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spayn [35]
2 years ago
12

The museum of fine arts decides to expand its collection of European, Latin American and African art. After reviewing their curr

ent collection, the museum decides to purchase a total of 78 pieces. The curator wants 18 more pieces of African Art than Latin American Art. She wants 15 fewer pieces of European art than Latin American Art. how many of each
Mathematics
2 answers:
skad [1K]2 years ago
8 0

Answer:

Step-by-step explanation:

Latin American Art: x

African American Art: x+18

European Art: x-15

x+x+18+x-15=78

3x+3=78

3x=75

x=25

Latin American Art: 25

African American Art: 43

European Art: 10

Montano1993 [528]2 years ago
3 0

Answer:

2

Step-by-step explanation:

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Which of the following is the estimated amount of salt that will dissolve at 47 degrees?
Nina [5.8K]

Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).

<h3>What is the solubility curve?</h3>

The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.

If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.

Learn more about solubility curve: brainly.com/question/9537462

8 0
2 years ago
If triangle ABC is similar to triangle DEC, find the values of x and y.
Mumz [18]

The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.

Step-by-step explanation:

The given are,

           From ΔABC,

                    AB= 6

                    BC= 10

                    AC = x

           From ΔDEC,

                    CD= 28

                    DE= 21

                    CE = y

Step:1

        Pythagoras theorem from  ΔABC,

                    BC^{2}=AB^{2} + AC^{2}...............(1)

       Substitute the values,

                   10^{2} = 6^{2} + AC^{2}

                  100 = 36 + AC^{2}

                   AC^{2} = 100 - 36

                           = 64

                    AC = \sqrt{64}

                    AC = 8

                  AC = x = 8

Step:2

        Pythagoras theorem for ΔDEC,

               CE^{2} = CD^{2}  + DE^{2}................(2)

       From the values,

              CE^{2} = 28^{2} + 21^{2}

             CE^{2} = 784 + 441

                     = 1225

              CE = \sqrt{1225}

              CE = 35

             CE = y = 35

Result:

         The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.

5 0
3 years ago
Help!!!!! Please!!!
miss Akunina [59]
The equation for line E is x = 8.
This is because the line intersects the x-axis at the point (8,0)
5 0
3 years ago
ben is filling up his cylinder shaped pool up to 80% of its capacity . If his is 6 feet deep and has a diameter of 18 feet, how
vlada-n [284]

Answer:

You will put 1220.83ft³ of water in the pool

Step-by-step explanation:

radius = half of diameter

d = 18ft

r = 18ft / 2 = 9ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 6ft

π = 3.14

r = radius = 9ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (9ft)²) * 6ft

v = (3.14 * 81ft²) * 6ft

v = 254.34ft² * 6ft

v = 1526.04ft³

The volume of the cylinder is 1526.04ft³

If it is filled to 80% then we have to multiply the volume by 80/100

1526.04ft³  * 80/100 = 1220.83ft³

You will put 1220.83ft³ of water in the pool

5 0
3 years ago
A sample of students is taken from the school’s A honor roll. The school estimates that there are actually 360 students on the A
timurjin [86]

Answer:120.

Step-by-step explanation:this is because there are 3 grades at the school 6th 7th and 8th so you simple need to divide 360 by 3 and that gets you 360.

7 0
3 years ago
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