A high school football team scored 39 points in the game last night, with a combination of touchdowns (6 points each), extra points (1 point each), and field goals (3 points each).
The team make 1 more extra point than field goals, represented by the equation e=f+1, where e is the number of extra points and f is the number of field points scored.
They also scored five times as many points on touchdowns as field goals, represented by the equation 6t=15f, where t is the number of touchdowns and f is the number of field goals scored.
Write a system of equations representing this situation and use it to complete the statement.
The team scored __ touchdowns, __ extra points, and __ field goals.
Answer:
39=6t+3f+e
39=19f+1
5 touchdowns, 3 extra points, and 2 field goals.
Step-by-step explanation:
e=f+1
6t=15f
39= 6t +3f +e
^ ^ ^
39=(15f)+(3f)+(f+1) | e=f+1 | 6t=15f
39=19f+1 | e=2+1 | 6t=15(2)
38=19f | e=3 | 6t=30
f=2 | | t=5
A proportion(Equivalent fraction) is a set of two equal ratios for example: 20/30=10/15 true or false!!! Please answer fast
Answer: true
Step-by-step explanation:
plz help me its do today
Answer:
your doing slope too?
Step-by-step explanation:
bro im doing that rn
Answer:
Slope: 1
Y intercept: 2 or (0,2)
Equation: y=x-2
Step-by-step explanation:
Find the slope and the y-intercept of the graph of y
-4/5x - 2
Answer:
slope - (-4/5)
y- intercept - (0,-2)
Step-by-step explanation:
Answer:
the slope is -4/5 and the y intercept is -2
Step-by-step explanation:
1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole.
Answer:
75 m
Step-by-step explanation:
Let the length of the pole to be : x m
1/5 of x is inside the mud, this will be : 1/5 x
2/3 of x in inside water , this will be : 2/3 x
10 m remaining is above the water surface. Finding the fraction that remains will follow;
x - {1/5 x + 2/3x } = 10
x-13/15 x =10
2/15 x = 10
x= 75 m
Urgent !! To solve a system of equations into y2. Given the following information, find the solution to the system of equations. i. The y-intercepts for the lines are (0,3) and(0,-7) ii. Line 1 has a slope of -3 iii. Line 2 has a slope of 2
Answer:
i think 2 if not sorry
Step-by-step explanation:
it makes the most scene to me
what are the lengths of the sides of a square which has an area of 81 cm
Answer:
9 cm
Step-by-step explanation:
If the area is 81 cm², this means that the length is 9 cm as length² of a square equals its area.
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 33 chaperones for a field trip with 24 2424 students.
Answer:
Step-by-step explanation:
3 chaperones for every 24 students or 3:24
so that would be 1 chaperone for every 8 students
Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20
Answer:
Average rate of change = 0.4
Step-by-step explanation:
Average rate of change of a function in the interval [a, b] is defined by the formula,
Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the table attached,
Rate of change of the function in the interval 20 ≤ x ≤ 40 will be
= [tex]\frac{f(40)-f(20)}{40-20}[/tex]
= [tex]\frac{24-16}{40-20}[/tex]
= [tex]\frac{8}{20}[/tex]
= [tex]\frac{2}{5}[/tex]
= 0.4
Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4
Help ASAP!!!!!!! Points
Answer:
A: (3x+24):3x = 85:51
Step-by-step explanation:
85 seems to be the total (RT + TP). 51 seems to be just TP alone.
This means that for the side lengths above, it should be in this format:
(length of QP):(length of SP)
The length of QP is 3x+24, as 3x is SP and QS is 24.
The length of SP is just 3x.
I hope this made sense, please leave a comment if it didn't ^^'
Answer:
∆RPQ ~ ∆TPS
now
RP: TP=QP:SP
(34+51);51=(3x+24):3x
(3x+24):3x=85:51 is your answer
$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .
Answer: 3: $3.50 for one pound
4: The value of X is 10
5: P has the value of 2
Step-by-step explanation:
hi, can someone help me on a p e x? learning
Sure whats the problem?
The value of the expression 5³ is 125.
We have,
The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.
In mathematics, exponentiation is an operation that involves raising a base number to a certain power.
The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).
When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:
5³ = 5 x 5 x 5 = 125
So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.
Thus,
The value of the expression 5³ is 125.
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The complete question:
What is the value of 5 raised to the power of 3?
The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)
Answer:
g(4) = 5, fg(2) = 7/-3, gˉ¹(7) = 2
Step-by-step explanation:
i.) g(4)= 2(4) -3
g(4) = 8 -3
g(4) = 5
ii.) fg(2)
g(2) = 2(2)-3
g(2)= 4-3
g(2) = 1
fg(2) = 2(1)+5/1-4
fg(2) = 7/-3
iii.) g(x) = 2x -3
g(y) = 2y -3
x = 2y -3
x-3 = 2y
y= (x-3)/2
gˉ¹(7) = ((7)-3)/2
gˉ¹(7) = 4/2
gˉ¹(7) = 2
Find the sale price to the nearest cent.
$325 tent; 15% discount
Answer:
$276.25
Step-by-step explanation:
$325 times (100% -15%)
$325 times 0.85
what is the equation of the line in slope intercept form
what is the shortest possible distance between the houses
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
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What is 6^4 x 6 1/4????
Answer:
8100
Step-by-step explanation:
Please Help Quick ASAP Hurry This is Pre-Algebra 1 i need the answer now please ASAP
Which Word Best describes the numbers 10 and -10?
A.Opposites
B.Coordinate
C.Absolute Value
D.Expression
Answer:
Part A
Step-by-step explanation:
Which expression is undefined
Answer:
A
Step-by-step explanation:
Any rational expression where the denominator is zero is undefined.
The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]
isolate the variable on the following problem. show your work.
-2=-4+x
Answer:
x=2
Step-by-step explanation:
Add 4 to both sides:
-2=-4+x
-2+4=-4+4+x
2=x
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
First we must add 4 to both sides.
[tex]-2 = -4 + x[/tex]
+4 +4
-4 + 4 = 0
-2 +4 = 2
Isolating a variable means that it is alone on its side of the eqation.
[tex]2 = x[/tex]
x is now isolated and we also have the solution for it.
[tex]x = 2[/tex]
Quadratic functions 2. Did I do it right
Rounded to the nearest whole number, approximately how many inches is 8.39 kilometers?
A.
21,311 inches
B.
33,018 inches
C.
213,106 inches
D.
330,180 inches
Answer:
D. 330,180 Maybe?
Step-by-step explanation:
8.39 Kilometers = 330314.961 Inches
I rounded to 330,315
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.
Answer:
why is your profile therealeisha1
Step-by-step explanation:
i love her so much
Which of the following is an open statement
Answer:
where are the options please
what is the effect on the graph of the function f x is equal to the square root of x - 2
Answer:
g(x) = (x-3)^2 - 3
Step-by-step explanation:
to move up or down just add or subtract the constant equal to the units moved
so just to move it DOWN 3 would give us
g(x) = x^2 - 3
to move horizontally replace each x with (x ± c)
if you move it to the right, you need x - c
if you move it to the left , you need x + c
so , since we are moving 3 units to the right, we replace the x with x-3
g(x) = (x-3)^2 - 3
sorry if I get it wrong.
One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.
Answer:
The two numbers are 23 and 28
Step-by-step explanation:
We are given that
[tex]X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28[/tex]
Given: Triangle ABC with vertices A(5,-2), B(5.-7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
Answer: C (0,0), (-4,0) and (0, -5)
Step-by-step explanation:
After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.
To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.
Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.
The new coordinates for the repositioned triangle will be:
A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)
B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)
C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)
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1. To graph any linear equation in the calculator it needs to be in the slope
y intercept form. What is the slope y-intercept form for the equation
4y – 20x = -8
Answer:
y=mx+b no judgement i think this is right but i coukldbe completely off
Step-by-step explanation:
HELP IMMA- FLIP IM DESPERATE
Answer:
The line that matches the equation y=2x+4 is line e.
please someone help asap i will give brainliest
Answer:
Step-by-step explanation:
c≥ -1.95
[-1.95,∞)
solid circle on -1.95 and go right