In this mathematics problem about boat sales, Pelican Marine sold 14 boats and Boater's Paradis sold 19 boats. This conclusion was achieved by forming and solving a simple algebraic equation based on the provided problem information.
Explanation:To solve this problem, let's visualize it first. Pelican Marine sold a certain number of boats, and Boater's Paradis sold 5 more than that. If we call the number of boats sold by Pelican Marine as x, and adding Boater's Paradis' sales (x + 5), together they sold 33 boats. So we form the equation as x + (x+5) = 33.
Solving that equation, we will get 2x + 5 = 33, then simplify it to 2x = 28 after subtracting 5 from both sides. Finally, we divide both sides by 2 we get x = 14.
So, Pelican Marine sold 14 boats and Boater's Paradis sold 19 boats (14 boats Pelican Marine sold plus an additional 5 Boater's Paradis sold).
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Tyron is making 52 cookies fi a party. Some will be pecan cookies. Some will be honey ginger cookies . The ratio of pecan to honey ginger cookies will be 7:6 . Suppose you use systematic guess and check to find the number of each type of cookie
Miguel score 35 fewer points in second bowling game than his first game his total score for the two games was 395 how many points did he score in each game? (plz show step by step)
Which equation represents a line that passes through (5, 1) and has a slope of ?
A. y – 5 = (x –1)
B. y – = 5(x –1)
C. y – 1 = (x –5)
D. y – 1 = 5
Koen works at the Middletown Cafe. This week he served a table a meal costing $53.69 and received a 15% tip. He received a tip of ____.
What is the quotient of 0.8449 ÷ 0.71?
Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2) . Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created. PolygonMove UndoRedoReset
Answer:
Hope this helps
Step-by-step explanation:
Compare the values of the two 8s in the number 467882
The two 8s in the number 467882 have different values based on their positions. The first 8 is worth 80 while the second 8 is worth 8.
Explanation:The number 467882 has two 8s. The first 8 is in the tens place and the second 8 is in the ones place. The value of the first 8 is 8 times the value of the place it is in (or 8 x 10 = 80). The value of the second 8 is 8 times the value of the place it is in (or 8 x 1 = 8).
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What are the factors of 27
anybody can help I need it by today at 4 pm please please please please please please help
if the perimeter of a rectangle is 318 inches, find the width and length. what's the answer?
Where did the Maya's lived?
Thanks,
-Laura B
if five notebooks cost $5.25, how much would three notebooks cost?
what is 11.4 rounded to the nearest tenth
Rounded to the nearest tenth, 11.4 becomes 11.4.
When rounding a number to the nearest tenth, you look at the digit in the hundredths place.
If it's 5 or greater, you round up; if it's less than 5, you round down. In 11.4, the digit in the tenths place is 4, which is less than 5.
Therefore, 11.4 remains unchanged when rounded to the nearest tenth, resulting in 11.4.
This means the number stays the same, as it's already accurately represented to the nearest tenth without needing any adjustments.
Steps to divide 125.00 by 7.75
For a Circle of radius is 5 feet, find the arc length s subtended by a central angle of 42 degrees
The arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for arc length is given by:
s = rθ
where s is the arc length, r is the radius of the circle, and θ is the central angle subtended by the arc in radians.
To use this formula, we first need to convert the central angle from degrees to radians:
θ = (π/180) × 42 = 0.733 radians
Now we can plug in the values of r and θ into the formula to get:
s = 5 × 0.733
= 3.665 feet
Therefore, the arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.
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Jon bought 1 2⁄3 pounds of green peppers and 3⁄5 pound of yellow peppers. How much more did the green peppers weigh than the yellow peppers?
The cost of two mopeds is the same as the cost of seven bicycles. The cost of one bicycle is $152. Therefore, the cost of one moped is
1 bike = 152
7 bikes = 152*7 = 1064
1 moped = 1064/2 = $532
Suzanne can read 1 page in 3 minutes. How many pages can she read in 5 hours?
Jonah is playing a video racing game called Checkpoint. The speed of Jonah’s car is recorded four times during one lap. At the first checkpoint, his speed is 80 miles per hour. At the second checkpoint, his speed has reduced by 5%. At the third checkpoint, Jonah’s speed has increased by the speed from the previous checkpoint. At the fourth checkpoint, his speed decreased by 20% compared with the third checkpoint. What is Jonah’s net change in speed between the first and fourth checkpoints?
Answer:
negative 15 is your answer
Step-by-step explanation:
the last number was negative so it would be negative 15
Answer:
-15
Step-by-step explanation:
yes
Samah has made 20kg of chilli. There are 100g of chilli in a portion. how many portions of chilli has Samah made?
The sales tax on the purchase of a futon is $34.1634.16. If the tax rate is 77%, find the purchase price of the futon.
To find the purchase price of the futon, divide the sales tax by the tax rate. The purchase price is approximately $44.48.
Explanation:To find the purchase price of the futon, we need to divide the sales tax by the tax rate. Let's call the purchase price P. We can set up the equation as: 0.77P = 34.16. To solve for P, we divide both sides of the equation by 0.77. P = 34.16 ÷ 0.77. Using a calculator, the purchase price of the futon is approximately $44.48.
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A jar of natural peanut butter normally cost four dollars today it's on sale for $3.60 what is the percentage of the discount
What is the lateral area of the pyramid?
9*12.3 = 110.7
11*11.9 = 130.90
130.90 + 110.70 = 241.6 ft^2
Answer:
Step-by-step explanation:
Alright, lets get started.
The lateral area will be the area of all 4 sides.
The two sides have base length 11 feet and height of 11.9 feet.
The area of this side is : [tex]\frac{1}{2}*base*height[/tex]
The area of this side is : [tex]\frac{1}{2}*11*11.9=65.45[/tex]
The two sides have base length 9 feet and height 12.3 feet.
The area of this side is : [tex]\frac{1}{2}*9*12.3=55.35[/tex]
All 4 sides area will be : [tex]2(65.45+55.35)[/tex]
All 4 sides area = 241.6 square feet
Hence the lateral area will be 241.6 square feet : Answer B
Hope it will help :)
Tony rounded each of the numbers 1,210 and 1,148 to the nearest hundred. Which choice correctly compares the rounded numbers?
The process of rounding numbers 1,210 and 1,148 to the nearest hundred results in 1,200 and 1,100, respectively. Therefore, 1,200 is greater than 1,100.
Explanation:In Mathematics, rounding numbers is common practice for simplifying calculations. We are given the numbers 1,210 and 1,148, and we need to round them to the nearest hundred.
Let's round them:
1,210 rounded to the nearest hundred is 1,200.1,148 rounded to the nearest hundred is 1,100.So, when comparing the rounded numbers, 1,200 is greater than 1,100.
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Which expression represents the number of possible combinations of n items taken r at a time?
Answer:
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Step-by-step explanation:
Given :Total items = n
Items taken at a time = r
To Find: Which expression represents the number of possible combinations of n items taken r at a time?
Solution:
We will use combination over here.
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Now Total items = n
Items taken at a time = r
Thus expression represents the number of possible combinations of n items taken r at a time is [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Create a process that will calculate the series 1 + x + x2 + x3 + x4 .......... + xn where x is a floating point number and n is a positive number. you process should be designed so exponentiation (or the pow function in c++) is not needed.
Round 6,482 to the nearest ten hundred
Ms. Smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups without any students left over, how many students will be in each group? Is it lcm or gcf?
A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.
Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
Using the 45°-45°-90° triangle theorem in a right triangle, where 'a' represents the triangle's leg that is also the trapezoid's height, 'h' equals 'a' and the hypotenuse is 'a' times √2. Additional information would be needed to solve for a numerical value of 'h'.
Explanation:In this problem, the wall's shape is a trapezoid, and we are using the 45°-45°-90° triangle theorem to find 'h', the height of the wall. We know in a 45°-45°-90° triangle, the two legs are congruent (same length), and the length of the hypotenuse is √2 times the length of a leg (based on Pythagorean theorem). In this case, if 'a' is the length of the triangle's leg connected to the rectangle, then 'h' would be equal to 'a' (since they are the legs in a 45-45-90 triangle), and the hypotenuse would be a√2.
Given an additional variable or measurement in this problem such as the length of the wall or the hypotenuse of the triangle, we could plug it in to solve for 'h'. Without additional information, the exact numerical height cannot be determined.
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A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 32 square feet. Find the lengths of the sides of the poster and the sign?