Answer:
Conversion a mixed number 4 1/
2
to a improper fraction: 4 1/2 = 4 1/
2
= 4 · 2 + 1/
2
= 8 + 1/
2
= 9/
2
To find new numerator:
a) Multiply the whole number 4 by the denominator 2. Whole number 4 equally 4 * 2/
2
= 8/
2
b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9
c) Write a previous answer (new numerator 9) over the denominator 2.
Four and one half is nine halfs
Add: 9/
2
+ 12 = 9/
2
+ 12/
1
= 9/
2
+ 12 · 2/
1 · 2
= 9/
2
+ 24/
2
= 9 + 24/
2
= 33/
2
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 1) = 2. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 1 = 2. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - nine halfs plus twelve = thirty-three halfs.
Add: the result of step No. 2 + 5/
7
= 33/
2
+ 5/
7
= 33 · 7/
2 · 7
+ 5 · 2/
7 · 2
= 231/
14
+ 10/
14
= 231 + 10/
14
= 241/
14
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 7) = 14. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 7 = 14. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three half's plus five sevenths = two hundred forty-one fourteenths.
Step-by-step explanation:
The sum of 4[tex]\frac{1}{2}[/tex] and 8[tex]\frac{3}{14}[/tex] is 12[tex]\frac{5}{7}[/tex].
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Let the required number be n.
According to the question,
the sum of 4[tex]\frac{1}{2}[/tex] and n is equal to 12[tex]\frac{5}{7}[/tex].
In numeric form,
4[tex]\frac{1}{2}[/tex] + n = 12[tex]\frac{5}{7}[/tex]
Simplifying,
9/2 + n = 89/7
Substituting constant to term one side,
n = 89/7 - 9/2
n = 115/14
n = 8[tex]\frac{3}{14}[/tex]
Therefore, the number is 8[tex]\frac{3}{14}[/tex].
To learn more about the addition;
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Find the measure of interior angle C of hexagon OCEANS in which the
measure of the interior angles are:
O: 3x + 15, C: 2x + 30, E: 5x + 10, A: 2x + 55, N: 2x + 60, and S: x - 35.
Answer:
The measure of the interior angle C is [tex]108^{o}[/tex].
Step-by-step explanation:
Sum of angles in a polygon = (n - 2) x 180
where n is the number of sides of the polygon.
For a hexagon, n = 6. So that;
Sum of angles in a hexagon = (6 - 2) x 180
= 4 x 180
= [tex]720^{o}[/tex]
Sum of angles in a hexagon = [tex]720^{o}[/tex]
⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = [tex]720^{o}[/tex]
15x + 135 = [tex]720^{o}[/tex]
15x = [tex]720^{o}[/tex] - 135
15x = 585
x = [tex]\frac{585}{15}[/tex]
= [tex]39^{o}[/tex]
But,
C = 2x + 30
= 2(39) + 30
= 78 + 30
= [tex]108^{o}[/tex]
The measure of the interior angle C is [tex]108^{o}[/tex].
Help me I have no idea how to do this and please give me an actual answer don’t do it just for the points
Answer:
i am sorry i don't know the answer it would be great if you provide more information
Step-by-step explanation:
PLEASE HURRY WILL GIVE BRAINLIST
Answer:
87
Step-by-step explanation:
Solve for j 8 - 4j = -8j
Answer:
J = -2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain the variable.
So J would equal -2
Find the slope and vertical intercept for the line.Write an equation for the line
Answer:
Which line.... They didnt gave any numbers or smth
An object is traveling at a steady speed of 9 9/10 km/per hour about how long will it take the object to travel 5/1/10 km/per hour.
Answer:
0.52 km
Step-by-step explanation:
We are given that
Speed of object, v=[tex]9\frac{9}{10}km/h[/tex]
Speed of object, v=[tex]9+0.9=9.9km/h[/tex]
Distance travel by object, s=[tex]5\frac{1}{10}km[/tex]
Distance travel by object, s=[tex]5+0.1=5.1km[/tex]
We have to find the time taken by object to travel 5 1/10 km.
We know that
[tex]Time=\frac{Distance}{speed}[/tex]
Using the formula
Time taken by object to travel 5.1 km =[tex]\frac{5.1}{9.9} hr[/tex]
Time taken by object to travel 5.1 km=0.52 hr
A fish is 12 meters below the surface of the ocean. Its elevation is -12m. A sea bird is 28 meters above the surface of the ocean. Its elevation is 28m. If the bird is directly above the fish, how far apart are they?
Answer:
40
Step-by-step explanation:
28+12= 40
if my answer helps please mark as brianliest.
Can someone help me solve this Y=5/2x-1
Answer:
m= 5/2
Step-by-step explanation:
352 divided by 25 multiplied by 2 subtracted by 3
Answer:
25.16
Step-by-step explanation:
Answer:
25.16
Step-by-step explanation:
A=(352/25 *2) - 3 = 25.16.
Is y= -x a linear equation
Answer:
yes
Step-by-step explanation:
solve for x (8x-4), (3x+17), (17x-23)
Answer:
=408x3+1556x2−4008x+1564
Step-by-step explanation:\
(8x−4)(3x+17)(17x−23)
69 points and Brainliest answer!!!
Answer:
220%
Step-by-step explanation:
Can someone help me Please
what is the value of y for -3x+2y=-10
Answer:
[tex]x=3.33333\\y=-5[/tex]
CAN U GIMME BRAIN PLZ!Childe, needs help please
Can someone help me with this question please
Which is true of the models? Check all that apply.
Answer:
what models
Step-by-step explanation:
Rover A: y= 1.3x - 4
Rover B: 3y = 3.9x - 12
What conclusion can you make about the system of equations?
A. The system has exactly one solution.
B. The system has infinitely many solutions.
C. The system has no solution.
Answer:
I think it is A
Step-by-step explanation:
because there is only 1 slope which is 3 and the y intercept is 4
Please help me with both questions :(
Answer:
2.) $520
3.) less
Step-by-step explanation:
I'm going to assume that the interst is compoudning and is convertable once a year
The compound interest formula for interest compounding only once a year is as follows
[tex]AV=PV(1+i)^n[/tex]
plug in the numbers and get
[tex]500(1+.04)^{1}=500*1.04=520[/tex]
3.) If the interest rate is lower at the credit union he would obvioulsy be paying less (assuming that this interest rate is convertable annually as well)
Write the percent as a fraction in simplest form and as a decimal: (two answers) 20% of the books
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!
Graph y=−1.25x+7
Answer the following:
a)What is the y−intercept?
b)What is the slope (in fraction form)?
c)Is your slope positive or negative?
d)Explain how you plotted your second point.
Answer:
A. (0,7)
B. -1.25
C. Negative
D. I started at (0,7), then plotted the second point by moving the point down 5 and right 4.
Step-by-step explanation:
Look at the equation more carefully.
I hope this helps :)
Answer:
Step-by-step explanation:
y interept is +7
the slope in fraction form is y=-5/4+7
the slope is negative even though it looks like it is not going up or down
if that it is wrong then it is an undefined slope
other points you can plot- (1, 5.75) and (2, 5.75)
Mr. Marquez discovered that 18 of his 24 students enjoy reading in their spare time. What percent of his students enjoy reading in their spare time?
Answer:
75%
Step-by-step explanation:
Use 'Percent(age) Composition'
1. (18/24) = 0.75 This shows that 0.75/1 students reads during their free time.
2. 0.75 x (100) = 75% This step is to allow the value we received above to be displayed as a percentage.
75% of students enjoy reading in their spare time.
Learning Task 1: Solve for n. Write your answer in your notebook.
1. 7.26 x 0.22 = n
2. 17.92 x 0.64 = n
3. 7.65 x 0.85 = n
4. 36.20 x 0.05 = n
5. 31.85 x 0.91 = n
Answer:
1.5972
11.4688
6.5025
1.81
28.9835
Step-by-step explanation:
yan po hehe
Find the length of side x in simplest radical form with a rational denominator.
45 degree
45 degrees
CS
The length of the side is 1/√2 or √2/2 units after applying the sin ratio.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Using sin ratio to find the value of x:
sin45 = X/1
1/√2 = X/1
X = (1/√2)(√2/√2)
X = √2/2
Thus, the length of the side is 1/√2 or √2/2 units after applying the sin ratio.
Learn more about the right-angle triangle here:
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What is the solution to the equation below?
2(x - 3) = 2x + 5
A
3
X = 2
B
X=-2
= -2
A10
С
There is no solution.
D
There are infinitely many solutions.
Answer:
C. There is no solution.
Step-by-step explanation:
First, multiply what in the parentheses by what's outside of them.
[tex]2(x - 3) = 2x + 5 ↴[/tex]
[tex]2x - 6 = 2x + 5 [/tex]
Then seperate variables from nonvariables. After subtracting [tex]2x[/tex] from the right and left side, the equation becomes this:
[tex] - 6 = 5[/tex]
This equation has no solutions because this is an inequality.
What is the volume of the rectangular prism shown below?
12 in
3 in
9 in
Formula List: Link
24 inches cubed
324 inches cubed
162 inches cubed
104 inches cubed
Helppppppp pleaseeeee
Answer:
x=6
Step-by-step explanation:
3x+12=5x
12=5x-3x
12=2x
6=x
x=6
Hope this helps! :)
Miranda is buying a pair of shoes that are on sale for 60% of the original
price. After she uses a $25 gift certificate, the total cost before taxes is
$68. What is the original price of the shoes?
Answer:
$168
Step-by-step explanation:
Hope this helps and have a great day!!!!
I need help on knowing whether this is a solvable equation. Along with reasons why. HELP IF YOU CAN :))
To check if x = 9 is the solution, we need to replace every x with 9 and simplify
(3+x)/4 = 3
(3+9)/4 = 3
12/4 = 3
3 = 3
We get the same thing on both sides, so the last equation is a true equation. This means that the first equation is a true equation when x = 9. Therefore, the solution x = 9 is confirmed.
PLEASE HELP?
let g be the function given by g (x) = 3x^4 - 8x^3. At what value of x on the closed interval [ -2,2 ] does g have an absolute maximum
Answer:
When we have a function g(x)
We will have a maximum at x when:
g'(x) = 0
g''(x) < 0.
Now we start with:
g(x) = 3*x^4 - 8*x^3
The first derivation is:
g'(x) = 4*3*x^3 - 3*8*x^2
g'(x) = 12*x^3 - 24*x^2
We can rewrite this as:
g'(x) = x^2*(12*x - 24)
Now we want to solve:
g'(x) = 0 = x^2*(12*x - 24)
We have one trivial solution, that is when x = 0.
The other solution will be when the term inside of the parentheses is equal to zero.
Then we need to solve:
12*x - 24 = 0
12*x = 24
x = 24/12 = 2
Then g'(x) is equal to zero for x = 0, and x = 2.
Notice that both of these points are included in the interval [ -2,2 ]
Now we need to look at the second derivative of g(x):
g''(x) = 3*12*x^2 - 2*24*x
g''(x) = 36*x^2 - 48*x
Ok, now we need to evaluate this in the two roots we found before:
if x = 0:
g''(0) = 36*0^2 - 48*0 = 0
g''(0) = 0
Then we do not have a maximum at x = 0, this is a point of inflection.
if x = 2:
g''(2) = 36*(2^2) - 48*2 = 48
then:
g''(2) > 0
This is an absolute minimum.
Now let's look only at the interval [ -2,2 ]
We know that:
g''(0) = 0
g''(2) > 0
Then at some point, we should have g''(x) < 0 in our interval.
We need to find the first point such that happens, so let's try with the lower limit of the interval but with the first derivation, if g'(x) < 0, this means that the function is decreasing from that point on, then that point will be a maximum in our interval.
x = -2
g'(-2) = (-2)^2*(12*-2 - 24) = -192
And if we look at the function:
g'(x) = x^2*(12*x - 24)
We can easily see that it is negative unitl x = 0, and then it keeps being negative until x = 2.
So in the interval [ -2,2 ], the function g'(x) is always negative or zero, this means that in the interval [ -2,2 ], the function g(x) is always decreasing or constant.
Then the absolute maximum of g(x) in the interval [ -2,2 ] will be x = -2
this means that:
g(-2) ≥ g(x) for all x ∈ [ -2,2 ]