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3 years ago

Help please!!

Mathematics

2 answers:

vitfil [10]3 years ago

6 0

Answer:

{ } or empty set

Step-by-step explanation:

zlopas [31]3 years ago

3 0

Answer:

Step-by-step explanation:

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An athlete knows that when she jogs along her neighborhood greenway, she can complete the route in 10 minutes. It takes 20 minu

IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be $x+5$ miles per hour.

$\text{Distance}=\text{Rate}\cdot \text{Time}$

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get $D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}$

$D_{\text{walking}}=\frac{x}{3}$

While jogging, we will get $D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}$

$D_{\text{jogging}}= \frac{(x+5)}{6}$

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

$\frac{x}{3}=\frac{x+5}{6}$

Cross multiply:

$6x=3x+15$

$6x-3x=15$

$3x=15$

$\frac{3x}{3}=\frac{15}{3}\\\\x=5$

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: $x+5\Rightarrow 5+5=10$

Therefore, athlete's jogging speed is 10 miles per hour.

3 0

3 years ago

Which function is most likely graphed on the coordinate plane below?

Ber [7]

Answer:

2nd one

Step-by-step explanation:

6 0

3 years ago

The first 4 terms of a geometric sequence are 2, 6, 18, 54. Part A: Find the common ratio. Remember the common ratio is the numb

ra1l [238]

Answer:

Common ratio is 3

The three terms are 162, 486, 1458

Step-by-step explanation:

Given: The first 4 terms of a sequence are $2,6,18,54$

To find:

A. the common ratio

B. the next 3 values in the geometric sequence

Solution:

Geometric sequence is a sequence in which each of the terms is obtained by multiplying the previous term by a fixed number.

$\frac{6}{2}=3\\\\\frac{18}{6}=3\\\\\frac{54}{18}=3$

So, the common ratio is $3$

The next three values are as follows:

$54(3)=162\\162(3)=486\\486(3)=1458$

8 0

2 years ago

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have mea

Burka [1]

Answer:

x = 14.

Step-by-step explanation:

The other 2 opposite angle are both equal to 70 degrees.

So 5x = 70

x = 70/5

= 14 degrees.

6 0

3 years ago

Read 2 more answers

What value of “n” makes the equation true?

Doss [256]

Answer:

12 OR 1/12 (Check how you write your equations! Just look below for the one that it actually is lol)

Step-by-step explanation:

6 = (1/2)n

6/(1/2) = n

12 = n

6 = 1/(2n)

6(2n) = 1

12n = 1

n = 1/12

6 0

2 years ago