12.
Find x and y in trapezoid TRAP below.

Answer:

  A, D

Step-by-step explanation:

The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...

  (independent variable, dependent variable) = (cans, balls)

Then the point (2, 6) corresponds to (2 cans, 6 balls).

The applicable descriptive statements are ...

  A.  2 cans contain 6 tennis balls

  D.  There are 6 tennis balls in 2 cans

Answer:

y = 9280 - 20x

Step-by-step explanation:

Answer:

r = \(\frac{29x}{2\pi }\)

x = \(\frac{2\pi r}{29}\)

Step-by-step explanation:

C = 2\(\pi\)r

29x = 2\(\pi\)r  --------- (i)

divide both sides of (i) by 2\(\pi\)

r =  \(\frac{29x}{2\pi }\)

but when you divide both sides of (i) by 29, you get

x = \(\frac{2\pi r}{29}\)

Answer: its around 25,000 during the end of august

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=10

Answer:

1) (12x² - 21) ft²

2) (16x² - 42) ft²

3) (28x² - 63) ft²

4) a) 747 ft²

b) 982 ft²

c) You will need 235 more square feet of wallpaper for the living room than the family room.

Step-by-step explanation:

LSA of cuboid = 2h(l + b)

1) h = x, l = 3x and b = 3x

ar(walls) = 2(x)(3x + 3x)

= 2x(6x)

= 12x²

ar(door) = width* height

= 3*7

= 21

Paper for room = ar(walls) - ar(door)

= (12x² - 21) ft²

2) h = x, l = 5x and b = 3x

ar(walls) = 2(x)(5x + 3x)

= 2x(8x)

= 16x²

ar(doors) = 2* ar(door)

= 2*21      (ar(door) = 21 from Q1)

= 42

Paper for room = ar(walls) - ar(doors)

= (16x² - 42) ft²

3) Total paper = paper for living room + paper for family room

=  12x² - 21 + 16x² - 42

=  (28x² - 63) ft²

4) x = 8

a) living room: 12x² - 21

= 12(8²) - 21

= 747 ft²

b) family room: 16x² - 42

= 16(8²) - 42

= 982 ft²

c) Difference in area: 982-747

= 235 ft²

You will need 235 more square feet of wallpaper for the living room than the family room.

We can see here that the areas are:

1) (12x² - 21) ft²

2) (16x² - 42) ft²

3) (28x² - 63) ft²

4) a) 747 ft²

b) 982 ft²

c)  235 more square feet of wallpaper will be needed for the living room than in the family room.

Area refers to the extent or size of a two-dimensional surface or region. It is a measurement of the amount of space enclosed within the boundaries of a shape or an object.

In mathematics, area is typically expressed in square units, such as square meters (m²), square centimeters (cm²), square inches (in²), or square feet (ft²).

Below is how the above answers were gotten:

LSA of cuboid = 2h(l + b)

1) h = x, l = 3x and b = 3x

area(walls) = 2(x)(3x + 3x)

= 2x(6x)

= 12x²

area(door) = width × height

= 3×7

= 21

Paper for room = area(walls) - area(door)

= (12x² - 21) ft²

2) h = x, l = 5x and b = 3x

area(walls) = 2(x)(5x + 3x)

= 2x(8x)

= 16x²

area(doors) = 2 × ar(door)

= 2 × 21      (area(door) = 21 from Q1)

= 42

Paper for room = area(walls) - area(doors)

= (16x² - 42) ft²

3) Total paper = paper for living room + paper for family room

=  12x² - 21 + 16x² - 42

=  (28x² - 63) ft²

4) x = 8

a) living room: 12x² - 21

= 12(8²) - 21

= 747 ft²

b) family room: 16x² - 42

= 16(8²) - 42

= 982 ft²

c) Difference in area: 982-747

= 235 ft²

235 ft² more square feet of wallpaper for the living room than the family room.

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Answer:

a) no roots not in LHP

b) 2 roots not in LHP

c) 2 roots not in the LHP

d) 2 roots not in the LHP

e) 2 roots not in LHP

Step-by-step explanation:

No, using divisibility test we find that 3194 is not divisible by 3.

According to the rule of three, if a whole number's digit sum is a multiple of three, the original number is also divisible by three. It is simple to determine if a lower number is divisible by 3 or not using the three-digit multiplication table or skip counting by three (beginning at 0 and adding 3). Without actually dividing larger numbers, we can determine if they are entirely divisible by three or not.

If a whole number's digit sum is a multiple of three or precisely divisible by three, it is said to be divisible by three.

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this question is incomplete, the complete question is

3194 is divisible by 3 yes or no?

Answer:

N=14

Step-by-step explanation:

The first thing you want to do is write 2016 as its prime factorization: 2016 = 25*32*7. The 32 is already a square. We need too multiply one more factor of 2 to make 26, which has 23 = 8 as its square root. We also need to multiply by 7 to give 72. Therefore, to make a perfect square out of 2016, we need to multiply by 2*7 = 14. So, N  =14.

I don't know if this really helps but i hope it helps!

If Jasmine saves $10 per week and her sister saves $7 per week, then Jasmine will have more "money-saved" than her sister in 10 weeks.

Let the number of weeks be denoted by "x",

We know that,

The Jasmine's initial-savings is = $50,

The amount which Jasmine weekly saves is = $10,

Her sister's initial savings is = $80,

The amount which her sister weekly-saves is = $7,

We have to find the value of "x" when Jasmine's savings exceed her sister's savings.

Total saving's of Jasmine after "x" weeks is calculated as,

⇒ Jasmine's total savings = Initial savings + (Weekly savings × Number of weeks),

⇒ $50 + ($10 × x),

Her sister's total savings after "x" weeks can be calculated as:

⇒ Sister's total savings = Initial savings + (Weekly savings × Number of weeks),

⇒ $80 + ($7 × x),

We write the equation to find the value of "x" when Jasmine's total savings exceed her sister's total savings,

⇒ 50 + 10x > 80 + 7x,

⇒ 50 + 10x - 80 > 7x,

⇒ 50 - 80 > 7x - 10x,

⇒ -30 > -3x,

⇒ -30/-3 < x,

⇒ 10 < x,

Therefore, Jasmine will have more money than her sister is after 10 weeks.

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Answer:

With what?

Step-by-step explanation:

Answer:

cant help uoi b1t ch

Step-by-step explanation:

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: \(8\) ÷ \(1\frac{3}{5}\)

Find common denominator and write the numerators above common denominator: \(\frac{8}{\frac{5}{5} +\frac{3}{5} }\)

Write the numerators over common denominator: \(\frac{8}{\frac{5+3}{3} }\)

Calculate the sum or difference: \(\frac{8}{\frac{8}{5} }\)

Divide a fraction by multiplying its reciprocal: 8 × \(\frac{5}{8}\)

Cross out the common factor: 5

get the result: 5  

Answer: 5

Answer:

Step-by-step explanation:

The following function models the cost, in dollars, of a rug with width x feet.

Therefore, if we want to determine

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangles is 180°

so

180 - 39 - 102 =

39

(it is an isosceles triangle)

In the given triangle the value of x° = 39°.

" A triangle is defined as the two dimensional closed shape with three sides , three vertices and three angles enclosed in it."

Theorem used

In ΔABC,

∠A + ∠B + ∠C = 180°

According to the question,

In the given triangle,

∠A represents measure of 102°

∠B represents measure of 39°

∠C represents measure of x°

Substitute the value in the triangle theorem   we get,

102° + 39° + x° = 180°

⇒141° + x° = 180°

⇒ x° = 180° - 141°

⇒ x° = 39°

Hence, in the given triangle the value of x° = 39°.

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Answer:

Option (3)

Step-by-step explanation:

The ramp shown in the figure is in the shape of a triangular prism.

Therefore, total surface area of this ramp = Area of the triangular sides + Area of the base + Area of the vertical side + Area of the slanting side

Area of the triangular sides = \(2[\frac{1}{2}(Base)\times (h)]\)

                                              = bh

                                              = 4×3

                                              = 12 square feet

Area of the rectangular base = Length × Width

                                                = 4 × 8

                                                = 32 square feet

Area of the vertical side = Length × Width

                                        = 3 × 8

                                        = 24 square feet

Area of the slanting side = Length × width

                                         = 8×5

                                         = 40 square feet

Total surface area = 12 + 32 + 24 + 40

                              = 108 square feet

Option (3) will be the answer.

Answer:

C (108)  

Im on the test right now  ~edge~

Answer:

5 hours

Step-by-step explanation:

First of all, Joe goes 20 mi per 2 hours. If you divide the 20 by 2, it takes Joe 1 hr to drive 10 mi. So, If you add 2hr by 2 hr, then you get 4 o mi. Then, add 1 more hour, then you get 20+20+10=50. It takes him 5 hours to go 50 mi.

7 but the one is 4 because 7×4=28 then + 4= 32

With that information we can create the equation

10x + 5000 = 20x

where x is the number of earphones produced

10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20

Now to solve the equation:

subtract both sides by 10x

10x - 10x + 5000 = 20x - 10x

5000 = 10x

Now divide both sides by 10

5000/10 = 10/10 x

500 = x

Answer: D

Hope it helps :)

500 earphones must be produced to get the cost price of one ear phone of $20.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

The start-up costs for manufacturing earphones is $5,000.

Also, the cost to make earphones is $10.

Let x number of  earphones will produced to get a cost per unit of $20.

From the given conditions, we will get a linear equation in one variable

10x + 5000 = 20x

⇒ 5000 = 20x -10x

⇒ 5000 = 10x

⇒ x = 500

Hence, 500 earphones must be produced to get the cost of earphone of $20.

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Answer:

a = - 1/2b + 1/6w + 2/3

Step-by-step explanation:

w= 3(2a+b) - 4

Add 4 on both sides.

w + 4 = 3(2a+b)

Divide 3 into both sides.

w/3 + 4/3 = 2a+b

Subtract b on both sides.

w/3 + 4/3 - b = 2a

Divide 2 into both parts.

w/3/2 + 4/3/2 - b/2 = a

a = w/6 + 4/6 - b/2

a = 1/6w + 2/3 - 1/2b

Answer:

a=(w-3b+4)/6

Step-by-step explanation:

w= 3(2a+b) -4

w=6a+3b-4

6a= w-3b+4

a=(w-3b+4)/6

Answer:

30 ft squared of border

Step-by-step explanation:

You need to find the area in order to find out how many feet she used.  Length x Width = Area

5x6=30 ft squared

Answer:

30 ft

Step-by-step explanation:

su

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Answer:

Bro

Step-by-step explanation:

sorry

Answer:

\(\frac{x+3}{x}\)

Step-by-step explanation:

Given

\(\frac{x^2-9}{x^2-3x}\) factorise numerator and denominator

x² - 9 = (x - 3)(x + 3) ← difference of squares

x² - 3x = x(x - 3) , thus

= \(\frac{(x-3)(x+3)}{x(x-3)}\) ← cancel (x - 3) on numerator/ denominator, leaving

= \(\frac{x+3}{x}\)

Answer:

the pickup truck went 45 mph

the bus went 30mph

Step-by-step explanation:

uh i just guessed tbh & got it right

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, Gregg cut 4 sections of pizza dough.

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

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Work Shown:

\(-\frac{5}{4} \div \frac{1}{4}\\\\-\frac{5}{4} \times \frac{4}{1}\\\\-\frac{5\times4}{4\times1}\\\\-\frac{5}{1}\\\\-5\)

Whenever you divide fractions, you flip the second fraction and multiply. In this case, the '4's cancel.