Katrina, Nelson, and Blake bike from the school to their homes. Katrina bikes 12 miles north from the school. • Nelson bikes 8 miles south from the school. • Blake bikes fewer miles than Katrina and more miles than Nelson. The location of the school is represented by 0. Which expression could represent the number of miles Blake bikes? A. 1141 B. 161 C. I-101 D. -16

The inequality is given by x + y ≥ 3 and 2x + 3y ≤ 15

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let y represent the number of sandwich and x represent the number of hot lunch.

Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates, hence:

x + y ≥ 3

Also:

2x + 3y ≤ 15

The inequality is given by x + y ≥ 3 and 2x + 3y ≤ 15

The part of the graph that is darkest is the solution. The point (5, 1) lies on the dark region, hence it is a solution.

Michael can buy 5 sandwich and 1 hot lunch for his classmates.

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Answer:

Step-by-step explanation:

A-the first equation which is  2x + 3y ≤ 15 is shaded downwards while the other equation x + y ≥ 3 is shaded upwards

B-(5,1) is included in the solution area for the 2x+3y<15  equation because when x and y are substituted ,it is still less than 15 

so 5+1 is greater than 3

C-(2,3) MICHEAL can buy 2 sandwiches and 3 hot lunches which is Whitin his 15 dollar budget and can feed at least 3 of his classmates ]

i hope this is correct I'm not sure 100% especially part c if it incorrect put comment with correction

Answer:

Step-by-step explanation:

1

Answer:

3(5+y)=2

Step-by-step explanation:

I think this is how it is written. I am guessing, not an expert here. :)

Answer:

3(5+y)=2 is the answer.

Answer:

a) 26

b) 26/3

Step-by-step explanation:

a)

1) First, you have to turn 4 1/3 into an improper fraction, so you get 13/3

2) Then you do 13/3 *6/1 =78/3 (so you multiply both numerators and denominators)

3) Lastly, 78/3 can be simplified as 26

b)

1) First you turn both fractions into improper fractions, so you get 13/5 and 10/3

2) Then you do 13/5*10/3 (so you multiply both numerators and denominators)

3) You get 130/15, which can be simplified as 26/3

Part A: 5,333\(\frac{1}{3}\) square yards

EX: The length of the football field is 100 yards. The width of the field is 53\(\frac{1}{3}\) yards.

Part B: 1/10 inch per yard

EX: The scale used in the drawing is 1 inch to 10 yards. I can represent this ratio in several different ways: 1 inch to 10 yards, 1 inch : 10 yards, 1 in/ 10 yd or 1/10

Part C: 10 inches

EX: Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:

1 in. / 10 yd. =  × in. / 100 yd.

Cross multiply, and then divide both sides by 10 to solve for x:

100 = 10x

10 = x

Part D: 5 1/3

EX:  Use the actual width of 53\(\frac{1}{3}\) yards and the scale to find the width of the field in the scale drawing.

Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:

1 in / 10 yd = 53\(\frac{1}{3}\) yd

Cross multiply, and then divide both sides by 10 to solve for x:

10x = 53\(\frac{1}{3}\)

x = 160/3 ÷ 10

x = 16/3

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

Part E: 53 1/3

EX: In the scale drawing, the length of the football field is 10 inches and the width is 5\(\frac{1}{3}\) inches. The area of a rectangle is length × width:

area = length × width

= 10 in. x 5\(\frac{1}{3}\) in.

= 53\(\frac{1}{3}\) sq. in. ( square inches)

Part F: The ratio is 1 square inch to 100 square yards

EX: The area of the football field in the scale drawing is 53\(\frac{1}{3}\)  square inches.

The area of the actual football field is 5,333\(\frac{1}{3}\) square yards.

The calculation for the ratio of the scaled area to the actual area is

53\(\frac{1}{3}\) sq. in. / 5,333\(\frac{1}{3}\) sq. yd. = 1 sq. in. / 100 sq. yd.

Step-by-step explanation:

The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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Round down to the nearest cent for amounts between 0 and 49 dollars. Round up amounts between 50 and 99 cents.

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Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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The measure of the angle m∠PBM is calculated as; 54°

An inscribed angle is defined as an angle with its vertex on the circle.

The measure of an inscribed angle is half the measure the intercepted arc.

The formula is:

Measure of inscribed angle = 1/2 × measure of intercepted arc

Now, we are given that;

MB = PB

Arc PB = 27°

Thus;

Arc MBP = 2 * 27°

Arc MBP = 54°

Thus, using the Measure of inscribed angle we have;

∠PBM = 27 * 2 = 54°

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The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer:

a. A(x) = 3x² - 8x + 5

b. x = ⁸/₃

Step-by-step explanation:

a.

A(x) = shaded area

A(x) = (2x - 3)² - (x - 2)²

= 4x² - 12x + 9 - (x² - 4x + 4)

= 4x² - x² - 12x + 4x + 9 - 4

= 3x² - 8x + 5

b.

ΔABF area = ⁵/₄ cm²

A(x) = 4(⁵/₄)

= 5

Substitution:

3x² - 8x + 5 = A(x) = 5

3x² - 8x + 5 = 5

3x² - 8x = 0

x(3x - 8) = 0

3x - 8 = 0

x = ⁸/₃

x = 0

Since x > 2, x = 0 is not valid;

So, x = ⁸/₃

Answer:

Step-by-step explanation:

Let |x-a|=b

then x-a=±b

so x-a=b

or x=a+b

so a+b=18   ...(1)

and x-a=-b

or x=a-b

or a-b=8   ...(2)

adding (1) and (2)

2a=26

a=26/2=13

subtract (2) from (1)

2b=10

b=10/2=5

|x-13|=5

1st statement is always true.

2nd statement is never true.

3rd statement is always true.

4th statement is always true.

5th statement is sometimes true.

What is dilation geometry?

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making objects larger or smaller. This transformation yields an image that is identical to the original shape. However, there is a size difference in the shape. A dilation should stretch or contract the original shape.

1. The angles of dilated figures are congruent to the original figure.

  This statement is always true.

2. The sides of dilated figures are congruent.

    This statement is never true.

3. The sides of dilated figures are proportional.

    This statement is always true.

4. A rigid transformation results in congruent figures.

   This statement is always true.

5. A rigid transformation results in similar figures.

   This statement is sometimes true.

Hence,

1st statement is always true.

2nd statement is never true.

3rd statement is always true.

4th statement is always true.

5th statement is sometimes true.

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1) the supply and demand schedule for Blue-ray movie "Frozen is attached accordingly.

Equilibrium price and quantity are $20 and 40 units respectively.

2) At a price of $30, quantity demand  and supplied are 20 and 60 units respectively

This is an example of supply surplus.

To get the price back to equilibrium, they have to setthe price at $20 /unit

3) at $10 the quantity demand and supplied are 60 units and 20 units respectively.

This is an example of supply shortage.

increasing the price to $20 per unit will help achieve equilibrium.

Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.

Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.

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Answer:

Eric=154 txt msg

Melissa=164 txt msg

Ravi=615 txt msg

I hope this helped :)

Answer:   x = 2

Work Shown:

x+5 = 7

x+5-5 = 7-5

x = 2

Subtract 5 from both sides to isolate x. This is to undo the plus 5.

The percentage of temperatures for Shanghai between 46ºF and 78ºF is given as follows:

50%.

A box and whisker plots shows these five features from a data-set, listed as follows:

For Shanghai, the quartiles are given as follows:

Q1 = 46, Q3 = 78.

Hence the temperatures between 46 and 78ºF represent the interquartile range, containing the middle 50% of observations.

The problem is given by the image presented at the end of the answer.

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Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer:

domain: {3,6,9}

range: {1,4,9}

Step-by-step explanation: take the x values in increasing order for domain and the y values in increasing order for range. Do not repeat values.

The fraction of the area of polygon H of polygon G's area would be: 1/16.

When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.

The scale factor = new dimension/original dimension

Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:

Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation

Area of polygon H/Area of polygon G = 1²/4² = 1/16

This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².

Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.

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Answer:

8)36

Step-by-step explanation:

78+66=144

180-144=36

9)63+86=149

180-149=31

180-31=149

10)180-(6+25x)=180-(44)-(18x-3)

x=5

11)35+2x+5+x-10=180

x=50

Answer:

21 Assignments were NOT English.

The width of the river that Salem wish to measure is 41 meters.

Similar triangles are two given triangles which have common relations with respect to the length of corresponding sides when compared. Though the triangles are similar, but they are not congruent.

In the given question, let the width of the river be represented by x. Then on comparison the properties of the two triangles, we have;

31/ 58 = 22.1/ x

x = (58*22.1)/ 31

  = 1281.8/ 31

x = 41.3487

The width of the river is 41 meters.

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Step-by-step explanation:

2.5 + 0.15p = 0.4p

0.25p = 2.5 (subtract 0.15p on both sides)

p = 10 (multiply 4 on both sides)

Answer:

\(2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}\)

10 is the right answer.