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4 years ago

Alex is six years older than his sister, Emma. The sum of their ages is 32. How old is Alex?

2 answers:

5 0

Let Emma= e, Alex= 6+e because he is 6 years older than Emma. Since their sum is 32, you would add e+(6+e)=32 and solve for e.

e+(6+e)=32
6+2e=32
2e=32-6
2e=26
e=26/2
e=13
So Emma is 13, Alex is 13+6=19 years old.

Gemiola [76]4 years ago

3 0

First, assume Alex is X years old and that Emma is Y years old.

Since Alex is 6 years older than Emma, it means X - 6 = Y. 

Since the sum of their ages is 32, it means X + Y = 32. 

Substitute the Y in the second equation with X - 6 to get X + (X-6) = 32. This is simplified to 2X - 6 = 32 or 2X = 38. Solving the equation for X gets that X = 19. 

This means Alex is 19.

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2. Mourette is a member of her high school golf team. She hits a golf ball

Llana [10]

Answer:

a. h = 60t − 4.9t²

b. 12.2 seconds

c. 183.7 meters

Step-by-step explanation:

a. Given:

y₀ = 0 m

v₀ = 60 m/s

a = -9.8 m/s²

y = y₀ + v₀ t + ½ at²

h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²

h = 60t − 4.9t²

b. When the ball lands, h = 0.

0 = 60t − 4.9t²

0 = t (60 − 4.9t)

t = 0 or 12.2

The ball lands after 12.2 seconds.

c. The maximum height is at the vertex of the parabola.

t = -b / (2a)

t = -60 / (2 × -4.9)

t = 6.1 seconds

Alternatively, the maximum height is reached at half the time it takes to land.

t = 12.2 / 2

t = 6.1 seconds

After 6.1 seconds, the height reached is:

h = 60 (6.1) − 4.9 (6.1)²

h = 183.7 meters

7 0

3 years ago

SOS PLZ IDK THIS VERY WELL NEED HELP

zaharov [31]

Answer:

1. a. 25(1) + 10(2) + 3(3) + 10(4) = 94/140 = .671

2. b. Mark’s average < Jay’s average

Step-by-step explanation:

1. What is Mark’s slugging average?

The slugging average gives more weight to the multi-base hits (compared to single-base hits) in opposition with the batting average.

So, a single hit is worth 1 point, a double is worth 2 points, a triple 3 points and a homerun is worth 4 points. It's a weighted average calculation.

Mark had 25 singles, 10 doubles, 3 triples and 10 homeruns during 140 presences 140 at bat.

25(1) + 10(2) + 3(3) + 10(4) = 94/140 = .671

2. How does Mark's average compares to Jay's?

Let's first calculate Jay's slugging average then we'll be able to decide.

Jay had 10 singles, 6 doubles, 5 triples and 14 homeruns in 90 presences.

10 (1) + 6 (2) + 5 (3) + 14 (4) = 10+12+15+56 = 93 / 90 = 1.033

We can definitely say that Mark's slugging average (0.671) calculated above is lower than Jay's average (1.033). So,

b. Mark’s average < Jay’s average

8 0

4 years ago

Jake, Lionel, and Wayne work as house painters for Paint Well Company. Jake can paint 1 room in t hours. Lionel can paint a room

34kurt

Hours to paint one room
Jake: t hours 
Lionel: t-2 hours 
Wayne: (1.5)(t-2) hours 

Now who is Donald? 

Shall we assume that by "Donald" you meant "Wayne"? 

If t is 6 hours, then the hours to paint one room is 
Jake: 6 hours 
Lionel: 4 hours 
Wayne: 6 hours 
This means that in one hour: 
Jake can paint 1/6 of a room, 
Lionel can paint 1/4 of a room, 
Wayne can paint 1/6 of a room. 
Added together, the three of them can paint (1/6 + 1/4 + 1/6) = 7/12 of a room in one hour.

7 0

3 years ago

The product of 4x and 0 is

Alborosie

Answer:

Step-by-step explanation:

any thing that is multiplied by 0 will be 0

8 0

3 years ago

The equation for line r can be written as y =-1 5 x – 1 .Line s includes the point (10, 4)and is parallel to line r. What is the

Dominik [7]

Using the equation y=mx+c where m is the slope, we can see that the slope is -15.
since line s is parallel to line r it will have the same slope.
now we can use the point-slope form equation to determine the equation of line s.
point (10.4) is taken as (x1,y1) and the equation is (y-y1)=m(x-x1)
which gives y-4=-15(x-10)
you can solve this equation to get the final equation

5 0

3 years ago