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Viktor [21]
2 years ago
8

On a piano achievement test, the final score is made up of 65% performance, 30% sight reading, and 5% written theory. John earne

d an average score of 75 on performance, 90 on sight reading, and 100 on written theory. What was John's final score for the piano achievement test? Enter your answer as a decimal in the box.
Mathematics
1 answer:
kap26 [50]2 years ago
6 0
It's 80.75 for the answer!
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Plz help I'll give brainlest
jarptica [38.1K]
<h3>1.Area of the parallelogram= 288 square units</h3><h3>2.Area of the parallelogram=45 m^2</h3><h3>3.Area of the trapezoid   = 34 square in.</h3><h3>4.Area of the trapezoid = 8 square ft</h3><h3>5.Area of the rhombus= 27 square cm</h3><h3>6.Area of the rhombus= 108 square in</h3><h3>7.The area of the desktop is  = 1200 square in</h3><h3>8.The area of the rhombus is =84 cm^2</h3><h3>9.Area of the trapezoid  = 240 square ft</h3>

Step-by-step explanation:

1.

Base =16 ft and Height = 18 ft

Area of the parallelogram = base × height

                                       =16× 18 square units

                                       = 288 square units

2.

Base = 9 m and height = 5 m

Area of the parallelogram = base × height

                                        =(9×5) m^2

                                         =45 m^2

3 .

Height = 4 in and parallel sides are 12 in and 5 in

Area of the  trapezoid =\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height

                            =\frac{1}{2} \times (12+5) \times 4 square in.

                             = 34 square in.

4.

Height = 2 ft  and parallel sides are 2 ft and 6 ft

Area of the trapezoid =\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height

                              =\frac{1}{2} \times (2+6) \times 2 square ft

                              = 8 square ft

5.

Diagonals are 6 cm and 9 cm.

Area of the rhombus = \frac{1}{2}\times {\textrm{product of diagonals}

                               =\frac{1}{2 } \times 6\times 9 square cm

                               = 27 square cm

6. Diagonals are 12 in and 18 in

Area of the rhombus = \frac{1}{2}\times {\textrm{product of diagonals}

                               =\frac{1}{2 } \times 12\times 18 square in

                               = 108 square in

7. Given a desktop in the shape of a parallelogram has a base 30 in. and a height of 40 in

The area of the desktop is = (30 × 40 ) square in

                                            = 1200 square in

8. Given , a rhombus has one diagonal that is 14 cm and other diagonal 12 cm.

The area of the rhombus = \frac {1}{2} \times 14 \times 12 cm^2

                                         =84 cm^2

9.Given , the base of trapezoid are 24 ft  and 16 ft and height is 12 ft

Area of the trapezoid =\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height

                                    = \frac{1}{2} \times (24+16) \times 12 square ft

                                     = 240 square ft

8 0
3 years ago
Find the vertex of the function<br> h(x) = -x^2 + 14
Mazyrski [523]

The vertex form:

f(x)=a(x-h)^2+k\\\\(h,\ k)-vertex


h(x)=-x^2+14=-(x-0)^2+14\to h=0,\ k=14

<h3>Answer: (0, 14).</h3>
5 0
2 years ago
Let x represent the measurment of an acute angle in degrees. the ratio of the complement of x to the supplement of x is 2: 5. gu
Nadusha1986 [10]
Ratio of complement of x : supplement of x 
2 : 5
⇒ 2 times the supplement of x will be equal to 5 times the complement of x

5(90 - x) = 2 (180 - x)
450 - 5x = 360 - 2x
5x - 2x = 450 - 360
3x = 90
x = 30°

Complement of x = 90 - x = 90 - 30 = 60
Supplement of x = 180 - x = 180 - 30 = 150
Ratio:
60 : 150
60 ÷ 30 : 150 ÷ 30
2 : 5 (checked)
4 0
2 years ago
If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an
Elis [28]

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

\frac{8}{40}*100=20\%

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

5 0
3 years ago
1. Rosie orders dessert at the cafe. The total bill is $50. She tips the waiter 10%.
laila [671]

Answer:

5

Step-by-step explanation:

this means it'll be $55

3 0
2 years ago
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