A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?

Answers

Answer 1

Answer:

60

Step-by-step explanation:

time * speed

in seconds 60x *4 = 2.5(60x + 900)

x= 25

25 min * 4cm/2

distance = 60 meters

CHEck!!!

Answer 2

Using a system of linear equations, the distance between points A and B is 6000 cm

Initial speed = 4cm/sec

Time taken = Distance / speed

Let ; distance = d

To time :

t = d / 44t = d ______(1)

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

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Related Questions

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.
Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

F t = 15w - 275
G t = -15w + 275
H t = 275w - 15
J t = -275w + 15

Answers

Answer:

I would think its C

Step-by-step explanation:

Since you are subtracting 15 from 275, it would be 275-15

i am assuming you dont need any help on the variables, so I hope this helps :)

If i am wrong, please let me know :DD

have a nice day, *insert preferred referral here*!!

The function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is G(t) = 275 - 15w and this can be determined by using the given data.

Given :

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.

The following steps can be used in order to determine the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks:

Step 1 - Let the total number of weeks be 'w'.

Step 2 - So, the total amount of water reduced from the tank is:

= 15w

Step 3 - So, the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is given below:

G(t) = 275 - 15w

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/25834626

PLZ HELP...........................................

Answers

Answer:

y=x-2+√3

Step-by-step explanation:

I'm not sure keep it up

HELP HELP HELP HELP HELP HELP
long explanation long please​

Answers

>> Answer

__________

[tex] \: [/tex]

[tex] \frac{x + 2}{x - 1} = ...[/tex]

[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]

[tex] \longmapsto \frac{2}{ - 1} [/tex]

[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]

Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 5 more square feet than the smaller. What is the width of the rectangles?

Answers

Answer:

Both Rectangles have a width of 4

Step-by-step explanation:

5)
4 mm
2 mm
5 mm
3 mm
Perimeter:
Area:

Answers

Answer:

perimeter - 4+2+3+2+5= 16mm

Area -5×4=20mm²

Rewrite the following equation in slope-intercept form.7x − 15y = –18

Answers

Answer:

Y = 7/15x + 6/5

Step-by-step explanation:

7x - 15y = -18

7x = 15y - 18

7x + 18 = 15y

7/15x + 6/5 = y

Hope this helps! Pls give brainliest!

Answer:  y =  ⁷/₁₅ x + ⁶/₅

Step-by-step explanation:

We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation

       7x - 15y = - 18

        7x + 18 = 15y

  ⁷/₁₅ x + ¹⁸/₁₅ = y

∴ the slope-intercept form of 7x − 15y = –18 is y =  ⁷/₁₅ x + ⁶/₅

       

please help I dont understand ​

Answers

I also think that the answer is B too

A coin weighs about 16^-2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.

Answers

1000 of the coins would weigh about 31.2 pounds.
correct me if i’m wrong :)

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Answers

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

c² = 37.21 + 112.36

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

c = 12.2 mi

Therefore, x = 12.2 mi

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi

Find the measure of the missing angle.

Answers

Answer:

a = 34

Step-by-step explanation:

Tell me in the comments if you want an explanation!

Hope This Helps! •v•

A line passes through point A(12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answers

Answer:

the answer is Y = -1.5x + 36

Write 840 g as a fraction of 4 kg.

Answers

Answer:

Step-by-step explanation:

840g equals 0.84kg (1000g = 1kg)

(0.84kg/4kg)*(100%) = 21%

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−4
x=9
Choose the correct answer below.
A.
Neither
B.
Parallel
C.
Perpendicular

Answers

C. Perpendicular. The slope of
y
=

4
y
=
-
4
is
0
0
and the slope of
x
=
9
x
=
9
is undefined. The line with undefined slope is vertical and the line with zero slope is horizontal.

An Investment of $10,000 yields 8% interest compounded quarterly.

What will be the accumulated capital after 6 months?
What will be the accumulated capital after 5 years?

Answers

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

The principal amount of investment = $10,000Interest Rate = 8% = 0.08number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]

[tex]\mathbf{A = 10000(1.02)^2}}[/tex]

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

i.e. when time (t) = 5 years

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]

[tex]\mathbf{A = 10000(1.02)^20}}[/tex]

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

https://brainly.com/question/14295570?referrer=searchResults

What is this answer?

Answers

Answer:

multiply

Step-by-step explanation:

just multiply all of them and then u will get your answer I hope this helped ❤

May I please receive help?

Answers

Answer:

X = 40°

Step-by-step explanation:

The triangle on the left is an Isosceles triangle which means it has 2 equal sides. So, to find the third angle, u have to minus 180 and both the base angles.

180° - 35° - 35°

= 110°

Then, minus 180 with the right triangle base bcs a straight line is 180°.

So,

180 - 110

= 70°

Now u got the right triangle base which is also an isosceles triangle so both angles are 70°

Now to find the third angle, minus 180 to both the base angles

180 - 70 - 70

= 40°

And that's your answer.

i’ll mark brainliest!! i will give a lot of points

Answers

Answer:

Step-by-step explanation:

You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.

The two points are (2,-2) and (-3,-6)

Now construct a line in point intercept form from these two points.

y2 = -2y1 = -6x2 = 2x1 = -3

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

m = (-2 - - 6)/(2 - - 3)

m = 4/5

So far what you know is

y = 0.8 x + b

Use either one of the two points to get b (the y intercept)

x = 2

y = - 2

-2 = 0.8*2 + b

-2 = 1.6 + b             Subtract 1.6 from both sides

-3.6 = b

y = 0.8x - 3.6

3

Which statements about the area of the faces of the rectangular prism are true? Select all that apply.
Two of the faces have an area of 30 ft2.
There is only one face with an area of 48 ft2.
Two of the faces have an area of 40 ft2.
The front face has an area of 30 ft2.
The top face has an area of 40 ft2.

Answers

Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,

Step-by-step explanation: SOrry if im wrong

Answer: A, C, D

Step-by-step explanation:

In triangle XYZ, LX = 45°, LY
= 65°
Find the size of LZ.

PLEASE HELP ILL PAY U $10

Answers

Answer:

Angle Z is 70 degrees

Step-by-step explanation:

The 3 angles of a triangle add up to 180 degrees. Angle x is 45, angle y is 65.

180-45-65 = 180-110 = 70

plsss help me with this:(((​

Answers

Answer:

[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]

7. Find a fraction between 1/7
and
6/7
Please answer quickly.

Answers

Answer:

[tex] \frac{2}{7} [/tex]

[tex] \frac{3}{7} [/tex]

An election is over and a new city council member has been elected. The new councilman received 3 votes for every vote received by his opponent. The new councilman received 2763 votes. How many votes did his opponent receive?

Answers

Answer:

921

Step-by-step explanation:

If he recives 3x amount than his oppenent

than we would divided by 3 from his score to find oppponets score

so....

2763 divided by 3=921

Is -3 the same as 0.3

Answers

No they are not same .

Hope it helps

Answer:

Nope! They are not the same. This is because -3 is a negative whole number. On the other hand, 0.3 converts to 3/10 which is a positive decimal number. Hope this helps. I have attached below a number line showing the two different points (with the given number on each end).

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

In a batch of 8000 clock radios 5% are defective. A sample of 13 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected

Answers

Answer:

Step-by-step explanation:

P(A)=1−P(not A)

We can use this here. Event A is that the clock is defective, so Event (not A) means the clock works.

0.02=1−P(not A)

P(not A)=0.98

Therefore, for all the clocks to pass, the probability is P(not A)11.

Now again, we can use complementary counting.

(probability of all clocks failing) = 1 - (probability of all clocks passing)

Probability of all clocks failing = 1−P(not A)11

can someone please help me with this

Answers

Answer:

45.625cm²

Step-by-step explanation:

To solve this, we need to do the area of the circle - the area of the rectangle:

Area of the circle

a = πr² (r is the radius, half the diameter)

a = π × 4²

a = π × 16

a = 16π or 50.265cm²

Area of the rectangle

a = length × width

a = 5 × 1

a = 5cm²

50.265 - 5 = 45.265

Hope this helps!

which square has more white space one big circle or small many circle explain

Answers

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

plz help. The ratios of M&M's to skittles in the candy dish is 4 to 1. given this ratio, which two sets of candy counts are possible?​​

Answers

The answer is the first and second answers. This is because when you deal with ratios you can get an equal ratio by multiplying both sides of the ratio by the same number. In the first answer both side of the ratio were multiplied by 2. 4 x 2 = 8 and 1 x 2 = 2.

I’ll give brainliest if correct

Function A is represented by the equation y = 3x + 4.
Function B is a linear function that goes through the points shown in the table


A. The rate of change of function A is 3.The rate of change of function B is 10

B. The rate of change of function A is 3. The rate of change of function B is

C. The rate of change of function A is 4.The rate of change of function B is 10.


D. The rate of change of function A is 4. The rate of change of function B is 5.

Answers

Answer:

a

Step-by-step explanation:

Solve for x:
10 = x+25

Answers

Answer:

[tex]\boxed{\sf x=-15}[/tex]

Step-by-step explanation:

[tex]\sf 10=x+25[/tex]

[tex]\sf x+25=10[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

[tex]\sf x+25-25=10-25[/tex][tex]\sf x=-15[/tex]

Answer:

x = -15

Step-by-step explanation:

1)the fish vendor sells 5/7 kilos of bangus for 75.50. if you will buy 2 1/7 kilos of bangus,how much will cost?​

Answers

Answer: 好吧,您看到当您将其乘以 73 然后除以 时,您将获得免费的旁遮普语和免费的,乔·佩珀将在凌晨 3 点拜访您

Step-by-step explanation: 详见附件

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