Item 1
Joanna has of a gallon of milk left that has an expiration date in 6 days. If she splits the milk
equally among her next 6 bowls of cereal, how much milk will she use in each bowl?

[tex]\large\underline{\sf{Solution-}}[/tex]

Let us assume that:

[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]

Squaring both sides, we get:

[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]

[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]

By splitting the middle term:

[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]

[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]

[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]

Therefore:

[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]

[tex] \sf \longmapsto x = - 2,3[/tex]

But x cannot be negative.

[tex] \sf \longmapsto x = 3[/tex]

Therefore, the value of the expression is 3.

[tex]\large\underline{\sf{Verification-}}[/tex]

Given:

[tex]\sf\longmapsto x=3[/tex]

We can also write it as:

[tex]\sf\longmapsto x = \sqrt{9}[/tex]

[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]

This pattern will continue.

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]

20.8 cm

so sorry if incorrect :(

Answer: $42

Step-by-step explanation: 7 x 6 = 42

Answer:

$42

Step-by-step explanation:

7 times 6 is 42 so 6 movie tickets that cost $7 is $42 all together

Answer:

Step-by-step explanation:

the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.

50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.

Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.

this is the formula that can help with any percentage math problem:

The percentage of something ÷ 100% = the number you are looking for ÷ the total

in our case:

40÷100 = x (because it is the unknown term)÷60

from here you cross multiple getting

2400÷100x

which equals

24

now we have to add Vicky's and Iverson's voter

24 + 30= 54

60-54=6

6 students did not participate

Answer:

31/ 32

Step-by-step explanation:

Switch the fractions and multiply. This will work in place of division.

31/32 is already in the simplest form, you can't simplify it anymore.

-kiniwih426

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

Answer:

47.1

Step-by-step explanation:

c=pie d

c=3.14×15

47.1

Answer:

Step-by-step explanation:

So, as you know u got a the diameter.

-Given:

d = 15.

circle (Pi) = 3,14159265359 (But we use always 3.14)

Find: we need to find circumference.

C=Pi * d = 3,14 * 15 = 47,1m.

I hope this answers your question, sir.

[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]

Value of x (substitute 0 in the place of x).

[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]

3.2128 is a rational number because you can not make it into a fraction/ratio

Answer:

1. 6

2. 8

3. 10

4. 12

5. 14

Step-by-step explanation:

just solve

Answer:

1.8(3) (three is a repeating number)

Step-by-step explanation:

Divide the numerator from the denominator. Add the value of the integer part.

Answer:1.83

Step-by-step explanation:

so the  1 that's a whole number and 5 out of 6 should be around 82-85 but for real its 1.83 but its a repeating decimal so its like 1.83333

Answer:

2/3

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

i took the k12 test

sorry if its wrong but i think its right at least it was for me

Answer:

25. 7 months

26. Php 12500

27. a. 3x-4y=8

b. 4x+2y=0

c. _ graph yourself

d. Yes it does

28. A. Yes

B. Yes

C. No

False

Like terms have the same literal coefficients but can have different Numerical Coefficients

Hope this helped you- have a good day bro cya)

Answer:

False

Step-by-step explanation:

Like Terms:

Two or more terms that have the same literal coefficients are called Like Terms. Like terms can have different Numerical Coefficients, but not literal coefficients. ... -13p2q2 and 13 p2q2 are Like terms as only the numerical coefficients are different but the literal coefficients are same

Answer:

x=21, y= 35

Step-by-step explanation:

3x+7=5x-35

(subtract seven from -35)

3x=5x-42

(subtract 5 from 3)

-2x=-42

(-42/-2= positive number)

x=21

y+75=3y+5

(subtract 75 from 5)

y=3y-70

(subtract 3y from y)

-2y=-70

y=35

Answer:

$39.20

Step-by-step explanation:

$49 * (1-.2) = $39.20

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given expression.

[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]

We know that:

[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]

[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]

Therefore, the expression becomes:

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]

[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]

[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \rm = \sec(x) - \tan(x) [/tex]

[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]

see the attachment!!

hope it helps

#carryolearning

Step-by-step explanation:

[tex] \frac{3}{8} \times \frac{1}{2} [/tex]

3×1= 3

---

8×2=16

thus your answer is

[tex] \frac{3}{16} [/tex]

Hope this helped you- have a good day brocya)

Answer:

[tex]\frac{3}{16}[/tex]

Step-by-step explanation:

Hey there,

[tex]\frac{3}{8} *\frac{1}{2} \\[/tex]

[tex]\frac{3*1}{8*2}[/tex]

[tex]\frac{3}{16}[/tex]

Hope this helps you.

Let me know if you have any other questions:-)

Answer:

p = w - cg

Step-by-step explanation:

w = p + cg ( isolate p by subtracting cg from both sides )

w - cg = p

Answer:

g = 6

Step-by-step explanation:

Step 1: Subtract 3.3g from both sides.

Step 2: Subtract 8 from both sides.

Step 3: Divide both sides by 2.

(hope this helps) :)

Answer:

13 days

Step-by-step explanation:

Amount of book left = 100% - 35% = 65%

If 35% requires 7 days,

65% requires x days.

Using the 'cross the heart' or 'cross multiplication' method:

35x = 7 * 65

x = (7 * 65)/35

= 455/35

= 13

Hence, it would take 13 more days to complete the book.

Hope this helps and be sure to have a great time ahead at Brainly! :D

Answer: In ^3

Step-by-step explanation: V = (1/2) (4/3) π(d/2^3

Plug in  

d = 56.7 in

and get V in units of in^3.

Answer:

y = 0

Step-by-step explanation:

READ THE GRAPH. If X = 1, then Y = 0. have a nice day

Answer:

f(- 1) = 3

Step-by-step explanation:

locate x = - 1 on the x- axis, go vertically up to meet the graph at (- 1, 3 ) , so

when x = - 1, then y = 3 , that is

f(- 1) = 3

Step-by-step explanation:

Area=(a+b)/2 x h

a=6x+3

b=4x-5

h=-5x+10

Area= -25x^2+55x-10

Answer:

2.5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

-2x + 7=5

or, 7-5=2x

or, 2=2x

or, 2/2=x

or, 1=x

Then,

7x+5

=7×1+5

=7+5

=12

Answer:

x=1

Step-by-step explanation:

-7 both sides that will give you -2

-2x=-1 divide by -2 and u will get on i think that what you were asking

Answer:

A US dollar is worth almost 114.34 Yen in Japan.

Step-by-step explanation:

( Yen is the currency they use in Japan )

Answer:

1 us dollar = 114.30 Japanese Yen

100 us dollars = 11430.65 Japanese Yen

Step-by-step explanation:

hope this helps

Answer:

24cm (piste 20characteristic pa bago masabi sagot)