What fraction is equal to 35%

Answer:

3

Step-by-step explanation:

5x - 8 = 7

5x = 7+8

5x = 15

x = 15 ÷ 5

x = 3

To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.

To graph the solutions to the inequality k > 5 on a number line, follow these steps:

Draw a horizontal line and mark a point for the number 5 on the line.

-------------------|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.

-------------------|---|---|---|---○---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.

-------------------|---|---|---|---○===================>

0 1 2 3 4 5 6 7 8 9 10

The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.

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Answer:

18 cookies

Step-by-step explanation:

3/4 = 75%

75% = 0.75

Multiply this by 24 = 18 cookies

the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Answer:

23x+10y

Step-by-step explanation:

add all x variables and all y variables together

Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t

c. It will take over 7 years for the accounts to be equal.

The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.

Simple interest = P(1 + rt)

Compound interest = P(1 + r/n)ⁿˣ

To solve this, we can write equations;

For the first scenario;

\(S = 200(1.1)^t\)

For the second scenario;

S = 250 + 20t

NB: The first case is a compound interest while the second is a simple interest.

c. To determine when the two accounts will be equal;

\(250 + 20t = 200(1.1)^t\)

Solving for t;

t = 7.01 ≈ 7 years

Therefore, it will take over 7 years for the accounts to be equal

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The expression y ÷ [3(4 - 2) + 5.5] in the simplified form will be y ÷ 11.5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ y ÷ [3(4 - 2) + 5.5]

Simplify the denominator, then we have

⇒ [3(4 - 2) + 5.5]

⇒ [3(2) + 5.5]

⇒ [6 + 5.5]

⇒ 11.5

Then the expression is written as,

⇒ y ÷ [3(4 - 2) + 5.5]

⇒ y ÷ 11.5

The expression y ÷ [3(4 - 2) + 5.5] in the simplified form will be y ÷ 11.5.

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Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

13g*4g+7

Step-by-step explanation:

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

the answer is 2996848

Step-by-step explanation:

According to the question, there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

The trapezium is a 2 -dimensional plane shape with the area calculated as shown below:

The formula for calculating the area of a trapezoid is expressed as:

Area = 0.5(a + b)h

Given the following parameters

Substitute the given parameters
Area = 1/2 (500 + 900) * 800
Area = 1/2 (1400) * 800
Area = 560000 square feet

Since 1 acre is equivalent to 43560 square feet, hence the total acre required is expressed as:

Total acre = 560000/43560
Total  acre = 12.856 acres

Also since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

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The probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

In probability theory, an outcome is the result of a random experiment, such as rolling a die, flipping a coin, or drawing a card from a deck. An outcome can be a single event, such as rolling a 3 on a die, or a combination of events, such as rolling a 1 and then a 4 on two consecutive rolls of a die.

The probability of an outcome is a number between 0 and 1 that measures the likelihood of that outcome occurring. A probability of 0 means that the outcome is impossible, while a probability of 1 means that the outcome is certain. For example, the probability of rolling a 7 on a single roll of a standard die is 0, because there is no face on the die with a 7. The probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6 each, because each face on the die has an equal chance of showing up.

The probability of obtaining a 6 on a single roll of a fair die is 1/6. The probability of not obtaining a 6 on a single roll is 5/6.

To obtain exactly two 6's in four rolls, we can use the following approach:

So the probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

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The system of equations that shows the situation is option 1.  L+J=29  L=2J-10

The question tells us that the summation of the age of Latifa and Jameel is 29

Let J = Jameel

L = Latifa

L + J = 29

The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted

L = 2J - 10

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A three-person jury can be selected from a pool of eleven people in 165 ways.

For the given question;

The total number of person in the pool = 11.

The number of jury selected = 3.

Thus, the combination will be ⁿCₓ.

Where, n = 11 and x = 3.

¹¹C₃ = 11!/3!(11 - 3)!

Simplifying;

¹¹C₃ = 165

Thus, the number of ways in which three jury can be selected from 11 pool of members is 165.

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we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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Answer:

I answer dis already it’s 5

Step-by-step explanation:

Answer:

\(134^{\circ}\)

Step-by-step explanation:

Using the exterior angle theorem,

\(m\angle z=m\angle A+m\angle B=134^{\circ}\)

Using the exterior angle theorem, angle z is measured as 134°.which is the correct answer that would be an option (D).

The exterior angle theorem is a triangle theorem that asserts that the measure of the external angle created by an extended side of a triangle is equal to the sum of the measures of the triangle's remote interior angles.

The given data will be the following as:

Exterior angle to angle C of triangle ABC = z

The remote interior angle of triangle ABC are angled A = 58° and angle B = 44°.

Therefore:

The measure of angle z = measure of angle A + measure of angle B [according to the exterior angle theorem]

Substitute the values and we get

Measure of ∠z = 77 + 57

Measure of ∠z = 134°

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The equation of the asymptotes for the given function y = 8/x are x = 0 and y = 0.

What is an asymptote?

an asymptote is a straight line or a curve that a function approaches but never touches as the independent variable (usually denoted by "x") approaches a certain value or becomes very large or small.

In the case of a straight line asymptote, the function approaches the line as x approaches positive or negative infinity. If the line is horizontal, then the function approaches a horizontal asymptote, and if the line is vertical, then the function approaches a vertical asymptote. For example, the function y = 1/x has a vertical asymptote at x = 0, because as x approaches 0, the function approaches infinity (or negative infinity) and never touches the vertical line x = 0.

The given equation y = 8/x represents a hyperbolic function. The graph of this function has two asymptotes, one in the x-axis (y = 0) and the other in the y-axis (x = 0).

To find the equation of the asymptotes, we can use the fact that as x becomes very large or very small, the function approaches the asymptotes. The equation of the vertical asymptote, which is x = 0, can be obtained by taking the limit of the function as x approaches 0 from both the positive and negative sides. We get:

lim x→0+ 8/x = +∞

lim x→0- 8/x = -∞

So the vertical asymptote is x = 0.

The equation of the horizontal asymptote, which is y = 0, can be obtained by taking the limit of the function as x becomes very large. We get:

lim x→±∞ 8/x = 0

So the horizontal asymptote is y = 0.

Therefore, the equation of the asymptotes for the given function y = 8/x are x = 0 and y = 0.

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Answer: 28th batter

Step-by-step explanation: If she were to ever make it to the 28th batter, it would mess up the pattern because she wouldn’t be able to throw both at the same time. 7 x 4 = 28

\((f \circ g)(x) = x+12\)

Domain = [-3, infinity)

==================================================

Work Shown:

\(f(x) = x^2 + 9\\\\f(g(x)) = (g(x))^2 + 9\\\\f(g(x)) = (\sqrt{x+3})^2 + 9\\\\f(g(x)) = x+3 + 9\\\\f(g(x)) = x+12\\\\(f \circ g)(x) = x+12\\\\\)

In step 2, we replaced every x with g(x)

In step 3, we plugged in g(x) = sqrt(x+3)

The domain of g(x) is [-3, infinity), so this is the domain of \((f \circ g)(x)\) as well since the composite function depends entirely on g(x). Put another way: the input of f(x) depends on the output of g(x), so that's why the domains match up.

The overlapping triangles which are congruent by ASA are ΔEBC and ΔADC which is therefore denoted as option C.

This is a scenario in which all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Taking ΔEBC and ΔADC, we have the following below:

∠B=∠D (90°)

CB= CD (Given)

∠BCE=∠ACD( Common)

Therefore, by ASA we can deduce that,

Δ EBC ≅ΔADC.

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Answer: An equation of the line passing through point P(-6, 4) that is perpendicular to y + 8 = 2(x - 14) is:

y = -4x + 20

Step-by-step explanation:

The given equation is in slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line is 2, which means the line has a slope of 2 and is inclined at an angle of tan^-1(2).

To find an equation of a line that is perpendicular to this line, we need to find the negative reciprocal of the slope, which is -1/2. This means the slope of the line passing through point P(-6, 4) that is perpendicular to y + 8 = 2(x - 14) is -1/2.

Now we can use the point-slope form of a linear equation to find the equation of the line passing through point P(-6, 4) and having a slope of -1/2. The point-slope form of a linear equation is:

y - y1 = m(x - x1)

Where (x1, y1) is the given point, and m is the slope of the line. So by substituting the values we get:

y - 4 = -1/2(x + 6)

Which can be written as:

y = -1/2x + 4

So the equation of the line passing through point P(-6, 4) that is perpendicular to y + 8 = 2(x - 14) is:

y = -1/2x + 4

Graphing the equations can confirm that the lines are perpendicular as the slope of the first line is 2 and the slope of the second line is -1/2, the product of these slopes is -1 which means they are perpendicular to each other.

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

The description is as follows:

Step-by-step explanation:

The description of the net of a rectangular prism is as follows:

The length i.e. 12 centimeters would be multiplied by width of 9 and then it added to the height i.e. 5 centimeters

The above represent the description of the net of a rectangular prism