Write the word sentence as an equation. Then solve the equation.

The quotient of a number and $-1.5$ is $21$ .

Answer:

hey There

Step-by-step explanation:

This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).

Answer:

66.9%

i hope thats right

Answer:

5 m

Step-by-step explanation:

The area of a rectangle is found by doing length times width. To find a side length, or the width, do area divided by the length. In this case, it would be 40 divided by 8. 40/8 is 5 so the width is 5 m.

The width is 5 m.

Answer:

y= 3x + 5

Step-by-step explanation:

y

the intecept cross x=3 and y=5

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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Answer:

We need to determine 50% of 100 now and the procedure explaining it as such

Step 1: In the given case Output Value is 100.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 100 = 100%.

Step 4: In the Same way, x = 50%.

Step 5: On dividing the pair of simple equations we got the equation as under

100 = 100% (1).

x = 50% (2).

(100%)/(x%) = 100/50

Step 6: Reciprocal of both the sides results in the following equation

x%/100% = 50/100

Step 7: Simplifying the above obtained equation further will tell what is 50% of 100

x = 50%

Therefore, 50% of 100 is 50

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Answer:

n\(\geq\)6

Step-by-step explanation:

Answer:

n ≥ 6

Step-by-step explanation:

\(n-9\geq -3\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\\\n-9+9\ge \:-3+9\\\\Simplify\\\\n\ge \:6\)

The probability of drawing a jack or a queen or a heart from a standard 52-card deck is 1/4.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

There are a total of 52 cards in a standard playing deck, and there are 4 jacks, 4 queens, and 13 hearts.

The probability of drawing a jack or a queen or a heart is equal to the sum of the probabilities of drawing each individual card type.

So, the desired probability is:

P(jack or queen or heart) = P(jack) + P(queen) + P(heart)

= 4/52 + 4/52 + 13/52

= 21/52

= 1/4

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The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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The measure of angle 1 is 71° ⇒ c

Step-by-step explanation:

Look to the attached figure:

∵ Line l intersect line n

∴ Angle 63° and angle (15x - 3) are linear pair

- The sum of the linear pair angles is 180°

∵ 63° + (15x - 3)° = 180°

- Add like terms

∴ 60 + 15x = 180

- Subtract 60 from both sides

∴ 15x = 120

- Divide both sides by 15

∴ x = 8

∵ Line m intersect line n

∴ Angle (8x + 7) and angle 1 are vertical opposite angles

- The vertical opposite angles are equal in measure

∴ m∠1 = 8x + 7

∵ x = 8

- Substitute the value of x to find m∠1

∴ m∠1 = 8(8) + 7

∴ m∠1 = 64 + 7

∴ m∠1 = 71

The measure of angle 1 is 71°

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Answer:

\(x + y = 150\)

\(2x + y = 250\)

Answer:

(-4,-1)

All you have to do to find it is subtract x by 5 and subtract y by 5. :)

When \(x\) approaches infinity, the function's graph moves closer to the x-axis and horizontal equilibrium point at \(y = 3\). For \(x -2\), which is denoted by such an open ring at \((-2, 3)\) on the graph, the function is undefined.

A graphs is a pictorial display or diagram that displays facts or numbers in an organized way in math. The relationships between multiple things are frequently represented by the points on a graph.

The graph is a mathematics structure made up of a collection of points Coordinates and a set of lines connecting some pairs of VERTICES that may or may not be empty. There is a chance that the edges will be directed, or orientated.

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Answer:

About 71.5 percent

Step-by-step explanation:

Hope this helps! If you have any questions please comment.

Answer:

p^2-4p-21=0

Step-by-step explanation:

Where you see (x^2 + 6) you put in p.

p 2  - 21 = 4 ( x 2 + 6 )

p 2 - 21 = 4p

p 2 - 4p - 21 = 0

:)

Answer:

i think its 700 hope it help

Step-by-step explanation:

the answer would be

70 times

A, B and C can finish a piece of Work in 60, 80 and 120 days respectively. Three of them started the work together but B left the work after 20 days and A left 6 days before it's completion. The work might have been finished in 33.33 days.

To find the number of days it would take to complete the work if C completes the remaining portion, we need to calculate the individual rates at which A, B, and C work.

Let's denote the work rate of A, B, and C as R(A), R(B), and R(C), respectively. The work rates can be calculated by dividing the amount of work each person can complete in a day by the number of days they take to finish the entire work.

R(A) = 1/60 (A can finish the work in 60 days)

R(B) = 1/80 (B can finish the work in 80 days)

R(C) = 1/120 (C can finish the work in 120 days)

When A, B, and C work together for 20 days, the amount of work done by them is equal to the sum of their individual work rates multiplied by the number of days they worked together.

Work done by A, B, and C together in 20 days = (R(A) + R(B) + R(C)) * 20

After 20 days, B leaves the work, so only A and C continue working. The total work remaining at this point is equal to the work that would have been completed by B in (80 - 20) = 60 days.

Now, the remaining work is completed by A and C. A leaves 6 days before the completion of the work. Therefore, the total number of days A and C work together is (60 - 6) = 54 days.

The remaining work is completed by C alone in 54 days.

To find the work rate of A and C working together, we subtract the work rate of B (as B has left) from the total work rate of A, B, and C working together.

Work rate of A and C working together = (R(A) + R(C)) - R(B)

Now, using the work rate of A and C working together, we can calculate the number of days it would take for C to complete the remaining work.

Number of days for C to complete the remaining work = (Remaining work) / (Work rate of A and C working together)

Remaining work = Work that would have been completed by B in 60 days

Substituting the values:

Remaining work = R(B) * 60

Number of days for C to complete the remaining work = (R(B) * 60) / (R(A) + R(C) - R(B))

Calculating the values:

Remaining work = (1/80) * 60 = 0.75

Number of days for C to complete the remaining work = (0.75) / ((1/60) + (1/120) - (1/80)) = 33.33 days

Therefore, the work might have been finished in approximately 33.33 days if C completes the remaining portion.

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The probable question could be:

A, B and C can finish a piece of Work in 60, 80 and 120 days respectively. Three of them started the work together but B left the work after 20 days and A left 6 days before it's completion. if c compeletes the remaining work, find с in how Many days the work might have been finished​?

Answer:

y<5/3 I believe. sorry if I am wrong!

(a) The sequence formed by the given numbers is: 40, 24, 56, 16, 36, 72, 8, 48, 32.

(b) The sum of the given arithmetic series is 324.

Based on the given table, we can observe the following pattern:

Using these patterns, we can fill in the missing entry in the second row as follows:

So, the completed table looks like this:

40 | 24 | 56 |

16 | 36 | 72 |

8 | 48 | 32 |

The sum of the series is calculated as;

S = n/2(a + l)

Using this formula, we can find the sum of the given arithmetic series. Since there are 9 terms in the series, and the first term is 40, and the last term is 32, we have:

S = 9/2 x (40 + 32)

S = 9/2 x 72

S = 324

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After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Sarah's fuel efficiency is approximately 36.35 miles per gallon.

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

Distance = 715.5 km

Fuel = 46.3 liters

Convert the units to miles and gallon

So, we have the following representation

Distance = 444.59109 miles

Fuel = 12.23117 gallons

Divide the number of kilometers by the number of litres consumed to get the fuel efficiency

So, we have

Fuel efficiency = 444.59109/12.23117

Evaluate

Fuel efficiency = 36.35

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A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.

We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.

So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.

Remember that the mixed numbers can be rewritten as:

2½  = 2 + 1/2

1⁷/₈ = 1  + 7/8

So we need to find the difference:

(2 + 1/2) - (1 + 7/8) = ( 2  - 1) + (1/2 - 7/8)

= 1 + (4/8 - 7/8) = 1 - 3/8

Now we can simplify this so we get a single fraction:

1 - 3/8 = 8/8 - 3/8 = 5/8

From this, we can conclude that the distance left is 5/8 of a mile.

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Answer:

B

Step-by-step explanation:

325/5= 65

2 numbers are over 65

Step-by-step explanation:

Part a

P(x) = 0

150x - x^2 = 0

x(150-x)

x=0,150

Laura should sell 150 pies in order to "break-even" on her sales.

Part b

Because the maximum profit occurs at the vertex of the function,

x = -b/2a = -150/-2 = 75

P(75) = 150 * 75 - 75^2 = 5625

Laura maximizes her profit to $5625 when she sells exactly 75 pies.

The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

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Answer:

Step-by-step explanation:

Area is the function of two dimensions.

If each dimension is increased 3 times then the area will increase:

Correct choice is D

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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