Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?

Answer:

The ratio of geckos to lizards is 1:3

So, that means 1/(3+1) of the animals are geckos.

1/4 of the reptiles are geckos.

And, there are 20 geckos.

Let me know if you have any other questions!

Ratios are used to show the relationship between related quantities. The number of geckos in the pet store is 20.

Given that:

[tex]Total = 80[/tex]

[tex]Gecko : Anole = 1 :3[/tex]

The number of geckos (n) in the store is calculated as follows:

[tex]n = \frac{Gecko}{Gecko + Anole} \times Total[/tex]

So, we have:

[tex]n = \frac{1}{1+ 3} \times 80[/tex]

[tex]n = \frac{1}{4} \times 80[/tex]

[tex]n = 20[/tex]

Hence, there are 20 geckos in the store

Read more about ratios at:

https://brainly.com/question/19257327

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{f(x)}{3} =\dfrac{x^4+x^3+x^2+1}{(x-1)(x+2)} \\\\=\dfrac{(x^2+3)(x-1)(x+2)-3x+7}{(x-1)(x+2)} \\=x^2+3-\dfrac{3x-7}{(x-1)(x+2)} \\\\=x^2+3-\dfrac{3}{x-1} +\dfrac{1}{(x-1)(x-2)} \\\\\dfrac{f(x)}{3}-\dfrac{3x^2+9}{3} =-\dfrac{3}{x-1} +\dfrac{1}{(x-1)(x-2)} \\\\\\ \lim_{x \to +\infty} (\dfrac{f(x)}{3}-\dfrac{3x^2+9}{3} )\\\\=0+0=0\\\\\\P(x)=-x^2-3[/tex]

Answer:

[tex]g(x)=-3x^2-9[/tex]

Explanation:

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

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

We need p(x) need to be a degree 2 polynomial so the numerator of the second fraction is degree 4. Our goal is to cancel the terms of the first fraction's numerator that are of degree 2 or higher.

So let p(x)=ax^2+bx+c.

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

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

Plug in our p:

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

+[tex]\frac{(ax^2+bx+c)(x^2+x-2)}{x^2+x-2}[/tex]

Take a break to multiply the factors of our second fraction's numerator.

Multiply:

[tex](ax^2+bx+c)(x^2+x-2)[/tex]

=[tex]ax^4+ax^3-2ax^2[/tex]

+[tex]bx^3+bx^2-2bx[/tex]

+[tex]cx^2+cx-2c[/tex]

=[tex]ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)-2c[/tex]

Let's go back to the problem:

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

+[tex]\frac{ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)x-2c}{x^2+x-2}[/tex]

Let's distribute that 3:

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

+[tex]\frac{ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)x-2c}{x^2+x-2}[/tex

So this forces [tex]a=-3[/tex].

Next we have [tex]a+b=-3[/tex]. Based on previous statement this forces [tex]b=0[/tex].

Next we have [tex]-2a+b+c=-3[/tex]. With [tex]b=0[/tex] and [tex]a=-3[/tex], this gives [tex]6+0+c=-3[/tex].

So [tex]c=-9[tex].

Next we have the x term which we don't care about zeroing out, but we have [tex]-2b+c[/tex] which equals [tex]-2(0)+-9=-9[/tex].

Lastly, [tex]-2c=-2(-9)=18[/tex].

This makes [tex]p(x)=-3x^2-9[/tex].

This implies [tex]g(x)\frac{(-3x^2-9)(x^2+x-2)}{x^2+x-2}[/tex] or simplified [tex]g(x)=-3x^2-9[/tex]

Answer: D) w = 9 feet

Work Shown:

[tex]L = \sqrt{w^2+h^2}\\\\L^2 = w^2+h^2\\\\L^2-h^2 = w^2\\\\w^2 = L^2-h^2\\\\w = \sqrt{L^2-h^2}\\\\w = \sqrt{15^2-12^2}\\\\w = \sqrt{225-144}\\\\w = \sqrt{81}\\\\w = 9\\\\[/tex]

That points us to the final answer choice D.

use the formula a^3+b^3=(a+b)^3-3ab(a+b)

in above question assume (a+b) as a and 1 as b

take help of file above

Answer:

[tex]a_{n}[/tex] = 16 - 7n

Step-by-step explanation:

There is a common difference between consecutive terms , that is

2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 7 , then

[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n

Answer:

The volume of the irregular figure would be 102 [tex]cm^3[/tex].

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be [tex]6*3*5=30*3=90 cm^3[/tex], and the volume of the smaller rectangular prism would be [tex]3*2*2=6*2=12 cm^3[/tex]. So the volume of the entire irregular figure would be [tex]90+12=102 cm^3[/tex].

Answer:

102

Step-by-step explanation:

Large rectangle:

6 × 3 × 5 = 18 × 5 = 90

Small rectangle:

7 - 5 = 2

3 × 2 × 2 = 6 × 2 = 12

90 + 12 = 102

Hope this helped.

