Answer:
His commission is 1642.69
Step-by-step explanation:
31/100=x/5299
Cross multiply
164,264/100=100x/100
1642.69=x
What is the surface area of this rectangular prism, in square meters? 3 m 7 m 13 m
Answer:
302
Step-by-step explanation:
7*13*2 + 3*7*2 + 3*13*2 = 302
The circumference of a circle is 94.2 millimeters. What is the circle's radius?
Answer:
14.99
Step-by-step explanation:
What is the volume of the circular cylinder if height is 25 and circumference 12
Answer:
V = 900π ≈ 286.47 units³
Step-by-step explanation:
C = 2πr
12 = 2πr
r = 12/2π = 6/π
V = 2πr²h
V = π(6/π)²(25) = π(36/π²)(25)
V = 36/π(25) = 900/π ≈ 286.47
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wrap around the can?
Answer:
218 cm²
Step-by-step explanation:
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can?
The formula to solve the above question is given as:
The curved or the lateral surface area of the cylinder = 2πrh
Where:
r = 3.4 cm
h = 10.2 cm
The curved or the lateral surface area of the cylinder = 2 × π × 3.4 cm × 10.2 cm
= 217.9 cm²
Therefore, the approximate area of the label that wraps around the can is
218 cm².
Rebecca solved
√45 + 2 √20. Her answer was 5 √5 . Is she correct? If not, explain and correct the error.
No.
[tex]\sqrt{45}=3\sqrt{5} \\2\sqrt{20} =2\sqrt5}[/tex]
If you add them up you DO NOT GET [tex]5\sqrt{5}.[/tex] According to mathematics, it equals to [tex]7\sqrt{5}[/tex].
Use long division to find each quotient. Show your computation and write your answer as a decimal.
a. 22÷5 b. 7÷8
Which sum or difference is modeled by the algebra tiles?
A. (x2 - 2x + 3) - (-x - 4x - 2) = 2x - 1
B. (x - 2x - 3) + (x2 - 4x + 2) = 2x - 1
C. (x2 - 2x-3) - (x + 4x + 2) = 2x - 1
D.(X2-2x-3) + (-x2 +4x+2)=2x-1
The sum or difference modeled by the algebra tiles shown in the image is: [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1[/tex]. The correct option is C.
What is algebra?Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols.
The tiles on the left side of the equation represent the polynomial x^2 - 2x - 3, which can be factored as (x - 3)(x + 1).
The tiles on the right side of the equation represent the polynomial -x - 4x - 2, which can be simplified as -5x - 2.
Substituting these expressions into the original equation, we get:
(x - 3)(x + 1) - (-5x - 2) = 2x - 1
Expanding the left side and simplifying, we get:
[tex]x^2 - 2x - 3 + 5x + 2 = 2x - 1[/tex]
Simplifying further, we get:
[tex]x^2 + 3x - 2 = 2x - 1\\x^2 + x - 1 = 0[/tex]
This is a quadratic equation that can be factored as (x + 1)(x - 1) = 0, which has roots x = -1 and x = 1.
Therefore, the sum or difference modeled by the algebra tiles is C. [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1.[/tex]
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earn 5 coins Which of the algebraic expressions below is equal to 20? Select all that apply. A) (5)(0.6) x 7 B) (C) (15) + 8 C) 4. (8 + 2) = 2 D) 14 + 4(2 + 3)
Answer:
A) (5)(0.6) x 7 = 3 x 7 =21
B) (C) (15) + 8
C) 4. (8 + 2) = 2 = 4(10)
D) 14 + 4(2 + 3) = 14 + 4(5) = 14 + 20 =34
Sorry not clear your question
Step-by-step explanation:
what's equivalent to y-1=-5(x-4). A,y=-5x-19. B,y=-5x+19 C,y=-5x-21 D,y=-5+21
Answer:
it must be y=-5x+21
Step-by-step explanation:
lets type the equation in front of us and make it simple so we can deal with it
y-1=-5(x-4)
first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this
y-1=-5x+20 -5*x=-5,, -5*-4=20 (note: when you multiply negative with
negative result is positive)
then add each side by 1 so it will be
y=-5x+21
Help please I really need it!!!
25% of what is 84? help me and my other questions, please.
Answer:
25% of 84 = 21
Step-by-step explanation:
please help due 15 min hurry
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 8 years?
Answer:
$90
Step-by-step explanation:
Given data
Price= $900
Rate= 25%
Time= 8 years
Let us apply the compounding formula
A= P(1-r)^t >>>>note that the negative sign is because of the depreciation
substitute
A= 900(1-0.25)^8
A= 900(0.75)^8
A= 900*0.100
A= $90
Hence the value of the car after 8 years will be $90
When the door was left open, 36 pigeons flew the coop. If this was 40 percent of all the pigeons, how many pigeons were there originally?
Answer: 90
Step-by-step explanation:
40 % = 0.40. X = number of pigeons. 0.4x =36
X = 36/0.4 = 90
What is the 18th term in this sequence?
5. 11, 17, 23. ...
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below: Step 1: 2(3x − 4) = 8 + 2x + 4 Step 2: 5x − 6 = 12 + 2x Step 3: 5x − 2x = 12 + 6 Step 4: 3x = 18 Step 5: x = 6 In which step did the student first make an error and what is the correct step? (5 points) Step 2; 6x − 6 = 2(6 + x + 2) Step 2; 6x − 8 = 12 + 2x Step 3; 5x − 2x = 12 − 6 Step 3; 5x + 2x = 12 + 6
Answer:
B: Step 2; 6x − 8 = 12 + 2x
Step-by-step explanation:
the student added 2 x 4 during the distributive property but you must multiply so you get 8 rather than 6.
Answer:
b
Step-by-step explanation:
If RSTU is a rhombus, find m< UTS.
R
S
(10x - 23)
T
(3x + 19)
Answer:
106°
Step-by-step explanation:
The requried measure of the angle m∠ UTS is given as 106°.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
here,
For rhombus,
Diagonal of the rhombus, it bisects the angle of the rhombus.
So,
10x - 23 = 3x + 19
x = 37
Now,
∠RUT + ∠UTS = 180
[37 + 37] + ∠UTS = 180
∠UTS = 180 - 74
∠UTS = 106°
Thus, the requried measure of the angle m∠UTS is given as 106°.
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Kyle earns $68.75 for mowing 3 lawns.
How much will he earn for mowing 8 lawns?
Answer:
I think the answer is 183.28
Step-by-step explanation: I divided 68.75 by 3 and got 22.91
so I multiplied 22.91 and 9.
A cylinder has a base with a radius of 7 cm and a volume of 615.44 cm3. Use 3.14 for π . Write and solve an equation to find the height of the cylinder.
Answer:
The height is 4 cm
Step-by-step explanation:
V = (pie) x radius² x height
615.44 cm³ = (3.14) x 7² x h
h = 615.44 cm³/(3.14 x 49)
h = 615.44 cm³/153.86
h = 4 cm²
In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
the length of NO to the nearest tenth of a foot.
N
38
X
M
87
Answer:
30.4
Step-by-step explanation:
the minimum charge the first 175 calls is rs 300 if the charge for each additional call is rs 350 how much is charge for 389 telephone calls
Answer:
136150
Step-by-step explanation:
One additional charge is 350
389 call charge-(350x389)
Therefore, total charge is 136150.
Explain how you found the unit rate for the previous activity. Then, explain how you used this information to graph this relationship.
Answer:
.
Step-by-step explanation:
. Neve is examining a tree limb. She notices that the smaller branches spiral away from the larger limb. The limb has 1 branch, then another single branch. After that, the branches spiral in the pattern {2, 3, 5, 8, …}. Can you model the tree growth with the Fibonacci sequence? Explain.
Answer:
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Step-by-step explanation:
Given: The smaller branches spiral in the pattern [tex]\{2,3,5,8,...\}[/tex] from a larger limb.
To model: the tree growth with the Fibonacci sequence
Solution:
Take [tex]a_1=2[/tex]
Let [tex]a_n[/tex] denotes the [tex]n^{th}[/tex] term.
[tex]a_2=3=2+1=2+(2-1)=a_1+(2-1)\\a_3=5=3+2=3+(3-1)=a_2+(3-1)\\a_4=8=5+3=5+(4-1)=a_3+(4-1)[/tex]
So,
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Answer:
Yes.
Step-by-step explanation:
The pattern in which the branches are growing off the limb is {1, 1, 2, 3, 5, 8, …}, meaning you can use the model with tree growth.
HELP MEEEEE PLEASEEEEEE
Answer:
8.6
Step-by-step explanation:
There is an easier way which is finding the slope of the equation but I'm going to stick to distance formula(which is easier for me).
For this, you would have to know the distance formula which is
d=√(x2−x1)^2+(y2−y1)^2
Which simplifies into [tex]\sqrt{(7)^2 +(5)^2}[/tex] which you get from 6-(-1) and -2-(-7)
Further simplifies into [tex]\sqrt{49+25}[/tex]
=[tex]\sqrt{74}[/tex]
=8.602325
use the distance formula:
√ ( x2 - x1 )² + ( y2 - y1 )²
√ ( 6 - ( - 1 ) )² + ( - 2 - ( - 7 ) )²
√ ( 7 )² + ( 5 )²
√ 49 +25
√ 74
8.602325267
8.6 is the answer
If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.
f(h + 9)
Answer:
Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)
The required value of each function is
f(h + 9) = 2(h + 6)
g(h + 9) = -(2h + 19)(h - 9)
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Now the given functions are,
f(x) = 2x – 6
g(x) = x – 2x²
Now putting x = h + 9 in f(x) and g(x)we get,
f(h + 9) = 2(h + 9) – 6
⇒ f(h + 9) = 2h + 18 – 6
⇒ f(h + 9) = 2h + 12
⇒ f(h + 9) = 2(h + 6)
and
g(h + 9) = (h + 9) – 2(h + 9)²
⇒ g(h + 9) = h + 9 – 2(h² + 81 + 18h)
⇒ g(h + 9) = h + 9 – 2h² + 162 + 36h
⇒ g(h + 9) = -2h² + 37h + 171
⇒ g(h + 9) = -(2h + 19)(h - 9)
Thus, the required value of each function is
f(h + 9) = 2(h + 6)
g(h + 9) = -(2h + 19)(h - 9)
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Given the series 2+ 6 + 18+
*
use an appropriate formula to find S12.
Please put full solution.
Answer: Samsung Galaxy S12
Answer:
S₁₂ = 531440
Step-by-step explanation:
There is a common ratio between consecutive terms, that is
r = 6 ÷ 2 = 18 ÷ 6 = 3
This indicates the sequence is geometric with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex] ( r ≠ 1 )
where a is the first term and r the common ratio
Here a = 2 and r = 3 , then
S₁₂ = [tex]\frac{2(3^{12}-1) }{3-1}[/tex]
= [tex]\frac{2(531441-1)}{2}[/tex]
= 531441 - 1
= 531440
Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space, m, m, end text, and 7\text{ mm}7 mm7, start text, space, m, m, end text. It has three acute angles. Complete the sentence to describe the triangle Lauren drew. Lauren's triangle is
Answer:
Lauren's triangle is an isosceles triangle
Step-by-step explanation:
Given the sides of a triangle as 7mm, 9mm and 7mm.
From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.
An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE
Answer:
Lauren's triangle is an isosceles triangle
Step-by-step explanation:
Given the sides of a triangle as 7mm, 9mm and 7mm.
From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.
An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE
I need help with studying
Can someone plz help me with this one problem plzzzzz
I’m Marking Brainliest!!!
Find the length indicated please!!