five times a number is at most 15 what are the possible values for the number

Answer:

Let's assume that the cost of each box of cookies is "x" dollars.

Based on the given information, Gail sold a total of 3 + 4 + 1 = 8 boxes of cookies this week, and Mr. Millbrook gave a $7 donation. Therefore, the total amount of money collected this week is:

8x + 7

Since we know that Gail sold 10 boxes of cookies last week and collected the same amount of money, we can set up an equation:

10x = 8x + 7

Solving for x, we get:

2x = 7

x = 3.50

Therefore, each box of Girl Scout cookies costs $3.50.

Step-by-step explanation:

Answer:

x=8 is true for the this condition

Step-by-step explanation:

4x<34

if x=8

4*8<34

32<34

which is true

if x=10

40 is not greater than 34, so it not satisfied the condition

The required probability of Mr. Mackinson choosing the names of 2 girls is approximately 0.2273.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The total number of ways to choose any 2 students from a group of 12 is given by the combination formula:

C(12,2) = 12! / (2! * 10!) = 66

This means there are 66 total ways for Mr. Mackinson to choose any 2 students from the class.

To calculate the probability of choosing 2 girls, we need to count the number of ways to choose 2 girls from the group of 6 girls. We can use the combination formula again:

C(6,2) = 6! / (2! * 4!) = 15

This means there are 15 ways for Mr. Mackinson to choose any 2 girls from the class.

So the probability of Mr. Mackinson choosing 2 girls is:

P(2 girls) = number of ways to choose 2 girls / total number of ways to choose 2 students

= C(6,2) / C(12,2)

= 15 / 66

= 0.2273

Therefore, the probability of Mr. Mackinson choosing the names of 2 girls is approximately 0.2273.

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Answer:

Fraction 3/4 percent 75%

Step-by-step explanation:

.75 in simplest form is 3/4

The linear function representing the depth of the submarine after t seconds is given as follows:

d(t) = -15 - 0.5t.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

Hence the function is given as follows:

d(t) = -15 - 0.5t.

The problem asks for the linear function representing the depth of the submarine after t seconds.

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The monthly revenue of the business grows by 8%, monthly.

The definition of revenue?

The total income a firm receives from the sale of products or services that are connected to its core business operations is referred to as revenue.

                           Since it appears at the top of the income statement, revenue, also known as gross sales, is frequently referred to as the "top line." An organization's whole earnings or profit is known as income, or net income.

An exponential function is represented as

   y = abˣ

From the  table we have the following ordered pair

(x,y) = {(0,72000) (3,90000)}

So, we have

   90000 = 72000 * b³

     Divide both sides by 72000

      b³  = 1.25

Take the cube roots of both sides

   b = ∛1.25

    b = 1.08

Recall that

b = 1 +r

  1 + r = 1.08

  r = 0.08

  r = 8%

Hence, the monthly revenue of the business grows by 8%, monthly.

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The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ 2(a  -3) + 4a

Simplify the expression, then we have

⇒ 2(a  -3) + 4a

⇒ 2a - 6 + 4a

⇒ 6a - 6

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

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The missing options are given below.

A. 6a - 6

B. 6a - 1

C. a - 6

D. None of the above

Answer:

Step-by-step explanation:

is this in deltamath or bigideas? lol

(31.19-1.67)/24=x

"/" means divide.

Factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique or quadratic formula.

Factoring a polynomial with a leading coefficient greater than 1 can be more challenging than factoring a polynomial with a leading coefficient of 1. However, there are several methods and techniques that can be used to factor such polynomials.

One common method for factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique. This involves grouping the terms of the polynomial in pairs and factoring out the greatest common factor of each pair.

The resulting expressions can then be further factored or combined to obtain the final factorization of the polynomial.

Another method for factoring polynomials with a leading coefficient greater than 1 is to use the quadratic formula, which can be used to find the roots of a quadratic polynomial. Once the roots are found, the polynomial can be factored as a product of linear factors.

In some cases, it may also be helpful to use a combination of these techniques, along with other algebraic manipulations, such as completing the square or long division.

Overall, factoring a polynomial with a leading coefficient greater than 1 may require more patience and creativity than factoring a polynomial with a leading coefficient of 1, but with practice and persistence, it is possible to develop the skills and techniques needed to factor such polynomials efficiently and accurately.

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Answer:

13.0898597466511 or 13.09

Step-by-step explanation:

Answer: 0.95m or 3/π

Step-by-step explanation:

Volume of cylinder = 2π[tex]r^{2}[/tex]*h

54 = 2π*9*h

divide 2π*9 on both sides

54/2π*9 = h

54/18π = h

3/π = h

h = 0.95 m

Chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Let M be the midpoint of AB, so EM is perpendicular to AB.

Since OF is a diameter of the circle, angle EOF is a right angle.

Triangles EOF and EMA are similar, since they both have a right angle and angle EFM is congruent to angle EAM, being alternate interior angles of parallel lines.

The corresponding sides are proportional:

EF / EA = EO / EM.

EM is half the length of AB, which is the diameter of the semicircle,

EO must be equal to the radius of the semicircle.

