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adelina 88 [10]
3 years ago
9

Mae Ling earns a weekly salary of $300 plus a 6.0% commission on sales at a gift shop. How much would she make in a work week if

she sold $4,100 worth of merchandise?
Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

546

Step-by-step explanation:

300 + (4100*.06)

300 + 246

546

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While sitting on a rooftop 95 feet off the ground Mary flicks a twig up and off of the ledge with the initial vertical velocity
cestrela7 [59]

Answer:

The maximum height of the twig is 96.6 feet off the ground

Step-by-step explanation:

To determine the maximum height of the twig,

First, we will determine the height distance covered by the twig after Mary flicks the twig up.

From the question,

Mary flicks a twig up and off of the ledge with the initial vertical velocity of 10 feet per second, that is

the initial velocity of the twig is 10 feet/second

At maximum height, the final velocity is 0

From on the equations of motions for bodies moving upwards,

v² = u² - 2gh

Where v is the final velocity

u is the initial velocity

g is the acceleration due to gravity (Take g = 9.8m/s² = 32.17 ft/s²)

and h is the height

From the question

u = 10 feet/second

and v = 0 feet/second

Putting the values into the equation

v² = u² - 2gh

0² = 10² - 2(32.17)h

0 = 100 - 64.34h

64.34h = 100

h = 100/64.34

h = 1.6 feet

This is the height distance covered by the twig after Mary flicks it up.

Now, the maximum height of the twig will be the sum of the height of the rooftop from the ground and the height distance covered by the twig.

That is,

Maximum height = 95 feet + 1.6 feet

Maximum height = 96.6 feet

Hence, the maximum height of the twig is 96.6 feet off the ground.

7 0
3 years ago
How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Lemur [1.5K]

Answer:

72 cubes

Step-by-step explanation:

Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.

In each row number of unit cubes arranged = 9

Right view side of the prism shows the unit cubes arranged in two columns.

Number of unit cubes in each column = 4

Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns

= (9 × 4) × 2

= 72

Therefore, number of cubes filled completely in the prism with no gaps = 72

6 0
3 years ago
Rolando is 17. In four years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years
Bess [88]
To find the answer, we can first find the age of Rolando in four year:

17+4
=21

We can then proceed to find the current age of Marisa,which is 3/2 of Rolando’s age calculated above:

Let Marisa’s age be y.

3/2 y =21
y = 21 × 2/3
y = 42/3
y = 14

Therefore Marisa is currently 14 years old.

In three years, Marisa would be:

14+3
=17

Therefore, she will be 17 years old.

Hope it helps!
5 0
3 years ago
Write the CONTRAPOSITIVE of the following statement: If three points are coplanar, then they are collinear.
AveGali [126]

Answer:

If they are not collinear, then the three points are coplanar.

Step-by-step explanation

Contrapositive is the negative + opposite of the original statement.

5 0
3 years ago
Write the equation y=-1/2x+3 in standard form. how do I do this?
Lapatulllka [165]
Standard form is ax + by = c.  Begin our transformation by multiplying both sides by 2 to get rid of the fraction.  Notice that ax + by = c does not allow for fractions.  Doing that multiplication gives us 2y=-x + 3.  Now move the x over by the y by addition.  x + 2y = 3.  And there you go!
7 0
3 years ago
Read 2 more answers
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