Answer:
see below (I hope this helps!)
Step-by-step explanation:
A real-life situation for this inequality could be "Tom runs a lemonade stand. His profit is x. If Tom knows that his profit is less than 2 dollars, what inequality represents this situation?"
4a^2-20a+24+6y-9y^2
Answer:
4a^2-20a+24+6y-9y^2
Step-by-step explanation:
The expression 4a^2-20a+24+6y-9y^2 can't be simplified further since the terms in this expression are unlike terms
Hope this helps ;) ❤❤❤
The Turners want to carpet the cement around their rectangular pool. The dimensions for the rectangular area formed by the pool and its cement walkways are 20 ft by 30 ft. The pool is 12 ft by 24 ft. Carpet is sold only by the square foot. If the carpet costs $1.95 per square foot, what will be the total cost of the carpet?
Answer:
$1,170
Step-by-step explanation:
Area around the pool = 20 x 30
Pool = 12 x 24
Carpet is sold $1.95 by square foot
Use formula A = bh
Plug it in: A = 20 x 30
So they need 600 sq ft of carpet.
Multiply 600 by 1.95 to get 1170
The total cost = $1,170
Answer:
$608.40
Step-by-step explanation:
Dimensions of pool: 12 ft by 24 ft
Dimensions of pool & cement walkways: 20 ft by 30 ft
The pool is a rectangle that sits inside the walkways. The area of the walkways (AW) is the area of the pool & walkways (the 20 ft by 30 ft rectangle) minus the area of the the pool (the 12 ft by 24 ft rectangle). Once we know the area of the just the walkways (AW), we multiply it by the price of the carpet too find the cost of the carpet.
area of walkways = area of pool & walkways - area of pool
AW = 20 ft * 30 ft - 12 ft * 24 ft
AW = 600 ft^2 - 288 ft^2
AW = 312 ft^2
The area of the walkways alone is 312 ft^2. Now we multiply it by the unit cost of carpet to find the cost of the carpet needed for the walkways.
cost = AW * unit rate
cost = 312 ft^2 * $1.95/ft^2
cost = $608.40
Make x the subject of y = 4x + 1
You may use the flowchart to help you if you wish.
Answer:
x = [tex]\frac{y-1}{4}[/tex]
Step-by-step explanation:
Given
y = 4x + 1 ( subtract 1 from both sides )
y - 1 = 4x ( divide both sides by 4 )
[tex]\frac{y-1}{4}[/tex] = x
A Local clothing shop is marking down all of its summer clothes by 75%. Keesha would like to purchase a swimsuit that is originally priced at $80. What is the markdown price of the swimsuit?
Answer:
Markdown price is $60.
Step-by-step explanation:
The discount offered on the cloths by the clothing shop = 75%
Since we know that the markdown price is the amount by which the original price is decreased. So, the markdown price can be calculated by multiplying the original price with a discount rate. Here, below is the calculation.
Markdown price = $80 × 75% = $60
A 12-pack of Cokes costs $5.40. How much does each Coke cost?
Answer:
$0.45
Step-by-step explanation:
$5.40/12 = $0.45
If A 12-pack of Cokes costs $5.40 then each Coke costs $0.45.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Cost of 12- pack of Cokes = $5.40.
To find the cost of one Coke cost,
Use ratio property,
12 packs of cakes = $5.40
1 pack of cakes = 5.40/12
1 pack of cake = 0.45
The price of one pack of cake is $0.45
To learn more about Ratio on :
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5. (01.07)
Solve 3x - x + 2 = 12. (1 point)
Answer:
x = 5
Step-by-step explanation:
Simplify. First, combine like terms:
3x - x + 2 = 12
(3x - x) + 2 = 12
(2x) + 2 = 12
2x + 2 = 12
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is your order of operation.
