A boat can travel 456 miles on 114
gallons of gasoline. How far can it
travel on 67 gallons?

Answers

Answer 1

Answer:

268 miles i think

Step-by-step explanation:

if 456=114 gallons

456/114=4

so 4 miles per gallon

and then

4*67=268

Hope this helps: )


Related Questions

The cashier determines that the customer's groceries total $156.75. If the sales tax is four percent, how much will the customer have to pay for their groceries, including tax?

Answers

156.75•.04 = 6.27 ||| 6.27+ 156.75 = $163.02

SOMEONE HELP ME PLEASE I BEG YOU

Answers

Answer:

x=40 mark brainlist please

Step-by-step explanation:

Solve a0 = 0, a1 = 1 and an = an−1 + an−2 + 2n , for n ≥ 2. Hints: This one involves a lot more algebra than the problems above. Solving the homogeneous problem will involve using the quadratic formula. The characteristic roots turn out to be 1 ± √ 5 2 (but show the work!). For a particular solution, try an = A2 n . You should find A = 4 (but show the work!). Put those two pieces together to write down the general solution an = A( (1 + √ 5 )/2 )^n + B( (1 − √ 5)/ 2 )^n + 4(2^n ) and the determine the values for A and B by using the two initial conditions, a0 = 0 and a1 = 1. The necessary arithmetic will be somewhat complicated, but not impossible.

Answers

Answer:

Hi yes ik I'm not that good at math but wouldn't it be

a n=1∗1 n =1

A piece of rope 6.54 metres long is cut
into two pieces. One piece is twice as
long as the other. What is the length of
the longest piece?

Answers

X=shorter piece of rope
2X=longest piece of rope
X+2X=6.54 m
3X=6.54 m
X=6.54/3
X=2.18 m

Shorter piece is 2.18 m long
Longest piece is 2•2.18=4.36 m long

In the figure below, solve for the value of a. a = ______ in. (round to the nearest tenth and do NOT include units in your answer)

Answers

Answer:

6.9

Step-by-step explanation:

sinX=opposite/hypotenuse

sin35=a/12

a=12*0.57357643635

a=6.88291723621≈6.9

write the equation below in words
z=(8-3)+10​

Answers

Answer:

Z equals open parentheses eight minus three close parentheses plus ten

Step-by-step explanation:

The price of an item yesterday was $130. Today, the price fell to $39. Find the percentage decrease. ​

Answers

Answer:

30% decrease

Step-by-step explanation:

We have to divide 39 by 130 and then find the percentage of it. 39/130 is equal to 3/10, and 3/10 is equal to 30%. That means that it was a 30% decrease.

Answer:

35%

Step-by-step explanation:

Pls answer correctly I’ll give you brainliest

Answers

Answer:

1=2(4)+b

Step-by-step explanation:

slope intercept looks like this y=mx(or y=#x+#

if the slope is 2 the equation will be y=2x+b

to find b so x=4 and y=1 we can plug those numbers into the equation to find b

which statement regarding the number of solutions for the linear equation shown below is true?
1/4x - 13 = 1/4(x + 13) ​

Answers

Answer: There is no solution.

Answer:

There is no solution

Step-by-step explanation:

y - X=-5
y = 2x2-3x-5
PLEASE HELP
(use substitution)

Answers

Answer:

x=1 y=-4

Step-by-step explanation:

In a newspaper, it was reported that yearly robberies in Springfield were up 40% to 154 in 2012 from 2011. How many robberies were there in Springfield in 2011?

Answers

Answer:

110

Step-by-step explanation:

The inverse of 7/5 is 5/7

5/7 times 154 equals 110

Please help! It’s urgent!

Answers

Answer:

ΔFGH≅ΔYZX

Step-by-step explanation:

Determine the volume and the total surface area of the square pyramid.if its perpendicular height is 12cm and square length is 5cm​

Answers

Answer:

Volume = 100 cm³

​Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

​Surface area of the square pyramid

Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

​Surface area of the square pyramid = A + 1/2(P)(h)

Perimeter square pyramid = 4(s)

Perimeter square pyramid = 4(5)

Perimeter square pyramid = 20 cm

​Surface area of the square pyramid = 25 + 1/2(20)(12)

​Surface area of the square pyramid = 145 cm²

Can someone show me how to do this? I’m not sure how to do this

Directions: The points in the table lie on a line. Find the slope of the line. Then draw its graph.

Answers

Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.

Step-by-step explanation:

y=mx+c                 *We want m*

m=(y2-y1)/(x2-x1)

m=(0-1)/(6-3)

m=-1/3

y=-1/3x+2          *(0,2) co-ordinate means it's the y-intercept=c*

I think the slope is -1/3 and then just plt the points on the graph manually.

       

Factorise the following expressions​.

