Answer:
4(x+3y)
Step-by-step explanation:
Given the expression X + 2x + 12y + x
First thing to do is combine the like terms;
X + 2x + 12y + x
= x+x+2x+12y
Add the like terms(Addition property)
= 4x + 12y
Then factor out the like terms
= 4(x+3y)
Hence the equivalent expression is 4(x+3y)
I will give you brainiest if you can answer the questions below.
An arc AB subtends an angle of 2.4 radians at the center O of a circle with radius 50 cm. Find the area and perimeter of sector AOB.
The bottom of a pendulum traces an arc 3 feet in length when the pendulum swings through an angle of ½ radian. What is the number of feet in the length of the pendulum?
Answer:
a. i. 3000 cm² ii. 220 cm b. 6 feet
Step-by-step explanation:
A. i. The area of the sector AOB is A = ¹/₂r²θ where r = radius of circle = 50 cm and θ = angle subtended at the center of the circle by the sector in radians = 2.4 radians.
So, A = ¹/₂r²θ
= ¹/₂(50 cm)² × 2.4 rad
= ¹/₂ × 2500 cm² × 2.4 rad
= 1250 cm² × 2.4 rad
= 3000 cm²
ii. The perimeter of the sector is P = 2r + rθ = (2 + θ)r
substituting r and θ, we have
P = (2 + θ)r
= (2 + 2.4) × 50 cm
= 4.4 × 50 cm
= 220 cm
B. Since length of an arc L = rθ where r = radius = length of pendulum and θ = angle swept by pendulum = ½ radian and length of the arc swept = 3 feet, the radius is
r = L/θ
= 3 feet ÷ ½ rad
= 3 × 2
= 6 feet
What is the smallest perfect square that can be written as the sum of three different prime numbers?
Answer:
19 is the smallest prime number that is the sum of three different prime number.
Step-by-step explanation:
To find this:
2 is the only even prime number and other prime numbers are odd
adding any two prime number always gives even number.
so the least numbers that are required to do is 3,5 and 7; their sum is 15
so any prine number less than 15 is not possible for this question
so, the next prime number is 17
17 minus any other prime no less 17 are13,11,7.5.3,2 give the number that 4,6,10,12,14,15 which are not sum of any two different prime numbers
so the answer is 19=11+5+3.
The smallest perfect square that can be written as the sum of 3 different prime numbers is; 16.
Prime numbers are numbers that can be divided by only themselves and 1.Now, we want to find the smallest perfect square that can be written as the sum of three prime numbers and so let us list the perfect squares from 1 to 30.
They are; 4, 9, 16, 25.
Now, for 4; sum of 3 different prime numbers cannot work here because it will give us 1 + 2 + 3 = 5.For 9; sum of 3 different prime numbers cannot work here because it will give us 2 + 3 + 5 = 10.For 16; sum of 3 different prime numbers will work here because it will give us 2 + 3 + 11 = 16Thus, the smallest perfect square that can be written as the sum of 3 different prime numbers is 16.Read more at; https://brainly.in/question/17539113
In 1978, the Social Security and Medicare rate combined was 6.05%, up to $17,700 earned. Express the Social Security tax s(x) for 1978 as a piecewise function. Ten years later, the percent had increased to 7.51% and the maximum taxable income had increased to $45,000. Express the Social Security tax s(x) for 1988 as a piecewise function. If a person earned $50,000 in 1978, and $50,000 in 1988, what was the difference in the Social Security and Medicare taxes paid?
Answer:
Step-by-step explanation:
From the given question:
a) The piecewise function for the Social Security tax s(x) is expressed as:
s(x) = x * 6.05% when x < $17,700
The 6.05% of the given amount is:
= (6.05/100) * 17700
= 1070.85
s(x) = 1070.85 when x ≥ $17,700
b) Ten years later, i.e. 1988; the percentage had increased to 7.51% & maximum taxable income also increased to $45000
The piecewise function for the Social Security tax s(x) is expressed as:
s(x) = x * 7.51% when x < $45,000
The 7.51% of the given amount is:
= (7.51/100) * 45000
= 3379.5
s(x) = 3379.5 when x ≥ $45,500
c) The difference in the Social Security and Medicare taxes paid is as follows:
In 1978, s(x) = 1070.85 when x ≥ $17,700
In 1988, s(x) = 3379.5 when x ≥ $45,500
The difference in the Social Security and Medicare taxes paid = $3379.5 - $1070.85
The difference in the Social Security and Medicare taxes paid = $2308.65
In 1988 $ 1,578.65 less was paid than in 1978.
