A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter.
In your textbook pg. 111, scale the vertical and horizontal axes by labeling each grid line with a number. You will need to use the time and distance information in the tick-mark diagrams.

Which line shows the ladybugs movement? The ant?
Unit rate for the Ladybug? The ant?
How long does it take for the ladybug to travel 12 cm? The ant?

A Ladybug And Ant Move At Constant Speeds. The Diagrams With Tick Marks Show Their Positions At Different

Answers

Answer 1

Answer:

From the graph we can say that ant is moving faster than the ladybug

Slope of the ant's movement will be steeper than the ladybug

Hence, line "v" denotes the speed of ant and line "u" denotes the speed of ladybug.

Unit rate/slope of the graph is (distance traveled/elapsed time)

Unit rate of ant is 3/2 cm/sec and that of ladybug is 1 cm/sec.Ant takes (12×2/3) = 8 sec and ladybug takes (12×1) = 12 sec to travel 12 cm.

Remember ant will take less time to travel a certain distance than ladybug.


Related Questions

The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?

Answers

Answer:

105 miles in 3 hours

Step-by-step explanation:

Your Welcome

6x + 2(3x – 9y + 5) + (-9)

Answers

12x - 18y + 1 is your answer
12x - 18y + 1 < that is if you’re trying to simplify

Which angle corresponds to the angle?

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

Corresponding angles are listed in the same order in the mapping statement.

C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.

  angle C' corresponds to angle C

PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE

Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.


A. 2 x ? = 7 1/2

B. 7 1/2 x ? = 2

C. 2 x 7 1/2 = ?

D. ? x 7 1/2 = 2

E. ? x 2 = 7 1/2

PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE

Answers

I think it’s b 7 1/2 will need to be divided by 2 to find x

Step-by-step explanation:

7 [tex]\frac{1}{2}[/tex] ÷ 2

A. 2 × ? = 7[tex]\frac{1}{2}[/tex]

   Divide 2 on both sides to bring all the constants on one side...

   ? = 7 1/2 ÷ 2

B. 7 1/2 x ? = 2

  Divide 7 1/2 on both sides to isolate the ?

  ? = 2 ÷ 7 1/2

C. 2 x 7 1/2

    You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2

D. ? x 7 1/2 = 2

   Divide 7 1/2 on both sides

    ? = 2÷ 7 1/2

E. It's basically the same thing as A

Whatever is bolded is the answer

I hope this made sense and I hope this helps!!!

What does (Y) equal?

2(5 + y) = 18

Answers

Answer:

y = 4

Step-by-step explanation:

distribute

10 + 2y = 18

minus 10 from both sides

2y = 8

divide by 2

y = 4

Answer: y=4

Step-by-step explanation:

2(5+y)=18

youre going to start by distributing the 2 to (5+y)

10+2y=18

then subract 10 from 18

2y=8

and then divide 2 on both sides

y=4

What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1

Answers

Step-by-step explanation:

Tr+1 = nCr * a^(n-r) * b^r.

Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.

=> 1, 6, 15, 20, 15, 6, 1.

You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.

Please help this is due today

Show work please

Answers

Answer: ↓↓↓Btw sorry its not in order

Step-by-step explanation:

m∠62 and ∠g are vertical angles so they're congruent.

∠g = 62°

∠f and m∠62 are linear pairs so they're supplementary

∠f + 62 = 180

∠f = 118°

∠e is a right angle and is supplementary to a 90° angle

∠e = 90°

Adding ∠e, m∠28° and the missing angle should sum up to 180° since its a triangle. x = missing angle

x + ∠e + m∠28 = 180°

x + 90 + 28 = 180

x + 118 = 180

x = 62°

∠h ≅ x

∠h ≅ 62

∠h = 62°

∠b and m∠28 are vertical angles so they're congruent.

∠b ≅ m∠28

∠b = 28°

∠b and ∠a are linear pairs so they are supplementary.

∠a + ∠b = 180

∠a + 28 = 180

∠a = 152°

∠c and ∠a are corresponding angles so they're congruent.

