Mrs. Perez has 28 students and 5
7
of those students participate in school sports. How many of Mrs. Perez’s students participate in school sports?

Answer:

0.2 OR 1/5          

Hope that helps!

Step-by-step explanation:

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

Allie: 68  Sam: 59

Step-by-step explanation:

You take 40% from 68 and 25% from 236 and boom.

The required number of patients for Allie and Sam are 68 and 59 respectively.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

And to convert a fraction or a decimal into percentage, they are multiplied by 100.

Given that,

The percentage of patients found by Allie as near sighted out of 170 is 40%.

And, the percentage of patients found by Sam as near sighted out of 236 is 25%.

The respective number of students can be found by multiplying the total number with the percentage value as,

(a) The number of patients Allie found as near-sighted is,

40% of 170

= (40/100) × 170

= 68

(b) The number of patients Sam found as near-sighted is,

25% of 236

= 25/100 × 236

= 1/4 × 236

= 59

Hence, the number of patients found by Allie and Sam as near sighted is 68 and 59 respectively.

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Answer:

Step-by-step explanation:

1y + 12 = 6 (1y + 1)

1y + 12= 6y + 6

12 - 6 = 6y - 1y

6 = 5y

y = 6/5

y = 1.2

I don't what you meant by rounding to 2 decimal points so my answer is

The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

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The factoring of the quadratic function as a product of two binomials is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

The quadratic function for this problem is given as follows:

x² + 10x + 24.

To factor the quadratic function as a product of the two binomials, we must obtain it's roots, that is, solve:

x² + 10x + 24 = 0.

The coefficients of the quadratic function are given as follows:

a = 1, b = 10, c = 24.

Hence the discriminant is of:

D = 10² - 4 x 1 x 24 = 4.

The first root of the quadratic function is given as follows:

x = (-10 - square root of (4))/2 = -6.

The second root of the quadratic function is given as follows:

x = (-10 + square root of (4))/2 = -4.

Hence, using the Factor Theorem, the binomial product is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

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The grams of cocoa does it contains is 36.57 grams

From the question, we have the following parameters that can be used in our computation:

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

An interval is a set of real numbers that includes all the numbers between two endpoints. The endpoints can be included or excluded from the interval, depending on whether square brackets or parentheses are used to define the interval.

The equation is:

\(tan(\theta) = 3.804\)

To solve for θ, we can use the inverse tangent function (also known as arctan or tan^-1) on both sides of the equation:

\(\theta = tan^-1(3.804)\)

Using a calculator, we can evaluate this expression and get:

\(\theta \approx 1.305\) radians (rounded to three decimal places)

Therefore, the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

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Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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Answer:

Surface area of the smaller pyramid will be 225 cm²

Step-by-step explanation:

Two similar pyramids have their matching or corresponding sides in the ratio of 5 : 7.

In other words,

\(\frac{\text{One side of the smaller pyramid}}{\text{One side of the larger pyramid}}\) = \(\frac{5}{7}\)

Therefore, \(\frac{\text{Surface area of the smaller pyramid}}{\text{Surface area of the larger pyramid}}\) = \((\frac{5}{7})^{2}\)

\(\frac{S_{\text{small}}}{S_{\text{large}}}=\frac{25}{49}\)

\(\frac{S_{\text{small}}}{441}=\frac{25}{49}\)

\(S_{\text{Small}}=\frac{441\times 25}{49}\)

          = 225 cm²

Therefore, surface area of the smaller pyramid will be 225 cm².

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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Answer:

2(4x-3)

Step-by-step explanation:

Find common numbers between 8 and 6, which is 2. 2x4= 8 2x3=6

x is only on 8 so you can't put x on the outside of the bracket. so you put it with the 4 so it comes out correct

Answer: B

Step-by-step explanation:

The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).

This eliminates everything except for B.

Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Answer:

44

Step-by-step explanation:

3 x 12 = 36 + 8 = 44

Answer:

Step-by-step explanation:

For "a" less than zero the solution of the equation x²  - a = 0 will be complex

What are Complex Numbers?

A complex number is a number system that extends the real numbers with a specific element designated "i" known as the imaginary unit, in mathematics.

Solution:

We are given with the equation x²  - a = 0

After Rearranging it a bit the new equation formed will be x² = a

So, x can be written as √a and for "a" beloinging to any real number less than zero wil make the root of the equation complex

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer: 5.8%

Step-by-step explanation: .

Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

Answer:A

Step-by-step explanation:horizontal asymptote at y=0

The statement i.e. true when there is given graph of the equation so it should be  that There is a horizontal asymptote at y = 0.

It should be arise with respect to the rational function at the point when the denominator should be zero and the numerator should not be equivalent to zero.

So based on this, we can say that The statement i.e. true when there is given graph of the equation so it should be  that There is a horizontal asymptote at y = 0.

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Answer: 6, 5, 4

Step-by-step explanation:

The mode is the number that you see the most. 6, 5, and 4 appear 3 times in the set.

Answer:

6,5,4

Step-by-step explanation:

the all tie in repeating 3 times. The mode is what repeats the most. since 6,5,4 all repeats 3 times they tie for mode.

The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

\(x=\frac{m a+M b}{m+M}\)

and y=0

\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)

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Answer:

x = 7

Step-by-step explanation:

opposite sides are equal so we can set up this equation and solve for 'x':

3x-2 = 19

3x = 21

x = 7

Answer:

I cant see

Step-by-step explanation:

Answer:

Every numbered angle is 90 degrees

Step-by-step explanation:

Using the right angle we are given, linear pairs and a vertical angle give us that angles 1, 2, and 3 are also right angles.

Then using corresponding angles we can find that one of the 4-7 angles. From there we can use linear pairs the same as the first step.