H/108=7/18
Please answer proportion

Answer:

3x(2)

Step-by-step explanation:

Answer:

its 1/2

Step-by-step explanation:

because 3and3 because only 3 and 3 and 12 become 6and3 so 3/6 is 1/2

Answer:

E

Step-by-step explanation:

2^2 = 4

√(4^2 + √5 ^2) = √21

Answer: 36

Step-by-step explanation: 36x12=432

432+36=468

Answer:

it is 16_3/6

Step-by-step explanation:

basic addition.

Answer:

Please specify what the three expressions are.

Step-by-step explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

[tex]2(x-3)=2x-6[/tex]

Then, by evaluating it, you would get:

[tex]2x-6=2x-6[/tex] by distribution over subtraction.

[tex]2x-6+6=2x-6+6[/tex] by the additive property of equality

[tex]2x=2x[/tex] Simplify.

[tex]x=x[/tex] by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as there are no options to select from.

However, a general explanation is as follows.

Given

[tex]2\ cups = 1\ pint[/tex]

Required

Is [tex]c = 2p[/tex] a correct expression?

Let

[tex]c = cups[/tex]

[tex]p = pint[/tex]

So:

[tex]2\ cups = 1\ pint[/tex]

becomes

[tex]2 * c = 1 * p[/tex]

[tex]2c = p[/tex]

Divide both sides by 2

[tex]c =\frac{1}{2}p[/tex]

Hence:

[tex]c = 2p[/tex] is incorrect

Answer:

29.4

Step-by-step explanation:

mC = 180 - 46 - 105 = 29

By Law of Sines: c/sin C = a/sin A

19.8/sin 29° = a / sin 46°

19.8/0.484 = a/0.72

a = 29.45 ≈ 29.4

Answer:

1) 122 2)58

Step-by-step explanation:

Answer:

m1 = 122°

m2 = 58°

Step-by-step explanation:

angle 1 = 122° rule of vertical angles

180° -122° = 58°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The amount the business initially invested in 1991 is approximately;

A. $3,450

Step-by-step explanation:

The question relates to investment and finance

The parameters given are;

The annual interest rate on the business savings account = 3%

The amount the business had in the account at the end of 1996 = $4,000

The given formula used to determine the final amount in the savings account, [tex]F = p \cdot \left(1 + \dfrac{r}{100} \right )^t[/tex]

Where;

F = The final amount

p = The initial (principal) investment

r = The annual interest rate

t = The time in years

Therefore, we have;

The required information = The initial amount, 'p', the business invested in 1991

The time in years, 't', from 1991 to 1996 = 1996 - 1991 = 5

∴ The time in years from 1991 to 1996, t = 5 years

The final amount in 1996, F = $4,000

r = 3%

Plugging in the values in the given equation gives;

[tex]4000 = p\cdot \left(1 + \dfrac{3}{100} \right )^5[/tex]

Therefore;

[tex]p = \dfrac{4000}{\left(1 + \dfrac{3}{100} \right )^5} = 3,450.43513754[/tex]

To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.

Answer:

x² - 3x + 0.25 = 0

Step-by-step explanation:

Given a root x = a then the corresponding factor is (x - a)

Given roots x = 1.5 + [tex]\sqrt{2}[/tex] and x = 1.5 - [tex]\sqrt{2}[/tex] then the factors are

(x - (1.5 + [tex]\sqrt{2}[/tex] ) ) and (x - (1.5 - [tex]\sqrt{2}[/tex] ) ) , that is

(x - 1.5 - [tex]\sqrt{2}[/tex] ) and (x - 1.5 + [tex]\sqrt{2}[/tex] )

The equation is then the product of the factors

(x - 1.5 - [tex]\sqrt{2}[/tex] )(x - 1.5 + [tex]\sqrt{2}[/tex] ) = 0 ← expand factors using FOIL

(x - 1.5)² - ([tex]\sqrt{2}[/tex] )² = 0

x² - 3x + 2.25 - 2 = 0

x² - 3x + 0.25 = 0

Answer:

[tex]$2\frac{1}{4} \ inch$[/tex]

Step-by-step explanation:

We have the four thickest books from the line plot given by

Two books of [tex]$\frac{1}{2}$[/tex] inch thick and the two books of [tex]$\frac{5}{8}$[/tex] inch thickness.

So when the two [tex]$\frac{1}{2}$[/tex] inch thick book is being piled on the top of a [tex]$\frac{5}{8}$[/tex] inch thick books.

Therefore, the total thickness of the pile of books is given by :

[tex]$=2 \times \frac{1}{2}+2 \times \frac{5}{8}$[/tex]

[tex]$=\frac{9}{4}$[/tex]

[tex]$=2\frac{1}{4} \ inch$[/tex]

Therefore, the thickness of the pile is [tex]$2\frac{1}{4} \ inch$[/tex] .

The addition is one of the four fundamental mathematical operations. The thickness of the pile is 4.75 inches.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

As per the given graph, the top four thickest books are:

Therefore, the thickness of the pile is the sum of the thickness of the four books.

