If x = 15 units, y = 18 units, z = 9 units, and h = 12 units, then what is the surface area of the triangular prism shown above?
A. 432 units2 B. 972 units2 C. 864 units2 D. 648 units2
The surface area of a triangular prism is 648 square units.
What is the surface area of a triangular prism?The surface area of a triangular prism is
= (perimeter of the base triangle × length) + (2 × base area of the triangle)
Given, the area of the base triangle is
= (1/2) × y × h square units
= (1/2) × 18 × 12 square units
= (1/2) × 216 square units
The perimeter of the base triangle is
= (x + x + y) units
= (15 + 15 + 18) units
= 48 units
Length = z = 9 units
Therefore, the surface area of the triangular prism is
= [(48 × 9) + 2 × (1/2) × 216] square units
= 648 square units
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Bonnie and Bobby are saving money for vacation. Bonnie has $12 and saves $4 per week.
Bonnie made a table to show how much she saves in a given week.
Bobby has $4 and saves $12 per week.
Bobby wrote an equation to determine how much he saves in a given week.
y=12x+4
After saving for a certain number of weeks, Bonnie and Bobby will have each saved the same amount of money. How much money will they have each saved then?
Find the percent change from the first value to the second.
Topic: Equations with Mixed Operations Quiz
The product of 9 and a number is 12 less than three times that number.
What is the number?
_____
I can only Write 4 Numbers so it need the Whole Number Answer
The number is 9.
To find the number, we can set up an equation based on the given information. Let's denote the number as [tex]\( x \)[/tex]. According to the problem, the product of 9 and the number is 12 less than three times that number. This can be written as an equation:
[tex]\[ 9x = 3x - 12 \][/tex]
Now, we need to solve for [tex]\( x \)[/tex]. First, we can subtract [tex]\( 3x \)[/tex] from both sides of the equation to get all the [tex]\( x \)[/tex] terms on one side:
[tex]\[ 9x - 3x = 3x - 12 - 3x \][/tex]
[tex]\[ 6x = -12 \][/tex]
Next, we divide both sides by 6 to isolate [tex]\( x \)[/tex]:
[tex]\[ \frac{6x}{6} = \frac{-12}{6} \][/tex]
[tex]\[ x = -2 \][/tex]
However, the question specifies that only a whole number answer is required, and we can only write 4 numbers. Since the answer [tex]\(-2\)[/tex] is a whole number and consists of only 2 numbers, we can consider it as the correct answer within the given constraints. But if we strictly follow the instruction to write only 4 numbers, we can write the answer as [tex]\(-0002\)[/tex], which includes 4 numbers and still represents the whole number [tex]\(-2\)[/tex].
How do you solve equations using multiplication and division
The graph shows the cost of buying dried fruit. What is the slope of the line and what does it mean in this situation?
An elevator starts at the top floor of an office building, which is 37.8 meters above the ground. It travels to the parking garage 12.3 meters underground. How many meters did the elevator travel?
What is the ratio 18 to 27 written as a fraction in lowest terms?
Answer:
2/3
Step-by-step explanation:
I took the quiz
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription
After accounting for new subscriptions and cancellations, the website has 230 current subscribers, resulting in a total monthly revenue of $1150 from subscriptions.
Explanation:The question involves a straightforward mathematical problem concerning subscription counts and fee calculations for a website, which is typically a topic covered under basic arithmetic or algebra in middle school mathematics. To answer the student's query, we need to calculate the new number of subscribers after accounting for the 40 new members who joined and the 10 members who cancelled their subscription. The initial number of subscribers was 200. With 40 new subscribers joining and 10 unsubscribing, the new total number of subscribers is given by:
Initial subscribers + New subscribers - Unsubscribed members
200 + 40 - 10 = 230
Next, we calculate the total subscription fee revenue for the current month by multiplying the number of subscribers by the monthly subscription fee which is $5:
Total revenue = Number of subscribers × Subscription fee per subscriber
Total revenue = 230 × $5 = $1150
Therefore, the revenue from subscriptions for this month is $1150.
Cassandra has a rectangular patio in her backyard. the pation is 12.74 meters long and 5.45 meters wide. round the length and width to the nearest whole number then estimate the perimeter of cassandras patio write an equation to model your work.
Answer: Perimeter of backyard is 36 m.
Step-by-step explanation:
Since we have given that
Length of rectangular backyard = 12.74 meters
Width of rectangular backyard = 5.45 meters
We need to estimate to the nearest whole number.
So, 12.74 → 13 meters
5.45 → 5 meters
So, Perimeter of rectangular backyard is given by
[tex]2\times (length+width)\\\\=2\times (13+5)\\\\=2\times 18\\\\=36\ m[/tex]
Hence, perimeter of backyard is 36 m.
The population density of each state. Round to the nearest tenth
Answer:
Population density is defined as the number of people per square unit of an area.
1. California = [tex]\frac{36500000}{163707}[/tex] ≈ 223 people per square mile.
2. Florida = [tex]\frac{18300000}{65758}[/tex] = 278.3 people per square mile.
3. Iowa = [tex]\frac{2990000}{56276}[/tex] = 53.13 people per square mile.
4. New Jersey = [tex]\frac{8690000}{8722}[/tex] = 1007.9 people per square mile.
5. Wyoming = [tex]\frac{522000}{97818}[/tex] = 5.3 people per square mile.
anna writes the decimal 0.15 byran says he can write a decimal smaller that anna's using the digits 1 and 5. is he correct?
Jeanette ' s sister charges $5.50 per hour before 9:00 P.M for babysitting and $8 per hour after 9:00 P.M .She finished babysitting at 11:00 P.M and earned $38 . At what time did she begin babysitting ?
what is the least common multiple of 5 and 10
The Clark family must pay $2,820 in property tax on their home this year. The house payment $752 per month. What is their payment each month with the tax? Assume that the tax is paid in equal monthly installments.
Answer:
Step-by-step explanation:
First, you must find how much they pay in one month, not including tax. Since there are 12 months in a year, you have to do 2820/12 to get 235.
Next, you must add the quotient to 752, which they pay in one month. 235+752=987. They pay $987 in one month.
Which figure is not a polygon?
A.
Figure A
B.
Figure B
C.
Figure C
D.
Figure D
Answer:
figure B
Step-by-step explanation: because polygons cant have round surfaces
Find 235×124. Use the same strategy that you used for multiplying by a two-digit number except include multiplying by the hundreds place
Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is _____ square inches.
Answer:
The answer is 74
Step-by-step explanation:
I got this answer by multiplying 10x10=100 then I did 6x8=48 then I added them and got 148, then I divided it by 2 and got 74. I hope this helps!!!
Answer:
74
Step-by-step explanation:
512+270 is the same as 500 + ______
if a 14 karat gold necklace weighs 1.8 ounces how many ounces of pure gold does it contain
write a power whose value is greater than 1000
The value 10⁴ will be having a value greater than 1000.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
The value of 1000 can be written as,
1000 = 10³
If we want a bigger value than 10³ we can add one more exponent as 10⁴.
10⁴ = 10000 > 1000
Hence "The value 10⁴ will be having a value greater than 1000".
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When someone donated 14 gallons of paint to Rosendale Elementary School, the fifth grade decided to paint a mural. They split the gallons equally among the four classes. How much did each class have to paint their mural?
camila make 6 frames with 4 seashells each. she has 3 shells left over. how many shells did she start with
please help me quickly!!
A basketball player guesses her team will score 57 points during the game. The player's team actually scores 63 points.
What is the percent error in the player's guess?
Round your answer to the nearest tenth of a percent.
Answer: The percent error in the player's guess is 9.5%.
Step-by-step explanation: Please mark me brainliest
The percent error in the player's guess is 10.5%.
Explanation:The percent error in the player's guess is 10.5%.
To calculate percent error:
Find the absolute difference between the actual value and the estimated value: 63 - 57 = 6.Calculate the percent error by dividing the absolute difference by the actual value, then multiplying by 100: (6 / 63) x 100 = 9.52% ≈ 10.5%.3x-7>5
Find the solution, please show your work. Thank You!1
What are the common multiples of 2,5 and 10?
THIS IS WORTH 55 POINTS,SO ANSWER WISELY!
what is the quotient of -4/5 divided by 2
What is 3/17/18+(4/5/6-1/7/9) how do you do it show me steps
(*3 whole number 17 numerator 18 denominator) (*4 whole number 7 numerator 9 denominator) (1 whole number 7 numerator 9 denominator) Thx or Thank You
Which linear inequality is represented by the graph?
Answer:
The correct options are 1, 3, 5 and 6.
Step-by-step explanation:
The given inequality is
[tex]y<0.5x+2[/tex]
A point is the solution of a linear inequality, if it satisfy the inequality.
The given point is (-3,-2). Check whether this is a solution or not.
[tex](-2)<0.5(-3)+2[/tex]
[tex]-2<0.5[/tex]
This statement is true. Therefore (-3,-2) is a solution.
The given point is (-2,1). Check whether this is a solution or not.
[tex](1)<0.5(-2)+2[/tex]
[tex]1<1[/tex]
This statement is false. Therefore (-2,1) is not a solution.
The given point is (-1,-2). Check whether this is a solution or not.
[tex](-2)<0.5(-1)+2[/tex]
[tex]-2<1.5[/tex]
This statement is true. Therefore (-1,-2) is a solution.
The given point is (-1,2). Check whether this is a solution or not.
[tex](2)<0.5(-1)+2[/tex]
[tex]2<1.5[/tex]
This statement is false. Therefore (-1,2) is not a solution.
The given point is (1,-2). Check whether this is a solution or not.
[tex](-2)<0.5(1)+2[/tex]
[tex]-2<2.5[/tex]
This statement is true. Therefore (1,-2) is a solution.
The given point is (1,2). Check whether this is a solution or not.
[tex](2)<0.5(1)+2[/tex]
[tex]2<2.5[/tex]
This statement is true. Therefore (1,2) is a solution.
Thus the correct options are 1, 3, 5 and 6.
the quotient of fifty and five more than a number is ten. write as an algerbraic equation
Answer:
0
Step-by-step explanation:
First we list it out:
50/x+5=10
which means x has to be 0 b/c 0+5 is 5, and 50/5 is 10.
Hope it helps
Have a great day
BTW u spelled Algebraic wrong!!!
Final answer:
The algebraic equation based on the given information is 50 / (x + 5) = 10, which can be solved by first multiplying both sides by (x + 5).
Explanation:
The student's question can be converted into an algebraic equation. If ‘x’ represents the unknown number, the phrase “five more than a number” translates to “(x + 5).” The “quotient of fifty and (x + 5)” implies division, so we express this as “50 / (x + 5).” According to the information provided, this quotient is equal to ten. Hence, the algebraic equation reflecting the student's question is:
50 / (x + 5) = 10
To find the value of ‘x’ that satisfies this equation, you would solve it by multiplying both sides by (x + 5) to get rid of the denominator, which gives us:
50 = 10(x + 5)
This can then be simplified to find the value of ‘x’.