there you go .............
Final answer:
The expression that includes 3x and ¼ should be written as 3x + ¼. Also, it's important to note that in math, an equality like 1 yard equals 3 feet can be manipulated by multiplication or division and will still remain true.
Explanation:
It seems there's a typo in the expression you've provided (3x 2 1/4). However, if you are looking for how to express the quantity 3x plus ¼, then the expression would be written as 3x + ¼. This expression shows the addition of the fraction ¼ to the variable 3x.
Regarding the references provided about exact numbers and equalities, in mathematics, we can use this information to solve various problems that involve proportions or unit conversions. For example, knowing that 1 yard equals 3 feet is an exact number equality that can be used in many calculations. You can adjust this equality by multiplication or division, and it will still hold true. Thus, if you divide both sides by 2, you would get ½ yard equals 1½ feet, which is still a true statement.
Louis makes $4638.34 a month. If $345.12 is taken out in taxes, what percentage has been removed?
Step-by-step explanation:
Let's set up a proportion.
345.12/4638.34=x/100.
A percent is always out of one hundred and is the part out of a whole, so to solve for it we must set x equal to the part (345.12) out of the whole (4638.34).
Now if we solve for x it will equal 7.440593, which is kind of a big number. We can round it to the nearest hundredth, 7.44%, or just round it to the nearest percentage 7%.
To calculate the percentage of Louis's income that is taxed, we divide the amount of tax by the total income and multiply by 100. This tells us that Louis pays roughly 7.44% of his monthly income in taxes.
Explanation:To find out the percentage of income that Louis paid in taxes, we first need to divide the total amount of taxes ($345.12) by Louis's total monthly income ($4638.34) and then multiply by 100 to get the percentage. The calculation would look like this: ($345.12 / $4638.34) * 100. If you compute this, you will find that Louis pays about 7.44% of his monthly income in taxes.
So, the percentage that has been removed from Louis's income for taxes is 7.44%.
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Which equation could represent p? Please please help
The equation could represent p is P(x) = (x+3)(x-2)^2
The brackets indicate where the curve will intersect the x-axis.
The curve intersects the graph at (0,-3) and (0,2).
That is to say:
x = -3
AND
x = 2
Rearrange the equations so that they equal 0.
x + 3 = 0
x - 2 = 0
The values in the brackets will be used.
We know that x - 2 is a repeating root because the curve only touches it and does not cross it, hence (x-2) is squared.
As a result, your brackets are as follows: (x+3)(x-2)(x-2)
Which of the following can be simplified:
(x+3)(x-2)^2
Where 2 denotes squared.
what are the outputs of -1 and 1 in g(x)
Answer:
g(-1) = -0.571
g(1) = -7
Step-by-step explanation:
To easily solve this problem, we can use a graphing tool to plot both f(x) and g(x) and
f(x) = 2*(3.5)^x
g(x) = -2*(3.5)^x
g(-1) = -2*(3.5)^(-1) = -0.571
g(1) = -2*(3.5)^(1) = -7
HELP!!!
Pavel said that he could graph -5 by counting 5 units to the left of 5. Is he correct? Explain
No, Pavel is not correct. Counting 5 units to the left is the same as saying 5 - 5, which equals zero. Pavel would need to count 10 units to the left of 5 in order to get -5.
10points for those who help me ehek chapter; circles
How many sides does the polygon have?
I believe this is a octogan.... which has 8 sides.... I'm not a 100% sure though... I hope I helped!
Answer:
The answer is 8
Step-by-step explanation:
because it's an octagon
Help Plz Will mark brainliest
Answer:
Step-by-step explanation:
Expression: [tex]x^3-xy+y^2-9[/tex]
7. How could y^2 be rewritten?
y^2 can be rewritten as y*y
8. What does the term xy mean?
The term xy mean that the value of x is multiplied with the value of y or we can sy that we are taking product of x and y.
9. Can you combine all the Xs and Ys in this expression?
No, because the term xy has one x term and one y term and due to this we cannot combine all the Xs and Ys in this expression. We can only combine like terms that have same variables.
Help with 21 would be much appreciated.
Answer:
[tex]\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}[/tex]
Step-by-step explanation:
Look at the picture.
ΔADC and ΔCDB are similar. Therefore the sides are in proportion:
[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]
We have
[tex]AD=14-8=6\\CD=y\\DB=8[/tex]
Substitute:
[tex]\dfrac{6}{y}=\dfrac{y}{8}[/tex] cross multiply
[tex]y^2=(6)(8)[/tex]
[tex]y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}[/tex]
For x use the Pythagorean theorem:
[tex]x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}[/tex]
How do I do this and what’s the answer
Answer:
The area of the four curved surfaces is the area of one circle with a radius of 4 cm
Area = PI * radius^2
Area = PI * 4 ^ 2
Area = PI * 16 = 50.26548245744 sq cm
Area of entire square = 8 * 8 = 64 sq cm
Area of yellow region = 64 - 50.265 sq cm =
= 13.735 = 13.7 sq cm (rounded to nearest tenth)
Step-by-step explanation:
Answer:
Area of the yellow part = 13.76
Step-by-step explanation:
Remark
Basically you have 4 quarter circles (which will make up the area of 1 circle) which you then have to subtract from the area of the square. Use pi = 3.14 for the circle.
Area of the square
A = s^2
A = 8^2
A = 64
Area of the 4 quarter circles.
Area = 4* (1/4) * Pi * r^2
r = 4 (1/2 of the square's side)
Area = 4*(1/4) * pi * 4^2
Area = pi * 4^2
Area = 16 * pi
Area of the yellow part
Area of the yellow part = Area of the square - Area of the 4 quarter circles.
Area of the yellow part = 64 - 16*pi This is a possible answer.
Area of the yellow part = 64 - 50.24
Area of the yellow part = 13.76 This is the answer I'd try first.
Solve the division problem. 9/10 divided by (-3/5) write as a mixed number
Answer: -1 1/2
Step-by-step explanation:
Answer:
[tex]-(1\frac{1}{2})[/tex]
Step-by-step explanation:
Dividend = [tex]\frac{9}{10}[/tex]
Divisor = [tex]\frac{-3}{5}[/tex]
Now divide [tex]\frac{9}{10}[/tex] by [tex]\frac{-3}{5}[/tex]
So, [tex]=\frac{\frac{9}{10}}{\frac{-3}{5}}[/tex]
[tex]=\frac{9}{10} \times \frac{5}{-3}[/tex]
[tex]=\frac{45}{-30}[/tex]
[tex]=\frac{3}{-2}[/tex]
[tex]=\frac{-3}{2}[/tex]
[tex]=-(1\frac{1}{2})[/tex]
So, [tex]\frac{9}{10} \div \frac{-3}{5} = \frac{-3}{2}=-(1\frac{1}{2})[/tex]
Need help with #1 “how is the equation y= 2x similar to the equation y= 2x + 3?how is it different?”
Answer:
The 2nd one would be different from the first because you are adding 3.
Step-by-step explanation:
(30___5) ÷ 2= 3
complete the number sentence to make it true.
You would have to divide because 30/5= 6 and 6/2= 3
Answer:
The answer is 6.
Step-by-step explanation:
Start with the parentheses. Think of what operations can work for this. Since the answer (3) is small, division makes sense.
(30 / 5) = 6
Then, divide 6 by 2. The answer is 3.
I hope this helped! :-)
Hallar el menor de tres números consecutivos, si la suma de la mitad del número menor más la tercera parte del número mayor excede en cinco al número de en medio
Answer:
The lowest of three consecutive numbers is [tex]-32[/tex]
Step-by-step explanation:
The question in English
Find the lowest of three consecutive numbers, if the sum of one-half of the lowest number plus one-third of the highest number exceeds the middle number by five.
Let
x-----> the lowest consecutive number
x+1-----> the middle consecutive number
x+2-----> the highest consecutive number
[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5[/tex]
solve for x
[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5\\ \\ \frac{3x+2x+4}{6}=x+6\\ \\5x+4=6x+36\\ \\6x-5x=4-36\\ \\x=-32[/tex]
Sonia noticed that during the summer an apple tree in their garden grew from 180 cm to 207 cm. What was the percent increase in height of the tree?
Answer: 15%
Step-by-step explanation:
[tex]\%\ change=\dfrac{New-Original}{Original}\times 100\\\\\\.\qquad \qquad=\dfrac{207-180}{180}\times 100\\\\\\.\qquad \qquad =\dfrac{27}{180}\times 100\\\\\\.\qquad \qquad =0.15\times 100\\\\\\.\qquad \qquad =\boxed{15\%}[/tex]
The answer would be 15%.
207-180=27
27/180=3/20
3/20x5 = 15/100
15/100=15%
Describe Henry's location relative to the library.
Answer:
Part 1)
Henry's location is at the ordered pair [tex](-3,4)[/tex]
Libray's location is at the ordered pair [tex](2,-3)[/tex]
Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Step-by-step explanation:
Part 1) Write the ordered pairs that represent Henry and the Library
we have that
Henry's location is at the ordered pair [tex](-3,4)[/tex]
Libray's location is at the ordered pair [tex](2,-3)[/tex]
Part 2) Describe Henry's location relative to the library
Observing the graph
Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Who's good at Algebra? I have a few Questions about somethings on my home work.....
Answer:
I will try my best to answer
Answer: who trynna hlp me take a bath nooo kap
Step-by-step explanation:
The equation of the horizontal line goes through the point (-1,8)is
Answer:
y = 8
Step-by-step explanation:
Parallel lines are lines which do not intersect. If the line is parallel to the x-axis then it is a horizontal line that intercepts the y-axis at the y-coordinate of the point (-1,8). So the equation of the line is y = b where b is the y-coordinate or y-intercept. Here it is y = 8.
First to answer will be the brainliest I need the answer ASAP
90-64= 26 degrees .....
SOMEONE plezzz help
(b–2)(b+2)(b^2+4)
simplify 7 square root of 3-4 square root of 6 plus square root of 48 minus square root of 54
Answer:
B) 11√3 - 7√6
Step-by-step explanation:
√48 can be simplified to 4√3, and √54 can be simplified to 3√6.
The equation is now 7√3 - 4√6 + 4√3 - 3√6.
This can be grouped into (7√3 + 4√3) + (-4√6 -3√6).
We get 11√3 - 7√6.
7. T or F Congruent means having the same measure
Answer:
True
Step-by-step explanation:
Congruent means that two (or more) side lengths for line segments have "the same measurements.
~
Which algebraic property is used to rewite (3 + m) + y as 3 + (m + y)?
Distributive property
Commutative property
Associative property of multiplication
Associative property of addition
(._.)✌ please help me my dudes
Answer:
Associative property of addition
ur welcome "my dude" :o)
Answer:
The associative property of addition.
Step-by-step explanation:
The associative property basically says that it doesn't matter if you add y to 3 + m or you add m + y to 3; you'll come out with the same answer in both cases. Put another way, it tells us we can group terms however we want, and it won't effect the outcome. For another example, (3 + 5) + 4 = 3 + (5 + 4) -- it doesn't matter whether we start with 3 + 5 or 5 + 4. The associative property is why we're allowed to write addition without parenthesis.
there are 4 new students. they are holding a pep rally to introduce them. how many different ways can they be introduced
Answer:
They can be introduced 24 different ways
Step-by-step explanation:
To find this, use the factorial function (!)
4! = 4 * 3 * 2 * 1 = 24
Answer:
They're name and age.
Step-by-step explanation:
Step 1: The student would say his/her name.
Step 2: The student would say his/her age.
Step 3: The student would say his/her birthday.
Hi, I need help with #23 ASAP! (shown in picture)
Answer:
12 sides
Step-by-step explanation:
Answer:
Step-by-step explanation:
Interior angles is 150 degree
Exterior angles is 360 degree
What is the surface area of this cylinder (round to the nearest tenth) 6.4 m2 25.1 m2 37.7 m2 62.8 m2
Answer: 62.8m^2
Step-by-step explanation:
Surface area of a cylinder = [tex]2\pi r^{2} + 2\pi rh[/tex]
r = 2m, h = 3m
[tex]2\pi (2)^{2} + 2\pi (2)(3)[/tex]
= 62.83185
Answer:
62.8m^2
Step-by-step explanation: 2\pi r^{2} + 2\pi rh
r = 2m, h = 3m
2\pi (2)^{2} + 2\pi (2)(3)
= 62.83185
A number line is shown below. The numbers 0 and 1 are marked on the line, as are two other numbers a and b. What is a+b?
A 2a
B 2b
C 0
D The answer can not be found using the information given
d the answer can not be found using the information given
An astronaut who weighs 126 lb on earth weighs 21 lb on the moon. How much would a person who weighs 234 lbs on the moon weigh on earth
Answer:
[tex]1,404\ lb[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{126}{21}\frac{earth}{moon} =\frac{x}{234}\frac{earth}{moon}\\ \\x=126*234/21\\ \\x=1,404\ lb[/tex]
Answer: 1,404 lb
Step-by-step explanation:
1. You have the following information given in the problem:
- The weight of the astronaut on eart is 126 lb.
- The weight of the astronaut on the moon is 21 lb.
2. Therefore, you can calculate the weight of a person on earth, knowing that that person weighs 234 lb of the moon, as following:
[tex]weight_{earth}=\frac{(234lb)(126lb)}{21lb}\\\\weight_{earth}=1,404lb[/tex]
Then, the person would weighs 1,404 lb on earth.
Gary is 15 years old. Let s represent Sandy's age. Write an algebraic expression that represents how many years older Sandy is than Gary?
Answer:
15+s=
Step-by-step explanation:
Nina made 14 curtains of the same length out of 30 1 3 yards of fabric. What is the length of each curtain?
The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.
Given that,
14 curtains required [tex]30\frac{1}{3} [/tex] yards of fabric.
1 curtain required is,
[tex]=30\frac{1}{3} \div14\\ \\ =\frac{91}{3}*\frac{1}{14}\\ \\ =\frac{91}{42}=\frac{13}{6}=2\frac{1}{6} [/tex]
Hence, The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.
Learn more:
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Is the answer is b ? Help
Answer:
No, it is D.
Step-by-step explanation:
It can not be A or C, because length can not be negative
Because the y is the same, you only have to count the distance of the x-axises.
4 - (-3) is 7 units, which is D.
I need help!!! Brainliest for anyone who answers correctly on both!!!
Answer:
The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73
Step-by-step explanation:
First problem:
It's asking for the distance he walks by walking around a rectangular box which is the perimeter.
Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.
Second problem:
Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90
-4x +45 + 7x + 24 = 90
3x + 69 = 90
3x = 21
x= 7.
Plug back x into both m<1 and m<2 to find the measure of the angles.
m<1 = -4(7) + 45 = 45-28 = 17
m<2 = 7(7) + 24 = 49 + 24 = 73