One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of the two would be -41. What are the two numbers

Answer:

$1.46

Step-by-step explanation:

Required cards for winning :

1's, 2's and 3's

There are 4 cards of each in a total of 52 cards ;

Therefore, number of winning cards ;

(4 * 3) = 12 cards

Hence,

P(winning) = 12 / 52 = 3 / 13

P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13

Earning (X)

Amount earned for winning = $43

Amount lost for not winning = $11

X ___ $43 ______ - $11

P(X) _ 3/13 _______ 10/13

Expected value, E(X) = ΣX*P(X)

Σ(X) = (43 * 3/13) + (-11 * 10/13)

E(X) = 9.9230769 - 8.4615384

E(X) = 1.4615385

E(X) = $1.46

Answer:

Step-by-step explanation:

Use this formula:

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:

[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:

[tex]520=P(1+.0025)^{36[/tex] and a bit more:

[tex]520=P(1.0025)^{36[/tex] and even  bit more:

520 = P(1.094551401) and divide to get

P = $475.30

Answer:

Assuming a triangle, 5. 3, 4, 5 triangles are classic right triangles.

Answer:

A. Orthocenter

Step-by-step explanation:

In the given triangle, ΔWKS, the drawing shown the construction of a perpendicular line to the side KS that pass through the vertex W of ΔWKS. Therefore, the completed construction gives an altitude of the triangle ΔWKS

Repeating the same procedure from the vertex S to construct the perpendicular line (altitude) to the side WK, and from the vertex K the perpendicular line (altitude) to the side WS gives the three altitudes of the triangle

The point of intersection (the point of concurrency) of the three altitudes is the orthocenter of the triangle and the drawing would therefore be a step in finding the orthocenter of a triangle.

Answer:

orthocenter

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

the sin of 28 degree is 28

Step-by-step explanation:

it's the same degree in radians I hope this help

Answer:

The perimeter 9+9+15+4+3+4pi=52.56 units.

The area is 25.12+135 which is 160.12 unit squared.

Step-by-step explanation:

Perimeter of this shape = perimeter of half circle + perimeter of the rectangle

Diameter of circle = 15-4-3 = 8

Radius of circle = 8/2 = 4

Perimeter of the shape = (2 x pi x 4)/2 + 15 + 9 + 9 + 4 + 3

   = 4pi + 40 = 52.56 units     (substitute pi = 3.14)

Area of shape = area of half circle + area of rectangle

= (pi x 4 x 4)/2  + (9 x 15)

= 25.12 + 135 = 160.12 unit squared

Step-by-step explanation:

the answer is sqrt(7)

using pythagoras theorem

Answer:

x = 4

Step-by-step explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

17

Step-by-step explanation:

The diagonal forms a triangle.

Use the Pythagorean theorem

Diagonal = sqrt(8^2 + 15^2)

Diagonal = sqrt(64 + 225)

Diagonal = sqrt( 289)

Diagonal = 17

Answer: 17 inches

ooof 2 weeks ago, sorry mate, i want the points doe...

Answer:

9 (or 18)

9 (or 18)

18 (or 36)

Step-by-step explanation:

If B is midpoint if AC, then AB = BC

AB = 3x

BC = 5x - 6

So...

3x = 5x - 6

==> 2x = 6

==> x = 3

AB = BC = 3×3 = 5×3 - 6 = 9

And...

AC is AB + BC (since B is midpoint)

==> AC = 9 + 9 = 18

((Answer may be twice this. Picture is unclear if "3x" and "5x - 6" are values of AB and BC (resp.) or if they are midpoint values of AB and BC, in which case everything would just be doubled (except for x, the 2's would cancel out).))

Answer:

40 tacos

Step-by-step explanation:

Step 1:  Determine how many tacos you can buy

Cost of one taco:  $0.50

Money in wallet:  $20

So for every $1 you can buy 2 tacos.  Therefore, 20 * 2 = 40 tacos

Answer:  40 tacos

Answer:40 tacos

Step-by-step explanation: because yeah

Answer:

TV = 6

Step-by-step explanation:

The distance from the vertex to the centroid is twise the distance from the centroid to the midpoint, then

JV = [tex]\frac{1}{2}[/tex] TJ = [tex]\frac{1}{2}[/tex] × 4 = 2

Then

TV = TJ + JV = 4 + 2 = 6

Answer:

seats in each bus

Step-by-step explanation:

total no.of seats = 64

so, the no.of seats in each bus = 64/2 =32

therefore ,  b denotes the no.of seats in each bus

PLEASE MARK ME AS BRAINLIEST .

Answer:

because they are both in the circle

Step-by-step explanation:

Answer:

The correct answer is 2043 km².

Step-by-step explanation:

Given:

Starting area,

A = 2300 km²

Rate of decreasing,

r = 5.75%

Time,

t = 12 years

As we know,

⇒ [tex]y = A(1-r)^t[/tex]

By substituting the values, we get

      [tex]=2300(1-0.0575 )^{12}[/tex]

      [tex]=2300(0.9425)^{12}[/tex]

      [tex]=2300\times 0.8883[/tex]

      [tex]=2043 \ km^2[/tex]

Answer: [tex]8d-7[/tex]

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

[tex]\Rightarrow \text{Number of Nickels = }8d-7[/tex]

Step-by-step explanation:

V=1/3 × πr²h

since H=6, R=4

V= π×(4)²×(6)/3

V=96π/3

V=32π

Note: ( we are not given the pie (π) value )

Answer:

Step-by-step explanation:

r = 4

h = 6

pi = 3.14

Formula

V = 1/3 pi r^2 h

V = 1/3 3.14 * 4^2 * 6

V = 1/3 * 3.14 * 16 * 6

V = 100.48

Answer:

DE = 5

Step-by-step explanation:

The 3 sides of the triangle are congruent , then

DF = EF , that is

[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )

2a - 75 = a - 25 ( subtract a from both sides )

a - 75 = - 25 ( add 75 to both sides )

a = 50

Then

DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5

Answer:

hypotenuse ≈ 44 inches

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

let the hypotenuse be h , then

h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )

h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )

Answer:Braylon is right

Step-by-step explanation:

it is reduced to x+5/2

Answer:

Braylon is correct, after dividing the numbers given I got _::x+5/2::_

and it cant be simplified more

Consider we need to find the dimensions and volume of the box.

Given:

The shape of the lamp is a rectangular prism.

It measures 14 high, 9 wide, and 3 long.

There is 1 all around the lamp for bubble wrap

To find:

The dimensions and volume of the box.

Solution:

Length of the box is:

[tex]3+2=5[/tex]

Width of the box is:

[tex]9+2=11[/tex]

Height of the box is:

[tex]14+2=16[/tex]

Therefore, the dimensions of the box are 5 by 11 by 16 units.

The volume of the box is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=5, w=11, h=16[/tex], we get

[tex]V=5\times 11\times 16[/tex]

[tex]V=880[/tex]

Therefore, the volume of the box is 880 cubic units.

Complete question is;

A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.

Find the time at which the soccer ball hits the ground.

Answer:

s = 5 seconds.

Step-by-step explanation:

We are given the function;

h(s) = −3s² +75

Where;

h(s) is height at time s

s is the time taken

Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.

Thus;

−3s² +75 = 0

−3s² = -75

s² = 75/3

s² = 25

s = √25

s = 5 seconds.

Answer:

14

Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!