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nikdorinn [45]
3 years ago
6

What is the answer of 24-10b=9

Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0
Subtract 24 from both sides , then divide -10 from both sides, you will get the answer to b which is 1.5

zzz [600]3 years ago
6 0

b is  1 1/2 or 3/2 or 1.5

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omar will donate up to $500 to charity. the money will be divided between two charities: the city of youth fund and educational
marshall27 [118]

Answer:

Please refer to the attached graph

Step-by-step explanation:

Knowing the following:

X = amount of money donated to the city youth fund

Y = amount of money donated to the educational growth foundation

We can write the statements in form of equations:  

"Will donate up to $500, the money will be divided between two charities"

(a) X + Y = \$ 500

"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"

(b) Y \geq 4X

If we graph both equations we can see the area where both conditions are met (see graph attached)

Where the blue line is (a) and the red line is (b)

Shaded area represent all the possible solutions for the donations, for example:

X=100 and Y=400 or

X=50 and Y=200, etc.

6 0
2 years ago
I have $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly
loris [4]

Answer:

-$1000

Step-by-step explanation:

(3800 - x)*3.5/100 = (3800 + x)*6/100

(3800 - x)7/200 = 3/50(3800 + x)

3800 - x = 12/7(3800 + x)

3800 - x = 45600/7 + 12x/7

(19x + 19000)/7 = 0

19x = -19000

x = -$1000.

The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

3 0
3 years ago
If 5y = 6x + 16 and 9x = 7y-20, what is the value of 3x - 2y?
Law Incorporation [45]

The value of 3x-2y is -4. From the equation 5y=6x=16 and 9x=7y-20 the values of (x,y) is (4,8).

Step-by-step explanation:

        The given equations are,

                 5y=6x+16.......................(1)

                 9x=7y-20......................(2)

                3x-2y...............................(3)

Step:1

    Modify the equations (1) and (2) in (x+y=constant) format,

                6x-5y=-16.....................(4)

                9x-7y=-20....................(5)

Step:2

     Equation (4) is multiplied by 7     ( ∵ 7×Eqn(4))

                42x-35y=-112..............(6)

Step:3

     Equation (5) is multiplied by 5     (∵ 5×Eqn(5))

               45x-35y=-100.............(7)

Step:4

    Subtracting Equation (6) and (7)

               42x-35y=-112

              45x-35y=-100

    ( - )

     (42x-45x)+(35y-35y)=(100-112)

     (-3x)+(0)=(-12)

    x=4

Step:5

    Substitute X value in Equation (1),

             5y=6x+16...................(1)

     where, x=4,

             5y= (6×4)+16

             5y=40

            y= 8

Step: 6

      Check for solution, substitute x and y values in equation (2).

                9x=7y-20.......................(2)

               (9×4)=(7×8)-20

              36=36

Step:7

      From given, 3x-2y

      where, X=4 and y=8

              3x-2y = (3×4)-(2×8)

                        = 12-16

            3x-2y = -4

Result:

      The value for 3x-2y is -4. The values of (x,y) are (4,8).

   

5 0
3 years ago
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5. Shelly spent $15.73 at the mall. Her sister Kelly spent $7.92. How much more did Shelly spend than Kelly? Answer using number
Allushta [10]

Answer:

$7.81

Step-by-step explanation:

$15.73-$7.92

7 0
3 years ago
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