Use a five-step plan to solve the following word problem. Show all five steps in your response:


Doug is twice Anne's age. Doug is 34 years old. How old is Anne?

Answer:

Michelle has a higher batting average with 0.475

Step-by-step explanation:

Batting average is equal to the number of hits divided by the number of times at bat:

First, we have to know the batting average of both players:

Eva:

Hits = 42

Times at bat = 90

Now we divide to get the batting average:

42/90 = 0.466

Michelle:

Hits = 38

Times at bat = 80

Now we divide to get the batting average:

38/80 = 0.475

Michelle has a batting average of 0.475 compared to Eva's which is a 0.466, so Michelle's has a higher batting average.

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:

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:

b 3

Step-by-step explanation:

3x is the lope

Answer:

The capacity to acquire certain skills

Step-by-step explanation:

Answer:

d)Before cooling begins, the temperature of the water is 22°C

Step-by-step explanation:

Given equation that shows the temperature of the bowl after t minutes,

[tex]D=-\frac{7}{5}t+22[/tex]

Initially ( when ice is not placed ) t = 0,

So, the temperature of the water,

[tex]D=(0) + 22 = 22^{\circ}[/tex]

i.e. Option d) is correct.

If t = 7 minutes,

The temperature would be,

[tex]D=-\frac{7}{5}\times 7+22[/tex]

[tex]=-\frac{49}{5}+22[/tex]

[tex]=-\frac{49+110}{5}[/tex]

[tex]=\frac{61}{5}[/tex]

[tex]=12.2^{\circ}C[/tex]

So, the change in temperature = 12.2° - 22° = -9.8°,

Thus, option a) is incorrect.

If x = 5 minutes,

The temperature would be,

[tex]D=-\frac{7}{5}\times 5+22=-7+22 = 15^{\circ}[/tex]

Change in temperature = 15° - 22° = -7°,

So, Option b) is incorrect.

∵ The temperature of the ice must be less than 22°,

Thus, option c) is incorrect.

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.

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

Step-by-step explanation:

if F=ma

therefore m will be equal to dividing a

f/a=m

therefore mass is force divided by acceleration.

Answer:

the anwser would be 12 and 168

Final answer:

To solve the equation 2q + 10 = 7q, subtract 2q from both sides and then divide by 5, resulting in q = 2.

Explanation:

To solve the equation 2q + 10 = 7q, you need to isolate the variable q on one side. Here are the steps you should follow:

Subtract 2q from both sides to get all q terms on one side of the equation: 2q + 10 - 2q = 7q - 2q, which simplifies to 10 = 5q.

Divide both sides by 5 to solve for q: 10 / 5 = 5q / 5, resulting in q = 2.

Therefore, the value of q that solves the equation is 2.

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:

The answer is 94.

Step-by-step explanation:

In order to determine the answer, we have to know about the mean of a group of values. When we need to calculate the mean, first we have to sum all the values. Then, we have to divide this result by the amount of datas.

In this case, we have 8 datas of differents bowling scores.

The sum of all values is:

[tex]74+88+89+95+99+100+101+106=752[/tex]

Finally, the mean is:

[tex]Mean=\frac{752}{8}= 94[/tex]

The mean for the data is 94.

Answer: [tex]45781.2\text{ cm}^3 [/tex]

Step-by-step explanation:

From the given picture, the diameter of the base of cylinder = 12 cm

i.e. the radius of the cylinder =[tex]r=\dfrac{12}{2}=6\ cm[/tex]

Height = 15 cm

If the dimensions of the following cylinder are tripled, then the radius of cylinder =[tex]3\times6=18\ cm[/tex]

Height=[tex]3\times15=45\ cm[/tex]

We know that the volume of a cylinder is given by :-

[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\\text{Volume}=(3.14)(18)^2(45)\\\\\Rightarrow\text{Volume}=45781.2\text{ cm}^3 [/tex]

Michael made approximately $4.08 per lawn by dividing the total earnings of $159 by the total number of lawns 39 he mowed.

To find out how much Michael made per lawn, we need to divide the total amount of money he earned by the number of lawns he mowed. Michael earned $159 over the summer and mowed 39 lawns. Therefore, we calculate the earnings per lawn using the following equation:

Earnings per lawn = Total money earned \/ Number of lawns mowed

Earnings per lawn = $159 / 39

Now, let's do the calculation:

Earnings per lawn = $4.0769...

To provide an approximate value, we round the amount to the nearest cent, which gives us an answer of approximately $4.08 per lawn.

Answer:4.8 days =6956

Step-by-step explanation: