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3 years ago

Solve the equation 3.5z-2.7z=-6

Mathematics

2 answers:

zysi [14]3 years ago

5 0

First you do 3.5z-2.7z= .8z then you divide .8 with -6, which gives you -7.5 so z= -7.5

svlad2 [7]3 years ago

3 0

Answer: The value of z is -0.75.

Step-by-step explanation:

The given equation is $3.5z-2.7z=-6$

In term to solve it to find z , we first simplify the left side.

By using distributive property : $ba+ca=(b+c)a$ , we get

$(3.5-2.7)z=-6\\\\\Rightarrow 0.8z=-6$

Now , Divide both sides by 0.8 , we will get

$z=\dfrac{-6}{0.8}=\dfrac{-60}{8}\\\\\Rightarrow\ z=-7.5$

Hence, the value of z is -0.75.

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Drag the correct steps into order to solve the equation -7x + 14 = 56 for x.

Lina20 [59]

Answer:

-7x + 14 = 56

Subtract 14 both sides

-7x + 14 - 14 = 56 - 14

-7x = 42

Divide both sides by -7

(-7x)/(-7) = 42/(-7)

x = -6

3 0

3 years ago

Read 2 more answers

Two numbers are in the ratio 7:9. The smaller number is 42. what is the number?

ddd [48]

Answer:

7/9 = 42/n.

7n = 378,

n = 54.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Ms. Peters drove from her home to the park

worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

it takes 20 minutes to travel

Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

From home to park, distance = $speed \cdot time =30 \cdot \frac{1}{3} =10 miles$

So , distance between home and park is 10 miles

Now we calculate the time taken to return from park to home

$time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\$

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

$\frac{1}{4} \cdot 60=15$

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0

3 years ago

PLEASE HELP FASTTT!!!

nirvana33 [79]

Answer:

5 seconds

Step-by-step explanation:

Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.

h(1.5) = -16(1.5)^2 + 48(1.5) + 160

h(1.5) = -16(2.25)+ 48(1.5) + 160

h(1.5) = -36 + 48(1.5) + 160

h(1.5) = -36 + 72 + 160

h(1.5) = 36 + 160

h(1.5) = 196

Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total

h(5) = -16(5)^2 + 48(5) + 160

h(5) = -16(25) + 48(5) + 160

h(5) = -400 + 48(5) + 160

h(5) = -400 + 240 + 160

h(5) = -400 + 400

h(5) = 0

8 0

3 years ago

Holly wants to make a frame for a painting. The painting is square and has an area of 225 square inches. a. Write an equation to

nalin [4]

Answer:

a) area = side²

225 in² = side²

side = √225 = 15 inches

b) 15 inches per side x 4 sides x $1.35 per inch = $81.00

Step-by-step explanation:

4 0

3 years ago