Write the algebraic expression that represents the phrase “the quotient of a number and 4?”

Answer:

1432.25

Step-by-step explanation:

8.50 x 40 = 340

340 x  4 = 1360

half of 8.50 is 4.25

4.25 x 10 = 42.5

4.25 x 5 = 21.25

4.25 x 2 = 8.5

add

1360 + 42.5 + 21.25 + 8.5  = 1432.25

i hope i did my math right, good luck mate

The points A, B, C and D are collinear points

The length of the segment AD is 7 units

The given parameters are:

AB = 1

BC = 2

CD = 4

Because the points are on the same line, then the following is the possible equation

AD = AB + BC + CD

Substitute known values

AD = 1 + 2 + 4

Evaluate the sum

AD = 7

Hence, the length of the segment AD is 7 units

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Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

y + 3y + 6 = 26

4y + 6 = 26

4y = 26 - 6

4y = 20

y = 5

I hope this helps!

Answer:

$38.1 billion

Step-by-step explanation:

S - 1.5x = 5.1

x = 2020 - 1998

x = 22 years

S - 1.5(22) = 5.1

S = 5.1 + 33

S = 38.1

I hope this helps!

Answer:

38.1 billion dollars.

Step-by-step explanation:

2020 - 1998 = 22 years, so

S  - 1.5(22) = 5.1

S = 5.1 + 1.5(22)

S = 5.1 + 33

= 38.1.

Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.

The vertex form of quadratic equation is f(x) = -5(x-1)^2 + 6

A quadratic equation is written in its vertex form in order to easily determine the maximum or minimum point on the curve.

The standard vertex form of an equation is given as:
a(x-b)^2 + k

From the given option, we can see that the only eqeuation writen in this form is f(x) = -5(x-1)^2 + 6

Hence the vertex form of quadratic equation is f(x) = -5(x-1)^2 + 6

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Answer:

choice for your help today 12 m is not answering me, sorry I think 25m

Answer:

1/6

Step-by-step explanation:

it is like a cube just with slightly different numbers on each side. but the probabilty structure is still the same.

we have 6 different possible outcomes, all with the same basic probabilty (as every field on the spinner is seemingly of the same size as the others).

and we desire one of these possible outcomes (6).

so the probabilty to get 6 is still 1/6 (1 desired over 6 possible outcomes).

Answer:

The axis of symmetry is x=2

Step-by-step explanation:

Answer:

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Step-by-step explanation:

→ Find how many numbers there are

2 14's, 3 15's, 2 10's, 1 12, 1 20 and 1 25 ⇒ The x value row will be 14, 15 ,10 ,12, 20 and 25

→ Now divide each front number by the total

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Answer:

Camille can make 6 cards and will have 2 ribbons left

Step-by-step explanation:

Answer:

Answer is {C}

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

This is just algebra involved with geometry!

Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

2x-5=x+20 should be the equation!

Subtract x from both sides

x-5=20

Now add 5 to both sides

x=20+5

x=25

Now you need to plug the answers in!

50-5 for 2x-5

25+20 for x+20

45+45 = 90      

I don't really know about the 125 but if that was excluded then this is it ^^^

The value of x is,

⇒ x = 33.3°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The value of total angle is, 125°

Hence, By definition of angles we get;

⇒ (2x - 5) + (x + 20) = 125°

⇒ 3x + 15 = 125°

⇒ 3x = 125 - 15

⇒ 3x = 110

⇒ x = 33.3°

Thus, The value of x is,

⇒ x = 33.3°

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Answer:

30.125

the answer is 30.125 so that is the answer of this question

Answer:

25%

Step-by-step explanation:

Simple interest= PRT/100

392,000=112,000*R*14/100

392,000=1120*14*R

392,000=15,680R

R= 392,000/15,680

R= 25%

Answer:

3.6% or B quack quack quack quack

The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, the labor force is 740 workers, but 27 are unemployed.

Here, percentage = 27/740 ×100

= 2700/740

= 3.6%

Therefore, option B is the correct answer.

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hmm a tough one ima go with 24

Answer:

If you're looking for the equation, it's:

[tex](2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=[/tex] an odd

I know because I got it right on acellus.

Answer:

24x-7

Step-by-step explanation:

First, we distribute the 2x.

2x * 8 = 16x

2x * 4 = 8x

16x+8x-7

24x-7

This is the final result / your answer :

24x-7

Answer:

24x-7

Step-by-step explanation:

1. Add 8 and 4, this leaves us with 2x(12)-7

2. Multiply 12 and 2. This leaves us with 24x-7

The sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE= Z{score}\times \frac{s}{\sqrt{n} }[/tex]

Where  Z_{score} is the z score at the confidence interval

             s is the standard deviation

             n is the number of samples.

We have:

MOE = 2% = 0.02 and

α = 1-0.95 = 0.05

Let's assume the value of p = 0.5, and q = 0.5

From the table:

Z_(0.05/2) = Z_(0.025) = 1.96

[tex]\rm n = 0.5\times0.5\frac{1.96^2}{0.02^2}[/tex]

n = 2401

For part (b):

p = 18% = 0.18, and q = 0.82

[tex]\rm n = 0.18\times0.82\frac{1.96^2}{0.02^2}[/tex]

n = 1417.5 = 1417

Thus, the sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%

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Answer:

12

Step-by-step explanation:

Answer:

24 cubic units

Step-by-step explanation:

Count the front layer by fours because there are 3 rows of 4 and 3 rows of 4 on the other side.So count by 4's on the front layer then the back layer.

Answer:

See answer and step-by-step attachment.

Step-by-step explanation:

See attachment.

