm²
Simplify ( If possible please show work)
Answer:
x^2y / 4
Step-by-step explanation:
x^4 y^4 / 4x^2 y^3
x^4 / x^2 = x^2 and y^4 / y^3 = y so:
this = x^2y / 4
Carlos gets in a taxi that charges.20 per mile and initial charge of $1.00. Write an expression that Carlos could use to help him determine the total
cost of his trip where x represents the number of miles.
Answer: .20x+1.00
Step-by-step explanation:
Given that 110ₓ = 40₅ , find the value of x.
Answer:
is therr more to that question
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
110ₓ = 40₅ --------- change all to base ten.
the system called binary
1x²+1x ¹+0x⁰ = 45¹+0*5⁰
x² + x + 0 = 20
x² + x – 20 = 0
solve x using Quadratic equation
-1 ± [tex]\sqrt{1^2 - 4 * 1 * (-20)}[/tex]
x = ------------------------------------
2 * 1
x = -5; x = 4
therefore, x = 4
Evaluate 8j - k + 14 when j = 0.25 and k = 1
Answer:
Step-by-step explanation:
8*0.25-1+14
=2-1+14
=1+14
15
please help out i’m stuck please and thank you
======================================================
Explanation:
The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4
Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.
Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.
We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b
y = mx+b
6 = (4/3)(3) + b
6 = 4+b
6-4 = b
2 = b
b = 2
The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.
--------------
Extra info:
If you want to convert to standard form Ax+By = C, then you could do the following steps
y = (4/3)x + 2
3y = 4x + 6 ... multiply everything by 3 to clear out the fraction
3y - 4x = 6
-4x + 3y = 6
4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0
If n-8=-3, what is 3n?
Answer:
34
Step-by-step explanation:
The formula for average speed when traveling a distance of ddd over a time ttt is \dfrac dt
t
d
start fraction, d, divided by, t, end fraction.
Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run 777 kilometers per hour!" and Cameron says "I can run 100100100 meters per minute!"
Answer:
Jeff is faster
Step-by-step explanation:
kilometers are faster than meters
and 7 kilometers is 700 meters
so 100 meters isn't fast enough compared to Jeff's speed
Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.
How to calculate the average speed of a body?The average speed of a body is the ratio of the distance covered by the body to the time it takes to cover that distance.
How to solve the given question?In the question, we are given that Jeff says that he can run 7 kilometers per hour while Cameron says that he can run 100 meters per minute.
We are asked to tell who is the faster among them.
We need to know that, 1 kilometer = 1000 meters, and 1 hour = 60 minutes.
Jeff's average speed = 7 km/hr. = 7km/1hr = (7*1000) m / (1*60) min
or, Jeff's average speed = 7000/60 meters per minute = 116.67 meters per minute.
We are given that Cameron's average speed is 100 meters per minute.
So, we can say that Jeff is faster than Cameron, as
Jeff's average speed > Cameron's average speed.
∴ Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.
Learn more about the average speed of a body at
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a florist sells bouquets that use Rose's and carnations in a ratio of 2 to 7. she receives a shipment of 343 carnations. how many Rose's will the florist need?
Answer: 98 roses
Step-by-step explanation: 2:7 is like x:343
343 divided by 7 is 49, so that is what you multiply 2 by to get the roses. 49 x 2 = 98
Answer:
343÷7×2=98
98 roses
The ratio of flowers is 7 to 2. The answer is question 98
can you please help me
Answer:
12
Step-by-step explanation:
What is the value of the expression below when y 8 and z = 8? 9y + 3z
Answer:
96
Step-by-step explanation:
8y+3z
9(8)+3(8)
72+24
96
The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour. How many miles did she travel each hour? • 23 miles per hour • 35 miles per hour • 42 miles per hour • 53 miles per hour
Answer:
35 miles per hour
Step-by-step explanation:
175 -140 = 35
35/1 = 35
Answer:
35
Step-by-step explanation:
Solve the following system of equations using the elimination method.
6x + 7y = 10
–8x – 14y = –4
Question 3 options:
A)
(3,–8)
B)
(4,–2)
C)
(–4,6)
D)
(7,–3)
Answer:
Step-by-step explanation:
12x + 14y = 20
-8x - 14y = -4
4x = 16
x = 4
6(4) + 7y = 10
24 + 7y = 10
7y = -14
y = -2
(4, -2)
the solution is B