What is the measure of Zx in the diagram shown below?
A
23°
B
33°
С
113°
157°

Answer:

$5,030.40

Step-by-step explanation:

The balance outstanding at the end of any month is the due amount after adjusting for interest and loan repayment amount. The amount outstanding can be calculated as:

First month

Due amount = $6,000

Interest at 2% = $6,000*2% = $120

Loan repayment = $600

Reduction in balance = $600 - $120 = $480

Balance remaining = $6,000 - $480 = $5,520

Second month

Due amount = $5,520

Interest at 2% = $5,520*2% = $110.4

Loan repayment = $600

Reduction in balance = $600 - $110.4 = $489.60

Balance remaining = $5,520 - $489.60 = $5030.40

Hence, the balance outstanding at the end of month 2 is $5,030.40

Answer:

Undifined

Step-by-step explanation:

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

Answer:

m<6=54 m<4=126

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The linear function or equation in the slope-intercept form will be y = -4x - 5.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The linear function is given as,

y = mx + c

Here, m is the slope while c is the y-intercept.

Slope m = (-13 + 9)/(2 - 1)

m = -4

Put m = -4, (1,-9)

-9 = -4(1) + c

c = -5

y = -4x - 5

Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".

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Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

yes , the coach break the speed limit and the average speed is 96 km ph

Speed is the time rate at which an object is moving along a path

Given,

A coach travels to the beach which is 576 KM away in 6 hours.

The maximum speed he can travel is speed of 90 kph

We need to check whether the coach breaks the speed limit or not.

Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.

and the average speed he has to maintain is 576/6

96kmph

Hence, yes the coach break the speed limit and the average speed is 96 km ph

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Answer:

50/2.80= 17

17 dounuts

Answer:

3

Step-by-step explanation:

You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

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Answer:

12

bcz he can't put a 0.725 fish so it will be rounded up back to 12

The greatest number of neon tetra fish he puts in the tank is 12.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.

The tank is 55 cm wide, 28 cm long and height is 33 cm.

And the surface of the water in the tank is 3 cm below the top of the tank.

That means,

to determine the volume,

So, the volume of cuboid

= 55 x 28 x 33

= 50820 cubic centimeters.

And we know 1000 cubic centimeters is 1 liter of water.

So, 50820 = 50.820

And divide by 4

We get the greatest number of neon tetra fish he puts in the tank.

50.820 / 4

= 12.705

≈ 12

Therefore, 12 is the required number for neon tetra fish.

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Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Answer:

sorry im just answering this cuz need points

Step-by-step explanation:

Answer:

The answer is 5/6

Step-by-step explanation:

7/12 + 3/12 = 10/12

10/12 = 5/6 ( divide the numerator and denominator by 2)

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!

Answer:

4

Step-by-step explanation:

Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

Explanation :

(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

Answer:

(465 - 75) ÷ 65

She worked for 6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

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