∠c ≅ ∠a

∠c ≅ 152

∠c = 152°

∠c and ∠j are vertical angles so they're congruent.

∠j ≅ ∠c

∠j ≅ 152

∠j = 152°

The corresponding angle of c is 152° as well. Let's call it y. Y corresponds to the angle with a bisector. Call that whole angle z.

z ≅ y

z ≅ 152

z = 152°

Z has a bisector meaning the two angles that formed because of the bisector are congruent.

∠d and the other angle add up to 152°. They're equal.

∠d = 152 ÷ 2

∠d = 76°

Hope I helped!

April invests in an annually compounded account with an interest rate of 4.1%. After 6 years, she plans to have $8600 in her account. For this to be true, what must be her initial investment?

Answers

Answer:

d

Step-by-step explanation:

i think so

Answer:

Step-by-step explanation:

6758

Must round 6757.62 to nearest whole

Bacteria tend to grow very fast in a Petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is given by N(t)=-2°+92 +625, where !
represents the hours since 625 bacteria were introduced to the Petrì dish. Determine the maximum number
of hacteria that occur in the dish.

Answers

Answer:

6. Bacteria tend to grow very fast in a petri dish at first because of unlimited food and then begin to die out due

to competition. In a certain culture, the number of bacteria is givenby N(f) =1f +92t+.625' where /

represents the hours since 625 bac,teriawere introduced to the Petri dish. Determine the *={TlgX9"t

of bacteria that occur in the dish.

Step-by-step explanation:

t= -92/-2(2) =23

N (23) power 2 +92(23) + 625 =1628

my hands are paining by typing

please make me as brainleist

Tell whether x and y show direct variation. Explain your reasoning.

1. x + y = 6

2. y - x = 0

3. y/x = 20

4. x = y + 2

Answers

Answer:

a certain number that i do not know

Step-by-step explanation:

a certain number that i do not know

can someone pls help me! thank you!

Answers

Answer:

6 hours

Step-by-step explanation:

she played game 25% of the time.

25% of 30 hours is 7.5 hours

she researched 5% of the time.

5% of 30 hours is 1.5 hours

so she played game 7.5-1.5=6 more hours than she researched

Eureka has 20 yo-yos she has two times as many yo-yos as Polly how many yo-yos does polly have?

Answers

Answer:

Polly has 10 yo-yos.

Step-by-step explanation:

Since Eureka has 20 yo-yos, and has twice as many yo-yos as Polly, to determine the number of yo-yos that Polly has it is necessary to perform the following equation:

Polly's Yo-yos = X

Eureka's Yo-yos = 2X

20 = 2X

20/2 = X

10 = X

Therefore, Polly has 10 Yo-yos, half the number Eureka has.

Answer:

10

Step-by-step explanation:

frances can complete 91 oil changes in 7 days How many oil changes can Frances complete in 11 days .

Answers

Answer:

143

Step-by-step explanation:

help pls it’s due today

Answers

Answer:

first one is 3/12 and second one is8/ 12

3/12 and 8/12 I think have a nice day

Which of the following is the product of the rational expressions shown
below?
3/x+7 x 4/x

Answers

Answer:

12/ x^2+7x

Step-by-step explanation: Took the test and got it right

The product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

The polynomial can be represented as:

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have polynomial:

[tex]\rm = \frac{3}{x+7}\times \frac{4}{x}[/tex]

[tex]=\rm \frac{3\times4}{x(x+7)}[/tex]

[tex]\rm = \frac{12}{x^2+7x}[/tex]

Thus, the product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

x squared over 8 plus y squared over 4 equals 1
x squared over 16 plus y squared over 4 equals 1
x squared over 8 minus y squared over 4 equals 1
x squared over 16 minus y squared over 4 equals 1

Answers

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

NO

Step-by-step explanation:

The answer is no because the first column is 1 times 1 which is 1. The second column is 2 times 1 which is not 4. So this table is not proportional.

Please mark brainlliest if you want.

On a certain hot​ summer's day, 195 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $383.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

3x-x+2=4

Step-by-step explanation:

Children = x

Adults = y

x + y = 754...1

1.50x + 2.25y = 1422...2

Multiply (1) by 2.25

2.25x + 2.25y = 1696.50...3

1.50x + 2.25y = 1422...2

Subtract (2) from (3)

0.75x = 274.50

x = 366

Substitute x = 366 in (1)

x + y = 754

366 + y = 754

y = 388

366 children and 388 adults swam at the pool.

c=5

9/5c +32=

9/5 × 5/1

45/5+32

9+32

c=41

Brushing up on skills but wasn't sure. May I have help, please? Thank you! ​

Answers

Correct.

9/5c+32

substitute c to 5

multiply 9/5 to 5

then add 32

Done

Michelle has starting balance on a gift card for $300. She buys several dresses at $40 a piece.After her purchase she has $140 left on her gift card.How many dresses did she buy?​

Answers

Answer:

4!

Step-by-step explanation:

40 x 4 = 160

160+ 140 = 300

Answer:

4 dresses

Step-by-step explanation:

If she starts with $300 and ends up with $140, that means that she spent $160. So, since each dress costs $40, you divided $160 by $40, which equals 4. So Michelle bought 4 dresses.

(hope this helps!)

Please help I will give you a brainliest

Answers

Answer: it is red

Step-by-step explanation:

With an increase in temperature, the particles move faster as they gain kinetic energy

red, the higher the temp is, u can see the particles move farther apart which indicates movement

A square has sides of 10cm. what is its area?

Answers

Answer:

100 cm²

Step-by-step explanation:

In a square

length of the sides (L) = 10 cm

Area of square (A) = L² = ( 10 ) ² = 100 cm²

Answer:

100cm^2

Step-by-step explanation:

10×10 is 100

so it's 100cm squared

One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. a) Andrew did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded

Answers

Answer:

[tex]Probability = \frac{1}{792}[/tex]

Step-by-step explanation:

Given

[tex]Questions = 12[/tex]

[tex]Selection = 5[/tex]

Required

Probability of grading the selected 5 by Andrew

First, we need to determine the total number of selections.

This is calculated as: [tex]^{12}C_{5}[/tex]

Solving further:

[tex]^{12}C_{5} = \frac{12!}{(12-5)!5!}[/tex]

[tex]^{12}C_{5} = \frac{12!}{7!5!}[/tex]

[tex]^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]

[tex]^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]

[tex]^{12}C_{5} = \frac{95040}{120}[/tex]

[tex]^{12}C_{5} =792[/tex]

There is only 1 for Andrew's question selection.

So, the required probability is:

[tex]Probability = \frac{1}{792}[/tex]

Help! What does x equal???​

Answers

Answer:

x = 20/9

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 3.

and you should get this :P

Answer: X=20/9

beacause x eqauls to 4/3 times 53/3

If y is 9, what is x?

Answers

Answer:

Ima just steal the points

Step-by-step explanation:

y = 5x-3
Given x = 9
y =

Answers

5(9) - 3
45 - 3
42

y=42

Solve the equation X-12/4=9
X=44
X=83
X=48
X=25

Answers

Answer:

X=48

Step-by-step explanation:

what is equivalent to 60% of 25​

Answers

60% of 25 is 15 I hope this helps

Please answer this correctly without making mistakes

Answers

2.12500 pounds
Got this off the Internet

If m∠Y = 107° and m∠Z = 33°, what is m∠X?
(Start with the sum of the angles of a triangle
and work backwards.)

A. m∠X = 27° C. m∠X = 33°

B. m∠X = 40 D. m∠X = 120

Answers

Answer:

B would be the answer.

Step-by-step explanation:

Use what they said. All angles in a triangle would sum to 180 degrees.

So based on that, 107 + 33 + <x = 180

140 + <x = 180

<x would then be 40 degrees

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