1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anika [276]
3 years ago
7

Jack ran at 880 ft./min. For the first 10 min. Of the 3 mi. Race before slowing his pace to finish the race with a total time of

20 min. What was his pace (in feet per minute) for the second part of the race?
Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

Jack ran 704 ft/min during the second half of the race.

Step-by-step explanation:

Here the distance traveled was 3 miles, and the total elapsed time was 20 minutes.  Recall that distance = rate * time, or rate = distance / time.

Find the pace (speed, rate) for the second part of the race.

Here, the total distance was 3 miles and the elapsed time 20 minutes.  Jack's average speed was thus 3/20 miles/minute.  Converting this to feet per minute, we get:

3 mi          5280 ft

------------ * ------------- = 792 ft/min    (Jack's average speed)

20 min        1 mi

Recall that the formula for finding the average of x and y is (x + y) / 2.

(1/2)(880 ft/min  +  p) = 792 ft/min; find p, which represents Jack's pace for the second part of the race.

If (1/2)(880 ft/min  +  p) = 792 ft/min, and we mult. both sides by 2, we get:

880 ft/min + p = 1584 ft/min.

To solve this for p, subtract 880 ft/min from both sides, obtaining:

p = 704 ft/min

Jack ran 704 ft/min during the second half of the race.

You might be interested in
What is the difference between a trapezoid and a rhombus?
Leya [2.2K]
Your answer is C bro
7 0
2 years ago
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0
3 years ago
Equation equivalent to 2(x+3)
grigory [225]

Answer:

2x+6

Step-by-step explanation:

use distributive property

a(b+c)

=

ab+ac

plz brainliest :)

4 0
3 years ago
Select the postulate or theorem that you can use to conclude that the triangles are similar.
insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\implies \frac{QN}{MN} = \frac{NR}{NP}

Also,

\angle QNR\cong \angle MNP  (Reflexive)

Thus, By SAS similarity postulate,

\triangle QNR\sim\triangle MNP

⇒ Option first is correct.

8 0
3 years ago
The coordinates (-5,2) represent which point?
PSYCHO15rus [73]

Answer:

d

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • A water storage tank is in the shape of a hemisphere (half a sphere) If the radius is 15 ft, approximate the volume of the tank
    13·1 answer
  • What is the center? (X-0.5)^2+(y-3.5)^2=16
    15·2 answers
  • Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari
    6·1 answer
  • A 2-column table with 3 rows. Column 1 is labeled Time (minutes) with entries 15, 30, 60. Column 2 is labeled Temperature (degre
    7·1 answer
  • Find the midpoint of ABif A(-3,6) and B(-9,-8).<br> (Only answer if you know it don’t guess)
    7·1 answer
  • A number, one-fourth of that number, and one-third of that number are added. The result is 38. What is the original number?​
    5·1 answer
  • Avi is 4 years older than twice the age of his sister sharda. Avi is 16. how old is sharda a.4yrs b. 6yrs c. 8yrs
    14·2 answers
  • 2. In the data set below, what is the median? 9, 4, 9, 2, 8, 2,1 <br>a. 9 b. 1 с. 2 d. 4​
    11·2 answers
  • Show your work please no links please!:)
    9·1 answer
  • 27,545 milliliters of gas were added to a car's empty gas tank. If the gas tank's capacity is 56 liters 202 milliliters, how muc
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!