[tex]\text{The thickness of pile} = 1\frac18 +1\frac18 + 1\frac14 + 1\frac14\\[/tex]

                                 [tex]= \dfrac98 +\dfrac98 + \dfrac54 + \dfrac54\\\\= 4.75[/tex]

Hence, the thickness of the pile is 4.75 inches.

Learn more about Addition:

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Answer:

a. 13 , b. = 4 , c. 2.2

Step-by-step explanation:

Given : a xx b = ab + b - a

So, no.1 xx no.2 = Product no.1 x no.2 + no.1 - no.2

As evident 3 xx 7 = (3 x 7) + 3 - 7 → 3 xx 7 = 21 + 3 - 7 = 17

Hence, 5 xx 2 = (5 x 2) + 5 - 2 → 5 xx 2 = 10 + 5 - 2 = 13

3 xx 1/2 = 3 (1/2) + 3 - 1/2 = 1.5 + 3 - 0.5 = 4

x xx 5 = 8

x xx 5 = 5x + x - 5

6x - 5 = 8

6x = 13

x = 2.16 ≈ 2.2

Answer: -17x-1

Step-by-step explanation: Hope this help :D

Answer:

-17x-1

Step-by-step explanation:

The answer in the mixed fraction form is  6¹¹/₁₂

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here, 4¹/₆+ 2³/₄ = 25/6 + 11/4

                                    = 50+33 / 12

                                    = 83/12

                                    = 6¹¹/₁₂

Hence the answer in mixed fraction is  6¹¹/₁₂

Learn more about mixed fraction here:

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Answer:

160

Step-by-step explanation:

Answer:

-20u + 12y + 4

Step-by-step explanation:

We have the equation -4(5u - 3y - 1) and are asked to use the distributive property to remove the parenthesis.

When using the distributive property, you have to multiply the number outside the parenthesis to all numbers inside the parenthesis, do as followed :

-4(5u - 3y - 1)

(5u(-4) -3y(-4) -1(-4))

-20u + 12y + 4

Answer:

Step-by-step explanation:

a. The vertex is (1, -9).  False.  The vertex is (-1, -9).

b. The graph opens upward.  True.  That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.  False.  It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2.  True.  The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form.  Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9.  YES, TRUE

Answer:

0.001

Step-by-step explanation:

Ericsson is claimed to increase the likelihood of a baby girl ;

Given the alternative hypothesis to buttress this claim :

HA : p>0.5

In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.

To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.

Recall ;

Pvalue < α ; We reject the Null

Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.

Answer:

600

Step-by-step explanation:

Well, first you need to make a proportion which will be [tex]\frac{x}{6,000} = \frac{10}{100}[/tex]

x is what we need to find

6,000 is the total people who voted

10% is the percent of 18 to 29 years old

and 100% represents the circle graph because all circle graphs equal 100%

First, we use the cross multiply method, for instance, 6,000×10=60,000

Next, divide 60,000÷100 which is 600.

Therefore there are 600, 18 to 29 year olds who voted in the election.

Answer:

50 units

Step-by-step explanation:

First find the length and width by using distance formula.

QR = Square root of 25 =5

RS = Square root of 100 =10

Area = 10×5 = 50

Answer:

The angles that are considered vertical, would be those that are directly across from each other. In this case, it would be 1 and 3; and 2 and 4.

I hope this helped!!

Answer:

Teresa will have $28,200 if she takes her money out after 8 years.

Step-by-step explanation:

To be able to find the answer, you have to use the formula to calculate the future value:

FV=PV(1+i/n)^(n*t)

FV=future value

PV=present value= $20,000

i=interest rate= 0.043

n=number of compounding periods per time unit= 12

t=time in years= 8

Now, you can replace the values on the formula:

FV=20,000*(1+(0.043/12)^(12*8)

FV=20,000*1.41

FV=28,200

According to this, the answer is that Teresa will have $28,200 if she takes her money out after 8 years.

Answer:

B)

Step-by-step explanation:

let 's' = # shirts they can buy

8s + 45 ≤ 325

8s ≤ 280

s ≤ 35

they cannot purchase more than 35 shirts

first set up the equation:

let t = number of t-shirts

8t + 45 [tex]\leq[/tex] 325

solve for t:

subtract 45 from both sides

8t [tex]\leq[/tex] 280

divide both sides by 8

t  [tex]\leq[/tex] 35

looking at the number line:

when placing this onto the numberline, there should be a close circle at 35 and the arrow should be going towards 0 to show that it is less than or equal to 35

answer: B

Answer:c

Step-by-step explanation:

Answer:

For angle B which is 50 degrees,

hypotenuse = AB =?

Adjacent = BC = 2 units......(given)

cos 50 = adjacent / hypotenuse

0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)

AB * 0.643 = 2

AB = 2 / 0.643

AB = 3.11 units(approx)

Answer:

0.55

Step-by-step explanation:

5 divided by 9 = 0.55

Answer:

0.6

Step-by-step explanation:

5/9=0.55555555555...

since the hundredth digit is a 5 you round up to 0.6