Susan can swim 105 meters in 70 seconds. At this rate, how far can she swim in 30 seconds?

Answers

Answer 1

Answer:

45 meters per 30 seconds

Step-by-step explanation:

To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.

105 divided by 70 = 1.5

So Susan can swim 1.5 meters per second.

Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.

1.5 x 30 = 45 meters

So, in conclusion, Susan can swim 45 meters per 30 seconds


Related Questions

Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

This means that they are equivalent to each other.

10 = 30 *Multiply by 3

2 = x

Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.

x = 6

Answer:

Hi

the answer would be:

10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6

I hope that it's correct.

Step-by-step explanation:

In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right

Answers

You should have put a picture so we could see the graph

The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 0.25tb=0.25t. What is the constant of proportionality from the time in hours to the inches of candle that has burned away?

Answers

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2

Please help me circles.....

Answers

Answer:

95

Step-by-step explanation:

The equation is

x×2=285-x

3x=285

x=95

Answer:

x = 75°

Step-by-step explanation:

There are many Circle Geometry Rules. We will be using the following:

The angle at the centre of the circle is twice the angle at the circumference.

x = the angle opposite 285 - x.

This means that 360 - (285 - x) = 2x

360 - 285 + x = 2x

75 + x = 2x

We can simplify this by taking away x from both sides.

75 = x

We can check this by substituting x into the orginal equation.

360 - (285 - x) = 2x

360 - (285 - 75) = 2 * 75

360 - 210 = 2 * 75

150 = 2*75

150 = 150

I would think your section of wilderness will be satisfied is the new wildlife refuge has its dimensions are 5×10 to the fifth power meters by 4×10 to the 4th m find the area of land in square meters

Answers

Answer:

2×10¹⁰ m²

Step-by-step explanation:

Dimensions of rectangle:

5×10⁵ m and 4×10⁴ m

The area is the product of the two dimensions:

5×10⁵ m × 4×10⁴ m =20×10₉ m² =2×10¹⁰ m²

The air pressure P is inversely proportional to the altitude h. write the related variation equation

Answers

Step-by-step explanation:

P * h = k, where k is a real constant.

Please help!
Melissa's penny bank is 3/10 full. After she adds 240 pennies, it is 4/5 full. How many pennies can Melissa's bank hold?

Answers

Answer: 480 pennies
Explanation: 4/5=8/10 8/10-3/10= 5/10
240 pennies filled half of the bank thus 480

What is the slope of the line?​

Answers

Th answer is 3/2. The line goes up 3 spaces and goes sideways 2 spaces. I hope this helps! :)

The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?

A. 5/12
B. -12/13
C. -5/12
D. 12/13

Answers

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

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This hurts my brain cells help me

Answers

Looks right though

What question are you asking?

PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.

Answers

Answer:

x = 1.73

y = 2.45

z = 1.41

Step-by-step explanation:

1/z = z/2

z^2 = 2

z = sqrt(2)

1^2 + z^2 = x^2

1 + 2 = x^2

x^2 = 3

x = sqrt(3)

z^2 + 2^2 = y^2

2 + 4 = y^2

y^2 = 6

y = sqrt(6)

x = 1.73

y = 2.45

z = 1.41

what is the slope intercept form of a linear function

Answers

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.

Step-by-step explanation: I hope this helps

Answer:

y=mx + b

Step-by-step explanation:

(1 pt
Find a formula for P = f(t), the size of the population that begins in year t=0 with 2140 members and decreases at a 3.8% annual rate. Assume
that time is measured in years

Answers

Answer:

The formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

Step-by-step explanation:

We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

here

f(t) represents the final amount

a represents the original amount

b represents the decay factor

t represents the amount that has passed

Now, map our problem using the same concept formula

as

2150 members are at the beginning, so

a = 2150  

as the size of the population has been experiencing an annual decline of 3.8%. so

b = 3.8%= 0.038

so substituting b = 0.038 and a = 2150  

[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]

Therefore, the formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.

Answers

I honestly do not know this seems to me to be a trick question

find the sum:
13,16,19,...301
thanks!

Answers

Answer:

349

Step-by-step explanation:

please give thanks by clicking the heart :)

The answer for the question is this
349

HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6

Answers

4. 2/x + 3/y = 6 is not a linear equation!:)

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time

Answers

Answer:

B. 1/3

Step-by-step explanation:

The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...

2 / 6 = x

If we simplify it would give us [tex]\frac{1}{3}[/tex]

At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning

Answers

I am thinking 3.5 pounds

Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.

Step-by-step explanation:


Bananas cost $0.79 a pound. Mrs. Huff bought p
pounds of bananas. She paid a total of $7.90.
Write an equation to represent the situation.

Answers

7.90=0.79•p this is the equation your looking for

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360

Answers

Answer:

D

Step-by-step explanation:

We know that every second the bird's position lowers by 3(-3) so the equation for it is option D

Answer:

its A i got got right on my test

Step-by-step explanation:

A.P.E.X.

15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15

Answers

Answer:

16 17

Step-by-step explanation:

Can someone help me?

Answers

Answer:

sorry bruv wish you the best i will pray for you

Step-by-step explanation:

Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive

Answers

Answer: Dried apricots are less expensive they are $8.75

Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive

12x + 10x what is the awnser

Answers

Answer:

22x?

Step-by-step explanation:

is there more to this question? if not its just simple addition and then add "x" at the end

Name the property that the statement illustrates.

Answers

Answer:

Transitive property of segment congruence

Step-by-step explanation:

The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,

The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].

In terms of general equivalence relations,

The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].

That's the transitive property.

The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.

Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.

Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.

Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?

Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?

Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?

Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?

Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?

Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?

Answers

Answer:

A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).

B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius

C. 4 degrees celsius

D. 39 degrees fahrenheit

E. Isla Hoste in august

F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

Hope this helps OwO

a) The average high and low temperatures are -8°C and -27°C.  b) The average high and low temperatures are 13°C and  7°C. c) The average net change in temperature is -19°C.  d) The average net change in temperature is 6°C.  e) Nuuk in January experiences a larger absolute change.  f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

Part A

The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.

Part B

The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.

Part C

The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.

Part D

The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.

Part E

Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.

Part F

The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

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The mayor of melvins town choose 160 students form his school to attend a city debate. This amount is no more than 1/4 of the students in melvins school. What is the least possible number of student that attended melvins school

Answers

Answer: 640 students.

Step-by-step explanation:

given data:

number of student chosen to attend by the mayor = 160

amount this student represents of the total population = [tex]\frac{1}{4}[/tex]

solution:

since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]

therefore;

[tex]\frac{1}{4} = 160\\[/tex]

multiply both sides by 4

[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]

the least number of students that attend melvins school is 640.

Please ASAP I WILL MARK YOU AS BRANLIEST

The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The sections will be equal in area. Write an expression that represents the area of each section.

Answers

Answer:

14z-9

Step-by-step explanation:

[tex]\frac{84z-54}{6}[/tex]

the equation of the line through (3 -4) with slope 2/3 is:
WILL GIVE BRAINLIST

Answers

Answer:

[tex]y = \frac{2}{3}x - 6[/tex].

Step-by-step explanation:

(3 , -4)  ;  slope(m) = 2/3

y - y1 = m (x -x1)

[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]

Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86

Answers

Answer:

x - 10y = -59

(+)-4x + 10y = 86

-3x = 27

x = -9

substitute x into x - 10y = -59

-9 -10y = -59

-10y = -50

y = 5

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