Solve for the exact values of x and y.
x =
y =

Answer:

t=11

Step-by-step explanation:

so to start we subtract 8 from both sides to get...

5t=63-8

5t=55

now we just divide 5 from both sides so we just have t

t=11

Answer:

t=11

Step-by-step explanation:

Subtract 8 from both sides to get 5t=55 then divide by 5 to get t=11

Answer:

multiply the number with 4

Step-by-step explanation:

2 8 32 128

2x4 =8

8×4=32

32×4=128

128×4=512

[tex]\text{First term,}~ a =2\\\\\text{Common ratio,}~ r = \dfrac{8}2 = 4\\\\\text{Nth term} = ar^{n-1}\\\\\text{7th term} = 2 \cdot 4^{7-1} = 2 \cdot 4^6=8192\\ \\\text{Hence, the 7th term in the geometric series is 8192.}[/tex]

Answer:

Step-by-step explanation:

Givens

L = 5

w = 3

Formula

Area = L*w

Solution

Area = 3 * 5

Area = 15

Now double both the width and the Length.

New Length = 2*5 = 10

New Width = 2 * 3 = 6

Area = New Length * New Width

Area = 10 * 6

Area = 60

Answer (look at the choices)

The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A

The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B

C is the answer

D is you multiply 8 * 15, do you get 60? No so the answer is not D

Answer:

Step-by-step explanation:

the number of people that read the Kantipur or gorkhapatra or the  Himalaya Times = 65 + 10 = 75

Then

The number of people that didn't read all three papers = 100 - 75 = 25

Kate can see across the horizon by 3.33 times further than Paul.

The volume of the cone can be used to determine how far they can see across the horizon from the cone shape.

Using the volume of the cone

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

For Kate:

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]

V = 2.12526863 × 10¹⁵ m³

For Paul

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.

Binomial distributions consist of n independent Bernoulli trials.

The expected value will be given as

E(X) = np

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.

If 10 donuts are sold.

Then the number of the sprinkles will be

The probability will be

p = 3/6

p = 0.5

n = 10

Then the expected value of the number of the sprinkles will be

E(x) = 10 x 0.5

E(x) = 5

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Answer:

M=3ft

Step-by-step explanation:

Use trigonometric ratio Sin to get M which is the opposite side of the given angle of 30°

[tex]sin = \frac{opp}{hyp} [/tex]

[tex]sin30 = \frac{m}{6} [/tex]

Multiply 6 on both sides:

[tex]6sin30 = m[/tex]

Use a calculator:

3=M

or..

use special angles:

Sin30=0.5

6×0.5=3

Therefore M is 3 ft

Answer:

Y=45x

Step-by-step explanation:

Y = f(x)

If you plot a chart, you can find that relation is just a linear relation. So y = mx + c

By putting any one case into the equation, you can find c = 0 and m = 45

Retest the equation for other cases to ensure u are correct

Answer:

b because it is

Step-by-step explanation:

153.2 is a cool number

The classification of the shapes into the categories described is as follows;

Plane shapes have peculiar characterization in each case. A triangle can either be isosceles (2 sides of equal length) or right (90⁰ angle measure).

Rectangles, squares and Parallelograms all have parallel sides.

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Answer:

See below ~

Step-by-step explanation:

Answer:

22 in. and o.5 ft i think so

Answer:

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Step-by-step explanation:

Let x be the age (in years of Alice and Malice (They have the same age because they are twins).

Age of Bob: x+8  (because he is 8 years older than the twins).

Then the sum of their three ages is 23:

x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23

2x + ( x+8) = 23

3x+8 = 23

3x = 15

(3x)/3 = 15/3

x = 5

So ...

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Answer:

0.0064

Step-by-step explanation:

Probability (2 sets of twins) :

Answer:

The correct answer is b)

Step-by-step explanation:

Using the area of a rectangle, the total floor area to be tiled = area of the dinning room + area of the lounge floor = 32 m²

The area of rectangle = (length)(width).

Total floor area to be tiled = area of the dinning room + area of the lounge floor

Total floor area to be tiled = (4)(5) + (3)(4)

Total floor area to be tiled = 20 + 12

Total floor area to be tiled = 32 m²

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Answer:

4.0  

Step-by-step explanation:

Here is one way

By pythag theorem  AD = sqrt (5,5^2 - 4.3^2) =3.42928564

Then pythag theorem again for the lower triangle

   BD = sqrt (5.3^2 - 3.42928564^2) = 4.041

Answer: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Answer:

2.25 square inches

Step-by-step explanation:

SOLUTION,

HERE,

AREA OF SQUARE = L²

=(1.5)²

= 2.25 INCHES²

Answer:

2.25 inches

Step-by-step explanation:

The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.

Answer:

(x-6)^2+(y-5)^2=16

Step-by-step explanation:

Focus on the center point ONLY and change the signs of those numbers to negative for your equation. Count how much the outer circle moves back (which is 4) and times that as your radius

Answer:

The rule is "add 5, add 10, add 20" and the rule keeps doubling.

The two inequalities will be L>W-4 and (L x W) ≤ 32.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

It is given that:-

The length of the garden should be at least 4 ft shorter than the width

The distance around should be no more than 32 ft

The two inequalities will be as follows:-

a)The length of the garden should be at least 4 ft shorter than the width

L>W-4

b)The distance around should be no more than 32 ft

(L x W) ≤ 32.

Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.

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Answer:

1, because 5 and 14 are divisible by no other number except themselves in this instance only, and for this case, that only number is 1.

Your answer is 1.

Hope this helps

Answer:

1) $181.40

2) $100

3) $81.40

Step-by-step explanation:

Interest rate is 1.5% which mans that the decimal multiplier is 1.015.

1) To find for 40 yrs we do:

40 yrs = 100 x [tex]1.015^{40}[/tex]

           =  $181.40

2) He contributed $100

3) He gained $181.40 - $100

   = $81.40

Answer:

B - 181/500

Step-by-step explanation:

To convert percentages to fractions you divide by 100. That would make this 36.2/100. But we dont like fractions with decimal points in so you would multiply the whole thing by 5 to get rid of the .2 this makes the answer 181/500

Answer:

181/500

Step-by-step explanation:

Firstly do

362/1000 so their is no decimals

then

181/500 which is your answer

Answer:

12

Step-by-step explanation:

7 times 12 is 84. 4 times 21 is 84. The digits have a sum of 3.

Answer:

288

Step-by-step explanation:

1/2*B*H

1/2*(6*12)*8

1/2*72*8

1/2*576

288

Answer:

[tex]V=288\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V = \frac{b*h}{2}[/tex]

[tex]V = \frac{(6\ cm * 12\ cm) * (8\ cm)}{2}[/tex]

[tex]V = \frac{72\ cm*8\ cm}{2}[/tex]

[tex]V=\frac{576\ cm^2}{2}[/tex]

[tex]V=288\ cm^2[/tex]

Answer:  [tex]V=288\ cm^2[/tex]

Answer:

y - 5 = 3(x + 7)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 3 and (a, b ) = (- 7, 5 ) , then

y - 5 = 3(x - (- 7) ) , that is

y - 5 = 3(x + 7)

Answer:

answer is 9/16 (9 over 16) Decimal form 0.5625

Step-by-step explanation: