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nexus9112 [7]
3 years ago
15

78.2 divided by 0.2 =

Mathematics
1 answer:
irakobra [83]3 years ago
4 0
78.2÷0.2 = 390
390 is the answer.
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During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by
Alja [10]

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

s = 10|x - 4| + 50

Required

Solve for x when s = 80

Substitute 80 for x

80 = 10|x - 4| + 50

Subtract 50 from both sides

80 - 50= 10|x - 4| + 50 - 50

30= 10|x - 4|

Divide through by 10

\frac{30}{10}= \frac{10|x - 4| }{10}

3= |x - 4|

Reorder

|x - 4| = 3

This can be split into

x - 4 = 3 or x - 4 = -3

Solve for x

x = 4 + 3 or x = 4 - 3

x = 7 or x = 1

Hence:

<em>The numbers of measure of music played are 1 and 7</em>

4 0
3 years ago
How to Evaluate 5/9 x 8.<br> Please answer asap (as soon as possible)
noname [10]

Answer:

5

Step-by-step explanation:

cancel the common factor of 8

4 0
3 years ago
Read 2 more answers
What is 32% of 60? (Show work)
quester [9]

= 60 \times  \frac{32}{100 }  \\  = 6 \times  \frac{32}{10}  \\  =  \frac{96}{5}  \\  = 19.2

3 0
3 years ago
PLEASEEEEEE HELPPPPPPPPP!!!!!!!!!!!!!!!!! ON ASSESSMENTTTT PRACTICEEEE ITS VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the co
adelina 88 [10]

In order to determine the vertex of the given functions, consider that the general form of a quadrati function is:

y = ax² + bx + c

The value of x for the vertex is given by:

x = -b/2a

The value for y, based on the previous values of x, is the y value of the vertex. Use the previous expression to find the vertices:

1. y = x² + 8x - 6

x = -8/2(1) = -4

y(-4) = (-4)² + 8(-4) - 6 = 16 - 32 - 6 = -22

Hence, the vertex is (-4,-22)

2. y = -4x² - 24x - 5

x = -(-24)/2(-4) = -6

y(-6) = -4(-6)² - 24(-6) - 6 = -144 + 144 - 6 = -6

Hence, the vertex is (-6,-6)

3. y = 2x² - 3x + 7

x = -(-3)/2(2) = 3/4 = 0.75

y(3/4) = 2(3/4)² - 3(3/4) + 7 = 18/16 - 9/4 + 7 =5.875

Hence, the vertex is (0.75 , 5.875)

4. y = -x² + 5x - 6

x = -5/2(-1) = 5/2 = 2.5

y(5/2) = -(5/2)² + 5(5/2) - 6 = 0.25

Hence, the vertex is (2.5 , 0.25)

5. y = 1/2 x² + 6x - 5

x = - 6/(2(1/2)) = -6

y(-6) = 1/2 (-6)² + 6(-6) - 5 = -23

Hence, the vertex is (-6 , -23)

6. y = 4x² + 7

x = -0/2(4) = 0

y(0) = 4(0) + 7 = 7

Hence, the vertex is (0 , 7)

8 0
1 year ago
Which expression is equivalent to ?
mamaluj [8]

Answer:

Step-by-step explanation:

\frac{(a^{2}b^{4}c)^{2}*(6a^{3}b)*(2c^{5})^{3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{2*2}b^{4*2}c^{2}6a^{3}b2^{3}c^{5*3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{4}b^{8}c^{2}6a^{3}b8c^{15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*8*a^{4+3}b^{8+1}c^{2+15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*2*a^{7}b^{9}c^{17}}{a^{6}b^{12}c{^3}}\\\\=\frac{12a^{7-6}c{17-3}}{b^{12-9}}\\\\=\frac{12a^{1}c^{14}}{b^{3}}\\\\=\frac{12ac^{14}}{b^{3}}

Hint:

x^{m}*x^{n}=x^{m+n}\\\frac{x^{m}}{x^{n}}=x^{m-n},m>n\\\frac{x^{m}}{x^{n}}=\frac{1}{x^{n-m}},n>m

5 0
3 years ago
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