The 4 step plan in math:
1. Identify the problem: Break down the problem into individual parts and identify what needs to be solved.2. Gather information: Research the topic and gather any necessary tools or resources.3. Plan a solution: Develop a plan to solve the problem by drawing diagrams, making charts or lists, and/or writing out equations.4. Solve the problem: Use the plan and information gathered to solve the problem and check the answer.Math Problem Solving: A 4 Step PlanMath problem solving can be a daunting task, but it doesn't have to be. By following a simple four-step plan, anyone can approach and solve math problems in an organized and efficient manner. The four steps to successful math problem solving are identifying the problem, gathering information, planning a solution, and solving the problem.
Identifying the problem is the first step to successful math problem solving. This step involves breaking down the problem into its individual parts and understanding what needs to be solved. It is important to be thorough and get a good grasp of the problem before moving on to the next step.
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What is the GCF of:
4n. 16n2, 8n
Answer:
1st expression=4n
2nd expression=16n²=4n×4n
3rd expression=8n=2×4n
so
GCF=4n
A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.
Answer:
659.6 ft
Step-by-step explanation:
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet
In the following diagram, BC is parallel to DE.
What is the measure of X?
Angles are not necessarily drawn to scale
Answer:
Your answer would be 37°
Step-by-step explanation:
Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.
We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.
As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.
Hope this helps you!
The value of a house is 400,000 in 2015 and it doubles every decade. 1.If v is the value of the house,in dollars write an equation for v in terms of d, the number of decades since 2015.
Answer:
[tex]v=400,000 \times (2)^d[/tex]
Step-by-step explanation:
Given that,
The value of a house is 400,000 in 2015 and it doubles every decade.
Let v be the value of the house.
We need to find an equation for v in terms of d (the number of decades since 2015).
It shows that the function is exponential. So,
[tex]v=ab^d[/tex]
Where
a = Initial Value = 400000
b = rate = 2
d = number of decades
v = the current value of the home
So,
[tex]v=400,000 \times (2)^d[/tex]
!!!!!!!!! PLEASE HELP !!!!!!!!!!
Solve x² - 6x - 7 = 0
Answer:
x = 7, -1
Step-by-step explanation:
The probability that a student guesses the correct answer to a five-choice multiple choice question is P(correct)=0.2. How many correct answers should a student expect to guess on a test with 60 five-choice multiple choice questions?
Answer:
12 correct answers
Step-by-step explanation:
It is given that :
The probability of a student guessing the correct answer for a five choice multiple choice question is [tex]$\text{P(correct)}=0.2$[/tex]
Number of multiple choice questions = 60
So the number of correct answers that a student are expected to guess correctly on the test is :
[tex]$=60 \times 0.2$[/tex]
= 12
i will mark brainliest if you’re correct!!!
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!
Answer:
2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536
2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748
Step-by-step explanation:
The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.
2a:
a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}
a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}
a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.
a₈ = -1536
2b:
a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)
a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}
a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}
a₈ = 8748
Q26. Division A has 15 students and division B has 20 students. Average score of students in division A is greater by 2 as compared to the average score of students in division B. The total marks of all the students in divi- sion B is 160 more than total marks of all the students in division A. Find the average marks of students in division A
Step-by-step explanation:
Let a be the total score of Div. A
Let b be the total score of Div. B
given,
[tex] \frac{a}{15} - \frac{b}{20} = 2[/tex]
as equation 1.
and
[tex]b - a = 160 \\ - a + b = 160[/tex]
as equation 2.
Now multiply equation 2 by 1/20 to eliminate b to solve for a.
[tex] ( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8[/tex]
take this new equation as equation 3.
now we will use equation 1 + equation 3 to eliminate b to solve for a.
[tex] ( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600[/tex]
Div.A total score = 600
Average Score = Total Score / Number of students.
[tex] \frac{600}{15} \\ = 40[/tex]
A recipe that serves 8 calls for 2 ½ cups of flour. How many cups of flour should you use if you want to adjust the recipe to make 12 servings?
Answer:
3 3/4 cups of flour
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
8 2.5 cups
------- = ----------------
12 c
3 3/4 cups of flour to adjust the receipt as described.
Someone plz help me
Answer:
a
Step-by-step explanation:
1. Mike has 43 books in his library. He bought several books at a yard sale over the weekend. He now has 67 books in his library. How many books did he buy at the yard sale?
2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie?
3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?
4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today?
5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?
6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?
7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear?
8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars?
9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill?
10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn?
I need your help.
Answer:
1- 24
2- $96
3- $7.75
4- 37
5- 11
6- 54
7- $38
8- 12
9- $46
10- 59
Given f(x) = {(4 - x)?, what is the value of f(16)?
Record your answer and fill in the bubbles on your answer document.
f(16) = -5592404
9514 1404 393
Answer:
48
Step-by-step explanation:
Put 16 where x is and do the arithmetic.
f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)
f(16) = 48
Can someone please solve this for me
Two parallel lines have same slopes so we need to find the slope of the line which passes through the given points.
Suppose : A = ( - 2 , 7 ) & B = ( 4 , 4 )
Slope = y ( B ) - y ( A ) / x ( B ) - x ( A )
Slope = 4 - 7 / 4 - ( - 2 )
Slope = - 3 / 4 + 2
Slope = - 3 / 6
Slope = - 1 / 2
------------------------------------------------------------
As you know The coefficient of x is the slope of the line in slope-intercept form.
