Dennis wants to walk one mile for exercise each day he made a table to show the distance from his home to each of the four different places what is the total distance from home to the post office and back home and from home to the store and back home of Dennis walks this total distance will he walk 1 mile explain how you found your answer


Bank: 1/7 mile
Department store: 1/2 mile
Post Office: 1/9 mile
Store: 1/3 mile

The factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.

The greatest common factor, which is the product of two or more numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's factors have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF).

Given that [tex]4p^2 - p = 0[/tex]:

Solve the equation to find the value of p:

[tex]4p^2 - p =0\\\\p(4p -1 ) = 0\\[/tex]

Here, the value of p = 0 or the value of (4p - 1) =0.

For (4p -1) = 0, the value of p is:

p = 1/4

Hence, the factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.

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1.00 tons is 907185 grams.

1kilogram-2.20462 lbs  -------1

1 ton= 2000lbs              -------2

from 1 and 2

1 ton = 2000/2.2 kilogram

2000lbs =909.09 kilogram

∴1 ton= 909.09 kilogram

Now 1 Kilogram =1000gram

so, 909.09 kilogram= 1000x909.09

=907185 grams.

Therefore, 1.00 tons is equivalent to 907185 grams.

Ton is one of the several units of measurement along with pounds, kilograms, and grams for weight measurement. Pounds is denoted by lbs. Ton is of three types:

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The measure of angle E in the triangle is 60°

An equation shows the relationship between numbers and variables in an expression.

From the diagram:

∠ABE + ∠EBC = 180° (sum of angles in a straight line)

120 + ∠EBC = 180

∠EBC = 60°

∠EBC = ∠ECB = 60° (isosceles triangles have equal base angles)

∠EBC + ∠ECB + ∠BEC = 180° (sum of angles in triangle)

∠BEC + 60 + 60 = 180

∠BEC = 60°

Angle E is 60°

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The sets of numbers 1.5, 2, 2.5 and 9, 40, 41 could be the sides of a right triangle.

The correct Options are Options A and C.

The lengths of a triangle's sides satisfy the Pythagorean Theorem if it is a right triangle.

Test each set of values by inserting them into the Pythagorean Theorem to determine which option is right.

So,

A)1.5² + 2² = 2.5²

2.25 + 4 = 6.25

6.25 = 6.25

B)5² + 6² = 12²

25 + 36 = 144

61 ≠ 144

C) 9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

D) 18² +  24² = 21²

324 + 576 ≠ 441

E) 19.5² + 7.5² = 18²

380.25 + 56.25 ≠ 324

Therefore, the first and third sets of numbers represent the side lengths of a right triangle.

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Answer:

Step-by-step explanation:

the answer

actually its option b

Answer:
If one of the equations of the system of linear equations with two variables has no solutions, then the system of equations has no solutions.

The value of each prize based on the information is 625.

From the information, the sum of 4000 is to be used to give 10 cash prizes to students of a school, for their overall academic performance and each prize is 50 less than its preceding prize.

Based on the information, the following can be deduced:

a = first term = unknown

n = 10

d = common difference = -50

This will be slotted into the arithmetic sum as:

n/2 [2a + (n - 1)d]

10/2[2a + (9 × -50)] = 4000

a = (4000 + 2250) / 10

a = 625

The value is 625.

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The SOH-CAH-TOA is an easy way to remember trig ratios.

What are trigonometric ratios?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle.

SOH-CAH-TOA: an easy way to remember trig ratios

The word sohcahtoa helps us remember the definitions of sine, cosine, and tangent. Here's how it works:

SOH,   Sine is opposite over Hypotenuse      sin(A) = opposite/hypotenuse

CAH,   Cosine is Adjacent over Hypotenuse  cos(A) = Adjacent/hypotenuse

TOA,   Tangent is opposite over Adjacent      tan(A) = Opposite/Adjacent

For example, if we want to recall the definition of the sine, we reference

SOHS, since sine starts with the letter S. The O and the H help us to remember that sine is opposite over hypotenuse.

Hence, the SOH-CAH-TOA is an easy way to remember trig ratios.

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According to the given triangle, the value of ∠F is  13.2°

The term triangle is known as the polygon with three sides.

Here we have given that the triangle FGH, f = 1. 2 inches, h = 2. 3 inches and H=26°.

Now, by using the law of sine, we have written the expression as,

=> sin 26°/ 2.3 = sin x°/1.2

where x refers the value of the angle F.

Now, we have to cross multiply the terms then we get,

=> 0.4384/2.3 = sin x°/1.2

=> 1.2(0.4384) = 2.3 sin x°

=> 0.5261/2.3 = sin x°

=> x° = sin⁻¹(0.2287)

=> x° =  13.2°

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Answer: To find the magnitude of the resultant, we can use the formula:

R = sqrt(F1^2 + F2^2 - 2F1F2*cos(theta))

where F1 and F2 are the magnitudes of the two forces and theta is the angle between them in radians.

