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Flauer [41]
3 years ago
5

What is a direct variation and how do you do it?

Mathematics
2 answers:
aleksley [76]3 years ago
7 0
Direct Variation-<span>A relationship between two variables in which one is a constant multiple of the other. like when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).</span>
RUDIKE [14]3 years ago
5 0
Direct Variation. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).
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Camison's minnan gets 14 miles per gallon for city driving and 19 miles per gan
loris [4]

Answer:

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

Correct statement and question:

camison's minnan gets 14 miles per gallon for city driving and 19 miles per gallon for highway driving. At the beginning of the week, the 24-gallon tank was full. The family traveled 421 miles before running out of gas. How many gallons were used for city driving and  how many were used for highway driving?

Source:

Previous question found at brainly

Step-by-step explanation:

x = Gallons for city driving

24 - x = Gallons for highway driving

Miles drove before running out of gas = 421

Now let's solve for x, writing the following equation:

14x + 19 (24 - x) = 421

14x + 456 - 19x = 421

-5x = 421 - 456

-5x = - 35

x = -35/-5

x = 7 ⇒ 24 -x = 17

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

3 0
3 years ago
Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t
Greeley [361]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 3x - 2 is in this form with slope m = 3

• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 3, - 14), hence

y + 14 = 3(x + 3) ← in point- slope form

Distribute and simplify

y + 14 = 3x + 9 ( subtract 14 from both sides )

y = 3x - 5 ← in slope- intercept form


6 0
3 years ago
a total of $21,000 is invested in two bonds that pay 4% and 7.5% simple interest. The bond with 7.5 % interest rate earned 6 tim
hjlf
21000=a+b
ax.075xt=6xbx.04xt
t cancels out
a=3.2b
21000= 3.2b+b
21000=4.2b
b=5000
a=16000

account with 7.5% had 16000 invested in it.
account with 4% had 5000 invested in it
4 0
3 years ago
Elliot had 638 fewer marbles than Ravi had. Ravi then gave 352 marbles to Elliot. Who had more marbles in the end. How many more
irga5000 [103]
Elliot because it said that he had 638 fewer than him the Ravi gave him 352 so that would make Elliot have more
5 0
3 years ago
[30 POINTS] An automobile steering wheel is shown. The ideal mechanical advantage of this wheel and axle = _____ .
arsen [322]

The mechanical advantage is found by dividing Rw by Ra:


Mechanical advantage = 18 / 2 = 9

6 0
3 years ago
Read 2 more answers
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