Simplify. 12/28. Please help due tomorrow!

Answer: 74

Step-by-step explanation:

Friday reads 1/7
Saturday Reads 2/7
Sunday reads 4/7

126 pages / 7 parts of reading = 18
18 pages x 4 parts read on Sunday = 74 pages read Sunday by Bernie.
Hope this helps!

Answer:

83

Step-by-step explanation:

The pattern is -4 then +2

Answer:

Rectangle

Step-by-step explanation:

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.

The formula for the volume of a sphere of radius "r" is:

V = (4/3)πr³

Substituting the specified radius value (r = 11 cm), we get:

V = (4/3)π(11)³ \sV = 5575.279 cm³

Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:

Density = Volume Weight

Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3

When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:

The weight is 25.121811974 kg.

As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

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Answer:

0.25 g/mL

Step-by-step explanation:

d=m/v

6 g / 24 mL

0.25 g/mL

both (g) and mL were only used once so the answer includes both of them

Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

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Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

The number of adults tickets sold was 894 and the number of children tickets sold was 335

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

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Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

\( l = 11 + w\)

We know that, the area of rectangle, A = length * width

\( A = l*w\)

Substituting the values into the equation, we have;

\( 80 = (11 + w)w\)

Expanding the bracket, we have;

\( 80 = 11w + w^{2}\)

\( w^{2} + 11w - 80 = 0\)

*Solving the quadratic equation by using factorization method*

\( w^{2} + 16w - 5w - 80 = 0\)

\( w(w + 16) - 5(w + 16) = 0\)

\( (w - 5)(w + 16) = 0 \)

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

\( l = 11 + w\)

When w = 5 feet

\( l = 11 + 5\)

Length, l = 16 feet

When w = - 16 feet

\( l = 11 + (-16)\)

\( l = 11 - 16\)

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer: Area = l × w

= 3.5 × 2.8

= 9.8 meters2

Step-by-step explanation:

Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

The answer is the Division on the top The multiplication then -14

Step-by-step explanation: I hope this will help you

The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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Answer:

d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since their sum is less the sign will be: sum < $191

This eliminates A and D

It's not C because their money is additive, not subtractive

So it's B, $93+x < $191

Answer: 8.5

Step-by-step explanation:

By the intersecting chords theorem,

\(17(12)=24x\\204=24x\\x=\boxed{8.5}\)

Answer:

Annual deposit= $3,474.39

Explanation:

Giving the following information:

You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39

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The price of 1 hamburger is $4.6 and 1 fish sandwich is $5.2

Let 1 hamburger be x

Let 1 fish sandwich be y

Thus, we have:

3x + 2y= 24.20...... eq 1

4x + y= 23.60........ eq 2

Let's use the substitution method here:

Make y the subject formula in eq 2

y= 23.60 - 4x......... eq 3

Put the value of y into eq 1

3x + 2(23.60 - 4x) = 24.20

3x + 47.2 - 8x = 24.20

-5x + 47.2 = 24.20

Exchange values to eliminate the negative symbol

5x = 47.2- 24.20

5x= 23

x= 4.6

Put the value of x into eq 3

23.60- 4(4.6)

y= 23.60-18.4

y= $5.2

Therefore, the price of 1 hamburger is $4.6 and 1 fish sandwich is $5.2

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The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

Let's set up a coordinate system with the origin at sea level beneath Denver.

We'll use the x-axis to point east, the y-axis to point north, and the z-axis to point upward.

The plane starts directly above Denver at an altitude of 1650 meters.

We can represent this as the initial point P₀(0, 0, 1650).

The plane then flies to Bismark, which is about 850 km in the direction 60° north of east from Denver.

Let's represent the position of Bismark as the point P₁(x, y, z), where x and y are the horizontal displacements (east and north, respectively), and z is the altitude above sea level.

Since the plane flies at a constant height of 7500 meters above the line joining Denver and Bismark, the altitude z remains constant at 7500 meters.

Let's calculate the horizontal displacements x and y:

The eastward displacement x can be found using the cosine of the angle (60°) and the distance to Bismark (850 km):

x = 850 km * cos(60°) ≈ 425 km

The northward displacement y can be found using the sine of the angle (60°) and the distance to Bismark (850 km):

y = 850 km * sin(60°) ≈ 736.6 km

Now, we can write the parametric equations for the plane's motion:

x(t) = x₀ + (x₁ - x₀) * t

y(t) = y₀ + (y₁ - y₀) * t

z(t) = z

where:

x₀ = 0 (initial x-coordinate at Denver)

y₀ = 0 (initial y-coordinate at Denver)

z = 1650 meters (altitude above sea level at Denver)

x₁ = 425 km (x-coordinate at Bismark)

y₁ = 736.6 km (y-coordinate at Bismark)

The parameter t represents the time in hours.

The plane's motion is constant, so t will vary from 0 to the time it takes to travel from Denver to Bismark at a speed of 625 km/hour.

To find the time it takes, we can use the distance formula:

Distance = Speed * Time

850 km = 625 km/hour * Time

Time = 850 km / 625 km/hour ≈ 1.36 hours

A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters).

It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver.

Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.

So, the time it takes for the plane to travel from Denver to Bismark is approximately 1.36 hours.

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

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The triangles below are congruent, with △ABC ≅ △DEF. The value of the x is 4.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.

Given that The triangles below are congruent, with △ABC ≅ △DEF. The following lengths are given in centimeters:

AB= x + 1, AC= x, BC= x + 2, and DF= 3x − 8.

Thus, we know that AC = DF

Substitute:

x = 3x-8

Now Combine like terms:

x - 3x = -8

-2x = -8

Then Divide both equations by -2.

x = 4

Hence, The value of the x is 4.

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Complete question:

The triangles below are congruent, with △ABC ≅ △DEF. The following lengths are given in centimeters: AB= x + 1, AC= x, BC= x + 2, and DF= 3x − 8. What is the value of x?

The regular price of an item is $65

Lena bought it on sale for 60% off the regular price.

Then it means that she paid only (100% - 60% = 40%) of the price.

Let us find the 40% of $65

Therefore, Lena paid only $26 for the item.

Answer:

b + 32 = 76

Step-by-step explanation:

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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   Actual length of the pole and the length of the shadow cast by the pole follow the proportional relationship.

Following this rule, 20 feet tall flagpole will cast 3.33 feet shadow.

  If the length of the shadow = x feet

Proportional relationship will be defined by the expression,

\(\frac{\text{Actual height}}{\text{Length of the shadow}}\rightarrow \frac{6}{1}= \frac{20}{x}\)

\(6x=20\)

\(x=\frac{20}{6}\)

\(x=3.33\) feet

   Therefore, length of the shadow cast by flagpole will be 3.33 feet.

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Answer:

Y(0,13)

X(13,0)

answer is b > 5

Step-by-step explanation: