You pick a card at random. Without putting the first card back, you pick a second card at
random.
5 6 7 8
9
What is the probability of picking a 5 and then picking a prime number?
Simplify your answer and write it as a fraction or whole number.

Answer: x = -1, -7

Step-by-step explanation:

I used internet

Answer:

x = -1   or   x = -7

Step-by-step explanation:

x^2 + 8x + 7 = 0

x^2 + 8x + ____ = -7 + ____

To complete the square, we add the square of half of the x-term coefficient to both sides.

x-term coefficient: 8

half of it: 4

square it: 4^2 = 16

We add 16 to both sides.

x^2 + 8x + 16 = -7 + 16

(x + 4)^2 = 9

x + 4 = +/- sqrt(9)

x + 4 = 3   or   x + 4 = -3

x = -1   or   x = -7

Answer:

10x^2 - 13x - 3

Step-by-step explanation:

(5x + 1)(2x - 3) = 10x^2 - 15x + 2x - 3 = 10x^2 - 13x - 3

Given:

Sam left Malaysia at 12 pm local time.

The flight time was 12 hours.

Malaysia is 7 hours ahead of UK.

To find:

The local time in UK when he arrived.

Solution:

It is given that Sam left Malaysia at 12 pm local time and the flight time was 12 hours.

12 hours after 12 pm is 12 am. It means local time in Malaysia when he reached UK is 12 am.

Malaysia is 7 hours ahead of UK. So, we need to subtract 7 hours from 12 am to get the local time in UK when he arrived.

12 am is midnight. So, 7 hours before 12 am is 5 pm.

12 am - 7 hours = 5 pm

Therefore, the local time in UK when he arrived is 5 pm.

Answer:

going clockwise from upper left the correct graph is the 2nd one

Step-by-step explanation:

asymptote at -2

Answer:

i think it will be chose 3 times

Step-by-step explanation:

im not sure thats my pridiction

Answer:

0.4

Step-by-step explanation:

Answer: 1600g

Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg

8/5kg = 1.6kg

1.6kg * (1000g / 1kg) = 1600g

Answer:

1 3/5kg.

Step-by-step explanation:

So, to figure this out, lets go over what we know.

There is 2kg.

We need to find 4/5 of this.

A way you can think of this is 2kg*4/5. Or:

2*4/5

Remember, all whole numbers have a denominator of 1. So this is:

2/1*4/5

Or

[tex]\frac{2}{1} *\frac{4}{5}[/tex]

When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.

So in the numerator, it will be 2 times 4:

2*4=8

And in the denominator, it will be 1 times 5:

1*5=5

So the answer is:

8/5

Hope this helps!

Answer:

Yes and Yes

Step-by-step explanation:

If you fold them over on both sides then they overlap perfectly, therefore they are reflective.

Answer:

[tex]4,060[/tex]

Step-by-step explanation:

[tex]\binom{30}{3}=\boxed{4060}[/tex]

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].

Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]

Answer:

[tex](180-73)=z+114/2[/tex]

[tex]107*2=z+114[/tex]

[tex]z=214-114[/tex]

[tex]z=100[/tex]

❄ B. 100

------------------------

hope it helps...

have a great day!!

In the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.

Circle is a shape consisting fall points in a plane thata are at a given distance from a given distance from a given point which is the centre of the circle.

In the circle we can see the following:

(180-73)=(z+114)/2

107*2=z+114

214=z+114

z=214-114

=100

Hence in the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.

Learn more about angles at https://brainly.com/question/25716982

#SPJ2

Answer:

RO = 17.9

Step-by-step explanation:

If they're similar, the fraction between their sides need to be equal, so do this:

NK/NM = RO/RQ

71.6/64 = RO/16

71.6•16/64 = RO

RO = 17.9

Answer:

x=7

Step-by-step explanation:

x/3 +  x/6 = 7/2

Multiply each side by 6 to clear the fractions

6(x/3 +  x/6) = 7/2 *6

Distribute

2x +x = 21

Combine like terms

3x = 21

Divide by 3

3x/3 = 21/3

x = 7

Answer:

x = 7

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{2}[/tex] ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )

2x + x = 21

3x = 21 ( divide both sides by 3 )

x = 7

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{125}{147}[/tex]

Step-by-step explanation:

10% ÷ 24% ÷ 49%

1/10 ÷ 6/25 ÷ 49/100

5/12 ÷ 49/100

[tex]\frac{125}{147}[/tex]

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

B

Step-by-step explanation:

y = 2x - 4

y + 4 = 2x

x = y/2 + 4/2

x = y/2 + 2

—-

y = x/2 + 2

Answer:

y = x/2 + 2

This is the answer because I got it right on my test.

Answer:

6×square + 5× - 4 =o

6×square+(8-3)×-4=0

6×square+8×-3×-4=0

2×(3×+4)-1(3×+4)=0

(3×+4)(2×-1)=0

either,

3x+4=0

3×=-4

×= -4/3

or,

2x-1=0

×=1/2,,

Answer:

B., E.

Step-by-step explanation:

what was the difficulty ? this is just to understand the movement of a thrown rock.

what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.

that is what the graphic shows.

so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).

can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.

can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.

can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.

Answer:

Ummmm its just a black screen

Step-by-step explanation:

Answer:

1st one is 9

2nd one is 6

3rd one is 2

Step-by-step explanation:

1 5/6 + 1 1/3 = 3 1/6

3 1/6 * 60 = 190

Answr 2.(1.3)^x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

f(14)= f (3 + 11)

= f(3) = 12

Therefore the value of f(14) is 12.

Answer:

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Step-by-step explanation:

4x + y = 22

y = x - 3

4x + y + y = 22 + x - 3

4x + 2y = 19 + x

4x - x + 2y = 19 + x - x

3x + 2y ÷ 3 = 19 ÷ 3

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Answer:

a)Let's solve for x.

4x+y=22

Step 1: Add -y to both sides.

4x+y+−y=22+−y

4x=−y+22

Step 2: Divide both sides by 4.

4x

4

=

−y+22

4

x=

−1

4

y+

11

2

a)y=x−3

b)y=

−1

2

x+6

b)x=y-12

Answer:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] ---- perimeter

Required

Write the area as a function of width

The perimeter of a rectangle is:

[tex]P =2(l + w)[/tex]

Where

[tex]l \to length\\ w \to width[/tex]

So, we have:

[tex]80 = 2*(l+w)[/tex]

Divide by 2

[tex]40 = l + w[/tex]

Make l the subject

[tex]l =40 - w[/tex]

The area of a rectangle is:

[tex]A = l * w[/tex]

Substitute: [tex]l =40 - w[/tex]

[tex]A = (40 - w) * w[/tex]

Hence, the function is:

[tex]A(w) = (40 - w) * w[/tex]