When solving 325 ÷ 5, you end up with the partial quotients of: 10 + 10 + 10 + 10 + 10 + 10 + 5

There are 38 pockets on an american roulette wheel: 18 red, 18 black, and 2 green. if you were to randomly spin an american roul

Pavel [41]

You have about 5.23% chance to land in a green pocket. You can find this by dividing 2/38 or the questioned amount by the total amount of options.

8 0

3 years ago

The first term of a geometric series is 3, and the sum of the first term and the second term is 15. What is the sum of the first

8_murik_8 [283]

Hello,
$u_{1}=3$
$u_{2}=3*r$

$u_{1}+u_{2}=15=3(1+r)$
==> 1+r=5==>r=4

3+3r+3r²+3r^3+...+3r^6=3(1+r+r²+...+r^6)=3*(r^7-1)/(r-1)=4^7-1=16383

7 0

3 years ago

AB = 44 + 3xBC = 33 + yCD = 64 − xAD = 48 − 2yQuadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruen

Otrada [13]

The lengths (in centimeters) of the opposite side pairs are 59 cm , 38 cm. Option C) is the correct answer.

Step-by-step explanation:

step 1 :

Given that,

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.

step 2 :

The opposite sides are AB and CD respectively.

The another opposite sides are BC and AD respectively.

step 3 :

If both pairs of opposite sides are congruent, then

AB = CD

44+3x = 64-x

3x+x = 64-44

4x = 20

x = 5

step 4 :

BC = AD

33+y = 48-2y

y+2y = 48-33

3y = 15

y = 5

step 5 :

Subsitute x=5 and y=5 in any of the given sides,

CD = 64-x = 64-5 = 59

∴ CD = 59 cm

BC = 33+y = 33+5 = 38

∴ BC = 38 cm

The lengths of the opposite side pairs are 59 cm , 38 cm.

3 0

3 years ago

How do i find the negative exponent

sesenic [268]

Answer:

always 1

Step-by-step explanation:

5 0

3 years ago

The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tic

Marina CMI [18]

Answer:

Total number of adult tickets sold = 10

Total Number of Students tickets sold = 30

Step-by-step explanation:

Let $x$ be the number of student tickets sold.

Let $y$ be the number of adult tickets sold.

As per the question statement, total tickets sold are 40.

$x +y =40 ...... (1)$

Price of each student ticket = $5

Sales from students' tickets = Price of each students ticket $\times$ Number of students tickets sold

Sales from student's tickets = 5 $\times x$

Price of each adult ticket = $9

Sales from adult's tickets = Price of each adult's ticket $\times$ Number of adult tickets sold

Sales from student's tickets = 9 $\times y$

Total sales is done by students and adult tickets is $240 as per the question statement.

$\Rightarrow 5x + 9y = 240 ......(2)$

Solving equations (1) and (2) using elimination method:

Equation $(2) - 5 \times (1)$ :

$5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10$

Total number of adult tickets sold = 10

Putting $y=10$ in equation (1):

$x+10 = 40\\\Rightarrow x = 30$

Total number of students tickets sold = 30

Total number of adult tickets sold = 10

Total Number of Students tickets sold = 30

8 0

3 years ago