mathematics Secondary school

## Answer

**Answer 1**

The correct answer is option A.

Step-by-step explanation:

The fraction given is;

So both are a multiple of 4

A mixed number (fraction) is a combination of a whole number and a true fraction with the same sign.

as a mixed number in its simplest form.

The correct answer is option A.

Keywords: fraction, mixed number

Read more about fractions at:

- brainly.com/vraag/1087090
- brainly.com/vraag/1096947

#AprendeConBrainly

## Related Questions

Challenge: You have a 500 foot chain link fence and a large field. You want to shield a rectangular playing field. What is the largest play space it can enclose? This is the area

from the playground?

### Answer

Answer:

Dimensions of the rectangular area:

x = 125 feet

y = 125 feet

A(máx) = 15625 ft²

Step-by-step explanation:

Let's call x and y the width and height of the rectangular area. and P the circumference

So

A = x*y

And since we have 150 meters of fencing material

P = 2*x + 2*y ⇒ 500 = 2*x + 2*y ⇒ y = (500 - 2x) / 2

y = 250 - x

So the rectangular area is:

A = x * y ⇒ A (x) = x* ( 250 - x ) ⇒ A (x) = 250*x - x²

Taking derivatives on both sides of the equation, we get:

A´(x) = 250 - 2*x

A´(x) = 0 250 - 2*x = 0 ⇒ 2x = 250 ⇒ x = 125 Kuchen

Y y = 250 - x ⇒ y = 125 Fuß

We really have a 125 foot square.

To the area

A (max.) = 125*125 = 15625 ft²

Compare the graphs of the function ????(x) = −2(x + 3)^2 + 2 and ????(x) = 5(x + 3)^2 + 2. What do the graphs mean? stand for? Pictures? have in common? What's the difference between them?

### Answer

Answer:

Similarity: both functions have the same vertex in the point.

Difference: It is a downward opening parabola while it is an upward opening parabola.

Step-by-step explanation:

We got two functions: and . We are asked to compare the graphs of the given function.

We know that the standard form of a parabola with vertex at (h,k) has the form

Let's find the similarity in both diagrams.

- Comparing both functions with the standard shape of a parabola, we can see that the vertex of both parabolas is in the point.

Let's find the difference in both graphs.

We can see that the leading coefficient is positive, so it is a parabola with an upward opening.

We can also see that the leading coefficient of is negative, so it is a downward opening parabola.

Consider the case of a triangle with sides 5 and 12 and an angle between them of 90°. Nasty. What is the easiest way to find the missing page?

B. What is the easiest way to find the missing corners?

C. Can you use the law of cosines to find the missing side? If so, do the math. If not, show why not.

D. Can you use the law of cosines to find the missing angles? If so, do the math. If not, show why.

NEE.

Mine. Consider a triangle with sides a, ???? and an angle between them of 90°. Use the law of cosines to prove a well-known theorem. Formulate the sentence.

F. Summarize what you learned in parts (a) to (e).

### Answer

Answer:

a) Application of the Pythagoras theorem

b) Trigonometric relationships

c) No, we can't

d) No, we can't

e) See step-by-step explanation

f) View the explanation step by step

Step-by-step explanation:

a) The easiest way to calculate the missing page is to use the Pythagoras theorem

c² = a² + b²

c² = (5)² + (12)² ⇒ c² = 25 + 144 ⇒ c² = 169 ⇒ c = 13

b) The easiest way to find the missing angles is to calculate sin∠ and then look up the arcsin function in the tables.

sin ∠α = 5/13 sin ∠α = 0.3846 ⇒ arcsen (0.3846 ) α = 23⁰

Now we can get the other angle by subtracting 180 - 90 - 23 = 67⁰

Of berek sinβ = 12/13 sinβ = 0.9230 arcsin(0.9230) β = 670

c) The law of cosines should not be applied to right triangles, in fact, for example, we have in our particular case:

question a)

c2 = a2 + b2 - 2*a*b*cos900 (cosinusverhooding), maar cos 900 =

then c² = a² + b², which is the expression of the Pythagorean theorem

Just in case you want to calculate the missing angles

c² = a² + b² - 2*5*13*cos a

169 = 25 + 144 - 2*5*13* well one

As you can see, 169 - 25 - 144 = 0

Therefore, we cannot apply the law of cosines in right triangles, we have to apply the trigonometric relations and the Pythagorean theorem, and as we have seen, you can get the expression of the Pythagorean theorem from the law of cosines.

c² = a² + b² - 2*a*b*cos∠90° cos∠ 90° = 0

Entonces c² = a² + b²

Complete the square: ax^2 + x + 3.

