Answer: $240
Step-by-step explanation:
Simple interest= Principal x Rate x Time
Where P= 1600, R= 5% = 0.05, T=3
= 1600 x 0.05 x 3
$240
(4) A bookshelf is 42 inches long. How many books of length 1 & 1/2 inches will fit
on the bookshelf? *
Answer:
Let’s use easier
nbers first.
if the bookshelf was 12 inches long, and the books were 6 inches wide, how many can you fit on the shelf? If you said 2, you are correct. You actually divided to find the answer. 6/12=2.
Use the same processs with your original question.
1 1/4 / 42 = 5/4 X 1/42 = 5/168 = 33.6
answer is 33
What is the distance between (–2 and one-half, –3) and (1, –3)?
The answer is square root of 2
Answer: The distance between the points is 2 and 1/2 units.
Step-by-step explanation:
We want to calculate the distance between the points:
First, to calculate the difference between the vectors (a,b) and (c,d) we have:
(a, b) - (c, d) = (a -c, b - d)
(-2 + 1/2, -3) and (1, - 3)
First, we calculate the difference of the two ponts:
(-2 + 1/2, -3) - (1, - 3) = (-2 + 1/2 - 1. -3 - (-3)) = (-3 + 1/2, 0 )
now this is the distance vector, we can calculate the magnitude of the distance by calculating the magnitude of this vector, this is:
d = √((-3 +1/2)^2 + 0^2) = √(-3 + 1/2)^2 = (3 - 1/2) = 2 + 1/2
Choose the precise measurements 5.8mm or 6.4 m
Answer:
The more precise measurement is 5.8mm
Step-by-step explanation:
Answer:
6.4
Step-by-step explanation:
Solve of x:
0.5(4x + 6) = 5x + 24.7
Answer:
[tex]0.5(4x + 6) = 5x + 24.7 \\ 2x + 3 = 5x + 24.7 \\ 3 - 24.7 = 5x - 2x \\ - 21.7 = 3x \\ \frac{ - 21.7}{3} = \frac{3x}{3 } \\ x = - 7.2333[/tex]
Answer:
x=-37.4
Step-by-step explanation:
0.5(4x + 6) = 5x + 24.7 (0.5*4x=4.5x)
4.5x+6=5x+24.7
4.5x-5x+6=5x-5x+24.7
-0.5x+6=24.7
-0.5x+6-6=24.7-6
-0.5x=18.7
-0.5x/-0.5=18.7/-0.5
x=-37.4
Ronaldo is carving a sculpture is made up of two figures, a rectangular prism and a square prism
Answer:
84 cubic
Step-by-step explanation:
Answer:
Step-by-step explanation: 361 1/2
Pyramids A and B are similar. Pyramid A has a height of 8 in., and Pyramid B has a height of 24 in. Pyramid A has a volume of 384 in3. What is the volume of pyramid B?
Answer:142
Step-by-step explanation:no
The volume of Pyramid B can be calculated by using the ratio of the heights of the similar pyramids, cubed. As the height of Pyramid B is 3 times the height of Pyramid A, its volume is 27 times greater. Thus, Pyramid B has a volume of 10368 cubic inches.
Explanation:
Calculating the Volume of Similar Pyramids
To solve this problem, we can use the properties of similar figures. When two pyramids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding linear dimensions. In this case, Pyramid A has a height of 8 inches and a volume of 384 cubic inches. Pyramid B is similar to Pyramid A but has a height of 24 inches, which is 3 times the height of Pyramid A (since 24 in. / 8 in. = 3).
Since the pyramids are similar, the ratio of their volumes will be the cube of the ratio of their heights (in this case, 33 or 27). Therefore, the volume of Pyramid B will be 27 times greater than the volume of Pyramid A.
To find the volume of Pyramid B, we simply multiply the volume of Pyramid A by this ratio:
Volume of Pyramid B = Volume of Pyramid A × (ratio of heights)3Volume of Pyramid B = 384 [tex]in^3[/tex] × 27Volume of Pyramid B = 10368 [tex]in^3[/tex]Thus, the volume of Pyramid B is 10368 cubic inches.
Can I get help please ?
Answer:
8
Step-by-step explanation:
1) let’s take the original number as “x”
So
3x=28-0.5x
Lol don’t worry I’ll show you how I got that
So it says 3 times a number. That tells me my number, X is multiplied by 3 so I have
3x so far
Next it says “is equal to”, this tells me my number 3x is equal to something so I have this now:
3x=
After that it says “half of a number” so I know I will have 0.5x subtracted from 28. Since it says subtracted from 28 that means my number will be subtracted from 28, not the other way around so
3x=28-0.5X
Now I can solve this by bringing “-0.5” to the left.
3x+0.5x=28
3.5x=28
Divide both sides by 3.5 and
X=8
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 57 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 61 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 67 degrees. The interior angle on the left is labeled as x. 35° 47° 51° 62°
Answer:
Step-by-step explanation:
35° 47° 51° 62° isnt that of a pickelll to fry you need 79 into the mix your welcome :D
what is the reciprocal of -5/6
A.6/5
B.-6/5
c. 5/6
Answer:
B.
Step-by-step explanation:
Reciprocal is a term taken so that the answer we get becomes 1 of the given term
So
-5/6*-6/5
We get
1
the correct answer is B
You basically just have to switch the two numbers
It takes Jill 2 hours to run 14.5 miles, At this rate, how far could she run in 3 hours? Btw, I am giving a lot of points if you get it correct!
Answer:
21.75
Step-by-step explanation:
To find how long she can run in a single mile, divide 14.5 by 2, giving you 7.25. If she runs three of those, (3 times 7.25), she runs 21.75 miles.
Answer: 21.75miles
Step-by-step explanation:
Let the number of miles for 3 hours be represented as x
If 2 hours = 14.5 miles
Then, 3 hours = x
We Cross multiply
2x = 14.5 × 3
2x = 43.5
Divide both sides by 2
x = 43.5/2
x = 21.75
In 3 hours, Jill will be able to run 21.75miles. I hope this helps.
Susan finds 2 pints 1 cup of water evaporated from the class aquarium. How many pints of water are left in the aquarium?
Answer: 1.5 US PINTS
Step-by-step explanation:
Brainliest plz
Answer: 1.5 pints
Step-by-step explanation:
In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
10/13 ≈ 76.9%
Step-by-step explanation:
P(A∪B) = P(A) +P(B) -P(A∩B)
P(plays basketball ∪ plays baseball)
= P(plays basketball) +P(plays baseball) -P(plays both)
P(plays basketball ∪ plays baseball) = 16/26 +9/26 -5/26 = 20/26 = 10/13
P(plays basketball or baseball) = 10/13 ≈ 76.9%
Answer:
The answer is 11 percent.
Will y’all help me on num 9!
Answer:
Option C, Ryder owed his mom $2.50. He babysits his sister and makes $8.75
Step-by-step explanation:
Since it starts at 0 and goes to -2.5, that means that he owes $2.50
Since it goes from -2.5 to 6.25, that means that he ears $8.75
Answer: Option C, Ryder owed his mom $2.50. He babysits his sister and makes $8.75
A construction company built bleachers that can hold a 149,227 pounds. How many 169-pound people can the bleachers hold?
Answer: 883 people
Step-by-step explanation: If the bleachers can hold 149,227 pounds and each person weighs 169 pounds, then you would do 149,227 divided by 169 to get 883.
149,227 ÷ 169 = 883
Answer:
883 people
Step-by-step explanation:
This is a division problem.
(149,227 lb)/(169 lb) = 883
Answer: 883 people.
Will y’all help me on num 21 thank you
Answer:
its D
Step-by-step explanation:
Using the distributive property answer choice is C
2/5(6x-1)
=12x/5 - 2
PLS HELP HURRY!!Its ten points
Answer:
12in long and 10in wide
Step-by-step explanation:
If he were to trim the edges of the photographs to [tex]12\frac{1}{2}[/tex] and [tex]10\frac{1}{2}[/tex], the edges of the photographs from Russ's vacation would be too long and wide to fit inside of the photo album.
If you convert the fractions into decimals, you can easily discern that the vacation photos would be too large to fit inside of the photo album.
