In 2010, the estimated population of Chicago was 2.7×10^6 people. The population of Illinois that same year was about 4.76 times this number.
Which expression shows the approximate population of the state of Illinois in 2010?
Answer:
1.29 x 10^7 people
Step-by-step explanation:
1.29 x 10^7 people
Each cube in this rectangular prism is 1 cm3. What is the volume of the rectangular prism? A. 9 cm3 B. 20 cm3 C. 40 cm3 D. 48 cm3
1.Subtract
5/8 - 1/6
Express your answer in simplest form.
2.Subtract
6/7 - 3/5
A. 3/12
B. 9/35
C. 3/7
D. 3/35
3. Add
5 3/8 + 4 1/4
4. Add
2 5/6 + 3 3/4
Express your answer in simplest form
5. Subtract
3 1/4 - 1 5/8
Please Help ASAP I have to get the done before 10:00
Alex is adding square-foot tiles on the floor in his laundry room. If the space he wants to fill is 7 feet long and 6 feet wide, how many square-foot tiles will he need to fill the area?
A) 12 tiles
B) 26 tiles
C) 36 tiles
D) 42 tiles
Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?
f(x) = 20,000(0.85)x
f(x) = 20,000(0.15)x
f(x) = 20,000(1.15)x
f(x) = 20,000(1.85)x
The value of Terrence's car after x years is
A = 20,000 ( [tex]1-0.15)^x[/tex]
What is depreciation?Subtract the asset's salvage value (what you expect it to be worth at the end of its useful life) from its cost to calculate depreciation using the straight-line technique. The depreciable basis, or the amount that can be depreciated, is the result. Divide this figure by the number of years the asset will be useful.
Depreciation is the rate at which an object's value declines over time.
it is given by the formula,
A = P [tex](1-r)^t[/tex]
where A is the value of object after x period of time, P is the principal amount, r is the rate of depreciation, and t is the for the time period.
Given:
Terrence buys a new car for $20,000,
rate of depreciation = 15%,
We know the formula of the rate of depreciation,
A = P [tex](1-r)^t[/tex]
Here A= $20, 000
r = 15% = 0.15
So, the value of Terrence's car is A = 20,000 ( [tex]1-0.15)^x[/tex].
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What is 1,289,845 rounded to the nearest ten thousand?
1,289,845 rounded to the nearest ten thousand is 1,290,000.
Explanation:To round 1,289,845 to the nearest ten thousand, we need to look at the digit in the ten thousandth place, which is the 8 in this case. If the digit is 5 or greater, we round up, and if it is less than 5, we round down. Since the 8 is greater than 5, we round up. To do this, we keep the digit in the ten thousandth place as it is and change all the digits to the right of it to zeros. Therefore, 1,289,845 rounded to the nearest ten thousand is 1,290,000.
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What’s twice the difference of a number and 8 is at least -20 using x as a variable into a inequality please help!!!
9u^2^v and which term are like terms?
A.6u^2
B.9uv^2
C.15u^2^v
D.13u^2^v^2
Express 3/10 + 45/100 as a fraction with denominator 100
1. Describe how the figures are alike.
2. Describe how the figures are different.
All figures are in 3-D form. But the base of each polygonal prism is different.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to identical top and bottom faces. The name "prism" refers to the form of these bases.
All figures are in 3-D form. And all the figures are polygonal prism.
But the base of each polygonal prism is different.
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jerry is 4 years older than hunter the sum of their ages is 24 how old is jerry
Ryan and his friends flip 4 coins. What is the probability that they will flip 2 heads and 2 tails?
there are 5280 feet in a mile. how many feet are in 7/11 of a mile
To find the number of feet in 7/11 of a mile, you multiply 5280 (the number of feet in a mile) by 7/11. The answer is 3360 feet.
Explanation:To calculate how many feet are in 7/11 of a mile, you first have to understand that there are 5280 feet in one mile. If you need to find out the feet in a fraction of a mile, you can multiply this number of feet in one mile by that fraction. In this case, the fraction is 7/11. So, the calculation would go as follows:
5280 feet/mile * 7/11 mile = 3360 feet.
Therefore, 7/11 of a mile is equivalent to 3360 feet.
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Number 8 question please answer
Wayne is solving a system of linear equations.
y= -3/4x+5
X= -2
To solve this system, he graphed the line y= - 3/4x+5
When Wayne graphs the line x= -2, at which point will he find the solution of this system of linear equations?
after painting his porch jamil had a 1/4 can of paint left the radius of the can is 8 cm and the height is 20 cm he wants to put the remaining paint into a smaller can with a radius of 5 cm
what does the height of the smaller can need to be to hold all the paint.
Answer:
The height of small can need to be 12.8 cm to hold all the paint
Step-by-step explanation:
- Jamil had a 1/4 can of paint left
- The radius of the can is 8 cm and its height is 20 cm
- He wants to put the remaining paint into a smaller can with a
radius of 5 cm
- We need to find the height of the smaller can
- The volume of the paint in the larger can is the same volume of paint
will put in the smaller can
- Lets find the volume of the paint in the larger can
∵ The volume of the paint in the larger can = 1/4 its volume
∵ The can is shaped a cylinder
∵ Volume the cylinder = πr²h, where r is the radius of it and h its height
∵ r = 8 cm and h = 20 cm
∴ The volume of the paint = [tex]\frac{1}{4}\pi (8)^{2}(20)=320\pi[/tex] cm³
- Same amount of paint will put in the smaller can
∵ r = 5 cm and V = 320π cm³
∴ 320π = π(5)²h
- Divide both sides by π
∴ 320 = 25 h
- divide both sides by 25
∴ h = 12.8 cm
* The height of small can need to be 12.8 cm to hold all the paint
The height of the smaller can need to be to hold all the paint will be 12.8 cm.The term height is frequently used to describe someone's or something's height.
What is the height?Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.
From the given conditions;
The volume of the paint in the larger can is,[tex]\rm V_L[/tex]
The volume of the paint in the smaller can is,[tex]\rm V_S[/tex]
The volume of the cylinder is, V
The radius of the can is,r= 8 cm
The height is,h=20 cm
The volume of the paint in the larger can is found as;
[tex]\rm V_L = \frac{1}{4} V \\\\ V=\pi r^2 h \\\\ V_L= \frac{1}{4} \pi (8)^2 (20) \\\\ V_L = 320 \pi \ cm^3[/tex]
The volume of the larger can is equal to the volume of the smaller can;
[tex]\rm V_S = V_L \\\\ 320 \ \pi \ cm^3=\pi r^2 h \\\\ \pi \ cm^3=\pi (5)^2 h \\\\ 320=25h \\\\ h =12.8 \ cm[/tex]
Hence the height of the smaller can need to be to hold all the paint will be 12.8 cm.
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Darrel loaned his friend $2500 to help him with his business. If his friend pays Darrel back in 1 year with 15% simple interest, how much will he owe Darrel altogether?
Answer: $2875
Step-by-step explanation:
The formula to calculate the simple interest is given by :-
[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.
Given: Principal amount = $2500
Rate of interest = 15%=0.15
Time period = 1 year
Now, the simple interest gained by Darrel after 1 year will be :-
[tex]S.I.=2500\times 0.15\times 1=\$375[/tex]
Now, the total amount his friend owed altogether= [tex]P+I=2500+375=\$2875[/tex]
The scale on a map is 1:500000
Two towns are 7cm apart on the map
work out the actual distance between the map
Give your answer in kilometres
The actual distance between the two towns, considering that they are 7cm apart on a map with a scale of 1:500000, is 35 kilometers.
Explanation:
In the given scenario, you're being asked to find the actual distance between two towns based on their distance on a map, using the map's scale, which is 1:500000. This means 1 cm on the map is equivalent to 500000 cm on the ground.
Since the towns are 7 cm apart on the map, the actual distance on the ground will be 7 (distance on the map) multiplied by 500000 (scale of the map), i.e., 3500000 cm. Since there is 100000 cm in 1 km, you convert the distance to kilometers by dividing by 100000. Hence, the actual distance is 3500000/100000 = 35 km.
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solve the linear system using substitution. SHOW WORK HELP ME PLEASE
Plz help!I don’t understand
What is the area of this figure? Drag and drop the appropriate number into the box. A = cm² 108 135 189 318 A shape made up of a square with the length measuring 9 centimeters and a height measuring 9 centimeters. There are two equally sized right triangles attached to the square. The base of each triangle measures 9 centimeters. The height of each triangle measures 12 centimeters. The remaining side of each triangle measures 15 centimeters.
Answer:
the answer is 189
Elena always puts 5/12 of the money she makes at work in her savings account. If she made $192 at work, how much money did she put in her savings account?
If she made $192 at work. Then the amount of money she puts in her savings account will be $80.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Elena always puts 5/12 of the money she makes at work in her savings account. If she made $192 at work.
Then the amount of money she puts in her savings account will be
→ 5/12 x 192
→ 80
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50 points 3/8 x 54
A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters. How high off the ground is the top of the monument?
Answer:
65 meters off the ground.
Step-by-step explanation:
The height of the monument is 9.80 m
Explanation:To find the height of the monument, we can use the Pythagorean theorem. The rectangle on the pedestal forms a right triangle with the longest side of the monument being the hypotenuse. Let's call the height of the monument 'h'. Using the Pythagorean theorem, we have:
[tex]h^2 = (11^2) - (5^2)[/tex]
[tex]h^2 = 121 - 25[/tex]
[tex]h^2 = 96[/tex]
[tex]h = \sqrt{96[/tex]
h ≈ 9.80 meters
A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?
A.
1200π ft2
B.
1260π ft2
C.
1800π ft2
D.
2940π ft2
The exact surface area of the cylinder with a radius of 30 ft and height of 19 ft is calculated using the formula 2πr(h + r), resulting in an area of 2940π ft², which matches option D.
To find the exact surface area of a cylinder, we use the formula that states the surface area (SA) is SA = 2πr(h + r), where r is the radius and h is the height of the cylinder. Given that the radius (r) is 30 ft and the height (h) is 19 ft, we plug these values into the formula:
SA = 2π(30)(19 + 30)
SA = 2π30(49)
SA = 60π(49)
SA = 2940π ft²
Therefore, the exact surface area of the cylinder is 2940π square feet, which corresponds to option D.
What is the value of 83?
help please really don't understand
a number is added to 9. the result is then multiplied by 4 to give a new result of 120. what is the number ?
Answer:
n=21
Step-by-step explanation:
Ik im late but hopefully it can help other people :)
The equation is :
4(9+n)=120
n+9=120/4
n+9=30
n+9-9=30-9
n=21
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A local pizzeria sold 65 pizzas yesterday. Suppose the number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.