First, subtract 2 from both sides:
2x + 2 (-2) = 12 (-2)
2x = 12 - 2
2x = 10
Next, divide 2 from both sides:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
Check: Plug in 5 for x in the equation. Solve:
3(5) - (5) + 2 = 12
15 - 5 + 2 = 12
10 + 2 = 12
12 = 12 (True)
~
Answer:
x = 5
Step-by-step explanation:
Combining like terms, we get 2x = 10. Dividing both sides by 2 yields
x = 5
Please solve: 8n+2≤8n−9! Show your work please!
You have \$20$20dollar sign, 20 to spend on taxi fare. The ride costs \$5$5dollar sign, 5 plus \$2.50$2.50dollar sign, 2, point, 50 per kilometer. Write an inequality to determine the distance in kilometers, ddd, you can ride for \$20$20dollar sign, 20. What is the maximum distance, in kilometers, you can ride for \$20?$20?
Answer:
The answer is 8 kilometers.
Step-by-step explanation:
Let X be the total cost of the taxi fare and Y be the distance traveled. If the taxi fare costs $5, $2.5 for each kilometer, we can write an inequality such as
X = 2.5 x Y.
If the total amount of money for the ride is $20, when we put it into the inequality, 20 = 2.5 x Y
Y = 20 / 2.5 = 8.
For $20 you can ride for a maximum distance of 8 kilometers.
I hope this answer helps.
Answer:
Equation: 5+2.5d≤20
Kilometers: 6
Step-By-Step Explanation
Answer for Khan Academy and also correct for sure promise ;)
Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?
Answer:
12%
Step-by-step explanation:
Cost Price of the MP3 player =$150
Sales Tax = 8 %
Total sales tax= Tax * Cost Price
= [tex]\frac{8}{100} * 150[/tex]
=12%
He payed a total of 12% sales tax
Find the next three terms of each sequence. 2, -3, -8, -13
Answer:
-18, -23, -28
Step-by-step explanation:
It looks like it is going down by -5
-18, -23, -28. Just subtract by 5 every time
solve the following equation for D. be sure to take into account whether a letter is capitalized or not.
hD=m
Answer:
b
Step-by-step explanation:
The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
hD = m
To solve for D make the subject as D
As we know the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Divide by h on both the sides:
hD/h = m/h
Here h ≠ 0
D = m/h
Thus, the expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.
Learn more about the expression here:
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what is the answer (13-5)² +(16÷2)
Answer:
72
Step-by-step explanation:
13-5=8^2
16/2=8
(8*8)+8
64+8
=72
Answer: [tex]72[/tex]
Subtract
[tex](13-5)^2\\=8^2[/tex]
Multiply
[tex]8^2=64\\8*8=64[/tex]
Divide
[tex]16/2=8[/tex]
Add
[tex]64+8=72[/tex]
Write as a decimal: 9/100
Answer:
0.09
Step-by-step explanation:
When you divide a number by 100, you move the decimal to the left 2 steps because there are two zeros.
dan rented a truck for one day. there was a base fee of $15.88, and there was an additional charge if 78 cents for each mile driven. dan had ti pay $247.65 when he returned the truck. for how many miles did he drive the truck?
Answer:
297 miles
Step-by-step explanation:
cost = 0.78 cents per mile + base fee
y = 0.78x + 15.88
247.65 = 0.78x + 15.88
subtract 15.88 from both sides
231.77 = 0.78x
divide by 0.78 on both sides
x = 297.14120256
297 miles
Answer:
297.1410256 = m
Step-by-step explanation:
charge = 15.88 + .78m where m is the miles driven
247.65 = 15.88 + .78m
Subtract 15.88 from each side
247.65-15.88 = .78m
231.77 = .78m
Divide each side by .78
231.77/.78 = m
297.1410256 = m
A partnership owned equally by 15 partners is worth $1.5 million. The partnership loses a lawsuit
worth $5 million. What is the value of any personal property each partner must forfeit to pay the
settlement?
Answer:
Hey there!
5000000-1500000=3500000
3500000/15=$233333.33
Your answer should be $233333.33
Let me know if this helps :)
need help with this asap, please
Answer:
Perimeter = 3√5 + 6 + √73 + √58 + 5√2Step-by-step explanation:
[tex]AB=\sqrt{(6-0)^2+(5-8)^2}=\sqrt{36+9}=\sqrt{45}=3\sqrt5\\\\BC=|-1-5|=|-6|=6\\\\CD=\sqrt{(-2-6)^2+(-4-(-1))^2}=\sqrt{64+9}=\sqrt{73}\\\\DE=\sqrt{(-5-(-2))^2+(3-(-4))^2}=\sqrt{9+49}=\sqrt{58}\\\\EA=\sqrt{(0-(-5))^2+(8-3)^2}=\sqrt{25+25}=\sqrt{25\cdot2}=5\sqrt2[/tex]
a botanist is monitoring the growth of a young tree and notices it is growing linearly. In fact, she realizes it is growing 3 inches every week. Unfournately , she forgot to begin recording until well into the growing process. what she does know is that it is currently week 17 and the tree is currently 4 feet and 8 inches tall. use the info. to model the situation with an equation in point slope form sliplify the equation to slope intercept form how tall was the seedling of the tree when the botanist received it? how tall with the tree be on week 30?
Answer:
1) The equation in point and slope form is y - 56 = 3·(x - 17)
2) The above equation in slope and intercept form is y = 3·x + 5
3) The height of the sidling when the botanist received it = 5 inches
4) The height of the tree on week 30 = 7 feet 11 inches
Step-by-step explanation:
The given parameters for the equation are;
The rate of growth of the young tree = 3 inches/week
The current height of the tree = 4 feet 8 inches = 56 inches
The current time since start of growth (time duration of growth) = 17 weeks
With the given information, we have;
The height of the tree, y = The dependent or y-variable
The time for the growth, x = The independent or x-variable
The slope = the rate of growth = 3 inches/week
At week, x = 17, y = 56 inches
1) The information presented in point and slope form is given as follows;
y - 56 = 3·(x - 17)
2) Simplifying the above equation to slope and intercept form, y = mx + c
Where;
m = The slope
c = The y-intercept
We have;
y = 3·x - 51 + 56 = 3·x + 5
y = 3·x + 5
Therefore the y-intercept = 5
3) The y-intercept = 5 which gives the value of the height of the tree at time x = 0 as follows;
At x = 0 when the tree was first received, the height of the tree, y = 3·x + 5 = 5 inches
4) On week 30, the height, y of the tree will be, y = 3 × 30 + 5 = 95 inches = 7 feet 11 inches.
A cube and a square pyramid were joined to form the composite solid. A cube with side lengths of 12 inches. A square pyramid with triangular sides with a height of 9 inches. What is the total surface area of the composite solid? 792 square inches 936 square inches 1,080 square inches 1,152 square inches P.S. Yes, I know 100 points, i'm pretty generous, lol
Answer:
total surface area = 936 in²
Step-by-step explanation:
total surface area = surface area of the pyramid + surface area of the cube
1. surface area of the pyramid = 4 * area of lateral triangle side
area of lateral triangle side = 12 * 9 /
area of lateral triangle side = 54 in²
2. surface area of the pyramid = 4 * 54
surface area of the pyramid = 216 in²
3. surface area of the cube = 5 * (12 x 12)
-surface area of the cube = 720 in²
therefore, the total surface area = 216 in² + 720 in²
total surface area = 936 in²
Answer:
C
Step-by-step explanation:
Please refer to the given picture (sorry, it's a rather bad drawing.)
Anyways, we know that the cube has side lengths of 12. Since the figure is a cube, all the side lengths are 12. Let's find the surface area of the cube first.
The cube has six faces. However, we only need to do five faces because one of the faces is the face that connects the cube to the pyramid. Because of this, we won't count it towards the surface area. Therefore, the total surface area of the cube would be:
[tex]5(bh)[/tex]
The bh represents the area of one face. The five multiplies that amount by five, giving us the surface area of the cube. Plug in 12 for the base and 12 for the height:
[tex]5(12)(12)=5(144)=720[/tex]
Therefore, the surface area of the cube (excluding one face) is 720 square inches.
