The image shows the fossilized remains of Glyptodon, an animal group that became extinct about 10,000 years ago, and a modern armadillo. Both animals are mammals that share similar physical characteristics, such as short legs, a long tail, and a shell composed of bony plates. Which is the best explanation for the similarity between Glyptodon and the armadillo? The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon descended from a common ancestor. The armadillo and Glyptodon descended from a common ancestor.

[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]

Answer:

y = - 2.5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

10x + 4y = 16 ( subtract 10x from both sides )

4y = - 10x + 16 ( divide through by 4 )

y = [tex]\frac{-10}{4}[/tex] x + 4 , that is

y = - 2.5x + 4 ← in slope- intercept form

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

Explanation:

The smallest data value is 13. This is due to the stem 1 and leaf 3.

The largest is 47. This is from the stem 4 and leaf 7.

The span between these items is 47-13 = 34

The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2  miles is greater than 17.6 miles"

In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.

So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"

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Answer:

y=-x-11

Step-by-step explanation:

Answer:93 grams Zinc

Step-by-step explanation:3 Zinc : 13 Copper

x 31       x 31            

93 Zinc,     403 Copper

or

set up a proportion, cross multiply, and solve for the variable:

3(403) = 13(x)

3(31) = x

93 = x

Answer:

The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.❤

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

Step-by-step explanation:

[tex]30 + 4x + 2 = 80[/tex]

[tex]4x + 32 = 80[/tex]

[tex]4x = 48[/tex]

[tex]x = 12[/tex]

Therefore, the answer is x = 12.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Using complex numbers and radicals, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

The same is valid for radicals, as they are in the [tex]\pm[/tex] format.

Hence, option C is correct.

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Answer:

Part A is D and part B is 78

Step-by-step explanation:

for part b 80 x0.35 is 28

28+50 is 78

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]

Answer:

number of adult shirts sold (a) = 20

number of youth shirts sold (b) = 10

Step-by-step explanation:

a = number of adult shirts sold

y = number of youth shirts sold

30 = a + y

$324.50 = 11.50a + 9.45y

This is the resulting system of equations from the given information in the problem.

Solve for y in the first equation and then substitute the equation for y into the second equation :

a+y=30 --> y=30-a

324.50 = 11.50a + 9.45(30-a)

Solve for a.

324.50 = 11.50a + 283.5 - 9.45a

41 = 2.05a

a = 20

Now that we have solved for a, we can back substitute into our equation for y and solve.

y=30-(20)

y = 10

CHECK:

(20)+(10) = 30 True

(11.50)(20) + (9.45)(10) = 324.5  True

Answer:

a

Step-by-step explanation:

The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The value of the function approaches -∞ as x approaches -∞ is,

[tex]F(x) = \dfrac{x+6}{x-6}[/tex]

The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.

Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

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Answer:

18.7°F

Step-by-step explanation:

Difference

High temperature - low temperature

-3.6 - ( -22.3)

-3.6 + 22.3

= 18.7°F

Answer:

y = 4x + 8

Step-by-step explanation:

1) Find slope:

y2-y1/x2-x1

12-8/1-0 = 4/1 = 4

Slope = 4

2) Plug in a point in point-slope form

y-y1=m(x-x1)

y-8=4(x-0) =

y-8=4x-0 -> add 8 to both sides

y=4x+8

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]

Answer:

Step-by-step explanation:

The number is 12.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than two-thirds of my number.

-> 3(n + 12) = 64 more than

-> 3(n + 12) = 64 + 2n/3

[Given]

3(n + 12) = 64 +  2n/3

[Distribute]

3n + 36 = 64 + 2n/3

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

hence, The number is 12.

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Answer:

x = 36.87

Step-by-step explanation:

Find the length of the missing side.

x^2 + 12^2 = 15^2

x^2 + 144 = 225

x^2 = 81

x = 9

Now use the law of sines:

sin(90)/15 = sin(x)/9

Multiply each side by 9

9 * sin(90)/15 = sin(x)

0.6 = sinx

sin^-1 = 36.86989 rounded to 36.87

Answer:

Mai's ride is 1.5 times longer than Noah's

Step-by-step explanation:

Answer:

(3,6)

Step-by-step explanation:

y = 2x

x+y = 9

; x+(2x) = 9

3x = 9

x = 3

y = 2x

y = 2(3)

y = 6

Hello there here is the problem you gave us

[tex]y=2x,x+y=9[/tex]

You want to us to solve this by substitution,

_______________________

_______________________

we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation

[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]

_______________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

Answer is attached.

Hope it helps :)

Answer:

When x = 3

f(3) = 3 + 7 = 10

When x = -5

f(-5) = -5 + 7 = 2

please mark me the brainliest

Answer: 420 dollars.

Step-by-step explanation:

Answer:

Total income, $420.

Step-by-step explanation:

if $84 is 20% of freds income, then freds income could be modeled by the equation

Income = 84/.2 which equals $420 ((((ganggang)))

to check this, you can take his total income (420) and multiply it by 20%, and if we get 84, we are correct, 20% of freds income($420) IS in fact $84.

420*.2 = $84 proving ourselves to be correct.

Answer:

31.68

Step-by-step explanation:

1.4×9.15= 12.81

0.8×10.75= 8.6

2.6×3.95= 10.27

10.27+ 8.6+ 12.81= $31.68

Hope this helps!

Plz mark brainliest

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Answer:

65

50

Step-by-step explanation:

yeah-ya........ right?

Answer:

It is 21.6

hope this helps

i'm pretty sure it's 20.