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4 years ago

Determine whether the given value is a solution of the equation x over nine=4; x=36

2 answers:

Citrus2011 [14]4 years ago

8 0

Yes ; "x = 36" , is, in fact, a solution.
________________________________________________________
Given the equation: "x / 9 = 4" ;
________________________________________________________
"x = 36" is a solution ; since "36 ÷ 9 = 4" ; and since x = (4)*(9) = 36.
_________________________________________________________

san4es73 [151]4 years ago

7 0

36 / 9 = 4 correct
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Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the num

shepuryov [24]

Question:

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right. Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

A) Brian and Damien both answered 2 fewer questions correctly than Chris did.

B) Brian and Damien both answered 4 more questions correctly than Chris did.

C) Brian and Damien both answered 2 more questions correctly than Chris did.

D) Brian and Damien both answered 4 fewer questions correctly than Chris did.

Answer:

Option C

Brian and Damien both answered 2 more questions correctly than Chris did

Solution:

Let "x" be the number of correct answers of Brian

Let "y" be the number of correct answers of Chris

Let "z" be the number of correct answers of Damien

The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right

$x = 14 + \frac{1}{4}y\\$ ---------- eqn 1

Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly

$z = \frac{5}{4}y - 2$ ---------- eqn 2

Brian and Damien have the same score

x = z -------- eqn 3

Therefore,

$14 + \frac{1}{4}y = \frac{5}{4}y - 2\\\\\frac{5}{4}y - \frac{1}{4}y = 14+2\\\\y = 16$

Substitute y = 16 in eqn 1

$x = 14 + \frac{16}{4}\\\\x = 14 + 4\\\\x = 18$

Therefore, by eqn 3,

z = 18

Thus we get,

Number of correct answers of Brian = 18

Number of correct answers of chris = 16

Number of correct answers of Damien = 18

Therefore, correct statement is:

Brian and Damien both answered 2 more questions correctly than Chris did

5 0

3 years ago

Noah has a points card for a movie theater.

rjkz [21]

Answer:

40 + 4.5v ≥ 145

Step-by-step explanation:

4 0

3 years ago

Please help with 6 and 7

Maru [420]

Answer:

6a) i- 2hrs 36mins ii- 3hrs 12mins

b) car A≈ 76.9km/h car B≈ 62.5km/h

c)------

7a) 35km

b) car A=75km car B=60km

c) 30km

d) car A≈36mins car B≈48mins

Step-by-step explanation:

6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.

b) Using the answer from a, you divide 200km by the time.

For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6

∴ car A: 200/2.6≈ 76.92km/h

For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2

∴ car B: 200/3.2≈ 62.5km/h

7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.

b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).

c) Difference from car A line to car B:

155km-125km=30km

d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.

Hope this helps.

5 0

4 years ago

Find the equation of the line that passes through the points (–2, 4) and (1, 2).

Stolb23 [73]

Answer:

The answer to your question is c) y = (-2/3)x + 8/3

Step-by-step explanation:

Data

A (-2, 4)

B (1, 2)

Process

1.- Calculate the slope of the line

-Formula

m = (y2 - y1)/(x2 - x1)

x1 = -2 y1 = 4 x2 = 1 y2 = 2

-Substitution

m = (2 - 4) / (1 + 2)

-Simplification

m = -2/3

2.- Find the equation of the line

Formula

y - y1 = m(x - x1)

-Substitution

y - 4 = -2/3 (x + 2)

-Simplify

y - 4 = (-2/3)x - 4/3

y = (-2/3)x - 4/3 + 4

y = (-2/3)x - 4/3 + 12/3

-Result

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

3 0

4 years ago

What is an example of a commutative property

pochemuha

Answer:

B. -13 + 27 = 27 + (-13)

Step-by-step explanation:

HOPE IT HELPS YA

6 0

3 years ago

Read 2 more answers