Now, find the surface area of the square pyramid. The square pyramid is composed of four congruent triangles and one square base. Again, since the square base is connecting it to the cube, we won't count it. So, we only need to find the area of the four triangles and then add it to 720.
We are given that the height of the pyramid is 9. The base of all four triangles is 12 (since the side length of the cube is 12). However, to find the area, we first need to use the Pythagorean Theorem to determine x or the actual height of one of the triangles. We won't use 9 as the height because the 9 doesn't represent the height of the triangle, but rather of the pyramid. x is essentially the hypotenuse here. Thus:
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
Plug in 9 for a, 12 for b, and x for c:
[tex]9^2+12^2=x^2\\x^2=81+144=225\\x=\sqrt{225}=15[/tex]
Therefore, the height of the triangles is 15. Now, we can use the area formula for triangles:
[tex]A=\frac{1}{2} bh[/tex]
The base is 12 and the height is 15. Thus:
[tex]A=\frac{1}{2}(12)(15)=6(15)=90[/tex]
And there are four of them, so the total surface area is:
[tex]4(90)=360[/tex]
Therefore, the total surface area of the composite figure (excluding the one face) is:
[tex](720+360)=1080\text{ in}^2[/tex]
f(x) = x-2
g(x) = x2+1
Find (f - g)(2)
Answer: I think the answer is -x^2+x-6
Step-by-step explanation: I think it's like this as it is in the image below. I hope it's right and helps you!
Two cubes each measure 7 units on each side.Write an expression using exponents to represent the total volume of the cubes.
Your answer:
Answer:
(7³ + 7³) cubic units
Step-by-step explanation:
The formula for the volume of a cube = (Side length)³
From the question, we are told that, we have two cubes
Cube 1 :
Side length = 7
Volume of cube 1 = 7³ cubic units
Cube 2
Cube 2 also has a side length of 7 as well
Volume cube 2 = 7³ cubic units
We are asked in the question to find the total volume of the cube and express as exponents
Total volume = Volume of cube 1 + Volume of cube 2
=( 7³ + 7³) cubic units
*PLEASE ANSWER TY* What is the volume of this prism?
Answer: B. 23.9 cm³
Step-by-step explanation:
V = AH
A (area of the triangle base): 6×3÷2=9cm²
H (height of the prism): 2.65 cm
------------------------
V = AH
V =(9) (2.65)
V = (23.85)
V= 23.85cm²
≈23.9
Find the length of CV¯¯¯¯¯¯¯¯ A. 43.92 B. 33.1 C. 68.87 D. 41.45
Answer: B. 33.1
Step-by-step explanation:
Use sin to solve (opposite/hypotenuse)
let x= length of CV
sin(37)=x/55
x=55sin(37)
x≈33.1
Evaluate 3|-4| -12 12 4
Answer: 12
Step-by-step explanation: In this problem,
we first determine the absolute value of -4.
The absolute value of -4 is 4 so we have 3(4) which is 12.
Tap on the photo pls help
Answer:
49
Step-by-step explanation:
5^2 - 4(-3)(2)
5^2 - 4(-6)
25 - 4(-6)
25 - (-24)
49
Hope this helps!
49
25+24
you square 5 which is 25 than multiply -3 and 2 which is -6 than multiply by four
Plz help only given 5mins tell how they are similar by 1.sas 2.aa 3.sss 4.asa
Answer:
2. aa
Step-by-step explanation:
youre given all the angles so its proven to be similar by angle angle
Answer:
aa
Step-by-step explanation:
The two triangles have angles that are equal so we need to use the angles to prove similarity
We have all three angles that are equal
We only need two angles to use the AA postulate of similarity, which is if two angles are the same then the triangles are similar
Pls help if you’re good at trigonometry tysm! Best answer is brainliest!
