The price of gas goes up to $3.24 per gallon after a 9.4% increase. What was the price before the increase?

[tex]z = 29°[/tex]

Step-by-step explanation:

According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for [tex]\triangle{ABD},[/tex] the sum of its interior angles is

[tex]43 + 59 + x = 180[/tex]

[tex]\Rightarrow x = 78°[/tex]

But [tex]\angle{x}[/tex] is supplementary with [tex]\angle{y}[/tex] so that

[tex]x + y = 180 \Rightarrow y = 180 - 78 = 102°[/tex]

Now that we know the value of y, we apply the triangle angle sum theorem to [tex]\triangle{BDC}[/tex] and we get

[tex]49 + y + z = 180 \Rightarrow 49 + 102 + z = 180[/tex]

Solving for z, we finally get

[tex]z = 29°[/tex]

Answer:

5.Math is a very different one that

Ok

Answer:

2 + (n/4) = 6

Step-by-step explanation:

Answer:

2+(n÷4)= 6

Step-by-step explanation:

hope it helps u

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Answer:

See below

Step-by-step explanation:

What f(3) means is the value of f(x), or "y", when x=3. So, you would go 3 to the right on the x-axis, and then you would go up or down the y-axis until you touch the graph of the function. That will be where f(3) is.

Given a graph of the function f(x), find 3 on the X axis and then look directly up or down from there to find the Y coordinate of the function at that value of X.

f(3) is equal to Y at x=3.

Answer:

Step-by-step explanation:

1. (-4, -2) (4, 0)

   (0 + 2)/(4 + 4)= 2/8= 1/4

2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2

3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2

4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2

Answer:

Step-by-step explanation:

A) $155.75(0.065) = 10.12375 = $10.12

B) $155.75 + $10.12 = $165.87

Answer:

Step-by-step explanation:

Answer:

okkkkkkkkkkkkkkkkkkkk

Answer:

A. dP/dt = 200

The degree of the variable must be one for linear growth. Then the correct option is B.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

If P(t) is the size of a population at time t.

The differential equations have a linear growth in the size of the population. That means the degree of the variable must be one. And the equation of the population will be quadratic. That is given as

[tex]\rm \dfrac{dP}{dt} = 200t[/tex]

In this equation, the degree of the time (t) is one.

Thus, the correct option is B.

More about the differentiation link is given below.

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Answer:

Step-by-step explanation:

x⁴ + x² - 20

(x² + 5)(x² - 4)

(x² + 5)(x - 2)(x + 2)

The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

Given that,
To determine the factor of the expression, x⁴ + x² - 20.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)

Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

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Answer:

Step-by-step explanation:

prism A side area is square of side length

(2x + 3)² = 25x + 25

4x² + 12x + 9 = 25x + 25

4x² - 13x - 16 = 0

x = (13 ±√(13² - 4(4)(-16))) / (2(4))

positive answer is

x = (13 +√425)/8 which is approximately 4.20194...

so side length of B is

4((13 +√425)/8) + 6  which is approximately 22.80776...

Volume is side length cubed

V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...

V = 11,864 units³

Check the picture below.

2 + x = -19 <=> x = -19 -2 = -21

Answer:

Step-by-step explanation:

A whole can be represented as 2.000 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.

So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.

Example:

Suppose the next two numbers 12.88 and 3.1 both have different amounts of number after the decimal point, but with the simplification we can see that the final answer contain 3 decimal places.

But, why this work? Well remember that a decimal can be represented as a fraction of this way

[tex]\frac{1288}{100} \quad \text{and} \quad \frac{31}{10}[/tex]

So if you does the product of these fractions you get the next value:

[tex]\frac{39928}{1000} = 39.928[/tex]

Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method take more time, so is more simply say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.

[tex]\dfrac 54 = \dfrac{25} y\\\\\\\implies \dfrac 14 = \dfrac 5y\\\\\implies y = 4 \times 5 =20[/tex]

Using angle sum property

[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]

[tex]\\ \sf\longmapsto 9x+60=180[/tex]

[tex]\\ \sf\longmapsto 9x=120[/tex]

[tex]\\ \sf\longmapsto x=13.2[/tex]

Answer:

∠5  is supplementary.

It forms a straight angle with ∠1.

Answer:

$14

Step-by-step explanation:

We can make an equation

30%. . . . . .X

--------- = ---------

100. . . . . . .20

Now we cross multiply

100x = 600

x = 6

Now we subtract to find how much we will take home.

20 - 6 = $14 every hour will be made

Answer:

6

Step-by-step explanation:

sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6

Answer:

The ratio would be 5 to 3

Step-by-step explanation:

I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3

The ratio of grapes to cashews that she ate is 5:3.

A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.

Given that, Regina ate 25 grapes and 15 cashews.

We need to simplify the ratio of grapes to cashews that she ate.

The ratio = 25/15

= 5/3

Hence the ratio of grapes to cashews that she ate is 5:3.

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Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)

Step-by-step explanation:

Answer:

I think it is total cost

Answer:

There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.

Step-by-step explanation:

Answer:

[tex]\frac{3}{8}[/tex] ( d + 2)

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] d + [tex]\frac{3}{4}[/tex]

= [tex]\frac{3}{8}[/tex] d + [tex]\frac{6}{8}[/tex] ← factor out [tex]\frac{3}{8}[/tex] from each term

= [tex]\frac{3}{8}[/tex] (d + 2) ← in factored form

Answer:

18/4 Is it correct?

Step-by-step explanation:

4.25

Answer:

30%

Step-by-step explanation:

75% of 40 is 30

The percentage of total applicants that accepts offers of admission is = 30%

The percentage of acceptance for students that apply for entrance is = 40%

The percentage of admitted applicants that accept the offer= 75%

This means that it is only 75% of 40% of the accepted students actually accept the offer of admission.

That is, 75/100 × 40%

= 3000/100

= 30%

Therefore, the percentage of total applicants that accepts offers of admission is = 30%

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Answer:

[tex]<8,10>[/tex]

Step-by-step explanation:

Answer:

Blue (8,10)

Step-by-step explanation:

2(4)=8

2(5)=10

Answer:

b,d,c

Step-by-step explanation:

y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs

For 60 creps, 15 eggs will be needed.

Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served

Now, for 20 creps, 5 eggs are needed.

Then for 1 crep, (5/20) eggs are needed.

For 60 creps, (5/20) x 60 = 15 eggs will be needed.

Therefore, For 60 creps, 15 eggs will be needed.

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Answer:

number of days = 3

total number of pages=135

Step-by-step explanation:

98÷49= 2

37=1 day

total number of days=3days

Total number of pages read=135 pages