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3 years ago

Which statements are true? Check all that apply

Mathematics

1 answer:

const2013 [10]3 years ago

7 0

Read the paragraph, then go back and see which of the points match up and which don’t

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Tickets to the concert were $2.50 for adults and $1 for students. $1200 was collected and 750 tickets were sold. Write a system

Archy [21]

Answer: 300 adults and 450 children

Step-by-step explanation:

Let the number of adults be x and the number of students be y , then

x + y = 750 ........................... equation 1

the cost of a ticket for adult is $2.50 , that means for x adults , the cost is $2.50x . Also , the cost of ticket for student is $1 , this means that the cost of ticket for y students is $y , writing this in equation form , we have

2.5x + y = 1200 ............................ equation 2

Therefore : the system of linear equations that can be used to find how many adults and how many students attended the concert is

x + y = 750

2.5x + y = 1200

solving the system of linear equation by substitution method , from equation 1 make x the subject of the formula , that is

x = 750 - y ....................... equation 3

substitute x = 750 - y into equation 2 , that is

2.5 ( 750 - y ) + y = 1200

1875 - 2.5y + y = 1200

1875 - 1.5y = 1200

1.5y = 1875 - 1200

1.5y = 675

y = 675/1.5

y = 450

substitute y = 450 into equation 3 , we have

x = 750 - y

x = 750 - 450

x = 300

Therefore , 300 adults and 450 children entered

Step-by-step explanation:

6 0

2 years ago

Gerry is knitting a scarf for a friend. She knits a gauge swatch which measures 4 in. by 4 in. If the square is 30 stitches wide

LiRa [457]

Answer:

Gerry will need to knit 135 stitches wide and 351 rows long for make a scarf that is 18 inches wide and 36 inches long.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Measures of the gauge swatch = 4 inches * 4 inches

Number of stitches wide of the gauge swatch = 30

Number of rows long of the gauge swatch = 39

2. How many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?

Using Rule of Three Simple we can found that value, this way;

Number of stitches wide for 18 inches wide = (18 * 30)/4

Number of stitches wide for 18 inches wide = 540/4 = 135

Gerry will need to knit 135 stitches wide for make a scarf that is 18 inches wide.

We can found the same way, the rows long:

Number of rows long for 36 inches long = (36 * 39)/4

Number of rows long for 36 inches long = 1,404/4 = 351

Gerry will need to knit 351 rows long for make a scarf that is 36 inches long.

8 0

2 years ago

What is the slope of the line that passes through these two points? (-2, 4) (3, 4)

Rama09 [41]

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (3, 4 )

m = $\frac{4-4}{3-(-2)}$ = $\frac{0}{3+2}$ = $\frac{0}{5}$ = 0

7 0

1 year ago

Read 2 more answers

Instructions

VladimirAG [237]

Where is the picture?

5 0

2 years ago

Assume that the pond contains 90 fish: 64 purple, 25 green, and 1 red. A contestant pays $0.55 to randomly catch one fish and re

Licemer1 [7]

Answer:

The carnival is losing (on average) $0.15 on each play

Step-by-step explanation:

To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.

Expected is the sum of the payouts of each bet multiplied by its likelihood:

$EV= \frac{64*0.40+25*1.15+1*9.00}{90}\\EV= 0.70$

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

$0.55-0.7 = -0.15$

The carnival is losing (on average) $0.15 on each play

6 0

2 years ago