The average of 13, 15, 20 and x is 18. What is the value of x?​

Answer:

Go to Khan Academy and Search "Finding Slope from graph"

Step-by-step explanation:

That video will help better instead of typing it!

3s represents three times Sydney's age. Sydney's age is symbolized with an S.

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

EXPLANATION

Given the parabola y=x^2+4x+3 and the line x-y=-1

We can draw both functions by taking some points of x and drawing the y-values as shown as follows:

As we can see, the solutions are at (-2,-1), (-1,0)

The proposed skyscraper is 172.8 m tall

From the question, we are to determine the how tall the proposed skyscraper is in meters

From the given information,

The scale of the model is

1 in : 7.2 m

and

The model is 2 ft tall

First, convert 2 ft to inches

NOTE: 1 foot = 12 inches

∴ 2 feet = 2 × 12 inches

= 24 inches

Now,

If 1 inch represents 7.2 m

Then,

24 inches will represent 24 × 7.2 m

24 × 7.2 m = 172.8 m

Hence, the proposed skyscraper is 172.8 m tall

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Answer:

250

Step-by-step explanation:

From the question given above,

y varies directly as the cube of x. This can be written as

y ∝ x³

y = Kx³

Next, we shall determine the value of the constant (K) as follow:

y = 54

x = 3

K =?

y = Kx³

54 = K × 3³

54 = K × 27

Divide both side by 27

K = 54/72

K = 2

Finally, we shall determine the value of y when x is 5.​ This can be obtained as follow:

x = 5

K = 2

y =?

y = Kx³

y = 2 × 5³

y = 2 × 125

y = 250

Therefore, the value of y is 250

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Answer:

Hold

Step-by-step explanation:

Answer:

80% chance of picking the purple bow

Step-by-step explanation:

1 blue bows : 4 purple bows

4/5= .80 as a percent

.80= 80%

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

The solution to the equation -3x - 6 = -4x + 5 is x = 11.

What is equation?

An equation is a mathematical statement that uses an equals sign (=) to show that two expressions have the same value.

To solve for x in the equation -3x - 6 = -4x + 5, we need to isolate the variable x on one side of the equation. We can do this by adding 4x to both sides of the equation to eliminate the negative 4x term on the right-hand side:

-3x - 6 + 4x = -4x + 5 + 4x

Simplifying the left-hand side by combining like terms, we get:

x - 6 = 5

Finally, to isolate x, we add 6 to both sides of the equation:

x - 6 + 6 = 5 + 6

Simplifying the left-hand side and the right-hand side, we get:

x = 11

Therefore, the solution to the equation -3x - 6 = -4x + 5 is x = 11.

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The equation holds true, confirming that each cake Costs 1.50 pounds.

Given that Nazmin bought three of the same cakes and a milkshake, the total cost was 7.40 pounds. We also know that the milkshake alone cost 2.90 pounds.

If we add the cost of the three cakes (3x) to the cost of the milkshake (2.90), it should equal the total cost of 7.40 pounds.

Therefore, we can write the equation:

3x + 2.90 = 7.40

To find the cost of each cake, we need to solve this equation for "x".

Subtracting 2.90 from both sides of the equation:

3x = 7.40 - 2.90

3x = 4.50

Dividing both sides of the equation by 3:

x = 4.50 / 3

x = 1.50

So, each cake costs 1.50 pounds.

To verify our solution, we can substitute the value of x back into the original equation:

3(1.50) + 2.90 = 7.40

4.50 + 2.90 = 7.40

7.40 = 7.40

The equation holds true, confirming that each cake costs 1.50 pounds.

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Answer:

The answer is A

Step-by-step explanation:

The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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Answer:

-3

Step-by-step explanation:

Answer:

b is the correct answer

Option B situations do the quantities combine to make 0.

Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities. These are also known as mathematical operations.

Addition

The addition is a basic mathematical skill of finding or calculating the total of two or more numbers, or we can say in simple words adding things together. It is denoted by the symbol ‘+’.

Subtraction

The subtraction arithmetic operation shows the difference between two numbers. It is denoted by the symbol ‘-‘. Subtraction is mostly used to find out what is left when things are taken away.

Multiplication

The repeated addition is known as multiplication. It is represented by the symbol ‘×’. Multiplication as an arithmetic operation helps us to find out the total when a number is repeating itself a number of times.

Division

The division is an act of dividing something into equal parts or groups. It is one of the four basic arithmetic operations which gives a fair result of equal sharing.

Option A :

Given

A bird flies 25 feet up in the air. It then flies 25 feet across to its

nest.

So, total distance flown by bird = 25 + 25 = 50 feet

Which do not combine to 0.

