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2 years ago

Mark cycles from home to school at a speed of 16 kilometers per hour. He cycles back on the

Mathematics

1 answer:

katrin [286]2 years ago

7 0

Answer:

Write a time equation, time = dist/speed

go time + return time = total time

d%2F16 + d%2F15 = 7.75 hrs

multiply equation by the least common multiple 240, cncel the denominators:

15d + 16d = 240(7.75)

31d = 1860

d = 1860/31

d = 60 km one way

total dist = 120 km

Check this, find the actual time each way

60/16 = 3.75 hrs

60/15 = 4 hrs

-----------------

total time 7.75 hrs

Step-by-step explanation:

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This app doesn’t know how to read a picture

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It’s the 3rd one hopefully this helps

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3 years ago

The figure has ____ lines of symmetry. A. 0 B. 4 C. 6 D. 8

Olenka [21]

A.) Scalene Triangle has no Lines of Symmetry
B.) A Square (4 sides) has 4 Lines of Symmetry
C.) A Regular Hexagon (6 sides) has 6 Lines of Symmetry
D.) A Regular Octagon (8 sides) has 8 Lines of Symmetry

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3 years ago

Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jen

lord [1]

Answer:

y=7x+1

Step-by-step explanation:

Linear modeling

Consists of finding a linear equation that represents a situation in real life.

Jenny starts her stamps collection with only 1 stamp.

Then she collects 7 stamps per day.

Let's call

y=total amount of stamps in Jenny's collection

x=number of days

Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:

y=7x+1

5 0

3 years ago

Read 2 more answers

What is the maximum value of the objective function, P, with the given constraints?

maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

$P=20x+35y$

Constraints,

$x+y \leq 12$

$5x+y \leq 20\\x \geq 0\\y \geq 0$

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

$P=20x+35y$

Point (0,0)

$P=20(0)+35(0)=0$

$P=20x+35y$

Point (0,12)

$P=20(0)+35(12)=420$

Point (2,10)

$P=20(2)+35(10)=40+350=390$

Point (4,0)

$P=20(4)+35(0)=80$

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

8 0

3 years ago

Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments.

blagie [28]

Answer:
Each will have passed 17 tests and it will take 3 weeks.

Explanation: 
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.

The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.

Setting these equal, we have: 
11+2x=2+5x.

Subtract 2x from each side: 
11+2x-2x=2+5x-2x;
11=2+3x.

Subtract 2 from each side: 
11-2=2+3x-2;
9=3x.

Divide both sides by 3:
 $\frac{9}{3} = \frac{3x}{3}$ ;
3=x.

It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.

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3 years ago

Read 2 more answers