Answer:
Formula:
The general formula for the surface area (SA) of a prism is:
SA = 2B + Ph
Step-by-step explanation:
where:
B is the area of one base (since there are two identical bases, we multiply by 2).
P is the perimeter of the base (the total length of all sides of the base polygon).
h is the height of the prism (the distance between the two bases).
Steps to Find the Surface Area:
Identify the base shape and calculate its area:
Depending on the type of prism (triangular, rectangular, etc.), use the appropriate formula to find the area of one base.
Find the perimeter of the base:
Add up the lengths of all the sides of the base polygon.
Calculate the lateral surface area:
Multiply the perimeter of the base (P) by the height of the prism (h). This gives you the total area of all the lateral faces.
Sum the areas:
Add the area of two bases (2B) you calculated in step 1 and the lateral surface area from step 3. This will be the total surface area of the prism.
Tips:
Make sure you identify the correct height of the prism. It's the perpendicular distance between the two bases, not the length of a slanted lateral face.
If the lateral faces are not all the same shape (e.g., a truncated prism), you might need to calculate the area of each lateral face separately and add them all up.
By following these steps and using the formula, you can find the surface area of any prism!
If Joyce reads 1/6 of her book on Monday, 2/5 of her book on Tuesday, and 1/3 of her book on Wednesday, what part of her book does she read?
Answer:
1/2 + 1/5 + 4/5 + 2/3 = 19/6=3 1/6
Hope that helps feel free to ask more questions
Brainliest??
Final answer:
Joyce has read 9/10 of her book over the course of three days by adding together the fractions of the book she read each day and simplifying the result.
Explanation:
To determine the part of the book Joyce has read over the three days, we need to add the fractions representing the parts read each day. On Monday, Joyce reads 1/6 of her book, on Tuesday she reads 2/5, and on Wednesday she reads 1/3. Thus, we add these fractions together.
The Least Common Denominator (LCD) for 6, 5, and 3 is 30. We convert each fraction to have this common denominator:
1/6 = 5/302/5 = 12/301/3 = 10/30Now, we sum the fractions:
5/30 + 12/30 + 10/30 = (5 + 12 + 10)/30 = 27/30
27/30 can be simplified to 9/10 after dividing both numerator and denominator by 3. So, Joyce has read 9/10 of her book over the three days.
SWEET T HAS 2 ORANGE PICKS FOR EVERY 5 GREEN. IF THERE ARE 21 PICKS IN ALL, HOW MANY PICKS ARE ORANGE?
Answer:
For 21 picks, there are 6 orange
Step-by-step explanation:
orange: green : total
2 5 2+5
2 5 7
If there are 21 picks, we need to divide by 7 to see how many times we need to multiply
21/7 = 3
Multiply everything by 3
orange: green : total
2*3 5*3 7*3
6 15 21
For 21 picks, there are 6 orange
Lucy is a dressmaker she says 4/7 of address in 3/4 of an hour at this rate how many dresses does Lucy sell in 1 hour
Answer:
She will sell aproximately 13 dresses sold in 1 hour.
Step-by-step explanation:
Answer:
16/21
Step-by-step explanation:
Ryan bought a guitar for $475.45. If he makes $9.25 per hour at his job, how many hours did he have to work to pay for the guitar? Explain how to find the answer and check it.
Answer: 51.4 hours
Step-by-step explanation: To figure out the answer to this equation you would divide the cost by how much you make, 475.45÷9.25=51.4
Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.
To find the number of hours Ryan had to work to pay for the guitar, we need to divide the cost of the guitar by his hourly wage.
Divide $475.45 (cost of the guitar) by $9.25 (Ryan's hourly wage):
$475.45 / $9.25
≈ 51.51
This calculation shows that Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.
To check the answer, multiply the number of hours (51.51) by Ryan's hourly wage ($9.25):
51.51 x $9.25 ≈ $476.33
The result is close to the cost of the guitar ($475.45), allowing for small discrepancies due to rounding or decimal approximations. Therefore, this confirms that Ryan would indeed need to work around 51.51 hours to cover the cost of the guitar.
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John is planning his trip using a map with a scale that is 1cm:40km. According to the map his destination is 3.8 cm from the city in which he is currently located. He has enough gas to travel 148km. Should he get gas before he leaves or will he make it to his destination. Explain your reasoning.
Answer:
He should get gas before leaves because if 1cm=40km 3.8=150km
Step-by-step explanation:
What is the mean for this set of data? 37 12 22 43 57 58 58 A. 41 B. 43 C. 46 D. 58
Answer:
The answer is 41
Step-by-step explanation:
37+ 12 + 22 + 43 + 57 + 58 + 58 = 287
287/7 = 41
plz somebody I need these and I'm failing math cause of these problems.
Answer:
1.A =113.04 cm^2
2.A =616 in^2
Step-by-step explanation:
To find the area of a circle we use the formula
A = pi * r^2 if we know the radius or
A = pi * (d^2/4) if we know the diameter
In problem 1 we know the radius
A = pi * r^2
A = pi * (6)^2
A = 36*pi
Using 3.14 for pi
A = 36* 3.14
A =113.04 cm^2
In problem 2 we know the diameter
A = pi * d^2/4
A = pi * (28)^2/4
A = pi 784/4
A = 196
Using 22/7 for pi
A = 196*22/7
A =616 in^2
Answer:
1. Area of the circle with 6 cm radius is [tex] 113.14 cm^2[/tex].
2. Area of the circle with 28 cm diameter is [tex] 616 cm^2[/tex].
Step-by-step explanation:
1. Radius of the circle ,r= 6 cm
Area of the circle , A= [tex]\pi r^2[/tex]
[tex]A=\pi (6 cm)^2=\frac{22}{7}\times 6 cm\times 6 cm=113.14 cm^2[/tex]
Area of the circle with 6 cm radius is [tex] 113.04 cm^2[/tex].
2. Diameter of the circle = d = 28 cm
Radius of the circle , r = [tex]\frac{28 cm}{2=14 cm[/tex]
Area of the circle , A= [tex]\pi r^2[/tex]
[tex]A=\pi (14 cm)^2=\frac{22}{7}\times 14 cm\times 14 cm=616cm^2[/tex]
Area of the circle with 28 cm diameter is [tex] 616cm^2[/tex].
One store sells milk for $3.00 per gallon. A second store sells milk for $0.80 per quart. Formulas If you need two gallons, which store should you buy from?
Answer:
You should buy from the first store
Step-by-step explanation:
Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.
So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk
Answer:
The first store.
Step-by-step explanation:
This is easy, multiply 0.80 x 4 since there are four quarts in a gallon. You get 3.20. Then, multiply 3.20 by 2 to get 6.40 and 3.00 by 2 to get 6.00.
So
Store number one: $6.00
Store number two: $6.40
It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work fourdays per week. He buys a bottle of water that costs $1.45 on his way to work each day. How muchdoes it cost Edgar to ride the bus and buy water for one week?
Answer:
$27 per week.
Step-by-step explanation:
Multiply:
$2.65 x 8 (twice per day)= $21.20
$1.45 x 4 (once oer day)=$5.80
Add those together to get $27 per week.
All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?
Answer:
5.5 h
Step-by-step explanation:
There is an inverse relationship between the time (t) it takes to do a job and the number (n) of workers (the more workers. the faster the work gets done).
t = k/n Divide both sides by n
t/n = k
If we have two different numbers of workers, then
t₁/n₁ = t₂/n₂ Multiply each side by n₂
t₂ = t₁ × n₁/n₂
t₂ = 22 × 1/4
t₂ = 5.5 h
Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or key chain. She wants to use at least 5 times as many key chains as thumb drives. She has 25 thumb drives and 200 key chains. Let x represent the number of key chains. Let y represent the number of thumb drives. Which inequalities are amoung the constraints for this situation
Answer:
x ≥ 5y
y ≤ 25
x ≤ 200
Step-by-step explanation:
It is given that Trisha wants to use at least 5 times as many key chains as thumb drives.
x represents the number of key chains and y represents the number of thumb drives.
Therefore, x ≥ 5y.
Total number of thumb drives is 25.
Therefore, y ≤ 25.
Total number of key chains is 200.
Therefore, x ≤ 200.
Answer:
x≥5y
x+y≥50
y≤25
A 5 foot woman stands near a 4 foot cello case. The cello case casts a shadow that is 6 ft long. How long is the shadow cast by the woman?
Your answer:
Answer:
Her shadow is 7.5 feet
Step-by-step explanation:
The ratios are the same so
Cello case height cello shadow
-------------------------- = ---------------------------
woman height woman shadow
4 6
__ = ___ cross multiply
5 x
4(x) = 6(5)
4x = 30
/4 /4
x = 7.5
the shadow of the woman will be 7.5 feet.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, A 5-foot woman stands near a 4-foot cello case. The cello case casts a shadow that is 6 ft long.
Since the shadows are made because of the light of the Sun. thus we will assume the Angle of Light source will be the same.
So In angles are the same then
Base and perpendicular will be in proportion as per the Pythagorean theorem
So,
Women's height/cello's height = Women's shadow/cello's shadow
=> 5/4 = women's shadow/ 6
=> women's shadow = 7.5 ft
Therefore, the shadow of the woman will be 7.5 feet.
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How do you solve this absolute value equation and inequality problem?
Answer:
r < -7 or r > 10
Step-by-step explanation:
-2|3 - 2r| < -34
|3 - 2r| > 17 (Note the inequality sign flips because we divide by negative)
Now we split it up into 2 inequalities :-
3 - 2r > 17
-2r > 14
r < -7 (answer)
and
3 - 2r < -17
-2r < -20
r > 10 (answer).
Answer:
r > 10 or r < - 7
Step-by-step explanation:
isolate the absolute value by dividing both sides by - 2
| 3 - 2r | > 17
Inequalities of the type | x | > a always have solutions of the form
x < -a OR x > a, hence
3-2r < - 17 or 3 - 2r > 17 ( subtract 3 from each interval )
- 2r < - 20 or - 2r > 14 ( divide both intervals by - 2 )
Remembering to reverse each inequality symbol as a result of dividing by a negative quantity.
r > 10 or r < - 7
13.09 to the nearest tenth
Answer:
13.1
Step-by-step explanation:
Note the place values
1 : tens
3 : ones
. (decimal point)
0 : tenths
9 : hundredths.
Solve for the tenths place value. Note the hundredth value, it is a 9
Because 9 is greater than 5, round up.
13.09 rounded to the nearest tenth is 13.1
~
To round 13.09 to the nearest tenth, we increase the tenths place by 1 since the hundredths place is 9. Thus, the number rounds up to 13.1.
The question asks to round the number 13.09 to the nearest tenth. To do this, we look at the hundredths place, which is 9 in this case. Since the digit in the hundredths place is 5 or more, we round the digit in the tenths place up. Therefore, 13.09 rounded to the nearest tenth is 13.1.
a laptop computer is purchased for $950. after each year the resale decreases by 30%. what will the resale value be after 5 years?
Answer: 153
I think the answer is 153 because you have to do 950-30 and then divide it by 30 after you do that you multiply it by 5 and get 153.000000...
So you round it to the nearest whole number and that's 153
The resale value of a laptop after 5 years with a 30% decrease in value each year, follows the step-by-step calculation provided.
The resale value of a laptop after each year decreases by 30%. To calculate the resale value after 5 years, we need to consider the decreasing value each year:
After 1 year: $950 - $950 x 30% = $665
After 2 years: $665 - $665 x 30% = $465.50
After 3 years: $465.50 - $465.50 x 30% = $325.85
After 4 years: $325.85 - $325.85 x 30% = $228.10
After 5 years: $228.10 - $228.10 x 30% = $159.67
10 1/2 quarts if there were 7 groups doing the experiment and each group used the same amount of water,how many quarts
did each group use
Answer:
they each used 1.5 quarts PLEASE GIVE BRAINLIEST
Step-by-step explanation:
10.5 ÷ 7 = 1.5 QUARTS FOR EACH GROUP
To find out the amount of water each group used, the total quantity of water, 10 1/2 quarts, should be divided by the number of groups, which is 7. This gives the result of each group using around 1.5 quarts.
Explanation:To find out how many quarts each group used in the experiment, you would need to divide the total amount of water by the number of groups. In this case, you would divide 10 1/2 quarts by 7 groups.
First, you need to convert the mixed number 10 1/2 to an improper fraction or a decimal. 10 1/2 equals 21/2 or 10.5 in decimal form.
So, 10.5 quarts divided by 7 groups equals approximately 1.5 quarts.
Therefore, each group used 1.5 quarts of water for their experiment.
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at first it increased by 25% and then decreased by 40%
Given question is incomplete; here is the complete question.
How did the temperature change if: at first it increased by 25 % and then decreased by 40% ?
Temperature will finally decrease by 25%.
Let the initial temperature is x° C,
If the temperature is increased by 25%,
Then the final temperature = x° + 25% of x°
= [tex]x+\frac{25x}{100}[/tex]
= [tex]x+0.25x[/tex]
= [tex]1.25x^\circ[/tex]
Followed by the decrease in temperature by 40%,
Then final temperature = 1.25x° - 40% of (1.25x°)
= 1.25x° - 0.5x°
= 0.75x°
Therefore, percentage decrease in temperature from initial temperature x°,
Percentage decrease = [tex]\frac{x^\circ-0.75x^\circ}{x^\circ}\times 100[/tex]
= 25%
Temperature will finally decrease by 25% when increased initially by 25% then decreased by 40%.
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Twenty five employees decide to chip in to buy a small refrigerator for the office. If the cost of the refrigerator is 275 how much does each person have to contribute
Answer:
Each employee will need to contribute $55.
Step-by-step explanation:
275 / 5 = 55
Answer:
275 / 25 = 11 25 goes into 275 11 times
Step-by-step explanation:
HELP ASAP!!!!!!
What is the solution of the system below?
x=-3y-4
-3y=2x-7
z=-6x+y
a. x=-5, y=11, z=-71
b. x=11, y=-71, z=-5
c. x=-71, y=-5, z=11
d. x=11, y=-5, z=-71
d. x=11, y=-5, z= -71
To solve the given system of equations, we use the method of substitution. The solution is x = 11, y = -5, z = -71.
Explanation:To find the solution of the given system, we can use the method of substitution.
From the first equation, we have x = -3y - 4. Substituting this value for x in the second equation, we get -3y = 2(-3y - 4) - 7.
Solving this equation, we find y = -5. Substituting this value of y back into the first equation, we can solve for x. Plugging in y = -5, we get x = 11. Substituting these values for x and y in the third equation, we can find z. Plugging in x = 11 and y = -5, we get z = -71.
Therefore, the solution to the system is x = 11, y = -5, and z = -71.
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On Sunday, a local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. The number of cheeseburgers was sold 2 times the number of hamburgers. How many hamburgers were sold?
Answer:
The number of hamburgers sold was 126.
Step-by-step explanation:
Let h = number of hamburgers sold
let c = cheeseburgers sold
c+h = 378
c = 2h
Substitute c =2h into c+h =278
c+h =378
2h+h = 378
Combine like terms
3h = 378
Divide by 3
3h/3 =378/3
h =126
The number of hamburgers sold was 126.
Final answer:
To determine how many hamburgers were sold, we set up a system of equations and found that 126 hamburgers were sold.
Explanation:
The local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. We are told that the number of cheeseburgers sold was 2 times the number of hamburgers. We can set up a system of equations to solve this problem using h to represent the number of hamburgers and c to represent the number of cheeseburgers:
h + c = 378 (the total number of burgers sold)
c = 2h (the number of cheeseburgers was 2 times the number of hamburgers)
Now let's substitute the second equation into the first to solve for h:
h + 2h = 378
3h = 378
h = 378 ÷ 3
h = 126
Therefore, the number of hamburgers sold was 126.
the sum of the measures of the n interior angles of an n-gon is
Answer:
(n-2) * 180
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon with n sides is
(n – 2)180
Which expression is equivalent to 3 square root 27x^18? 3x^3 3x^6 9x^3 9x^6
Answer:
3 x^6
Step-by-step explanation:
I believe you are asking for the cube root of (27x^18)
(27 x^18) ^ (1/3)
I will use the property (ab)^c = a^c * b^c
27 ^ 1/3 * x^18 ^ 1/3
Now I can use the property a^ b^ c = a^ (b*c)
3 * x^( 18* 1/3)
3 * x^ (6)
3 x^6
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 7272 pencils and 2424 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Answer:
He should have 3 pencils in each package.
Step-by-step explanation:
you would do 7272 divided by 2424 so that there is a pencil for each calculater.
Answer:
The number of pencils in each package is 3.
Step-by-step explanation:
The total number of pencils = 7272
The number of calculators = 2424
He has to create greatest number of package and the condition is he has to use all the calculator and pencils.
The minimum number is 2424 which is number of calculators, So he can create maximum of 2424 packages. He must use all 7272 pencils.
So to find the number of pencils, we need to divide the number of pencils by the number of calculators.
The number of pencils in each package = [tex]\frac{7272}{2424}[/tex] = 3
The number of pencils in each package is 3.
Which coordinate pair identifies the location of Point A?
Answer:
A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.
Step-by-step explanation:
Lyle bought 3/8 of red grapes and 5/12 pound of green grapes how many pounds of grapes did he buy
Answer: 19/24
Step-by-step explanation:
3/8
+
5/12
=
(3 × 12) + (5 × 8)
8 × 12
=
76/96
=
76 ÷ 4
96 ÷ 4
=
19/24
Solve for u. I need a little help.
Answer:
value of 'u'= -54
Step-by-step explanation:
[tex]30 = -\frac{5}{9}u[/tex]
To eliminate any number , we always do opposite operation
To remove denominator 9, we multiply both sides by 9
[tex]30*9 = -\frac{5}{9}*9*u[/tex]
270 = -5u
To remove -5 we divide by -5 on both sides
[tex]\frac{270}{-5} = \frac{-5u}{-5}[/tex]
-54= u
So value of u= -54
What is the value of x?
Answer:
D
Step-by-step explanation:
The diagonals of a rhombus intersect at right angles. So sneaky!!
So the third angle of the triangle containing the two base angles is 90 degrees.
2x + 3 + 3x + 2 + 90 = 180 Combine like terms5x + 95 = 180 Subtract 95 from both sides5x = 180 - 95 Combine the terms on the right.5x = 85 Divide by 5x = 85/5x = 17If you know this plz help me
Answer: This is a function
There are no repeated x values. Each x value is paired with exactly one y value. If you had an input of something like x = 3 lead to y = 5 and y = 8 at the same time, then it wouldn't be a function.
If you want, you can graph all five of these points, as is shown in the attached image below. You'll notice that it is impossible to draw a vertical line through more than one of these five points. The graph therefore passes the vertical line test to visually confirm we have a function.
four big water bottles can hold 8 gallons of water. How much water can ten big water bottles hold?
can you use the sas congruence postulate to prove that the two triangles ate congruent? explain your reasoning
Answer:
diagram and the SAS Congruence Postulate to prove the two triangles are congruent. Explain Henry's mistake. LOGICAL REASONING Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, tell which congruence postulate you would use.
Step-by-step explanation: