Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
The function g(x) is defined as shown.
What is the value of g(0)?
On her first science test, Whitney scored a 92%. On the second test, she scored an 80%. What is the approximate percent of decrease in her score?
Answer:
Step-by-step explanation:
Decrease = 92 - 80 = 12
Percent of decrease in her score = [tex]\frac{12}{92}*100\\[/tex]
= [tex]\frac{1200}{92}\\[/tex]
= 13.04
= 13 %
Answer:
it would be a 12 percent
Step-by-step explanation:
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Answer:
I'm so sorry I can't help
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?
Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
I need to match each equation with the right answers and I need to show my work for each one
Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan $255.94. What was the amount of the loan?
Answer:
$243.17
Step-by-step explanation:
X+(X*5.25/100)=255.94
Make x the subject
X=243.17
Given that m=r-s/2nr
Make r the subject .
PLEASE I NEED IT NOW.
THANK YOU . WHOEVER ANSWERS FIRST I WILL GIVE A FOLLOW AND BRAINLIEST
Step-by-step explanation:
[tex]m = \frac{r - s}{2nr} [/tex]
m(2nr) = r-s
2×n×r×m = r-s
move the r on the right side to the left side
2nrm - r = -s
r ( 2nm - 1 ) = -s
[tex]r \: = \frac{ - s}{(2nm - 1)} [/tex]
Answer:
I think it will help you
please help asapppppppppppppp
If we perform the vertical line test, we can see that every line touches the graph once. This means that the graph is a graph of a function.
Answer choice b is correct.
if 1 bag of popcorn would fill 2 paper bags, and i have 24 bags of popcorn, how many paper bags do i have? ( please help!! urgent aahhh )
Answer:
48
Step-by-step explanation:
1 b = 2p
24 b = 48 p
award brainliest if this helped! :)
A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.3 m long. The woman hopes to land in the water at a point that is 13.7 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 89°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre.
Answer:
6.4 m
Step-by-step explanation:
The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.
Note that the woman used the rope to move down in
Applying the cosine rule;
[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]
[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]
[tex]c^{2} = 6.4 m[/tex]
convet one solar day into second
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s
Answer: 7.07 m/s
Step-by-step explanation:
I took the quiz and that was the correct answer 5 is wrong
The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The present speed of the dog is 10 m/s.
Suppose the mass of the dog be m kg.
Since, the kinetic energy of an object is given as K = 1/2mv².
As per the question, the following expression can be written,
Initial energy, K₁ = 1/2m × 10²
= 50m
Final energy, K₂ = K₁/2
= 50m/2
= 25m
Using the expression for kinetic energy,
1/2mv² = 25m
=> v² = 50
=> v = √50
= 7.07
Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.
To know more about proportionality click on,
brainly.com/question/22620356
#SPJ2
3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.
Answer:820
Step-by-step explanation:
Since he got $500 the first week multiply 80x4 which is 320+500 is 820$
ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 400⋅1.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 300⋅1.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent more annual interest than Mario’s account. B. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent less annual interest than Yvonne’s account. C. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent less annual interest than Mario’s account. D. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent more annual interest than Yvonne’s account.
Answer:
nothing at all.
Step-by-step explanation:
Solve the system by substitution.
Y = 10x
7x + 3y =
37
Answer:
x=1 , y=10
Step-by-step explanation:
i attached photo of steps of solution
A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?
The rate of descent was ____ feet per minute.
Please help ASAP my assignment is due in less then an hour.
Answer
The rate of descent was 59.5 feet per minute
Step-by-step explanation:
2( 3y−8 ) = 8 what is y?
[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]
Early in November, it was 37 O F on a particular day. The temperature has dropped 2 O F every day since then. It is now -11 O F. How many days have passed since it was 37 O F outside?
Find the slope of the line that passes through (9,6) and (1,3)
Answer:
3/8
Step-by-step explanation:
Slope m = (y2-y1) / (x2-x1)
= (3-6) / (1-9)
= (-3) / (-8)
= 3/8
PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE
2 + 29m - 9m - 5 =
HELP
Answer:
20m-3
Step-by-step explanation: hope that helps :)
2+29m−9m−5
=2+29m+−9m+−5
Combine Like Terms:
=2+29m+−9m+−5
=(29m+−9m)+(2+−5)
=20m+−3
What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?
Answer:
The same thing would happen over and over again.
On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles
Answer:
X = 5
Step-by-step explanation:
When the lines are parallel, the corresponding angles are equal in measure then:
m<2 = m<6
7x - 5 = x + 25
7x - x = 25 + 5
6x = 30
x = 5
Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation
y - 6 = 4(1 – 4)
W
Which of the following shows a graph of the equation above?
rr
+ Y
8
6
2
-2
1:
X
-E
2
6
8 x
-2
Fo
W.
X.
V
Y
x
Y
z.
y-6 =4 (1-4)
y-6=-12
y=-6
Answer:y= -6
There are 12 months in a year and 52 weeks in a year. What is the ratio of months to weeks in one year? A 6/27 B 3/13 C. 13/3 D. 27/6
Answer:
B.
Step-by-step explanation:
12/52=6/26=3/13
Heeeeeeeeeeeeeeeeeeeelp asap due today at 7
Answer:
1. 3 hours
2. i cant figure this one out
Step-by-step explanation:
Answer:
Haha
Step-by-step explanation:
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Two angles are supplementary. If one of them is 30 degrees, the other is...
150
150
30
30
15
15
60
Answer:
450
Step-by-step explanation:
What is the missing exponent
Answer:
x^5 is the missing
An ice cream shop sells five sundaes for every six cones. Yesterday the shop sold 60 sundaes. How many cones were sold?
Answer:
50
Step-by-step explanation:
To get each sundae come from sold, you divide sold by for every x cones, then multiply by how many sundaes
Answer:
72
Step-by-step explanation:
60÷5=12
6×12=72 cones