Photo Album:
[tex]12\frac{1}{8}[/tex] = 12.1 inches •Original
[tex]10\frac{1}{8}[/tex] = 10.1 inches •Original
• Too large:
[tex]12\frac{1}{2}[/tex] = 12.5 inches > 12.1 - 12.5 = -0.4 •Too large
[tex]10\frac{1}{2}[/tex] = 10.5 inches > 10.1 - 10.5 = -0.4 •Too large
• Just right:
10 = 10 inches > 10.1 - 10 = 0.1 •Space left
12 = 12 inches > 12.1 - 12 = 0.1 •Space left
Ana bought a 15.5-pound turkey at the grocery
store this month. The equation p-15.5 = 2.5
gives the weight p, in pounds, of the turkey
she bought last month. What is the solution
of the equation?
Answer:
18
Step-by-step explanation:
(-45-24v^2+v^4-22v-6v^3)/(v-9)
Answer:
If my 15 year old brain has functioned correctly, the answer is v^3+3v^2+3v+5
Step-by-step explanation:
A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table:
Product Function Year 1
(dollars) Year 2
(dollars) Year 3
(dollars)
Product 1 g(x) = x2 + 11 12 15 20
Product 2 h(x) = 4x 4 16 64
Based on the data in the table, for which product does the price eventually exceed all others, and why?
Product 1, because it has a greater start value
Product 1, because the function is exponential
Product 2, because it has a higher Year 3 value
Product 2, because the function is exponential
Answer: I believe the answer is D) Product 2, because the function is exponential!!!!!!!
From the question that we have the period that would have the price that would exceed others would be Product 2, because the function is exponential.
What is an exponential function?
This is the type of function that is raised to a power of a constant. An exponential function is of the type f ( x ) = a^x.
x is a variable in the function while a is referred to as the constant of the equation.
Read more on exponential equation here:
https://brainly.com/question/2456547
#SPJ2
Jen's garden is 4 feet wide and gas ab area of 28 square feet. What is the length of Jne's garden? how do you know
Answer:
The Length is 7
Step-by-step explanation:
If Jen has a garden with a total area of 28 square feet and it is 4 feet wide to find the length you will divide the total area with the width. This should give you the length of the Garden which is 7. To double check your answer you can multiply the width with the length to get the total area of 28 square feet.
The length of Jen's garden is 7 feet, calculated by dividing the area of 28 square feet by the width of 4 feet.
Explanation:To find the length of Jen's garden, we need to use the information about the garden's area and width. The area of a rectangle (which is the shape we can assume the garden is) is calculated by multiplying the length by the width. Given that Jen's garden has an area of 28 square feet and a width of 4 feet, we can set up the following equation:
Area = Length × Width
28 square feet = Length × 4 feet
To solve for the length, divide both sides of the equation by 4 feet:
Length = 28 square feet / 4 feet
Length = 7 feet
Therefore, the length of Jen's garden is 7 feet. This is how we determine the dimensions of a garden plot by using multiples of length and width. To actually measure the garden, one would use a measuring tape.
Which of the following statements about a linear function is never true?
A. The graph of a linear function is a straight line.
B. Two ordered pairs that have the same x-coordinates but different y-coordinates determine a linear function.
C. Every linear function has a corresponding equation.
D. The slope between any two points on the line that is the graph of a linear function is constant.
Answer:
the answer is B
Step-by-step explanation:
you cant have the same x coordinate and it be a linear function
It is impossible that two ordered pairs can form a linear function. (Correct choice: B)
How to analyze linear functionsLinear functions are first order polynomials which graph is a straight line and whose slope is constant for every ordered pair. The domain and range of linear functions represent all real numbers, indicating a continuous nature within the function.
Hence, a linear function is only formed by infinite set of points. Hence, it is impossible that two ordered pairs can form a linear function. (Correct choice: B) [tex]\blacksquare[/tex]
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/17058347
What is the area, in square units, of the parallelogram shown below?
A parallelogram ABCD is shown with height of 10 units and base 6 units
(1 point)
30 square units
60 square units
80 square units
90 square units
Option B:
Area of the parallelogram = 60 square units
Solution:
Given ABCD is a parallelogram.
Height of the parallelogram = 10 units
Base of the parallelogram = 6 units
To find the area of the parallelogram:
Area of the parallelogram = Base × Height
= 6 × 10
= 60
Area of the parallelogram = 60 square units
Hence option B is the correct answer.
