Wolfgang's father is 26 years older than Wolfgang. In 10 years, the sum of their ages will be 80. What are their present ages? PLEASE SHOW THE SHOW WORK

Answers

Answer 1

Answer: f = 26+w
f+w=80
Guess and check
I got wolfgang is 27 and his father is 53

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Y =3x -1 has a gradient of 3. Write the equation of a line parallel to itPlease tell me the answer and how to do this

Write n+5n=______ in simplest form.

Answers

just add them together we get 6n.

duh 6n werent you ever been taught algebra?

If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100bikes, how many of them are purple? *

Answers

Add the ratio: 8 + 12 =20

Divide total bike by that: 100/20 = 5

Multiply each part of the ratio by that:

8 x5 = 40

12 x 5 = 60

40 bikes are purple

60 bikes are red

Answer: 40

Step-by-step explanation:

Purple:Red = 8:12

Purple bikes = 8/20 x 100 = 40

How does one solve this question, any help would be appreciated! I feel this has a really easy solution and I've decided to significantly over-complicate it.13. a) Write down the equation of the line with gradient 3 passing through (0, -2)

b) Write down the equation of the line which is parallel to the line y=4-5x passing through (0,-1)

Answers

Hello,

a)
the gradient is the slope:

y+2=3(x-0) or y=3x-2

b) slope is -5 (parallele to y=-5x+4)

y+1=-5(x-0) or y=-5x-1

write the equation of the line that passes through the point (8,-1) and (2,-5) in standard form, givin that the point slope form is y + 1 = 2/3(x-8).

Answers

Answer:

The line equation in standard form is 2x – 3y = 19.

Explanation:

Given:

The point (8,-1) and (2,-5) in standard form

The point slope form is y + 1 = 2/3(x-8).

To find:

Equation of the line

Solution:

Now, we have line equation in point slope form, we have to convert it into standard form i.e. ax + by = c

Then, let us simplify the above equation.

$y + 1 = (2)/(3) (x - 8)$

3(y + 1) = 2(x – 8)

3y + 3 = 2x – 16

2x – 3y = 16 + 3

2x – 3y = 19

Hence, the line equation in standard form is 2x – 3y = 19.

PLEASE HELP DUE IN 5 MIN!!!!!!!!!!!!!!!!!!! A study was designed to determine the relationship between the weight of new cars and their gas mileage. What are the independent and dependent variables for this study? A. The independent variable is the gas mileage, and the dependent variable is the weight of the cars. B. The independent variable is the gas mileage, and the dependent variable is the age of the cars. C. The independent variable is the weight of the cars, and the dependent variable is the age of the cars. D. The independent variable is the weight of the cars, and the dependent variable is the gas mileage.

Answers

If the weight of the car were the dependent variable, then
that would mean that the weight of the car depends on the
gas mileage. In that case, the car would probably have
different weights in the city and on the open highway.
The car would really get heavy when you drive it during
rush hour on a rainy day. But if a trained professional
efficiency driver checked the tire pressure, tuned up the
\ignition system and the fuel mixture, then got in and took it
for a spin out on the highway on a cool sunny day, maintained
a constant speed, avoided sudden starts and stops, let the
car gain speed on the down-hills and let it lose speed on the
up-hills, then the car's weight would drop lower than it's ever
been before.
Does any of this sound reasonable to you ?

Go ahead and take a wild guess.

Then mark ' A ' .

He Quotient of 10 and f increased by 2

Answers

The "quotient" of two numbers means you have to divide them. So, the quotient of 10 and f is 10/f. "Increased by" means plus, so you must add 2 to 10/f. The equation you get is (10/f)+2. (Note: you put this in parentheses so that people know to divide 10 and f first.)

Answer: (10/f)+2

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