TRUE OR FALSE: The solution to the equation 3y

The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the

san4es73 [151]

Answer:

(A) $18

(B) $y=2.50x+18$ 

(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.

Step-by-step explanation:

(A)

The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be: $(\$2.50*15)= \$37.50$

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be: $(\$55.50-\$37.50)= \$18$

(B)

If $x$ represents the number of ride tickets and $y$ represents the total cost, then the cost for $x$ number of ride tickets is $\$2.50x$

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: $y= 2.50x+18$

(C)

In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.

And the constant term is 18, which represents the cost of admission to the fair.

4 0

3 years ago

Please help!! giving brainliest

sammy [17]

Answer:

They are congruent, this is because both shapes are the same size and have the same angles as show with the lines at the edges. I believe it's AAS

Step-by-step explanation:

Hoped this helped!

4 0

3 years ago

Read 2 more answers

What has the same value as 3/4

ch4aika [34]

The decimal form, which is equivalent to 3/4, is .75

Other fraction forms of 3/4, would be also 6/8, 9/12, 12/16, 15/20, 18/24, 21/28

8 0

2 years ago

Read 2 more answers

Part A

masya89 [10]

Answer:

Part A) The area of triangle i is $3\ cm^{2}$

Part B) The total area of triangles i and ii is $6\ cm^{2}$

Part C) The area of rectangle i is $20\ cm^{2}$

Part D) The area of rectangle ii is $32\ cm^{2}$

Part E) The total area of rectangles i and iii is $40\ cm^{2}$

Part F) The total area of all the rectangles is $72\ cm^{2}$

Part G) To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) The surface area of the prism is $78\ cm^{2}$

Part I) The statement is false

Part J) The statement is true

Step-by-step explanation:

Part A) What is the area of triangle i?

we know that

The area of a triangle is equal to

$A=\frac{1}{2} (b)(h)$

we have

$b=4\ cm$

$h=1.5\ cm$

substitute

$A=\frac{1}{2} (4)(1.5)$

$Ai=3\ cm^{2}$

Part B) Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii?

we know that

If Triangles i and ii are congruent

then

Their areas are equal

so

$Aii=Ai$

The area of triangle ii is equal to

$Aii=3\ cm^{2}$

The total area of triangles i and ii is equal to

$A=Ai+Aii$

substitute the values

$A=3+3=6\ cm^{2}$

Part C) What is the area of rectangle i?

we know that

The area of a rectangle is equal to

$A=(b)(h)$

we have

$b=2.5\ cm$

$h=8\ cm$

substitute

$Ai=(2.5)(8)$

$Ai=20\ cm^{2}$

Part D) What is the area of rectangle ii?

we know that

The area of a rectangle is equal to

$A=(b)(h)$

we have

$b=4\ cm$

$h=8\ cm$

substitute

$Aii=(4)(8)$

$Aii=32\ cm^{2}$

Part E) Rectangles i and iii have the same size and shape. What is the total area of rectangles i and iii?

we know that

Rectangles i and iii are congruent (have the same size and shape)

If rectangles i and iii are congruent

then

Their areas are equal

so

$Aiii=Ai$

The area of rectangle iii is equal to

$Aiii=20\ cm^{2}$

The total area of rectangles i and iii is equal to

$A=Ai+Aiii$

substitute the values

$A=20+20=40\ cm^{2}$

Part F) What is the total area of all the rectangles?

we know that

The total area of all the rectangles is

$At=Ai+Aii+Aiii$

substitute the values

$At=20+32+20=72\ cm^{2}$

Part G) What areas do you need to know to find the surface area of the prism?

To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) What is the surface area of the prism? Show your calculation

we know that

The surface area of the prism is equal to the area of all the faces of the prism

so

The surface area of the prism is two times the area of triangle i plus two times the area of rectangle i plus the area of rectangle ii

$SA=2(3)+2(20)+32=78\ cm^{2}$

Part I) Read this statement: “If you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” Is this statement true or false? Why?

The statement is false

Because, the three rectangles are not congruent

The total area of the rectangles is $72\ cm^{2}$ and if you multiply the area of one rectangle by 3 you will get $20*3=60\ cm^{2}$

$72\ cm^{2}\neq 60\ cm^{2}$

Part J) Read this statement: “If you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” Is this statement true or false? Why?

The statement is true

Because, the triangles are congruent

8 0

3 years ago

A savings account accrues interest at a rate of 3.0% yearly. If someone opens an account with $2,500, how much money would the a

Sauron [17]

$3\%=\frac{3}{100}=0,03\\\\
First\ year:2500+2500*0,03=2500+75=2575\\\\Second\ year:\ 2575+2575*0,03=2575+77,25=2652,25\\\\Third\ year:\ \ 2652,25+2652,25*0,03=2652,25+79,5675=\\\\2731,8175\\\\ Fourth\ year: 2731,8175+2731,8175*0,03=2731,8175+81,954525\\\\=2813,772025\\\\Fifth\ year:\ 2813,772025+2813,772025*0,03=\\\\2813,772025+84,41316075=2898,18518575\$$

5 0

3 years ago

TRUE OR FALSE: The solution to the equation 3y – 4 = 6 - 2y is -10.