10 is 25% of what number?

Answer:

Step-by-step explanation:

Given

a) The volume formula will be:

As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour

b) Increase of volume by percent:

30 gal increase on top of 150 gal

Answer:

20%

Step-by-step explanation:

The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour

So you can do:

30 gals of increase on top of the 150 gals to get:

30/150×100%  which equals 20%

:)

The sum of the interior angles of a triangle is 180° is proved below.

We are given that;

To prove angle sum property of triangle

Now,

There are different ways to prove that the sum of the interior angles of a triangle is 180°. Here are three common proofs:

Proof : Using parallel lines and alternate interior angles

Since the line PQ is parallel to the side BC, and AB and AC are transversals, we can use the property that alternate interior angles are congruent.

Therefore, we have:

∠QAC = ∠ACB

∠PAB = ∠ABC

Adding these equations, we get:

∠QAC + ∠PAB = ∠ACB + ∠ABC

But ∠QAC + ∠PAB is a straight angle, which measures 180°. So, we have:

180° = ∠ACB + ∠ABC

Adding ∠CAB to both sides, we get:

180° + ∠CAB = ∠ACB + ∠ABC + ∠CAB

Simplifying, we get:

180° = ∠ACB + ∠ABC + ∠CAB

Hence, by the triangles the answer will be given above.

Learn more about the triangles;

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Answer:

$69.37

Step-by-step explanation:

Before Tax Price: $66.00

Sale Tax: 5.10% or $3.37

After Tax Price: $69.37

Answer:

B 15

Step-by-step explanation:

Since the triangle has two same side lengths you can calculate that the other two are 54°.

Answer:

D. 33

Step-by-step explanation:

(3x+9)=72=180

3x + 81     = 180

subtract 81 from both sides

3x =180

divide 3 from both sides to get the x alone

x=33

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Answer:

rate of change is -1/3 (table) and 4 (graph)

Function 2 has the greater rate of change because the graph is steeper, and |4| is bigger than |-1/3|

Step-by-step explanation:

Answer:

(a) Function 1 : -2 Function 2 : 3.

(b) Function 2

Step-by-step explanation:

For function #1, you can calculate the rate of change (another word for slope) by counting the change between each y value. So, when x is 2, y is -3. When x is 3, y is -5. The rate of change is -2!

Show your work by marking an arrow for each y and writing -2.

Function #2, you need to find the slope (rate of change) by drawing a rise/run line when the equation line hits a point on the graph. One point is (-1,1) another point is (0,4). The slope/rate of change is 3.

Answer:

To much to count

Step-by-step explanation:

Answer:

On a calculator you would get 120.008264463

other wise know as 120 1/121

Answer:

m=-4

Step-by-step explanation:

Answer:

take 1 - 4 you should get answer

Step-by-step explanation:

4x + y = 1

Answer: For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical extent of the graph, so the domain and range include all real numbers.

Step-by-step explanation:

Answer:

x=−3±√5

Decimal Form:

x=−0.76393202…,−5.23606797

So D would be your answer

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

Answer:

ok I won't

Step-by-step explanation:

Answer:

last answer D

i took the test

The expression that most effectively represents u's value would be:

D). u = 2s

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given that,

In ΔABC,   E is the midpoint in the segment AC and  D is the midpoint of BC.

Now,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

CE/AC = CD/CB = ED/AB = 1/2        

As ED = s and AB = u

So,  u = 2s    

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Answer:

x=67

Step-by-step explanation:

Two ways to solve it:

1st way: Just looking at it, x is definitely not 180° because it’s to big of an angle, it is definitely not 113° because it’s still to big of an angle, and it’s also not 90° because it doesn’t form a right angle. So it must be 67°.

2nd way: Since two angles in a straight line add up to 180°, you can subtract 113° from 180° to find what x is. You can tell that 180° - 113° is equal to 67°

So either way, the answer is: x=67

Hope this helped! :)

Answer:   or (1,1)

Step-by-step explanation:

You can apply the Method of substitution.

Knowing that   (second equation), you can substitute it into the first equation and solve for the variable y:

Now you need to substitute  into the second equation  to calculate the value of the variable x. Then:

Then, the solution is:

or (1,1)

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

[tex]\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84[/tex]

The formula for z-score:

[tex]\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778[/tex]

Answer:

300 children

Step-by-step explanation:

half hour: 25 children

1 hour: 25×2= 50 children

6 hours: 50×6= 300 children

hope it helps ☺️!

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Range is Y and the point is -4 to 2

Answer:

84ft

Step-by-step explanation:

one side of the house is 14 units

since 1unit=6ft

Length of one side of her house= 14(6)=84ft

Answer:

H= 23

Step-by-step explanation:

92 divided by 4 will give you 23

Answer:

h = 23

Step-by-step explanation:

Divide each term by 4 and simplify.

Answer with explanation:

The equation of a line passing through (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passing through (2,-1) and (6,5) is given by :-

[tex](y-(-1))=\dfrac{5-(-1)}{6-2}(x-2)\\\\\Rightarrow\ (y+1)=\dfrac{6}{4}(x-2)[/tex]

[tex]\\\\\Rightarrow\ (y+1)=\dfrac{3}{2}(x-2)\ \ \ \ \ \text{[point slope form} : (y-y_1)=m(x-x_1)] \\\\\Rightarrow\ y+1=\dfrac{3}{2}x-3\\\\\Rightarrow\ y=\dfrac32x-4\ \ \ \ \ [\text{ slope intercept form} : y= mx+c]\\\\\Rightarrow\ 2y= 3x-2\times4\\\\\Rightarrow\ 2y=3x-8\\\\\Rightarrow\ 3x-2y=8 \ \ \ \ [\text{Standard form : Ax + By = C}][/tex]

Answer:

sas :)

Step-by-step explanation:

Answer:

15.6 feet of fence

Answer:

The answer is 45 ft. I hope i helped <3

Step-by-step explanation:

Answer:

a = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8a - 15 - 6a + 3a = 85

Step 2: Solve for a