Sofia is going to drive from her house to City A without stopping. Let DD represent Sofia's distance from City A t hours after leaving her house. The table below has select values showing the linear relationship between t and D. Determine how long Sofia has been driving the moment she was 157.5 miles away from City A.

Answers

Answer 1

Answer:

3.5 Hours

Step-by-step explanation:

I do not know what measurement or timelapse you're looking for. But this should be the answer to it, no I don't have an explanation though.

Answer 2

The distance between the city and the house is 260 miles.

What is an equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 = 15, for instance. There are different types of equations like linear, quadratic, cubic, etc.

t              d

1             195

2            130

2.5         97.5

The distance will be calculated by the equation of the line,

y = mx + c

m = ( 130 - 195 ) / ( 2 - 1 )

m = -65

y = -65x + c

195 = -65 + c

c = 260miles

Hence, the distance will be 260 miles.

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Related Questions

PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!

Answers

I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho

Step-by-step explanation:

substitute y = 7x + 3 in equation 2

9x - 2y = 14

9x - 2(7x + 3) = 14

9x - 14x + 6 = 14

-5x + 6 = 14

-5x = 14 - 6

x = 8 ÷ 5

x = 1.6

subs x = 1.6 into equation 1

y = 7x + 3

y = 7(1.6) + 3

y = 11.2 + 3

y = 14.2

thus, x = 1.6, y = 14.2

Which of the following is an example of a rational number?

Answers

Sqrt(5) or D is a rational number.

Rational numbers are numbers with a. Radical sign!

Enjoy!

Please like and brainiest if correct!

Please help ! I do not understand the question and do not know the answer

Answers

The first formula is inputted correctly.

Hope this helps :)

add.
(-5x^4+6x^3-43)+(6x^5-x^2+12x-12)

Answers


5
x
4
+
6
x
3
+
6
x
5

x
2
+
12
x

31

Which one of the following is NOT a right triangle?

a
9, 12, 15
b
8, 15, 17
c
7, 24, 25
d
10, 16, 19

Answers

Answer:

I think its B

Step-by-step explanation:

solve for v. 29 = -6 + 5v

Answers

I believe the answer is 7.
The answer for v is 7.

х
-2
-1
f(x)
-10
-8
-6
-4
Which is an x-intercept of the continuous function in the
table?
0
1
2
3
-2

(0,-6)
(3,0)
(-6,0)
(0,3)

Answers

Answer:

-6

Step-by-step explanation:

x-intercept is y = 0, so the point is (-6, 0), answer is -6

The Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).

What is Intercept?

The term "intercept" refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.

The x- or y-axis intersection point is what is meant when a line has an intercept. The y-axis is often taken into account if the axis is not stated. The letter "b" is typically used to represent it.

We know that the x intercept can be find where the value of y=0

So, From the table attached,

For x = -1, f(-1) = 0

For x = 2, f(2) = 0

For x = 3, f(3) = 0

Thus, Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).

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The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.

(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm

Answers

Answer:

(B) 18 cm × 8 cm

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

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Mathematics

Thank You!

Answered by: ms115

Answer:

B. 18 * 8.

Step-by-step explanation:

Let the perimeter be:

52 cm.

Find the numbers for the perimeter:

For A:

(12 cm + 4 cm) * 2 = 32.

That means A is incorrect.

For B:

(18 + 8) * 2 = 52 cm.

That means B is correct.

For C:

(15 + 9) * 2 = 48 cm.

That means C is incorrect.

Correct choice is B.

Help help math math math

Answers

Hi! Let me help you!

Perpendicular lines have slopes that are opposite reciprocals.This means we take a number, flop it over, and change its sign.In this case, we have a line with a slope of [tex]\displaystyle-\frac{1}{3}[/tex]Flop it over:[tex]\rm{-3}[/tex]Change its sign:3Thus, the slope of the line perpendicular to the given line is 3.Now, what is its equation?Since we know the slope and a point that the line intersects, we can write the line's equation in Point-Slope Form:y-y1=m(x-x1)Where y1 is the y-coordinate of the point, m is the slope, and x1 is the x-coordinate.In this case, y1=2, m=3, and x1=4.Plug in the values:y-2=3(x-4)y-2=3x-12y=3x-12+2y=3x-10

Answer:

y=3x-10

Hope you find it helpful.

~Nature~

Enjoy your day! :)

Answer:what the other guy the said

Step-by-step explanation:

solve
[tex] {x}^{2} + \frac{9x}{2} = \frac{5}{2} [/tex]
pls I. need it Thx​

Answers

Answer:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x=1/2,−5

Decimal Form:

x=0.5,−5

Step-by-step explanation:

branliest

multiply by 2 to remove the denominator
move the five to the other side
do a normal delta(b^2-4ac)

If logb3=1.10, then logb27 = ____.

Answers

Step-by-step explanation:

27 = 3×3×3

logb(m×n) = logb(m) + logb(n)

logb(27) = logb(3×3×3) = logb(3)+logb(3)+logb(3) =

= 3×logb(3) = 3×1.10 = 3.30

Your dinner bill was $58.00. If you leave a 20% tip, how much will the tip be?

Answers

Answer:

Ask yourself what a percentage means. It means out of a hundred.

20 percent is basicallly 20/100
20/100 is 0.2

So 20 percent of 58 is asking-

0.2*58 = ?

Solve and you’ll get

$11.60

Evaluate piecewise functions

Answers

Answer:

Step-by-step explanation:

f(t)=t²-5t , t≤-10

f(-10)=(-10)²-5(-10)=100+50=150

Will give brainliest if helpful

Answers

Answer:

Step 1) P = 600, Decimal format: 0.04, Balance = 624

Step 2) Principle = 624, Balance = 648.96

Step 3) Principle = 648.96, Balance = 674.92

Step-by-step explanation:

Use the formula of A = P(1 + r/n)^n*t

P = 600, r = 4%, n = 1, t = 1 years.

Plug in

A = 600(1 + 0.04/1)^1*1

A = 600 * 1.04^1

A = 600 * 1.04

A = 624

To find the seperate interest

A = P + I

624 = 600 + I

I = 624 - 600

I = 24

Repeat for Step 2

P = 624, r = 4%, n = 1, t = 1

A = 624(1 + 0.04/1)^1*1

A = 624 * 1.04^1

A = 624 * 1.04

A = 648.96

Repeat for interest

648.96 = 624 + I

I = 648.96 - 624

I = 24.96

Repeat for step 3

A = 648.96, r = 4%, n = 1, t = 1

A = 648.96(1 + 0.04/1)^1*1

A = 648.96 * 1.04^1

A = 648.96 * 1.04

A = 674.92

Interest repeat

674.92 = 648.96 + I

I = 674.92 - 648.96

I = 25.96

Sarah is planning to take
aerobics classes at a gym.
Non-members pay $8 per
class, while members pay $4
per class and a $20
membership fee. If Sarah
plans to take 6 aerobics
classes, should she become a
member of the gym? Explain
why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Non members - 8*6 = $48

Members - 20+(4*6) = $46

She should become a member of the gym because she will pay $2 less overall.

Answer:

Sarah should become a member. She would be paying a lot less money and be able to take more classes for cheaper

Step-by-step explanation:

Non member amount for 6 classes-   $8*6= $48

Member amount for 6 classes-  $4*6= 24  ($20 fee) = $44

As you can see above, the cost for 6 classes with a membership is cheaper than without a membership

The temperature was recorded at several times during the day

Answers

Answer:

This doesn't make sense?

Step-by-step explanation:

What is the question?

How can you find the perimeter of the rectangle by only knowing its area

Answers

Answer:

It's not possible to determine the perimeter of a rectangle given only the area. The area of a rectangle depends on two unknowns, the length and the width, so you must be given at least one side of the rectangle along with the area to determine the other side and, thus, the perimeter

Step-by-step explanation:

Answer:

It is not possible to determine the perimeter of a figure given its area.

The 5th grade classes at Brookfield School used 5 identical buses to go on a field trip.

There were a total of 40 seats on each bus.
All of the seats on 4 buses were filled.
The fifth bus had 4/5 of the seats filled.
1/8 of all the passengers on the buses were adults.


How many adults went on the field trip with the 5th grade classes?

Answers

1/8 x 5 = 5/8

5/8 of the passengers were adults :)

Please help me and please dont say something thats not related to my post.

Answers

Answer:

The answer is 6 pounds Which is C

Step-by-step explanation:

Find the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2

Answers

Answer:

y=3x-10

Step-by-step explanation:

When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.

Find the Area please help me

Answers

Step-by-step explanation:

Area for a right angle triangle = 1/2 bh

b = Base

h = Height

A = 1/2×bh

= 1/2 × 2c^3d^2 × 4c

= (2c^3d^2 × 4c) / 2

= c^3d^2 × 2c

= 2c^4 × d^2

You take out a car loan for $7,300 at an interest rate of 4.2% for a duration of 5 years
compounded quarterly. What is the total amount that you will pay back to the bank?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7300\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &5 \end{cases} \\\\\\ A=7300\left(1+\frac{0.042}{4}\right)^{4\cdot 5}\implies A=7300(1.0105)^{20}\implies A\approx 8996[/tex]

12. Suppose n is an integer. Select all statements below that are true: (3 points)

n?+n is always an even integer

nun is always an even integer when n is even

n+n is always an even integer when n is odd

n +n is never an even integer when nis odd

n2+ n is is never an even integer

n2 +n is sometimes an even integer

Answers

The first one and 4 and the last one

What is an equation of the line that passes through the points (-7, -7) and (-7, 4)?
just answer

Answers

Since you requested for only the answer, here you go:

the slope is 0

The y int is none

the equation is

x=-7

Infinite Slope because the slope equals 10/0 and 10/0 = 0 .

If the slope equals zero that’s called Infinite Slope

So the answer is ( Infinite Slope ) .

Thanks.

The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture frame. Use x as your variable.​

Answers

Answer:

P = 2.5x

Step-by-step explanation:

Let the length is x, then the width is 1/4x.

Find the perimeter of rectangle:

P = 2(l + w)P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5x

Complete the inequality 6 1/2 gal 22 1/4

Answers

Answer: x+7>9.

Step-by-step explanation: if that not correct  im gonna beat my brother so bad cuz he told me to write that.

Three pens cost $1.80. How many pens can you buy for $6?

Answers

You can buy 9 pens I hope this helps

Answer: 10

Step-by-step explanation:

3 = $1.80

1 = $0.60

$6 = 10 pens

A normal distribution (X) has a mean of 100 and a standard deviation of 10.

What is the x value that is the third quartile for this distribution?

Round your answer to the first decimal position.

Answers

The x value for the third quartile for this distribution is 106.8

Z score

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where μ is the mean, x = raw score and σ is the standard deviation.

Given μ = 100, σ = 10.

The third quartile correspond with a z score of 0.675, hence:

0.675 = (x - 100) / 10

x = 106.8

The x value for the third quartile for this distribution is 106.8

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Select the expressions that are equivalent to -6c - 2c.

A. -7c + c -2c

B. c • -8

C . -c - 6c

B. -9c

Answers

Answer:

A and B both equal -6c - 2c

Which exponential function matches the table?
х
0
1
2
3
4
f(x)
27
9
3
1
1
3
A. f(x) = 27(3)*
=
OB. f(x) = 27(3)*
OC. f(x) = 3(1)
3*
O D. f(x) = 27(0)
*
C.
х
=

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

[tex]f(x)=27\bigg(\frac{1}{3}\bigg)^x[/tex] matches the table.

• When x = 0

[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^0= 27*1=27[/tex]

•When x = 1

[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^1= 27*\frac{1}{3}=9[/tex]

•When x = 2

[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^2= 27*\frac{1}{9}=3[/tex]

•When x = 3

[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^3= 27*\frac{1}{27}=1[/tex]

•When x = 4

[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^4= 27*\frac{1}{81}=\frac{1}{3}[/tex]

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