Answer:
Perimeter:
18+4x+12+5x
=30+9x
Part B:
30+9(2)
=30+18
=48
Answer:
Part A: 30 + 9x
Part B: 48
Step-by-step explanation:
Part A:
18 + 5x + 4(x + 3)
Use distributive property
18 + 5x + 4x + 12
Combine like terms
30 + 9x
Part B:
x = 2
30 + 9(2)
Use PEMDAS
30 + 18
48
Six times the sum of a number and 8 is 30
Answer:
The sum is -3
Step-by-step explanation:
6(sum+8)=30
=6sum+48=30
=6sum=-18
=Sum=-3
Which of the following points lie on a line that passes through the origin with a slope of −25? Select all that apply. Multiple select question. cross out A) (0, 0) cross out B) (1, −25) cross out C) (−2, 5) cross out D) (−1, 25) cross out E) (4, 10) cross out F) (−5, 2)
The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
What is the general equation of a straight line?The general equation of a straight line is : y = mx + c.
[m] is called slope and it tells the unit rate of change in [y] with respect to [x].
[c] is called the [y] - intercept.
We have some points that lie on a line that passes through the origin with a slope of −25.
The equation of a straight line that passes through the origin and has slope of -25 will be -
y = - 25x
The points that will lie on the line will be -
(0, 0) , (1, - 25) , (- 1, 25)
Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).
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David loves to read. He is able to read 90 pages in 3 hours and 120 pages in 4 hours.
Based on this information, how many pages is David able to read per hour?
O A. 30 pages per hour
B. 60 pages per hour
C. 90 pages per hour
D. 150 pages per hour
Students in 7th grade took a standardized math test that
they also had taken in 5th grade. The collected data
showed that in two years the median increased by three
points, and the mean increased by around two and a half
points. In terms of the context, what can you infer?
Answer:
Step-by-step explanation:
students in 7th grade took a standardized math test that they also had taken in 5th grade. the collected data showed that in two years the median increased by three points, and the mean increased by around two and a half points. In terms of the context, that proves that there is overall improvement in the grades of students.but there is a small difference between mean increase and median increase. While median increased 3 points, mean increased only by 2.5 points. This implies there exists unusually low level iq students who had unusually low score thus affecting mean to be low.special training should be given to those students.
Answer:
In general, the students increased their standardized math scores from 5th grade to 7th grade. The students might be more familiar with the exam and they have learned more in their math classes.
Step-by-step explanation:
that is the sapmle response on edg.
Please help this question is asking about the volume of a hemisphere and cylinder?
Answer:
pppppppppppppppppppppppppppppppppppppppppp
Each of students reported the number of movies they saw in the past year. Here is what they reported.
11,6 ,9 ,16 ,12 ,18 ,14
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
18+16+14+12+11+9+6=8686÷7=12.2812.28=13Answer:
12.3
Step-by-step explanation:
11+6 +9 +16 +12 +18 +14 =86
86/7 = 12.28571
Tenths is the place value of the digit that appears after the decimal. It represents the 1/10 position of the digit
(12.3) rounded to the nearest tenth.
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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What is the product of the binomials below?
(5x + 2)(4x + 4)
A. 20x2 +28x+6
O B. 20x2+28x+8
O C. 9x2 +28x+6
O D. 9x2 +28x+8
Step-by-step explanation:
everything can be found in the picture
Help pls no links I'll give briliantest to who ever gives me the right answer
Answer:
A. 57 7/9
Step-by-step explanation:
4 1/3 x 3 1/3 = 14 4/9
14 4/9 x 4 = 57 7/9
3/4 - 4x + 1/2x - 1/2 + 1/2x Combine the like terms to simplify. Show your work
If you mean,
\( \frac{3}{4} - 4x + \frac{1}{2} x - \frac{1}{2} + \frac{1}{2}x\)
Then the answer would be,
\( \frac{1}{4} - 3x\)
But if you mean,
\( \frac{3}{4} - 4x + \frac{1}{2x} - \frac{1}{2} + \frac{1}{2x} \)
Then the answer would be,
\( \frac{1}{4} - 4x + \frac{1}{x} \)
Mme potatana ask the children to count as a whole class from 1 to 20 Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count. in your view support the method that you find important to enhance the strong number sense. Provide appropriate examples for your chosen method.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
In order to enhance strong number sense in children, there are various methods that can be used.
In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.
Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.
This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.
Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:
1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.
2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.
3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.
Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
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▪ For every 8 multiple-choice questions on Minnie's math
test, there are 5 short-answer questions. How many multiple-choice and short-answer questions are on a test with 65 question
The number of multiple-choice and short-answer questions on a test with 65 questions will be 40 and 25 respectively.
Numerical calculationTo determine the number of multiple-choice and short-answer questions on a test with 65 questions, we can set up a proportion based on the given ratio:
Multiple-choice questions : Short-answer questions = 8 : 5
Let x be the number of multiple-choice questions.
Let y be the number of short-answer questions.
