Translate The verbal sentences into an algebraic inequality

(1) x is at most 50 _________

(2) the sum of 5x and 2x is at least 70 __________

(3) the maximum value of 4x-6 is 54 _________

Answer:

0.7890176%

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

The probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%

We have given that,

First, there is a 64% chance of failing a test.

We have to determine the probability

Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces.

You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

Therefore the probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%.

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Answer: C

Step-by-step explanation:

Since both equations are set equal to y, it follows that

[tex]x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0[/tex]

So, the solution is (-2, 0).

Answer:

D

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius ) , then

x² + y² = ([tex]\sqrt{249}[/tex] )² , that is

x² + y² = 249 → D

Answer:

250

Step-by-step explanation:

Every number is multiplied by 5

2 x 5 = 10

10 x 5 = 50

50 x 5 = 250

Answer:

0.435

Step-by-step explanation:

43.5*0.01=0.435

Answer:

radius = 7.5 cm

Step-by-step explanation:

Since M is the midpoint of the chord AB then OM is perpendicular to AB

Using Pythagoras' identity in right triangle OMB with hypotenuse OB, the radius of the circle, then

OB² = OM² + MB² = 4.5² + 6² = 20.25 + 36 = 56.25 ( take square root of both sides )

OB = radius = [tex]\sqrt{56.25}[/tex] = 7.5

Answer:

y=x+5

Step-by-step explanation:

So first you need to plug everything into the point-slope formula which is

y-y1=m(x-x1)

m being the slope and y1 and x1 being the point (5,10)

So once you plug it in it should look like this: y-10=1(x-5)

Now you solve it

First you need to distribute 1 in 1(x-5) which is (x-5)

Now you have y-10=x-5

Then you add 10 to both sides which is y=x+5

Your answer is y=x+5

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians

Answer:

d. 20°

Step-by-step explanation:

First, we need to solve for m<Q

m<Q+m<R+m<S=180°

where m<R=90° and m<S=70°

m<Q+90°+70°=180°

m<Q=20°

Since m<Q=m<M

Then, m<M=20°

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

Answer:

LETTER C. PO 40 ang sagot

Answer:

20

Step-by-step explanation:

Given data

Let the number of magic tricks be x

we are told that she knows 70% of card trick which is 14 card tricks

hence we have

70/100*x= 14

0.7x= 14

x= 14/0.7

x=20

Hence the number of magic tricks she knows is 20

Answer:

EII

Step-by-step explanation:

Answer:

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Step-by-step explanation:

Volume of the rectangular prism =  length *width * height

                                  = 7 1/2 * 12 * 15 1/2

                                  = 7 * 6* 15 1/2

                                  = 7*3*15

                                  = 315 cm³

Volume of the cube =  length *width * height

                                 = 1/2 *1/2 *1/2

                                   = 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

   =  Volume of the prism/ Volume of the cubes

     = 315/1/8

      = 2520

The number of cubes with edge length cm that fit in this prism= 2520

Answer:

solution is in attachment

hope it helps

Answer: ben dover

Step-by-step explanation:

touch your toes ill show you where the wild goose goes

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]

Hence, the area of the trapezoid is 84ft² and your answer is D

Answer:

Step-by-step explanation:

We must rewrite 7x^2 = 9 + x in standard form first:  7x^2 - x - 9 = 0.

The coefficients are 7, -1 and -9, and so the discriminant b^2 - 4ac is

(1)^2 - 4(7)(-9) = 253.

The roots are:

       -(-1) ± √253           1 ± √253

x = --------------------- = --------------------

              2(7)                       14

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

Answer:

im literally doing the same exact thing right now

Step-by-step explanation:

Answer:

2,320

Step-by-step explanation:

4.2% gets taken every year and there is 10 year,so 4.2% s uqual to 0.042,so just mutiply 4000 by 0.042 which  is 168,then times 168 by 10 which brings you to 1680 and 4000 subtracyed by 1680,which equals 2,320

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4  We are gonna simplify

Step 2

11 ≤ t + 4  simplify

t+4≥11

Step 3

t+4≥11  Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

Answer:

a cube has 8 sized

Step-by-step explanation:

64 ×8 equal 512.

Answer:

solution is in attachment

hope it helps

Answer:

i think h stands for height. I dont see it standing for any thing else

Step-by-step explanation:

Answer:

y=-(7)/(2)x-5

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

Answer:

y = 7/2x + 2

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

Answer: You have to provide the options in order for people to help.

Step-by-step explanation: