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1 year ago

What is the value of s in the equation 4(2s − 1) = 7s + 12?

Mathematics

2 answers:

scZoUnD [109]1 year ago

8 0

The answer would be letter B

Ivanshal [37]1 year ago

6 0

Answer:

The correct answer is B.) 16

Step-by-step explanation:

The equation is given to be : 4(2s − 1) = 7s + 12

We need to find the value of s in the given equation

⇒ 4(2s − 1) = 7s + 12

⇒ 8s - 4 = 7s + 12 (By Distributive law of multiplication over addition)

⇒ 8s - 7s = 12 + 4

⇒ s = 16

Therefore, The correct answer is B.) 16

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Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const

Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration $a_a$ , we have the following equation of motion

$s/4 = a_at_a^2/2$

where s (m) is the total distance, ta = 3 s is the time

$s = 4a_a3^2/2 = 18a_a$

$a_a = s/18$

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration $a_k$ , we have the following equation of motion:

$s/3 = a_kt_k^2/2$

tk = 4 s is the time

$s = 3a_k4^2/2 = 24a_k$

$a_k = s/24$

Since $a_a = s/18$ we can conclude that $a_a > a_k$ , so Alison would win.

The time it takes for Alison to cover the entire track

$s = a_aT_a^2/2$

$T_a^2 = 2s/a_a = 2s/(s/18) = 36$

$T_a = \sqrt{36} = 6 s$

The time it takes for Kevin to cover the entire track

$s = a_kT_k^2/2$

$T_k^2 = 2s/a_k = 2s/(s/24) = 48$

$T_a = \sqrt{48} = 6.93 s$

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0

1 year ago

Troy has a price chart below for various ingredients he needs to order for his sandwich bar. Sandwich Ingredients Item Cost (per

shepuryov [24]

Answer:

$93.75

Step-by-step explanation:

The computation of the total cost of order is shown below:

The Cost of 8 pounds of Pepperoni is

= 8 × $3.15

= 25.2

The Cost of 15 pounds of cheese is

= 15 × $1.85

= $27.75

The Cost of 12 pounds of sausage is

= 12 × $3.40

= $40.8

So, The total cost is

= $25.2 + 27.75 + $40.80

= $93.75

4 0

1 year ago

Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th

nikklg [1K]

I assume you mean -x^3 + 4x + 3
so what you need is 4x + 3 > x^3
the only whole number it could be is 2 because 2x2x2 +3 > 2x2x2

4 0

1 year ago

Read 2 more answers

Consider the midterm and final for a statistics class. Suppose 13% of students earned an A on the midterm. Of those students who

padilas [110]

Answer:

There is a 38.97% probability that this student earned an A on the midterm.

Step-by-step explanation:

The first step is that we have to find the percentage of students who got an A on the final exam.

Suppose 13% students earned an A on the midterm. Of those students who earned an A on the midterm, 47% received an A on the final, and 11% of the students who earned lower than an A on the midterm received an A on the final.

This means that

Of the 13% of students who earned an A on the midterm, 47% received an A on the final. Also, of the 87% who did not earn an A on the midterm, 11% received an A on the final.

So, the percentage of students who got an A on the final exam is

$P_{A} = 0.13(0.47) + 0.87(0.11) = 0.1568$

To find the probability that this student earned an A on the final test also earned on the midterm, we divide the percentage of students who got an A on both tests by the percentage of students who got an A on the final test.

The percentage of students who got an A on both tests is:

$P_{AA} = 0.13(0.47) = 0.0611$