Austin plays both forward and goalie on the school soccer team. He has played forward in 4 games for every 3 games he has been the goalie this season. Pick the diagram that models the ratio in the story. If Austin has played forward in 8 games, in how many games has he been the goalie?
Answers
Answer:
Austin has been the goalie in 6 games.
Step-by-step explanation:
The diagram that models the ratio in the story is a fraction diagram.
Let's represent Austin playing forward as F and Austin being the goalie as G.
According to the story, Austin has played forward in 4 games for every 3 games he has been the goalie. This can be represented as the fraction 4/3.
Now, we know that Austin has played forward in 8 games.
To find out how many games he has been the goalie, we can set up a proportion using the ratio from the story:
4/3 = 8/x
To solve for x, we can cross-multiply:
4x = 3 * 8
4x = 24
Dividing both sides of the equation by 4, we get:
x = 6
Therefore, Austin has been the goalie in 6 games
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If f(x)=3^x and g(x)=2x+5, at which value of x is f(x)
Suppose U=(-1,-2,-3,4,5,6,7,8) is the universal set and X=(-2,4,6,8) what is x?
Find the constant of variation k for the direct variation 2x +6y = 0
Answers
Answer:
0
Step-by-step explanation:
To find slope you need to take two points from the line and use the slope formula ()
Im going to take the points (0,3) and (-2,3) So now lets put these coordinates into the formula:
this would give us 0
(Edit* tbh i think the line might not even exist - ya know it says ¨Find the slope of the line if it exists¨ anyway ~_~ hope this helped...!)
Answer:
Slope m=-5/3
Step-by-step explanation:
Slope is m =(y2-y1)/(x2-x1)
You need to use two points
(x1,y1)= (0,3)
(x2,y2)= (3,-2)
m=(-2-3)/(3-0) = -5/3
a triangle
B.
ellipse trapezoid
C.
a square
D.
a rectangle
Answers
You would basically just be lopping off some congruent triangle from each base.
The now-exposed inside of the prism would be a rectangle.
Equation B: 3y = 3 – 4z
Step 1: –3(y) = –3(15 – 2z) [Equation A is multiplied by –3.]
3y = 3 – 4z [Equation B]
Step 2: –3y = 15 – 2z [Equation A in Step 1 is simplified.]
3y = 3 – 4z [Equation B]
Step 3: 0 = 18 – 6z [Equations in Step 2 are added.]
Step 4: 6z = 18
Step 5: z = 3
In which step did the student first make an error
Answers
Answer:
Step 2
Step-by-step explanation:
Where did the -3 from the first equation get simplified to?
Step 1: –3(y) = –3(15 – 2z)
Step 2: 3y = 15 – 2z
B) Acute
C) Obtuse
Answers
a = 7 ; b = 24 ; c = 26
a² + b² = c² ⇒ right triangle
a² + b² > c² ⇒ acute triangle
a² + b² < c² ⇒ obtuse triangle
7² + 24² = > < 26²
49 + 576 = > < 676
625 < 676 OBTUSE TRIANGLE
Answers
Rounded to the nearest thousandth, they are
11.196
and
0.804 .
11.196 + 0.804 = 12
11.196 x 0.804 = 9.002...
Answers
Answer:
"Cost would be between $51.41 and $54.59"
Step-by-step explanation:
3% margin of error means that the cost can be
- 3% lower, or
- 3% higher
First we need to find 3% of $53 and then we will "add" and "subtract" from $53 to get the range of values of cost.
To get 3% of $53, we need to convert the percentage to decimal and multiply with $53. To get percentage to decimal, we divide by 100, so we have:
3/100 = 0.03
Now,
0.03 * 53 = $1.59
The range would be:
$53 + $1.59 = $54.59
and
$53 - $1.59 = $51.41
Cost would be between $51.41 and $54.59