Write the sum as a product of 2-factors.
10-25t

Answer:

false

Step-by-step explanation:

Because in a counterexample if 10 is divisible by 2 but not by 6 then it is false.

Answer:200 is a perfect square

Step-by-step explanation:

because when divided by two it give a whole number being divided

The mixed fraction of the given improper fraction is \(1\frac{2}{5}\).

According to the question,

We have the following improper fraction:

7/5

Now, to convert this into mixed fraction we will divide the numerator by the denominator and add the quotient before the fraction and the remainder will form the numerator and the denominator will remain same as that of this improper fraction.

(More to know: there are three kinds of fraction: proper fraction (in proper fraction, we have denominator larger than numerator), improper fraction and mixed fraction.

So, we will divide 7 by 5:

\(1\frac{2}{5}\)

Hence, the mixed fraction of 7/5 is \(1\frac{2}{5}\).

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Gio has a credit card balance of $3,230 with an annual percentage rate (APR) of 22%. He wants to pay off his balance in 24 months. To determine the monthly payment, we need to calculate the amount that Gio needs to pay each month to cover both the principal and the interest. The monthly payment required to pay off the balance in 24 months is approximately $159.58.

To calculate the monthly payment, we can use the formula for calculating the monthly payment for a fixed-term loan with interest. The formula is:

Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

P is the principal balance (initial balance)

r is the monthly interest rate

n is the total number of months

First, we need to calculate the monthly interest rate. The annual interest rate of 22% needs to be divided by 12 to get the monthly interest rate, which is approximately 1.83%.

Next, we substitute the values into the formula:

P = $3,230

r = 0.0183 (monthly interest rate)

n = 24 (number of months)

Monthly Payment = $3,230 * (0.0183 * (1 + 0.0183)^24) / ((1 + 0.0183)^24 - 1)

Solving the equation, the monthly payment comes out to approximately $159.58.

Therefore, Gio needs to make a monthly payment of approximately $159.58 to pay off his credit card balance of $3,230 in 24 months.

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Answer:

10/12 +4/3b

Step-by-step explanation:

When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

Hence, When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

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Answer:

-4

Step-by-step explanation:

The y-intercept is at -4 meaning y is negative four.

In the English system, an acre is a unit of area that is commonly used to measure land. It is defined as the area of a rectangle that measures 66 feet by 660 feet, which equals to 43,560 square feet.

To put it simply, there are 43,560 square feet in an acre. This measurement is used in a variety of applications, including real estate, agriculture, and construction. It is important to note that while the acre is commonly used in the United States, it is not used in all countries.

When measuring land, it is also important to understand other units of measurement that are commonly used, such as square feet, square yards, and square miles. These units can be converted to one another using simple mathematical formulas. For example, there are 9 square feet in a square yard, and 640 acres in a square mile.

In summary, an acre is a unit of area that measures 43,560 square feet in the English system. It is commonly used to measure land and is an important measurement for a variety of applications.

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Answer:

the maximum monthly payment is $958

Step-by-step explanation:

The computation of the maximum monthly payment for affording is shown below;

Let us assume that there is a 34% of the gross monthly income

So, it would be calculated below:

= Given percentage × gross monthly income - payments made - taxes & insurance per month

= 0.34 × $3,500 - $147 -$85

= $958

hence, the maximum monthly payment is $958

Answer:

c

Step-by-step explanation:

they are simple way to vote

The correct option is B• "The LP has multiple optimal solutions". Because  feasible region, intersects with the objective function in multiple points.

The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.

To determine the nature of the LP problem, we need to analyze its feasible region and objective function.

The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.

By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.

Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.

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Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

- 2w + u + 5

Step-by-step explanation:

-  (2w - u - 5 ) ← distribute terms in parenthesis by - 1

= - 2w + u + 5

      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

How to remove the parentheses from -(2w-u-5)

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

Think of the minus sign as being -1.

Now multiply -1 times 2w:-

-2w

Multiply -1 times -u:-

u

Multiply -1 times -5:-

5

Put the three terms together:-

\(\dashrightarrow\boxed{\boxed{\bold{\underline{-2w+u+5}}}}\dashleftarrow\)

                   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The factored form of the least common denominator needed to simplify this expression is (g+1)/(g^(2)+2g-15)+(g+3)/(g+5) is (g+5)(g-3).

The given expression is (g+1)/(g²+2g-15)+(g+3)/(g+5)

To find the least common denominator of the given expression, factorize the denominators as follows:

g² + 2g - 15 = (g+5)(g-3)

Denominator 1: (g+5)(g-3)g + 5

Denominator 2: (g+5)

Therefore, the least common denominator is (g+5)(g-3).

Hence, the factored form of the least common denominator needed to simplify the expression

(g+1)/(g^(2)+2g-15)+(g+3)/(g+5) is (g+5)(g-3).

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Answer:

The answer is 1 and 1/12 you can’t simplify the problem but this is the answer

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

We make 2/3 equal 5/12 to we do multiply 4 to 3 and 4 to 2 which then is 8/12 and 8+5 is 13/12 which goes to one and one half

Answers:

AC = 221.37 feet

BC = 181.34 feet

The values are approximate.

=========================================================

Explanation:

Focus on triangle ACD for now.

The 67 degree angle adjacent to angle D helps us find that angle D = 180-67 = 113 degrees.

Let's find the missing angle C.

A+C+D = 180

55+C+113 = 180

C+168 = 180

C = 180-168

C = 12

Now we can use the Law of Sines to find side d, which is opposite angle D. This is the segment AC.

\(\frac{\sin(C)}{c} = \frac{\sin(D)}{d}\\\\\frac{\sin(12)}{50} = \frac{\sin(113)}{d}\\\\d\sin(12) = 50\sin(113)\\\\d = \frac{50\sin(113)}{\sin(12)}\\\\d \approx 221.369 190\\\\d \approx 221.37\\\\\)

Segment AC is roughly 221.37 feet long.

Keeping our attention on triangle ACD, let's find side 'a'. This is the segment CD.

\(\frac{\sin(C)}{c} = \frac{\sin(A)}{a}\\\\\frac{\sin(12)}{50} = \frac{\sin(55)}{d}\\\\a\sin(12) = 50\sin(55)\\\\a = \frac{50\sin(55)}{\sin(12)}\\\\a \approx 196.995 186\\\\\)

Segment CD is roughly 196.995186 feet long.

----------------------------------------------

Now move onto triangle BCD.

Use the sine ratio to determine side BC.

\(\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\text{D}) = \frac{\text{BC}}{\text{CD}}\\\\\sin(67) \approx \frac{\text{BC}}{196.995186}\\\\\text{BC} \approx 196.995186*\sin(67)\\\\\text{BC} \approx 181.335025\\\\\text{BC} \approx 181.34\\\\\)

Segment BC is roughly 181.34 feet long.

Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

Answer:

72 Feet

Step-by-step explanation:

it is a four sided figure so 15*2 + 21*2 you will get 30 + 42 so the answer is 72

Answer:

You would travel 200 miles before running out of gas.

Step-by-step explanation:

1:20 so 10:200 each time you multiple by 10

The work done by the person walking up the spiral staircase can be calculated by multiplying the force exerted by the distance traveled. The force exerted is the weight of the person, which is 181 lb.

The distance traveled consists of the circumference of the circular path plus the additional height gained after one revolution.

First, we calculate the circumference of the circular path using the formula C = 2πr, where r is the radius of 4 ft. Therefore, the circumference is \(C = 2π(4 ft) = 8π ft\).

Next, we calculate the total distance traveled by multiplying the circumference by the number of revolutions, which in this case is 2, and adding the additional height gained after one revolution, which is 14 ft. Thus, the total distance is 2(8π ft) + 14 ft.

Finally, we calculate the work done by multiplying the force (181 lb) by the total distance traveled in ft. The work done is\(181 lb × (2(8π ft) + 14 ft) ft-lb.\)

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Answer:

the answer should be no solution

Answer:

B

Step-by-step explanation:

Given

3(- n + 4) + 5n = 2n ← distribute and simplify left side

- 3n + 12 + 5n = 2n

2n + 12 = 2n ( subtract 12 from both sides )

2n = 2n - 12 ( subtract 2n from both sides )

0 = - 12 ← not possible

This indicates the equation has no solution

Comparing the types of solutions

A n = 3

Indicates that there is only one unique solution to the equation.

B no solutions

This is indicated when you solve and obtain a ridiculous statement, similar to the one obtained in part A, that is

0 = 12

C infinite solutions

This is indicated when you solve the equation and obtain

4 = 4 or - 3 = - 3

Answer:

no solution

Step-by-step explanation:

-2(4 - 3x) – 6x = 10

Distribute the -2

-8 +6x -6x = 10

Combine like terms

-8 = 10

This is not true so there is no solution

To prove that angle A is congruent to angle E in parallelogram BCDF, we can use the properties of parallelograms and corresponding angles.

Since BCDF is a parallelogram, its opposite sides are parallel. This implies that line AD is also parallel to line CF.

We are given that line AB is congruent to line BF. This means that side AB is congruent to side BF.

Now, using the property of corresponding angles, we can conclude that angle A is congruent to angle E. This is because angle A and angle E are corresponding angles formed by the parallel lines AD and CF and the transversal line ABF.

Therefore, we have proven that angle A is congruent to angle E in parallelogram BCDF.

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Maya drove on the mountains for her trip. Due to traffic, her average rate of miles per hour was faster at the time of coming back to her home than going on her trip. Thus, The distance between where she lives and the mountains is

288 miles .

Let's consider that Maya live x miles from the mountains.

Let her rate to mountains be y miles/h.

we have given that

Driveing time taken by Maya going from home to trip location= 9 hours due to traffic

total return time taken by her = 4 hours

average rate = 40 miles/hour

Using rate formula,

Rate = distance/time

=> distance (d) = rate (r) × time (t)

so, x/y = 9

=> x=9y --(1)

Return trip 4 hours then rate = y+40

=> x/(y+40) =4 --(2)

using Substitution method, x= 3 substitute in (2)

=> 9y/(y+40)=4

=> 9y=4y+160

=> 9y-4y=160

=> 5y=160

=> y= 160/5

=> y=32

Now, x=9y

x=9×32= 288 miles

Hence, distance to the mountain is 288 miles.

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Complete question:

Maria drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Maria drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Maria live from the mountains?

Do not do any rounding.

Answer and explanation:

Take the area formula:

A = L * W

Then manipulate it to fit the context of which unknown you are finding:

Problem 1

\(\dfrac{36 = 4 * W}{4}\)

\(9 = W\)

So, the length of side c is 9 mm.

Problem 2

\(\dfrac{21 = W * 21}{21}\)

\(1 = W\)

So, the length of side a is 1 m.

Problem 3

\(\dfrac{49 = 7 * W}{7}\)

\(7=W\)

So, the length of side t is 7 cm.

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

6 Oranges and 2 bottles of juice.

Step-by-step explanation:

For the amount of oranges: 18÷3=6 (take 1/3 of 18).

For the bottles of of Juice: 18÷9=2 (take 1/9 of 18).

in this question, if the numerator is 1, then just divide the number of girls by the denominator (eg. 3 and 9 in this case).

There are six oranges and two bottles of juice will she needs for all 18 girls.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

There are the total number of girls is 18. Each girl will eat 1/3 of an orange and one serving of juice, or 1/9 of the amount in a bottle.

To determine the number of oranges and the bottles of juice.

We have to divide the number of girls by the denominator (eg. 3 and 9 in this case).

For the number of oranges:

1/3 of 18

18 ÷ 3

18 / 3 = 6

For the bottles of Juice:

1/9 of 18

18 ÷ 9

18 / 9 = 2

Hence, there are six oranges and two bottles of juice will she needs for all 18 girls.

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A) The annual growth rate between 1993 and 2004, is approximately 5.68%.  B) Converting the growth rate from part A to percentage form, is approximately 5.68%.  C) Assuming the house value continues to grow at the same annual growth rate, the estimated value in the year 2009 would be approximately $215,000

A) The annual growth rate between 1993 and 2004, assuming exponential growth, can be calculated using the formula: growth rate = (final value / initial value) ^ (1 / number of years) - 1. In this case, the initial value is $95,000, and the final value is $165,000. The number of years is 2004 - 1993 = 11. Plugging these values into the formula, we get: growth rate = (165,000 / 95,000) ^ (1 / 11) - 1 ≈ 0.0568.

B) Converting the growth rate from part A to percentage form, we multiply it by 100. Therefore, the correct answer in percentage form is approximately 5.68%.

Now let's move on to part C. Assuming the house value continues to grow at the same percentage, we can calculate the value in the year 2009. We know that the value in 2004 was $165,000. To find the value in 2009, we need to calculate the growth over a period of 5 years. Using the growth rate of 5.68% (or 0.0568 as a decimal), we can calculate the value in 2009 as follows: value in 2009 = value in 2004 (1 + growth rate) ^ number of years = 165,000 (1 + 0.0568) ^ 5 ≈ $215,291.

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