Answer:
7) a = 65; b = 50
8) c = 125; d = 55; e = 52
9) f = 105
Step-by-step explanation:
7)
a = 65
b + 130 = 180
b = 50
8)
c = 125
d + 125 = 180
d = 55
e = 52
9)
(180 - f) + 32 + (180 - 107) = 180
180 - f + 32 + 180 - 107 = 180
-f + 285 = 180
-f = -105
f = 105
Answer:
a = 65, b = 50, c = 125, d = 55, e = 52, f = 105, g = 128, h = 40, j = 21, k = 71
Step-by-step explanation:
7. a = 65 degrees - (corresponding angles theorem) b = 50 degrees - (because of same sided interior angles theorem you have to do 180 - 130)
8. c = 125 (corresponding angles theorem) d = 55 (c & d are a linear pair so you have to do 180-125) e = 52 (alternate interior angles theorem)
9. f = 105 (Because of alternate interior angles theorem the angle that is 32 degrees and the angle next to it is 107. Next subtract 32 from it, which will make it a 75 degree angle. Lastly to find f use same sided interior angles theorem, this means subtract 180-75)
10. h = 40 (because of vertical angles theorem the other angle in the triangle is 52 degrees. Now find add 88 + 52 = 140, then subtract it from 180) g = 128 (same sided interior angles theorem)
11. j = 21 (First find the missing angle in the triangle. To do that add up all of the angles and then subtract it from 180. This makes the missing angle 39. Now subtract that from 60)
12. k = 71 (Since this is an isosceles triangle the 2 base angles will be congruent. Because of same sided interior angles theorem subtract 148 from 180, making it 32. We are trying to find the top angle of the triangle so add 32 + 110 = 142. Then subtract it from 180, 38. Now subtract 38 from 180, 142. Lastly divide it by 2, 71.)
Plz help ASAP Will mark u brainliest
Answer:
60 square feet
Step-by-step explanation:
area= length*width
a=5*12
a=60
Answer: 60 ft²
Step-by-step explanation: To find the area of the rectangular bedroom wall, we use the formula for the area of a rectangle, A = lw.
Since the length of the rectangle is 12 feet and the width of the rectangle
is 5 feet, we plug this information into the formula for length and width
and we have (12 ft)(5 ft) which simplifies to 60 ft².
So the area of the rectangular bedroom wall is 60 ft².
Write equivalent fractions for
online
and
9
using the least common denominator.
Type the fractions, using a slash ( /) to separate the numerator and denominator.
1/6
1/9
If you want fractions that are similar to the two fractions you have:
Because the fractions are already in their simplest form, you can continue to multiply the numerator (top number) and the denominator (bottom number) by two (one whole), which is represented by 2/2.
1/6 = 2/12 = 4/24...
1/9 = 2/18 = 4/36...
If you want to have the same value for each fraction but have the same denominator:
(1/6)(9/9) = 9/54
(1/9)(6/6) = 6/54
What is the minimum point of the graph???
Answer:
(-2,1)
Step-by-step explanation:
Since this is an upwards opening parabola, the minimum point is at the vertex
We can find the x coordinate of the vertex by
y = 2x^2 +8x +9
where a=2 b =8 and c =9
x = -b/2a
x = -8/(2*2)
= -8/4 = -2
The x coordinate is -2
Now substitute this in to find the y coordinate
y = 2(-2)^2 +8(-2)+9
= 2*4 -16+9
8-16+9
=1
The vertex = (-2,1), which is the minimum point
Answer:
Step-by-step explanation:
y=2x²+8x+9
to find the minimum or maximum point x=-b/2a
x=-8/4=-2
y=2(-2)²+8(-2)+9
y=8-16+9
y=1
minimum point is (-2,-1)
Two positive consecutive numbers are represented by x and x+1. If four is added to the first
number and two is subtracted from the second number, the quotient of the new numbers is
Determine the numbers algebraically.
Answer:
x and x+1
Step-by-step explanation:
x+4
x+1-2=x-1
So the quotient of the numbers is x+4/x-1