### Answer

Answer:

The value of a is .

Step-by-step explanation:

The given expression is

A quadratic expression is a complete square if

For the given expression a=a,b=1 and c=3.

Add 12a on both sides.

Divide both sides by 12.

Hence the value of a.

Answer:

Step-by-step explanation:

We got a printout. We are asked to round the square of the given expression.

First we factor our a like this:

Now we need to add and subtract half the square of the mean term, that is:

Hence our requirement would be square.

Calculate a player's net profit for each of the three outcomes: small, medium, and large.

### Answer

Calculate a player's net profit for each of the three outcomes: small, medium, and large.

Given a right triangle whose side lengths are all integer multiples of 8, how many units are in the smallest possible perimeter of the triangle?

### Answer

Answer:

96 units.

Step-by-step explanation:

Let a, b be the legs and c be the hypotenuse of the given right triangle.

We are told that in the given triangle all lengths of the sides are integer multiples of 8. Using the Pythagorean theorem, we can represent this information in an equation like this:

If we divide both sides by 64, we get:

We know that the smallest Pythagorean triplet is like this.

Since all sides are a multiple of 8, the smallest possible size would be .

Therefore, the smallest possible perimeter of such a triangle would be 96 units.

The Thompson family travels 1,500 miles to visit relatives. You plan to walk the same distance every day. If the Thompsons can make the trip in three days, how far will they travel each day?

### Answer

Answer: You drive 500 miles every day.

Step-by-step explanation:

The Thompson family travels 1,500 miles to visit relatives. You plan to walk the same distance every day.

Let x be the distance they travel each day. If the Thompsons complete the journey in 3 days, that means the total distance they covered in 3 days would be

3 × x = 3x thousand

Therefore, the distance they travel each day would be

3x = 1500

Dividing both sides of the equation by 3 gives:

3x/3 = 1500/3

x = 500 miles

Maria earns 603.75 for 35 hours of work, what is her hourly wage?

### Answer

Answer:

$17.27 per hour

Step-by-step explanation:

6 children and 2 adults go to the circus. Child tickets are half the price of adult tickets for a total of $54. How much is a child ticket and an adult ticket?

### Answer

Answer:

The price for an adult ticket is $10.8 and for a child ticket $5.4.

Step-by-step explanation:

Datum:

Number of adults = 2

Number of children = 6

Total tickets sold = $54.

We need to determine the price for a child ticket and an adult ticket.

Solution:

Let "x" be the price of an adult ticket.

Now given:

Children's tickets are half the price of adult tickets.

Cost for 1 child ticket =

The total amount is equal to the number of adults multiplied by the adult ticket price plus the number of children multiplied by the child ticket price.

Substituting the equation to get;

Cost for 1 adult ticket = $10.8

Cost for 1 child ticket =

Therefore, the price of an adult ticket is $10.8 and a child ticket is $5.4.

Consider triangles with the following dimensions. Given two sides, use the law of cosines to find the measure of the third side. Given three sides, use the law of cosines to find the measure of the angle between them

one and ????.

A. a = 4, ???? = 6, m∠???? = 35°

B. a = 2, ???? = 3, m∠???? = 110°

C. a = 5, ???? = 5, m∠???? = 36°

D. a = 7,5, ???? = 10, m∠???? = 90°

Y. a = 4.4, ???? = 6.2, m∠???? = 9

F. a = 12, ???? = 5, m∠???? = 45°

grams. a = 3, ???? = 6, m∠???? = 60°

H. a = 4, ???? = 5, k = 6

I. a = 1, ???? = 1, k = 1

J. a = 7, ???? = 8, k = 3

k. one = 6, ???? = 5.5, c = 6.5

i one = 8, ???? = 5, k = 1

Subway. a = 4.6, ???? = 9, c = 11.9

### Answer

Answer:

You will find the answers in the explanation section.

Step-by-step explanation:

Cosine rule for side c:

a) c = 3.561

b) c = 4.136

c) c = 3,09

d) c = 12,5

e) c = 1.978

f) c = 9.173

g) c = 5.196

Cosine rule for angle C:

h) C = 82.819°

yo) C = 60°

j) C = 21.787°

k) C = 68,676°

l) The sides (8, 5, 1) cannot form a triangle. It's impossible.

m) C = 118.454°

Describe the circle given by the equation (x − 7)^2 + (y − 8)^2 = 9.

### Answer

The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7.8) and radius 3

Step-by-step explanation:

The equation of the circle with (h,k) as center and radius r is given by:

(x-h)²+(y-k)² = r²

Here we have to describe the circle given by the equation (x − 7)² + (y − 8)² = 9

Change the equation to the form (x-h)²+(y-k)² = r²

(x − 7)² + (y − 8)² = 9

(x − 7)² + (y − 8)² = 3²

Dus h=7, k=8 and r=3

The center is (7.8) and the radius is 3

The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7.8) and radius 3

Evaluate each of the following expressions without using a calculator. Use units of measurement in radians. Mine. sin−1(1) f.sin−1(−1)

gram. cos−1(1) h. cos−1(−1)

I. tan−1(1) j. tan−1(−1)

### Answer

Answer:

mi)

F)

gram)

H)

I)

J)

Step-by-step explanation:

We can solve this problem by looking at a simple trigonometric table

Here I will list sine and cosine values at the points and

Therefore, the sine takes on the value 1, while in its opposite value - \pi/2 - it takes on the value -1 (because it is an odd function). If we use sin's periodicity, then sin(-\pi/2 + 2\pi) = -1. For this reason

The cos takes the value 1 at 0 and at -1

The tangent is the ratio between sin and cos. The tangent is 1 if both cosine and sine are equal. We can see that they are equal in where they take the value

The tangent is -1 if they are opposite. This happens where they change the value resp.

Describe the relationship between the graphs of y = x^2 and y = 3√x. How are they similar? What's the difference between them?

### Answer

differences:

- x² can be defined over all real numbers, while 3√x allows only positive values for x (or 0). So the graph of 3√x starts at x = 0
- 3√x increases in its area while x² has an interval in which it decreases.
- x² has a derivative at every element in its domain, while 3√x has no derivative at 0
- The second derivative of x² is positive for all its values, while the second derivative of 3√x is negative. So the graph of x² is convex while the graph of 3√x is concave.

agreements:

- Both functions increase for positive values of x.
- Both functions have a minimum at the point (0,0)
- The rest of the plot points lie above the x-axis (this means that both functions besides 0 take positive values)
- If you set the limit on x to +infty, the result is +infty
- The function has no horizontal or vertical asymptote.

Find the missing vertex of a right triangle with vertices (6,2) and (5,5) when the third vertex is on the y-axis. Check your answer by displaying it graphically.

### Answer

Answer:

Anyone can be 0 or 10/3

Step-by-step explanation:

Since a right triangle has vertices like (6,2), we need to find the third vertex on the y-axis

Since the third vertex is on the y-axis, it would have coordinates like (0,a)

Using the slope formula, we can say that a pair of sides are perpendicular to each other.

Let A (6,2) B (5,5) in C (0,a)

Slope of AB = change in Y coordinate / change in X coordinate = -3

BC helling =

AC helling =

If AB and BC are perpendicular to each other, then

... I

Or if BC and CA are perpendicular to each other, then

(a-5)(a-2)= -30

no real roots

Or when CA and AB are perpendicular to each other

(a-2) =-2

at=0

Anyone can be 0 or 10/3

Kate has 20 free throws in basketball games this year. That's 80% of the free throws he's attempted. To find the total number of free throws she attempted, Kate wrote the equation

### Answer

Answer:

Total free throws attempted = 25

Step-by-step explanation:

From the statement we can say:

20 free throws account for 80% of the total number of attempts

80% in decimals is:

80/100 = 0,8

If the total number of attempts is x, we can say:

20 is 80% (0.8) of x

Now we can write an algebraic equation:

20 = 0.8x

We just solve for x, the number of free throws he attempted:

In total, Kate attempted 25 free throws.

