Twenty-one goats were shown in the county fair. This was seven less than four times the number of horses shown.What is an equation that could be used to solve the problem?A) 4x - 7 = 21B) 4x - 21 = 7C) 7X -4 = 21D) 4x = 21

a) A dollar is 40% of four dimes.

b) 8% of a dollar is equal to 1 nickel and 3 cents.

c) A dollar is equal to 135% of 5 quarters and 1 dime.

A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Frequently, the percent symbol (%) or the abbreviation "pct" are used to indicate the percentage. The word "percent" derives from "percent," a contraction of "per centum," which meant per hundred.

1 dime equals 10 cents, as we all know. Thus, 4 dimes equal 40 cents. 4 dimes are consequently 40% of a $1.

We are aware that a nickel costs five cents and a penny one cent. Therefore, 8% of a dollar is equal to 1 nickel and 3 cents.

We are aware that a quarter equals 25 cents and a dime equals 10 cents. 5 quarters and 1 dime are therefore 135% of a dollar.

Therefore,

A dollar is 40% of four dimes.

8% of a dollar is equal to 1 nickel and 3 cents.

A dollar is equal to 135% of 5 quarters and 1 dime.

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The complete question is:

"What percentage of a dollar is the value of each coin combination?

a. 4 dimes

b. 1 nickel and 3 pennies

c. 5 quarters and 1 dime"

Answer: What language is that? I want to help..but can you translate to english

Step-by-step explanation:

A taxpayer's taxable income is reduced by the standard deduction. It makes sure that only families who make more than a specific amount of money will have to pay income tax. When submitting their tax returns, taxpayers have the option to take the standard deduction, which lowers their taxable income and the amount of taxes they must pay.

You might have to spend more time on your tax return. If you itemize, you'll need to set aside extra time when preparing your returns to fill out the big enchilada of tax forms: the Form 1040 and Schedule A, as well as the supporting schedules that feed into those forms.

Add up your itemized deductions and compare the total to the standard deduction available for your filing status. If your itemized deductions are greater than the standard deduction, then itemizing makes sense for you. If you're below that threshold, then claiming the standard deduction makes more sense.

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Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer: \(792\ m^2\)

Step-by-step explanation:

Given

The length of the rectangular prism is \(l=12\ m\)

width of the rectangular prism is \(w=8\ m\)

height of the rectangular prism is \(h=15\ m\)

The surface area of the rectangular prism is \(2[wl+lh+hw]\)

Put the values

\(\Rightarrow 2[8\times 12+15\times 12+15\times 8]\\\Rightarrow 2[96+180+120]=2\times 396\\\Rightarrow 792\ m^2\)

The surface area of the rectangular prism is \(792\ m^2\)

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

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9514 1404 393

Answer:

  A) 80°

Step-by-step explanation:

The sum of the angle measures in this hexagon is ...

  (6 -2)×180° = 720°

Then the value of x (in degrees) can be found from ...

  x + 2x = 720 -78 -134 -136 -132 = 240

  x = 240/3 = 80

The value of x is 80 degrees.

Answer:

A. 80°

Step-by-step explanation:

As we know that the sum of measures of angles of hexagon is 720 ° .

78° + 134 ° + 136 ° + 132 ° + 2x + x = 720°

combine like terms

480° + 3 x = 720°

subtract 480° from both side

480 ° - 480° + 3 x = 720° - 480°

3 x = 240°

Divide each side by 3

3x / 3 = 240°/3

x = 80 °.

Hence, value of x = 80°

Verification :-

if x = 80°

then ,

2x = 2 × 80° = 160°

Now, Sum of all angles of hexagon is

78° + 134 ° + 136 ° + 132 ° + 160° + 80° = 720°

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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To write the given equation in logarithmic form, we can use the definition of logarithms. The equation 10^m = w can be rewritten as a logarithm with base 10: log10(w) = m

The general relationship between exponents and logarithms is as follows:

base^(exponent) = result

In logarithmic form, it's written as:

log_base(result) = exponent

For our given equation, 10^m = w, we have:

base = 10

exponent = m

result = w

Applying the general logarithmic relationship, we write:

log10(w) = m

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The quantity of red blood cell that is in the sample would be = 42 × 10⁵

Blood cells are those vascular cells that makes up the circulating blood of living organism which includes the white blood cells and the red blood cells.

The amount of white blood cells = a

The amount of red blood cells = 6 x 10² (a)

The amount of white blood cells in the sample = 7 × 10³

Therefore the amount of red blood cell in that sample =

6× 10² × 7 × 10³ = 42 × 10⁵

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Numbers can be represented using the place value system

The number 22 thousands, 22 hundreds, 222 tens represents 26420

The number is given as:

22 thousands, 22 hundreds, 222 tens

Rewrite the number as:

22 thousands + 22 hundreds + 222 tens

Express the place values as figures

22 * 1000 + 22 * 100 + 222 * 10

Evaluate the product

22000 + 2200 + 2220

Evaluate the sum

26420

Hence, 22 thousands, 22 hundreds, 222 tens represents 26420

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By another pair of sides along with pair of angles we can prove that two triangles are congruent by ASA congruence postulate.

What is ASA Congruence Postulate?

A set of triangles can be proven to be congruent using the angle-side-angle rule.

According to the ASA rule, two triangles are congruent if their two included sides and two angles are the same as those of another triangle.

Using the ASA Congruence Postulate and by considering the following image,

∠ B = ∠ Q, ∠ C = ∠ R and sides between ∠B and ∠C , ∠Q and ∠ R are equal to each other.

i.e. BC= QR.

Hence, Δ ABC ≅ Δ PQR.

Therefore, By another pair of sides along with pair of angles we can prove that two triangles are congruent by ASA congruence postulate.

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Answer:

36 questions was answered correctly

Step-by-step explanation:

80 x .45 = 36

Hope this helps

Have a great day :D

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point a:

\(fx|H(x) = 1;0< x<1\\\\fX|T(x) = 2x; 0\leq x \leq 1\\\\fx(x) = P(H \bigcap X = x) +P(T \bigcap X=x)\\\\\)

\(=P(H)fX|H(x)+P(T)fX|T(x)\\\\= p(1) + (1-p)2x\\\\= p(1 -2x)+2x\\\\\)

Using the PDF of the X value

\(fX(x) =2x +p(1 - 2x); \ 0\leq x\leq 1\)

0 ; otherwise

For point b:

\(E(X)=\int^{1}_{0} \ x fX (x)\ dx=\int^{1}_{0} \ x(2x+p(1-2x))\ dx\\\\=\int^{1}_{0} \ (2x^2+(x-2x^2)p) dx\\\\\)

\(= 2(\frac{x^3}{3}) + (\frac{x^2}{2}-2(\frac{x^3}{3}) \begin{vmatrix} x=1\\ x=0\end{vmatrix} \\\\\)

\(= \frac{2}{3} + (\frac{1}{2} - \frac{2}{3})p\\\\= \frac{2}{3} -\frac{p}{6}\\\\= \frac{(4 - p)}{6}\)

Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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In a trial of 10 versus 500, the experimental probability is expected to be closer to the theoretical probability when there are more trials (500 in this case).

The experimental probability and theoretical probability can be compared in a trial of 10 versus 500 by understanding the concepts behind each type of probability.

Theoretical probability is based on mathematical calculations and is determined by analyzing the possible outcomes of an event. It relies on the assumption that the event is equally likely to occur, and it can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Theoretical probability is often considered the expected or ideal probability.

On the other hand, experimental probability is determined through actual observations or experiments. It involves conducting the event multiple times and recording the outcomes to determine the relative frequency of a specific outcome. The experimental probability is an estimation based on the observed data.

In the given trial of 10 versus 500, we can expect the experimental probability to be closer to the theoretical probability when the number of trials (or repetitions) is larger. In this case, with 500 trials, the experimental probability is likely to be a more accurate representation of the true probability.

When the number of trials is small, such as only 10, the experimental probability may deviate significantly from the theoretical probability. With a smaller sample size, the observed outcomes may not accurately reflect the expected probabilities calculated theoretically.

In summary, in a trial of 10 versus 500, the experimental probability is expected to be closer to the theoretical probability when there are more trials (500 in this case). As the number of trials increases, the observed frequencies are likely to converge towards the expected probabilities calculated theoretically.

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Answer:

x = 95

Step-by-step explanation:

The total degree of a circle is 360. The twp arcs on each side of the parallel lines are equal.

Subtract 135 and 35 from your total

360 - 135 - 35 = 190

Divide your answer by 2

190 ÷ 2 = 95

Explanation:

\(\dashrightarrow \sf \ \ 2t-t-t+5t+6t+10t\)

combine similar terms

\(\dashrightarrow \sf \ \ 5t+6t+10t\)

addition

\(\dashrightarrow \sf \ \ 21t\)

Answer:

21t

Step-by-step explanation:

2t-t-t+5t+6t+10t

=2t-t-t=0

Then,

         5t+6t+10t = 21t ans.

Answer:

Reasoning:

You multiply x by 9 and 2 by 9 and it expands out from 9(x+2) to 9x+18

I hope this helps and good luck!

Answer:

9x + 18

Step-by-step explanation:

9 times x = 9x

9 x 2 = 18

Answer:

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = 0.4404

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 0.10 inches

Given that the standard deviation of the population = 0.07inches

Let 'X' be a random variable in a normal distribution

\(Z = \frac{x-mean}{S.D} = \frac{0.11-0.10}{0.07} = 0.1428\)

Step(ii):-

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = P(Z≤0.1428)

               =  1-P(Z≥0.1428)

              =  1 - ( 0.5 +A(0.1428)

            =  0.5 - A(0.1428)

            = 0.5 -0.0596

           = 0.4404

Final answer:-

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = 0.4404

Answer:

  (b)  (3,-1)

Step-by-step explanation:

One can determine the correct answer by checking to see if it satisfies the equations.

The first equation can be rewritten to ...

  x = 6 +3y . . . . . . . add 3y to both sides

This makes it easier to check answer choices:

  a) -1 = 6 +3(3) . . . . no

  b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution

  c) 1 = 6 +3(-3) . . . . no

  d) -3 = 6 +3(1) . . . . no

__

Additional comment

We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:

  2x +2y = 4 . . . for (x, y) = (3, -1)

  2(3) +2(-1) = 4 . . . . yes

The required slope of the line is -1/4 which passes through points (1,-1) and (5,-2).

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

Let

x₁ = 1 , y₁ = -1

x₂ = 5, y₂ = -2

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula, and we get

m = (-2 - (-1))/(5 - 1)

m = (-2 + 1)/(4)

m = -1/4

Thus, the required slope of the line is -1/4.

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Answer:

250

Step-by-step explanation:

answer:

895

Step-by-step explanation:

Answer:

895

Step-by-step explanation: "hope this helps" :3

We can see that all the points of the polygon A'B'C'D'E' are the points of the polygon ABCDE reflected over the y axis.

Thus, the equation of the line of reflection is x = 0, which is option B.