Rex is six times older than its sibling Spike. Rex's mother dino is ten times older than Rex. Rex's father dino is twice as old as Rex's mother. The sum of all the ages of the members of dino's family adds up to granduncle dino's age. The granduncle dino had just turned thousand years old the day the meteors hit the planet. How old was Rex when it became a fossil into the nearest Whole number?​

Answer:

F = - 20h + 450

Step-by-step explanation:

Since the relationship is linear then the function is of the form

F = ax + b

Calculate a using the slope formula

a = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 410) ) and (x₂, y₂ ) = (1, 430) ← 2 ordered pairs from the table

a = [tex]\frac{430-410}{1-2}[/tex] = - 20 , then

F = - 20h + b ← is the partial equation

To find b substitute any ordered pair from the table into the partial equation

Using (3, 390 ), then

390 = - 60 + b ⇒ b = 390 + 60 = 450

F = - 20h + 450 ← linear function

Answer:

f = (k - 16) / (2k - 16)

k = (16f - 16) / (2f - 1)

Step-by-step explanation:

f(k-8) = 1/2(k-8)-4​

Solve for f:

Divide both sides by (k-8)

f = (k - 16) / (2k - 16)

Solve for k:

Subtract 1/2 * k from both sides.

fk - 8f - (1/2)k = -8

Add 8f to both sides.

fk - 1/2*k = k * (2f - 1)/2 = 8f -8

Divide both sides by (2f - 1)/2

k = (16f - 16) / (2f - 1)

Answer:

There is No real solutions.

Step-by-step explanation:

Answer:

C, D, A

Step-by-step explanation:

Distributive property

Combining like terms

Communitive property

Answer:

Step-by-step explanation:

14(2x+4)

14(2(x+2))

28(x+2) or

28x+56

Answer: 28x + 56 or 14(2x) + 14(4). (They are equivalent)

Step-by-step explanation:

Distribute 14 to both 2x and 4.

14(2x+4) = 14(2x) + 14(4)

=28x + 56

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm.  To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted.  First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle.  All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great!  The inner rectangle has an area of 3.6cm × 5.8cm.  That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have.  Doing so gives us a result of 14.96cm², and that is the final answer.

Answer:

Below in bold.

Step-by-step explanation:

As its direct variation the graph is a straight line and passes through the origin (0,0) and the slope (y/x) is a constant.

The  fraction (y/x) for any point will be a constant.

The fraction for (6, 4)  is 4/6 = 2/3.

So also on the line we have:

(-9, -6)  (because  -6/-9 = 2/3).

and (3, 2).

Given:

The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).

Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.

To find:

The coordinate of B' after a reflection across the line y=-1.

Solution:

If a figure is reflected across the line y=b, then

[tex](x,y)\to (x,-(y-b)+b)[/tex]

[tex](x,y)\to (x,-y+b+b)[/tex]

[tex](x,y)\to (x,2b-y)[/tex]

The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is

[tex](x,y)\to (x,2(-1)-y)[/tex]

[tex](x,y)\to (x,-2-y)[/tex]

The coordinates of point B are (-2,3). So,

[tex]B(-2,3)\to B'(-2,-2-3)[/tex]

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

Therefore, the coordinates of point B' are (-2,-5).

Answer:61

Step-by-step explanation:

Answer:

Step-by-step explanation:

in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer  or

BC- AC = AB

does this strategy seem like a good one?

use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle

SOH     Sin = Opp / Hyp

CAH    Cos =Adj / Hyp

TOA   Tan = Opp / Adj

where Opp = Opposite side,  Adj = Adjacent side , and Hyp = Hypotenuse

we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.

when  AC is the Adj side it's

Tan(60) = 70 / Adj

Adj = 70 / Tan(60)

Adj = 40.4145

Dist. of AC = 40.4145 m

When BC is the Adj side it's

Tan(40) = 70 / Adj

Adj = 70/ Tan(40)

Adj = 83.42275

Dist. of BC = 83.42275

BC - AC = AB

83.45575 - 40.4145 =43.008

to the nearest tenth  AB = 43.0 m

Answer:

answer is B

Step-by-step explanation:

I am in high school and I learned this a month ago anyways

Answer:

Statements A, C and D are true

Step-by-step explanation:

True statements:

A.) ∠AZB and ∠BZD are a pair of supplementary angles.

C.) The value of x is 17.

D.) ∠AZC and ∠CZD are a pair of complementary angles.

Answer:

0.07t+t

Step-by-step explanation:

The required new expression after increasing the price by 7% is 1.07t, where t is the original price.

The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.

Cost price is the price for the buyer pays to the seller for an object or product.

Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price  = t + 0.07t
                                    = 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t

Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.

Learn more about cost price here:

https://brainly.com/question/11027396

#SPJ5

Answer:

The answer is a = -15

Step-by-step explanation:

1/3a = -5

3 × 1/3a = 3 × (-5)

a = 3 × (-5)

a = -3 × 5

Answer is a = -15

Answer:

a = 15

Step-by-step explanation:

Just answer

Answer:

m = 2/3, you were correct

Step-by-step explanation:

plot the point on a graph

calculate the rise by going up alongside the y axis

the rise is 2

calcualte the run it takes to get to the second point

the run is 3

m = rise/run = 2/3

m = 2/3

Plz mark as brainliest if correct! Have a nice day!!!

Answer:

36,579.5180

Step-by-step explanationan:

Answer:

The answer is x = -5.

Step-by-step explanation:

1) Subtract 2x from both sides.

[tex]4x + 9 - 2x = - 1[/tex]

2) Simplify 4x + 9 - 2x to 2x + 9.

[tex]2x + 9 = - 1[/tex]

3) Subtract 9 from both sides.

[tex]2x = - 1 - 9[/tex]

4) Simplify - 1 - 9 to -10.

[tex]2x = - 10[/tex]

5) Divide both sides by 2.

[tex]x = - \frac{10}{2} [/tex]

6) Simplify 10/2 to 5.

[tex]x = - 5[/tex]

Therefor, the answer is x = -5.

Answer:

-2, -1

Step-by-step explanation:

Answer: b

Step-by-step explanation: hope this helps

Answer:

Slope = 5/3

Step-by-step explanation:

5x - 3y = 9

Write in slope y-intercept form: y = mx +b

-3y = -5x + 9

Divide the whole equation by (-3)

[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]

Slope =5/3

Answer:

19 nickel = .95

5 dimes = .50

Step-by-step explanation:

.95 + .50 = 1.45

Answer:

70

Step-by-step explanation:

Using the similarity theorem;

AB/BC = AD/AB

x/7+3 = 7/x

x/10 = 7/x

x^2 = 70

x = √70

Hence the required value inside square root is 70