Elsie pays $8.99 for a 1 pound can of Georgia walnuts. Write and solve a ratio to find the cost of 4 ounces of nuts needed for a specific recipe. (Round your answer to the nearest cent.)

### Answer

Answer:

35,96 $

Step-by-step explanation:

1 pound = $8.99, so 4 pounds = $?

1/8,99=4/x

1x=4*8,99

x=35,96

Answer:

35,96 $

Step-by-step explanation:

I'll be happy to help you.

Example 1 The following is the equation of a circle with radius 5 and center (1,2). do you understand why

x^2−2x+1+y^2−4y+4=25

### Answer

Answer:

The answer to your question is to find the center and radius of the polynomial. We conclude that the information provided is correct.

Step-by-step explanation:

x² - 2x + 1 + y² - 4y + 4 = 25

First factor the first three terms into a perfect quadratic trinomial.

(x - 1)² + y² - 4y + 4 = 25

Second, factor the last terms into a perfect quadratic trinomial

(x - 1)² + (y - 2)² = 25

Find the numbers of each factor and change their sign

Example (x -1)² = 1

(y - 2)² = 2

These numbers are the center of the circle (1, 2)

Take the square root of 25

that's the radius

So center = (1, 2) and radius = 5

Example 1: Using the addition rule for incoherent events A set of 40 cards consists of the following:

10 black cards with squares

10 black cards with circles

10 red cards with X

10 red cards with diamonds

A card is drawn at random from the pool. Calculate the probability that the card is black or diamonds.

### Answer

Answer:

The probability that the card is black or diamonds is 0.75

Step-by-step explanation:

For the probability that the card is black or shows a diamond, the probabilities must be calculated separately and added up.

This is an example of the addition rule for disjointed events.

- The probability that the card is black is
- The probability that the card shows diamonds is
- after all, the probability that the card is black or shows a diamond is 0.5 + 0.25 = 0.75

Example 1: Calculation of Normal Probabilities Using ???????? Scores and Tables of Standard Normal Areas The United States Department of Agriculture (USDA) states in its Official Diet Plans (www.cnpp.usda.gov) that the average food cost for a man ages 14 to 18 (on the moderate cost plan) would be $261.50 per month. Let's have the monthly meal

Costs for a 14- to 18-year-old male are approximately normally distributed with a mean of $261.50 and a standard deviation of $16.25.

Nasty. Use a table of standard normal curve areas to find the probability of what the monthly cost of groceries will be for a randomly selected 14- to 18-year-old male

Yo Minder and $280.

ii. Over $270.

iii. Over $250.

IV Between $240 and $275.

B. Explain the meaning of the probability you found in part (a)(iv).

### Answer

Answer:

years) 0.872

ii) 0.300

iii) 0,76

iv) 0,704

Step-by-step explanation:

In the question we get the following information:

Average μ = $261.50 per month

standard deviation, σ = $16.25

We learn that the distribution of the monthly cost of groceries for a man aged 14 to 18 is a bell-shaped distribution, i.e. a normal distribution.

Formula:

a) P (minder and $280)

We calculate the value of the standard normal z-table:

b) P (over $270)

P(x > 270)

270) = P( z > \displaystyle\frac{270 - 261,50}{16,25}) = P(z > 0,523)" alt="P( x > 270) = P( z > \displaystyle\frac {270 - 261,50 {16,25}) = P(z > 0,523)" align="absmiddle" class="látex-formula">

We calculate the value of the standard normal z-table:

270) = 1 - 0,700 = 0,300 = 30,0\%" alt="P(x > 270) = 1 - 0,700 = 0,300 = 30,0\%" align="absmiddle" class="látex-formula">

c) P (over $250)

P(x > 250)

250) = P( z > \displaystyle\frac{250 - 261,50}{16,25}) = P(z > -0,707)" alt="P( x > 250) = P( z > \displaystyle\ frac{250 - 261,50}{16,25}) = P(z > -0,707)" align="absmiddle" class="látex-formula">

We calculate the value of the standard normal z-table:

250) = 1 - 0,240 = 0,76 = 76,0\%" alt="P(x > 250) = 1 - 0,240 = 0,76 = 76,0\%" align="absmiddle" class="látex -Formel">

d) P (between $240 and $275)

e) Therefore, 0.704 is the probability that the monthly grocery costs for a randomly selected 14- to 18-year-old male are between $240 and $275.

A clothing store buys shorts from the manufacturer. The store then raises the price by 6%. Write an expression, such as Sum, to represent the new price if the original price of the short position was $12.

### Answer

Answer:

Step-by-step explanation:

Let x be the new price of the shorts.

The original price of the shorts is $12. The store then raises the price by 6%. This means that it is the amount for which the original price has been increased

6/100 × 12 × 0,06 × 12 = 0,72 $

The short sale's new price would be the sum of the original price and the amount it was marked for. Is becoming

x = 12 + 0,72

## FAQs

### What is 16 3 as a mixed number in simplest form? ›

Answer: 16/3 in a mixed fraction is **5 1/3**.

**What is 7 3 4 as a mixed number? ›**

The mixed number 7 3/4 can be changed into the improper fraction **31/4**. When converting a mixed number into an improper fraction, follow these steps: The denominator of the improper fraction will be 4, since the denominator of the original fraction is 4.

**What is 28 3 as a mixed number in simplest form? ›**

Solution: 28/3 as a mixed number is **9 1/3**.

**What is 32 16 as a mixed number? ›**

Solution: 32/16 as a mixed number is **2 /16**.

**What is 3 4 of 16 in simplest form? ›**

3/4 * 16 = **12**1 = 12

Spelled result in words is twelve.

**What's 16 as a fraction in simplest form? ›**

Solution: 16% as a fraction is **4/25**.

**What's 7 4 as a mixed number? ›**

Answer: 7/4 as a mixed number can be written as **1 3/4**. Let's look at how to write 7/4 as a mixed number in the explanation below. Explanation: 7/4 is an improper fraction.

**What is 7 and 3 4 as a decimal? ›**

Solution: 7 3/4 as a decimal is **7.75**.

**What is 3 7 as a mixed number? ›**

Solution: 3/7 as a mixed number is 3/7.

**What is 1 3 of 24 in fraction form? ›**

Thirds are calculated by dividing by 3. For example: One third of 24 =1/3 of 24 = **24/3** = 8.

### What is 3 3 as a mixed number? ›

Solution: 3/3 as a mixed number is **1 /3**.

**Is 28 divisible by 3? ›**

The number 28 divided by 3 gives **9 1/3** or 9.33.

**What is 16 4 mixed? ›**

Solution: 16/4 as a mixed number is **4 /4**.

**What is 7 8 1 3 in fraction form? ›**

7/8 - 1/3 = **1324** ≅ 0.5416667

Spelled result in words is thirteen twenty-fourths.

**What is 4 3 4 in fraction form? ›**

Answer: 4 3/4 as an improper fraction is **19/4**.

**What is 2 3 3 4 in simplest form? ›**

In the following intermediate step, it cannot further simplify the fraction result by canceling. In other words - two thirds plus three quarters is **seventeen twelfths**.

**What is 3 4 of 16 equal to? ›**

3/4 of 16 is equal to **12**. To find this, you can divide 16 by 4 to get 4, and then multiply that result by 3 to get 12.

**What is 16 16 as a mixed number? ›**

Solution: 16/16 as a mixed number is **1 /16**.

**What is 8 16 in its simplest form? ›**

8/16 simplifies to **1/2**. This fraction is also known as one-half. It can also be expressed as fifty percent.

**What is 12 16 as a fraction? ›**

12/16 = **34** = 0.75

Spelled result in words is three quarters.

### What is the fraction 1 2 3 16 and 7 8 with an LCD? ›

Answer: The fractions 1/2, 3/16, and 7/8 with an LCD can be expressed as **8/16, 3/16 and 14/16**.

**What is 16 9 as a mixed number? ›**

Solution: 16/9 as a mixed number is **1 7/9**.

**What is a mixed number 4th grade? ›**

A mixed number is **a whole number, and a proper fraction represented together**. It generally represents a number between any two whole numbers. Look at the given image, it represents a fraction that is greater than 1 but less than 2.

**What is the decimal for 9 3 4? ›**

Solution: 9 3/4 as a decimal is **9.75**.

**What is 8 3 4 as a decimal? ›**

Solution: 8 3/4 as a decimal is **8.75**.

**What is the decimal for 6 3 4? ›**

Solution: 6 3/4 as a decimal is **6.75**.

**What is 15 5 as a mixed fraction? ›**

Solution: 15/5 as a mixed number is **3 /5**.

**What is 1 2 plus 3 7 as a fraction? ›**

3/7 + 1/2 = **1314** ≅ 0.9285714

Spelled result in words is thirteen fourteenths.

**How much is 1 3 out of 6? ›**

Answer: 1/3 of 6 is **2**.

**What is 1 3 times 4 in fraction form? ›**

In the following intermediate step, it cannot further simplify the fraction result by canceling. In other words - one third multiplied by four is **four thirds**.

### What is 1 3 of 100 in fraction form? ›

Answer: 1/3 of 100 is **100/3** or 33⅓.

**What is 3 12 as a mixed number? ›**

Solution: 3/12 as a mixed number is **3/12**.

**What is 3 4 as a mixed number answer? ›**

Solution: 3/4 as a mixed number is **3/4**.

**What is 3 3 4 as a mixed number? ›**

Answer and Explanation: The improper fraction **15/4** is equivalent to the mixed fraction 3 3/4.

**Is 28 divisible by 4? ›**

The factors of 28 are the numbers that can evenly divide 28. These factors are **1,2,4,7,14 and 28**.

**Is 28 divisible by 2? ›**

Answer: **Yes, 28 is divisible by 2**, as it is an even number.

**What is 28 divided by 3 as a decimal? ›**

Solution: 28/3 as a decimal is **9.33**.

**Is 1 4 and 4 16 equivalent? ›**

Answer: **The fractions equivalent to 1/4 are 2/8, 3/12, 4/16**, etc. Equivalent fractions have the same value in their reduced form.

**How many times does 1 16 go into 1 4? ›**

There are **4 sixteenths** in one-fourth. To find how many sixteenths are in one-fourth, we need to divide 1/4 by 1/16.

**What fraction of 16 is 4? ›**

4/16 = 14 = 0.25

Spelled result in words is **one quarter**.

### Which is the largest fraction 1 7 8 2 8 10 3 12 15 4 3 4? ›

The correct answer is **7/8**.

**Which is the largest fraction 3 4 7 8 4 5 7 9 7 100? ›**

Answer. Answer: **7/8** is correct answer.

**What is 2 1 4 plus 5 7 8 as a fraction? ›**

2 1/4 + 5 7/8 = **658** = 8 18 = 8.125. Spelled result in words is sixty-five eighths (or eight and one eighth).

**What is simplest form? ›**

The simplest form is **the smallest possible equivalent fraction of the number**. Steps for finding the simplest form: Search for common factors in the numerator and denominator. Check whether one of the numbers in the fraction is a prime number.

**What is 2 3 3 5 as a fraction? ›**

Answer: 2/3 + 3/5 as a fraction is **19/15**.

**What is 16 2 3 as a ratio in the simplest form? ›**

Answer: 16 2/3 = **50/3**.

**How do you split 16 into 3? ›**

16 divided by 3 is **5 with a remainder of 1** (16 / 3 = 5 R. 1). The remainder can also be written as a fraction by using the remainder as the numerator...

**How do I simplify a ratio? ›**

Like fractions, ratios can often be simplified. To simplify a ratio, **divide all parts of the ratio by their highest common factor**. For example, the highest common factor of both parts of the ratio 4:2 is 2 , so 4:2=2:1 4 : 2 = 2 : 1 .

**Is 16 a multiple of 2 and 3? ›**

**Common multiples of 2 and 3** = 6 , 12 , 18 , 24 , 30 , …

**Does 3 go into 16? ›**

**The quotient (the number of times that 3 goes into 16**) is 16/ 3 = 5 and the remainder is 16 % 3 = 1.

### What is 2 3 as a mixed number? ›

Solution: 2/3 as a mixed number is 2/3.