Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8
A triangular prism, with bases consisting of equilateral triangles of side length s, has height h and a volume of 250. If the surface area of the prism includes the areas of all the sides and the bases, what value of s minimizes the surface area of the prism
Answer:
10
Step-by-step explanation:
The required value of s to minimize the surface area of the prism is given as 10.
What is a triangular prism?A triangular prism has 2 triangles as their top and bottom and three other faces as rectangles. The volume of the prism is given as the product of its height and base area.
The given problem can be solved as follows,
The expression for the volume of the prism is given as,
V = √3/4 × s²h
Substitute V = 250 to obtain,
250 = √3/4 × s²h
⇒ s²h = 1000/√3 (1)
And, the expression for the surface area is given by,
A = 3 × sh + √3/4s²
Substitute h = 1000/(√3s²) in the above equation to obtain,
A = 1000√3/s + √3/4s²
In order to get the minimum area differentiate A with respect to s and equate it to zero to get,
dA/ds = 0
⇒ √3/2s - 500√3/s² = 0
⇒ s = 10
Hence, in order to minimize the area the the value of s is obtained as 10.
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GIVING 25 POINTS PLS HELP
Answer:
ok lol
Step-by-step explanation:
Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
yes it is a parallelogram because opposite sides parallel.
Can Somebody please help me?
First person to answer will get 100 points & Brainliest!
Answer:
heyyyyyy
Step-by-step explanation:
Bi-weekly mortgage is $576. Monthly phone charges are $44.95. The electric bill last month was $105.88. Groceries cost about $98/week. What is a good estimate of your monthly expenses?
$1,401.00
$1,127.00
$1,703.00
$827.00
Answer:
2nd one...............
Answer:
1,127.00
Step-by-step explanation:
The total cost overall is 1,118.83. However you can round and estimate it to 1,127.00
what is the y-intercept of the graph of the equation y=1/4x-2/3
Answer: -2/3 would be your answer my guy, hope that this helps you
Step-by-step explanation:
It is a linear equation or y=mx+b, the y-intercept is b which is -2/3
Answer:
-2/3
Step-by-step explanation:
in a linear equation, in slope-intercept form, y=mx+b, m is the slope, b is the y-intercept
Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
$97 = (Original Price) - (35% of Original Price)
$97 = (Original Price) - (0.35 of Original Price)
$97 = (1 - 0.35) of (Original Price)
$97 = (0.65) of (Original Price)
$97 = 0.65 · (Original Price)
Divide each side by 0.65 .
$97/0.65 = Original Price
$149.23 = Original Price
Lets see whos smart
100 + 50 × 10 =
Answer:
600
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
100 + 50 × 10
Step 2: Evaluate
Multiply: 100 + 500Add: 600
Are the following rates equivalent
12 pages in 20 minutes
20 pages in 32 minutes
Answer:
If your round to the nearest tenth then yes, but otherwise no
Step-by-step explanation:
Answer:These are not equal
Step-by-step explanation:
12/20= 6/10=3/5
20/32=10/6=5/8
5/8x5= 25/40
3x5x8=28/40
helpppp nowww plsss!!!
Answer: See explanation
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12, 15, 18
Multiples of 6: 6, 12, 18, 24, 30
The least common denominator is 6
1/3 can be rewritten as 2/6 and 4/6 can be rewritten as 4/6
Hope this helped!
1) Mrs. Clason wants to buy a wireless speaker for her husband. She has narrowed down her choice to two stores:
• Kohls is selling the speaker for $60.00. Mrs. Clason has a Friends and Family discount coupon for 30% off.
• Target purchased the speaker for $38.00 and marked it up by 35% to sell in the store
2) How much would Mrs. Clason be paying for the speaker at Kohl’s? Show your work!
3) Which store would Mrs. Clason get the best deal and by how much is it better? Show
How much would Mrs. Clason pay for this speaker at Target? Show your work
Answer:
Kohl = $42
Target = $51.30
Best deal is at Kohl's
Step-by-step explanation:
Given ;
At Kohl's:
Selling price = $60
Friend's and family discount = 30% off
(100 - 30)% * $60
0.7 * 60 = $42
At target :
Purchase price = $38
Markup = 35%
Selling price = (100 + 35)% * $38 = 1.35 * 38 = $51.3
Mrs. Clason will get the best deal at Kohl's.
1. A family eats at a restaurant. The bill is $42. They have a coupon that gives them 15% off
their meal. The family then leaves a 20% tip.
a. How much did the family spend on the meal after the coupon?
b. How much did the family spend on the meal in total?
[tex]42 - 42 \times 15\%[/tex]
[tex] =42 - 42 \times \frac{15}{100} [/tex]
[tex] =42 - 21 \times \frac{15}{50} [/tex]
[tex] =42 - \frac{315}{50} [/tex]
[tex] = 42 - 6 \: \frac{15}{50} [/tex]
[tex] = 41 \: \frac{50}{50} - 6 \: \frac{15}{50} [/tex]
[tex] = 35 \: \frac{35}{50} [/tex]
[tex] = 35.70[/tex]
Answer:The family did spend $35.70 on the meal after the coupon
b.Solution:[tex]35.70 + 42 \times 20\%[/tex]
[tex] = 35.70 + 42 \times 0.2[/tex]
[tex] = 35.70 + 8.4[/tex]
[tex] = 44.10[/tex]
Answer:The family did spend $44.10 on the meal in total.
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Which expression is equivalent to 24 + 64?
1) 8(3 +64)
2) 8(16 + 56)
3) 8(3+ 8)
4) 8(16 + 64)
can u pls help me with this question asap
Rounded to the nearest tenth of a cubic foot, what is
the volume of the robot's body?
You are taking a vocational course in night school. The
group you belong to is building a robot made of tin.
Your task is to build the cylindrical body of the robot.
The cylindrical body must have a height of 2 feet and a
radius equal to 1 of the body's height.
00.4
1.6
O 3.1
6.3
9.9
Answer:
the answer is 3.1
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
15450
Step-by-step explanation:
Can someone please help me
Answer:
no nononononmonno
Step-by-step explanation:
jahgajahahahhahahahahhavdbsvfbsbdvdv
Can someone help me with this problem
Answer:
1x
Step-by-step explanation:
Which expression is equivalent to 5st + 40t
Answer: 5(1st+8t)
Step-by-step explanation:You factor 5st + 40t using GCF .And the GCF of 5 and 40 is 5 .So you take 5st and you divide it by 5 and also you take 40 t and divide it by 5 too.And after you take 5st and you divide it by 5 ,you get 1 st .To add on,after you take 40 t and divide it by 5 you get 8t .Finally ,you take the GCF which is 5 and place Parentheses next to it and you take 1st and 8t and you add them together .
So your expression that is equivalent to 5st + 40t ,is 5(1st+8t) .
Hope it help :)and You are welcome .
The table shows the party affiliation of a 100 senators 109th congress the ratio of Republicans to Democrats 5:4 how many senators are Democrats? independents?
55 Republicans
Answer:
45 democrats
Step-by-step explanation:
if there are 55 Republicans
100-55= 45
your question was worded weirdly so I tried my best
hope it helps :)
As per the table the party affiliation of 100 senators then the independents is 1.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the provided by question,
55 republicans in ratio 5:4 so,
55/5
=11
11x4 = 44
independents = what's left, then
55+44=99
independents = 1
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The ration of the theree angles of a triangle is 5:7:8.findt the measure of the smallest angle of the triangle.
Answer:
Step-by-step explanation:The ratio of the measures of three angles of a triangle 5:7:8. Find the measure of each angle of the triangle. 5*9=45 answer for the smallest angle. 7*9=63 answer for the middle angle.
hope this helps and if im wrong sorry:)
Elisa takes a maximum of 6 guitar lessons each month. She is required to rent a guitar for a one-time rental fee of $20 and each lesson costs $45. If Elisa takes x lessons, the total cost of guitar lessons she takes in a month can be represented by the function f (x)= 20 + 45x. What is the range of the function?
Answer:
21t
Step-by-step explanation:
PLESAE ASNWER ASASP!!!!!!!!!!!!!!
Answer:
it is proportional
Step-by-step explanation:
constant of proportionality= 4
equation: b=4c
A self-serve car wash charges $5.55 to use its facilities, plus an additional $0.67 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 8 minutes, how much was she charged
Answer:
10.91
Step-by-step explanation:
.67×8=5.36+5.55=10.91
Help nowwwwwww plssss!!!
PLEASE HEL ASAP I NEED HELP
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? Explain your answer using input and output values. (3 points
Answer:
a. 0,6. 1,5.5. 2,5. 3,4.5. 4,4. 5,3.5, 6,3
b.?
c. yes it will still be because it is still in y=mx+b formula
Pls anserw I give branilst to who ever Anserw first
Answer:
Quadrilateral and trapezoid are the only ones.
Step-by-step explanation:
Only one set of lines are parallel, making it a trapezoid. It cannot be a parallelogram or anything else, as those all have 2 pairs of parallel lines.
To add on, it has 4 sides, making it a quadrilateral as well.
Hope you understood and have a nice day!! :D
There are 7 red marbles and 9 blue marbles in a bag. What is the ratio of all marbles in the bag to blue marbles? What is the ratio of red marbles to blue marbles?
Answer:
Answer to the 1st question is: 16/9 or 16:9 (whichever form you use)
Answer to the 2nd question is: 7/9 or 7:9
Step-by-step explanation:
Key skills needed: Number theory, Ratios, and Fractions
1) Let's look at the first question. A ratio is usually a number of something over a number of another thing. One such example is 5 apples : 4 oranges (or 5 apples/ 4 oranges - whichever form you write in).
Based on that let's look at the first problem. We want to find the ratio of all the marbles in the bag to the blue marbles. So it would be --> the total # of marbles over the number of blue marbles. The total number of marbles is 7+9= 16. This would be our first number, or the numerator. The number of blue marbles is 9. This would be our 2nd number, or the denominator of the ratio.With this information --> The ratio would be 16/9 or 16:92) Now let's look at the 2nd question. The number of red marbles to the number of blue marbles is the ratio we need to find.
The number of red marbles is 7. This would be our first number or the numerator. The number of blue marbles is 9. This would be our second number or the denominator. Therefore, the ratio would be --> 7/9 or 7:9Hope you understood and have a nice day!! :D
Solve the equation
18t + 11v = w – 13t for t.
Step-by-step explanation:
[tex]18t \: + 11v = w - 13t[/tex]
[tex]18t + 13t = w - 11v[/tex]
[tex]31t \: = w = - 11v[/tex]
[tex]t \: = \frac{w - 11v}{31} \\ [/tex]