Final answer:
By setting up and solving the equation 3x - 4 = 2x + 6, we find that the number in question is 10. This process involves aligning the equation to solve for the variable x, representing the number we seek.
Explanation:
If we multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. To find this number, we can set up an equation based on the given conditions.
Let's let the number be x. According to the first condition, multiplying x by 3 and then subtracting 4 can be represented as 3x - 4. According to the second condition, adding 6 to twice the number can be represented as 2x + 6.
The two expressions are equal, so our equation is 3x - 4 = 2x + 6.
Subtract 2x from both sides: x - 4 = 6.
Add 4 to both sides: x = 10.
Therefore, the number we are looking for is 10.
What is the growth factor of y=70(2)^x
Answer:
100% growth rate or it doubles
Step-by-step explanation:
This is of the form
y = ab^x
where a is the initial value and
b is the growth/decay factor
b>1 growth
b<1 decay
Since b>1 it is growth
We determine the growth rate by
b-1
2-1 =1
Multiply by 100%
1*100% = 100 % growth rate
what is the coordinate if (2,2) is reflected over the line x=2
Answer:
-2,2
Step-by-step explanation:
5.Last Sunday, 4 of the houses had some cars parked outside. If there
were 4 cars outside each house. How many cars were there in total?
Translate
2
3
y − 9 < y + 1 into a sentence.
Answer:
nine subtracted from y is lesser than 1 added to y
A tile store charges $607.50 to install 135 square feet of tile. Assuming they charge the same rate
per square foot regardless of the amount of tile installed, how much would they charge to install
840 square feet of tile?
Translate to a proportion:
square feet
square feet
They would charge
to install 840 square feet of tile.
The unit price for installation per square foot of tile is
Answer:
the tile is 4.50 per square foot to install
it will cost 3780.00 to install 840 square feet
Step-by-step explanation:
divide 607.50 by 135 to find out the price per square foot to install
multiply the price per square foot by the number of square feet you are installing so 4.50 X 840
Question 2 of 10
2 Points
The circle below is centered at the point (-2, 1) and has a radius of length
What is its equation?
(x+1)++
O
B. (x - 2)2 + (y + 1)
O
c. (x + 2)2 + (y- 1)2 =
O
D. (x - 1)2 + (y + 2)2
O
Answer:
B is the answer to this problem
Find the value of x in the triangle
Answer:
x=32 degrees
Step-by-step explanation:
a triangle sum up to 180 degrees.
to find x
42+ x+106 =180
Subtract the numbers to let x stand on its own
x= 180 - 106- 42
x=32
Answer:
32⁰
Step-by-step explanation:
By angle sum property :
106 + 42 + x = 180
x = 180 - 148
x = 32⁰
Question 5: The top 5% of the 4,200 students at your college will receive a
$200 tuition refund. How many students will receive the refund?
What is 10% of 4200?
Your answer
How many students will receive the refund?
Your answer
Answer:
2,100 students will receive the funds.10% of 4200 is 420.
Step-by-step explanation:
It took a submarine 30 seconds to sink 225 feet, moving at a constant speed. The captain wants to know the submarine's speed.
What is a submarine's speed in feet per second?
Answer:
Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5
So your answer should be 7.5
Step-by-step explanation:
The submarine's speed in feet per second is 7.5 feet per second.
Explanation:The submarine's speed in feet per second can be calculated by dividing the distance traveled by the time taken. In this case, the submarine sank 225 feet in 30 seconds, so its speed would be 225 feet / 30 seconds = 7.5 feet per second.
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On a separate sheet of paper graph the following function. In the answer box describe the function.
f(x) = 2[x] – 3
Answer:
Answer
Step-by-step explanation:
The function is a greatest integer function, which is a step function.
The function f(x) = 2[x] - 3 features a step-like graph due to the floor function [x]. To graph it, calculate f(x) for integer values, plot the points, and draw horizontal lines between them. The function's range in this context is specified to be between 0 and 20.
Explanation:The function given is f(x) = 2[x] - 3, where [x] denotes the greatest integer function, also known as the 'floor' function, which returns the greatest integer less than or equal to x. This type of function creates a step-like graph. When graphing this function, you'll notice that for every integer value of x, the function will take on a constant value until the next integer is reached, at which point it will jump up to the next 'step'.
To graph this function, you should first calculate the values of f(x) at various integer points within the given range. Then plot these points on a coordinate plane and create horizontal lines to represent the function's value between each pair of consecutive integer x values. For non-integer values of x, the function value will be based on the floor of x. Label your graph with f(x) and x. Make sure to scale the x and y axes with the maximum values, considering that in this case we are dealing with 0 ≤ x ≤ 20.
Johnny paid $19 for a pair of jeans. It was originally $33. What percent discount did he receive?
Answer:
Approximately 42.42%
Step-by-step explanation:
If you subtract 42.42% from 33 it equals approx 19.
Are the following linear, quadratic, or exponential?
Answer with a complete sentence. Eric and Jan leave their house at one o-clock, following the same route. Jan walks at a steady pace of 4 mph. Eric walks at a leisurely 2 mph for 2 hours, and then jogs at 6 mph. When will he catch up with her?
Answer:
4h = 4 + 6(h - 2)
4h = 4 + 6h - 12
4h = 6h - 8
2h = 8
h = 4 hours
Eric will catch up with Jan at 5:00.
Help !!!!!!!!!!!!!!!!!!!!!!
What does b equal in this equation 3=3/4(b-8)
Look at the attached picture⤴
Hope it will help u....:)
ANSWER ASAP WILL GIVE BRAINLIEST
Answer:OC=10 did pythogrean
The angle is 36.9 or 37 rounded sin-1= 6/10
Step-by-step explanation:
Ginny has a package of 80 cards. There are 40 yellow cards
and 40 red cards.
If she randomly picks 4 cards, how many cards should she
expect to be yellow?
Answer:
8?
you gotta do the math.
please help (:
Izzy manages the school baseball and softball teams. Part of his job is taking care of equipment and recording statistics about the players.
1. Izzy orders gloves for the 36 players on the teams combined.
Izzy estimates that 10% of the players are left-handed, so he orders 3 left- handed gloves. Is that enough? Explain.
Answer:
Hence the order of gloves(3) is less that actual number of left handed player(4) in team.
Step-by-step explanation:
Given:
Total players =36 i.e they need total of 36 gloves with as per dominant hand
(Left or Right)
She ordered 3 gloves for left handed players.
And there are 10 % player which are left handed.
To Find:
Is ordered gloves are enough ?
Solution:
Given, that only 10 % of 36 are left handed.
Left handed player in team=10% of 36
[tex]=(10/100)*36[/tex]
=0.1*36
=3.6
For Rounding off figure ,nth place after decimal is greater that half i.e 5(here it is 6) so add one in next place
i.e Using significant figures 3.6 is approximately equals to 4
And the Total ordered gloves are , less than the actual number of left handed players.
Final answer:
Izzy needs to order at least 4 left-handed gloves for the 36 players, as 10% of 36 is 3.6, which rounds up to 4. Ordering only 3 gloves would not be sufficient.
Explanation:
Izzy is responsible for ordering gloves for baseball and softball teams with a total of 36 players. Since 10% of the players are left-handed, Izzy would need to calculate 10% of 36 to determine the number of left-handed gloves required. The calculation would be 0.10 × 36, which equals 3.6. Since you can't have a fraction of a glove, Izzy would need at least 4 left-handed gloves to accommodate all the left-handed players. Therefore, ordering only 3 left-handed gloves is not enough.
A gumball machine contains 24 cherry gumballs, 5 apple gumballs, 18 grape gumballs, 14 orange gumballs, and 9 licorice gumballs. What is the probability of getting an orange gumball?
Answer:
1/5
Step-by-step explanation:
First find out how many gumballs there are in total. In this case, 70. Then see how many there are of the thing you are trying to find the probability of getting, in this case, 14. Finally see how many times the smaller goes into the larger, in this case, 5. There is a 1 in 5 chance, also known as 20%
Answer:
20% or 1/5
Step-by-step explanation:
24 + 5 + 18 + 14 + 9 = 70
14/70 = 1/5 = 0.2 = 20%
The rectangle below has an area of x^2-9x
2
−9x, squared, minus, 9 square meters and a width of x-3x−3x, minus, 3 meters.
What expression represents the length of the rectangle?
Answer:
(x+3)m
Step-by-step explanation:
Area of a rectangle = Length × width
Given the area = (x²-9)m²
Width = (x-3)m
Length of the rectangle = Area/Width
Length of the rectangle = x²-9/x-3
= x²-3²/x-3
Note that according to different of two square, a²-b² = (a+b)(a-b)
Therefore x²-3² = (x+3)(x-3)
Length of the rectangle
= (x+3)(x-3)/x-3
= x+3
The length of the rectangle is (x+3)m
The expression representing the length of the rectangle is (x - 3) meters.
To find the length of the rectangle, you need to divide the given area by the width.
In this case, the area of the rectangle is represented by the expression x^2 - 9x, and the width is represented by the expression x - 3.
So, you can find the length by dividing the area by the width:
Length = Area / Width
Length = (x^2 - 9x) / (x - 3)
Now, let's simplify this expression. You can factor the numerator:
x^2 - 9x = x(x - 9)
So, the expression for the length becomes:
Length = (x(x - 9)) / (x - 3)
Now, you can cancel out the common factor of (x - 9) in the numerator and denominator:
Length = x
Therefore, the length of the rectangle is simply x meters.
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Factor using the GCF 5x -15???
