The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?

Answers

Answer 1

The constant is 18

To find distance (d) you would multiply the constant by the time(t).

D = 18t

Distance is speed x time, so the given constant would be the speed of the ant.


Related Questions

Simon began a weight-loss program. He loses weight every two weeks. His weight, in pounds, t months after he began the weight-loss program, is shown by the following expression.

210(0.94)2t

Which statement below best describes the base, 0.94?

A. Simon's weight before he beganm the weight-loss program

B.the rate which Simon loses weight

C. the monthly decrease in Simon's weight

D. the numbers of times Simon has lost weight since he began the weight-loss program

Answers

pretty sure b. not 100% sure.

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm, find the distance when the weight is 2-kg. round your answer to the nearest whole centimeter.
a. 65 cm
b. 12 cm
c. 0 cm
d. 6 cm

Please select the best answer from the choices provided.
.A
.B
.C
.D

Answers

Answer:

I think it is b

Step-by-step explanation:

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

What is the spring force?

The spring force is directly proportional to the deflection of the spring. Let 'x' be the deflection of the spring due to force 'F'. Then the spring force is given as,

F ∝ -x

F = - kx

mg = - kx

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm. Then the spring force is calculated as,

9g= - k (54)

- g / 6 = k

Then the equation is given as,

F = (g / 6) x

The distance when the weight is 2 kg will be given as,

2g = (g / 6) x

12 = x

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

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Which equation is an identity?

3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
StartFraction one-third EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals 3 left-parenthesis x plus 1 right-parenthesis minus x minus 2.(6x – 3) = 3(x + 1) – x – 2

Answers

Answer:

c. 2x + 3 = 1/2(4x+2)+2

Step-by-step explanation:

Hope this helpss!!

Answer:

2x + 3 = 1/2(4x+2)+2

Step-by-step explanation: on edge

Which Property of Addition does 9 + 0 = 9 illustrate ? A. Distributive Property B. Identity Property C. Zero Property D. Commutative Property​

Answers

Answer:

B. Identity Property

Twenty point question!

Answers

Answer:

yes

no

Step-by-step explanation:

i hope im correct please give me brainliest and some feedback if im correct or not :)

7th grade math help me plzzzz

Answers

Answer:

35

Step-by-step explanation:

Answer-
32cm
Hope that helped

Solve for x 2(-4x+2)=28

Answers

Answer:

x=-3

Step-by-step explanation:

Divide both sides by 2, so -4x+2=14

Subtract 2 from both sides, -4x=12

Divide both sides by -4, so x=-3

Answer:

4x2 = 28

Step-by-step explanation:

Which statement about -8 and
-12 is true?

Answers

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.

Answers

Answer:

See explanation

Step-by-step explanation:

Given

f(r) => Number of people in the bus after 8am

Required

Interpret f(5) = 23

Going by the analysis in the question, the interpretation goes this:

5 hours after 8 am, there are 23 riders on a bus

We can also interpret as:

There are 23 riders on a bus at 1 pm

Since 1 pm = 5 hours after 8am

Help whats the answer to this Help plz

Answers

Answer:

3/5

Step-by-step explanation:

when you multiply powers by a zero it = 0 so you would just end up with 3/5

3.99 x 10^-2 - 1.5 10^-3


put it in scientific notation

Answers

Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

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Please help ASAP
Thank you

Answers

If you are doing same change flip your answers are
A 2
B 4
C 3
D 4 simplified is 2
E 6 simplified is 3

Solve and show your work.

12-[2 + 6 ÷ (10 - 2³)]

Answers

Answer:

7

Step-by-step explanation:

[tex]2^{3} = 8[/tex]  Plug 8 in: 12 - [2 + 6 ÷ (10 - 8)]10 - 8 = 2Plug 2 in: 12 - [2 + 6 ÷ (2)]6 ÷ 2 = 3Plug 3 in: 12 - [2 + 3]2 + 3 = 5Plug 5 in: 12 - 512 - 5 = 7

I hope this helps!

hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes hugo wants to make 9 keychains today if hugo works at the same rate today how long will it take him to make the keychains

Answers

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

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Rectangle A is enlarged to create Rectangle B.
Rectangle A measures 4.1 cm by 5.2 cm.
Rectangel B measures 12.3 cm by 15.6 cm.
What is the scale factor?

Answers

Answer:

itz 5

Step-by-step explanation:

i took quiz

You have solved a radical equation. What should you do to check whether your proposed solution is​ correct?

You should check your proposed solution in any of the equations you found while looking for the solution.

You​ don't need to check whether your proposed solution is correct. You know you followed the proper​ method, so it should be fine.

You should check the proposed solution in the original equation.

You should check the proposed solution in the back of the book because it is always right.

Answers

Answer:You should check the proposed solution in the original equation.

Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

What is a radical?

The radical is the symbol that is used to represent the root in the expression n√x.

You have solved a radical equation. Now, to check whether your proposed solution is​ correct You should check the proposed solution in the original equation.

Hence, the correct option is C.

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Round the number to the place of the underlined digit. 42.76 The rounded number is​

Answers

Answer:

what am i supposed to be rounding to

Step-by-step explanation:

if i was rounding to the tenths it would be 42.8

Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.

Answers

Answer:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

Step-by-step explanation:

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16, a) what is the probability that the sample mean is above 95? (4 d.p.) b) What is the value, of which there is 97.5% chance that a sample mean is less than that value? (1 d.p.)

Answers

Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6

Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7).
y = 2x + 5
a.
C.
1
•x-5
y =
b.
d.
1
y = -x + 5
2
1
y = --X + 5
Please select the best answer from the choices provided
A
B
ОООО
C
D

Answers

Answer:

Step-by-step explanation:

you want a line with slope = -1/2

So, using the point-slope form of the line,

y-7 = -1/2 (x+4)

y = -1/2 x + 5

Hard to tell what your choices are ...

What is the y-intercept of y = 2x + 5

Answers

Answer:

5

Step-by-step explanation:

Why is 18:3 and 6:1 equivalent ratios

Answers

Answer:

Because if you multiply 6 three times, it comes out to be 18.

So basically, 6 x 3 = 18

To be sure, 18 ÷ 6 = 3

So, 18:3 = 6:1

18:3 and 6:1 are equivalent ratios because those are equivalent fractions.

What is the ratio?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or   [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Explanation;

If we get the factors of the first ratio, we will see that;

18: 6 and 3, and 18 and 1

3: 3 and 1

Hence, if we display the ratios in fractions;

18/3 = 6/1

And then we write them in factors, we will get;

3x6/3x1 = 6/1

Simplifying;

3/3 x 6/1 = 2/1 x 3/1 = 1/6

Therefore, 18:3 and 6:1 are equivalent ratios.

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What does the passage state that people can do if the government fails to protect their rights? stop paying taxes create a new country stop voting in elections create a new government

Answers

Answer:

create a new government

Step-by-step explanation:

hope it helps

The passage suggests that creating a new government can be a suitable option if the existing government fails to protect people's rights.

If the current government fails to defend people's rights, the paragraph argues that forming a new government may be a viable alternative. This option may be explored because it provides the potential to create a system that is more aligned with the ideas and values that people desire in governance.

People may establish a system that prioritizes the protection of rights, assures accountability, and promotes fairness and justice by forming a new government. Individuals may use it to create new laws, rules, and a constitution that represent their chosen ideals and provide greater safeguards for their rights.

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Please help thank you so much I mark as brainliest​

Answers

The coordinates of point R are (-8, 7)


HELPPP look at the picture I’m stuck on this

Answers

Answer:

the last graph (D)

What is the solution set of the equation |2x-9| = -9

Answers

Answer:

tbh i don't kno either lol

Step-by-step explanation:

hehehe

Which answer choice is equal to −(2÷3)?

Answers

Answer: -2÷3

Step-by-step explanation:

-(2÷3) = -2÷3

PLEASSEEE HELP OMG I WILL DO ANYTHING!!! IM BEGGING

Answers

Answer:

180 boxes

Step-by-step explanation:

The rate of change is 10 boxes per hour, so if you multiply 10 times 18 you will get 180 which is the answer.

Explain how you could use either multiplication or division to solve the same equation.

Answers

Answer:

Multiply By Decimal

Step-by-step explanation:

If you multiply a number by a decimal you get the same outcome that you would if you would have divided it

F(x)=2x+2 solve the inverse when x=4

Answers

The answer is f= 5/2
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