Answer:
B. 60 Square Units
Step-by-step explanation:
To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.
Have a great day!
What is the LCM of 12 46
Answer:
To get the Least Common Multiple (LCM) of 12 and 46 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
12:
2
2
3
46:
2
23
LCM:
2
2
3
23
The Least Common Multiple (LCM) is: 2 x 2 x 3 x 23 = 276
Step-by-step explanation:
Step-by-step explanation:
12=1× 2×2×3
46=1×2×23
LCM=1×2×2×3×23
= 276
1. Find the next term in the sequence.
9, 15, 21, 27,..
Answer:
33
Step-by-step explanation:
9+6=15
15+6=21
21+6=27
27+6=33
33
Kendra lives 10 Km from the northern tip of swan lake and 6 Km from the southern tip of swan lake. What is the north - south distance across swan lake?
Answer:
The north - south distance across swan lake is 8 km
Step-by-step explanation:
Look to the attached figure
Kendra's house and the distances between it and the North tip, southern tip of swan lake formed a right Δ
∵ Kendra lives 10 Km from the northern tip of swan lake
- That means the length of the hypotenuse of the right Δ is 10
∴ The hypotenuse of the right Δ = 10
∵ Kendra lives 6 Km from the southern tip of swan lake
- That means the length of the horizontal leg of the right Δ is 6
∴ The horizontal leg = 6
- By using Pythagoras Theorem
∵ (hypotenuse)² = (H.leg)² + (V.leg)²
∴ (10)² = (6)² + (x)²
∴ 100 = 36 + x²
- Subtract 36 from both sides
∴ 64 = x²
- Take √ for both sides
∴ 8 = x
∴ The vertical leg of the right triangle = 8
∵ x represents the north-south distance across swan lake
∴ The north - south distance across swan lake is 8 km
choose yes or no for each question will mark brainlist :) !!
Answer:
1. No
2. Yes
3. No
4. Yes
Step-by-step explanation:
Hope this helped!
What is subtracting fractions from mixed numbers for grade 4, work shert
Answer: Can't help ya if you don't show the sheet.
Step-by-step explanation:
Mike, Chris, and John decided to go running. Mike can run 4 miles per hour, Chris
can run 6 miles per hour, and John can run 5 miles per hour. Mike ran for 1 hour
and 45 minutes, Chris ran 70 minutes, and John ran for 90 minutes. What was
the total amount of miles that they combined to run?
1. 25.5 miles
2. 25 miles
3. 21 miles
4. 21.5 miles
5. 22.5 miles
Answer:
21.5 miles total
Step-by-step explanation:
First, identify what you know:
1) Mike can run 4 mph, and runs a total of 1 hour, and 45 minutes (105 min)
2) Chris can run 6 mph, and runs a total of 70 minutes.
3) John can run 5 mph, and runs a total of 1 hour, and 30 minutes (90 min)
We need to calculate how many miles each person ran, and then add the miles ran, to find the total!
Mike: 1 hour and 45 minutes it equal to 1.75! So, in one hour, Mike ran 4 miles. He ran 3/4 of 4 mph, in 3/4 of an hour! Thus, Mike ran 7 miles. Simply multiply 1.75 by 4, to get 7 mph.
Chris: Chris ran 6 mph for 70 minutes. 6 mph, means that Chris can run one mile per every ten minutes! In 70 minutes, he'll have run 7 miles.
John: If john ran 90 minutes, that means he ran 1.5 hours! Simply multiply 1.5 by 5 mph, to get 7.5 miles!
Now, all we need to do, is add the totals!
7 + 7 + 7.5 = 21.5
In total, Mike, Chris, and John ran 21.5 miles!
Hope this helps! :)
help plz
4/5 n =2/3 . n = ___?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5}[/tex] n = [tex]\frac{2}{3}[/tex]
First you must divide both sides by [tex]\frac{4}{5}[/tex] which gives you:
[tex]\frac{\frac{2}{3} }{\frac{4}{5} }[/tex]
Now you must multiple the numerator by the reciprocal of the denominator:
[tex]\frac{2}{3}[/tex] * [tex]\frac{5}{4}[/tex] = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
Maggie creates the fraction models shown to find the value of 1 3/4 divided by 2/3
Answer: where is them model
Step-by-step explanation: