Answer:
9 3/4
Step-by-step explanation:
First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1 Then you keep the original denominator at the bottom of the fraction.
2*6+1/6 4*2+1/2 ---> 13/6 x 9/2
You would then simplify the crossing numbers 6 and 9. They both can be divided by three.
13/2 x 3/2 = 39/4
Now you would do long division where you divide 39 by 4
4 goes into 39 nine times subtracting 36 from 39.
You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.
The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.
What is mixed numbers?A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.
(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2
Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.
13/2 x 3/2 = 39/4
You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.
In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.
Therefore, 2 1/6 x 4 1/2 = 9 3/4.
To know more about the mixed numbers, click on the link
https://brainly.com/question/1746829
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Geometry problem help!
Please refer to the image below...
Answer:
A. 1/3
B. √10
C. -1, 1
D. √8, 6
E. congruent and opposite pairs parallel
F. perpendicular, not congruent
G. rhombus, explanation below
Step-by-step explanation:
Hey there! I'm happy to help!
-----------------------------------------------------------------
A.
Slope is the rise over the run. Let's look at F to G.
We are going from -1 to 2 on our x-axis (run), so our run is 3 units.
Our rise is 1 unit as we go from 2 to 3 on the y-axis.
[tex]slope=\frac{rise}{run} =\frac{1}{3}[/tex]
This slope is the same for all of the sides.
-----------------------------------------------------------------
B.
We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.
[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}[/tex]
-----------------------------------------------------------------
C.
The diagonals are the lines that connect the non-adjacent vertices.
Our two diagonals are FH and GE.
-----------------------------
FH
We go from x-value -1 to 1 from F to H, so our run is 2.
We go from y-value 2 to 0. so our rise is -2.
[tex]slope=\frac{rise}{run} =-\frac{2}{2} =-1[/tex]
-----------------------------
GE
We go from x-value -2 to 2 from E to G, so our run is 4.
We go from y-value -1 to 3. so our rise is 4.
[tex]slope=\frac{rise}{run} =\frac{4}{4} =1[/tex]
-----------------------------------------------------------------
D.
Let's use the distance formula on each of our diagonals.
-----------------------------
FH
[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}[/tex]
-----------------------------
GE
[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6[/tex]
-----------------------------------------------------------------
E.
They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)
-----------------------------------------------------------------
F.
They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).
-----------------------------------------------------------------
G.
Parallelogram- quadrilateral with opposite pairs of parallel sides.
Rhombus- a parallelogram with four equal sides
Square- a rhombus with four right angles
We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.
-----------------------------------------------------------------
Have a wonderful day and keep on learning!
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!
Answer:
(5,8) (6,7) (7,6)
Step-by-step explanation:
those three points make a line that has a negative slope. if m<0 then m<1
Ray is six years younger than Tom. John is three times as old as Ray. Let Tom be x years old. The three of them
have a combined age of 101. How old is each person?
find the value of ab when a=1/10 and b=7/8
simply answer
Answer: 7/80
Step-by-step explanation: because you would have to multiply the values of a and b, 7 times 1=7 and 8 times 10=80, so an= 7/80
A shirt and pants have a combined cost of 78 dollars. The shirt costs 15 dollars less then the pants. How much does each item cost
Answer:
The shirt is $31.50 and the pants are $46.50
Step-by-step explanation:
Let x represent the cost of the pants.
If the shirt is 15 dollars less than the pants, its cost can be represented by x - 15.
Create an equation, and solve for x:
(x) + (x - 15) = 78
2x - 15 = 78
2x = 93
x = 46.5
So, the pants are $46.50.
Subtract 15 from this to find the cost of the shirt:
46.50 - 15
= 31.50
The shirt is $31.50 and the pants are $46.50
Help me please now wrong answers please (i will report)
Answer:
B. II
Step-by-step explanation:
Take a look at the figure below:
help me ASAP pleaseee:((
Answer:
A
Step-by-step explanation:
x=13
so, A.T.Q
13-5+7=15
13+2=15
15=15
Translate the sentence into an inequality. The quotient of b and 2 is less than 10
Answer:
b/2 < 10 or b÷2 < 10
Step-by-step explanation:
Can someone help me
Answer:
Step-by-step explanation:
When the numerator is more than the denominator the fraction is more (> 1) than one.
If the numerator is less than the denominator the fraction is less ( < 1 ) than one.
1/2 : 53/100 = 100/106 (< 1)
1/2 : 13/22 = 22/26 ( < 1 )
1/2 : 24/50 = 50/48 ( > 1 )
1/2 : 47/100 = 100/94 ( > 1 )
Multiply. Write your answer as a decimal. −0.25(−1) = need ASAP
Answer:
= 0.25
Step-by-step explanation:
[tex] - 0.25( - 1) \\ = 0.25[/tex]
Answer:
0.25
Step-by-step explanation:
(1/2)^x=2^-x could anyone tell me why
Step-by-step explanation:
all explainations are in picture.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and PQ = RS. If PS = 18 and PR = 15, what is the value of QR?
Answer:
QR=12
................
f(x)=-x^2+3 find f(-2)
Answer:
f(-2) = - 1
Step-by-step explanation:
you could begin by understanding that f(x) is an alternate and informative version of y = -x^ + 3
The difference (critical) is that f(x) tells you how to substitute for x on the right.
You need to pay attention to doing something with - 2
f(-2) = - (-2)^2 + 3
Notice what you did. Wherever there is an x on the right, you put in a -2.
f(-2) = - (4) + 3
f(-2) = - 1
Find the reciprocal of 2/5.
Use the / as the fraction bar.
Answer:
5/2
Step-by-step explanation:
Answer:
the reciprocal is 5/2 hope this helps
If f(x) = 10x - 5, what is f-1(f(3))?
Answer:
if the question is what is f(x) -1 ( f(x) )
then the answer is;
=10x-5 -1[10(3)-5]
=10x-5 -1(30-5)
=10x-5-1(25)
=10x-5-25
=10x-30
I’m not sure how to do this. Please help.
Answer:
|x| = 8
Answer: x = 8, -8
Step-by-step explanation:
| | this symbol represents absolute value. When you remove absolute value it creates a ± sign on the opposite side.
x = ± 8
This means x = 8 and x = -8
The solutions are 8 and -8.
What is the recursive formula, if the sequence is 4, 7, 10, 13, ...?
O A(n - 4) + 3
O 4 + 3(n-1)
O A(n-1) + 3
Answer:
Step-by-step explanation:
In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?
A. -1
B. 7
C. 10
D. 14
E. 20
Hide Answer
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Best Regards,
E.
MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730
Answer:
4 + 3(n-1)
Step-by-step explanation:
Sequences start from n=1,2,3....
In this case
4 + 3(1-1)= 4
4 + 3(2-1) =7
And continue the pattern
Divide.
2.463÷104
24,630
0.2463
0.0002463
I don't know.
Answer:
0.023682692307692
Step-by-step explanation:
Above one is correct
Answer:
none of those answers are right the answer is 0.0236826923
Step-by-step explanation:
can someone help me with this question?
Answer:
128 grains.
I think so..
Step-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
Answer:
Step-by-step explanation:
[tex]u_1=1=2^0\\u_2=2=2^1\\u_3=4=2^2\\u_4=8=2^3\\\\...\\u_{64}=2^{63}\\\\we\ must\ calculate\\\\u_1+u_2+u_3+u_4+...+u_{64}\\\\=1+2^1+2^2+2^3+2^4+....+2^{63}\\\\=\dfrac{2^{64}-1}{2-1} \\\\=2^{64}-1\\\\=18446744073709551615\\\\=1.8446744073709551615*10^{19}[/tex]
Let x represent the side length of a square. Find a regular polygon with side length x whose perimeter is twice the perimeter of the square. Find a regular polygon with side length x whose perimeter is three times the length of the square
Answer:
Step-by-step explanation:t55
An octagon has 8 sides. If each of them has a length of x, then the perimeter is 8x which is twice the perimeter of the square. (The square has a perimeter of 4x)
A dodecagon is a 12 sided regular polygon. It will have 12 sides all of which are equal to x. Since the square has a perimeter of 4x and the dodecagon has a perimeter of 12x the perimeter of the dodecagon is 3 times that of the given square.
Guided Practice
x
1
2
3
4
y
3
6
9
12
Which function models the data in the table?
A.
y = 3x
B.
y = x3
C.
y = 3x
Answer:
A. y=3x
Step-by-step explanation:
<2 and <3 are __ angles
A. complementary
B. Vertical
C. Right
D. Supplementary
<2 and <4 are __ angles
A. complementary
B. Vertical
C. Right
D. Supplementary
Answer:
first D and second B.
Step-by-step explanation:
first D and second B.
Answer:
Use the diagram.
1.
angle1 and angle2 are adjacent angles.
Correct answer A. true
Incorrect answer B. false
2.
angle3 and angle4 are complementary.
Incorrect answer A. true
Correct answer B. false
3.
angle2 and angle3 are ______ angles.
Incorrect answer A. complementary
Incorrect answer B. vertical
Incorrect answer C. right
Correct answer D. supplementary
4.
angle2 and angle4 are ____ angles.
Incorrect answer A. complementary
Correct answer B. vertical
Incorrect answer C. right
Incorrect answer D. supplementary
5.
Find mangleABC if the line modifying above upper B upper D with two-way arrow bisects angleABC and given mangleABD = 5x and mangleDBC = 3x + 10.
Incorrect answer A. 5°
Incorrect answer B. 25°
Incorrect answer C. 30°
Correct answer D. 50°
Step-by-step explanation:
100% correct my friends
good luck out there
; )
what do i put in the boxes??
Step-by-step explanation:
15 is between 9 and 16 which are two perfect squares
[tex]9 < 15 < 16[/tex]
[tex] \sqrt{9} < \sqrt{15} < \sqrt{16} [/tex]
[tex]3 < \sqrt{15} < 4[/tex]
How many terms are in the following polynomial provided below? (give a
numerical value as answer - i.e., 10)*
3x2 – 2y + 8x – 16
Answer:
4
Step-by-step explanation:
A term is a constant or variable or product of constant and variables
3x² ----> term 1
-2y ------> term 2
+8x -------> term 3
-16 -------> term 4
how far is the point (8,6) from the origin
5
What is the slope of the equation
7
4?
01
0 -1
0 1
O 5
Answer:
the slope is 5/4
Step-by-step explanation:
i just did this in math class
insert the equation y=mx+b
m is the slope
Answer:
Slope is 5/4
Step-by-step explanation:
General equation of a line:
[tex]y = mx + c[/tex]
m » slope
by comparison with;
[tex]y = \frac{5}{4} x - \frac{7}{4} [/tex]
[tex]{ \sf{slope \: is \: \frac{5}{4} }}[/tex]
Aaaaaaaaaaaaaaaaaaaa
(a + 1) × (a + 2) =
Answer:
Ithink the answer is 6 hope it helps please mark as brainliest
Answer:
a^2+3a+2
Step-by-step explanation:
(a + 1) × (a + 2)
a x a = a^2
a x 2 = 2a
1 x a = 1a
1 x 2 = 2
a^2 +2a+1a+2
2a+1a =3a
a^2+3a+2
2 5/8 x -2 3/5=
i need this answer to be quick
Answer:
[tex]{ \underline{ \sf{it \: is \: - 6 \frac{33}{40} }}}[/tex]
Step-by-step explanation:
[tex]2 \frac{5}{8} \times ( - 2 \frac{3}{5} ) \\ \\ = \frac{21}{8} \times - \frac{13}{5} \\ \\ = - \frac{273}{40} \\ \\ = - 6 \frac{33}{40} [/tex]
PLEASE IF YOU CAN I'D APPRECIATE ALL HELP. THIS IS MY LAST ATTEMPT AT IT AND IT'S DUE SOON.
Answer:
114°
Step-by-step explanation:
(x+95)°=6x°[being vertically opposite angles]
or, 95=6x-x
or, 95= 5x
or, 95/5 = x
or, 19 = x
Then,
(x+95)°
= 19+95°
= 114°
Answer:
114 Degrees
Step-by-step explanation:
x=19
You do this by setting (x+95)=6x and then solving for x.
If you need further explanation let me know!
how would I graph this correctly?
Answer:
You would shade the fourth quadrant (bottom right).
Step-by-step explanation:
Due to the domain and range sets, you're given the facts that x must be greater than or equal to 0, but y is less than or equal to zero. This gives you what quadrant the graph should be in. Since you're not given an equation to follow like y=ax+b, then I can not say that this will give you a line.