Answers

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

what is the H.C.F of 2³×3²​

Answers

The correct answer is 28

Find the measure of 67.
81
96
90
47 = [?]
Entor

Answers

Answer

Correct option is

A

68

Answer:

96 is the answer because vertically opposite angles are always equal

Solve for the length of a leg
I will give brainless
The numbers are
A-24
C- 25

Answers

Answer:

7

Step-by-step explanation:

To solve for B, you have to use the Pythagorean Theorem and work it to solve for B. If b^2+24^2 is equal to 25^2, you can take those numbers (for 24^2, it's 576, and 25^2 is 625) and subtract them for the squared number that B will be equal to, 49. You then take the square root of 49 and that answer will be your side B, 7.

Construct triangle ABC such that AB = 8cm, BC = 6.5 cm and angle ABC = 80 degree. Measure and write down the length of AC.

Answers

Answer:

AC = 9.39 cm

Step-by-step explanation:

sin 80 = m/8

m = 7.88

cos 80 = n/8

n = 1.39

p = 6.5 - 1.39 = 5.11

AC² = 7.88² + 5.11²

AC = 9.39 cm

the sum of the three sisters' ages is 51. If ava is 6 years older than
Camila, and Camila is twice as old as Luna, what are the ages of the
three sisters?

Create an equation with only one variable.

Answers

9514 1404 393

Answer:

Luna is 9Camila is 18Ava is 24

Step-by-step explanation:

We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...

Luna's age: LCamila's age: 2LAva's age: 2L +6

The total of their ages is then ...

  L +2L +(2L+6) = 51 . . . . an equation with one variable

  5L = 45

  L = 9

Luna is 9, Camila is 18, and Ava is 24.

Help me with this
Please

Answers

Answer:

146.96 [tex]m^2[/tex]

Step-by-step explanation:

1. Approach

Divide this figure into two smaller shapes. Calculate the area of these smaller shapes, and then add the results. One can divide this shape into a semi-circle, and a triangle.

2. Area of the triangle

The formula to find the area of a triangle is;

[tex]\frac{base*height}{2}[/tex]

It is given that the base of the triangle is (14m) and the height is (10m). Substitute in these values, and solve for the area,

[tex]\frac{14*10}{2}\\= \frac{140}{2}\\= 70[/tex]

2. Area of the semi-circle

The area of the semi-circle can be found by finding the area of the larger circle, and then divide it by 2, since a semi-circle is half of a circle. The formula for the area of a semi-circle is;

[tex]\frac{(pi)(r^2)}{2}[/tex]

Where (pi) is the constant (3.1415...), (r) represents the radius of the circle, which by definition is half of the diameter. Substitute in the values and solve;

[tex]\frac{(pi)(7)^2}{2}\\= \frac{3.14*49}{2}\\=76.96[/tex]

3. Find the total area;

Now add up the two values for the area of the figures;

Triangle + Semi-circle

= 70 + 76.96

= 146.96

Answer: about 147 m²

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky Smart.

Marking brainliest!!

What should I put for the second question? I am confused. HELPP

Answers

One could analyze sources that were created by experts. In this case, you should look for a source that shares the same main argument, which is that people should pay for things that they own. People with credentials are credible (for the most part), and can be trusted. If experts have the same ideas and opinions in their respective fields, your thesis can be verified.

A family wants to rent a car to go on vacation. Company A charges ​$ and . Company B charges ​$ and . How much more does charge for x miles than ​?

Answers

Answer:

Not enough information to give answer

Answer:

yeah not enough info to answer

HELPPPPPPP plsss i rlly need help

Answers

Answer:

6. unbiased because there is no opinion involed

7. biased because favortie is an opinionated word

8. representative because she is not interviewing everyone but only a small number of people to come up with representative data for the whole workplace

The 1st flat-bar, or cross, or other operator means:
-9-(-7)

Answers

-9-(-7)

-9--7

-9+7

7-9

-2

---

hope it helps

Recall that the Fibonacci Sequence is defined by the recurrence relation, a0 = a1 = 1 and for n ≥ 2, an = an−1 + an−2 . a. Show that f(x) = 1 1−x−x 2 is the generating function of the Fibonacci Sequence. b. Find ???? and β such that 1 − x − x 2 = (1 − ????x)(1 − βx). c. Find A and B in terms of ???? and β, such that 1 1−x−x 2 = A 1−????x + B 1−βx. d. Use the results of the previous parts to obtain a formula for an.

Answers

Answer:

Step-by-step explanation:

From the given information:

[tex]a_n = a_{n-1} + a_{n-2}; \ \ \ n \ge 2 \\ \\ a_o = 1 \\ \\ a_1 =1 \ \ \ \ \ since \ \ a_o = a_1 = 1[/tex]

A)

[tex]a_n - a_{n-1} - a_{n-2} = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2}(a_n -a_{n-1}-a_{n-2} ) x^n = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2} a_nx^n - \sum \limits ^{\infty}_{n=2} a_{n-1}x^n - \sum \limits ^{\infty}_{n=2}a_{n-2} x^n = 0 \\ \\ \implies (a(x) -a_o-a_1x) - (x(a(x) -a_o)) -x^2a(x) = 0 \\ \\ \implies a(x) (1 -x-x^2) -a_o-a_1x+a_ox = 0 \\ \\ \implies a(x)(1-x-x^2)-1-x+x=0 \\ \\ \implies a(x) (1-x-x^2) = 1[/tex]

[tex]\mathbf{Generating \ Function: a(x) = \dfrac{1}{1-x-x^2}=f(x)}[/tex]

B)

[tex]If \ \ 1 -x-x^2 = (1 - \alpha x) ( 1- \beta x) \\ \\ \implies 1 -x - ^2 = 1 + \alpha \beta x^2 - ( \alpha + \beta )x \\ \\ \text{It implies that:} \\ \\ \alpha \beta = -1 \\ \\ \alpha + \beta = 1 \\ \\ \implies \alpha = ( 1-\beta) \\ \\ ( 1- \beta) \beta = -1 \\ \\ \implies \beta - \beta^2 = -1 \implies \beta - \beta^2 -1 = 0\\ \\ \beta = \dfrac{-(-1) \pm \sqrt{(-1)^2 -4(1)(-1)}}{2(1)}[/tex]

[tex]\beta = \dfrac{1\pm \sqrt{5}}{2} \\ \\ \beta = \dfrac{1 + \sqrt{5}}{2} \ \ and \ \ \alpha = \dfrac{1 - \sqrt{5}}{2}[/tex]

C)

[tex]\dfrac{1}{1-x-x^2}= \dfrac{A}{1-\alpha x}+ \dfrac{\beta}{1-\beta x} \\ \\ = \dfrac{A(1-\beta x) + B(1-\alpha x)}{(1-\alpha x) (1 - \beta x)} \\ \\ = \dfrac{(A+B)-(A\beta+B\alpha)x}{(1-\alpha x) (1-\beta x)}[/tex]

[tex]\text{It means:} \\ \\ A+B=1 \\ \\ B = (1-A) \\ \\ A\beta+ B \alpha =0 \\ \\ A\beta ( 1 -A) \alpha = 0 \\ \\ A( \beta - \alpha ) = -\alpha \\ \\ A = \dfrac{\alpha}{\alpha - \beta } \\ \\ \\ \\ B = 1 - \dfrac{\alpha }{\alpha - \beta} \implies \dfrac{\alpha - \beta - \alpha }{\alpha - \beta } \\ \\ =\dfrac{-\beta }{\alpha - \beta} \\ \\ \mathbf{B = \dfrac{\beta }{\beta - \alpha }}[/tex]

D)

[tex]\text{The formula for} a_n: \\ \\ a(x) = \dfrac{\alpha }{\alpha - \beta }\sum \limits ^{\infty}_{n=0} \alpha ^n x^n - \dfrac{\beta}{\beta - \alpha }\sum \limits ^{\infty}_{n=0} \beta x^n \\ \\ \implies \sum \limits ^{\infty}_{n =0} \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta}x^n \\ \\ a_n = \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta } \\ \\ \\ a_n = \dfrac{1}{\sqrt{5}} \Big (\Big( \dfrac{\sqrt{5}+1}{2}\Big)^{n+1}- \Big ( \dfrac{1-\sqrt{5}}{2}\Big) ^{n+1}\Big)[/tex]

If Sam's present age is x years, what will be his age in years after 20 years from now?
31 x + 20
x - 20
20x
x/20

Answers

it would be x+ 20
explanation: it jus be like that

GIVING 25 PTS URGENT

Answers

Answer:

D) 76 sq in

Step-by-step explanation:

It’s 4 triangles. A=1/2bh

1/2(8)(5)=20 (two of these)

1/2(8)(6)=24

1/2(4)(6)=12

20+20+24+12=76

QUICK does anyone know this? if so please answer i need to turn this in asap!

Answers

Answer:

10, 8, -5. Pls tell me if wrong i will retry. Im doing this mentally to be fast.

Step-by-step explanation:

A. 12 - |1 + -3 | = 12 - 2 = 10

B. 6 - -2 = 8

C. 18 -3/-3 = 15/-3 = -5

Answer:

14,8,-5

Step-by-step explanation:

1. 12-{1+(-3)}

12-{1(-3)} 1-3=-2

12-(-2) -×-=+

12+2

14

2. 6-{1+(-3)}

6-(1-3)

6-(-2)

6+2

8

3. 3×6+(-3)

________

-3

18-3

______

-3

15

_____

-3

=-5

Help me please.......

Answers

Ok I dont know how to do this im so sorry

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