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3 years ago

5

What does c equal in this equation 6c + 11 = 2c + 59

1 answer:

irinina [24]3 years ago

8 0

Combine like terms you would get 4c=48 then divide it by 4 you'll get c=12

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Danielle earns an 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salar

Sauron [17]

Lets begin with our y=mx+b, our constant(b) is 800 that she earns as a salary, our x represents the amount she sells, m then represents the commission which is 8.25% so converting that to a decimal and replacing it as m gets us y = 0.0825x+800. Replace $4500 for x and we have y=0.0825(4500)+800 solve and we get $1171.25

7 0

3 years ago

A coffee shop covers it coffee cups for holiday seasons. Their cups are cylindrical, have a 2 inch radius, and a height of 6 inc

slega [8]

Answer:

Surface area of square box cover is 4x12=48 $in^{2}$

Step-by-step explanation:

Given cylindrical cup have 2 in of radius and height of 6 in.

It is said that we need to cover the cup leaving top and bottom of cup.

To find how much material to cover:

After covering the cup, square box will be formed around the cup.

As shown in figure, Top view of square cup and box.

One face of box has length of diameter of cup = 2 in and height of box as height of cup = 6 in

Therefore, Area of one face of square box is length x height = 2 x 6 =12 $in^{2}$

Since, Box having 4 faces

Surface area of square box cover = 4 x area of one face of box

= 4x12=48 $in^{2}$

8 0

3 years ago

The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.

Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

$n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760$

b) How many of these delegations have all men?

$n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4 \\n_{men} = 60480$

c) How many of these delegations have at least one woman?

$n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280$

4 0

3 years ago

A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

Wewaii [24]

Answer:

$y=120,000(1.055)^x$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the value of the home

x is the number of years

a is the initial value

r is the rate of change

we have

$a=\$120,000\\r=5.5\%=5.5/100=0.055$

substitute

$y=120,000(1+0.055)^x$

$y=120,000(1.055)^x$

7 0

3 years ago

B) If A x B = {(-1, 1), (-1, 2), (2, 1), (2, 2), (3, 1), (3, 2)}. Find A x A and B x B.

Oduvanchick [21]

hope this helps!

Step-by-step explanation:

A = {-1, 2, 3}

B = {1,2}

AxA = {(-1,-1) (-1,2) (-1,3) (2,-1) (2,2) (2,3) (3,-1) (3,2) (3,3)}

BxB = {(1,1) (1,2) (2,1) (2,2)}

7 0

2 years ago