Answer:

0 or - 5

Step-by-step explanation:

x^2+5x=0

x(x+5)=0

x=0 or - 5

Answer:

18m

Step-by-step explanation:

6 times 3 = 18

Answer:

Jared collected 88 more stickers

Step-by-step explanation:

Take the amount Jared collected and subtract the amount Lena collected

213-125

88

Jared collected 88 more stickers

Answer:

88

Step-by-step explanation:

213-125=88

Answer:

30

Step-by-step explanation:

To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use

[tex]\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right][/tex] and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get

[tex]\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right][/tex]. The determinant is equal to

[tex]-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30[/tex]

Answer:

To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Translation involves moving a point on a coordinate geometry from one position to another position.

Given that:

[tex]M = (-1,5)[/tex] --- point

[tex](x,y) \to (x + 3, y - 2)[/tex] --- translation rule

Substitute -1 for x and 5 for y in [tex](x,y) \to (x + 3, y - 2)[/tex]

So, we have:

[tex](-1,5) \to (-1 + 3, 5 - 2)[/tex]

[tex](-1,5) \to (2, 3)[/tex]

This means that:

[tex]M' = (2, 3)[/tex]

Hence, the image of M after translation is [tex](2, 3)[/tex]

Read more about translations at:

https://brainly.com/question/12463306

Answer:

Similarity: Both graphs have same y-intercepts.

Difference: Graph 2x + 4 has a slope of 2 while the graphic -½x + 4 has a slope of -½

Step-by-step explanation:

[tex]{ \sf{y = mx + b}}[/tex]

m is the slope

b is the y-intercept

Answer:

nnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

Answer:

Divide

Step-by-step explanation:

Using PEMDAS, the first would be parenthesis, but there are none, so we do not use P. Next is E which is exponents, which would be the first thing completed. Then is M and D which is multiplication and division. The division is used which is "dividend by two" as it's the second thing completed.

Hope this helped.

Cost of 12 notebooks = $9

Ratio of number of notebooks to its price

= 12:9

= 4:3 (because we reduced it to the simplest form by dividing both numerator and denominator by 3)

Let the cost of 8 notebooks be x.

Then, 8:x = 4:3

=> 8/x = 4/3

=> (8×3)/4 = x

=> 24/4 = x

=> 6 = x

So, the cost of 8 notebooks is $6.

Answer:

2. 3x + 11

3. 15x^5

Step-by-step explanation:

2. Simplify by adding

(x + 4) + (2x + 7)

= x + 4 + 2x + 7

= 3x + 11

3. Multiply

3x^2(5x^3)

= 3 (5x^2 x^3)

= 3 (5x^2+3)

= 15x^5

Answer:

A. 6.75, divide 13.5 by 2.

B. It's 5.2, 26.2 rounded is 26 and 4.5 rounded is 5, divide. The average is 5.8 , 26.2 divide by 4.5

!This is the first part!

Answer:

D. Range

Step-by-step explanation:

The definition of range is as the question says, and we can also use the process of elimination to make sure it's not the others.

A mean is the average of a data set.

A mode is the item that appears the most times.

And a median is the middle number.

As you can see, A, B, C all don't fit the given statement in the question, so it is D. Range.

I hope this helped! :D

Answer:

A

Step-by-step explanation:

Note the expansion

tan(a - b) = [tex]\frac{tana-tanb}{1+tanatanb}[/tex]

We are given the right side of the expansion , then left side is

tan([tex]\frac{\pi }{7}[/tex] - [tex]\frac{\pi }{8}[/tex] )

= tan([tex]\frac{8\pi -7\pi }{56}[/tex] )

= tan ([tex]\frac{\pi }{56}[/tex] ) → A

Answer:

a=6 and b=8

Step-by-step explanation:

a^2=(9/16)b^2. Substitute this in the second equation, you get b^2+b^2*(9/16)=100, b^2=100*16/25=8 and a=6

sorry I don't know if you ask to other sure I think they will tell you ans

Answer:

B.

Step-by-step explanation:

Table B has x values that go to multiple y values. A function has inputs that only go to one output.

Answer:

100

Step-by-step explanation:

Hey there!

First, to find the cost of one apple, 50 ÷ 25, which equals 2.

At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.

If you meant 75 apples: 75 x 2 = $150

If you meant $75 apples: $75 ÷ 2 = 37.5

Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.

Hope this helps!

Have a great day!

Answer:

h = 41.52 feet

Step-by-step explanation:

The volume is π•radius²•height:

π•4²•h = 2087

16πh = 2087

h = 2087/16π

h ≈ 41.52 feet

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

cos(X) = 6/7.5 or then 12/15. or simplified 4/5.

Answer:

A,53.37°

360-306.63=53.37

Answer:

A

Step-by-step explanation:

a whole circle has 360 degrees (one time all around).

so, going from J over M to L is "using" already 306.63 degrees of that. going then from L to J just finishes the full trip of going one time around the whole circle.

so, LJ is just the missing "piece" to 360 degrees.

LJ = 360 - 306.63 = 53.37

Answer:

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