2. You and 5 friends went out to eat at Little Italy.
The bill was split equally and each person paid
$13.26. Write and solve an equation to find the
amount of the total bill.

Answer:

there is no attached file

Step-by-step explanation:

Answer: 9:4

Step-by-step explanation:

I think

Answer:

$715.50 my dudeeee

Step-by-step explanation:

..........

Ralph pays a total of $715.5 for the computer including the sales tax amount.

Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.

Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.

Actual price of the computer = $675

Sales tax rate = 6%

Ralph has to pay the actual price and in addition the sales tax to buy the computer.

Amount of sales tax = 6% × 675

                                 = (6/100) × 675

                                 = 0.06 × 675

                                 = $40.5

Ralph should add $40.5 to the actual price.

Total payment made for buying the computer = $675 + $40.5

                                                                             = $715.5

Hence Ralph pays a total amount of $715.5 for the computer.

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Step-by-step explanation:

Angle FAB = Angle BHC = 48° (Z-angles)

By Exterior Angle Theorem,

Angle ABC = Angle BHC + Angle ECB.

=> Angle ABC = 48° + 18° = 66°.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

X+4²=2  Equation

Step 2

X+4²=2  4x4

x+4^2=2

Step 3

x+4^2=2  subtract 4^2

answer

x=-14

hope this helps

Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between 0° and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

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Answer:

k=27

Step-by-step explanation:

Answer:

direct variation is y = kx

k is the slope of the line y = mx + b

i don't know that last one, sorry

Step-by-step explanation:

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

Answer:

fffffffffffffffffffffffffffffffffffffffffff

Step-by-step explanation:

Answer:

(3,-1)

I took the test, it said it was right.

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]

Step-by-step explanation:

If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

Answer:

The value of a is 63° and the value of b is 27°

Step-by-step explanation:

In the given figure

∵ OA, OB, and OC are radii of the circle O

→ The radii of a circle are equal

∴ OA = OB = OC

In Δ AOC

∵ OA = OC

∴ Δ AOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OAC and ∠OCA are the base angles of the triangle

∴ m∠OAC = m∠OCA

∵ m∠OAC = a°

∴ m∠OCA = a°

→ The sum of angles in any triangle is 180°

∵ a° + a° + m∠AOC = 180°

∵ m∠AOC = 54°

∴ a° + a° + 54 = 180°

→ Add the like terms

∴ 2a° + 54 = 180°

→ Subtract 54 from both sides

∴ 2a° = 126°

→ Divide both sides by 2

∵ m∠OAC = m∠OCA = 126 ÷ 2

∴ a° = 63

∴ The value of a is 63°

In ΔBOC

∵ OB = OC

∴ Δ BOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OBC and ∠OCB are the base angles of the triangle

∴ m∠OBC = m∠OCB

∵ m∠OBC = b°

∴ m∠OCB = b°

∵ ∠AOC is an exterior angle of ΔBOC at the vertex O

→ The measure of the exterior angle equals the sum of the measure

    of the opposite interior angles to this vertex

∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC

∴ m∠OBC + m∠OCB = m∠AOC

→ Substitute their measures

∵ b° + b° = 54°

→ Add the like terms

∴ 2b° = 54

→ Divide both sides by 2

∴ b° = 27

∴ The value of b is 27°

Answer:

She originally bought either 20 or 32 shares

Step-by-step explanation:

An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Let the number of shares she bought be represented by 1600/x

This is calculated as:

1600/x  = 1120/x + 10  + 4

Multiply through by (x)(x - 10)

1600(x-10) = 1120(x) + 4(x)(x - 10)

1600x - 16000 = 1120x + 4x² - 40x

Collect like terms

4x² + 1120x - 1600x - 40x +16000 = 0

4x² - 520x + 16000 = 0

Using the Almighty formula method

= -b ± √b²- 4ac/2a

a = 4, b = -520 , c = 16,000

Hence:

= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4

= 520 ± √14400/8

= 520 ± 120/8

520 - 120/8

= 400/8

= 50

520 ± 120/8

= 520 + 120/8

= 640/8

= 80

Since we have:

1600/x

When x = 50

= 1600/50

= 32

When x = 80

= 1600/80

= 20

Therefore, she originally bought either 20 or 32 shares

Answer:

The answer is y² - 23y + 120.

Step-by-step explanation:

The steps to do :

g(x) = x² - 7x

g(y - 8) = (y - 8)² - 7(y - 8)

g(y - 8) = y² - 16x + 64 - 7y + 56

g(y - 8) = y² - 23y + 120

g(y-8) is equal to the quadratic expression y² - 23y + 120.

To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.

Replacing x with y-8, the function becomes:

g(y-8) = (y-8)² - 7(y-8)

To simplify, we expand and simplify the expression:

(y-8)² = (y-8)(y-8) = y² - 16y + 64

-7(y-8) = -7y + 56

Combining the terms, we have:

g(y-8) = y² - 16y + 64 - 7y + 56

Simplifying further:

g(y-8) = y² - 23y + 120

Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.

By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.

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Answer:

The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)

Step-by-step explanation:

The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing

The given parameters of the scale drawing are;

The scale of the drawing is 1 cm = 2 m

The dimensions of the rectangle representing the garden in the scale drawing is given as follows;

The width of the rectangle = 2.5 cm

The length of the rectangle = 4 cm

The required location where the tree is to be planted = 7 m from A and 4 m from point C

Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C

Taking the coordinate of point A as the origin, we have;

The coordinates of point A = (0, 0)

∴ The coordinates of point C = (4, 2.5)

The general equation of a circle is (x - h)² + (y - k)² = r²

Where, (h, k) is the coordinate of the center of the circle

The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C

Therefore, for point A, we have;

(x - 0)² + (y - 0)² = 3.5²

x² + y² = 12.25...(1)

For point C, we have;

(x - 4)² + (y - 2.5)² = 2² = 4

Which gives;

x² - 8·x + 16 + y² - 5·y + 6.25 = 4

x² + y² - 8·x - 5·y + 22.25 = 4

We have x² + y² = 12.25 from equation (1), therefore, we have;

12.25 - 8·x - 5·y + 22.25 = 4

- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5

∴ 8·x + 5·y = 30.5

y = (30.5 - 8·x)/5

Therefore, we have;

x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25

Using a graphing calculator we get;

356·x² - 1952·x + 2496 = 0

Which gives;

x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)

x = 3.452197227 or 2.03094884081

To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;

Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368

or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547

y = 0.5764844368 or 2.8504818547

To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;

(3.45, 0.58) or (2.03, 2.85)

We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.

Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)

Answer:

Step-by-step explanation:

Make sure to use protractor and cross tools to get full marks

Thank you

Answer:

Ik where u got this q from but:

small bag is £3.60

large is $3.80

Step-by-step explanation:

the 500 grams x 4 to get 2kg then do 90p x 4

then

4kg divided by 2 to get 2kg as the question states, then do £7.60/2

hegarty maths anyone?

Answer:

quadratic

Step-by-step explanation:

because there is a consistent change within the change

srry it sounds confusing but trust me haha

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

Answer:

x = 2

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )

14x = 28 ( divide both sides by 14 )

x = 2

Answer:

Table 1 does not represent a function.

Table 2 does not represent a function.

Step-by-step explanation:

                                                 Table 1

Input (x)               1             3          5              5           9        

Output (y)             7            16         19             20       28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 1 does not represent a function.

                                              Table 2

Input (x)               0.5         7          7               12        15      

Output (y)              1           15         10             23        30

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 2 does not represent a function.

Conclusion:

We have concluded that both tables do not represent the function.

Answer:

format is wrone

i will answer then

Step-by-step explanation:

Answer:

B. 20 = 2g

Step-by-step explanation:

What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.

Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer:

thanks for the free points

Step-by-step explanation:

Answer:

can u answer these ones

Step-by-step explanation: