1. 12x4=48 stickers. 2. If we let w denote the length of the morning walk, Sierra walks w+2.5w or 3.5w miles each day. At the end of the week she has walked 7 times as far and she said that this was 30 miles. Solving the equation

24.5w=30,

we have w=30/24.5≈1.2 miles. Therefore the distance of Sierra's morning walk is about 1.2 miles

Solution: Using a diagram

We can illustrate the solution to this problem with a tape diagram. If we let one box be the morning walk, then the evening walk is 2.5 boxes. The total distance Sierra walks in one day is represented by 3.5 boxes. Instead of talking about the number of boxes, we can choose a variable to represent the value or length of each box, say w.

Since Sierra walks every day of the week, the total distance walked is 7 times as long. Therefore, we have the total distance walked during the week is 7(3.5w)=24.5w. We know that Sierra walks a total distance of 30 miles, so we have 24.5w=30 miles. We can use another diagram to illustrate the total distance with 24.5 boxes.

Dividing both sides of the equation 24.5w=30 by 24.5 allows us to find w, and we have

w=30/24.5≈1.2.

Therefore, Sierra's morning walk is about 1.2 miles.

4 0

3 years ago

Find the perimeter of the polygon. Round your answer to the nearest tenth.

lakkis [162]

Answer:

Option B.

Step-by-step explanation:

From the given figure it clear that the the vertices of the polynomial are Q(2,0), R(4,5), S(8,7), T(6,4) and U(10,3).

Distance formula:

$d=\sqrt{(x-2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$QR=\sqrt{\left(4-2\right)^2+\left(5-0\right)^2}=\sqrt{29}$

$RS=\sqrt{\left(8-4\right)^2+\left(7-5\right)^2}=2\sqrt{5}$

$ST=\sqrt{\left(6-8\right)^2+\left(4-7\right)^2}=\sqrt{13}$

$TU=\sqrt{\left(10-6\right)^2+\left(3-4\right)^2}=\sqrt{17}$

$QU=\sqrt{\left(10-2\right)^2+\left(3-0\right)^2}=\sqrt{73}$

Now, the perimeter of the polynomial is

$Perimeter=QR+RS+ST+TU+QU$

$Perimeter=\sqrt{29}+2\sqrt{5}+\sqrt{13}+\sqrt{17}+\sqrt{73}$

$Perimeter=26.12996$

$Perimeter\approx 26.1$ units.

Therefore, the correct option is B.

7 0

4 years ago

Please help me ….. it’s urgent !

vfiekz [6]

Answer:

1. 3.2 x 10^4

2. 6 x 10^4

3. 1.04 x 10^5

4. 1.82 x 10^7

5. 9.23 x 10^6

6. 4.05 x 10^5

7. 2.019 x 10^3

8. 3.02 x 10^4

Step-by-step explanation:

Next time don't randomly comment on other people's questions to get points without putting in the effort. Spread credibility, not liability. Do the rest by yourself; there are multiple resources online that you can learn from!

6 0

3 years ago

Read 2 more answers

4x-2y=-1 -4x+4y=-2 please help

Shtirlitz [24]

4x-2y=-1
Slope = 2
x-intercept = -1/4
y-intercept = 1/2

-4x+4y=-2
Slope = 1
x-intercept = 1/2
y-intercept = 1/-2

3 0

3 years ago