Two trucks leave a warehouse at the same​ time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by miles per hour. After ​hours, they are miles apart. What are the rates of the​ trucks? Use the table below to organize your work

Answers

Answer 1

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour


Related Questions

I would like some help pleas ​

Answers

Answer:

Step-by-step explanation:

Student who did not play Volleyball  = Students who play only hockey + students who don't play any game

= 5 + 3 = 8

Students who play hockey only = 5

Mercury is at a distance of 46213267 km from the sun. If the value of this area is rounded off to the nearest one hundred, then the result would be .

Answers

Answer:

46,213,300 km

Step-by-step explanation:

46,213,267

in the above number ;

7 = units

6 = tens

2 = hundred

3 = thousand

1 = ten thousand

2 = hundred thousand

6 = million

4 = 10 million

to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero

because  6 is greater than 5, add one to the hundred value

= 46,213,300 km

8u^8+(-21u^8)
Helpppp quick

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Solve for R.

3/4r-3 1/4=49/16

Answers

Answer:

101/12

Step-by-step explanation:

3/4r-3 1/4=49/16

3 1/4=13/4

3/4r-13/4=49/16

3/4r=49/16+13/4

3/4r=49/16+52/16

3/4r=101/16

r=(101/16)/(3/4)

r=(101/16)(4/3)

r=101/12

Ophelia spins each of the three shown spinners once. What is the
probability that the first spinner will land on A, the second on 4, and the
third on Green? Enter your answer as a fraction in simplest form. Use/to
write your fraction,

Answers

Answer:

jaja

yo buscando y vos preguntando

Step-by-step explanation:

Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Any feature increases when y-value should likewise be increased for the growth of x-values

Each table will be checked

table-1:

That we can see

-3, -2,-1 , 0, 1,2 x increase

And also -6,-3,-1,1,3,6 y increase 

It increases, thus,

table-2:

That we can see

-3, -2,-1 , 0, 1,2 x increase

But between -2 and 1, it's asking

The y-values of -4,-1,1,4..... are increasing

This increases, thus,

table-3:

Which we can see

-3, -2,-1 , 0, 1,2 x increase

But y changes between -3 and -5 .....this decreases

This does not increase, thus,

table-4:

we can find that the x increase to -3, -2, -1, 0, 1,2 however y rises from 7 to 1.....

This does not increase, thus,

Answer:

B

Step-by-step explanation:

Graph the following system of inequalities.
y ≤2x + 1
y < -1 - 1

Answers

Answer:

Step-by-step explanation:

the first one is the first picture

Quadrilateral ABCD was transformed to create A'B'C'D'. If A'B'C'D' is reflected over the y-axis, what will be the coordinates of D''?

A.(-2, -3)
B.(-2, 3)
C.(2, -3)
D.(2, 3)

Answers

Answer:

well it would reflect over the y axis and make the x cords all negative making D(-2,-3) so A is the answer

what is a an expression that contains at least one variable

Answers

Answer:

An algebraic expression is a type of expression that contains a variable or variables.

an algebraic expression can contain multiple expressions

Hey there! Can someone tell me the answer please? Will give brainliest.

Answers

Answer:

24 edges, 24 vertices, 8 faces - For that weird Cylender thing.

Step-by-step explanation:

There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.

Answer:

There are 6 faces

One up one down one front one backs one right one left

12 edges and 8 ventricles

In a specific arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Answers

Step-by-step explanation:

everything can be found in the picture

The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a +(n - 1)d

where

a is the first termd is the common differencen is the number of terms

If -4 is the first term and 10 is the third term, then;

a = -4

a + d = 10

d = 10 - (-4)

d = 14

Determine the 157th term

T157 = -4 + (157 - 1)(14)

T157 = -4 + (156*14)

T157 = 2180

Hence the 157th term of the sequence is 2180

Learn more on sequence here: https://brainly.com/question/6561461

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6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?​

Answers

Answer:

-0.0390625

Step-by-step explanation:

each is cut in half

so we do this

20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625

Q. Find the missing side

Answers

Answer:

What missing side? You're missing a picture.

(-3) x (+5)

What’s the answer to that? Someone help me please

Answers

Answer:

[tex] - 15[/tex]

Step-by-step explanation:

We know that,

[tex]( - ) \times ( + ) = (- )[/tex]

So,

[tex] (- 3) \times ( + 5) = - 15[/tex]

hope this helps you.

Have a nice day!

Answer:

-15

Step-by-step explanation:

(-3)*(+5) = -15

which shape has 74 sides

Answers

Answer:

Heptacontakaitetragon

I'm not sure though 'cause it ain't a shape, but that's the term for a shape that has 74 sides.

i think it is isogonal

PLS HELP!! WILL GIVE BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

take lcm of (2x-1)(x+2)

lcm=(2x-1)(x+2)

=2(x+2)-1(2x-1)/(2x-1)(x+2)

=(2x+4)-(2x-1)/(2x(x+2)-1(x+2)

=2x+4-2x+1/2x^2+4x-x+2

=4+1/2x^2+3x+3

=5/2x^2+3x+3

If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary? If so, can you determine the angles? Explain how you know ASAP

Answers

Answer:

Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.

Step-by-step explanation:

Answer:

90 + 90 = 180, 45 + 45 = 90

Step-by-step explanation:

Supplementary angles add up to 180 and to be vertical angles they need to be equal to each other so 2x = 180

x = 90

Hence both angles will be equal to 90

Complementary angles add up to 90 and as previously stated, to be vertical angles they need to be equal to each other so 2x = 90

x = 45

Hence both angles equal to 45

Hope this helped!

Find the value of x. please help

Answers

Answer:

x= 15

Step-by-step explanation:

Since this is an isosceles triangle, the other angle is also 5x-6

The sum of the angles of a triangle is 180

42+ 5x-6 + 5x-6 = 180

Combine like terms

10x+30 =180

Subtract 30 from each side

10x+30-30 = 180-30

10x = 150

Divide by 10

10x/10 = 150/10

x= 15

* is = to 15 being that the triangle is = to 180

Need answer asapppp I have 10 min only!!!

Answers

You forgot to put the picture of the queso

Describe the behavior of the function h around its vertical asymptote at x=-6.

Answers

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

Given that f(x) = 9 − x and g(x) = x^2
Calculate

a) f(3)
b) g(−4)

Answers

Answer:

a) f(3) =6

b) g(-4) =16

Step-by-step explanation:

answer to a, substitute X with 3. which will be f(3)=9-3

=6

answer to b, substitute X with -4, which will be g(-4)=(-4)^2

=16

how many solutions -(3 - 6b) = 6b + 5




Answers

Answer:

There are no solutions

Steps :

First we expand it

[tex]-3+6b=6b+5[/tex]

Then we add 3 to both sides

[tex]-3+6b+3=6b+5+3[/tex]

Then we simplify

[tex]6b=6b+8[/tex]

Then we subtract 6b from both sides

[tex]6b-6b=6b+8-6b[/tex]

Simplify

[tex]0=8[/tex]

No solutions !

Question 15 of 25 Given any triangle ABC with corresponding side lengths a, b, and c, the law of cosines states: 6. C A O A. b^2=a^2 +c^2 - 2 ac cos(B) so O B. b^2= a^2 +c^2 - 2bccos(A) O C. b2 = a^2 -c^2 -25ccos(5) OD. b^2=a^2 -c^2 -2bccos(C)​

Answers

looking at the formula, and the given answers, they want b as the subject, so by the formula the answer is A

The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

What is the law of cosine?

Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is the opposite side to angle A)

We have been Given any triangle ABC with corresponding side lengths a, b, and c.

In the given triangle ABC, the sides are;

BC = a, AB = b and AC = c

Now we know as per the law of cosines for all three sides of the triangle;

c² = a² + b² - 2ab cosC

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosC

Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Learn more about the law of cosines here:

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For a certain arithmetic sequence, [tex]a_{3} =14, a_{10}=98[/tex]. Write the first three terms of the sequence.

I'll mark you as brainliest *only if you answer*. Thanks <3

Answers

Answer:

An arithmetic sequence is defined by:

[tex]a_n = a_{n-1} + d[/tex]

Here, we know that:

[tex]a_3 = 14\\a_{10} = 98[/tex]

Using the recursive relation, we can write:

[tex]a_{10} = 98 = a_9 + d[/tex]

And can keep applying the recursive relation, so we will have:

[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]

And so on, until we get to a known term:

[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]

[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]

Then we can solve:

98 = 14 + 7*d

for d:

98 - 14 = 7*d

84 = 7*d

84/7 = d = 12

Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:

Here, we can rewrite the recursive relation as:

[tex]a_{n-1} = a_n - d[/tex]

Then:

[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]

[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]

[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]

Then the first 3 terms are:

-22, -10, 2

Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)

Answers

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

find the equation of the line that is parallel to y= -7x+2 and contains the point (-5,32)​

Answers

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

What is the value of x?
1000
+
300
1000
O A 160°
o
B 100°
Ос
800
10
OD
50°

Answers

Answer:

x = 50

Step-by-step explanation:

The unknown arc is

360 -30-100-100 =

130

We can find the value of x

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

x = 1/2 ( 130 -30)

x = 1/2 (100)

x = 50

Simplify. x 0 yz -3


Simplify. x 0 yz -3

Answers

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]

Step-by-step explanation:

x⁰yz-³

Any non expression raised to power of 0 equals 1.

[tex] \small \sf \: 1yz {}^{ - 3} [/tex]

Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]

1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]

[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]

which ordered pair is a solution of the equation 5x-3y=-12

A) (-3,-1)
B) (-1,-2)
C) (-1,-3)
D) (-2,-1)

PLEASE EXPLAIN ANSWER

Answers

I have a bike ride home with my mom so I’m not going back to work now I’m l
The answer is A, (-3,-1), because when you plug this into the equation -3=x-value and -1=y-value, so the equation would look like 5(-3)-3(-1)=-12, and it does equal -12 so it is correct.

Find the midpoint of the segment with endpoints:
(9,8) and (3,5).



pls pls pls pls help!!!! for geometry final

Answers

Answer:

Step-by-step explanation:

here x1=9  y1=8  x2=3  y2=5

midpoint=(x2+x1/2   ,   y2+y1/2)

=(3+9/2  ,    5+8/2)

=(12/2    ,     13/2)

=(6   ,    13/2)            

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