All categories

3 years ago

Jamie bought two puzzles for $5.00 and three puzzles for $7.50. Write and solve an equation to find the cost of 15 puzzles

Mathematics

1 answer:

gladu [14]3 years ago

3 0

2x=$5.00
x=$2.50
3x=$7.50
x=$2.50
15x=
15(2.50)=$37.50
hope this helps!

You might be interested in

(2/7×8/4)+2/3÷(2/6×3/6+1/6)

Julli [10]

Answer:

Answer attached

Step-by-step explanation:

3 0

3 years ago

Pls show full working out

sweet-ann [11.9K]

Answer:

Question 1a. i) $x=1.8m$

Question 1a. ii) $Volume=27.6m^3$

Question 1b) $Volume=65.9m^3$

Explanation:

Question 1 a. i) Find the value of x.

$tan(\theta )=\dfrac{opposite\text{ }leg}{adjacent\text{ }leg}$

For the smalll triangle you can write:

$tan(\theta )=\dfrac{x}{1m}$

For tthe big triangle:

$tan(\theta )=\dfrac{x+2.7m}{2.5m}$

Substitute:

$\dfrac{x}{1m}=\dfrac{x+2.7m}{2.5m}$

Solve for x:

$2.5x=x+2.7m\\\\2.5x-x=2.7m\\\\1.5x=2.7m\\\\x=2.7m/1.5\\\\x=1.8m$

Question 1a ii) Find the volume of the frustrum

Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m

Formula:

$Volume=(1/3)\pi \times radius^2\times height$

Substitute:

$Volume=(1/3)\pi \times (2.5m)^2\times 4.5m=9.375\pi m^3$

Find the volume of a cone with heigth = 1.8m and radius = 1m

$Volume=(1/3)\pi \times (1m)^2\times 1.8m=0.6\pi m^3$

Subtract the volume of the small cone from the volume of the big cone

$Volume\text{ }of\text{ }frustrum=9.375\pi m^3-0.6\pi m^3=8.775\pi m^3\approx 27.6m^3$

Question 1b. Calculate the volume of the bin

i) Upper frustrum

This is the same frustrum from the equation of above, thus ist volume is 27.6m³.

ii) Lower frustrum

$\dfrac{x}{2.0m}=\dfrac{x+2.4m}{2.5m}$

$2.5x=2(x+2.4m)\\\\2.5x=2x+4.8m\\\\0.5x=4.8m\\\\x=9.6m$

$Volume=(1/3)\pi \times (2.5m)^2\times (9.6m+2.4m)-(2.0m)^2\times (9.6m)$

$Volume=38.3m^3$

iii) Add the volume of the two frustrums

$Volume=27.6m^3+38.3m^3=65.9m^3$

6 0

3 years ago

PLEASE I NEED COORDINATES!!! What is the solution of the system? Use the elimination method. 2x+y=206x−5y=12 Enter your answer i

Butoxors [25]

the answer of 2x +y = 20 ; 6x -5y =12

{ explained in image}

8 0

2 years ago

Which conversion is correct?

jonny [76]

.75 75% 3/4 is the correct answer

6 0

2 years ago

WILL GIVE BRANLIEST ANSWER ASAP

ioda

Answer:

Identity property

Step-by-step explanation:

7 0

3 years ago