Therefore, we have EF / EA = radius / (diameter / 2) = 2 / 2 = 1,

EF = EA.

Hence, chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF

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The solution is, The value of N is 12 sq cm.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

here, we have,

1. Find the greatest common factor of 35 and 42 to find the length (horizontal). The GCF is 7.

2. The horizontal length of the 35 and 42 sq cm is 7, and the heights are 5 and 6 respectively.

3. Moving on tot he 10 sq cm rectangle,

since the height of just that one rectangle is  and 10/5 is 2, the horizontal length is 2.

4. For n, the horizontal length is 2 and the height is 6.

2 X 6 is 12 sq cm.

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Answer:

x=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer: A and C

Step-by-step explanation:

- Geometric sequences are sequences where there is a constant number being multiplied or divided.

- In A, we are dividing by 2 each time. In C, we are multiplying by 3

each time.

- B is not multiplication or division. Neither is D.

(っ◔◡◔)っ ♥

Hope this helps.

MM4343

3. The amount that should be returned to Meenaski for buying 12 books worth R250.75 each and giving the shopkeeper R4,000, using mathematical operations, is R991.

4. The number of crayon sets that can be bought for R2,750 if one set costs R25, using division operation, is 110.

5. Manu will pay R1,700, exchanging his old bike for a new bike.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

These mathematical operations are performed to solve algebraic problems using the relevant mathematical operands and rules.

The number of books bought = 12

The unit cost of each book = R250.75

The total cost of the 12 books = R3,009 (R250.75 x 12)

The amount advanced to the cashier = R4,000

The balance to be returned = R991 (R4,000 - R3,009)

The cost of a set of crayon = R25

The amount of money for the purchase = R2,750

The number of crayon sets that can be bought with R2,750 = 110 (R2,750/R25).

The price of the new bicycle = R2,500

The value of the old bike for exchange = R800

The amount to be paid = R1,700 (R2,500 - R800)

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The price of the new bicycle is R2,500. The bike on exchange is worth R800.  How much does he pay for his new bike?

m∠1 = m∠5, because alternate exterior angles are congruent.

Angles formed by intersecting two parallel lines with a transversal are known as angles in parallel lines.

Given:

lines a and b intersect a transversal, c.

The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.

m∠1 = m∠5 (Alternate exterior angles are congruent)

m∠1 = m∠5, because alternate exterior angles are congruent.

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The Complete Question is attached below.

Answer:

heyyyyy

Step-by-step explanation:

whatssss goooddd

Natural numbers are sometimes known as counting numbers. Numbers that can be counted but not zero. Whole numbers are a modest extension of natural numbers and include Zero.

A subset of the natural numbers are the positive integers, often known as non-negative integers. Here are a few instances: 1, 2, 3, 4, 5, 6,... In other words, the "natural numbers" are the collection of all whole numbers that do not include 0.

There are just a limited amount of parts to it. Example: A = 1, 2, 3, and 4. An infinite set has unlimited items. All entire numbers are in a set called  whole numbers.

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A heavy rope, 30 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 80 ft high, the work done in pulling the rope to the top of the building is 1785 ft-lb.

To calculate the work done in pulling the rope to the top of the building, we need to use the formula:

W = F x d

where W is the work done, F is the force applied, and d is the distance over which the force is applied.

In this problem, we can calculate the force required to pull the rope as the product of its weight per unit length (0.7 lb/ft) and the length of the rope (30 ft). Thus, the force required is:

F = 0.7 lb/ft x 30 ft = 21 lb

To calculate the distance over which the force is applied, we need to calculate the total length of the rope that needs to be lifted. This can be found using the Pythagorean theorem, as follows:

l = √(30^2 + 80^2) = 85 ft

So the distance over which the force is applied is 85 ft.

Now we can substitute the values for F and d into the formula for work to get:

W = F x d = 21 lb x 85 ft = 1785 ft-lb

This calculation shows how the formula for work can be used to calculate the energy required to lift an object against gravity over a given distance.

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The transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The given functions are f(x)=x³ and g(x)= -(x-4)³+1.

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right 4 Units

Vertical Shift: Up 1 Units

Reflection about the x-axis: None

Reflection about the y-axis: Reflected

Vertical Compression or Stretch: None

Therefore, the transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

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Answer: 47.20cm

Step-by-step explanation:

Answer:

$3,000

Step-by-step explanation:

To find the predicted value of the car in 2001, we need to use the exponential decay formula:

V(t) = V0 * e^(-kt)

where V0 is the initial value of the car ($15,200), t is the time in years since 1990, and k is the exponential decay constant. We can find k using the value of the car in 1992:

V(2) = $10,000 = $15,200 * e^(-2k)

Solving for k, we get:

k = -ln(0.654) / 2

Now that we have k, we can find the value of the car in 2001:

V(11) = $15,200 * e^(-11k)

To the nearest dollar, the predicted value of the car in 2001 is $$3,000$.

Answer:

1) 16pi square cm

2) 112pi cubed cm

3) 351.68 cubed cm

Step-by-step explanation:

Question 1: The base of a cylinder is a circle. To find the area of a circle, we can use the formula A = pi(r^2). the radius is 4 centimeters. 4^2 = 16.

The answer to the question is 16pi square cm

Question 2: This question is asking for the volume of the cylinder. To find the volume of the cylinder, we must multiply the area of the base by its height. we know the area of the base is 16pi. 16pi x 7(the height) = 112 pi.

The answer to the question is 112 pi cubed cm

Question 3: If pi were to be 3.14, we just need to substitute pi in the equation for question two with 3.14:

16(3.14) x 7 = 351.68

The answer is 351.68 cubed cm

The temperature at 3 AM is about 53 degrees Fahrenheit.

The average kinetic energy of the particles in a medium, such as a gas, liquid, or solid, is measured by its temperature. It is a basic physical characteristic that governs the rate and amount of heat transmission between two bodies that are in thermal contact.

A thermometer is commonly used to measure temperature. It does this by detecting changes in a substance's physical characteristics that change with temperature, such as the expansion or contraction of a liquid or the resistance of a wire.

We are aware that a sinusoidal function models temperature, and the following information is crucial:

A high of 80 degrees is reached at 5 PM, or 17:00 in a 24-hour period.

The day's average temperature is 60 degrees.

We're looking for the temperature at three in the morning, or three in 24-hour time.

We can utilize the fact that the temperature moves through one full cycle in a 24-hour day to determine the frequency. As the time frame is 24 hours, the frequency is:

B = 2π/24 = π/12

To find the phase shift, we can use the fact that the high temperature occurs at 5 PM, which is 8 hours after noon (when the temperature starts to rise). So the phase shift is:

C = (8/24) * 2π = (1/3)π

To find the amplitude, we can use the fact that the temperature swings 10 degrees above and below the average. So the amplitude is:

A = 10

Finally, we can use the formula to find the temperature at 3 AM:

f(x) = A sin(B(x - C)) + D

f(3) = 10 sin(π/12(3 - (1/3)π)) + 60

f(3) ≈ 53.4

So the temperature at 3 AM is about 53 degrees Fahrenheit.

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The length of B'C' after the translation of the original object is; B'C' = 3 units

Translation in transformation is simply defined as the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

Now, from the attached image, we see that;

AB = 7 units

BC = 3 units

CD = 4 units

DA = 5 units

Now, by virtue of the definition of translation, it means that the translated object will retain the same dimensions. Thus;

B'C' = 3 units

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With a plane containing 40 lines, no 2 of which are parallel , here are 43 points where exactly 2 lines intersect.

In a plane that contains 40 lines, we are asked to find the number of points where exactly 2 lines intersect. Let's call this number "x".

Since every line intersects exactly 2 points, the total number of line intersections is equal to 2x. In other words, if we add up the number of intersections at each point, the total number should equal 2x.

The problem states that there are 3 points where exactly 3 lines intersect, 4 points where exactly 4 lines intersect, 5 points where exactly 5 lines intersect, and 6 points where exactly 6 lines intersect. At the same time, it states that there are no points where more than 6 lines intersect.

To calculate the total number of intersections, we need to multiply the number of lines that intersect at each point by the number of points, and then add them up. In mathematical terms:

2x = 3 * 3 + 4 * 4 + 5 * 5 + 6 * 6

Expanding the right side of the equation:

2x = 9 + 16 + 25 + 36

= 86

Dividing both sides of the equation by 2:

x = 43

So there are 43 points where exactly 2 lines intersect.

This is because at each point where exactly 2 lines intersect, the number of intersections is equal to the number of lines. In total, these 43 points account for 86 line intersections, which is half of the total number of line intersections in the plane.

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The true statements are ∠X and ∠Y are supplementary angles, ∠W and ∠Z are a linear pair and ∠Y and ∠Z are complementary angles. The solution has been obtained by using angles and line.

What are angles and line?

Lines having little depth or width are said to be straight. Lines can be perpendicular, intersecting, transversal, and many more various forms. A figure in which two rays emanate from the same point is referred to be an angle.

We know that angles on a straight line add up to 180° and such angles are called supplementary angles.

Therefore, ∠X and ∠Y are supplementary angles.

Similarly, we know that angles on a straight line form a linear pair.

Therefore, ∠W and ∠Z are a linear pair.

Also, we know that two angles are complementary when their sum is 90°.

We can see from the figure that ∠Z and ∠Y add up to 90°.

Therefore, ∠Y and ∠Z are complementary angles.

Hence, the above provided statements are true about the angles.

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The figure of the question is attached below

The approximate arc length of one slice of pic is 5.24 inches according to the circle circumference.

Let us assume that the pic is equally cut into 6 pieces. Also given that the diameter of the pie is 10 inches.

Diameter (D)=10.

So the radius will be D/2.

Radius (R)=10/2=5.

The pie's circumference is given by:

C=2πR

C=2π*5

C= 10π (in)

Because the pie is divided into six pieces, the circumference of the pie is divided into six equal-length arcs. So,

Length of Arc (L)= 10π/6

L = 5π/3

L= 5(3.14)/3

L=5.234=5.24

Therefore the approximate arc length of one slice of pie is 5.24 inches.

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