Using the proportion, we can set up the following equation:
8/5 = x/y
8y = 5x
x = (8y)/5
Since the total number of questions on the test is 65, we have the equation:
x + y = 65
Substituting the expression for x from the previous equation:
(8y)/5 + y = 65
(8y + 5y)/5 = 65
13y/5 = 65
13y = 65 * 5
13y = 325
Dividing both sides by 13:
y = 325/13
y = 25
Substituting this value of y back into the equation x = (8y)/5:
x = (8 x 25)/5
x = 40
Therefore, there are 40 multiple-choice questions and 25 short-answer questions on the test with a total of 65 questions.
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An employer pays you penny the first day you work and doubles your wages each day after that: Find your total earnings after working 7 days a week for (a) One week (b) Two weeks (c) Three weeks (d) Four weeks
Length of a rectangle is 8 inches and width of it is 3 inches. What is the area?
Answer:
24
Step-by-step explanation:
8 times 3=24
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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Write the ratio in simplest form.
14:28?
How do I do that?
Answer:
2/3 is simplest form
Step-by-step explanation:
you find the greatest common factor of both numbers, in this case it is 7. Then, you divide both numbers by the greatest common factor to get the simplest form.
hope this helps ☺
Answer:
2/3 is
Step-by-step explanation:
!!i’ll give brainlist!!
Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)
QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR
Answer:
- x(- 8x^2 + 3x)
8x^3 - 3x^2
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
Brandon treated his friends to lunch which cost him $32.60. He left a 20% tip for the waitress. How much was his total bill including tip?
Answer:
39.12
Step-by-step explanation:
First you find 20% of 32.60
32.6 * 20/100
32.6 * 0.2
= 6.52
So the tip is $6.52
Add the tip and the regular cost
32.60 + 6.52 = 39.12
$39.12 is the total amount he paid
what is relative intrest
Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.
1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.
2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.
3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.
4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.
5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.
6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.
Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.
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in the form, y=a(1+r)^t PLEASEEEEEE
Answer:
y
a= ——
(r + 1 )t
Step-by-step explanation:
divide both sides
Jane has 6/7 of a yard of ribbon. She uses 3/4 of a yard to trim an ornament. how much ribbon is left?
Answer:
2/28
Step-by-step explanation:
A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Answer:
153.86 in^3
Step-by-step explanation:
Given data
A circular placemat has 44 inches of braid around the edge
hence the circumference of the placemat is 44 in
C= 2πr
44= 2*3.14r
r= 44/2*3.14
r= 44/6.28
r= 7.00 in
Area= πr^2
Area= 3.14*7^2
Area= 3.14*49
Area= 153.86 in^3
Hence the area is 153.86 in^3
There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and received prizes. How many received prizes?
Please Answer In English
No link Kailangan ko na po ngayon!! :)
Answer:
8 pupils received prices
Step-by-step explanation:
20% of 40 = 8 (8 boys)
15% of 20 =3 (3 girls)
8+3 = 11
Answer:
21 pupils received the prizes.
Step-by-step explanation:
20% +15% =35%
35/100 of 60 =21.
Prove the Converse of the Pythagorean Theorem
In this activity, you will prove and apply the converse of the Pythagorean theorem. Recall that the
converse states that if the square of the length of the longest side of a triangle is equal to the sum of
the squares of the other two sides, then the triangle is a right triangle.
Open the GeoGebra activity to complete each step below. For help, watch these short videos about
using GeoGebra to measure and create points, lines, and anglese.
Question 1
Part A
Draw AABC with vertices at A(1,6), B(1, 1) and C(5,1). In this triangle, AB²+ BC² = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E
Paste a picture of your drawing in the answer box.
= 90°, and EF
BC.
B I U X² X2 15px
AVA
E E g = = 三 四 V 田
=
The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.
To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.
AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5
BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4
AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)
Now, let's check if AB^2 + BC^2 = AC^2:
AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41
AC^2 = (2sqrt(10))^2 = 4(10) = 40
Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.
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A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel and additional 247 kilometers?
Answer:
The motorist's rate is:
rate = distance / time
where distance is measured in kilometers and time is measured in hours.
We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:
rate = distance / time = 228 km / 6 hours = 38 km/hour
To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:
time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours
Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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11. Albert has 12 more 10 cent coins than 20-cent
coins. The total value of all his coins is $5.40. Find
the total number of coins he has.
Step-by-step explanation:
Let x be the number of 10 cent coins
Let y be the number of 20 cent coins
given
\(x = y + 12 \\ x - y = 12\)
as equation 1
and
\(0.1x + 0.2y = 5.4\)
as equation 2.
Now we will use elimination method to solve simultaneous equations.
Now we multiply equation 1 by 0.2 to eliminate y and solve for x first.
\(0.2 \times x - 0.2 \times y = 12 \times 0.2 \\ 0.2x - 0.2y = 2.4\)
Let this new equation be equation 3.
Now use equation 2 + equation 3.
\(0.1x + 0.2x + (0.2y + ( - 0.2y)) = 5.4 + 2.4 \\ 0.3x = 7.8 \\ x = 7.8 \div 0.3 \\ = 26\)
Substitute x into equation 1,
\(x = y + 12 \\ y + 12 = x \\ y = x - 12 \\ = 26 - 12 \\ = 14\)
Therefore total number of coins = x + y = 26 + 14 = 40
Answer:
in total he has 62 cents
Step-by-step explanation:
I hope it's the correct answer if I'm wrong tell me right away.
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.