There are 25 students' names in a hat. You choose 5 names. Three are
boys' names and two are girls' names. How many of the 25 names would
you expect to be boys' names?
Show all of your work do in 10 minutes

Answer:

8

Step-by-step explanation:

4/3 cup for 3 dozen.

how many cups for 18 dozen ?

what factor do I need to use to turn 3 into 18 ?

3×x = 18

x = 18/3 = 6

so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).

therefore, we need

4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

Step-by-step explanation:

[tex] {x}^{2} - x - 30 = 0[/tex]

➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]

➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]

➡️ [tex](x + 5) \times (x - 6) = 0[/tex]

➡️ [tex]x + 5 = 0[/tex]

➡️ [tex]x - 6 = 0[/tex]

➡️ [tex]x = - 5[/tex]

➡️ [tex]x = 6[/tex]

➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]

Answer:

The inverse of the function is

[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]

Step-by-step explanation:

let the inverse of f(x) be m:

[tex]m = {2x}^{2} - 4 [/tex]

take 4 to the left hand side ( changes sign to positive ):

[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]

take a square root on all sides:

[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]

substitute x in place of m:

[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]

Step-by-step explanation:

initial velocity= 27

final velocity= 0

time = 3 sec

now

a= 0-27/3

a=-9 m/s^2

Answer: C. 1.44

Step-by-step explanation:

Each number gets multiplied by 2, so it's an exponential series in a way.

You must multiply .72 by 2 to get 1.44.

Answer:

1) = -10

3) = 4

Step-by-step explanation:

Chow,...!

Answer: 7

Step-by-step explanation:

1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6:  1= a-13/-6 ==> -6=a-13

2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13

3. you know -6+13 equals 7 right? so the answer is a=7

Hey there! I'm happy to help!

We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.

[tex]\frac{a-13}{-6} =1[/tex]

What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.

We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.

[tex]\frac{a-13}{-6} *-6=1*-6\\\frac{a-13}{1}=-6\\a-13=-6[/tex]

Now we add 13 to both sides to undo the -13 on the left side.

[tex]a-13+13=-6+13[/tex]

[tex]a+0=7\\a=7[/tex]

Have a wonderful day and keep on learning! :D

Answer:

20.

Step-by-step explanation:

when you add how far Kyle's already traveled you get sixty, the rest of the lecture explains the rest, leaving you with 20 seconds. Lol.

Answer:

Step-by-step explanation:

Bonjour,

2^4 * 7^3 => 16* 343 = 5488

21 952 / 5 488 =4

115 248/5 488 =  21

9514 1404 393

Answer:

  2⁴·7³

Step-by-step explanation:

The set of primes that are factors of 21952 is {2, 7}.

The set of primes that are factors of 115248 is {2, 3, 7}.

Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.

The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.

The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.

So, the Highest Common Factor of the two numbers is 2⁴·7³.

Answer:

1, 5

Step-by-step explanation:

a numerical or constant quantity placed before and the variable in an algebraic expression (e.g. 4 in 4x y).

Answer: 1 and 5

Step-by-step explanation:

Answer:

can u please cut all zeroes and if it is divisible by both a and b then divide it.Like in a u cut zeroes and answer will come. cut all zeroes only.

Hi, if the question is reduce to lowest terms, then this is the answer.

a) 1/2

b) 1/4

c) 2/3

d) 2/5

g) 4/5

h) 4/7

i) 5/6

j) 6/7

How did this come?

In these questions, all are ending with 0. So, if you cut those zeroes, you will get a fraction, then check if can divide the fraction directly, else, write the fraction which you got directly after cancelling zero.

Hope it helps you...

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]6525\text{cm.}^3[/tex]

Keep in mind that this is APPROXIMATE.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

tea

Step-by-step explanation:

just cuz lol

Answer:

Gin

Step-by-step explanation:

Answer:

first question: reflection on the y axis

second question: reflection on the x axis

Step-by-step explanation:

Answer:

400÷10=0.4

stay safe and healthy

Answer:

Your answer is option a.

Answer:

a. 9(8+7)

Step-by-step explanation:

If you distribute the 9 into the equation, You're basically multiplying the 9 by each term so it really becomes:

(9*8) + (9*7)

Which leaves you with:

72 + 63

Answer:

Ramesh asked me,"where do you live?"

Ramesh said to me," where do you live".

Answer:

(a)

sin²A×cos²A+sin⁴A

we will take sin²A as an common factor

so it become

sin²A×(cos²A+sin²A)

sin²A+cos²A=1

sin²A×1=sin²A

(c)

sinA×cotA

cotA= cosA/sinA

sinA×cosA/sinA=cosA

(e)

(1+sinA)²-(1-sinA)²

(a+b)²=a²+b²+2×a×b

(a-b)²=a²+b²-2×a×b

1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)

1+sin²A+2sinA-1-sin²A+2sinA=4sinA

(g)

(cosec²A-1)/cosec²A

cosecA=1/sinA

1/sin²A-1/1/sin²A

(1/sin²A-1)×sin²A

1-sin²A

1=sin²A+cos²A

sin²A+cos²A-sin²A=cos²A

(i)

sqrt(1+tan²A)×sqrt(1-cos²A)

1+tan²A=

1+sin²A/cos²A=

sin²A+cos²A/cos²A

sin²A+cos²A=1

=1/cos²A

1-cos²A

1=sin²A+cos²A

sin²A+cos²A-cos²=sin²A

sqrt(1/cos²A)×sqrt(sin²A)

1/cosA×sinA=sinA/cosA=tanA

have a great day

Answer:

172

Explanation:

The absolute value of a number returns the positive value of the given number. Ruben will be at exactly 90 miles in 2 hours or 5 hours

Given that:

[tex]d = |210 - 60t|[/tex]

To calculate t when [tex]d = 90[/tex], we have:

[tex]90 = |210 - 60t|[/tex]

Rewrite as:

[tex]|210 - 60t| = 90[/tex]

Remove absolute bracket

[tex]210 - 60t = 90 \ or\ 210 - 60t = -90[/tex]

Collect like terms

[tex]- 60t = -210 + 90 \ or\ - 60t = -210 -90[/tex]

[tex]- 60t = -120 \ or\ - 60t = -300[/tex]

Divide through by -60

[tex]t = 2 \ or\ t = 5[/tex]

Hence, Ruben will be at exactly 90 miles in 2 hours or 5 hours

Read more about absolute values at:

https://brainly.com/question/1301718

Answer:

c is the answer

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

1

​

) and (x  

2

​

,y  

2

​

) in the ratio m:n, then  

(x,y)=(  

m+n

mx  

2

​

+nx  

1

​

​

,  

m+n

my  

2

​

+ny  

1

​

​

)

The vertices of the triangle are given to be (x  

1

​

,y  

1

​

),(x  

2

​

,y  

2

​

) and (x  

3

​

,y  

3

​

). Let these vertices be A,B and C respectively.  

Then the coordinates of the point P that divides AB in l:k will be

(  

l+k

lx  

2

​

+kx  

1

​

​

,  

l+k

ly  

2

​

+ky  

1

​

​

)

The coordinates of point which divides PC in m:k+l will be  

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

​

m+k+l

mx  

3

​

+(k+l)  

(l+k)

lx  

2

​

+kx  

1

​

​

​

,  

m+k+l

my  

3

​

+(k+l)  

(l+k)

ly  

2

​

+ky  

1

​

​

​

⎭

⎪

⎪

⎪

⎬

⎪

⎪

⎪

⎫

​

⇒(  

m+k+l

kx  

1

​

+lx  

2

​

+mx  

3

​

​

,  

m+k+l

ky  

1

​

+ly  

2

​

+my  

3

​

​

)

Answer:

1 1/4

Step-by-step explanation:

25/20=5/4=1 1/4

Hope this helps, thanks!

Answer:

these statements are not logically equivalent.

Step-by-step explanation:

steps are in picture.

If you have any question about it you can ask freely.

Answer:

44 cm

Step-by-step explanation:

So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.

Hope this helps! :D

1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.

Answer:

f(1) = 0

f(2) = 4

f(3) = 8

Step-by-step explanation:

Substitute the values for the variable x.

[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]

When x= 1

y = 4(1) - 4

y = 0

when x = 2

y = 4(2) - 4

y = 4

when x = 3

y = 4(3) - 4

y = 8