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DochEvi [55]
3 years ago
5

Jordan starts his day by doing his exercises. Jordan jumps rope for 10 minutes and lifts weights for 30 minutes. Jordan runs 10

miles in 40 minutes, which is 0.25 miles per minute, that is his unit rate. If Jordan runs for 140 minutes, how many miles will he run?
Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer:

35

Step-by-step explanation:

0.25 x 140 = 35

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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

4 0
2 years ago
Read 2 more answers
Simplify completely -4m(9m+5)​
harina [27]

Answer:4x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How many times does seven go into three hundred ninety four
Nookie1986 [14]

Answer: 56 times.

Step-by-step explanation:

394/7 = 56.3

56 * 7 = 392

392 + 7 = 399

399 is more than 394, therefore the answer is 56.

6 0
3 years ago
Read 2 more answers
Bryan, Angela, Elan, and Fiona folded some paper flowers for their school fund-raising project. Elan folded one-fifth of the pap
Tamiku [17]

Answer:

a) 88

b) 162 $

Step-by-step explanation:

Given Bryan sold 9 more flowers than Elan

1/4 x - 1/5 x = 9

x/20 = 9

x = 180

Flowers with Bryan = 45

Flowers with Elan = 36

45+36 = 81

Remaining flowers = 99

Flowers with Fiona = 8/9 * 99 = 88

7 0
3 years ago
An ice cream shoppe charges $1.19 for a scoop of ice cream and $0.49 for each topping. Jeb paid $4.55 for a three scoop sundae.
AysviL [449]
He bought 3 scoops, each costing $1.19
The cost of the three scoops= 3*1.19= $3.57

Total cost of scoops and toppings is $4.55
Cost of toppings only= 4.55-3.57= $0.98
Each topping costs $0.49

Therefore number of toppings bought= 0.98/0.49= 2

Answer: 2 toppings

3 0
3 years ago
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