which of the following can be represented by the equation 3x = 24
a . a survey was confucted to determaine the favorite subject of 7th grade students. 1/3 of all survayred or 24 student said math is their favorite subject. how many students survayed.
b. rita bought stickers and divided them among herself and two other friends. each one received 24 stickers. how many stickers did rita buy
c. andrew picks three words from a dictionary every week and lists them in his notebook. so far, he has listed 24 words. how many weeks has andrew been doing this?
d. The cost of a pair of shoes is three times the cost of a shirt. is the cost of the shirt is $24, how much does a pair of shoes cost?
The correct option that can be represented by the equation 3x = 24 is:
d. The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does a pair of shoes cost?
In this case, let x represent the cost of the shirt. Therefore, 3x represents the cost of the pair of shoes. If 3x = 24, then x = 8, which means the cost of the shirt is $8. Therefore, the cost of a pair of shoes is 3 times $8, which is $24.
which of the following equations has a solution of -7
a. 5x + 11 = 24
b. -3x - 8 = -29
c. 4x - 23 = 5
d. -x + 3 = -4
To find which equation has a solution of -7, we simply need to substitute -7 for x in each equation and see if it satisfies the equation.
a. 5x + 11 = 24
Substituting -7 for x, we get: 5(-7) + 11 = -35 + 11 = -24, which is not equal to 24.
b. -3x - 8 = -29
Substituting -7 for x, we get: -3(-7) - 8 = 21 - 8 = 13, which is not equal to -29.
c. 4x - 23 = 5
Substituting -7 for x, we get: 4(-7) - 23 = -28 - 23 = -51, which is not equal to 5.
d. -x + 3 = -4
Substituting -7 for x, we get: -(-7) + 3 = 7 + 3 = 10, which is not equal to -4.
Therefore, the equation that has a solution of -7 is none of the given options.
which answers x is equal to -7
The equation -3x - 8 = -29 has a solution of x = -7.
Let's solve it:
-3x - 8 = -29
-3x = -29 + 8
-3x = -21
x = (-21)/(-3)
x = 7
Therefore, the equation has a solution of x = 7, not -7. Apologies for the mistake in my previous response. None of the given options have a solution of x = -7.
which of the following equations has a solution different from the rest
a. 3/4x + 5 = -1/4
b. -0.35x - 0.52 = 1.93
c. -1/7x - 3/4 = 1/4
d. 1/2x - 3 = 1/2
To find the equation that has a solution different from the rest, we need to solve each equation and compare the solutions.
a. 3/4x + 5 = -1/4
Subtracting 5 from both sides: 3/4x = -1/4 - 5
Simplifying: 3/4x = -21/4
Multiplying by 4/3 to both sides: x = -21/4 * 4/3
Simplifying: x = -7/3
b. -0.35x - 0.52 = 1.93
Adding 0.52 to both sides: -0.35x = 1.93 + 0.52
Simplifying: -0.35x = 2.45
Dividing by -0.35 to both sides: x = 2.45 / -0.35
Simplifying: x = -7
c. -1/7x - 3/4 = 1/4
Adding 3/4 to both sides: -1/7x = 1/4 + 3/4
Simplifying: -1/7x = 4/4
Simplifying further: -1/7x = 1
Multiplying by -7 to both sides: x = 1 * -7
Simplifying: x = -7
d. 1/2x - 3 = 1/2
Adding 3 to both sides: 1/2x = 1/2 + 3
Simplifying: 1/2x = 7/2
Multiplying by 2/1 to both sides: x = 7/2 * 2/1
Simplifying: x = 7
Comparing the solutions:
x = -7/3
x = -7
x = -7
x = 7
The equation with a solution different from the rest is the one in option a. 3/4x + 5 = -1/4.
lindsay practices the guitar for 50 mins on Saturday and 30 mins of most weekdays. last week she practiced 140 minutes. how many weekdays did she practice? write an equation in the form px + q = r to represent the problem
Let x represent the number of weekdays Lindsay practiced the guitar.
On Saturday, Lindsay practiced for 50 minutes. On weekdays, she practiced for 30x minutes.
The total time Lindsay practiced last week is 140 minutes.
Therefore, the equation in the form px + q = r is:
30x + 50 = 140.