Given that in 1978, the Social Security and Medicare rate combined was 6.05%, up to $ 17,700 earned, while ten years later, the percent had increased to 7.51% and the maximum taxable income had increased to $ 45,000, to determine, if a person earned $ 50,000 in 1978, and $ 50,000 in 1988, what was the difference in the Social Security and Medicare taxes paid, the following calculations must be performed:
(50,000 - 17,700) x 0.0605 = year 1978 1,954.15 = year 1978 (50,000 - 45,000) x 0.0751 = year 1988 375.50 = year 1988 year 1978 - year 1988 = 1,578.65
Therefore, in 1988 $ 1,578.65 less was paid than in 1978.
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Answer:
we cant see the question
evaluate 3(c+d) if c = 8 and d = -5
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3(c + d)
c = 8
d = -5
Step 2: Evaluate
Substitute: 3(8 - 5)Subtract: 3(3)Multiply: 9Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?
Question 5 options:
A.The line for one equation is steeper than the other.
B.The line will move from crossing at the y-axis at 5 down to crossing the y-axis at -3
C.The y-intercepts are the same in both equations.
D.The line for each equation will be the same.
Needed A.S.A.P thank you very much!!
Answer:
Option B is correct
Step-by-step explanation:
The equation of a straight line is given as;
y = mx + b
where m is the slope and b is y-intercept
Let’s evaluate the options one after the other;
A. This is wrong as they both have same slope of 2
C. The y-intercepts are not the same
One is 5, the other is -3
D. This is wrong, the line cannot be the same
Option B is correct
The y-intercept of both varies
While 1 is already appreciated, the other is coming back
The float committee made a scale model of their float before they started construction. The float committee used the scale 1 inch: 3 feet to create their model. The actual float will be 18 feet long. What is the length of the scale model float in inches? Enter your answer in the box.
Answer: The float committee made a scale model of their float before they started construction. The float committee used the scale 1 inch : 3 Feet to create their model. The actual float will be 18 feet long.
So this being said.
Step-by-step explanation:
Your answer should be 6 inches. I hope this helps!
The length of the scale model of the float is required.
The length of the scale model would be 6 inches.
Scale diagramsIt is given that one inch of the scale model of the float is three feet of the actual float.
[tex]1\ \text{inch}=3\ \text{feet}[/tex]
Now, what 1 feet of the float represents in the scale model is required.
So, we divide both sides by 3
[tex]1\ \text{feet}=\dfrac{1}{3}\ \text{inch}[/tex]
The length of the actual float is 18 feet.
[tex]18\ \text{feet}=18\times \dfrac{1}{3}=6\ \text{inches}[/tex]
Learn more about scale diagrams:
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10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal
whats the partial products for 15x32
Answer:
160 & 320
Step-by-step explanation
Convert 7/4 into a decimal
Answer:
1.75
Step-by-step explanation:
7/4 is 1 3/4, which is 1.75
Hope this helps plz mark brainliest if correct :D
Answer:
1.75
Step-by-step explanation:
A restaurant offers delivery for their pizzas.The total cost is a delivery fee added to the price of the pizzas.One customer pays $25 to have 2 pizzas delivered.Another customer pays $58 for 5 pizzas.How many pizzas are delivered to a customer who pays $80?
Answer:
x-the cost of one pizza
y-the cost of delivery
2x+y=25
5x+y=58 ->3x=33->X=11->y=3
so,the number of delivered pizzas to the person
num=(80-3)/11=7
Step-by-step explanation:
Find the slope of the line that passes through (1,3) and (8,9)
Answer:
6/7
Step-by-step explanation:
The difference of twice a number and 9.
Answer:
2(9-x)
Step-by-step explanation:
Answer:
2n - 9
Step-by-step explanation:
Twice a number is referring to 2 times n or just 2n. To find the difference you would subtract 2n and 9, 2n - 9
What is the value of x when 3x=54?
A) x=18
B) x=51
C) x=57
D) x=162
Answer:
18
Step-by-step explanation:
54 ÷ 3 = 18
................
what is the answer to 4w^4+w^4+3w^2-2w^2
Answer: 5w⁴ + w²
Step-by-step explanation: Pic is attached. Hope this helps. Sorry for bad handwriting, Im writing with a mouse.
Need some serious help ASAP (will give brainliest)
An angle measures 48° more than the measure of its complementary angle. What is the
measure of each angle?
Answer:
The angles measure 21 degrees and 69 degrees.
Step-by-step explanation:
Complementary angles have a sum of 90 degrees when added together.
Let's call the complementary angle x. We can write the angle that we're looking for as in terms of x as x + 48.
Since these angles must sum to 90 we can write the equation and solve:
x + x + 48 = 90
2x + 48 = 90
2x + 48 - 48 = 90 - 48
2x = 42
x = 21
x + 48 = 69
21 degrees and 69 degrees.
Answer:
69° and 21° is the answer.
using the slope formula find the slope of the line that passes through these points (3,7) and (3,5)
Answer:
Undefined
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ]
5-7/3-3
-2/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
M is the amount of money the students collect for selling R raffle tickets. Write an equation that reflects the relationship between M and R?
Answer:
M=24/10R
Step-by-step explanation:
7. I sell cookies for $2 and muffins for $5. Yesterday, I made $35. I sold a total of 13 items.
How many of each did I sell?
Given the replacement set:
b={4.4, 5.4, 6.4}
Which inequality is true?
b−6>10.4
b+6<10.4
b−8≥12.4
b+8≥12.4
Answer:
b+8≥12.4
Step-by-step explanation:
Here, we want to select the correct option
From what we have here;
b ≥12.4-8
b ≥ 4.4
Looking at the range of values in the set
We can see that the smallest of values is 4.4
This tells exactly the correctness of the last option as the values of b are 4.4 or greater
The last one is $30 which one ?
Answer:
it may be 30
Step-by-step explanation:
becasue 6x2 is 12 half hour $3 and kayak 15 all that is 30
Answer:
it's 30
Step-by-step explanation:
15 + 6 + 6 + 3
15+15
15 was the down payment, plus six dollars for the hours he was there and then three dollars for the half hour.
A salesman drove from his home to a nearby city at an average speed of 40 mi/h. He returned home at an average speed of 50 mi/h. What was his average speed for the entire trip?
Answer:
44.44 mph
Step-by-step explanation:
[tex]speed = \frac{distance}{time} = \frac{distanceTo + distanceFrom}{time1 + time2} = \frac{2d}{\frac{d}{40} + \frac{d}{50} }[/tex]
= [tex]\frac{2d}{\frac{5d + 4d}{200} } = \frac{2d}{\frac{9d}{200} }[/tex]
= 2d * [tex]\frac{200}{9d}[/tex]
= 400 / 9
= 44.44
Answer:
44.4 miles per hour
Step-by-step explanation:
d = the distance between cities
t 1= the time from home to the city
t 1 = the time . from the city to home
2d/t1 + t2 = 2d/ d/40 + d/50
=2d/5d+4d =2d/9d
divide both sides by 200
=2d * 200/9d =400/9
= 44.4
WILL GIVE BRAINLIEST!!!
Determine which value does not belong. explain your decision. there is more than one possible answer.
1/20
20/25
2/3
5/4
Answer:
2/3
Step-by-step explanation:
1/20 -0.05
20/25 -0.8
2/3 -0.6666666666
5/4-1.25
Stacy goes to the county fair with her friends . The total cost of ride tickets is given by the equation c=3.5t , where c is the total cost of tickets and t is the number of tickets . If Stacy brought 15 tickets she would spend how much money ?
Answer:
$52.5Step-by-step explanation:
Step one:
given data
we are given that the linear function for the cost is c=3.5t
c is the cost and
t is the number of tickets.
We are told that t=15, to find c, let us put the value of t in the linear function for the cost
[tex]c=3.5(15)\\\\c=52.5[/tex]
This shows that 15 tickets will cost $52.5
Identify the slope of each of the following equations.
(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?
Answer:
fg nyg jhb jhg ewvjh
Step-by-step explanation: wedf hcx sdf hbvc
3.The school principal spent $2,000 to buy some new computer equipment.
Of this money, $120 was used to buy some new keyboards. What percent
of the money was spent on keyboards?
Answer:
6%
Step-by-step explanation:
120 / 2000 = 0.06
Move the decimal two places to the right to go from decimal to percentage, and you get 6, or 6%
90% of the seniors at Richmond high school will attend the school prom. If 270 seniors attend
the prom, how many seniors go to the high school?
Answer:
243
Step-by-step explanation:
make 90% into a decimal
0.9
multiply 270 by 0.9 to get the answer of 243
...........................
Answer:
20
Step-by-step explanation:
5 divided by 1/4= 20
PLZ HELP!!!
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a
missing piece. You may choose to write a problem that is two- or three-dimensional in nature.
Be sure that you will be able to draw a diagram of your scenario. Be sure to end your scenario
with a question. (Example: There is a bike ramp that measures 3 feet tall and 4 feet wide. What
is the slant length of the ramp?)
Answer:
Step-by-step explanation:
A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder. Hope this helps.