Thus we have to find the option which x has - 1 / 2 as the coefficient .
Look we have that in D so the correct answer is D .
Solve the inequality. g + 6 > 5
Answer:
g > -1
Step-by-step explanation:
g + 6 > 5
You want g alone on the3 left side.
6 is being added to g, so subtract 6 from both sides of the inequality.
g + 6 - 6 > 5 - 6
g > -1
=
In the figure below, C is between A and D, and B is the midpoint of AC. If BD=11 and BC=8, find AD.
Answer:
AD = 19
Step-by-step explanation:
Here, we want to find the length of AD
To do this, we will use the illustration drawn below in the attachment
Since B is the midpoint of AC, and BC = 8; then AB will also be 8
Mathematically;
AD = AB + BD
AD = 8 + 11
AD = 19
(1)/(8)-1(7)/(8) please help
Answer: -0.75
1/8 - 1(7)/8 = -3/4= -0.75
Answer:
[tex]\frac{1}{8} -1\frac{7}{8}[/tex]
[tex]\frac{1}{8} -\frac{15}{8}[/tex]
[tex]\frac{1-15}{8}[/tex]
[tex]-\frac{14}{8}[/tex]
[tex]-\frac{7}{4}[/tex]
[tex]-1\frac{3}{4}[/tex]
Step-by-step explanation:
find the value of x. pls and thank you quickly
Answer:
X=4Step-by-step explanation:
[tex]\frac{X}{2} =\frac{X+2}{3} \\\\3x=2x+4\\\\x=4[/tex]
hope it helps....
If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for π. Round to the nearest whole number if necessary.
Answer: 15
Step-by-step explanation:
The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15
The radius of the inflated beach ball is equal to 58 inches.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given: The volume of the sphere is 14,310 inches³
we know the volume of the sphere is 4/3 πr³
Thus equating we get
4/3 × 3.14×r³=14310
r³=3417.99
r³=3418
r=58.463 or 58 (approx)
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The value of y is proportional to x. When x=3 , then y = 15. Which equation represents the relationship between x and y?
A.y=5x
B.y=12x
C.y=0.2x
D.y=45x
Answer:
A. y = 5xStep-by-step explanation:
Direct proportion equation:
y = kx, where k is the coefficient of proportionalityWe have:
x = 3 and y = 15Using the equation to find the value of k:
15 = 3kk = 15/3k = 5The equation of the line:
y = 5xCorrect choice is A
Every month, $80 is withdrawn from tom's savings to withdrawn no more than $240. For how many months can tom pay for his gym membership?
Tom can pay for _______ (here are the choices)
•less than
•more than
•no less than
•no more than
Tom can pay for (the choice above) _____ months of his membership.
This is a one-step inequality btw
Find the value of x if 2x = 20 .
Answer:
x = 10
Step-by-step explanation:
Divide both sides by 2.
(2x) / 2 = 20 / 2
x = 10
Answer:
The answer is going to be 10.
Step-by-step explanation:
1) Diving both sides by 2.
[tex]x = \frac{20}{2} [/tex]
2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.
[tex]x = 10[/tex]
Therefor, the answer for x is x = 10.
Solve for x.
SHOW WORK!
Answer:
6
Step-by-step explanation:
1)
-2+12x = 11x+4 [ corresponding angle formed by two parallel lines are equal ]
2)
NOW, Simple simplify....
Help me please I’ll mark brainliest!!!!
Answer:
1.5
Step-by-step explanation:
Solve the following quadratic equation for all values of xx in simplest form.
17-2x^2=-21
Answer:
17-2x^2=-21
Step-by-step explanation:
17-1x=-21
17-21=x
-4=x/x=-4
The value of a new $5400 sailboat decreases 10% per year. Find its value after 5 years. Round to the nearest penny.
Answer:
FV= $3,352.98
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,400
Number of periods (n)= 5 years
Interest rate (i)= 10%
To calculate the future value (FV), we need to use the following formula:
FV= PV / (1 + i)^n
FV= 5,400 / (1.1^5)
FV= $3,352.98
Find the area of each figure and round to the nearest tenth if necessary
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
Geometry problem, please help ASAP
Answer: 255.988°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent(side), H=hypotenuse)
They gave us the quest to find the adjacent side, so we can cross off SOH. The angle of elevation is 38 and the angle is adjacent to the right angle(side) and they gave us the opposite which is 200. Now we can also cross off the CAH because they didnt give us or ask for the hypotenuse. SO now solving time.
tan(38)=[tex]\frac{200}{x}[/tex], since x is on the bottom we switch.
x=[tex]\frac{200}{tan(38)}[/tex]
x=255.988°
What is the solution to 3/4 a >-16?
Answer:
a
Step-by-step explanation:
you were right.
hope this helps
The coordinates of three corners of a rectangle are A(2, 3), B(-5,3), and C(-5, -2).
Part A
Plot points A, B, and C. Plot the fourth corner, D, and give its coordinates. What are D's Coordinates?
Answer: I took a screen shot of your answer hope this helps
Step-by-step explanation:
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