A family on vacation drove a total round-trip distance of 735.75 miles. They traveled
for 7 hours in one direction and 6.5 hours on the return trip. What was their average
speed for the entire trip?

Answer:

23

Step-by-step explanation:

Answer:

[tex]154m^{2}[/tex]

Step-by-step explanation:

8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).

5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.

6 · 8 = 48m (square shape to the left of the polygon)

2 · 5 = 10m  (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5

56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]

Well the answer is 3,375

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

all numbers must be positive when you have the lines on the side

Answer:

8

Step-by-step explanation:

Answer:

x = 18

mZT = 71º

Step-by-step explanation:

Complementary angles total 90º

(3x + 17) + 19 = 90

Subtract 19 from both sides

3x + 17 = 71

mZT = 71º

Subtract 17 from both sides

3x = 54

Divide both sides by 3

x = 18

Multipuly po ba (15;000 7%)

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

To learn more on inequality click:

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Answer:

4ft

Step-by-step explanation:

The bottom of the ladder will be 16.25 feet from the bottom of the building.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

As per the situation, we create a right triangle as shown.

Let x be the distance from the bottom of the building to the bottom of the ladder.

Using Pythagoras's theorem, then, we have:

x² + 31² = 35²

Simplifying this equation, we get:

x² = 35² - 31²

x² = 264

x = 16.25 (rounded to the nearest tenth of a foot).

Therefore, the bottom of the ladder will be 16.25 feet from the bottom of the building.

Learn more about Pythagoras's theorem here:

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Answer:

Step-by-step explanation:

1.C. circumference

2.D. 25.12 decimeters

Solution

C=2πr=2·π·4≈25.13274

3.B. 28.26 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433m

4.B. 25.12 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274m

5.B. 21.98 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·7≈21.99115m

Answer:

11+y > -33

Step-by-step explanation:

Answer:

You wrote

"Which of the following" Meaning there's should be options present.

But Going with the statement...

The sum of 11 and y is greater than -33

I'd say

11 + y > -33.

Answer:

x = 6 1/4

y = 3 3/4

Step-by-step explanation:

let 'x' = gallons of 6% nitrogen

let 'y' = gallons of 30% nitrogen

system of equations:

x + y = 10;  let y = 10-x

6x + 30y = 10(15)

substitute '10-x':

6x + 30(10-x) = 150

6x + 300 - 30x = 150

-24x = -150

x = 6 1/4

y = 3 3/4

Answer:

The area of the triangle is 40 [tex]yd^2[/tex].

Step-by-step explanation:

The formula for finding the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] and [tex]h[/tex] represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be [tex]\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2[/tex].

Answer:

Final point (-4, 4) Original point (3, -4)

Answer:

Again, I can't move it for you but I can give you the points!

original: (3, -4)

final: (-4, 4)

Answer:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Step-by-step explanation:

Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]

[tex]||v||=\sqrt{24+8}[/tex]

[tex]||v||=\sqrt{32}[/tex]

Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]

[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]

[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]

[tex]\alpha=40.89^{\circ}[/tex]

Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]

To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].

In conclusion, the trigonometric form of the vector is:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or

[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

19,683

Hope this Helped!

Answer:

Jeffery because the other dude go the 2 numbers wrong (he put the x coordinates on y and y on x)

Complete Question

A two-state system is in an environment at temperature 500 K. The energy of state 1 is[tex]E_1=4.1e-20 J[/tex], and the energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)

Answer:

 [tex]X=0.0984[/tex]

Step-by-step explanation:

From the question we are told that:

Temperature T=500 K

Energy of state 1 [tex]E_1=4.1e-20 J[/tex],

Energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]

Generally the equation for Probability of finding the system in state is mathematically given by

 [tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]

Therefore

For Probability of finding the system in state 1 [tex]P(1)[/tex]

 [tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]

Where

   K is Boltzmann constant

   [tex]K=1.38*10^{-23}[/tex]

 [tex]P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}[/tex]

For Probability of finding the system in state 1 [tex]P(2)[/tex]

 [tex]P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}[/tex]

Generally the equation for The Ratio of [tex]P(2)[/tex] and [tex]P(2)[/tex] is mathematically given by

 [tex]X=\frac{P(2)}{p(1)}[/tex]

 [tex]X=e ^{\frac{E_1-E_2}{KT}}[/tex]

 [tex]X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}[/tex]

 [tex]X=0.0984[/tex]

Answer:

The correct answers are [tex]x < 9[/tex] and any rational number less than 9.

Step-by-step explanation:

Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.

Answer:

D 34

Step-by-step explanation:

i hope you understand

Answer:

b

Step-by-step explanation:

make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria

Answer:

3.333 hours

Step-by-step explanation:

Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so

30 = D(boat 1) + D(boat 2)

30 = (S1 * T) + (S2 * T)

30 = 3T + 6T

30 = 9T

3.333 = T

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

(a) 67900

(b) 291700

(a) 25 x 679 x 4

Rearrange the terms starting with the smallest

4 x 25 x 679

The property used here is the commutative property of multiplication which states that the order in which these numbers are multiplied does not matter.

Now solve

4 x 25 x 679 = 67900

(b) 2917 x 102 - 2917 x 2

Factor out the common terms

2917(102 - 2)

Using the distributive property which states that when a number is multiplied by the sum or difference of two numbers, the result is the same as multiplying each of the two numbers by the number and then adding or subtracting the products.

Now solve

2917(102 - 2) = 2917(100)

= 291700

Answer: hello! have a good day! :)))

P = 2

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

[tex]y = 10x[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]

We have:

[tex](x_1,y_1) = (8,80)[/tex]

[tex](x_2,y_2) = (2,20)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20 - 80}{2- 8}[/tex]

[tex]m = \frac{-60}{-6}[/tex]

[tex]m = 10[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 10(x - 8) + 80[/tex]

Expand

[tex]y = 10x - 80 + 80[/tex]

[tex]y = 10x[/tex]

Answer:

20 × 9= 180

...............................

Hi there!

[tex]\large\boxed{180 u^2}[/tex]

Use the following formula to solve for the area:

A = b × h

Plug in the given numbers:

A = 20 ×  9 = 180 units²

Answer:

Moderate

Step-by-step explanation:

I think sorry if its wrong