8. A flea wants to jump from the bottom to the top of a staircase that has 10 steps. He can either jump 3 steps up or 4 steps down. What is the smallest number of jumps he must make?

Answer: The purpose of this task is to give students experience in reasoning with equivalent ratios and unit rates from both sides of the ratio. This prepares for studying proportional relationships in Grade 7, and in Grade 8 for understanding that a proportional relationship can be viewed as a function in two different ways, depending on which variable is regarded as the input variable and which as the output variable. The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.

If we look in column E, we can see that it would take her 45 minutes to run 6 miles.

If we look in column B, we can see that she could run 2 miles in 15 minutes.

If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.

If we look in column C, we can see that her pace is 7.5 minutes per mile.

If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5minute mile×6 miles=45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Using the speed - distance relationship, kira's speed in miles per hour would be 4.8 miles per hour.

Given the Parameters :

Hence,

Speed = (2 ÷ 0.416666) = 4.8 miles per hour.

Therefore, Kira's speed is 4.8 miles per hour.

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Answer:

1. 22

2. 8

3. 31

4. 20

5. 38

6. 22

7. 26

8. 16

9. 14

10. 28

Step-by-step explanation:

USE PEMDAS

P: Parantheses

E: exponents

D: division

A: addition

S: subtraction

and ywww

Answer:

Hold a sec I got this

Answer:

the asnwer is p is less than or equal to -6.

Step-by-step explanation:

The reasonfro that is becuase when u have a negative variable you have to divide both sides by a negative, which will flip the symbol making it less than in this case rather than greater than. Hope this works mark as brainliest pls

that what i got but check the sign well

The integrand and given boundary for R suggests we should use

u = x - 4y

v = 5x - y

with 0 ≤ u ≤ 3 and 6 ≤ v ≤ 9.

Then

x = (4v - u)/19

y = (v - 5u)/19

and the Jacobian for this transformation is

[tex]J=\begin{bmatrix}x_u&x_v\\y_u&y_v\end{bmatrix}=\dfrac1{19}\begin{bmatrix}-1&4\\-5&1\end{bmatrix}\implies|\det J|=\left|\dfrac1{19}\right|=\dfrac1{19}[/tex]

The integral is then

[tex]\displaystyle\iint_R 2\frac{x-4y}{5x-y}\,\mathrm dA = \frac1{19} \int_6^9 \int_0^3 \frac{2u}v\,\mathrm du\,\mathrm dv[/tex]

[tex]=\displaystyle \frac2{19} \int_6^9 \frac{3^2-0^2}{2v}\,\mathrm dv[/tex]

[tex]=\displaystyle \frac9{19} \int_6^9 \frac{\mathrm dv}v[/tex]

[tex]=\dfrac9{19}(\ln9-\ln6)=\dfrac9{19}\ln\dfrac96=\boxed{\dfrac9{19}\ln\dfrac32}[/tex]

Answer:

The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5

The cost of avocados per box is $6

Step-by-step explanation:

Let us represent the price of Grapefruits per box = g

Strawberries per box = s

Avocados per box = a

Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23

2s + 3a = 23 ....... Equation 1

a = 23 - 2s

London buys three boxes of grapefruit and four boxes of strawberries in Spain $19

3g + 4s = 19 ....... Equation 2

Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51

7g + 5a = 51..... Equation 3

2s + 3a = 23 ....... Equation 1

3g + 4s = 19 ....... Equation 2

7g + 5a = 51..... Equation 3

Substituting 3a = 23 - 2s in Equation 3

a = 23 - 2s/3

7g + 5(23 - 2s/3) = 51

7g +( 115 - 10s/3) = 51

Multiply through by 3

7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3

21g + 115 - 10s = 153

21g -10s = 38 ........ Equation 4

Combining Equation 2 and 4

3g + 4s = 19 ....... Equation 2 × 10

21g -10s = 38 ........ Equation 4 × 4

30 + 40s = 190.. Equation 5

84g - 40s = 152 .... Equation 6

We Add Equation 5 and Equation 6 to eliminate s

114g = 342

g = 342/114

g = $3

To find s, cost 0f straw berries

g = $3

3g + 4s = 19 ....... Equation 2

3(3) + 4s = 19

9 + 4s = 19

4s = 19 -9

4s = 10

s = 10/4

s = $2.5

For find a, the cost of avocados.

7g + 5a = 51..... Equation 3

g = $3

7(3) + 5a = 51

21 + 5a = 51

5a = 51 - 21

5a = 30

a = 30/5

a = $6

g =$ 3, s =$ 2.5 and a = $6.

Therefore:

The cost of grapefruits per box is $3.

The cost of strawberries per box is $2.5 and

The cost of avocados per box is $6

Answer:

Step-by-step explanation:

the range are the y values so must be [4,-∞) because if you look at the y-axis the highest value is 4 and the lowest goes to -∞

Answer:

20.95 inches

Step-by-step explanation:

The complete revolution of the minute hand forms a circle in 60 minutes.

circumference of a circle = 2[tex]\pi[/tex] radius

i.e C = 2[tex]\pi[/tex]r

But from the question, r = length of the minute hand = 10 inches

⇒ C = 2[tex]\pi[/tex] x 10

  = 20[tex]\pi[/tex]

C = 20[tex]\pi[/tex] inches

Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.

So that,

the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C

                                                                     = [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]

                                                                     = [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]

                                                                     = 20.9524

                                                                     = 20.95 inches

Thus, the distance of the tip of the minute hand is 20.95 inches

Answer:

on the number its between 0 and 1

Step-by-step explanation:

if you jump from 0 to 6 you would have 6 jumps, so it would be 6.

0.6 equals 0.60 so it could ALSO be 60 jumps. (incase u needed that)

Answer:

m=n+5

Step-by-step explanation:

You just add n on both sides to get m because m is isolated on one side and variables and numbers on the other side of the equal sign.

Answer:

m=n+5

Step-by-step explanation:

m-n=5

add n on both sides

m=n+5

Answer:

they are both 3 with different powers

Step-by-step explanation:

Answer:

James ran faster

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

because there is 6 triangle and 5 circle

Answer:

Both is the anwser.

Step-by-step explanation:

Look it this way its simple 7.20 plus 6.75 equals 13.95

6.75 plus 7.20 is 13.95 theres no decimals changing in this problem meaning that both of them are correct.

Answer:

7/16

Step-by-step explanation:

Answer:

14/32 = 7/16

Step-by-step explanation:

You divide each number by two

Answer: one solution I believe

Step-by-step explanation: I got 21 as my answer and that is one solution

Answer:

det(2*3) also det(6)

Step-by-step explanation:

this is just filler so I can send it

Answer:

the correct answer would be 500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

hope this helps

Answer:

2.43 and rounded it is 2 dollars

Step-by-step explanation:

2 burger-$7.00

3 Fries-

2 Sodas- $2.00

7+2=9

$16.29-9.00=7.29

$7.29/3=2.43

Answer:2 4 and 5

Step-by-step explanation:

Answer:

1.86 (rounded to nearest hundredth) inches of snow in 1 hour

Step-by-step explanation:

Divide 13 inches of snow by 7 hours

The answer is 1.8571428571428571428571428571429

Round to the nearest hundredth

1.86

Hope this helped :)

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{What's the rate of 13 inches of snow in 7 hours?}[/tex]

[tex]\mathsf{\dfrac{13\leftarrow \bf{inches}}{7\leftarrow{hours}}} \\\\\mathsf{\dfrac{13\div7\leftarrow inches}{7\div7\leftarrow hours}}\\\\\mathsf{7\div7=1}\\\\\mathsf{\dfrac{13\div7\leftarrow\underline{ inches}}{1\leftarrow \underline{hour(s)}}}\\\\\mathsf{13\div7=1.857143}\\\\\mathsf{\dfrac{1.857143\leftarrow \frak{inches}}{1\leftarrow\frak{hour(s)}}}}}}\\\\\mathsf{1.85714\div1=\bf{ANSWER}}\\\\\textsf{Solve above and you have your answer.}[/tex]

[tex]\lhuge\text{Note: We're rounding our answer because the actual answer will take some time}[/tex]

[tex]\boxed{\boxed{\textsf{Thus, your answer is: \boxed{\boxed{\large\textsf{\bf1.86 inches per hour}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst}[/tex]

Answer:

C

Step-by-step explanation:

y = mx + c

m = (y2 - y1 )/ (x2 - x1)

using (1 , 7) & (2,5)

y2 = 5 y1 = 7 so y2 -y1 = -2

x2 = 2 x1 = 1 so x2 - x1 = 1

m - -2/1 = -2

y = -2x + c

when x =1 y = 7

so 7 = -2 + c

=> c =9

y = -2x + 9

if ordered pairs (2, 5) and (4, 1) used

m = (1-5)/(4-2)

=> m = -4/2

=> m = -2

y = -2x + c

for x =2 y =5

5 = -2*2 + c

=> c = 9

y = -2x + 9

she would have got same equation

Answer:

The person above is correct !  :))

Step-by-step explanation:

This is an confirmation :))

Answer:

C

Step-by-step explanation:

Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]

Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]

Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]

Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]

Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]

Solve: 106x = 2736

Finally: x ≈ 25.8 ≈ 26

Therefore: C

Graph is missing, so i have attached it.

Answer:

15 miles per hour

Step-by-step explanation:

We are given that d = 65t models the distance, d, that Malcolm's family travels after t hours.

Since we are comparing speed of both families, then we will find the speed here.

Formula for speed is;. Speed = distance/time

d = 65t and we know that d is distance and t is time. Thus, d/t = 65 m/hr = speed.

For Theo's family, looking at the image attached;

At a distance of 50 miles, time spent is 1 hr

At a distance of 100 miles, time spent is 2 hrs

At a distance of 150 miles, time spent is 3 hrs

At a distance of 200 miles, time spent is 4 hrs

Thus, speed = 200/4 or 150/3 or 100/2 or 50/1.

They all give a constant value of 50 m/hr.

Thus, speed of Theo's family = 50 mi/hr

Comparing this to that of Malcolm's family,we can see that Malcolm's family were faster by 65 - 50 = 15 mi/hr

Answer:

15

Step-by-step explanation:

Answer:

-0.04

Step-by-step explanation:

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15              Combine liked terms

9x + 15

GCF: 3

3(3x +5)                   Factor

Answer: the are no values of y that make it true

Step-by-step explanation: no solution

Answer:

-4/7

Step-by-step explanation: