Jen fills her has tank up with 12 gallons of gas for $30.60. How much will it cost to fill up a 17-gallon tank?

Answer:

Area = 24.54

Step-by-step explanation:

two sides have lengths 5 and 13.

Let the two sides be;

a = 5

b = 13

The angle between them is 49

C = 49°

Let the third side be c

Thus, using cosine rule, we can find the side c.

c² = a² + b² - 2ac•Cos C

Plugging in the relevant values, we have;

c² = 5² + 13² - 2(5 × 13)Cos 49

c² = 25 + 169 - 130(0.6561)

c² = 108.707

c = √108.707

c = 10.43

Since we now have 3 sides, from herons formula, we can find the area;

Area = √[p(p − a)(p − b)(p − c)]

Where p is half of the perimeter = (a + b + c)/2 = (5 + 13 + 10.43)/2 = 14.215

Thus;

Area = √(14.215(14.215 - 5)(14.215 - 13)(14.215 - 10.43))

Area = √602.4

Area ≈ 24.54

Answer:

It goes up one number counting each time

Step-by-step explanation:

3 4 5  2 one cap

5 8 13   two cap

Answer:

How much do the adukts weigh?

Step-by-step explanation:

Answer: a = 162

Step-by-step explanation:

Answer:

a=162

Step-by-step explanation:

the answer is 5/12....

i think thats correct

Answer:

Grace scored 9 points in her first game.

Step-by-step explanation:

In her first game, she scored n points.

She scored 8 more points in her second game than in her first

So n + 8.

3 fewer points in her third game than in her second

So n + 8 -3 = n + 5

11 more points in her fourth game than in her third

n + 5 + 11 = n + 16

A total of 25 points in her fourth game.

This means that:

n + 16 = 25

n = 9

So

Grace scored 9 points in her first game.

Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 25, \sigma = 4[/tex]

The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?

Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 25}{4}[/tex]

[tex]X - 25 = 4*0.675[/tex]

[tex]X = 27.7[/tex]

So

Longer than 27.7 minutes.

Answer:

23 weeks because the penny is 161 and u dividing 161 by 7 because 1week hace 7 days and calculate 161÷7=23

the answer is 23 week

Answer:

length of rectangular box = 2[w] + 5

length of rectangular box = 35 cm

Step-by-step explanation:

Given:

length (l)

width (w)

Perimeter = 100 centimetre

Computation:

Part A;

length of rectangular box = 2[width] + 5

length of rectangular box = 2[w] + 5

Part B;

Perimeter = 2[l+w]

100 = 2[2w + 5 + w]

100 = 6w + 10

w = 15 cm

length of rectangular box = 2[w] + 5

length of rectangular box = 2[15] + 5

length of rectangular box = 35 cm

Answer:

They can make 10 different groups of three.

Step-by-step explanation:

The order in which the people are in the car is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different groups of three can the five of them make?

Combinations of 3 from a set of 5. So

[tex]C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]

They can make 10 different groups of three.

Answer:

−6(a+8)

=(−6)(a+8)

=(−6)(a)+(−6)(8)

=−6a−48

Step-by-step explanation:

multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48

Answer:

Your solution is 4.

Step-by-step explanation:

Answer:

Percent decrease in population = 12%

Step-by-step explanation:

Given that:

Population of city = 160,000

Population of city after several years = 140,800

Difference= 160000 - 140800 = 19200

Percent decrease = [tex]\frac{Difference}{Population} * 100[/tex]

Percent decrease = [tex]\frac{19200}{160000}*100[/tex]

Percent decrease = 0.12 * 100

Percent decrease = 12%

Hence,

Percent decrease in population = 12%

Answer:

Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.

Step-by-step explanation:

Given rational expression is:

[tex]\frac{x+3}{x+2}*\frac{x-3}{x-2}[/tex]

In the first step of solving the rational expression, we will multiply the nominators and denominators.

[tex]\frac{(x+3)(x-3)}{(x+2)(x-2)}[/tex]

[tex]\frac{x^2-3x+3x-9}{x^2-2x+2x-4}[/tex]

Now we will solve the alike terms.

[tex]\frac{x^2-9}{x^2-4}[/tex]

The product of rational expression is [tex]\frac{x^2-9}{x^2-4}[/tex]

Hence,

Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.

Answer:

option D

Step-by-step explanation:

Ap3x

Answer: he should also add that the sides are the same and the shapes look same

Step-by-step explanation:

it looks very same though, how is it different?

Answer:

Good for her.

Answer:

ok wheres the question

Step-by-step explanation:

Answer:

13.125

Step-by-step explanation:

Since the triangles are congruent, you would get the equation 4z-7=11z-112.

Then, you would subtract 4z from each side, leaving behing -7=8z-112. Then, you would add 112 to each side, getting 105=8z. Divide both sides by 8, and your answer is z=13.125

Answer:

,mbn ,bmnbb

Step-by-step explanation:

nnbn bn bn

Answer:

I have a feeling it won't be exactly 15 minutes but it'll be around that time, if it's true.

Step-by-step explanation:

Answer:

Your image wont load IM SO SORRY:(

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if 3x3 is 9 and 4x3 is 12 then 5x3 is 15

Answer: travel speed is = 10 m/sec

so for 20 meter = 20/10 = 2 sec

Step-by-step explanation:

Step-by-step explanation:

* 1,653 x 4 = 6612

* 1,653 x 13 = 21489

* 1,653 x 1 1/2 = 2479.5

I hope it helps.

infinitely many solutuinsAnswer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

9.3 x 8.5 = 79.05

7.6 x 2.4 = 18.24

an easier way to multiply decimals is to take away decimals and add later

example: 9.3x8.5 > 93x85 = 7905 since there are two places behind the decimal add that many to the solution 7905 > 79.05

Answer:

√430 or 20.74

Step-by-step explanation:

√430

Prime factorize 430

√2 · 5 · 43

There are no pairs to take out of the root, so the most simplified form of √430 is √430.

If you want the decimal form, it is 20.74

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