Using a deck of 52 playing cards what are the odds against drawing a 6, 7, 8, or 9 

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

Answer:

Its C. When you are getting ratios, we need to convert the units too...

The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

We have to given that;

The ratio is,

⇒ 5cm:5m:0.02km

Now, We can simplify the ratio as;

⇒ 5 cm : 5 m : 0.02 km

⇒ 5 cm : 5 x 100 cm : 0.02 x 100000

⇒ 5 cm : 500 cm : 2000 cm

⇒ 1 : 100 : 400

Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

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Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

Answer:

It is TRUE

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles

PLS MARK BRAINLIEST

Let the numbers be n, n+2, n+4

Sum equals too= 13+2(n+4), which is 2n+21

a) Equation--> n+n+2+n+4= 2n+21

b) Solution--> 3n+6= 2n+21

                      => n= 15

c) Second number--> 17 (15+2)

   Third number--> 19 (15+4)

d) 15+15+2+15+4=30+21

   => 51= 51

So, the equation is true.

And pls mark me brainliesttt :)))

Answer:

105

Step-by-step explanation:

$40 - $19.95 = $20.05

$20.05 divided by 0.19 (19¢) = 105.526316

Answer:

105 miles

Step-by-step explanation:

40-19.95= 20.05

20.05/.19= 105.5263157895

round down to 105 miles

Answer:

the side length of the hot tub = 4.8ft

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Square A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

i hope this helps you

The length of the one side of the hot tub is 4.8 ft.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.

If the each side of the pool is 24 ft.

The length of one side of hot tub = 24/5 = 4.8 ft.

Thus, the length of the one side of the hot tub is 4.8 ft.

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Answer:

when n = 2; m = 2 [tex]\frac{4}{5}[/tex]

when m=5;   n = [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

2n - 5m + 10 = 0

             -10     -10

2n - 5m = -10

2(2) - 5m = -10

 4 - 5m = -10

 -4            -4

      -5m = -14

        -5       -5

           m = 2 [tex]\frac{4}{5}[/tex]

2n - 5(5) = -10

2n - 25 = -10

    +25     +25

2n = 15

2        2

   n = [tex]7\frac{1}{2}[/tex]

Answer:

x = 4

Step-by-step explanation:

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%

Answer:

the numbers that right of the origin on the x axis are positive numbers

Answer:

positive

Step-by-step explanation:

positive runs on the right of x -axis

negative runs on the left of the x-axis

prime and odd will never be running on either side of x-axis

hope it helps!!!!!!

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

Additional comment

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

Answer:

1/3 is the probability for the blue marbal

Answer:

x = 18

Step-by-step explanation:

so we know that 128* and (6x+20)* have the same value so

128* = (6x+20)*

lets subtract both sides by 20

108* = 6x*

divide both sides by 6:

108/6 = 18

6x/6 = x

18 = x

Have a nice day!

and please tell me if I am wrong. :-)

9514 1404 393

Answer:

  17

Step-by-step explanation:

If you number the rows starting with 0 for the row that is 1, then row n has sum 2^n. 131072 = 2^17, is the sum of row 17.

row 0: 1

row 1: 1 1

row 2: 1 2 1

...

row 17: 1 17 136 680 2380 6188 12376 19448 24310 24310 19448 ...

Answer:

A. 12.21

Step-by-step explanation:

Define and explain:

This a right triangle, so the Pythagorean Theorem applies. The Pythagorean Theorem states that the sum of the squared legs is equal to the squared hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side.

Formula:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-legs[/tex]

Here, I am solving for the hypotenuse.

[tex]7^2+10^2=c^2[/tex]

[tex]49+100=c^2[/tex]

[tex]149=c^2[/tex]

The last step is to find the square root of 149.

The square root of 149 is irrational, of course, so I must round the square root to the nearest hundredth.

[tex]12.2065556157[/tex] ≈ [tex]12.21.[/tex]

[tex]12.21=c[/tex]

Conclude:

I, therefore, believe the length of the hypotenuse is 12.21.

Answer:

$70

Step-by-step explanation:

What we know:

⇒ He must pay 15 dollars a day

⇒ He needs to pay an additional 5 cent for every mile he drives

⇒ He drives 50 miles for 3 days

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Since he pays $15 a day and he is driving this car for 3 days, we have to multiply 15 by 3.

15*3=45

He drove 50 miles and each mile is 5 cents so we have to multiply those as well.

50*.5=25

Now we add both the sums togather~

25+45= $70

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞The amount he has to spend for his car rental is $275.

Step-by-step explanation:

Let the number be n. Then: 2n + 9

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

2:unreal number

h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.

We are given the function h(x) below:

[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]

Substitute x = 5 in the equation.

[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]

Simplify in the simplest form.

[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]

Thus h(5) is 3.

Answer

Hope this helps! Let me know if you have any doubts.

Answer:

Chris=24

Jane=32

Shen=96

Step-by-step explanation:

Chris= x

Jane = x + 8

Shen = 4x

6x+8= 152

152-8=144

6x=144

144/6=24

x=24

Answer:

Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture

Answer:

A = 60° , B = 30°

Step-by-step explanation:

[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]

                   [tex]A = 60^\circ[/tex]

[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]

Answer:

2000 ; 6000 ; 3000

Step-by-step explanation:

Given:

Total lottery winning = £11,000

Let :

Zazoo's share = x

Yi's share = 3x

Xavier's share = 3/2x

Total share = (x + 3x + 3/2x) = 5.5x

Total winning / total share

x = £11000 / 5.5

= 2000

Zazoo's share = £2000

Yi's share (2000 * 3) = £6000

Xavier's share = 3/2 * 2000 = £3000

Answer:

A. 300π units³

Step-by-step explanation:

Formula for volume of a cone = ⅓πr²h

Where,

radius (r) = ½(10) = 5 units

height (h) = 36 units

Plug in the values and find the volume in terms of π

Volume of the cone = ⅓*π*5²*36

Volume of the cone = 300π units³

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 882/24 = 36.75 or 37 crates of milk

2. 3712 x 6 = 1902 yoghurts were sold

3. 94291 - 63512 = 30779

4. 91429 is greater by (91429-42929) = 48500.

10. 7 hours 55 mins

1 month and 3 days or 33 days.

Next bus would pass at 8:15am

Answer:

[tex]x =9[/tex] --- the critical point

Step-by-step explanation:

Given

[tex]f(x) =36x -2x^2[/tex]

Required

Determine the critical numbers

First, we differentiate f(x)

[tex]f'(x) = 36 - 4x[/tex]

Set to 0 and solve for x

[tex]36 -4x = 0[/tex]

Make 4x the subject

[tex]4x = 36[/tex]

Solve for x

[tex]x =36/4[/tex]

[tex]x =9[/tex]