What is the 8th term in the sequence?? 1000, 500, 250, 125, ...? a) 62.5 b) 2.125 c)7.8125 d)15.55

Jenny is trimming the edge of pillows with lace. Each pillow requires 15 inches of lace. She has one piece of lace that is 3 fee

Anna71 [15]

Answer:

I think Jenny will be able to do 9 pillows with the lace trim.

4 0

2 years ago

7. The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you’d like.

Black_prince [1.1K]

The different possible mixtures can you make is 1716 .

<u>Step-by-step explanation:</u>

Given that,

The total number of flavors available in the shop = 13 flavors
The number of flavors you need to choose = 6 flavors

Here, we have to use the formula for combination,

nCr = n! / r! × (n-r) !

where,

n is the total number of flavors
r is the number of flavors you need to choose

⇒ 13C6 = 13 ! / 6! × (13-6)!

⇒ 13! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1

⇒ 1716

Therefore, you can 1716 different possible mixtures.

3 0

2 years ago

A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be desc

earnstyle [38]

Answer: D

Explanation:

The equation of a line in the point slope form is expressed as

y - y1 = m(x - x1)

where

m represents slope

x1 and y1 represents coordinates of the point that the line passes.

From the information given, the equation of the path of the old route is

y = 2x/5 - 4

Recall, the equation of a line in the slope intercept form is expressed as

y = mx + c

By comparing both equations,

slope, m = 2/5

If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then

m = 2/5

x1 = Q

y1 = P

The equation of the new route be

y - P = 2/5(x - Q)

5 0

8 months ago

What do we mean by the value of an expression?

Alexxx [7]

We have learned that, in in an algebraic expression, letters can stand for numbers. When we substitute a specific value for each variable, and then perform the operations, it's called evaluating the expression. Let's evaluate the expression 3y + 2y when 5 = y.

7 0

2 years ago

20 POINTS AND A FOLLOW plus BRAINIEST IF RIGHT 1. What is the area of sector GHJ, given that 0=pi/4 radians ? Express your answe

Llana [10]

1. To solve this we are going to use the formula for the area of a sector of a circle: $A= \frac{1}{2} r^2 \alpha$
where
$A$ is the area of the sector
$r$ is the radius of the circle
$\alpha$ is the angle in radians

We know from our problem that the radius of the circle is 5 cm and the angle of the sector is $\frac{ \pi }{4}$ , so $r=$ and $\alpha = \frac{ \pi }{4}$ . Lets replace those values in our formula:
$A= \frac{1}{2} r^2 \alpha$
$A= \frac{1}{2} (5)^2( \frac{ \pi }{4} )$
$A= \frac{25 \pi }{8}$
$A=9.8$

We can conclude that the area of sector GHJ in terms of pi is $\frac{25 \pi }{8}$ $cm^2$ , and as a decimal rounded to the nearest tenth is 9.8 $cm^2$ .

2. To c<span>onstruct the circle that circumscribes triangle DEF, we are going to draw the perpendicular bisectors of triangle DEF, and then we are going to draw the circle with radius at the interception point of the bisectors. Remember that the perpendicular bisector are the lines that passes trough the midpoint of the segment and are perpendicular to the segment.</span>

3 0

3 years ago