A new truck can travel 350 miles on 25 gallons of gas. How far can it travel on 60 gallons of gas? What is the car's gas milage?

6th grade middle school

Answers

Answer 1

ANSWER:

The MPG is 1/14. The car can travel 840 miles with 60 gal. of gas.

Related Questions

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

x-intercept: (4, 0), (-5, 0)

y-intercept: (0, -20)

Explanation:

x² + x - 20x² + 5x -4x -20x(x+ 5) -4(x +5)(x-4)(x + 5)

Their x-intercept:    (at x intercept, y will be 0)

(x-4)(x + 5) = 0x = 4, x = -5

Their y intercept:   (at y intercept, x will be 0)

y = (x-4)(x + 5)y = (0-4)(0 + 5)y = -20

Answer:

x-intercepts : (4, 0) and (-5, 0)y-intercept : (0, -20)

Step-by-step explanation:

Finding x-intercept(s)

The x-intercept's y-coordinate will be 0⇒ 0 = (x - 4)(x + 5)⇒ x = 4 and x = -5The x-intercepts are : (4, 0) and (-5, 0)

Finding y-intercept

The y-intercept's x-coordinate will be 0⇒ y = 0² + 0 - 20⇒ y = -20The y-intercept will be (0, -20)

Simplify the expression. Write your answer as a power.
64⁴/64³
The simplified expression is

Answers

Answer:

[tex]64^1\:\text{or}\:64[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{64^4}{64^3}=64^{4-3}=64^1=64[/tex]

Step-by-step explanation:

64^4/64^3= 64^(4-3)= 64^1= 64

MULTIPLE CHOICE QUESTION
Which is the greater number
0.23 or 0.111

Answers

Answer:

0.23

Step-by-step explanation:

0.23 - 0.111 = 0.119

Meaning that it's greater in value.

Answer:

0.23

Step-by-step explanation:

When you look in the tenths place 2 is greater than one :) hope this helps!!

Cuanto es El 15% de1.340 es

Answers

Hey there!


15% * 1.340

= 15/100 * 1.340

= 0.15 * 1.340

= .15 * 1.34

= 0.201


Therefore, the answer should be: 0.201

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

PLEASE HURRY!!
What is the slope of the line that passes through (1, 4) and (-3, -3)?
A. -7/4
B. 7/4
C. -4/7
D. 4/7

Answers

Answer:

The slope of the line is option B

please explain every step

Answers

Answer:

761680

Explanation:

[tex]\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}[/tex]

Identify the following's:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

[tex]\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}[/tex]

===========================

Solving Steps:

[tex]\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}[/tex]

[tex]\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}[/tex]

[tex]\rightarrow \sf 761679.5808[/tex]

[tex]\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)[/tex]

Identify the equations of ellipses whose major axis lengths are twice their minor axis lengths.

Answers

The equations of ellipses whose major axis lengths are twice their minor axis lengths are

(x - h)²/4b² + (y - k)²/b² = 1 and (x - h)²/b² + (y - k)²/4b² = 1

To answer the question, we need to know what an ellipse is.

What is an ellipse?

An ellipse is part of a conic section.

The equation of the ellipse

The equation of an ellipse centered at (h,k) with major axis on the x-axis and major axis length, 2a and minor axis length 2b is

(x - h)²/a² + (y - k)²/b = 1

The equation of ellipse with major axis x-axis

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the x-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/a² + (y - k)²/b² = 1

(x - h)²/(2b)² + (y - k)²/b² = 1

(x - h)²/4b² + (y - k)²/b² = 1

The equation of ellipse with major axis y-axis

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the y-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/b² + (y - k)²/a² = 1

(x - h)²/b² + (y - k)²/(2b)² = 1

(x - h)²/b² + (y - k)²/4b² = 1

So, the equations of ellipses whose major axis lengths are twice their minor axis lengths are

(x - h)²/4b² + (y - k)²/b² = 1 and (x - h)²/b² + (y - k)²/4b² = 1

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Find the midpoint M of the line segment joining the points A = (7, - 8) and B = (- 3, - 4)

Answers

Answer:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.

Step-by-step explanation:

Step-by-step explanation:

(7+(-3))/2 , (-8+(-4))/2(7-3)/2 , (-8-4)/24/2 , -12/2midpoint = (2,-6)

Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?

Answers

Answer:

13x+50=641.50, where x is the about of hours Luke worked. (x=45,5[h])

offering tons of points and brainliest for the right answer!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?

Answers

Answer:

  16 mph

Step-by-step explanation:

You want the speed of a boat in still water if it travels 28 miles upstream in the same time it travels 36 miles downstream in a river that runs 2 mph.

Time

The relation between time, speed, and distance is ...

  t = d/s

If we let b represent the boat speed, the two identical times give the relation ...

  28/(b -2) = 36/(b +2)

Solution

  28(b +2) = 36(b -2) . . . . cross multiply

  28b +56 = 36b -72 . . . . eliminate parentheses

  128 = 8b . . . . . . . . . . . . add 72 -28b

  16 = b . . . . . . . . . . . . divide by 8

The speed of the boat is 16 mph.

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kite EFGH is graphed on the coordinate plane. three of its verticies are E(1,6), F(3,5), and G(4,-3). what are the coordinates of the fourth vertex, H?

Answers

The coordinates of the fourth vertex, H is; (-6.056, 7.302)

How to find the Coordinates of a Kite?

A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.

We are given the coordinates of its' vertices as;

E(1,6), F(3,5), and G(4,-3).

The two diagonals are perpendicular;

Slope of EG = (-3 - 6)/(4 - 1)

Slope of EG = -9/5

Equation of line passing through G is;

y = mx + c

-3 = -9/5(4) + c

-15 = -36 + 15c

c = 51/15 = 17/5

y = (-9/5)x + 17/5    ------(1)

Equation of line passing through F is;

y = mx + c

6 = (5/9)(1) + c

54 = -9 + 9c

c = 7

y = (5/9)x + 7   -----(2)

Solving eq 1 and eq 2 simultaneously gives;

x = -1.528 and y = 6.151

If (a, b) are coordinates of vertex H, then;

(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151

Thus;

a = -6.056 and b = 7.302

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Please can anybody help me with this:
Show that (x − 9)(x − 1) ≡ x^2 − 10x + 9

Answers

        We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

x * -9 = -9x

-9 * -1 = 9

Add together:

x² +  -x + -9x + 9

x² − 10x + 9

Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

what is -7/6 simplified

Answers

-7/6 = - 1.167 in simplest form

Answer:

Step-by-step explanation:

You cant simply this into fraction but you can simplify it to decimal form

which is - 1.17 round off

Convert the polar coordinates (3, -5 pi/3). to rectangular coordinates.

Answers

Answer:

See below

Step-by-step explanation:

x = 3 cos (-5pi/3)   =  1.5

y = 3 sin (-5pi/3) = 2.598

Let x = 0.147 and let y = 0.147.

Answers

Answer:

X is a rational number, y is not a rational number, and y is larger.

Step-by-step explanation:

The line above the 0.147 means that the number goes on forever and never stops. This is a characteristic of an irrational number. Rational numbers, however, do stop, so x is rational. Because y goes on forever, it has more values after the 0.147, making it larger.

Which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation, and it is not likely causal. it is a strong positive correlation, and it is likely causal.

Answers

What best describes the strength of the correlation between variables is that it is a strong positive correlation, and it is likely causal.

What is the correlation between variables?

Corresponds to a statistical relationship, which will be positive when both variables, such as x and y move in the same direction, that is, when one variable increases, the other also increases, being a causal relationship.

Therefore, the relationship can also be negative, meaning that when the value of one variable increases, the values ​​of the other will decrease.

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A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°. Is Charlene’s definition valid?

Answers

Answer:

YES BECAUSE THIS DEFINITION FITS ALL ACUTE TRIANGLES AND DOES NOT FIT TRIANGLES THAT ARE NOT ACUTE

Step-by-step explanation:

i got it right on TTM

2. Mrs.Anub is sad because 75% of her pupils failed in the Summative Test.If 40 pupils failed in the test,how many pupils does she have.in the class?
Copy and answer:
a. What is asked in the problem?

b.What are the given facts?

c. What is the formula to be used to solve the problem?

d.What is the number sentence?

e.Solve and show your solution...

e.Write the answer...

Answers

Answer:

1. How many pupils does Mrs.Anub have in all

I am sorry but I could only solve question 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. How many pupils does she have in the class?

b. 40 pupils failed in the test.

c.  x = all pupil in the class

    percentage

d.   75/100 x = 40

e.   75/100 x = 40

           x        = 40*100/75

                     =  53.33

        pupils   =   53 people

f. There are 53 pupils in the class.

100 divided by 360 please help I’m gonna cry

Answers

Simple division.

360 ÷ 100 = 3.6

[tex]\bf{\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace3.\emptyspace6\:\:\:\:\:\:\:\:\:\\ 100\overline{|\smallspace360.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}}[/tex]

I hope it helps you...Salu2!!!!

Answer:

0.277778

Step-by-step explanation:

hope this helps also please don't cry everyone loves you


Please help me with this

Answers

The probability of not picking a red marble is 0.2.

The probability of picking a yellow or green marble is 0.5

The probability of drawing an even number of a number greater than 4 is  1.

The probability of getting heads and an even number is 1.

The probability of drawing a 2 or a 4 is 0.25.

What are the probabilities?

Probability determines how likely it is for an event to happen. The chances of the event occurring lies between 1 and 0.

The probability of not picking a red marble = (number of all the marbles - red marbles) / total marbles

4/20 = 0.2

The probability of picking a yellow or green marble = (number of yellow marbles / total number of marbles) + (number of green marbles / total number of marbles)

2/20 + 8/20 = 10/20 = 0.5

The probability of drawing an even number of a number greater than 4 = (number of even numbers / total numbers) + (numbers greater than 4 / total numbers)

5/10 + 5/10 = 1

The probability of getting heads and an even number is = (side that is head / total sides) x (even numbers on a die / total numbers on a die)

1/2 x 3/6 = 1

The probability of drawing a 2 or a 4 = 1/8 + 1/8 = 2/8 = 0.25

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Can someone help

kaitlin buys candy that costs $8 per pound. she will spend less than $40 on candy. what are the possible numbers of pounds she will buy?
use p for the number ofpounds kaitlin will buy.
write your answer as an inequality solved for p.

Answers

Answer:

x≤5p

Step-by-step explanation:

40/8=5 Kaitlin can buy UP TO 5 pounds of candy at $8/pound. So she will buy less than or equal to 5 pounds

Hello guys can someone please help me?
ASAP?
Ill give points and brainliest
THANK YOU!!!

Answers

Answer:

[tex]4^{4}[/tex]

[tex](-7)^{6}[/tex]

5x5x5x5

Step-by-step explanation:

The exponent sign shows how many times you will multiply the base number by itself

[tex]4^{4}[/tex] is saying "multiply 4 by itself 4 times" which is the same as 4x4x4x4

[tex](-7)^{6}[/tex] is saying "multiply -7 by itself 6 times" which is the same as -7x-7x-7x-7x-7x-7

HOWW DO I DO THIS????
WEIRD EXACT TRIG QUESTION (cannot use a calculator)

Answers

Answer:

[tex]\huge{\red{\angle ABC = \boxed{30}\degree}}[/tex]

Step-by-step explanation:

[tex]\sin \angle ABC =\frac{p}{30}......(1)[/tex] (Given)

In [tex] \triangle ABC,[/tex] sin ratio of [tex] \angle ABC[/tex] can be given as:

[tex]\sin \angle ABC =\frac{AC}{AB}[/tex]

[tex]\implies \sin \angle ABC =\frac{2p+10}{80}......(2)[/tex]

From equations (1) and (2), we find:

[tex] \frac{p}{30}=\frac{2p+10}{80}[/tex]

[tex]\implies 80(p)=30(2p+10)[/tex]

[tex]\implies 80p=60p+300[/tex]

[tex]\implies 80p-60p=300[/tex]

[tex]\implies 20p=300[/tex]

[tex]\implies p=\frac{300}{20}[/tex]

[tex]\implies p=15[/tex]

[tex]\implies \sin \angle ABC =\frac{15}{30}[/tex]

[tex]\implies \sin \angle ABC =\frac{1}{2}[/tex]

[tex]\implies \sin \angle ABC =\sin 30\degree\:\:\:\:(\because \sin 30\degree=\frac{1}{2})[/tex]

[tex]\implies \huge{\red{\angle ABC = \boxed{30}\degree}}[/tex]

A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.

Round Volume answers to the nearest hundredth.

A) Find the volume of the cylinder. V=

B) Find the volume of the cone. V=

C) What fraction of the cylinder's volume is the cone's volume?

Answers

A. The volume of the cylinder is: 7389.03 in.³

B. The volume of the cone is: 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

What is the Volume of a Cone and a Cylinder?Volume of cone = 1/3πr²hVolume of cylinder = πr²h

A. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³

B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

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Stefan sells Jin a bicycle for $138 and a helmet for $18. The total cost for Jin is 130% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent

Answers

Answer:

1. $109.20 2. $46.80

Step-by-step explanation:

Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.

Good luck! Hope this helps!

......................
[tex]3 \times (6 + 2) - 3 + 4 \div 2 =[/tex]

Answers

Answer:

23

Step-by-step explanation:

Follow the PEMDAS order of operations

3 x (6 + 2) - 3 + 4 ÷ 2

Parenthesis (P):

(6 + 2) = (8)

Exponents (E):

none

Multiply/Divided (MD) left to right:

Multiply: 3 x 8 = 24

           = 24 - 3 + 4 ÷ 2

Divided: 4 ÷ 2 = 2

           = 24 - 3 + 2

Add/Subtract (AS) left to right:

Subtract: 24 - 3 = 21

            = 21 + 2

Add: 21 + 2 = 23

       

A proportional relationship is shown in the table below:

x 0 2 4 6 8
y 0 1.2 2.4 3.6 4.8
What is the slope of the line that represents this relationship?
_______


Graph the line that represents this relationship.

ill attach the table and the graph

Answers

The Answer is 10/13 :)

Explanation: (13−0)

 = 10/13

(10−0)

​13,10

The slope of the line that represents this relationship is 10/13 .

What is the  slope of the line

The graph of the line representing the proportional relationship will be a straight line passing through these two points.

The x-axis represents the "x" values, and the y-axis represents the "y" values. The line should have a positive slope and go through the points (0, 0).

From the graph  (13−0)  = 10/13

From the graph one can see that (10−0) will lead to the points of ​13,10 So, the slope of the line that represents this relationship is 10/13 .

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What is the best way to get points on DRFROSTMATHS? BRAINLIEST TO BEST ANSWER!

Answers

Answer:

You can see your total points on your dashboard. You can see points for individual topics on the Topic Explorer. After answering each question you will see how your points have changed.

Step-by-step explanation:

Brian bought 22 pounds of flour for $10. How many pounds of flour did he get per dollar?

Answers

Answer:

$2.20

You do 22÷10 and you get 2.20

Which statement about odd functions is correct?
A. They are symmetric over the x-axis.
B. They have rotational symmetry.
C. They are symmetric over the y-axis.
D. They are transformations of the parent function.​

Answers

No one because odd functions are symmetric about the origin.

What is an odd function?

It is a function such that f (x) =f (x) with the sign reversed but the absolute value unchanged if the independent variable's sign is reversed.

If f(x) Equals f(x) for every x, a function is odd. An odd function's graph will be symmetrical around the origin.

For instance, f(x) = x3 is an odd number. That is, the function on one side of the x-axis is sign inverted in relation to the function on the other side, or graphically, symmetric about the origin.

Therefore the odd functions are symmetric about the origin.

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Answer: B

Step-by-step explanation:

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