Write and solve an equation

Pang drove to his mother's house to drop off her new TV.
He drove at 50 miles per hour there and back, and spent 10 minutes dropping off the TV
The entire journey took him 94 minutes. How far away does his mother live?

Answers

Answer 1

Answer:

70 miles

Step-by-step explanation:

Subtracting ten minutes from the elapsed time 94 minutes tells us that the travel (at constant average speed) took 84 minutes.  We convert 84 minutes to 84/60 hour.

 

distance = rate•time = 50 mi/hr (84/60 hour) = 50(1.4) = 70 miles


Related Questions

expand the decimal number 453682​

Answers

0.453682

= 0.4+0.05+0.003+0.0006+0.00008+0.000002

453682.0

= 400000+50000+3000+600+80+2+0.0

Must click thanks and mark brainliest

Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)

x + y = 0, x = -0, y = 0

0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these

Answers

None of these because they all are 0

yesterday the temperature was 1 degree farenheit. today the temperature is 0 degree farhenheit. what is the change in tempeature from yesterday to today

Answers

Answer:

It is one degrees colder

How do I solve problems like this? I did it last year, but I don't remember how to do it.


Solve for x:


1/2x + 3 = 7


2x + 3 - 4x - 7 = 11


thanks!!

Answers

Answer:

8

Step-by-step explanation:

I do not know the details of the work but if it's a simple "Solve for x" question, you're not quite right.

1/2x+3=7

1/2x= 4

x= 8

1/2x +3 = 7
-3 -3
1/2x=4 divide both sides by 1/2
x=2
2x + 3 -4x -7 =11
-2x -4 =11
+4 +4
-2x=15 divide both by -2
x= -7.5

I need help ASAP!!!Please explain how to solve the problem.

Answers

Answer:

the eqn is

[tex] {(x - 1)}^{2} + {(y - 1)}^{2} = 16[/tex]

Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.

Answers

Answer:

31.5cm²

Step-by-step explanation:

area of a triangle =1/2 b h

b= 7cm

h=9cm

1/2×7×9

= 1/2×63

= 31.5cm²

hypotenuse is unknown so,

c²=a²+b²

c²= 7² + 9²

= 49 + 81

c²= 130

c= 11.4cm

perimeter= 7 +9+11.4

=27.4cm

pls note that no unit was stated

What is the equation of the line that passes through the point (4,-7) and has a
slope of - ?
Answer:
Submit Answer
PLS HELP

Answers

Answer:

[tex]y = -\frac{1}{2} x -5[/tex]

point slope form....

y - (-7) = -1/2(x-4)

y + 7 = -x/2 + 2

2y + 14 = -x + 4

2y = -x -10

y = -1/2 x - 5

Step-by-step explanation:

an apartment in rome is 98 m^2, how many square feet is the apartment?

Please show work

Answers

Answer: 9,604 m Is the answer

Factor the polynomial and explain answer

Answers

Hi there!

[tex]\large\boxed{(n - 8)(n + 5)}[/tex]

n² - 3n - 40

Find two numbers that sum up to -3 and multiply into -40. We get:

-8, 5

Thus:

(n - 8)(n + 5)

-8, 5 hope this helps!

NEED HELP ASAP!!!!!!!

Answers

Letter b because you need to multiply

A. 110

B. 90

C. 135

D. 45

Answers

Answer:

answer is

D. 45. hhhisukwk

round 53642 to its tens place​

Answers

Answer:

53640

Step-by-step explanation:

The answer is 53640……..

You work for a roofing company and must order the correct number of tiles to complete the final side of the roof. It is in the shape of a trapezoid. The numbers of tiles in each row form a sequence. We know we will have 20 rows to complete the job. The first row has ten tiles. Each row has two more tiles than the previous row. Is this sequence arithmetic or geometric?

Answers

Answer:

ljj

Step-by-step explanation:

llk

Yes , the series is an arithmetic sequence of common difference 2

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the number of terms n = 20

The number of tiles in the first row = 10 tiles

The number of tiles in the second row = 2 more than first row

The number of tiles in the second row = 12 tiles

The number of tiles in the third row = 14 tiles

So , the sequence will be , 10 , 12 , 14 , 16 ...

The number of terms n = 20

The first term a = 10

The common difference d = second term - first term

The common difference d = 12 - 10 = 2

The series is an arithmetic sequence and the 20th term of the sequence will be

a₂₀ = a + ( n - 1 )d

a₂₀ = 10 + ( 19 ) 2

a₂₀ = 10 + 38

a₂₀ = 48 tiles

Hence , the series is an arithmetic sequence

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I don’t understand 20,27,29

Answers

Answer:

alright I can help!

for 20: let's first say the equation to figure out if it is a right triangle (the pythagorean theorem). so a^2 + b^2 = c^2 -> 2^2 + 2^2 =3^2 -> 4+4=9 does not equal out so 20 is not a right triangle.

for 27: the equation for area is (height×base)/2 -> (2×4)/2 -> area = 4

for 29: so let's find the circumference first. the equation is 2× pi × r -> 2× pi × 5 -> circumference = 10pi or about 31.42.

so now we can find the area of the circle. the equation is pi × r^2 -> pi × 5^2 -> area of circle= 25pi or about 78.54

hope this helps!! best wishes and best of luck!


Which statement is true regarding the functions on the
graph?
O f(-3) = g(4)
Of(-4) = g(-3)
Of(-3) = g(-3)
Of(-4) = g(-4)

Answers

Answer: C

Step-by-step explanation:

intersection of f(x) and g(x) is x=-3

f(-3)=g(-3)

Answer C

Answer:

The answer is f(-3)=g(-3)

Step-by-step explanation: just took the test hope it helps❤️

Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 2 with
these dice. Be sure to reduce.
[?]

Answers

Answer:

1/36

Step-by-step explanation:

it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}

you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...

The probability of rolling a sum of 2 with these dice is 1/36.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Pair of dice have= {1,2,2,3,3,4}

Now,

The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.

However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.

This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.

Therefore, the probability will be 1/36.

Learn more about probability here;

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what is the answer for 7 to the negitive second power.

Answers

Answer:

the negative just tell you you put a one over the number. Once that's done, the power will be positive, and you can square like normal

Are you asking about  [tex]7^{-2}[/tex]  ?

If so:

A negative in the exponent tells us that we must take the reciprocal of the number, in this case, 7, and then use the exponent like normal:

[tex]7^{-2}[/tex] =

[tex](\frac{1}{7})^{2}[/tex] =

[tex]\frac{1}{49}[/tex],

So our answer is 1/49.

-3z-z

HELP PLZ


Hahsjsjsnsksns snskskd

Answers

Answer:

-4z

Step-by-step explanation:

-3z-z

= -4z

Answer:

-4

Step-by-step explanation:

[tex] - 3z - z[/tex]

[tex] - 3z - 1z[/tex]

[tex]( - 3 - 1)z = - 3 - 1[/tex]

[tex] - (3 - 1)[/tex]

[tex] = - 4z[/tex]

Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Answers

Step-by-step explanation:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it.

If a+b+c = 0 then a3 + b3 + c3 is equal to
a.abc
b.0
c.3abc
d.9abc​

Answers

actually these question is lack of information. but for me i’ll go with b

this math question is about logarithm​

Answers

Answer:

(k+2h)/(k+h)

Step-by-step explanation:

log 6 12 = (log a 12)/(log a 6) ( Log base change property)

log a 12 = log a (3*4) = log a 3 + 2*log a 2 = k+2h

log a 6 = log a (2*3) = log a 3 + log a 2 = k+h

log 6 12 = (k+2h)/(k+h)

Please help me get the answers

Answers

Answer:

1. (4)

2. (2)

Step-by-step explanation:

How many solutions does the system have? y=-5x+1 y=1-5x

Answers

Answer:

infinite solutions

they're the same equation lm‎ao

Answer:

Infinitely many solutions

because it is the correct answer

Find an equation of the line having the given slope and containing the given point m= - 8, (2,5) The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)​

Answers

Answer:

Equation of line is y = -8x + 21

Step-by-step explanation:

Slope, m = -8

General equation of line:

[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]

At point (2, 5), y = 5 and x = 2:

[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]

Therefore:

[tex]{ \sf{y = - 8x + 21}}[/tex]

[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]

Factorise x(6x - 5y) - 4(6x - 5y)^2

Answers

Answer:

(6x-5y)(20y-23x)

Step-by-step explanation:

x(6x - 5y) - 4(6x - 5y)^2

= (6x-5y)(x-4(6x-5y))

= (6x-5y)(x-24x+20y)

= (6x-5y)(20y-23x)

Under his cell phone plan, Christopher pays a flat cost of $52 per month and $5 per
gigabyte. He wants to keep his bill at $75 per month. Which tape diagram could be
used to represent the context if x represents the number of gigabytes of data
Christopher can use while staying within his budget?

Answers

52 + 5x= 75. The answer is c

According to the given information, the tape diagram shown in option C is correct.

Use the concept of inequality defined as:

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

Given that,

The cost per month = $52

The cost per gigabyte = $5

He wants to keep his bill at $75 per month.

According to the given information the inequality expression be:

52 + 5x ≤ 75

Since now let x = 3

The LHS be:

52 + 15  = 67 < 75

Therefore,

The correct combination be:

52 + 5 + 5 + 5 < 75

Hence,

The tape diagram shown in option C is correct.

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plese help asap!!! .................

Answers

Answer:

what do you need to find? Area? perimeter?

Step-by-step explanation:

Algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva.
En promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas
de maíz) su masa es de 106 mg. ¿Cuántos granos de maíz pira se requerirán para obtener una
libra de palomitas de maíz?

Answers

Answer:

Step-by-step explanation:

4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.

Cálculo

Dado que algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva, y en promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas de maíz) su masa es de 106 mg, para determinar cuántos granos de maíz pira se requerirán para obtener una libra de palomitas de maíz se debe realizar el siguiente cálculo:

453592 mg = 1 lb453592 / 106 = X4279.16 = X

Por lo tanto, 4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.

Aprende más sobre cálculo en https://brainly.com/question/2193984

A right circular cone is intersected by a plane that runs parallel to the base of
the cone, as in the picture below. What object is produced from this
intersection?
O A. Parabola
O B. Hyperbola
O C. Circle
O D. Ellipse

Hellppppp pls

Answers

Mark me brainliest. As I am the only one answering. It is hyperbola as the pic if it was a solid would be like a frustum. So yes, hyperbola.

What is the slope of the line containing (-2, 5) and (4,-4)?

O A. 3/2
O B. -2
O C -3/2
O D. 2​

Answers

Answer:

Option C is correct.

Step-by-step explanation:

[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} [/tex][tex] = \frac{ - 4 - (5)}{4 - (2)} [/tex][tex] = \frac{ - 9}{4 + 2} [/tex][tex] = \frac{ - 9}{6} [/tex][tex] = \frac{3( - 3)}{3 - 2} [/tex][tex] = - \frac{3}{2} [/tex]Hope it is helpful....
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