2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s


Related Questions

Which equation should you solve to find x?

Answers

Answer:

B

Step-by-step explanation:

[tex]sin ~26^\circ=\frac{x}{10}[/tex]

Answer:

sin 26 = x/10

Step-by-step explanation:

which triangle could be drawn as is it described

Answers

Answer:

you didnt add the attachment

Triangle PQR is rotated 180 clockwise about point m and the image of point p is p and the image of point r is r what are the coordinates of the image of point Q

Answers

Answer:

Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?

Step-by-step explanation:

You want to buy 4 pencils, each costing 88 cents. How many dollar bills should you take to the store?

Answers

Answer:

4

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

0.88x4 = 3.52

so take 4

Can two fraction with the same numerator and different denominators be equal? Use words and numbers to explain.

Answers

Step-by-step explanation:

Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.

The two fractions with the same numerator and different denominators can not be equal.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.

The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.

The two divisions with similar numerators and various denominators can not be equivalent.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

What is the greatest common factor of 36, 90 and 108?

Answers

Answer:

The one greatest common factor of 36, 90, 108 is 18.

Step-by-step explanation:

The circle shown has a radius of 4 cm.
Not drawn
to scale
х
What is the length of the diameter of the circle?
cm

Answers

Answer:

8 cm

Step-by-step explanation:

4+4=8 To get the diameter, double the radius and add them together.

Help pls I'm really busy and if I get ur help you will make my whole day :(

Answers

Answer:

1.) 7 ft = 84 in   2.) 100 yd= 300 ft  3.) 96 oz= 6 lbs  4.) 32 fl oz= 4 c  5.) 48 oz            6.) 80,000 lbs

Step-by-step explanation:

You have to use conversation rates.

1. 84

2. 300

3. 6

4. 4

5. 48

6. 80,000

Step-by-step explanation: I hope this made your day ツ

Help thank you to who ever does I will mark brainliest.

Answers

Answer:

V = 200.96 units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

The radius is  4 and the height is 12

V = 1/3 ( 3.14 ) ( 4)^2 * 12

V = 200.96 units ^3

ANSWER:  200.96 units

ANSWER ASAP ITS FOR FINALS
Name Geometry B Final ID: 1 Date Period Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior, 1) 2) the 3) 4) # Find the measure of angle b 6) 5)​

Answers

Answer:

9. 66°

10. 44°

11. [tex]2\sqrt{7}[/tex]

12. [tex]2\sqrt{3}[/tex]

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = [tex]\sqrt{28}[/tex]

a = [tex]2\sqrt{7}[/tex]

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = [tex]\sqrt{12}[/tex]

a = [tex]2\sqrt{3}[/tex]

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = [tex]\frac{20}{x}[/tex]

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = [tex]\frac{x}{18}[/tex]

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

Five more than three times a number is 131. Find the number.

Answers

The answer would be 42
42*3 = 126
126+5 = 131
3(n)+5=131
3(n)+5 -5= 131-5
3(n)=126
3(n)/3= 126/3
n= 42

bc
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help​

Answers

Answer:

B)

Step-by-step explanation:

Because it says that Alex wants to spend exactly $30 so you want to have 30 as the total (  = 30 )

and it says 18 plus, you only add 18 one time ( 18 + )

and then it says 0.12 per mile, so you need to do something times 0.12 + 18 and get exactly 30. so you do ( 0.12x ) in this case we're not solving it we're just doing the equation so it's just 0.12x instead of a specific number

Put it all together and you get 18 + 0.12x = 30

Hope this helps dude

Which of the following statement is TRUE?

A. THE ONLY FACTORS OF 9 ARE 1 AND 9

B. THE ONLY FACTORS OF 10 ARE 1,2 AND 10

C.THE ONLY FACTORS OF 11 ARE 1 AND 11

D.THE ONLY FACTORS OF 12 ARE 1,2,6, AND 12.


PLEASE HELP!!!!!!!

Answers

Answer:

C.

Step-by-step explanation:

11 is a prime number, meaning that its only factors are 1 and itself.

Answer:

c

Step-by-step explanation:

 9        10      11        12  

1,9       1,10    1,11     1,12

3,3      2,5               2,6

                              3,4

If Tim has 2/3 pizza to share with 6 friends how much does he friend get

Answers

Answer:

Each friend gets 1/9th of the pizza.

Step-by-step explanation:

Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.

2 3/4 as an improper fraction

Answers

Answer: 11/4

Step 1
Multiply the denominator by the whole number
4 × 2 = 8

Step 2
Add the answer from Step 1 to the numerator
8 + 3 = 11

Step 3
Write answer from Step 2 over the denominator
11/4

Suppose your normal body temperature is 98 3/5degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?

Answers

This is your perfect answer

please!
If the sixth term in a geometric sequence is 1/625, and the common ratio is 1/5, find the explicit formula of the sequence.

Question 21 options:

an=(15)n−1for n ≥ 1


an=(5)⋅(15)n−1for n ≥ 2


an=(1)⋅(15)n−1for n ≥ 2


an=(5)⋅(15)n−1for n ≥ 1

Answers

Answer:

aₙ = 5*(1/5)^(n - 1)

Step-by-step explanation:

The recursive relation for a geometric sequence is:

aₙ = aₙ₋₁*R

where R is the common ratio.