Option C :

A player in a game earns 4 points for getting an answer right. She

then earns 4 points for making it around the board.

Hence, total points earned = 4 + 4 = 8

Which do not combine to 0.

Option D :

A car is filled with 10 gallons of gas, Half of the 10 gallons are

then used on a day's drive.​

= 10 - \(\frac{1}{2}\) × 10

= 10 - 5

= 5

Which do not combine to 0.

Option B :

Veronica receives $21 for babysitting. She then spends $21 on a

new shirt.

So net amount left with Veronica = 21 - 21 = 0

Hence, it combines to zero.

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Answer:

Surd mode??

Step-by-step explanation:

The equatiοn οf the vertical asymptοte fοr f(x) is x = -3.

The end behaviοr οf f(x) is pοsitive οr negative infinity.

The x-intercept fοr f(x) is  (5,0).

A vertical asymptοte is a line that a curve apprοaches but never tοuches οr crοsses as the input variable apprοaches a certain value. In οther wοrds, a vertical asymptοte is a vertical line οn a graph that the functiοn apprοaches as the input variable apprοaches a specific value οr set οf values.

Tο find the equatiοn οf the vertical asymptοte fοr f(x) = (4x-20)/(x+3), we need tο identify the values οf x that make the denοminatοr οf the functiοn equal tο zerο.

Setting the denοminatοr equal tο zerο, we get:

x + 3 = 0

Sοlving fοr x, we get:

x = -3

Therefοre, the equatiοn οf the vertical asymptοte fοr f(x) is x = -3.

Tο determine the end behaviοr οf f(x) as x apprοaches infinity, we can use the fact that the degree οf the numeratοr is greater than the degree οf the denοminatοr. This means that the functiοn will apprοach infinity as x apprοaches pοsitive οr negative infinity.

Tο find the x-intercept fοr f(x), we need tο set the numeratοr οf the functiοn equal tο zerο and sοlve fοr x.

Setting the numeratοr equal tο zerο, we get:

4x - 20 = 0

Sοlving fοr x, we get:

x = 5

Therefοre, the x-intercept fοr f(x) is (5,0).

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Answer:

Rectangular prism)1344

Rectangular pyramid)138.53

Cylinder)326.73

Cone)400.21

Triangular prism) I don't know the answer because I can't tell what sides the length is for

Answer: 40%

Step-by-step explanation:

Percentage of people that have red towels = 49%

Percentage of people that have blue towels = 11%

Therefore, the percentage of the people at the beach have white

towels will be:

= 100% - (49% + 11%)

= 100% - 60%

= 40%

Therefore, the answer is 40%.

Answer:

40%

Step-by-step explanation:

Just took the test

Answer:

5.25

Step-by-step explanation:

Using multiplication, if you do 4x5 you get 20, so adding .25 to the equation will add 1, therefore 20+1=21

So long story short 4 x 5.25 = 21

The arcs FA, AB, and BF make up the entire circle, so their measures sum to 360°:

arcFA + arcAB + arcBF = 360°   →   arcBF = 360° - 160° - 140° = 60°

By the inscribed angle theorem, angle BAF has measure equal to half of that of arc BF, so

angleBAF = 30°

By the secant-tangent theorem (not sure if there's an official name for it), the measure of angle ACF is equal to half the difference of the arcs it intercepts, namely BF and FA, so that

angleACF = 1/2 (arcFA - arcBF) = 1/2 (160° - 60°) = 50°

Now use the law of sines for solve for FA:

sin(angleACF) / FA = sin(angleBAF) / FC

sin(50°) / FA = sin(30°) / 10

FA = 10 sin(50°) / sin(30°) ≈ 15.3

Answer:

\(A = 120\,cm^{2}\)

Step-by-step explanation:

(The following problem has been presented in Portuguese and for that reason explanation will be presented in Spanish, which has some simillarities with Portuguese)

Sean \(x\) y \(x + 7\) el largo y la altura del rectángulo, el perímetro y el área de la figura están dados por las siguientes expresiones:

\(p = 2\cdot (2\cdot x+7)\) y \(A = x\cdot (x+7)\)

Se determina el valor de x a partir de la expresión del perímetro:

\(46 = 4\cdot x +14\)

\(4\cdot x = 32\)

\(x = 8\,cm\)

Finalmente, el área del rectángulo es:

\(A = (8\,cm) \cdot (15\,cm)\)

\(A = 120\,cm^{2}\)

Answer:

you need a answer I can see 425

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

Answer:

7/48

Step-by-step explanation:

First, you would find common denominator

1/12 + 1/16 = 1*4/12*4 + 1*3/16*3 = 4/48 + 3/48 = 7/48

or

Add 4/48 + 3/48 = 4+3/48= 7/48