Jack should dig a hole approximately 9.69 feet deep for a tree that is 17 feet high.
Jack needs to dig a hole for a tree that is 17 feet high, based on a requirement that the hole depth should be 3.25 feet for every 5.7 feet of tree height. To calculate the depth of the hole Jack should dig, we will set up a proportion where the depth of the hole is directly proportional to the tree height.
The proportion is as follows: 3.25 feet depth/5.7 feet height = x feet depth/17 feet height. To solve for x (the depth of the hole for a 17-foot tree), we cross-multiply and divide:
(3.25 feet depth * 17 feet height) / 5.7 feet height = x feet depth.
By calculating this, we get:
x = (3.25 * 17) / 5.7 = 55.25 / 5.7 = 9.69 feet.
Curtis school has 1,575 students. The students to teacher ratio is 15 to 1. How many teachers are at Curtis school.
2000g 75.75kg 5050g 3kg order then from smallest to gretest
About 3,500 different species of mosquitoes exist in the world if a mosquito traveled 10.8 miles at top speed in 99 hours, how far did it travel in one hour?
The mosquito traveled approximately 0.109 miles in one hour.
Explanation:In order to calculate how far the mosquito traveled in one hour, we can use the formula:
Distance = Speed × Time
Given that the mosquito traveled 10.8 miles in 99 hours, we can plug these values into the formula:
Distance = 10.8 miles × 1 hour = 0.109 miles per hour
So, the mosquito traveled approximately 0.109 miles in one hour.
Mosquito populations in Brazil would likely decrease under hot (above 30°C) and dry (below 60% humidity) conditions due to the limited ability of parous females to produce offspring in such conditions, impacting the spread of mosquito-borne diseases.
Explanation:The question involves evaluating how environmental conditions can affect mosquito populations. Based on the data given, if the climate in Brazil shifted to very hot (above 30°C) and very dry (below 60% humidity) conditions, the mosquito populations would likely decrease. The upper temperature limit for parous females, which are females that have produced viable offspring, is around 30°C. Warmer temperatures would lead to a decline in offspring production. Similarly, very dry conditions (below 60% humidity) would negatively impact mosquito populations, possibly diminishing them further. This information is crucial for understanding mosquito behavior and the spread of diseases such as the West Nile virus, for which mosquitoes are vectors. Efforts to control mosquito populations through environmental management, genetic modification, and other disease prevention strategies are significant to public health.
Antonio gave 27 tomatoes to his neighbor and 15 to his brother.he had 72 tomatoes before giving some away.how many tomatoes does Antonio have lefted.
Regina purchased 1.75 pounds of turkey breast from her local deli for $5.99 per pound. To the nearest cent, how much did she spend at all?
24 boxes of crayons wigh 235.2 oz. how many oz is each box of crayons?
A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?
There are 9 tiles are along an edge of the room.
Here,
A square room has a tiled floor with 81 square tiles.
What is Area of a square?
In square all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side.
Now,
A square room has a tiled floor with 81 square tiles.
Number of tiles on edge of the room is equal to length of one side of the room.
Hence, we have to find the length of each side of a square room.
For this,
Area of square room = [tex]side^{2}[/tex] = [tex]81[/tex]
⇒ side = √81 = 9
So, There are 9 tiles are along an edge of the room.
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Yolanda and her 3 brothers shared a box of 156 toy dinosaurs. About how many Dino's did each child get?
Yolanda and her 3 brothers are sharing 156 toy dinosaurs. By dividing 156 by the total number of children, which is 4, we find that each child gets 39 toy dinosaurs.
Explanation:The question requires us to divide a certain number of items, specifically toy dinosaurs, equally among a group of children. Yolanda and her 3 brothers share a total of 156 toy dinosaurs. To find out how many dinosaurs each child gets, we need to perform a simple division operation.
Since there are 4 children in total (Yolanda plus her 3 brothers), we divide the total number of toy dinosaurs by 4:
156 toy dinosaurs ÷ 4 children = 39 toy dinosaurs per childTherefore, each child would receive approximately 39 toy dinosaurs.
Final answer:
To determine how many toy dinosaurs each child receives, divide 156 (the total number of dinosaurs) by 4 (the number of children), resulting in 39 dinosaurs per child.
Explanation:
The subject of this question is Mathematics, and it belongs to the Middle School grade level. The question involves dividing a set of items equally among a group of children, which is a basic arithmetic problem.
Yolanda and her 3 brothers together make a group of 4 children. To find out how many toy dinosaurs each child gets, we divide the total number of toy dinosaurs by the number of children:
Total number of toy dinosaurs: 156
Number of children: 4
Number of dinosaurs per child = 156 ÷ 4
= 39
So, each child would receive approximately 39 toy dinosaurs.
A model spaceship costs $15.99 before tax. The tax on the model spaceship is 8%. What is the total cost of the model spaceship? Round your answer to the nearest cent. Enter your answer in the box.
17.27 bye hope helps!
304 students went on a field trip .7 buses were filled and 17 students traveled in cars. How many students were in each bus?? Show 2 step equations!!
Answer:
There were 41 students in each bus.
Step-by-step explanation:
Consider the provided information.
304 students went on a field trip 7 buses were filled and 17 students traveled in cars.
We need to find How many students were in each bus.
Let the number of students in each bus is represented by x.
