What is the LCM of 12, 25, and 36?

Kirk used 10.2 centimeters of tape to wrap 3 presents. How many presents did Kirk wrap if he used 23.8 centimeters of tape?

insens350 [35]

Answer:

Kirk wrapped 7 presents with those 23.8 cm of tape.

Step-by-step explanation:

Figure out the unit rate:

10.2 cm tape

-------------------

3 presents

or

3 presents

-----------------------

10.2 cm tape

Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:

(3 presents)(23.8 cm tape

--------------------------------------- = 7 presents

10.2 cm tape

Kirk wrapped 7 presents with those 23.8 cm of tape.

7 0

3 years ago

Show all work!!!!! brainleist will be given!

Gala2k [10]

Answer:

+30

Step-by-step explanation:

1255- 1075 = 180

180 /6 = 30

4 0

3 years ago

Linear system please help 60 points * please please please help will give brainlist

bearhunter [10]

Answer:

1. a. b = - 8

b. x = 8

c. x = 11

d. x = 5

2. 12 soccer balls and 8 basketballs can be purchased.

Step by step explanation

a. $- 14 + 6b + 7 - 2b = 1 + 5b$

Calculate the sum

$- 7 + 6b - 2b = 1 + 5b$

Collect like terms

$7 + 4b = 1 + 5b$

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change its sign

$4b - 5b = 1 + 7$

Collect like terms

$- b = 8$

Change the signs on both sides of the equation

$b = - 8$

-----------------------------------------------------------------

b. $\frac{5x + 10}{ - 6} = - 5$

Apply cross product property

$5x + 10 = - 5 \times ( - 6)$

Multiply the numbers

$5x + 10 = 30$

Move constant to R.H.S and change its sign

$5x = 30 - 10$

Calculate the difference

$5x = 20$

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{20}{5}$

Calculate

$x = 4$

----------------------------------------------------------------

c. $- 15 = \frac{ - 8x - 17}{7}$

Apply cross product property

$- 15 \times 7 = - 8x - 17$

Multiply the numbers

$- 105 = - 8x - 17$

Swap the sides of the equation

$- 8x - 17 = - 105$

Move constant to R.H.S and change its sign

$- 8x = - 105 + 17$

Calculate

$- 8x = - 88$

Change the signs on both sides of the equation

$8x = 88$

Divide both sides of the equation by 8

$\frac{8x}{8} = \frac{88}{8}$

Calculate

$x = 11$

------------------------------------------------------------------

D. $5 = 6x + 5(x - 10)$

Distribute 5 through the parentheses

$5 = 6x + 5x - 50$

Collect like terms

$5 = 11x - 50$

Swap both sides of the equation

$11x - 50 = 5$

Move constant to R.H.S and change its sign

$11x = 5 + 50$

Calculate the sum

$11x = 55$

Divide both sides of the equation by 11

$\frac{11x}{11} = \frac{55}{11}$

Calculate

$x = 5$

------------------------------------------------------------------

2.

Solution,

No.of students in soccer = x

No.of students in basketball = y

Total no.of students = 20

i.e x + y = 20 → equation ( i )

Cost of soccer ball = $ 7

Cost of basketball = $ 10

Total budget = $ 164

i.e 7x + 10 y = 165 → equation ( ii )

In equation ( i ),

x + y = 20

Move 'y' to R.H.S and change its sign

x = 20 - y

Put the value of x in equation ( i )

$7(20 - y) + 10y = 164$

$140 - 7y + 10y = 164$

$3y = 164 - 140$

$3y = 24$

$y = \frac{24}{3}$

$y = 8$

Now, put the value of y in equation ( i ) ,

x + y = 20

$x + 8 = 20$

$x = 20 - 8$

$x = 12$

Hence, 12 soccer balls and 8 basketballs can be purchased.

Hope this helps...

Best regards!!

6 0

3 years ago

Read 2 more answers

497÷3I need help please

Alex Ar [27]

The answer is 165.6 hope this helps

6 0

3 years ago

Read 2 more answers

(X^2)+(y^2)+10x-6y+18=0

Dafna11 [192]

x² + y² – 10x + 6y + 18 = 0 x² – 10x + y² + 6y + 18 = 0 x² – 10x + 25 - 25 + y² + 6y + 9 - 9 + 18 = 0 (x-5)² + (y+3)² -16 = 0 (x-5)² + (y+3)² = 16 (x-5)² + (y+3)² = 4² Center at (5,-3) radius = 4 Part 2 1. Complete the square for x and y 2. Put in the format for a circle. (x-h)² + (y-k)² = r², center at (h,k) with radius = r

4 0

3 years ago