Answer:
the greatest common factor here is 5, because 5 is it's own biggest number that is a factor of 15. so factoring this problem using 5 (gcf), would leave you with 5(x-3) because you divided each number by the gcf (5)
-7 + 3 (-4c -3) equivalent expressions
Answer:
-12c - 16
Step-by-step explanation:
[tex] - 7 + 3( - 4c - 3) \\ = - 7 + 3 \times ( - 4c) + 3 \times ( - 3) \\ = - 7 - 12c - 9 \\ = - 16 - 12c \\ = - 12c - 16[/tex]
2 Find the mystery numbers for each pair of clues. A product is the number you get
when you multiply numbers. A sum is a number you get when you add numbers.
a Use these clues to help
• The product of these two numbers
is 12.
• The sum of these two numbers is 7.
6 Use these clues to help
• The product of these two numbers
is 8.
• The sum of these two numbers is 9.
The numbers are
and
The numbers are
and
Answer:
4 and 3 at least i think
Step-by-step explanation:
A cylinder has height 10 cm and volume 42 cm'. An enlargement of the
cylinder has height 25 cm. Calculate the volume of the enlarged cylinder.
ANSWER:
look at these equations:
A = B+12 B = C+4
Write an equation to show the relation ship between A and C
Answer:
A = C + 16
Step-by-step explanation:
Given
A = B + 12 and B = C + 4, then substitute B = C+ 4 into A, that is
A = C + 4 + 12
A = C + 16
An object is launched directly in the air at a speed of 32 feet per second from a platform located 8 feet in the air. The motion of the object can be modeled using the function f(t)=−16t2+32t+8, where t is the time in seconds and f(t) is the height of the object. How long, in seconds, will the object be in the air before hitting the ground? Round your answer to the nearest hundredth of a second. Do not include units in your answer.
Answer: 2.22
Step-by-step explanation:
QueSLIUI
A friend asks to borrow $250 for 18 months and agrees to pay 12% annual simple interest. How much interest will you
earn?
Round your answer to the nearest dollar.
Provide your answer below:
Answer:
$90 of interest will be earned.
Step-by-step explanation:
We are given the following in the question:
Principal,P = $250
Time, T = 18 months = 3 years
Rate, R = 12% = 0.12
Formula for simple interest:
[tex]I =\dfrac{P\times R\times T}{100}[/tex]
Putting values, we get,
[tex]I =\dfrac{250\times 12\times 3}{100} = \$90[/tex]
Thus, interest of $90 will be earned.
What is the radius and diameter of the following circle?
11 cm
?
Radius-
Diameter-
Answer:
Radius: 5.5
Diameter: 22
Step-by-step explanation:
A zip line starts 28 feet in the air and
ends 11 feet in the air. The zip line drops
at an angle of 85 degrees 85°. How long
is the zip line cable when completely
taut (no rider)?
Given:
A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.
To find:
The length of the zip line where there is no rider.
Solution:
A right-angled triangle can be formed using the given data.
The difference in height between the start and end of the zipline is [tex]28-11=17[/tex]. The angle of the triangle is 85°.
Assume the zip line is x feet long.
The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.
To determine x, we calculate the cos of the given angle.
[tex]cos \theta = \frac{adjacentside}{hypotenuse} .[/tex]
[tex]cos 85 = \frac{17}{x} , x = \frac{17}{cos85}, cos85= 0.0871.[/tex]
[tex]x = \frac{17}{0.0871} = 195.1779.[/tex]
Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.
The length of the zip line when there is no rider is 195.18 feet long.
Calculation of the length of the zip line:Here the difference is
= 28 - 11
=17
And, The angle of the triangle is 85°.
Here we Assume the zip line should be x feet long.
Now
The length should be
[tex]cos\ 85 = 17\div x\\\\x = 17\div 0.0871[/tex]
= 195.18
Hence, The length of the zip line when there is no rider is 195.18 feet long.
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You spend $62 on a game, receive $50 for painting a fence, and give $10 to your friend. You have $44 left.
How much money did you start with?
Answer:
You started with $66.
Step-by-step explanation:
The equation would be:
[tex]x-62+50-10=44\\ x-22=44\\ x=66\\[/tex]
To check the answer:
[tex]66-62+50-10=44\\4+50-10=44\\54-10=44\\44=44[/tex]
We started with $66 initially.
What is Algebra?Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. It tries to find solutions to equations that contain one or more unknown quantities. Although early mathematicians would not have been familiar with such a concept, the word "equation" is frequently employed to conveniently represent these operations when discussing the early history of algebra.
As per the given data:
Money spend on game (g) = $62
Money received for painting a fence (p) = $50
Money given to friend (f) = $10
Money left = $44
To find out the money we had initially:
Let's assume we had $x.
Money left = x - g + p - f
44 = x - 62 + 50 - 10
44 = x - 22
x = $66
Hence, We started with $66 initially.
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