So,

R = sqrt(58^2 + 32^2 - 25832cos(22)) = sqrt(3364 + 1024 - 21856*0.9135) = sqrt(4388) = 66.18

To find the measure of the angle between the resultant and the smaller force, we can use the formula:

theta = atan2(F2sin(theta), F1 + F2cos(theta))

So,

theta = atan2(32sin(22), 58 + 32cos(22)) = atan2(15.49, 81.49) = 16.89 degree

The magnitude of the resultant to the nearest 10th of a newton is 66.2 newton.

Final Answer = The measure of the angle between the resultant and the smaller force, to the nearest 10th of a degree, is 16.9 degree

Step-by-step explanation:

The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.

addressing a problem by a method or action; giving a justification for the remedy. a number of different variable values that all agree with an equation, specifically The solution is any value of a variable in an equation that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal and so fulfills the equality. The act of solving an equation entails locating its solution or solutions. One approach to express a solution's concentration is as a percentage of a solute in the solvent. The mass of the solute to the mass of the solution ratio or the mass of the solute to the mass of the solution ratio are two other ways to calculate the percentage.

given

q represents the number of quarter

17 - q represents the number of dimes

0.25q + 0.10(17 - q) = 3.35

The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.

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Answer:

x = 16/3 , -2

Step-by-step explanation:

Solving an absolute value equation

|3x - 5| = 11

Separate into two equations, one positive and one negative.

3x-5 = 11  and 3x-5 = -11

Add 5 to all sides

3x-5+5 = 11+5          3x-5+5 = -11+5

3x = 16                            3x = -6

Divide by 3

3x/3 = 16/3                     3x/3 = -6/3

x = 16/3                            x = -2

Answer:

13x=11+51(collecting like terms)

13x=62

make X subject of formular

X = 62/13

X= 4.76 or 4.8

Answer: The area of the square pizza box is 324 square inches.

Step-by-step explanation:

The area of the square pizza box is 18 inches x 18 inches = 324 square inches. The area of the circular pizza is π x (8 inches)^2 = 201.06 square inches. The difference between the area of the box and the pizza is 324 square inches - 201.06 square inches = 122.94 square inches. (rounded to the nearest hundredth).

Answer:

the question is not clear enough to be answered so please state it well

Step-by-step explanation:

bfuchx mkch

vncjv

nck

vk

fhf

Answer is in the attached png file

Answer: y = 2x + 4

Explanation: Find the slope, and then create the equation using y=mx+b form.

Answer:

11/20 is less than

Step-by-step explanation:

Since 11/20 is a fraction and 1 is a whole number.

Answer:

6cm

Step-by-step explanation:

LxW=Area

6x6=36

Answer:

D. I, II, III, and IV

Step-by-step explanation:

When looking at a parallelogram you know that Q'R'S'T' is 2/3 the size of QRST.

Due to this you know that the length of QR is 2/3 of Q'R'

Due to the image you also know that R' and T' are the same angle, and since angles do not change size like side lengths, you know that angles R' T' and R and T are all equivalent

That guarantees III to be correct as well since angles Q and Q' are equivalent

IV is also correct because, T'S' is 2/3 of TS

Answer:

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

Step-by-step explanation:

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

This means m∠NQL + m∠QNM = 180

80 +  m∠QNM = 180

m∠QNM = 180 - 80 = 100

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

which theorem is used in this parallelogram?

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

This means m∠NQL + m∠QNM = 180

80 +  m∠QNM = 180

m∠QNM = 180 - 80 = 100

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The wheel is making approximately 31028 revolutions per minute when the car is traveling 40 mph.

To calculate the revolutions per minute (RPM) of the wheel when the car is traveling 40 mph, we need to use the equation:

RPM = (Speed) / (Circumference)

First, we need to determine the circumference of the wheel. The circumference is equal to 2 × pi × radius.

Circumference = 2 × pi × 13 inches = 81.68 inches

Now we can use this value to calculate the RPM:

RPM = (40 mph) / (81.68 inches)

To convert the speed from mph to inches per hour, we multiply by the number of inches in a mile (63360 inches)

RPM = (40*63360 inches/hour) / (81.68 inches)

RPM = 31028.40353

Therefore, the wheel is making approximately 31028 revolutions per minute.

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The above statement indicates that the linear inequality -5>-7 is true.

Many straightforward inequalities may be resolved by adding, taking away, multiplying, or splitting both sides until the variable is all that remains. However, these factors will shift the direction of inequality: Using a negative number to multiply or divide both sides. switching the left and right sides. Ax + by > c or ax + by c are the two possible solutions to the two-variable system of linear inequalities. According to the provided collection of disparities, the signals of inequality can change.

Differences (interval notation: (-∞,∞)) -5>-7

The inequality -5>-7 is valid as a result.

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To solve for A, we need to first understand the absolute value symbol in the equation. The absolute value of a number is the non-negative value of that number, so |6a+21| = 6a+21 for all values of a.

What does a math equation mean?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, we can rewrite the equation:

-5(6a+21) = 15

Then we can distribute the -5 on the left side:

-30a - 105 = 15

We can then add 105 to both sides to get:

-30a = 120

Then we can divide both sides by -30 to get:

a = -4

So, the solution for A is -4.

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The equation of the line y = -3x + 7 is a line with a negative gradient of -3, meaning that its slope is negative 3.

The equation of the line that is perpendicular to this is y = 1 - 3x + 7, with a positive gradient of 1. This can be seen by the fact that the negative gradient of the first equation (-3) multiplied by the positive gradient of the second equation (1) is equal to -3.

The equation of the perpendicular line can also be found by using the formula for the gradient of a perpendicular line, which is the negative reciprocal of the original line. This means that the gradient of the line perpendicular to y = -3x + 7 is -1/3, which is equivalent to the gradient of y = 1 - 3x + 7.

To check this, we can substitute in a value of x and calculate the corresponding y values. For example, if x = 2, y = -3(2) + 7 = 1 and y = 1 - 3(2) + 7 = -5. The difference between the two y values is 6, which is the product of the gradient of the first line (-3) and the gradient of the second line (1/3). This confirms that y = 1 - 3x + 7 is the equation of the line perpendicular to y = -3x + 7.

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Answer:

5x-40

-8x+9

11x-15

Step-by-step explanation:

8x-40-3x

8x-3x-40

5x-40

~

5-8x+4

5+4-8x

9-8x

~

x-12x-15

11x-15

The next step to find the y intercepts is the substitute the value of m2 and coordinate of point P in the equation of the line intercepts from equation y= mx + b and then solve for b in each equation.

Bernie wants to write equations in the form of y=mx+b where m stands for slope. The line passing through the point P and that is perpendicular to the s and parallel to the line r.

we are aware that if two lines are parallel then the slopes are equal.

So, m1=m2

and if two lines are perpendicular then product of slopes equal to -1

m1×m2=-1

the y intercepts are the point of intersection between the straight line.

y = mx +b and the y axis. The y intercepts value of y when x=0.

The next step to find the y intercepts is the substitute the value of m2 and the coordinate of point P in the equation of the line intercept from equation y=mx +b and then solve for b in each equation.

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The monthly payment p when the amount borrowed , B is $175,000 is equals to the $1216.25.

We have provide the monthly payment p on a mortgage varies directly with the amount borrowed B. Mathematically, p B

=> p = k × B

where k is Proportionality constant.

First, we have to solve for "k" . If the monthly payment on a 30-year mortgage is $6.95 for every $1000 borrowed"

=> 6.95 = k × 1000

=> k = 6.95/1000 = 0.00695

-Now, we determine a linear function that relates the monthly payment p to the amount borrowed B for a mortgage with the same terms. For this plug the value of k in above equation

=> p = 0.00695× B

which is linear equation. Then calculate the monthly payment p by using above equation :

when the amount borrowed is $175,000

=> p = $175,000× 0.00695

=> p = $1216.25

Hence, required payment is $ 1216.25.

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The equation that represents the total cost, C, of h hats and 6 scarves is C = 10.50h + 76.5

Amount Keisha sells each hat = $10.50

Amount Keisha sells each scarves = $12.75

Total cost = C

Number of hats = h

Number of scarves = 6

Total cost = Amount Keisha sells each hat(Number of hats) + Amount Keisha sells each scarves(Number of scarves)

C = 10.50(h) + 12.75(6)

C = 10.50h + 76.5

Therefore, C = 10.50h + 76.5 is the equation which represent the total cost of hats and scarves.

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The person who ate the most of their bag of skittles is Mr. Thomas.

The order from least to greatest is:

0.18, ⅕, 2/9, 23%, 0.25, 30%

To find the person who ate the most of their bag of skittles, convert all the quantities that the people had eaten, to decimals and the person with the largest decimal would have eaten the most:

Ms. Lea:
= 3 / 4

= 0. 75

Ms. Peter:

= 65 / 100

= 0.65

Mr. Thomas :

= 0. 85

Ms. Cassie:

= 4 / 5

= 0.80

Mr. Thomas therefore ate the most.

Once again, convert all the decimals and then order them:

30%:

= 30 / 100

= 0. 30

23% :

= 23 / 100

= 0.23

1 / 5 :

= 1 ÷ 5

= 0. 20

2 / 9 :

= 2 ÷ 9

= 0.22

The order is therefore:

0.18, ⅕, 2/9, 23%, 0.25, 30%

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