find the gcf of the monomial factor 15a-25b+20

Answer:

Option D

Step-by-step explanation:

Given are the four options and we have to select the one which is not good defintion.

A)A whole number is even if and only if it is divisible by 2.

--- Is correct definition of even number.

B. A whole number is odd if and only if the number is not divisible by 2.  

---  Correct definition

C. An angle is straight if and only if its measure is 180.  

... correct definition

D. A ray is a bisector of an angle if and only if it splits the angle into two angles

...   This is incorrect because congruent/equal angles should be there

Correct definition is

A ray is a bisector of an angle if and only if it splits the angle into two congruent angles

Answer:

Option D.

Step-by-step explanation:

A biconditional statement are the statement in which both parts have the same truth value. It is written in the form of "p if and only if q".

First statement: A whole number is even if and only if it is divisible by 2.

This statement is a biconditional statement because it is the definition of even numbers and have the same truth value.

Second statement: A whole number is odd if and only if the number is not divisible by 2.

This statement is a biconditional statement because it is the definition of odd numbers and have the same truth value.

Third statement: An angle is straight if and only if its measure is 180.

This statement is a biconditional statement because it is the definition of straight angle and have the same truth value.

Fourth statement: A ray is a bisector of an angle if and only if it splits the angle into two angles.

This statement is not a biconditional statement because if a ray splits the angle into two angles, then it is not necessary that it is a bisector.

Definition of bisector: A ray is a bisector of an angle if and only if it splits the angle into two congruent angles.

Therefore, the correct option is D.

Answer:

1. - $ 175

2.  -$ 195

3. Rochelle has $ 20 more than Denae.

Step-by-step explanation:

1. Given,

Rochelle made three withdrawals of $25,

Again she wrote $ 100,

So, the total amount she withdraw = 3 × 25 + 100= 75 + 100 = $ 175,

Thus, the total change in balance in her account = -$175,

2. Denae deposited 5 dollars,

i.e. change in her balance = $ 5,

Then she wrote a $200 check,

i.e. change in her balance = -$200,

Thus, the total change in her account = 5 - 200 = -$ 195

3. ∵ -175 > -195

⇒ Rochelle withdrew less amount,

If both started with the same balance,

Then the amount in Rochelle's account is more than that of Denae's account.

Also, -175- (-195) = -175 + 195 = $ 20

i.e. Rochelle has $ 20 more than Denae.

Answer: Tine solved 15 hard puzzles.

Step-by-step explanation:

Let x be the number of easy puzzles and y be the number of hard puzzels.

Given : A player earns 30 points for solving an easy puzzles and 60 points for solving a hard puzzled.

Tina solved a total of 50 Puzzles playing this game, earning 1950 points in all.

Then system of equations for above description:

[tex]x+y=50--------(1)\\30x+60y=1950---------(2)[/tex]

Multiply 60 in equation (1), we get

[tex]60x+60y=3000-----(3)[/tex]

Subtract equation (2) from (3), we get

[tex]30x=1050\\\\\Rightarrow\ x=\dfrac{1050}{30}=35[/tex]

Put x=-35 in (1), we get

[tex]35+y=50\\\\\Rightarrow\ y=50-35=15[/tex]

Hence, Tine solved 15 hard puzzles.

Using a system of equations, it is found that Tina solved 35 easy puzzles and 15 hard puzzles.

For our system, we are going to say that:

Total of 50 puzzles, thus:

[tex]x + y = 50[/tex]

Each easy puzzle earns 30 points, each hard 60, total of 1950 points, thus:

[tex]30x + 60y = 1950[/tex]

From the first equation:

[tex]x = 50 - y[/tex]

Replacing in the second:

[tex]30x + 60y = 1950[/tex]

[tex]30(50 - y) + 60y = 1950[/tex]

[tex]30y = 450[/tex]

[tex]y = \frac{450}{30}[/tex]

[tex]y = 15[/tex]

Then:

[tex]x = 50 - y = 50 - 15 = 35[/tex]

Tina solved 35 easy puzzles and 15 hard puzzles.

A similar problem is given at https://brainly.com/question/17096268

Answer:

b. The domain is all real numbers less than or equal to 81; and The range is not all real numbers because the square root symbol applied to a non-negative number is non-negative.

Step-by-step explanation:

The square root function is not defined in the real number system for the square root of a negative number.

In order for the number under the radical sign to be positive, then the value of x must be all numbers less than or equal to 81.

The range cannot be negative numbers, since the square root of a positive number will give a positive answer.

This makes the correct choice b.

The answer is (x+7)(x^2-5)

Given: y = (-3/2)x + 15,

Here the slope is -3/2 and the y-intercept is 15.

The y-intercept tells us how many spoonfuls of chips Tiffany has at the beginning of her baking spree. This count decreases with each muffin that she makes, by 1 1/2 spoonfuls.

Answer:

A.) After the initial fixed-rate period, your rate may increase.

Step-by-step explanation:

Due to the rate being adjustable, you may be forced to pay more than what you had originally hoped for after the fixed-rate period. This tends to usually be negative for you since you will have to pay more money, but will help you pay off the debt faster.

A concern with an adjustable-rate mortgage (ARM) is the potential increase in monthly payments over time as interest rates adjust to market rates after the initial fixed period, which can pose a cash flow problem for the homeowner.

A major concern if you have an adjustable-rate mortgage (ARM) is the potential for an increase in your mortgage payments over time. This type of mortgage allows the interest rate to vary in accordance with market interest rates, which often reflect changes in inflation. Initially, an ARM might have a lower interest rate than a fixed-rate mortgage, making it an attractive option. However, after a certain period, the interest rate may adjust based on a specific financial index, such as the U.S. Treasury Note, and can result in higher monthly payments.

In the case of a five-year ARM, for example, the mortgage might start with a lower interest rate compared to a thirty-year fixed mortgage, leading to lower initial payments. However, after the initial fixed period, the rate can adjust, potentially leading to increased payments and creating a cash flow problem for the borrower if the rates rise significantly.

Answer:

7 people will take 16 minutes to paint 4 walls.

Step-by-step explanation:

Since, if [tex]x_1[/tex] people take [tex]n_1[/tex] times for [tex]w_1[/tex] work and in the same kind of work [tex]x_2[/tex] people take [tex]n_2[/tex] time for [tex]w_2[/tex] work,

Then,

[tex]\frac{x_1\times n_1}{w_1}=\frac{x_2\times n_2}{w_2}[/tex]

Here, [tex]x_1=4[/tex], [tex]n_1=63[/tex], [tex]w_1=9[/tex],

[tex]x_2=7[/tex], [tex]w_2=4[/tex]

By substituting the values in the above formula,

[tex]\frac{4\times 63}{9}=\frac{7n_2}{4}[/tex]

By the cross multiplication,

[tex]1008=63n_2[/tex]

[tex]\implies n_2=\frac{1008}{63}=16[/tex]

Hence, 7 people will take 16 minutes to paint 4 walls.

Answer:

the answer is d

Step-by-step explanation:

To find out how much sugar is in each muffin, calculate the total grams of sugar in 3/4 cup and then divide that by the number of muffins (six). This will provide the amount of sugar in each muffin, which can be expressed in grams per muffin.

To determine how much sugar is in each muffin when 3/4 cup of sugar is needed to make six muffins, we simply divide the total amount of sugar by the number of muffins. First, we can find out how many grams of sugar are in 3/4 cup of sugar given that there are 200 grams in a full cup. So, we calculate .75 cups of sugar X 200 grams/cup to get the total grams of sugar in 3/4 cup.

Once we have the total grams of sugar for six muffins, we divide that amount by 6 to find out how much sugar is in each muffin. Mathematically, we can set up the following equivalency ratio for a formal solution: 3/4 cups sugar / 6 muffins = sugar per muffin. This will give us the amount of sugar in each individual muffin.

 to get the numbers in step 3

multiply -1.6 by 3

then multiply -1.6 by 0.1

 and add them together

answer is D) (–1.6)(3) + (–1.6)(0.1)

Answer:

In Step 2 the expression is Option 4 is correct.                                    

Step-by-step explanation:

Given : Sydney applied the steps below to find the product of [tex](3.1)(-1.6)[/tex].

To find : Which expression correctly fills in the blank in Step 2?

Solution :

Step 1 : Commutative property applied, [tex]ab=ba[/tex]

[tex](3.1)(-1.6)=(-1.6)(3.1)[/tex]

Step 2 - Apply distributive property [tex]a(b+c)=ab+ac[/tex] by re-write 3.1=3+0.1

[tex](3.1)(-1.6)=(-1.6)(3+0.1)[/tex]

[tex](3.1)(-1.6)=(-1.6)(3)+(-1.6)(0.1)[/tex]

Step 3 - Solve the multiple,

[tex](3.1)(-1.6)=(-4.8)+(-0.16)[/tex]

Step 4 - Add the terms,

[tex](3.1)(-1.6)=-4.96[/tex]

Therefore, In Step 2 the expression is Option 4 is correct.

Answer:

b 3

Step-by-step explanation:

3x is the lope

Answer:

top left is 3/10

top right is 5/10 or 1/2

bottom left is 5/100

bottom right 25/100 or 1/4

Step-by-step explanation:

So to do it, you need to see what place behind the decimal the number is. The one in the top left is in the tens place, so it is 3 over 10. The one on the top right could also be written as 1/2 because both 5 and 10 can be divided by 5 so you divide top and bottom by 5 and it is simplified. The ones that are in the hundreds place, have a hundred in the denominator. If there was a question with three numbers behind the decimal point it would have 1000 in the denominator because it is in the thousands place. I suggest using m a t h w a y its a helpful website for math

The answer is -116. I took the test

Each friend needs to collect $37.50 to reach the goal.

To find out how much money each friend needs to collect, Andrea followed these steps:

Andrea understood that there are four friends collecting money for dog food, which costs $150 in total.

Andrea decided to divide the total cost of dog food by the number of friends to find out how much each friend needs to collect.

Andrea divided the total cost ($150) by the number of friends (4):

$150 ÷ 4 = $37.50

Check: Andrea made sure her answer makes sense. Each friend will contribute $37.50, and since there are four friends, the total collected would be:

$37.50 × 4 = $150

The total collected indeed matches the cost of dog food.

Reflect: Andrea confirmed that each friend needs to collect $37.50.

Therefore, each friend needs to collect $37.50 to reach the goal.