Answer:

C. -3/7

Step-by-step explanation:

Irrational numbers: cannot be written as a fraction

Rational numbers: can be written as a fraction

The only option that contains a fraction, is C

Hope this helps!

Option C

Hope it helps.

Do comment if you have any query.

Answer:

x = 4, 1/4

solving steps

[tex]\sf \rightarrow x + \dfrac{1}{x}=4\dfrac{1}{4}[/tex]

make the denominators same

[tex]\sf \rightarrow \dfrac{x(x)}{x} + \dfrac{1}{x}=4\dfrac{1}{4}[/tex]

simplify the following

[tex]\sf \rightarrow \dfrac{x^2}{x} + \dfrac{1}{x}=\dfrac{17}{4}[/tex]

join both fractions together

[tex]\sf \rightarrow \dfrac{x^2+1}{x}=\dfrac{17}{4}[/tex]

cross multiply

[tex]\sf \rightarrow 4(x^2+1)=17(x)[/tex]

simplify

[tex]\sf \rightarrow 4x^2-17(x)+4=0[/tex]

completing square

[tex]\sf \rightarrow 4x^2-16(x)-x+4=0[/tex]

factor

[tex]\sf \rightarrow 4x(x-4)-1(x-4)=0[/tex]

group the variables

[tex]\sf \rightarrow (4x-1)(x-4)=0[/tex]

simplify

[tex]\sf \rightarrow (x-4)=0, \ (4x-1) =0[/tex]

final answer

[tex]\sf \rightarrow x=4, \ x =\dfrac{1}{4}[/tex]

Answer:

[tex]\boxed{x = \dfrac{1}{4}}[/tex] and [tex]\boxed{x = 4}[/tex]

Step-by-step explanation:

Given equation:

[tex]x + \dfrac{1}{x} = 4\dfrac{1}{4}[/tex]

Step-1: Convert the mixed fraction on the R.H.S into improper fraction

[tex]x + \dfrac{1}{x} = 4\dfrac{1}{4}[/tex]

[tex]x + \dfrac{1}{x} = \dfrac{4 \times4 + 1}{4}[/tex]

[tex]x + \dfrac{1}{x} = \dfrac{16 + 1}{4}[/tex]

[tex]x + \dfrac{1}{x} = \dfrac{17}{4}[/tex]

Step-2: Make common denominators on the L.H.S:

[tex]x + \dfrac{1}{x} = \dfrac{17}{4}[/tex]

[tex]\dfrac{x^{2} }{x} + \dfrac{1}{x} = \dfrac{17}{4}[/tex]

Step-3: Combine the denominators on the L.H.S

[tex]\dfrac{x^{2} }{x} + \dfrac{1}{x} = \dfrac{17}{4}[/tex]

[tex]\dfrac{x^{2} +1}{x} = \dfrac{17}{4}[/tex]

Step-4: Use cross multiplication

[tex]\dfrac{x^{2} +1}{x} = \dfrac{17}{4}[/tex]

[tex]x^{2} +1} = \dfrac{17x}{4}[/tex]

[tex]4(x^{2} +1}) = {17x}[/tex]

Step-5: Simplify the distributive property

[tex]4(x^{2} +1}) = {17x}[/tex]

[tex]4x^{2} +4} = {17x}[/tex]

[tex]-17x + 4x^{2} +4} = 0[/tex]

Step-6: Change "-17x" to "-16x - x" as it is equivalent

[tex]-17x + 4x^{2} +4} = 0[/tex]

[tex](-16x - x) + 4x^{2} +4} = 0[/tex]

Step-7: Factor the common terms

[tex](-16x - x) + 4x^{2} +4} = 0[/tex]

[tex]-16x - x + 4x^{2} +4} = 0[/tex]

[tex]4x(-4 + x) - 1(x - 4) = 0[/tex]

Step-8: Group the terms

[tex]4x(-4 + x) - 1(x - 4) = 0[/tex]

[tex](x - 4)(4x - 1) = 0[/tex]

Step-9i: Use cross multiplication for (x - 4)

[tex](x - 4)(4x - 1) = 0[/tex]

[tex]x - 4 = \dfrac{0}{4x - 1 } = 0[/tex]

Step-9ii: Use cross multiplication for (4x - 1)

[tex](x - 4)(4x - 1) = 0[/tex]

[tex]4x - 1 = \dfrac{0}{x - 4} = 0[/tex]

Thus [tex]x - 4 = 0[/tex] and [tex]4x - 1 = 0[/tex].

Step-10: Simplify both equations

[tex]4x - 1 = 0[/tex]                  [tex]x - 4 = 0[/tex]

[tex]4x = 0 + 1[/tex]                  [tex]x = 0 + 4[/tex]

[tex]4x = 1[/tex]                          [tex]\boxed{x = 4}[/tex]

[tex]\boxed{x = \dfrac{1}{4}}[/tex]

Answer:

Here :D

Step-by-step explanation:

The option that is an example of symbolism in a political communication is; A radio program where local politicians are interviewed about important local issues.

In symbolism in communication, we are trying to use a means or medium to pass across a message to an audience consciously or unconsciously.

Now, for political communication, the politicians are trying to talk about important issues with respect to the elections. Thus, from the given options, the only one that is an example of symbolism in a political communication is A radio program where local politicians are interviewed about important local issues.

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Answer:

c-21cm

Step-by-step explanation:

21 is the biggest one(unless the options are the diameters..it wouldstill be option c though)

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

A = 960 cm²

The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

Given the following trigonometry function as shown below:

csc(a) = -5√6/12

Since csc(a) = 1/sin(a)

sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp

Determine the measure of cos(a)

adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369

cot(a) = cos(a)/sin(a)

cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5

Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

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Check the picture below.