The area of a rectangle is 99 ft^2, and the length of the rectangle is 7 more than double the width. Find the dimensions of the rectangle.

Answer:

x=-10/23

Step-by-step explanation:

-23x=10

x=10/-23

x=-10/23

Answer:

x = -15 thus c: is your answer

Step-by-step explanation:

Solve for x:

10 = (-2 x)/3

10 = (-2 x)/3 is equivalent to (-2 x)/3 = 10:

(-2 x)/3 = 10

Multiply both sides of (-2 x)/3 = 10 by -3/2:

(-3 (-2) x)/(2×3) = (-3)/2×10

(-3)/2×(-2)/3 = (-3 (-2))/(2×3):

(-3 (-2))/(2×3) x = (-3)/2×10

(-3)/2×10 = (-3×10)/2:

(-3 (-2) x)/(2×3) = (-3×10)/2

(-3)/3 = (3 (-1))/3 = -1:

(-2-1 x)/2 = (-3×10)/2

(-2)/2 = (2 (-1))/2 = -1:

--1 x = (-3×10)/2

(-1)^2 = 1:

x = (-3×10)/2

10/2 = (2×5)/2 = 5:

x = -35

-3×5 = -15:

Answer:  x = -15

Final answer:

The perimeter of the isosceles triangle with a base of 20 meters and height of 24 meters is 60 meters.

Explanation:

The formula for the area of a triangle is 1/2 × base × height.

In this case, the base of the isosceles triangle is given as 20 meters and the corresponding height is given as 24 meters.

Answer:

The corresponding answers to the questions are  9.625 cm² , 459, 304.5m², 1 : 3 , 3:4 , 10,000 pounds , 36 inches.

Step-by-step explanation:

1.

Area of triangle = 0.5 x base length x height

Here base length = 5.5cm and height = 3.5cm

So area will be 0.5 x 5.5 x 3.5 cm² = 9.625 cm²

2.

919/2 rounding off to nearest whole

We know that the value of 919/2 = 459.5 .

So the nearest whole number value to which it can be rounded off is 459.

3.

We know that area of parallelogram is base length x height

Here, base length =14.5m and height = 21m

So area = 14.5 x 21 m² = 304.5m²

4.

No. of grilled cheese sandwiches sold = 200

No. of tacos sold                                     = 100

No. of grilled chicken salads sold          = 150

Total lunches sold                                   = 200 + 100 + 150 = 450

So, ratio of chicken salads to lunches sold is 150 : 450 = 1 : 3

5.

Given number : 7,208,631

Odd digits here - 7,3,1 - 3 digits

Even digits here - 2,0,8,6 - 4 digits

So, ratio of odd digits to even digits is 3:4

6.

One ton = 2000 pounds

So 5 tons = 5 x ( 1 ton) = 5 x 2000 pounds = 10,000 pounds

7.

Table length = 3 feet

We know that 1 foot = 12 inches

So table length = 3 foot = 3 X 12 inches = 36 inches

A, D & E

Cells store energy in the form ATPs. These molecules power al the biochemical activities that would not occur spontaneously. Examples of these bioactivities are the contraction of actin filaments, glycolysis cycle, replication of DNA, cell division, gene expression, cell repair and etcetera.

Step-by-step explanation:

All ATPs are not spent at the same time, and futhermore, they are constantly replaced by the continuous process of cellular respiration that captures the chemical energy in the glucose molecules and stores them in ATP. During the release of this energy to power the biochemical reactions, much of it is lost as heat energy and this is why living organisms are always warm.

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Answer: The multiple choice answers would be, A, D, and E.

Step-by-step explanation:

Answer:

[tex]x=30\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LOM+m∠MON=m∠LON ----> by angle addition postulate

we have

m∠LOM=2x°

m∠MON=x°

m∠LON=90° ----> is a right angle

substitute the values

[tex]2x+x=90[/tex]

solve for x

[tex]3x=90[/tex]

[tex]x=30\°[/tex]

Answer:

0.3 > 0.09

Step-by-step explanation:

The comparison 0.3 > 0.09 is true.

0.3 = 0.300

0.300 > 0.009

All other options are false. They should have a less than sign instead of a greater than sign.

Final answer:

Upon comparison of decimal values in the given options, Option A (0.3 > 0.09) is the true comparison as 0.3 is greater than 0.09 when comparing the tenths place.

Explanation:

When comparing decimal numbers, you should look at the largest place value first and work your way to smaller place values to determine which number is larger. Let's evaluate each option:

A. 0.3 > 0.09: Comparing the tenths place, 3 is greater than 0. Therefore, this statement is true.

B. 0.04 > 0.2: Comparing the tenths place, 0 is less than 2. Therefore, this statement is false.

C. 0.29 > 0.38: Comparing the tenths place, both numbers are equal, but in the hundredths place, 9 is less than 8. Therefore, this statement is false.

D. 0.24 > 0.67: Comparing the tenths place, 2 is less than 6. Therefore, this statement is false.

E. 0.55 > 0.600: Comparing the tenths place, both numbers are equal, and in the hundredths place, 5 is equal to 0 followed by an additional 0, thus both numbers are equal and this statement is false.

Based on the above analysis, the correct answer is Option A. 0.3 > 0.09.

Answer:

-3

Step-by-step explanation:

2(x+-3)=1/2x

2x+6=1/2x

6=-1/2x

x=-3

Answer:

-3 is the write answer

Step-by-step explanation:

2(x+3)=1/2x

2x+6=1/2x

6=-1/2x

x=-3

Answer:

(b) The number of pounds of berries each person would receive is [tex]1\frac{5}{8}[/tex]pounds.

Step-by-step explanation:

The amount of berries in first basket = 3 3/8 pounds

Now, [tex]3\frac{3}{8}  = 3+\frac{3}{8} = 3 + 0.375 = 3.375[/tex]

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now, [tex]2\frac{7}{8}  = 2+\frac{7}{8} = 2 + 0.875 = 2.875[/tex]

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second)  basket

                                      = 3.375 pounds +  2.875 pounds  

                                    = 6.25 pounds

So, the number of pounds each person would have = [tex]\frac{\textrm{Total weight of viable berries}}{\textrm{4}}  = \frac{6.25}{4} = 1.5625[/tex]

Now, [tex]1.5625 = 1 + 0.5625  = 1 + \frac{5625}{10000}  = 1 + \frac{5}{8}  = 1\frac{5}{8}[/tex]

So, the number of pounds of berries each person would receive is [tex]1\frac{5}{8}[/tex]pounds.

Answer: 204 teddy bears

Step-by-step explanation:

Answer:

17 x 12 = 204 teddy bears

Step-by-step explanation:

17 cases, 12 bears in each case

You could round 17 --> 20

You could round 12 --> 10

20×10=200

Answer: perpendicular

Step-by-step explanation:

Final answer:

The slopes of the two lines given by the equations 3x-6y=2 and 18x+9y=8 are 1/2 and -2 respectively. Since these slopes are neither equal nor negative reciprocals, the lines are neither parallel nor perpendicular.

Explanation:

To decide whether the pair of lines is parallel, perpendicular, or neither, we need to find the slopes of the lines. The lines are given by the equations 3x-6y=2 and 18x+9y=8. To find the slope of each line, we must rewrite the equations in slope-intercept form (y=mx+b), where m represents the slope

For the first line, 3x-6y=2, we isolate y:

So the slope of the first line is 1/2.

For the second line, 18x+9y=8, we isolate y:

The slope of the second line is -2.

Since the slopes of the two lines are not equal and not negative reciprocals of each other, the lines are neither parallel nor perpendicular.

The width of a rectangular farm with area of 1/2 square mile and length of 1/3 mile is 1 1/2 miles.

The area of a rectangle is found by multiplying length times width. In this case, we know that the area is 1/2 square mile and the length is 1/3 mile.

So the width of the farm is 1 1/2 miles.

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Answer:

Step-by-step explanation:

[tex]3x+2=x+4(x+2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\3x+2=x+(4)(x)+(4)(2)\\\\3x+2=x+4x+8\qquad\text{combine like terms}\\\\3x+2=(x+4x)+8\\\\3x+2=5x+8\qquad\text{subtract 2 from both sides}\\\\3x+2-2=5x+8-2\\\\3x=5x+6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\3x-5x=5x-5x+6\\\\-2x=6\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{6}{-2}\\\\x=-3[/tex]

Answer:

y-6=-3/4(x+4)

Step-by-step explanation:

y-y1=m(x-x1)

m=-3/4

y-6=-3/4(x-(-4))

y-6=-3/4(x+4)

9514 1404 393

Answer:

  (x, y) = (43/53, 18/53)

Step-by-step explanation:

If we want to eliminate the x-terms, we multiply the first equation by 7 (opposite of the x-coefficient in the second equation), and we multiply the second equation by 5 (x-coefficient in the first equation). Then we add the result.

  7(5x -9y) +5(-7x +2y) = 7(1) +5(-5)

  35x -63y -35x +10y = 7 -25

  -53y = -18 . . . . simplify. Note the x-terms are gone.

  y = 18/53 . . . . . divide by -53

__

Putting this value of y in the first equation, we get ...

  5x -9(18/53) = 1

  5x = 1 + 162/53 = 215/53 . . . . . add 9y to both sides, simplify

  x = 43/53 . . . . . . . . . . divide by 5

The solution is (x, y) = (43/53, 18/53).

Answer:

A) The smaller angle between 12 and 3 is 90°  and that is [tex]\frac{1}{4}[/tex]th coordinate

B) The smaller angle between 2 and 3 is 30°  

C) The angle between 4 and 6 is 60°

D) the angle between 6  and 9 is 90°  

D) The angle between 6 and 12 is 180°

E) The angle between 7 and 8 is 30°    

Step-by-step explanation:

Given as :

It is shown in diagram as ;

The circle with different angles from angle 1 to angle 12

Now, The figure is the complete circle, and the measure of all angles in a circle = 360°

The measure of semicircle = 180°

and each quadrant is divided in to 3 angles

Each right angle is further divided into three 30° angles  

Again ,

A) The smaller angle between 12 and 3 is 90°  and that is [tex]\frac{1}{4}[/tex]th coordinate

B) The smaller angle between 2 and 3 is 30°  

C) The angle between 4 and 6 is 60°

D) the angle between 6  and 9 is 90°  

D) The angle between 6 and 12 is 180°

E) The angle between 7 and 8 is 30°    Answer

The number is 7

Step-by-step explanation:

Let x be the number

then according to given statement

[tex]2(x+2) = 5x-17[/tex]

Simplifying

[tex]2x+4 = 5x-17[/tex]

Adding 17 on both sides

[tex]2x+4+17 = 5x-17+17\\2x+21 = 5x[/tex]

Subtracting 2x from both sides

[tex]2x+21-2x = 5x - 2x\\21 = 3x\\3x = 21[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} = \frac{21}{3}\\x = 7[/tex]

Hence,

The number is 7

Keywords: Linear equation, variables

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Answer:

no solution

Step-by-step explanation:

well first you gotta distribute

-5(-3 - w) + 4 = -5/6(24 - 6w)

15 + 5w + 4 = -20 + 5w

19 + 5w = -20 + 5w

+20           +20

39 + 5w = 5w

      -5w    -5w

39 ≠ 0

therefore there is no solution (which is the answer)

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}4x=-3y-10&\text{add}\ 3y\ \text{to both sides}\\9x+2y=6\end{array}\right\\\\\left\{\begin{array}{ccc}4x+3y=-10&\text{multiply both sides by 2}\\9x+2y=6&\text{multiply both sides by (-3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+6y=-20\\-27x-6y=-18\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-19x=-38\qquad\text{divide both sides by (-19)}\\.\qquad\dfrac{-19x}{-19}=\dfrac{-38}{-19}\\.\qquad \boxed{x=2}[/tex]

[tex]\text{Put the value of}\ x\ \text{to the second equation:}\\\\9(2)+2y=6\\18+2y=6\qquad\text{subtract 18 from both sides}\\2y=-12\qquad\text{divide both sides by 2}\\\dfrac{2y}{2}=\dfrac{-12}{2}\\\boxed{y=-6}[/tex]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points that belong to the AB line:

[tex](x_ {1}, y_ {1}) :( 2,1)\\(x_ {2}, y_ {2}): (- 1, -8)[/tex]

We can find the slope:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-8-1} {- 1-2} = \frac {-9} {- 3} = 3[/tex]

By definition, if two lines are parallel then their slopes are equal. Thus, a line parallel to AB will have slope [tex]m = 3[/tex], then the equation will be of the form:

[tex]y = 3x + b[/tex]

We substitute the given point and find b:

[tex](x, y) :( 0,2)\\2 = 3 (0) + b\\2 = b[/tex]

Finally, the equation is:

[tex]y = 3x + 2[/tex]

Answer:

[tex]y = 3x + 2[/tex]

Answer:

0.2

Step-by-step explanation:

Absolute values are positive version of any number. So the absolute value of both 0.2 and -0.2 would be 0.2

Answer:

The answer is 19 feet or B.

Step-by-step explanation:

First you should know that a square has equal sides.

Then it tells you to add 5 feet on the original field. So you add 5 to 19 and you get 24. After that, you multiply the 24 by itself to get 576 feet.

The volume of the silo is 461.81 m³

Step-by-step explanation:

A barn silo, excluding the top, is a cylinder

We need to find the volume of the silo

∵ The silo is shaped a cylinder

∵ The volume of a cylinder = base area × height

∵ The base is shaped a circle

∵ Area a circle = π r², where r is the radius of the circle

∴ The volume of the silo = π r² × h

∵ The diameter of the silo = 7 m

∵ The radius of a circle is half the diameter

∴ The radius of the silo = [tex]\frac{1}{2}[/tex] × 7 = 3.5 m

∵ The height of the silo = 12 m

- Substitute the values of r and h in the rule of volume

∴ The volume of the silo = π (3.5)² × 12

∴ The volume of the silo = 147 π = 461.81 m³

The volume of the silo is 461.81 m³

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Final answer:

The volume of a barn silo that is shaped like a cylinder with a diameter of 7 meters and a height of 12 meters is approximately 461.7 cubic meters.

Explanation:

To calculate the volume of the silo which is in the shape of a cylinder, we use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. The diameter of the silo is given as 7 meters, so the radius is half of that, which is 3.5 meters. The height of the silo is 12 meters. Plugging these values into the formula gives:

V = π × (3.5 m)² × 12 m

V = π × 12.25 m² × 12 m

V = π × 147 m³

Assuming π to be approximately 3.14159, the calculation results in:

V = 3.14159 × 147 m³ = 461.7 m³ (approx)

So, the volume of the silo is approximately 461.7 cubic meters.

Answer:

There were 120 events planned.

Step-by-step explanation:

We are given the following information in the question:

f(x) represents the total monthly expenses for planning x events.

[tex]f(x) = 50(2x+1) + 300[/tex]

Cost of expenses for the company at the end of one month = $12,350

We have to find the number of events planned that is we have to find the value of x.

[tex]f(x) = 50(2x+1) + 300 = 12350\\50(2x+1) + 300 = 12350\\100x + 50 + 300 = 12350\\100x + 350 = 12350\\100x = 12350-350\\100x = 12000\\\\x = \displaystyle\frac{12000}{100} =120[/tex]

Thus, there were 120 events planned.

Answer:

120

Step-by-step explanation:

i actually did just guess on that answer i didnt know what to put

Answer:

44°

Step-by-step explanation:

The sum of the angles in a triangle = 180°

In an isosceles triangle the base angles are equal, thus

base angle = [tex]\frac{180-92}{2}[/tex] = [tex]\frac{88}{2}[/tex] = 44°

Final answer:

To find the radius of the circular trampoline, we can use the formula for the area of a circle and rearrange it to solve for the radius. The radius of the trampoline is approximately 6.5 ft (rounded to the nearest tenth).

Explanation:

To find the radius of the circular trampoline, we can use the formula for the area of a circle, which is A = πr². In this case, the area is given as 132.2 ft². We can rearrange the formula to solve for the radius:

r² = A/π

r² = 132.2/π

r ≈ √(132.2/π)

r ≈ √(42)

r ≈ 6.5 ft (rounded to the nearest tenth)

Final answer:

To find the radius of the trampoline, we use the formula for the area of a circle and rearrange it to solve for the radius. After substituting the given area and approximating π as 3.14, we find that the radius is approximately 6.5 ft when rounded to the nearest tenth.

Explanation:

The area of a circle is given by the formula A = πr², where A is the area and r is the radius of the circle. Given the area of the trampoline as 132.2 ft², we can solve for the radius using the area formula. We rearrange the formula to solve for the radius: r = √(A/π).

Substituting the given area and the approximate value for π (3.14), we get r = √(132.2/3.14). This simplifies to r = √(42.085...), which is approximately r = 6.487 ft. Rounding to the nearest tenth gives us a radius of 6.5 ft.

Answer:

D. pyramid (not including the vertex)

E. prism

Step-by-step explanation:

D and E are the answers to this question.

D. pyramid (not including the vertex)

E. prism

Answer:

If you were asking how many miles in total: 290 miles.

If you were asking how many miles in the 2 hours: 122 miles

Step-by-step explanation:

In the first 168 miles,

[tex]Since \\v_1=168miles/3h=56 miles/h\\\\Thus  \\v_2=v_1+5=56+5=61miles/h\\\\X_1=168miles\\X_2=v_2*2h=61*2=122miles\\X_1+X_2=168+122=290miles\\\\[/tex]

(3, - 4)

Imagine a rectangle with one corner on the origin and the opposite on the point. Rotate the rectangle about the origin and see where the point lands.

To find the new coordinates of point B after a 90° clockwise rotation around the origin, you apply the rotation rule: (x, y) becomes (y, -x). The original coordinates are needed to calculate the exact new position of point B.

The student is asking about the result of a 90° clockwise rotation of a point around the origin in the Cartesian coordinate system. To find the new coordinates of point B after the rotation, we use the rule for 90° clockwise rotation, which is (x, y) becomes (y, -x). If the original coordinates of point B are (x₂, y₂), the new coordinates after the rotation will be (y₂, -x₂).

Without knowing the original coordinates of point B, we cannot give the exact new coordinates. However, if the student provides the initial coordinates, the new coordinates can be calculated using the rotation rule mentioned.

Final answer:

The correct statement must be that the slope of the equation is the cost per round of $33.47, and the y-intercept is the initial membership fee of $17.72, since the slope represents the additional cost per round and the y-intercept the initial cost at zero rounds.

Explanation:

In the function T = 33.47r + 17.72, which represents the total cost T of playing miniature golf as a function of the number of rounds played r, the coefficient of r represents the slope and the constant term is the y-intercept. The slope indicates the additional cost for each additional round of golf played, while the y-intercept represents the initial cost when no rounds are played, which can be interpreted as the membership fee. Therefore, the correct statement about the cost structure of the Cape Gerbil City Miniature Golf Club is A: The slope is the cost per round $33.47, and the y-intercept is the membership fee of $17.72.