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3 years ago

Solve 3/4z-1/3=2/3z+1/5

1 answer:

3 0

3/4z - 1/3 = 2/3z + 1/5
3/4z - 2/3z = 1/5 + 1/3
9/12z - 8/12z = 3/15 + 5/15
1/12z = 8/15
z = 8/15 * 12
z = 96/15 = 32/5 or 6 2/5

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On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her

-BARSIC- [3]

Answer:

14 mph ( average speed during the second part of the trip )

Step-by-step explanation:

Let´s call "x" the average speed during the first part then

t = 5 hours

t = t₁ + t₂ t₁ and t₂ times during part 1 and 2 respectively

l = t*v ( distance is speed by time ) t = l/v

First part

t₁ = 16/x and t₂ = 42 / ( x + 6)

Then

t = 5 = 16/x + 42 /(x + 6)

5 = [ 16 * ( x + 6 ) + 42 * x ] / x* ( x + 6 )

5 *x * ( x + 6 ) = 16*x + 96 + 42 x

5*x² + 30*x - 58*x - 96 = 0

5*x² - 28*x - 96 = 0

We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense

x₁,₂ = [28 ± √ (28)² + 1920 ] / 10

x₁,₂ = ( 28 ± √2704 )/ 10

x₁ = 28 - 52 /10 we dismiss that root

x₂ = 80/10

x₂ = 8 mph average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph

6 0

3 years ago

For options A– E choose all of the expressions that are equivalent to 3(4x + 3).

Katen [24]

3(4x+3) = 12x + 9
A= 3(4x+1)
B= 9 + 12x
C= 7x + 6
D= 12x + 9
E= 12x + 9

Answer: D, E

Hope This Helps✨

3 0

3 years ago

8. To make a greeting card, Bryce used sheet

laiz [17]

Answer:

3 sheets

Step-by-step explanation:

he used one of each,red,green and white

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3 years ago

Use the calculator to find the product. (9. 1 × 109)(7. 5 × 102) What is the exponent of the power in scientific notation?.

____ [38]

The exponent of the power is 11 in scientific notation.

<h3>Given </h3>

The numbers are;

The product of (9. 1 × 10^9)(7. 5 × 10^2)

<h3>What is scientific notation?</h3>

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

To find the product of the given numbers follows all the steps given below.

The product of number is;

$=(9.1 \times 10^9) \times (7.5 \times 10^2)\\\\= (9.1 \times 7.5) \times (10^{(9+2)})\\\\ =68.25 \times 10^{11}$

Hence, the exponent of the power is 11 in scientific notation.

To know more about Scientific notation click the link given below.

brainly.com/question/4964086

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2 years ago

What is the perimeter of parallelogram WXYZ

Kruka [31]

Graph? Or diagram? .................

8 0

3 years ago