lucy runs 7 miles in 80 minutes. at this rate, how many miles would she run in 64 minutes

Answer:

40% increase

Step-by-step explanation:

Answer:

  increase of 40%

Step-by-step explanation:

A percentage change is found by ...

  percent change = ((new value) -(original value))/(original value) × 100%

  = (21 -15)/15 × 100% . . . . . . change from 15 to 21

  = 6/15 × 100% = 40%

The change is an increase of 40%.

Answer:

Step 1: Read the entire problem. Students will find themselves reading the story numerous times. Each time will have a different purpose in the model drawing process. Step 2: Turn the question into a sentence with a space for the answer.

Answer:

108

Step-by-step explanation:

(3) 4 × 3 (3)

Multiply 3 and 4 to get 12.

12 × 3 × 3

Multiply 12 and 3 to get 36.

36 × 3

Multiply 36 and 3 to get 108.

108

Hope it helps and have a great day! =D

~sunshine~

108

Step-by-step explanation:

Because (3) 4 ⋅(3) 3 makes 12 ⋅ 9 and that's 108

The linear function is y = x + 7 and it has it domain and range at  (-∞, ∞) respectively while it x and y - intercepts are (-7, 0) and  (0, 7) respectively.

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

The linear function always model the form of y = mx + c

Taking the points, we can find the slope of the line

m = y₂ - y₁ / x₂ - x₁

m = 8 - 0 / 1 - (-7)

m = 8 / 8

m = 1

The slope of the line is 1

Using the slope to find the y - intercept;

y = mx + c

8 = 1(1) + c

8 = 1 + c

c = 8 - 1

c = 7

The linear function is y = x + 7

The range of this function is (-∞, ∞) and the domain of the function is

(-∞, ∞).

The x and y -intercept of the function are

x - intercept = (-7, 0)

y - intercept = (0, 7)

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Answer:

•Equation => 3d + 5

d = 3

3 x 3 + 5

9 + 5

14 = Answer

Hope it's helpful

Answer:

3d+5=9+5=14

Step-by-step explanation:

3(d)=3*3=9

D=3

+5=14, answer is 14

brainest?

Answer:

1 and 5 sevenths of a bag

Step-by-step explanation:

2/7 males half to it takes 4/7 to make a full one multiply 4 by 3 and you get 12/7 so that makes 1 and 5/7

Answer:

B

Step-by-step explanation:

Let c represent the amount of gallons used in the city and h represent the amount of gallons used on the highway.

Graham drove a total of 200 miles. Since his car gets 25 miles per gallons in the city and 30 miles per gallon on the highway:

\(\displaystyle 25c + 30 h = 200\)

And he used a total of seven gallons. In other words:

\(c + h = 7\)

This yields a system of equations:

\(\displaystyle \left\{ \begin{array}{l} 25c + 30h = 200 \\ c + h = 7\end{array}\)

Since we want to determine the number of miles Graham drove in the city, we will solve for c using substitution. From the second equation, solve for h:

\(\displaystyle h = 7 - c\)

Substitute:

\(\displaystyle 25 c + 30 ( 7 - c) = 200\)

Solve for c:

\(\displaystyle \begin{aligned} 25c + (210 - 30c) &= 200 \\ -5c &= -10 \\ c &= 2\end{aligned}\)

Therefore, Graham used a total of two gallons in the city.

Since his car gets 25 miles per gallon in the city, Graham drove a total of:

\(\displaystyle \frac{25 \text{ mi}}{\text{gal}} \cdot 2\text{ gal} = 50\text{ miles}\)

Or 50 miles in the city.

In conclusion, our answer is B.

Step-by-step explanation:

Let

Gallon in city = x

Gallon in highway = y

25x + 30y = 200 (i)

x + y = 7 (ii)

Multiplying ii by 30

30(x + y) = 30(7)

30x + 30y = 210 (iii)

On subtracting

30x + 30y - 25x - 30y = 210 - 200

5x = 10

x = 10/5

x = 2

Distance covered = 50

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Answer:

Your answer is D 18 sq ft

Step-by-step explanation:

Hope I help!

Guarantee this answer is correct ;)

Answer:

21.6 in

Step-by-step explanation:

since it's a right triangle, use the pythagorean theorem (a^2 + b^2 = c^2)

12^2 + 18^2 = c^2

144 + 324 = c^2

468 = c^2

c = square root of 468

c = 21.6333 (...) in

since you have to round it up to the nearest tenth, then the answer should be 21.6 in

Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Answer:

2.94

Step-by-step explanation:

the clue is in the question, just times the numbers together

Answer:

The answer is surface area is 1168. 67 cm^2

Step-by-step explanation:

Applying the equation A=2pi* r * h +2pi *r^2

If r=6

h=25

Then answer is A=1168.67 ft^2

Answer:

the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

Step-by-step explanation:

Let assume that n should represent the number of the students

SO, \(\bar x\) can now be the sample mean of number of students  in GPA's

To obtain n such that \(P( \bar x \leq 2.3 ) \leq .04\)

⇒ \(P( \bar x \geq 2.3 ) \geq .96\)

However ;

\(E(x) = \int\limits^4_2 Dx (2+e^{-x} ) 4x = D \\ \\ = D(e^{-x} (e^xx^2 - x-1 ) ) ^D_2 = 12.314 D\)

\(E(x^2) = D\int\limits^4_2 (2+e^{-x})dx \\ \\ = \dfrac{D}{3}[e^{-4} (2e^x x^3 -3x^2 -6x -6)]^4__2}}= 38.21 \ D\)

Similarly;

\(D\int\limits^4_2(2+ e^{-x}) dx = 1\)

⇒ \(D*(2x-e^{-x} ) |^4_2 = 1\)

⇒ \(D*4.117 = 1\)

⇒ \(D= \dfrac{1}{4.117}\)

\(\mu = E(x) = 2.991013 ; \\ \\ E(x^2) = 9.28103\)

∴  \(Var (x) = E(x^2) - E^2(x) \\ \\ = .3348711\)

Now; \(P(\bar \geq 2.3) = P( \bar x - 2.991013 \geq 2.3 - 2.991013) \\ \\ = P( \omega \geq .691013) \ \ \ \ \ \ \ \ \ \ (x = E(\bar x ) - \mu)\)

Using Chebysher one sided inequality ; we have:

\(P(\omega \geq -.691013) \geq \dfrac{(.691013)^2}{Var ( \omega) +(.691013)^2}\)

So; \((\omega = \bar x - \mu)\)

⇒ \(E(\omega ) = 0 \\ \\ Var (\omega ) = \dfrac{Var (x_i)}{n}\)

∴ \(P(\omega \geq .691013) \geq \dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2}\)

To determine n; such that ;

\(\dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2} \geq 0.96 \\ \\ \\ (.691013)^2(1-.96) \geq \dfrac{-3348711*.96}{n}\)

⇒ \(n \geq \dfrac{.3348711*.96}{.04*(.691013)^2}\)

\(n \geq 16.83125\)

Thus; we can conclude that; the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

V=3053.6

Step-by-step explanation:

Answer:

8,999

Step-by-step explanation:

Cube root of 512 is 8.

cube root of 997002999 is 999.

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

The coordinate point of the function \(f(-4) = \frac{1}{4}(-4) - 4\) and x - 4 is graphed.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, a function \(f(x) = \frac{1}{4}x - 4\) and a line x = - 4.

Now, x = - 4 is a vertical line at x = -4.

Again, \(f(x) = \frac{1}{4}x - 4\) at x = - 4 is,

\(f(-4) = \frac{1}{4}(-4) - 4\).

\(f(-4) = - 5\).

So, The point is (- 4, - 5).

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Answer:

apples per pound: 0.25

pears per pound: 0.33

Apples give him the best value per pound

Step-by-step explanation:

to find apple per pound: 4/16= 0.25

to find pears per pound: 7/21= 0.33

Answer:

This is not my answer, it was done by another expert in Brainly.

We are given:  

csc (0) * sin (0)  

This is to be simplified using trigonometric identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

then,  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Answer:

Because you need it for your later life and for your GCSES and if you dont want to fail then you will need it.

Step-by-step explanation:

Given an exponential equation in which a common base cannot be found, solve for the unknown. Apply the logarithm of both sides of the equation. If one of the terms in the equation has base 10, use the common logarithm. If none of the terms in the equation has base 10, use the natural logarithm.

Answer:

Step-by-step explanation:

34x + 95 =3(14x + 9)​

34x + 95 = 42x + 27

34x - 42x = 27 - 95

-8x = -68

x = 68/8

x = 8.5

hope that helps :))

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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Answer: no

Step-by-step explanation: there is no constant ratio between the number of passengers in car and the total cost in dollars. For instance for two people in the car the cost is 10 therefore there should be 1:5 but in second case the ratio is accordingly 1:4 and so on.

hope this helps...