Sachin can drive 110 more miles before he has to get gas.He has to drive 67 miles to his friends house and 32 miles to his moms.Use rounding to estimate whether he will have enough gas to go to both places

Answers

Answer 1

Rounding to an estimate, Sachin will have enough gas to go to both places before he runs out of gas.

What is an estimate?

An estimate is an equivalent numerical value obtained by rounding off.

The result of an estimate is not an exact value.  The value represents the nearest rounded value.

For instance, 75.9% can be estimated or rounded off to 76%.  32 minutes can be rounded off or approximated to ¹/₂ hour.

Data and Calculations:

Driving distance before getting gas = 110 miles

The distance to his friend's house = 67 miles

The distance to his mom's house = 32 miles

The total distance to be covered on the available gas = 99 miles

Estimated distance to be covered = < 100 miles

Thus, using estimation, Sachin will still have more than 10 miles to drive before he gets gas.

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Related Questions

I need the answer for the bottom question please let me know what it is and how to do these type of questions

Answers

Answer:

Step-by-step explanation:

x -> +1  ->×2

Write 7 thousand, 80 tens, 9 ones in standard form.

Answers

Answer:

7089

Step-by-step explanation: Hope it helped have a good day!

Francis bought 5 holiday gifts that were between $42 and $87. What is a reasonable amount that he paid for the items?

Answers

Answer:

322.5$

Step-by-step explanation:

Francis bought 5 holiday gifts that were between $42 and $87. What is a reasonable amount that he paid for the items?

we find the average between 42 and 87 and multiply by 5

[(42 + 87) : 2] * 5 =

(129 : 2 ) * 5 =

64.5 * 5 = 322.5$

The graph of the absolute value parent function, f(x) = |xl, is stretched
horizontally by a factor of 3 to create the graph of g(x). What function is g(x)

Answers

Answer:

[tex]y = l \frac{1}{3} xl \\ [/tex]

larry has 4 pounds of dirt He gives Curly 1 1/3 pounds of dirt and Moe 2 3/5 of dirt. how much dirt does larry have left.

Answers

Larry is carrying 4 pounds of dirt. Moe receives 2 3/5 pounds of dirt, and Curly receives 1 1/3 pounds. Larry has 0.07 pounds of dirt.

Given that,

Larry is carrying 4 pounds of dirt. Moe receives 2 3/5 pounds of dirt, and Curly receives 1 1/3 pounds.

We have to find how much dirt does Larry have

Larry =4 pounds of dirt

Larry=4 pound of dirt-Moe receives 2 3/5 pounds of dirt- curly receives 1 1/3 pounds of dirt.

Larry=4-2 3/5-1 1/3

Larry=4-13/5-4/3

Larry=4-2.6-1.33

Larry=4-3.93

Larry=0.07

Therefore, Larry has 0.07 pounds of dirt.

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A phone company offers a monthly data plan for $10 a month plan includes 2 MB of data in charge $.10 per megabyte above the 2 MB of data write a piecewise defined function for MX the cost for X megabytes of data used in a month

Answers

Function for MX the cost for X megabytes of data used in a month is -

m(x) = {0.149.8,ifr>2

          {10,ifr≤2

What is a function?

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

• Data exceeding 2 MB is charged at a rate of $0.10 per MB; one-time fee is $10;

The cost per month for x MB of data is:

1. Up to 2 Mb of data utilized; $10

2. Data use of over 2 MB

• m(x) = 10+ 0.1(x-2)= 10+ 0.1x 0.2 0.1x + 9.8 m(x) = 0.1x + 9.8

Thus, the function is:

m(x) =  = {0.1x+9.8, if r>2

              { 10,ifr≤2

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Write the equation of the horizontal line and the vertical line that passes through point (13,−13).

The equation of the horizontal line through point (13,−13) is
.

Question 2
The equation of the vertical line through point (13,−13) is

Answers

Equation of the horizontal line through the given point is: y = -13.

Equation of the vertical line through the given point is: x = 13.

What is the Equation of a Horizontal Line and a Vertical Line?

The equation of a vertical line is expressed as, x = b, where b is the constant representing the point where the line intercepts the x-axis. The line is parallel to the y-axis.

On the other hand, the horizontal line intersects the y-axis at a point, b, and it is parallel to the x-axis. It is written as y = b.

Given the point, (13, -13), we have the following:

Equation of the horizontal line through the given point is: y = -13.

Equation of the vertical line through the given point is: x = 13.

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Lorie ordered a shed to hold her gardening supplies. The shed had a length of 10.25 ft, a width of 14 ft, and a height of seven and one fifth ft.


Determine the volume, V, using the formula V = lwh.

31.45 cubic ft
103.32 cubic ft
983.2 cubic ft
1,033.2 cubic ft

Answers

7 and 1/5 is the same as 7.2
10.25ftx14ftx7.2ft = 1033.2 ft

The volume of the shed is 1033.2 cubic feet.

What is volume?

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

Lorie ordered a shed to hold her gardening supplies.

The shed had a length of 10.25 ft, a width of 14 ft, and a height of seven and one fifth ft.

l = 10.25 feet,

w = 14 feet

h = [tex]7\frac{1}{5}[/tex] = 7.2 feet

And we have the formula to calculate volume,

V = lwh

Substituting all the values,

V = 10.25 x 14 x 7.2

V = 1033.2 cubic feet.

Therefore, the volume is 1033.2 cubic feet.

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En cierta ciudad, el costo del servicio de agua potable es de $ 62.44, y por cada m³ de consumo se paga
$ 6.35, como se muestra en la tabla.
OC) T=7
OD) T= 6.35 +
¿Con cuál expresión algebraica se calcula correctamente el total a pagar (7) a partir del consumo (CJ?
OA) T=6.35 + 62.44C
OB) T-6.35C+ 62.44
C
6.35+62.44
C
Consumo en m³ (C)
C
62.44
0
1
3
5
Total a pagar
en pesos (7)
$62.44
$68.79
$81.49
$94.19

Answers

In a certain city, if the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed, then the algebraic expression that describes the total to be paid (T) on a consumption of (C) m³ of water will be [T = (6.35C + 62.44)].

As per the question statement, in a certain city, the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed.

We are required to determine an algebraic expression that can describe the total amount to be paid (T) for a consumption of (C) m³ of drinking water.

Here, if we suppose that 1 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*1)+62.44][/tex]

Similarly, if we suppose that 2 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*2)+62.44][/tex]

Thus, on consumption of "C" m³ of drinking water is consumed, total amount to be paid [tex][T=(6.35*C)+62.44][/tex]

                               [tex]or, [T=(6.35C+62.44)][/tex].

Algebraic Expressions: These are mathematical statements which consists of constant integers, variables and arithmetic operations between them.

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The sum of two numbers is 88. If one number is 4 more than half the other number, determine the two numbers by setting up a linear equation.

a: 44
b: 56
c: 61.3
d: 126
e: 138
f: 176

Answers

Answer:

b: 56

Step-by-step explanation:

x + y = 88

x is 4 more than half the other number.

half of y is 1/2y

4 more than that is 1/2y + 4

substitute

1/2y + 4 + y = 88

solve for y

3/2y = 84

y = 168 / 3 = 56

solve for x

x = 88 - 56 = 32

not sure where you would answer 32 from what's given :)

Alguien sabe resolver este problema de números complejos??, Urge pliss
3cis(5π/6)

Answers

El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

¿Cómo cambiar la notación compacta de un número complejo a la notación rectangular?

El sistema de notación conocido como "cis" resume los números complejos en función de su magnitud y dirección sin necesidad de usar funciones trascendentes. En esta pregunta debemos transformar un número complejo en notación cis a notación rectangular, cuya formula es mostrada abajo:

r · cis θ = r · cos θ + i r · sin θ

Donde:

r - Magnitud del número complejo.θ - Dirección del número complejo.

En consecuencia, tenemos que el número complejo en notación cis es igual a:

z = 3 · cos (5π / 6) + i 3 · sin (5π / 6)

z = - 3√3 / 2 + i 3 / 2

El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

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The product of Chrissy's height and 3 is 57.
Use the variable c to represent Chrissy's height.

Answers

Chrissy’s height =

c x 3 = 57

(You can solve c = 57/3 = 19)

Two numbers, x and y, are related as described in this statement:
x to the power of 3 is equal to y to the power of 5.
Which equation is equivalent to the statement?

Answers

Answer:

Step-by-step explanation:

his statement:

x to the power of 3 is equal to y to the power of 5.

a cylinder is 9 in tall 5 in in diameter what is the area​

Answers

The total surface are of the cylinder is approximately 180.64 square inches.

One of the most fundamental curvilinear geometric shapes, a cylinder is a three-dimensional solid. It has been regarded geometrically as a prism whose base is a circle.

The properties of a cylinder with radius r and height h are:

The total surface area is 2πr(r+h)The curved surface is 2πrhThe volume of a cylinder is given by πr²h

Given dimension of the cylinder are:

Diameter=5 inches and height=9inches

We know that radius=diameter/2

Therefore radius of the cylinder is 5/2=2.5 inches

Now the total surface are of the cylinder

=2πr(r+h)

=2π×2.5×(2.5+9)

=2π×28.75

=57.5π square inches

=180.6415...

≈180.64 square inches

The total surface area of the cylinder is approximately 180.64 square inches.

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HELP ILL MARK AS BRAINLIEST
Which division problem does the model below show?

Answers

Answer: should be C

Step-by-step explanation:

Stephen has logged 220 minutes of game play today. His dashboard says that today's game time represents 11% of his game
play for the week. How many minutes has he played this week? List your answer as a whole number.

Answers

According to the percentage, Stephen played this week is 24.2 minutes.

According to the statement

We have to find that the number of minutes has he played this week.

So, For this purpose, we know that the

A percentage is a number or ratio expressed as a fraction of 100.

From the given information:

Stephen has logged 220 minutes of game play today. His dashboard says that today's game time represents 11% of his game play for the week.

Then

Time of logged of game play = 220 minutes

Today's game time = 11% of his game play

Then

The minutes he played game in a week = 11% of 220 minutes

The minutes he played game in a week = 11/100*220

The minutes he played game in a week = 0.11*220

The minutes he played game in a week = 24.2 minutes.

So, According to the percentage, Stephen played this week is 24.2 minutes.

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Please I need to knowing

Answers

Answer:

46

Step-by-step explanation:

75 degrees is the entire angle and you need to find out what h is, you need to subtract 29 from 75 and you will get h.

H=46.

a business company distributed bonus to its 24 employees from the net profit of rs 16,48000. if every employee received rs 8,240.what was the bonus percent?​

Answers

it is called business company

9y - 2 < 13 and 3y - > -29

Answers

Hence , the shading of the linear inequalities 9y - 2 < 13 and 3y - > -29 is given below.

An difference compares 2 values, showing if one is a smaller amount than, larger than, or just not adequate another worth.a ≠ b says that a isn't adequate ba < b says that a is a smaller amount than ba > b says that a is larger than bIn math, a graph may be outlined as a picturing or a diagram that represents knowledge or values in AN organized manner.

The graph of the equation 9y - 2 < 13  equation (1) is represented by green colour and graph of the equation  3y - > -29  equation (2) is represented by yellow colour .

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The complete question is given below :

Shade the graph of 9y - 2 < 13 and 3y - > -29 .

A hawk was 2 feet above the surface of the water. The hawk then flew down 5 feet to catch a fish. How many feet
below the surface of the water was the hawk?

Answers

Answer:

3 feet below the surface

Step-by-step explanation:

2 - 5 = -3

NEED HELP ASAP DUE TODAY 10 POINTSSSS


Answer the following question for the expression.

5x - 3y + 7z + 1.

A) How many terms does this expression have?
_____________________________________

B) What is the constant of this expression?
_____________________________________

C) What is the second term in the expression?
_____________________________________

D) Whats the coefficient of the third term?
_____________________________________

Answers

A. 4 terms

B. 1

C. -3y

D. 7

hope you get a good grade

What is the area, in square meters, of the trapezoid below?
14.6 m
5.2 m
7m

Answers

The area, in square meters, of the trapezoid is 56.16 m²

A trapezoid with height 5.2m and parallel base is 14.6m and 7m.

We have to find the area of area of this trapezoid.

Area of trapezoid =  1/2(sum of parallel sides)(height)

                             = 1/2(14.6+7)(5.2)

                             = 1/2(21.6)(5.2)

                             = 1/2(112.32)

                             = 56.16 m²

A quadrilateral with as a minimum one pair of parallel aspects is known as, in American and Canadian English, a trapezoid (/ˈtræpəzɔɪd/). In British and other forms of English, a (North American) trapezoid is known as a trapezium (/trəˈpiːziəm/). The transposition of these two terms become a result of an blunders in Charles Hutton's mathematical dictionary.

A trapezoid is always a convex quadrilateral in Euclidean geometry. The parallel aspects are known as the bases of the trapezoid. the opposite  facets are known as the legs (or the lateral aspects) if they're no longer parallel; otherwise, the trapezoid is a parallelogram, and there are  pairs of bases)

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A wireless keyboard is 10/12 foot long. The area of the wireless keyboard is 5/24 square foot. What is the width of the wireless keyboard, in feet? Enter the answer as a fraction in lowest​

Answers

Answer:

1/4 ft

Step-by-step explanation:

A = l x w

5/24 = 10/12 x w

Solve for w

5/24 divided by 10/12 = w

Take inverse of 10/12 and multiply

5/24 times 12/10

1/4

At the beginning of every soccer practice, Coach Alex has the players warm up and stretch. They do 3 minutes of warm-up exercises for every 2 minutes of stretching.

Answers

Answer:

See attached table and graph!

Step-by-step explanation:

Brainly says there was "inappropriate language" in my explanation ( I assure you, there isn't!) So I attached it as an an image below! Hope this helps!

A chef plans the menu for a particular reception for 322 guests. The appetizer is a 6-ounce serving of tomato juice for each guest. How many 46-ounce cans of tomato juice are ordered for this reception?

Answers

The number of 46-ounce cans of tomato juice to be ordered for the reception is 42.

How to find the amount of tomatoes ordered in ounces?

A chef plans the menu for a particular reception for 322 guests.

The appetizer is a 6-ounce serving of tomato juice for each guest.

He has 322 guest to cater for.

Each of his guest will get an appetizer of 6 -ounce serving of tomatoes juice.

Therefore,

1 guest = 6 ounce of tomato serving

322 guest = ?

cross multiply

amount of tomato serving required = 322 × 6

amount of tomato serving required = 1932 ounces

Therefore,

the number of 46-ounce cans tomatoes juice ordered = 1932 / 46

the number of 46-ounce cans tomatoes juice ordered = 42

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please help


please hury

Answers

Answer:

(2,4)

Step-by-step explanation:

The range is the second number of each set. Take all of those and you get 2,4,2,4. You only need one of each number so you end up with (2,4).

Conner has 4 game card packets and each has 3 cards. If he gives 3 to
Kennedy, what fraction is left?
3/4 1/4 1/2 or 5/4

Answers

Let’s note what we know first:

• Conner has 4 game card packets
• He gives 3 of these packets to Kennedy

If each game card packet has 3 cards, that would mean Conner has 12 cards. He then gives 3 of these packets to Kennedy. Let’s set up an equation considering each packet has 3 cards:

3 cards each with 4 packets = 12 total cards

Kennedy receives 3 packets, so:

3 packets • 3 cards each = 9 cards

12 - 9 = 3

Conner has 3 cards left out of the 12 he originally had. This can be represented through the following fraction:

3/12

To find out what fraction he has left, let’s divide both numbers by 3:

3 / 3 = 1

12 / 3 = 4

After giving Kennedy 3 card packets, Conner has 1/4 of his original cards left.

Answer Recap: Conner has 1/4 of his original cards left.

.Tim weighs twice as much as Jim. Jim weighs 50 pounds less than
George. Rick weighs 10 pounds more than George. If Rick weighs 200 pounds, how
much does Tim weigh?

Answers

Answer: Tim weighs 280 pounds

Step-by-step explanation:

Rick weighs 200 pounds

George weighs (200-10)=190 pounds

Jim weighs (190-50)=140 pounds

Tim weighs 140*2=280 pounds

What is the area of the circle? (Pic below)

Answers

The area of the circle is 254. 502 square units

How to determine the area

The formula for area of a circle is expressed as;

Area = πr²

Where;

r is the radius of a circle

Note that the radius of a circle with an inscribed triangle is expressed as;

Radius = ABC/4A

Where;

A, B and C are the sides of the inscribed triangle

Radius = 6 × 6 × 6 / 4(6)

Radius = 216/ 24

Radius = 9 units

Now, substitute the value of the radius into the formula

Area = 3. 142 × (9)²

Area = 3. 142 × 81

Area = 254. 502 square units

Thus, the area of the circle is 254. 502 square units

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Solce by quadratic formular 5x^2+3_2=0

Answers

Answer:

(5x-2)(x+1)

means that x = -1 or x =[tex] \frac{2 }{5} [/tex]

Step-by-step explanation:

the quadratic formula is

[tex] \frac{ -b ± \sqrt{(b)^{2} - 4ac } }{2a} [/tex]

where a = 5

b = 3

c = -2

substitute with the equation above this gives you the answer

hope this helps

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