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Vadim26 [7]
3 years ago
7

3 x 52 x a = a x 2 x 78

Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0
True they both equal 156
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How do you know 6/6 and 1 is equivalent
n200080 [17]
Because it’s a fraction you could evaluate or simplify
3 0
3 years ago
Read 2 more answers
Find h(-5) for the function h(x)= -5x+9.<br> h(-5) =
Helga [31]

Answer:

h(-5) = 34

Step-by-step explanation:

h(x) = -5x + 9

h(-5) = -5(-5) + 9 = 25 + 9 = 34

7 0
3 years ago
Choose Yes or No to tell whether the expressions are equivalent. 1. 4(5c + 3) and 9c + 7 yes or no 2. 10f – 10 and 2(8f – 5) yes
Juli2301 [7.4K]

Answer:

1) No

2) No

3)Yes

4)No

Step-by-step explanation:

Distributive property: a(b + c) =a*b + a*c

1) 4(5c + 3) = (4*5c) + 4*3

                  = 20c + 12

NO

2) 2(8f - 5) = (2*8f) - (2*5)

                 = 16f - 10

NO

3) 3(4g + 7) = (3*4g) + (3*7)

                  = 12g + 21

YES

4) 6(4j - 6) =(6 * 4j) - (6*6)

                = 24j - 36

NO

5 0
3 years ago
What is the length of the rectangle?
gregori [183]

Step-by-step explanation:

area \: of \: rectangle \:  = 60 \:  {yards}^{2}  \\  \therefore \: (w + 4) \times \: w = 60\\  \\  \therefore \:  {w}^{2}  + 4w -60 = 0 \\  \\  \therefore \: {w}^{2}  + 10w - 6w -60 = 0 \\  \\   \therefore \: w({w} + 10) - 6(w  + 10)= 0 \\  \\  \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\  \therefore \: {w}   = -  10  \: or \: w =  6  \\  \because \: sides \: of \: rectangle \: cant \: be \: negative \\  \therefore \: w \neq \:    - 10 \\  \\ \therefore \: w = 6 \\  \\ \therefore \: w + 4 = 6 + 4 = 10 \\  \\ length \: of \: rectangle \:  = 10 \: yards.

4 0
3 years ago
The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1
Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = 791.28\ mm^3/hr

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let r represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

\frac{dr}{dt}=7\ mm/hr

Volume of cylinder is given by:

V=\pi\ r^2h

Finding derivative of the Volume with respect to time.

\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}

Plugging in the values given:

\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)

\frac{dV}{dt}=252\pi

Using \pi=3.14

\frac{dV}{dt}=252(3.14)

\frac{dV}{dt}=791.28\ mm^3/hr (Answer)

Thus rate of change of the volume of the cylinder at that instant = 791.28\ mm^3/hr

6 0
3 years ago
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