Answer: Amy is incorrect. The answer is -5 points.
Step-by-step explanation:
From the question, we are informed that Amanda earned 20 points for winning a sprint in the first race but got -25 points in the second race.
Based on the information above, Amanda's total score now will be:
= 20 + (-25)
= 20 - 25
= -5
The answer is -5 points.
Amy is wrong because (+) × (-) = (-)
The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a'
Answer:
Remember that a vector translation can be written as:
T(a, b)
And if we apply this to a random point, (x, y), the translation gives:
T(a, b)(x, y) = (x + a, y + b)
now, remember that a general line can be written as:
y = m*x + s
Then a point of that line can be written as: (x, m*x + s)
Then if we apply the translation to a point in the line, we get:
T(a, b)(x, m*x + s) = (x + a, m*x + s + b)
Here we have two lines:
2x - 3y - 1 = 0
2x - 3y + 5 = 0
First, let's rewrite both of these in the slope-intercept form:
y = (2/3)*x - 1/3
y = (2/3)*x + 5/3
Now let's assume that we apply a translation to the first line, that has points of the form (x, (2/3)*x - 1/3), such that we want to get points of the form:
(x, (2/3)*x + 5/3).
Then we must have:
T(a, b)(x, (2/3)*x - 1/3) = (x + a, (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).
Then we need to solve:
(x + a, (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).
This means that:
x + a = x
(2/3)*x - 1/3 + b = (2/3)*x + 5/3
From the first equation, we can see that a = 0
Now we can solve the second one to find the value of b.
(2/3)*x - 1/3 + b = (2/3)*x + 5/3
subtracting (2/3)*x in both sides, we get:
-1/3 + b = 5/3
b = 5/3 + 1/3
b = 6/3 = 2
b = 2
Then the vector translation is:
T(0, 2)
So it moves the whole line 2 units upwards.
What is the factor of
[tex] {x}^{4} - x[/tex]
Plz
Find the domain and range of this function.
Answer:
domain- (0, infinity) range- (1, infinity)
Step-by-step explanation:
toán 11!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
[tex]thr \: httr \: \: gr \: ujj \: tu \: \: fmgt[/tex]
Translate the following phrase into an algebraic expression. use the variable n to represent the number. 4 less than triple a number
Work Shown:
n = a number, aka a placeholder for a number
3n = triple a number
3n-4 = four less than triple a number
So whatever n is, we multiply by 3 and then subtract off 4.
As an example, if n = 12, then 3n-4 = 3*12-4 = 36-4 = 32.
Place in order in from largest to smallest:
0.204, 0.04, 0.24, 0.42, 0.024
Answer:
0.42, 0.24, 0.204, 0.04, 0.024
Step-by-step explanation:
Solve.
Sy= 2x - 6
4x – 2y = 14
Use the substitution method
Answer:
14.4 i hope it helped you
kim is 10 years older than laura. laura is twice as old as melissa. if melissa will be 1o years old in 5 years, how old is kim now
Answer:
Kim is 20 years old
Step-by-step explanation:
We have to make equations;
Kim= laura+10 so L+10
Laura is twice as old as Melissa so Laura will be
2 X M = 2M
Melissa is 5 years old nowInput values in to the equation
2M = 2X5= 10 years old (Laura)As Kim is 10 years older than Laura it will be 10+10
which will give the answer of 20The age of Kim is 20 years.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
Kim's age = laura' age +10 years
= x +10
As, Laura is twice as old as Melissa
Laura's age = 2*y
Now, Melissa is 5 years old now
So,
2y = 2X5= 10 years old
So, the Kim's age= 10+ 10 = 20 years old
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
. She lets numbers from 1 to __ represent defective batteries, and __ to __ represent working batteries. She generates this list: 120, 413, 472,564, 38, 266, 344, 476, 486, 177, 26, 331,358,131,352, 227, 31, 253, 31, 277
Answer:
Since 50 out of the 600 batteries are defective, She lets numbers from 1 to 50 represent defective batteries, and 51 to 600 represent working batteries
~OAmalOHopeO~
is three a solution of z^2 +1=4+3z?
Answer:
no
Step-by-step explanation:
z^2 +1=4+3z
Substitute into the equation and see if it is true
3^2 +1 = 4+3(3)
9+1 = 4+9
10 = 13
This is not a true statement so this is not a solution
shopkeeper gains rs540by selling some fruit but loses rs 612 by selling some vegetables. find the profit or loss
Answer:
sorry i dont know.......
Answer:
Loss = R.s. 72
Step-by-step explanation:
You can see in picture
Request : Please mark it brainliest answer
From the graph, determine the equation of the line. On the graph (3,10) and (0,4)
Answer:
y = 2x+4
Step-by-step explanation:
The y intercept is 4
We can find the slope
m = ( y2-y1)/(x2-x1)
= (4-10)/(0-3)
= -6/-3
= 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2x+4
If 4 cans of cat food costs $17.20, how many cans of cat food can be purchased
with $38.70
Answer:
9
Step-by-step explanation:
let the price of one can food be x,
4x=17.20
x=4.3
number of can foods that can be purchased = 38.70/x = 38.7/4.3 = 9
4CANS=$17.20
$38.70
cross multiply
4 multiply by 38.70 =154.8 divide by 17.20
ANSWER = 9
Find the measure of the indicated angle to the nearest degree.
13
6
Answer:
62.5 or 63
Step-by-step explanation:
the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)
the trig function that deals with adjacent and hypotenuse lengths is cosine.
cos(x) = adj/hyp
cos(x) = 6/13
x = 62.5
Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.
Answer:
Commercials x = 7
Movies y = 2
Step-by-step explanation:
Let commercials = x
Let's movies = y
$40 is for commercials
$110 is for movies.
Commercials plus movies for the Year = 9
She earned total of $500
X+ y = 9..... equation 1
40x + 110y = 500.... Equation 2
Multipling equation one by 40
40x + 40y = 360
Subtracting equation one from equation 2
70y = 140
Y = 2
If y = 2
X + y = 9
X + 2 = 9
X = 9-2
X = 7
Which expression is equivalent to 8f+5f?
The answer is
8f+5f
=13f
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option D, 192 m³
Step-by-step explanation:
Volume = base area × height
= (6×8/2)×8
= 192 m³
The diagram above shows a plan for a park. ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.
Answer:
Perimeter of the park = 70 cm
Step-by-step explanation:
Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter = 2πr + 2(BC)
✔️Perimeter of the 2 semicircles = 2πr
Where,
radius (r) = ½(AB) = ½(7)
r = 3.5 cm
Perimeter = 2*π*3.5 = 7*π
Perimeter of the two semicircles = 21.9911486 ≈ 22 cm
✔️Find BC using Pythagorean theorem:
Thus,
BC = √(AC² - AB²)
AC = 25
AB = 7
BC = √(25² - 7²) = √576
BC = 24
✔️Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter of the park = 22 + 2(24)
= 22 + 48
= 70 cm
What is the surface area of the cube, in square inches?
Answer:
The surface area of the cube is 648.96 sq in.
Step-by-step explanation:
This problem is made a lot easier by the fact that it's a cube.
So we first calculate the area of one of the faces. The length of the side of the side is 10.4 inches, and 10.4 * 10.4 = 100.16.
There are six faces, so we multiply the area of 1 face by 6. 100.16 * 6 = 648.96.
Therefore, the surface area of the cube is 648.96 sq inches.
Hope This Helps!
If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is _____ cm.
If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.
Answer: Perimeter = 10.5 cm
Step-by-step explanation:
Concept:
Here, we need to know what is an equilateral triangle.
An equilateral triangle is a triangle in which all three sides have the same length.
Perimeter = 3a
a = side length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
a = 3.5 cm
Given formula
Perimeter = 3a
Substitute the value into the formula
Perimeter = 3 (3.5)
Simplify
Perimeter = 10.5 cm
Hope this helps!! :)
Please let me know if you have any questions
In a bag there are red, green and purple counters. 3⁄8 of the counters are red, 1⁄6 of the counters are green. What fraction of the counters are purple?
Find an equation in slope-intercept form of the line that has slope –7 and passes through point A(8,-4)
a.) y = 52x + 7
b.) y = 7x + 52
c.) y = -7x - 52
d.) y = -7x + 52
Answer:
y = -7x + 52
Step-by-step explanation:
y = -7x - b
-4 = -7(8) + b
-4 = -56 + b
52
The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle.
if you like my answer then please mark me as brainliest
Please help its due in 30 minutes will mark braniliest
Answer:
Point A, B, and C are collinear points.
Step-by-step explanation:
When points lie on one line, meaning all of the points are on the same line --> this is known as collinear points.
Help Fast! I will rate
Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.
Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.
What is 2/3 - (-2/3)?
A) 4/3
B) 4/3
C) 0
D) 2/3
Answer:
Option A, 4/3
Step-by-step explanation:
2/3-(-2/3)
= 2/3+2/3
= (2+2)/3
= 4/3
There are 50 teenagers at a swim meet. The ratio of locals to out-of-town
participants is 2:3. How many teenagers travelled from out-of-town to the swim
meet?
Answer:
There are 30 out of towners
Step-by-step explanation:
locals: out of town: total
2 3 2+3 = 5
There are 50 total 50/5 =10 so multiply each term by 10
locals: out of town: total
2*10 3 *10 5*10
20 30 50
There are 30 out of towners
Total teenagers = 50
Ratio = 2:3
Let the ratio people out of town be x
2x + 3x = 50
5x = 50
x = 10
Therefore 3× 10, 30 people out of town travelled to swim meet
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Four bells at intervals of 12 minutes, 18 minutes, 20 and 25 minutes. If they toll together at 10 am, when next do they toll together again?
Answer:
1.00 am
Step-by-step explanation:
Find the LCM of 12,18,20 and 25
=900 min ....change it to hrs =15 hrs
10.00am___1000hrs
1000hrs+15hrs
=0100hrs
=1:00 am
A new Community Sports Complex is being built in Madision. The perimeter of the rectangular playing field is 324 yards The length of the field is 6 yards less than double the width What are the dimensions of the playing field?
anyone know the answer?
Answer:
B
Ive had this before
