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ANTONII [103]
2 years ago
6

Suppose you are making a deposit into your checking account. You have a check for $350, cash and coins totaling $225 and you wan

t to receive a $100 bill. What is the total deposit amount?
Mathematics
1 answer:
Serjik [45]2 years ago
8 0
675 I believe is the total
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-x < - 29 solve for x
AleksAgata [21]

Answer:

x<29

Step-by-step explanation:

divide both sides by -1 since x cannot be negative

4 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder have the same height and radius. The volume
USPshnik [31]

Step-by-step explanation:

radius of sphere, rs

radius of cylinder, rc

height of cylinder, h

given: h = rs = rc =r..eq1

volume of cylinder, vc = 27pi ft...eq2

volume of cylinder, vc = pi × rc^2 × h...eq3

volume of sphere, vs = 4/3(pi×rs^3)...eq4

subst for h & rs from eqn 1 in eqn 3...

vc = pi x r^2 x r= pi x r^3...eqn 5

subst for vc from eqn 2 in eqn 5...

=> 27 pi ft = pi x r^3

=> 27 = r^3

=> r = 3ft...eqn 6

subst for rs from eqn 1 in eqn 4

vs = 4/3 (pi x r^3)...eqn7

subst for pi x r^3 from eqn 5 in eqn 7

vs = 4/3 vc = 4/3 (27pi ft) = 36 pi ft

6 0
3 years ago
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below. V=1/3πR^H Write the formula to
iren [92.7K]

Answer:

h=\frac{1}{3} \pi r^{2} v

Step-by-step explanation:

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4 0
3 years ago
A large bottle of juice contains 500 milliliters. A smaller size bottle has 70% as much juice. How many milliliters or juice are
marishachu [46]
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4 0
3 years ago
Read 2 more answers
A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells
Scrat [10]

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

                #lbs     x       $/lb       =         Total

T

K

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

                 #lbs        x        $/lb       =        Total

T                                           9

K                                         13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

                  #lbs      x       $/lb        =        Total

T                                         9

K                                       13.50

Mix              50                 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

                 #lbs       x       $/lb      =      Total

T                   x        x          9         =        9x

K             50 - x      x       13.50     =    675 - 13.50x

Mix            50        x         9.54     =     477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.

6 0
3 years ago
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