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valkas [14]
2 years ago
11

Zachary travels on a journey of 50 miles. He spends half of

Mathematics
2 answers:
Mars2501 [29]2 years ago
7 0
I divided 50 miles by 2 = 25 miles (walked) 25 miles (horseback)
I divided 25 by 3 = 8.33
I divided 25 by 9 = 3
Added together = 8.33 + 3 = 11.33
So time to complete the journey 11.33 hour
swat322 years ago
3 0

50/2 = 25

Therefore he spent 25 miles on his horse and 25 miles walking

He covers 9 miles every hour on his horse

25/9 = 2 \frac{7}{9} hours

He covers 3 miles every hour walking

25/3 = 8 \frac{1}{3} hours

Total time taken to complete his journey = 2 \frac{7}{9} + 8 \frac{1}{3} = 11 \frac{1}{9} hours

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What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
r-ruslan [8.4K]

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

CD=\sqrt{(0-(-5))^2+(3-(-1))^2}

CD=\sqrt{(0+5)^2+(3+1)^2}

CD=\sqrt{(5)^2+(4)^2}

CD=\sqrt{25+16}

On further simplification, we get

CD=\sqrt{41}

CD=6.40312424

CD\approx 6.40

Therefore, the distance between C and D is 6.40 units.

6 0
3 years ago
Joe needs to buy snacks for the chess club. There are 12 people in the club and he wants each person to receive 0.5 pounds (lbs)
Marat540 [252]

Answer: 6 pounds of grapes

Step-by-step explanation:

There are 12 people that Joe is meant to buy for.

Each of them will receive 0.5 pounds of grapes.

All  of them will therefore need:

= pounds of grapes per person * number of people

=  0.5 * 12

= 6 pounds of grapes

5 0
3 years ago
Write an equation of a line in slope-intercept form with the given slope and y- intercept
Aleks04 [339]

Answer:

y=1/4x+3

Step-by-step explanation:

Slope intercept form is written as (y=mx+b)

<u>To define those variables:</u>

- m is the slope

- b is the y-intercept

We have been given both the slope, and the y intercept, therefore just plug in the numbers into the form:

y=1/4x+3

8 0
3 years ago
Read 2 more answers
The system of equations below has no solution.
Alex777 [14]

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the linear combination to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

Read more about system of linear equations at

brainly.com/question/14323743

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3 0
2 years ago
Multiply. (3x - 2)(x + 5) A: 3x² + 17x - 7 B: 3x² + 17x - 10 C: 3x² + 13x - 10 D: 3x² + 6x - 7
Bess [88]

Answer:

The answer is C.

Step-by-step explanation:

You have to use Ditributive Law,

a(m + n) = am + an

So for this question :

(3x - 2)(x + 5)

= 3x(x) + 3x(5) - 2(x) - 2(5)

= 3 {x}^{2}  + 15x - 2x - 10

= 3 {x}^{2}   + 13x - 10

6 0
3 years ago
Read 2 more answers
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