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 2.5 cm/sec, and increased travel time by 15 minutes. What is the distance between point A and point B?
Using the speed - time relation, the distance between point A and B is 6000 cm
Recall :
Distance = speed × time Time = distance / speedLet ; the time taken = t ; distance = d
To trip :
d = 4t ----(1)Fro trip :
t is in seconds ; 15 minutes = (15×60) = 900 secondsd = 2.5(t + 900)
d = 2.5t + 2250 - - - - - (2)
Equating (1) and (2)
4t = 2.5t + 2250
Collect like terms
4t - 2.5t = 2250
1.5t = 2250
t = 2250 / 1.5
t = 1500 seconds
Hence, distance = 4(t) = 4(1500) = 6000 cm
Therefore, the distance between the points is 6000 cm
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PERIOD
DATE
NAME
Practice
Solving Equations with the Variable on Each Side
Justify each step.
1. 4k - 3 = 2k + 5
4k-3-2k = 2k +5 - 2k
2k-3 = 5
2k - 3 + 3 = 5 + 3
2k = 8
2k 8
N100
2
k=4
Answer:
K = 4
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can i pls have brainlist (crown)☺️)
Answer:
The answer is 4 or N100. Have an good day.
10. If you can travel 97 miles in 30 minutes, how many mileScan you
travel at the same rate in 8 hours?
an algebraic expression that represents the product of r cubed and one hundred seven.
Answer:
107r³
Step-by-step explanation:
What algebraic rule did you use to preform this
translation????
Answer:
In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a
new shape (called the image). A translation is a type of transformation that moves each point in a figure the same
distance in the same direction. Translations are often referred to as slides. You can describe a translation using words
like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.
1. One notation looks like T(3, 5). This notation tells you to add 3 to the x values and add 5 to the y values.
2. The second notation is a mapping rule of the form (x, y) → (x−7, y+5). This notation tells you that the x and
y coordinates are translated to x−7 and y+5.
Step-by-step explanation:
8(x-2)+9<3(x-1)+5x
a. x<-7
b. x<-3
c. no solution
d. all real numbers
thanks!!
Answer:
d
Step-by-step explanation:
Guys pls help me!!!!!
Hello, I need help with this problem.
Answer:
1/5
Step-by-step explanation:
[tex]\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\[/tex]
lim x->4 plug in x=4
1/(x+1) = 1/(4+1) = 1/5
A cruise ship travels 176 miles in 8 hours.
Speed = StartFraction distance Over time EndFraction
What is the ship’s speed?
2 miles per hour
22 miles per hour
168 miles per hour
1,408 miles per hour
Answer:
22mph
Step-by-step explanation:
Answer:
22 miles per hour
Divide 176 miles by 8 hours
simplify simplify simplify
Answer:
here is the answer
Step-by-step explanation:
What is 43.982 rounded to the nearest hundredth
Answer:
The answer is 42.98
Step-by-step explanation:
you can search up rounding charts online and that would help you a lot! After the decimal, it goes by tens, hundreds, thousand, and so on.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Directions: Convert the equations from standard form to slope intercept form.
Answer:
Write in slope-intercept form, [tex]y=mx+b[/tex].
5. [tex]y=2x+7[/tex]
6. [tex]y=-\frac{5}{3} x+4[/tex]
7. [tex]y=x-1[/tex]
8. [tex]y=\frac{1}{3}x +5[/tex]
9. [tex]y=\frac{4}{5}x -2[/tex]
10. [tex]y=-\frac{7}{3}x + 6[/tex]
what is the sum of x + y when x = -4/5 and y = 1/3
Answer:
-7/15
Step-by-step explanation:
To get the sum of two fractions, you need to make their denominators the same, ideally the least common denominator, or LCD.
So, first off, substitute x + y with the values of the variables to get -4/5 + 1/3. Next, find the LCD of the fractions. In this case, the denominators are both prime, so the LCD is the product of the denominators. Because 3 * 5 = 15), both denominators should end up being 15. Next, multiply both parts of both fractions by the number needed to get to that LCD. In this case, you're multiplying -4/5 by 3 on the top and bottom, and 1/3 by 5 on the top and bottom. This should get you an expression of -12/15 + 5/15. Next, add away! (-12 + 5)/15 = -7/15, and you're done!
A group of people were asked if they had run a red light in the last year. 385 responded "yes", and 472 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
hurry plssssss
Answer:
44.9%
Step-by-step explanation:
you can find the probability by dividing the total number of people by the number of people who have run a red light:
385/857
simplify into a decimal:
0.449
convert into a percent to get your answer:
44.9%
Write=1\frac{5}{7}[as an improper fraction.
[tex]\\ \sf\longmapsto 1\dfrac{5}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7(1)+5}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7+5}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{12}{7}[/tex]
what do you do when you simplest form and have a left over number. Using the word "to"
Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula. !! PLS HELP !!
Answer:
Discriminant review
Discriminant reviewThe discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
Help me please this is due please help
Answer:
18
Step-by-step explanation:
Divide the total weight of dough by the amount required for 1 pizza
20 [tex]\frac{1}{4}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex] ( change mixed numbers to improper fractions )
= [tex]\frac{81}{4}[/tex] ÷ [tex]\frac{9}{8}[/tex]
• leave first fraction , change ÷ to × , turn second fraction ' upside down '
= [tex]\frac{81}{4}[/tex] × [tex]\frac{8}{9}[/tex] ( cancel 81 and 9 by 9 )
= [tex]\frac{9}{4}[/tex] × 8 ( cancel 4 and 8 by 4 )
= 9 × 2
= 18 pizza's
can someone pls explain why the answer to this problem is a.
Answer:
WHAT IS THE QUESTION HOW DO YOU EXPECT PEOPLE TO ANSWER IF WE DONT KNOW THE PROBLEM WE ARE NOT MIND READERS
Step-by-step explanation:
YOU LITERALLY WROTE EXPLAIN WHY THE ANSWER TO THIS PROBLEM IS A. WHERE IS THE PROBLEM
Solve for x
See picture for problem! Please and thank you!!
Answer:
x = 10°
Step-by-step explanation:
m∠DCR is an exterior angle of the triangle DCE
Solving For Exterior Angles:To find the value of an exterior angle, we must sum up the two opposite (corresponding) angles inside the triangle
In this case, 2x + 7 and 26 are the corresponding angles
Solve:6x - 7 = 2x + 7 + 26
4x - 7 = 7 + 26
4x = 14 + 26
4x = 40
x = 10°
Your answer : x = 10°-Chetan K
2 sss, aas, sas, or not enough information
Answer:
ASA
Step-by-step explanation:
there is one more angle, which is the vertical opposite.
Answer Here
Why is 0.0123 x 107
not in the correct Scientific
Notation format?
becauseStep-by-step explanation:
HELP PLEASE solve for d
d= 1- 4bh
Step-by-step explanation:
- 8b = 2d - 2/h
Multiply both sides of the equation by h.
- 8bh = 2d - 2
Swap sides so that all variable terms are on the left-hand side.
2d - 2 = - 8bh
Add 2 to both sides.
2d = - 8bh + 2
The equation is in standard form.
2d = 2 - 8bh
Divide both sides by 2.
2d/2 = 2 - 8bh/2
Dividing by 2 undoes the multiplication by 2.
d = 2 - 8bh/2
Divide -8bh + 2 by 2.
Therefore: d = 1 - 4bh
This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
Two numbers are given.
64 and 80
What is the greatest common factor of these two numbers?
Answer:
16
Step-by-step explanation:
The greatest common factor is the greatest integer which divides evenly into both numbers. One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.
We start with 64.
Its divisors are 1, 2, 4, 8, 16, 32, 64. The biggest of those numbers which divides evenly into 80 is 16.
Thus, the greatest common factor is 16.
pls give the steps and the reasons
Answer:
m<ADB = m<DBC
because they're alternate interior angles.
m<ABD = m<BDC
because they're alternate interior angles.
DC = AB, opposite sides.
AD = BC, opposite sides.
m<ADB = m<ABD, adjacent angles.
m<BDC = m<DBC, adjacent angles.
please help asap, this is for a math project! (ill give brainliest)
Write 7/571 as a mixed number!
Answer:
7
Step-by-step explanation:
jh
Answer:
7+32/77
Step-by-step explanation:
Can someone pls help meee
_________
[tex] \: [/tex]
[tex] \triangle \sf \: abc = \triangle \sf \: xyz[/tex]
Soo :
Ab = Xy Bc = Yz Ca = ZxTriangle in the picture.
3x(5+4)=7
what dose that =
I really need help with this question :)
Answer:
here you go.
Step-by-step explanation:
The diagonal is the hypotenuse of a rectangular triangle.
So:
d2=l2+w2
132=169=(x+7)2+x2=x2+14x+49+x2→
2x2+14x−120=0→x2+7x−60=0
A simple quadratic equation resolving into:
(x+12)(x−5)=0→x=−12orx=5
Only the positive solution is useable so:
w=5andl=12
brainlest if you answer right.