We could write this in a general form as:

aₙ = a₁*(R)^(n - 1)

where a₁ is the first term of the sequence.

In this case we know that:

R = 1/5

And that:

a₆ = 1/625

Then we can replace these values in the above relation to get:

a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)

1/625 = a1*(1/3125)

(3125/625) = a1 = 5

Then the formula will be:

aₙ = 5*(1/5)^(n - 1)

Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?

Answers

Answer:

10 days

Step-by-step explanation:

Write an equation where both sides equal the same thing, using x as the variable for the amount of days

100-3x=20+5x

100-20=3x+5x

80=8x

x=10

Which of the following is the equation in slope-intercept form for the line that passes through the points (-2, 4) and (2.0) ?
O y = x + 2
O y = x-2
O y = -x + 2

Answers

Answer:

y = -x + 2

Step-by-step explanation:

Find the slope with rise over run:

(y2 - y1) / (x2 - x1)

(0 - 4) / (2 + 2)

-4 / 4

= -1

Find the y intercept by plugging in the slope and a point:

y = mx + b

4 = -1(-2) + b

4 = 2 + b

2 = b

Plug in the slope and y intercept:

y = -x + 2

So, the correct answer is y = -x + 2

If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?

Answers

Answer:

it would take 22 gallons of gas

Step-by-step explanation:

3 divided by 60

that’s the amount of gas per single mile

then that number times 440 (number of miles you wish to go).

Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.

Which table shows the same data?

Answers

Answer:

d

Step-by-step explanation:

PLEASE HELP ME THIS IS URGENT!! THIS IS ACC MATHEMATICS!! Please I need to turn this in

Answers

?so yeah but I don’t get it soooooooooooooooo

Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?

Answers

Answer:

Asafa ran at a faster rate

Step-by-step explanation:

Asafa's speed:

0.75 km/ 6 min = 750 m/ 6 min = 125 m/min

Jemaine's speed:

3000 m / 30 min = 100 m/min

Asafa ran at faster rate as 125 m/min > 100 m/min

Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank
so that he knows how much paint to purchase. What is the surface area of the tank, rounded to the nearest whole number?

Answers

Answer:

7069.5 ft^2

Step-by-step explanation:

Step one:

given data

dimension

radius of 15 feet

height of 60 feet

Required

The surface area of the tank

Step two:

[tex]A=2 \pi rh+2 \pi r^2[/tex]

substitute

[tex]A= 2*3.142*15*60+2*3.142*15^2\\\\A=5655.6+1413.9\\\\A=7069.5[/tex]

A= 7069.5 ft^2

Answer:

7069.5 ft^2

I took the test and got a 100

madison's family drove to her grandmothers' house. they drove 58.6 miles in the first hour, 67.2 miles in the second hour, and 60.5 miles in the third hour they followed the same routine to return home. about how much far did madison's family travel?

Answers

Answer:

add the 3 distances

Step-by-step explanation:

58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3

(MARKING BRAINLIEST) 100 points

Answers

Answer: 1) $0.76 per serving of pumpkin pie

2) 64 people

3)

1 1/3 cup sweet potatos

2 tablespoons + 2 teaspoons of white sugar

1 egg

1/4 teaspoon of salt

2 tablespoons of butter

2 tablespoons + 2 teaspoons of milk

1/4 teaspoon of vanillia

2 tablespoons + 2 teaspoons of brown sugar

1 tablespoon + 2 1/3 teaspoons flour

2 tablespoons + 2 teaspoons of peacans

Step-by-step explanation:

1) the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie/number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

2) 1lb=16oz

24/6=4

4x16=64

Answer:

0.76 per serving of pumpkin pie

2) 64 people

Step-by-step explanation:

f(x)= x^2 + 6x + 8

g(x)= x+2

(f+g)(x)=

(f-g)(x)=

(f•g)(x)=

(f/g)(x)=

Answers

Answer:

2^2

Step-by-step explanation:

thusly the attached to draw people protesting against the attached document below Regards Dave has a blissful weekend and the attached document below Regards

1. Display the data in a matrix A with rows indicating years. What is element a 14?

Answers

Answer:

LOL i don't even know

Step-by-step explanation:

Answer:

63

Step-by-step explanation you just killed my brainmeats

An infeasible problem is one for which ________________________ Group of answer choices the objective is maximized or minimized by more than one combination of decision variables. there is no solution that simultaneously satisfies all the constraints. the Allowable Increase or Allowable Decrease values for changing cells are zero. there is exactly one solution that will results in the maximum or minimum objective.

Answers

Answer:

there is no solution that simultaneously satisfies all the constraints.

Step-by-step explanation:

An infeasible problem is one for which there is no solution that simultaneously satisfies all the constraints.

In linear programming, when a linear problem or program has no solution that simultaneously satisfies all the constraints i.e no feasible solution can be generated or gotten, then, the problem is said to be an infeasible problem. This ultimately implies that, an infeasible problem is one that does not have an optimal solution for all of its constraints (linear and non-linear constraints).

For example, when the demand requirement in a manufacturing plant or industry is much greater than its available capacity this will result into an infeasible problem. Also, when various functional managers in different departments in an organization have varying degree of requirements because there won't be an optimal solution.

x =0, y>=0 Maximum for P =3x +2y

Answers

Answer:

day

Step-by-step explanation:

6th grade and the final grade for this semester and the

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