Explain how to find the surface are of a triangular prism using only the the dimensions of the figure.
LEon made 4 liters of lemonade for the party, but it was too strong, it was 14% lemon juice. How much 8% lemonade should he add to make a mixture that is 10% lemon juice?
can someone show me how to solve this using the table or bucket method? thanks
A CD which usually sells for $15.78 has a 15% discount. Estimate the amount of the discount.
You need to round 15.78 to get 16. You then multiply 16 to 15 and divide by 100 to get your answer :
2.4
Which would also be $2.40
a cafeteria table has a length of 8 feet and a width of 3 feet. If 3 tables are pushed together, what is the combined area of the tables?
The rectangular top of his table has an area of 3^7 square inches and a length of 3^4 inches. What is the width of the table top?
A. 9 inchesB. 27 inchesC. 2,187 inchesD. 59,049 inches
Answer:
27
Step-by-step explanation:
Because 3 plus 7 equals 12 plus another 9 equals 27
The width of the rectangular table top is 27 inches.
The correct answer is option (B).
What is the area of rectangle?A = l × w, where 'l' is the length and 'w' is the width of the rectangle
For given question,
The rectangular top of Karim's table has an area of [tex]3^7[/tex] square inches and a length of [tex]3^4[/tex] inches.
[tex]\Rightarrow A =3^7~sq.in.~,l=3^4~in.[/tex]
Using the formula for the area of the rectangle,
[tex]\Rightarrow A=l\times w\\\\\Rightarrow 3^7=3^4\times w\\\\\Rightarrow w=\frac{3^7}{3^4}\\\\ \Rightarrow w=3^7\times 3^{-4}\\\\\Rightarrow w=3^{7-4}\\\\\Rightarrow w=3^3\\\\\Rightarrow w=27~in.[/tex]
Therefore, the width of the rectangular table top is 27 inches.
The correct answer is option (B).
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What is the simplified form of the expression? 3/a-9b
Final answer:
The simplified form of 3/(a-9b) is 3/a - 1/3b.
Explanation:
The closest relevant excerpt appears to be “(a + b)/h, āb/h + (a + b)(a + b)/h = (a + b)/h” which simplifies to “(a + b)/h”, assuming the intention was to demonstrate simplification through common denominator aggregation or algebraic manipulation. The mostly likely possible simplification in this can be done in the following form.
The simplified form of the expression 3/(a-9b) is 3/a - 1/3b.
To simplify, we split the fraction into two: 3/a - 3/(3b) = 3/a - 1/3b.
To make each costume, Rachel uses 6 yards of material and 3 yards of trim. Suppose she uses a total of 48 yards of material to make several costumes. How many yards of trim does she use? Write the rule you used to find the number of yards to trim
In rectangle MNPQ with side MN = 16 in, point L is the midpoint of PQ and m∠QLM = 45°. Find the perimeter of the rectangle.
Give the other person brainliest they deserve it .
You work for a furniture moving company. Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the best deal on rope?
A) 10 feet for $7.00
B) 20 feet for $13.00
C) 50 feet for $28.00
D) 100 feet for $57.50
Answer:
Option C- 50 feet for $28.00 is the best deal because it offers rope $0.56 per feet.
Step-by-step explanation:
To know what is the best deal on rope, we calculate the price for 1 feet rope from the given deals.
A) 10 feet for $7.00
1 feet = 7.00 ÷ 10 = $0.70
B) 20 feet for $13.00
1 feet = 13.00 ÷ 20 = $0.65
C) 50 feet for $28.00
1 feet = 28 ÷ 50 = $0.56
D) 100 feet for $57.50
1 feet = 57.50 ÷ 100 = $0.575
Option C) 50 feet for $28.00 offers lowest price, so this is the best deal.
Answer:
The best deal is "50 feet for $28.00"
C is correct
Step-by-step explanation:
We need to buy tie down rope for moving furniture.
We have to choose best deal from four option.
We are given length of rope and price of rope.
We can identity best deal if we know the price of rope per feet.
So, first we change each option into per feet.
Option A) 10 feet for $7.00
Price of 10 feet rope = $7
Price of 1 feet rope = $0.70
Option B) 20 feet for $13.00
Price of 20 feet rope = $13.00
Price of 1 feet rope = $0.65
Option C) 50 feet for $28.00
Price of 50 feet rope = $28.00
Price of 1 feet rope = $0.56
Option D) 100 feet for $57.50
Price of 100 feet rope = $57.50
Price of 1 feet rope = $0.5750
Now, we arrange each per feet price and check best deal.
0.70 > 0.65 > 0.57 > 0.56
The minimum cost is $0.56
Hence, The best deal is "50 feet for $28.00"
Please help me with questions 18 and 19
Dwayne wants to buy a bowling ball that has a price of $120. As a member of a bowling league, he is entitled to a 15% discount off the price of the bowling ball. He will also have to pay 6% sales tax on the discounted price of the bowling ball. Dwayne thinks that the final price of the bowling ball can be determined by taking 9% off the original price. Is Dwayne correct? Support your answer with a detailed explanation.
No, Dwayne is not correct.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Dwayne wants to buy a bowling ball that has a price of $120.
And, As a member of a bowling league, he is entitled to a 15% discount off the price of the bowling ball. He will also have to pay 6% sales tax on the discounted price of the bowling ball.
Now,
Here, Dwayne wants to buy a bowling ball that has a price of $120.
Hence, After 15% discount the price is,
⇒ 15% of 120
⇒ 15 x 120 / 100
⇒ $18
Hence, After discount the price is,
⇒ 120 - 18
⇒ $102
And, He will also have to pay 6% sales tax on the discounted price of the bowling ball.
Hence, The price of ball is,
⇒ $102 + 6% of 102
⇒ $102 + $6.12
⇒ $108.12
Since, Dwayne thinks that the final price of the bowling ball can be determined by taking 9% off the original price.
Hence, We can formulate;
⇒ $120 - 9% of 120
⇒ $120 - 10.8
⇒ $109.2
Thus, Dwayne is not correct.
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Points ABCD are connected to form rectangle ABCD. If G is plotted at (7, 4), would rectangle EFGH be similar to rectangle ABCD? Explain.
What is the better estimate for the mass of a textbook, 1 gram or 1 kilogram
On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles. What is the actual distance between the historical markers? Enter your answer in the box.
tuckers bedroom is a rectangle that measures 3 1/3 yards by 4 1/2 yards. His dad buys two area rugs that each has a length of 4 yards. One rug has an area of 16 square yards. The other is 12 square yards. Which rug will fit Tucker's room? a length of 4 yards. One rug has an area of 16 square yards. The other is 12 square yards. Which rug will fit Tucker's room?
Answer:
Step-by-step explanation:we have 2 area rugs, and each has a length of 4 yards
Rug 1 has a area of 16 square yards, meaning that the width is also 4 yard(L*w=16, where Length=4)
Rug 2 has a Length of L=4 but the area is just 12 square yards, so here we have the width of 3 yards (12/4=3)
the rug number 2 will fit in tucker's bedroom
(Extra points)
The lunch bill for Marty and Breanna add a dinner totaled $18.37. Tax on the meal was 6%, and they wanted to leave a 15% tip. How much was the meal including tax and tip?
Final answer:
To calculate the total cost of Marty and Breanna's meal including tax and tip, add a 6% tax and a 15% tip to the original bill of $18.37 to get a total of $22.23.
Explanation:
To find the total cost of the meal for Marty and Breanna including tax and tip, we first calculate the tax. Since the tax rate is 6%, we convert that to a decimal (0.06) and multiply by the total cost of the meal ($18.37):
0.06 × $18.37 = $1.10 (rounded to the nearest cent).
Next, we calculate the tip, which is 15% of the pre-tax meal cost. We turn 15% into a decimal (0.15) and multiply by the meal cost:
0.15 × $18.37 = $2.76 (rounded to the nearest cent).
To find the total amount paid including tax and tip, we add all the amounts together:
$18.37 + $1.10 + $2.76 = $22.23
So, the total cost of the meal including tax and tip is $22.23.
Write a system of equations and solve.
can somebody please show me how to find A? thanks
Two secant segments intersect outside a circle as shown. What is the value of x?
what is the equation of the line that has a slope of 4/5 and a y-intercept of -1?
Answer:
y = 4/5x -1
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
... y = mx + b . . . . . . for slope m and y-intercept b
You have m = 4/5 and b = -1. The equation of the line is found by putting these values in their places in the form above.
... y = 4/5x -1
The equation of the line with a slope of 4/5 and a y-intercept of -1 is y = (4/5)x - 1.
The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Given a slope of 4/5 and a y-intercept of -1, we can substitute these values directly into the slope-intercept form equation to get the equation of the line.
Hence, the equation for this line is y = (4/5)x - 1.
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? Use the rate table to solve the proportion.
Answer: The required cost of ingredients that would serve the recipe to 24 people is $39.
Step-by-step explanation: Given that a recipe makes enough stew for 6 people and the ingredients cost $9.75.
We are to find the cost of the ingredients that would make recipe to serve 24 people.
We are to use the rate table to solve the given problem.
Since the rate of increase of number of people is given by
[tex]\dfrac{24}{6}=4.[/tex]
Therefore, we will multiply the cost of ingredients for 6 people by 4.
Therefore, the cost of ingredient that makes the recipe to serve 24 people will be
[tex]=9.75\times 4\\\\=39.[/tex]
Thus, the required cost of ingredients that would serve the recipe to 24 people is $39.
4/9 converted into a decimal rounded to the nearest thousand
the figure is made of up of a cone and a cylinder, to the nearest whole number what is the approximate volume of this figure. PLEASE HELP FAST
These are the first sentences in the short story, “the gift of magi” by O. Henry: “one dollar ad eighty/seven cents. That was all. And sixty cents of it was in pennies” what are the possible number of coins to make $1.87? Use the equation that represents the value of the coins to complete the table
So the rows are read from left to right, now down. This is probably a little late to be answering this, but see how the top row say 4 6 5? 4 quarters = 100, 6 dimes = 60, 5 nickels = 25, all together is 185. It's just asking you to fill in the blanks to make each row equal $1.87. So for pennies, you would put 2 to make 185+2 = 187 or $1.87. I was confused looking at this too. I was staring at it for an hour and I googled to see how other people answered this.
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?
A. 2/5
B. 1
C.2
D.5/2
Answer:
Hence, option D is correct.
(i.e. Average speed is 5/2 miles/hour)
Step-by-step explanation:
We are asked to find the average rate of speed over the interval [9, 11].
We know that average speed is given as the ratio of total distance over total time.
the distance when time=9 hours is 6 miles.
and the distance when time=11 hours is 11 miles.
Hence, average speed is given as:
[tex]Average speed=\dfrac{Total distance}{Total time}\\\\Average speed=\dfrac{11-6}{11-9}\\\\Average speed=\dfrac{5}{2}[/tex]
Hence average speed is 5/2 miles/hour.
ANSWER FAST PLEASE 25 PTS
Which of the following statements best describe(s) a pair of similar polygons, ABCD and EFGH?
Polygons ABCD and EFGH have different shapes and are always different sizes.
Polygons ABCD and EFGH have similar shapes and are sometimes different sizes.
Polygons ABCD and EFGH have the same shape and are sometimes different sizes.
Polygons ABCD and EFGH have the same shape and are always different sizes.
Write each vector as a linear combination of the vectors in s. s = {(2, 0, 7), (2, 4, 5), (2, −12, 13)} (a) u = (−1, 7, −7)
Darius is offered a choice between two gambles on a fair coin flip: (1) pay $100, win $110 on either heads or tails. (2) pay $100, win $120 on heads and $70 on tails. darius chooses (2). what sort of attitude does this choice reveal?
What is the sixth term of the sequence?
an= −3 ⋅ 2n+1
Enter your answer in the box.
a6=
Answer: its actually -384 and I TOOK THE TEST I promise !!!
Step-by-step explanation:
Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a teenager owns a tablet given that the teenager owns a laptop?
P(T | L) = P(T&L)/P(L)
P(T | L) = 0.29/0.67 = 29/67 ≈ 0.4328 ≈ 43.3%