For which inequality would x = 12 be a solution?12 - x ≥ 4x + 4 ≤ 1212 x < 20012 ÷ x > 12

One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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Check the pictures attached for the answers.

Answer:

0.277(continued)

Step-by-step explanation:

The cash register contains 8 $10 bill and 20 $50 bills.

Let's denote the number of $10 bills as 'x' and the number of $50 bills as 'y'.

According to the given information, we know that the total number of bills is 28. So we can write the equation:

x + y = 28 (Equation 1)

We also know that the total amount of money in the cash register is $1,080. The value of each $10 bill is $10, and the value of each $50 bill is $50. So we can write another equation based on the total value:

10x + 50y = 1080 (Equation 2)

Now we have a system of two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of 'x' and 'y'.

Let's solve the system of equations:

Multiply Equation 1 by 10 to eliminate 'x':

10x + 10y = 280 (Equation 1 multiplied by 10)

Subtract Equation 1 multiplied by 10 from Equation 2:

(10x + 50y) - (10x + 10y) = 1080 - 28

40y = 800

Divide both sides by 40:

y = 20

Substitute the value of 'y' into Equation 1 to find 'x':

x + 20 = 28

x = 28 - 20

x = 8

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The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Answer:

Step-by-step explanation:

the answer is 0.01

The base of the exponential form  is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-4})\qquad H(\stackrel{x_2}{11}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 +5}{2}~~~ ,~~~ \cfrac{ 0 -4}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (8~~,~~-2)\)

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer:

-4

Step-by-step explanation:

3(2x+8) = 0

Distribute

6x + 24 = 0

24 = -6x + 0

24/-6  = -4

Answer:$11.5

Step-by-step explanation:

Admission = $9 charged once

each ride = $2.5x (x=number of rides)

Total cost for x rides

=2.5x+9

Answer:

Time for a round trip = 12.5 hours

Step-by-step explanation:

Mother's house = 250 miles

Total distance for the round trip = 250 + 250 = 500 miles

Given speed = 40 mph

Find time .

\(Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours\)

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

4096/531441    

is your anwer

Step-by-step explanation:

Answer:

x=8, y=4

Step-by-step explanation:

7x + 10y = 96

5(5x - 2y = 32)

7x + 10y = 96

25x - 10y = 160

32x = 256

x = 8

7(8) + 10y = 96

56 + 10y = 96

10y = 40

y = 4

Answer:

DE

Step-by-step explanation:

I hope this helps!

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

20,000

Step-by-step explanation:

12,469 rounds down to 12,000 and 8141 rounds down to 8000, so you have 20,000.

Adds up. 12,469+8141=20610.

Answer:

y= 1/2

Explanation:

Answer:d

Step-by-step explanation:

Answer:

a) 24,827

b)23,670

c)23,870

Step-by-step explanation:

Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

\(\sf \implies 2 : 20 = 3 : x\)

\(\sf \implies \dfrac{2}{20}=\dfrac{3}{x}\)

\(\sf \implies 2x=3 \cdot 20\)

\(\sf \implies 2x=60\)

\(\sf \implies x=\dfrac{60}{2}\)

\(\sf \implies x=30\)

Therefore the length of paper your should buy to make the banner is 30ft.

E=egg farm

x=distantce between  the Berto´s trains and the meeting point.

t=time where the trains meet up

⇒110 miles/h                                          ⇒85miles/h

[---------------------------E----------------------]-------------------------------------X

[............12 miles.......][........34 miles.....][------------ x ----------------------]

distance between Berto´s train and Eduardo´s train=

=12 miles+34 miles=46 miles.

S=d/t      ⇒d=S*t

S=seed

d=distance

T=time

Eduardo´s train;

46 miles+x=t*110 miles/h  ⇒x=t*110 miles/h-46 miles  (1)

Berto´s train;

x=t*85 miles/h  (2)

With the equations (1) and (2) we suggest this system equations:

x=t* 110 miles/h-46 miles

x=t*85 miles/h

we solve this system equiations :

t*110 miles/h-46 miles=t*85 miles/h

110t miles/h-85t miles/h=46 miles

25 t miles/h=46 miles

t=46 miles/25 miles/h=1,84 hour  (≈1 hour, 50 minutes, 24 seconds)

x=t*85 miles/h=156,4 miles

Solution: 1,84 hour

Answer:

1.84

Step-by-step explanation:

I did it on edge it was correct

Answer:

\(4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30\)

Answer:

The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5

The cost of avocados per box is $6

Step-by-step explanation:

Let us represent the price of Grapefruits per box = g

Strawberries per box = s

Avocados per box = a

Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23

2s + 3a = 23 ....... Equation 1

a = 23 - 2s

London buys three boxes of grapefruit and four boxes of strawberries in Spain $19

3g + 4s = 19 ....... Equation 2

Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51

7g + 5a = 51..... Equation 3

2s + 3a = 23 ....... Equation 1

3g + 4s = 19 ....... Equation 2

7g + 5a = 51..... Equation 3

Substituting 3a = 23 - 2s in Equation 3

a = 23 - 2s/3

7g + 5(23 - 2s/3) = 51

7g +( 115 - 10s/3) = 51

Multiply through by 3

7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3

21g + 115 - 10s = 153

21g -10s = 38 ........ Equation 4

Combining Equation 2 and 4

3g + 4s = 19 ....... Equation 2 × 10

21g -10s = 38 ........ Equation 4 × 4

30 + 40s = 190.. Equation 5

84g - 40s = 152 .... Equation 6

We Add Equation 5 and Equation 6 to eliminate s

114g = 342

g = 342/114

g = $3

To find s, cost 0f straw berries

g = $3

3g + 4s = 19 ....... Equation 2

3(3) + 4s = 19

9 + 4s = 19

4s = 19 -9

4s = 10

s = 10/4

s = $2.5

For find a, the cost of avocados.

7g + 5a = 51..... Equation 3

g = $3

7(3) + 5a = 51

21 + 5a = 51

5a = 51 - 21

5a = 30

a = 30/5

a = $6

g =$ 3, s =$ 2.5 and a = $6.

Therefore:

The cost of grapefruits per box is $3.

The cost of strawberries per box is $2.5 and

The cost of avocados per box is $6

Answer: r=4b/m-k

Step-by-step explanation: I think

The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the expression,

B=1/4m(r+k)

4B = m(r + k)

r + k = 4B/m

r = 4(B/m) - k

Hence "The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k".

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