Approximate the solution of the system to the nearest thousandth.

Given:

The Benjamin's distance from City A, t hours after leaving his house is

[tex]D=260-65t[/tex]

To find:

The slope of the equation and what is its interpretation in the context of the problem?

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m (coefficient of variable x) is slope and b is y-intercept.

We have, the equation

[tex]D=260-65t[/tex]

It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.

It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.

Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.

Answer:

The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.

Step-by-step explanation:

The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.

Have a good day :)

Answer:

y =  4/3x + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

This warm-up prompts students to carefully analyze and compare quadratic expressions. In making comparisons, students need to look for common structure and have a reason to use language precisely (MP7, MP6). The activity also enables the teacher to hear the terminology students know and how they talk about characteristics of the different forms of expressions.

As students discuss in groups, listen for rationales that are based on the structure of the expressions. Select those students or groups to share their thinking during class discussion.

Launch

Arrange students in groups of 2–4. Display the expressions for all to see. Give students 1 minute of quiet think time and then time to share their thinking with their small group. In their small groups, ask each student to share their reasoning about why a particular item does not belong, and together find at least one reason each item doesn't belong.

Student Facing

Which one doesn’t belong?

A.

B.

C.

Answer:

8

Step-by-step explanation:

x=25-17

x=8

don't forget to collect like terms

Answer:

3*6+5= 23

Step-by-step explanation:

Answer:

Use points (0,-7) and (1,-5)

please see below if you would like a graph.

Step-by-step explanation:

The equation is y=2x-7

we need two points.

The equation is in y=mx+b form, where m is the slope and b is the y intercept

In that case we already know a point, since -7 is in the place of b. The y intercept as a point is (0,b). Therefore, our first point is (0,-7)

We also know the slope of the line, which is 2. The formula for slope is rise/run That means that the next point would be to go right one, and up 2, (both indicate a positive direction), or to the left one, and down 2(both indicate a negative direction.) Let's use the positive way.

going to the right 1=+1 on x. (1, y)

Going up 2=+2=-7+2=-5

Point is (1,-5)

use points (0,-7), and (1,-5)

please see below for a graph to compare.

hope this helps!

Answer: Both A, and C

Step-by-step explanation:

The answer to the first system of equations (2x+2y=16) would be

x=3 and y=5 ( 3x-y=4 )

Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

If A is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If B is x+y=16, then x=5 and y=11

         3x-y=4

If C is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If D is 6x+6y=48 , then x=-2 and y=10

            6x+2y=8

Both A and C are equal to the first system of equations, which means they are both correct answers.

Answer:

D

Step-by-step explanation:

I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

[tex](-10)+(-7)= - 10 - 7 = - 17[/tex]

Answer:

66.) 1.) M=-9/7

2.) Y-INTERCEPT (9)

3.) X-INTERCEPT (7).

Answer:

Step-by-step explanation:

I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz

(4656) (3856) = 17,953,536

Answer:

C

Step-by-step explanation:

Answer:

it is in its simpliest form there are no equivalent expressions because all factors are odd numbers

Step-by-step explanation:

pls give me brainliest

Tessa carved a total of 30 figures including bird and cat figures.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

let, The number of cat figures is 'x'.

Given, She has carved 4 times as many bird figures as cat figures.

Therefore, 4x = 24.

x = 24/4.

x = 6.

So, Tesaa carved 6 cat figures and hence she carved a total of

24 + 6 = 30 figures.

learn more about numerical expressions here :

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Answer:

36:1

Step-by-step explanation:

Divide 504 by 14 to get the ratio

Answer:

2.8 In is the answer to the question

Step-by-step explanation:

Nw+WD=ND

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

Answer:

its c

ududhsihsisbishsusbusvsusbusbduusususuuusueuieieiejejdhebteybybeybsbysyneybdyndybbydbyeynydnnydndyjdyj8ggnxr

Step-by-step explanation:

fhjfjjgcmhmhcxmgkhfkhffhkhfkgfoyfkyftfutdutxjtxoyf

Answer:

I can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first one- 40

the second one- 2.5

This should be correct if I did my math correctly

Answer:

B, C and F

Step-by-step explanation:

[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]

Answer:

Florida became a territory of the United States.

Step-by-step explanation:

i got it right on Edge

The correct option for the given statement is Florida became a territory of the United States.

Adams-Onís TREATY:-

The Adams-Onís Treaty between the United States and Spain was negotiated by Secretary of State John Quincy Adams and the Spanish Minister to the United States, Don Luis de Onís, and signed in February 1819.

The principal elements in the treaty were the acquisition of Florida by the United States and the establishment of a boundary line between Spanish territory and the United States.

After the Louisiana Purchase in 1803, Pres. Thomas Jefferson argued that Florida was included in Louisiana. In 1810 and 1812 the United States annexed sections of West Florida.

In the treaty Spain gave East and West Florida to the United States, and the United States agreed to assume claims by citizens of the United States against Spain.

Hence, the answer is Florida became a territory of the United States.

For more references on Adams-Onís TREATY, click;

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I  THINK you have it correct, but I'm not 100% sure.

Answer:

It’s correct

Answer:

94°

Step-by-step explanation:

There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

Sum of angles in a pentagon = 540°

Hence:

PQR + QRS + RST +STP + TPQ = 540 °

132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°

132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540

132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°

241 +13x = 540

13x = 540 - 241

13x = 299

x = 299/13

x = 23

What is m∠P?

m∠P in Pentagon PQRST = TPQ

TPQ = 4x + 2

= 4 × 23 + 2

= 94°