4x + 8z = 2. Solve for z

Answers

Answer 1
Answer:

Step-by-step explanation:

4x + 8z = 2     Subtract 4x from both sides

8z = 2 - 4x      Now, divide both sides by 8

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


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Two rectangles are similar. One has a length of 14 cm and a width of 9 cm, and the other has a width of 3 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.A. 4.7 cm

B. 1.9 cm

C. 5.4 cm

D. 3.5 cm

Answers

Answer:

A. 4.7 cm

Step-by-step explanation:

where the rectangles are similar, the ratios of the sides must be similar

Given that One has a length of 14 cm and a width of 9 cm, and the other has a width of 3 cm

let the length of the other rectangle be L

14/9 = L/3

L = (14 × 3)/9

  = 14/3

  = 4.66cm

  ≈ 4.7cm

The right option is A. 4.7 cm

Hello,

Let's x the length of the second rectangle:

x/14=3/9==>x=14/3==>x=4.666666......
Answer A

Answer this question to get marked as barinliest!!!!

Answers

Answer:

the third one

Step-by-step explanation:

Answer: C

Step-by-step explanation:

An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many hours does it take to use one gallon?

Answers

3 gallons = 9 hours
3/9 gallons = 1 hour

3 gallons = 9 hours
1 gallon = 9/3 hours

Therefore, It will use 1/3 gallons of water each hour and will use 1 gallon in 3 hours

Answer:

First find out the how many gallons of water does it use each hour .

To prove

As given

An ice machine uses 3 gallons of water every 9 hours.

3 gallons of water = 9 hours

Water\ uses\ by\ ice\ machine\ in\ one\ hours = (3)/(9)

Water uses by ice machine in one hours = 0.33 gallons (Approx)

Now find out  how many hours does it take to use one gallon .

As given

An ice machine uses 3 gallons of water every 9 hours.

3 gallons of water = 9 hours

Hours\ take\ by\ ice\ machine\ to\ use\ one\ gallons\ of\ water = (9)/(3)

Hours take by ice machine to use one gallons of water = 3 hours.



Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.y = 4
x = 5
y = 7
x = 7

Answers

Answer:

y = 7

Step-by-step explanation:

x=4 is a vertical line that goes through the point x=4. y value of this graph changes while x value will be 4 at every point of the graph.

A line perpendicular to this will be a horizontal line with a fixed y value and the x value will change.

The coordinates of the point of which the line has to pass is given as (5,7). Which means the y coordinate of this line is 7.

As we have established that this line has to have same y value at each point just like x=4 has same x value at each point, we can say the equation of the line is y=7.


Solution:

Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).  

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.

Option (C) →y=7

10 is 60% of what number please help​

Answers

Answer:

600

Step-by-step explanation:

set x as the number

x0.10 = 60

x = 60/0.10

x = 600

Answer:

For me i think its 16.67 well im not fully sure

Step-by-step explanation:

SO we have to figure out what gives us 10 and that will be represented as "x"

(60)/(100)  × x = 10

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 10 × (100)/(60)  so, x = 16.67

(that's what i believe but i don't know)

the ages of John and Mary total 27 years. Mary's age plus twice john's age is 40. how old is each person?

Answers

so
Jon's age=j
mary age=m


m+j=27
m+2 times j=40
m+2j=40
M+j=27
ssubtract j from both sides
m=27-j
subsitute 27-j for m
27-j+2j=40
27+j=40
subtract 27 fromboth sdies
j=13

subsitue
13+m=27
subtract 13
m=14

mary=14
john=13
J+M=27
2J+M=40

J=27-M

2(27-M)+M=40
54-2M+M=40
54-M=40
-M=-14
M=14

2J+14=40
2J=26
J=13

John is 13 years old
Mary is 14 years old