All categories

2 years ago

Can someone please help me you have to explain your answer plzzz help ?!?!?!?!?!

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

6 0

Answer:

<h3>Question 1</h3>

Let number of adult tickets - x, student tickets - y

<u>Required equations:</u>

x + y = 8
7.25x + 5.50y = 52.75

<u>Solve by substitution x = 8 - y</u>

7.25(8 - y) + 5.50y = 52.75
58 - 7.25y + 5.50y = 52.75
1.75y = 5.25
y = 5.25/1.75
y = 3

x = 8 - 3 = 5

Answer: 5 adults and 3 students

<h3>Question 2</h3>

Pair of gloves costs- x, hats cost- y

<u>Equations:</u>

2x + 4y = 43
2x + 2y = 30

<u>Solve by elimination, subtract the equations:</u>

2y = 43 - 30
2y = 13
y = 6.5

2x = 30 - 13
2x = 17
x = 8.5

Answer: Gloves cost $8.5, hats cost $6.5

You might be interested in

The gestation period of humans (266 days) is what percent longer than the gestation period of pigs (115 days).

ruslelena [56]

Answer:

56.8%

Step-by-step explanation:

(115/266)* 100 = 43.2%

which means 115 is 43.2% of 266

so,

The gestation period for Humans is 56.8% (100 - 43.2) longer than of pigs

I hope this is correct!

7 0

3 years ago

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

$2A-B=1\\-B=1-2A\\B=2A-1$

Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

Find the B-value using the equation from before:

$B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}$

Therefore the equation Ax + By = 1 would equal:

$\frac{1}{7} x-\frac{5}{7} y=1$

4 0

3 years ago

Brenda bought five hats. A week later half

VashaNatasha [74]

Answer:

Step-by-step explanation:

23 divided by X. X=half of 23. but really, you need to add to it. other than that i can't help ya, all i know is that half of 23 is 11.5

8 0

3 years ago

80% of what how many games is 32 games?

Talja [164]

40 games would be 100% if 32 games is 80%

6 0

3 years ago

The population of the United States was about 280 million in 2000 and about 310 million in 2010. What was the annual rate of cha

JulsSmile [24]

To find the annual rate of chnge, we have to use the following formula

$\frac{P(2010)-P(2000)}{2010-2000}$

P(2010) represents the population in the year 2010 and P(2000) represents the population in the year 2000 .

Substituting the values, we will get

$\frac{310-280}{2010-2000} = \frac{30}{10} = 3 \ million \ per \ year$

8 0

3 years ago