Thus the required equation is:
[tex]7x+17=304[/tex]
Subtract 17 from both the sides.
[tex]7x=304-17[/tex]
[tex]7x=287[/tex]
[tex]x=41[/tex]
Hence, there were 41 students in each bus.
Bradley's TV screen is 15 feet by 20 feet he wants to put new covers on the TV screen that cost $25 per square foot how much will it cost to cover his TV screen
jayson is installing nee flooring in his home if the lenght of the room is 26 feet and the width is 6 feet how many sq feet of flooring does Jayson need
Coach brown bought 6 basketballs for $16 each and 6 footballs for $24 each. The expression 6× 16+6×24 gives the total cost in dollars of the basketballs and footballs. Use the distributive property to write the expression another way. Then evaluate.
What is 5.62 in expanded form
Answer:
5.62 = (5 x 1) + (6/10) + (2/100)
Step-by-step explanation:
5.62 = (5 x 1) + (6/10) + (2/100)
broccoli cost 1.50 per pound at a grocery store. how much does 64 ounces of broccoli cost, before tax
What digit in the serial number of this dollar bill occurs most often? 6,8,5,8,2,8,5,8
Answer:
8
Step-by-step explanation:
sorry if this its old
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4)?
A. y−4=−1/5(x+8)
B. y+4=−9/11(x−8)
C. y−4=−9/11(x+8)
D. y+4=−1/5(x−8)
Answer:
C. [tex]y-4=-\frac{9}{11}(x+8)[/tex]
Step-by-step explanation:
The point slope form is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope,
First we are going to calculate [tex]m[/tex]:
If you have two points:
[tex]A=(x_1,y_1)\\B=(x_2,y_2)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case: A=(-8,4) and B=(3,-5)
[tex]x_1=-8, y_1=4\\x_2=3, y_2=-5[/tex]
Replacing in the formula:
[tex]m=\frac{-5-4}{3-(-8)}=-\frac{9}{11}[/tex]
Then [tex]y-y_1=-\frac{9}{11}(x-x_1)[/tex],
Now we have to replace with: [tex]x_1=-8, y_1=4[/tex],
[tex]y-y_1=-\frac{9}{11}(x-x_1)\\\\y-4=-\frac{9}{11}(x-(-8))\\\\y-4=-\frac{9}{11}(x+8)[/tex]
Then the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) is:
C. [tex]y-4=-\frac{9}{11}(x+8)[/tex]
What algebraic expression is 6 more than number c
The algebraic expression for ''6 more than number c'' is written as;
⇒ c + 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''6 more than number c''
Now,
The term ''6 more'' means to ''increase 6'' or to ''add 6''.
Thus, The expression ''6 more than number c'' is written as;
⇒ c + 6
Therefore, The algebraic expression for ''6 more than number c'' is written as;
⇒ c + 6
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For what value of x is the value of f(x)=4x-2 equal to 18
Carl wants to fill up his fish tank with water. To determine the amount of water that it will take to fill the tank, Carl needs to calculate the ____________ of the tank. A) area B) volume C) perimeter D) lateral area
Answer:
The answer is B. Volume
Step-by-step explanation:
Finding the area of the tank would only show the size of one of the panals. The perimater is the length around one of the side panels of the tank. Lateral area is simmiler to the surface area, howerver it excludes the base and top. Volume is the only answer choice that calculates how much water will fill the tank. Volume can be found by multiplying the base multiplyed my the length multiplyed by the hight.
Answer:
b volume
Step-by-step explanation:
what is 34 divided by 594 LONG DIVISION
Answer:
thanks
Step-by-step explanation:
8465+485744-37493
elizabeth purchases a container of punch mix that when mixed with water makes 640 ounce of punch. Elizabeth has 8 ounce drinking glasses. she assumes that each person will drink 2 glasses of punch. show how to determine how many people can be served with one container of punch.
Final answer:
Elizabeth can serve 40 people with one container of punch mix, by dividing the total ounces (640) by the size of one glass (8 ounces) to get 80 glasses, and then dividing that by 2 glasses per person.
Explanation:
To determine how many people Elizabeth can serve with one container of punch mix that makes 640 ounces of punch, we need to calculate the total number of 8-ounce glasses that can be poured from 640 ounces.
First, divide the total ounces of punch (640) by the size of one glass (8 ounces): 640 ÷ 8 = 80 glasses.Since each person will drink 2 glasses, we need to determine how many people can be served by the number of glasses. Divide the total number of glasses (80) by the number of glasses per person (2): 80 ÷ 2 = 40 people.So, Elizabeth can serve 40 people with one container of punch mix.
Tom practiced piano 1 1/3 hours on Monday and 5/6 hours on Tuesday. how much did he practice in all those two days
Select all the expressions that are equivalent to 735 ÷ 100.
A. 7.35 ÷ 1,000
B. 735 × 0.01
C. 73.5 × 0.001
D. 735 × 0.001
E. 73.5 × 0.1
how fast does a ferrari go?
Marley made 80% of what she made last week. If she $72 this week how much did he make last week?
3/5 is greater than 6/10
write a each fraction as a decimal and as a decimal
find the sum of 28 and 59 show your work
Graph the equation 18x + 15y = 90 in y=mx+b Please just explain the equation to me you don't have to graph it. It's y=18x+6 right?