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m_a_m_a [10]
3 years ago
6

A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18. If s represents the cost o

f 1 shirt, which equation could you use to find the cost of 1 shirt?
Mathematics
2 answers:
pshichka [43]3 years ago
8 0

For this case we propose a system of equations:

p: Variable representing the cost of a pair of pants

s: Variable representing the cost of a shirt

A pair of pants costs twice as much as a shirt, means:

p = 2s

The total cost of 1 pair of pants and 1 shirt is $ 18:

p + s = 18

We substitute the first equation in the second:

2s + s = 18\\3s = 18\\s = \frac {18} {3}\\s = 6

Answer:

The following equation can be used:

2s + s = 18

Vadim26 [7]3 years ago
4 0

The total cost of 1 pair of pants and 1 shirt is $18 . If s represents the cost of 1 shirt, which equation could you use to find .

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What is the cost of 3.5kg of pork at $7.99/kg?
Veronika [31]

It is given in the question that cost of pork is $7.99/kg.

It means cost of 1 kg pork is $7.99.

Cost of 2 kg of pork is

=2*7.99 = $15.98

And cost of 3 kg of pork is

= $7.99*3 = $23.97

Therefore cost of 3.5 kg of pork is

= 3.5*7.99 = $27.965

3 0
3 years ago
1. Which of the following is the standard form of y = (x – 3)(x – 7)?
Andrej [43]

9514 1404 393

Answer:

  b.  y = (x - 5)² - 4

Step-by-step explanation:

Here, we take "standard form" to mean "vertex form."

In the US, "standard form" would be ...

  y = x² -10x +21

Vertex form is ...

  y = (x -5)² -4 . . . . matches B

4 0
3 years ago
Which set represents the same relation as the table below?
erik [133]

Answer:

A) { (0, 5), (4, 2), (6, 9), (9, 10)}

Step-by-step explanation:

From the table values, we can write the relation in coordinate form (x, f(x)).

The first value is x and the second value is f(x) in the coordinate.

Let's write the coordinates from the given table.

(0, 5), (4, 2), (6, 9), (9, 10)

Let's write the above coordinates in set form.

{ (0, 5), (4, 2), (6, 9), (9, 10)}

The set A is same relation as the given table.

Answer: A) { (0, 5), (4, 2), (6, 9), (9, 10)}

Hope you will understand the concept.

Thank you.

5 0
3 years ago
Read 2 more answers
The area between z = 1.74 and z = 1.25<br> Round your answer to three decimal places.
balu736 [363]

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

5 0
3 years ago
A sled is being pulled with a force of 120 N at an angle of 35o with the horizontal. How far is the sled pulled if 1100 J of wor
natta225 [31]

Answer:11.2 m

Step-by-step explanation:

Given

Force Applied F=120 N

inclination \theta =35^{\circ}

Force has two components here i.e. F\cos \theta and F\sin \theta

F\cos \theta will will do work

Work done is given by force time displacement

W=120\cdot \cos 35\times s

1100=120\times \cos 35\times s

s=11.19\approx 11.2 m

7 0
3 years ago
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