7/12
12/12 is the total
So 12/12 minus 5/12 is 7/12
Correct me if I am wrong
The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?
Answer:
31
Step-by-step explanation:
Let the numbers be x and y.
"The sum of two numbers is 43." gives us the first equation.
x + y = 43
"One number is five less than three times the other number." gives us the second equation.
y = 3x - 5
Now we solve the system of two equations below.
x + y = 43
y = 3x - 5
Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.
x + y = 43
x + 3x - 5 = 43
4x - 5 = 43
4x = 48
x = 12
The first number is 12. Now we find the second number.
x + y = 43
12 + y = 43
y = 31
The larger number is 31.
Answer:
31 is greater
Step-by-step explanation:
I will solve your system by substitution.
x=3y−5;43=x+y
Step: Solve x=3y−5 for x:
Step: Substitute 3y−5for x in 43=x+y:
43=x+y
43=3y−5+y
43=4y−5 (Simplify both sides of the equation)
43+−4y=4y−5+−4y (Add -4y to both sides)
−4y+43=−5
−4y+43+−43=−5+−43 (Add -43 to both sides)
−4y=−48
(Divide both sides by -4)
y=12
Step: Substitute12foryinx=3y−5:
x=3y−5
x=(3)(12)−5
x=31(Simplify both sides of the equation)
Answer:
x=31 and y=12
31 is greater than 12
brainlist and thanks if correct answer is screen shot
Answer:
y = 8/5
Step-by-step explanation:
y /2 = 4/5
Multiply each side by 2
y/2 * 2 = 4/5 *2
y = 8/5
The following are the temperatures in °C for the first 10 days in January:
-4.2, -7.6, -2.3, -6.4, -3.3, 5.4, -7.7 ,-8.2 ,1.6 ,8.6
Calculate the range.
ok so to find the range it is the biggest subtracted from the smallest so it would be
8.6- -8.2= 16.8
I worked it out to be 16.8 hope this helps
A rectangular prism has a volume of 720 cubic units. How many unit cubes would fill the volume of the solid if they were packed without any gaps or overlaps?
Answer: 720 I think
Step-by-step explanation: Because if there are 720 cubic units, you can only fit 720.
There will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.
What is volumes?Volume is defined as the space occupied within the boundaries of any three-dimensional solid.
Given that, a rectangular prism has a volume of 720 cubic units, we need to find that, how many unit cubes would fill the volume with the solid if they were packed without any gaps or overlaps,
So, to find the same, we will divide the volume of the prism by the cube.
Volume of the cube = side³ = 1³ = 1
Therefore, number of cubes to be fitted = 720 / 1 = 720
Hence, there will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.
Learn more about volumes, click;
https://brainly.com/question/28058531
#SPJ3
What is the domain?!
Answer:
x is equal to or greater then 3
Step-by-step explanation:
Answer:
X is equal to or greater than 3
Step-by-step explanation:
In the graph the curved arrow is pointed to the numbers below the line in the graph chart. Brainliest?
Which of the following is true for the statement "7 is an odd number"? Question 5 options: A) It's both an open and closed statement. B) It's an open statement. C) It's a compound statement. D) It's a closed statement.
Answer:
Answer is C It's a compound statement
Step-by-step explanation:
Hope this helps!
Good luck!
Answer:
anser is C
Step-by-step explanation:
What is the area of the parallelogram? 144 in² 72 in² 50 in² 25 in²
Answer:
A = 144 in ^2
Step-by-step explanation:
To find the area
A = l*w
A= 9*16
A = 144 in ^2
Simply multiply the width (9) by the height (16) to get 144 inches squared.
what is the missing justification ?
Micah is buying gravel for a tock garden that will be
edged by a circuar metal border. She will use 110 feet of
metal edging for the border. What is the area of the
garden? Use 3.14 for pi.
Answer:
Area= 15,414.0127
Step-by-step explanation:
See picture attached
pls help asap!!!
Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard
deviation is 32.
Answer:
Step-by-step explanation:
Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 474
σ = 32
x = 514
The probability of being below 514 is expressed as P(x < 514)
For x = 514,
z = (514 - 474)/32 = 1.25
Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89
Therefore,
P(x < 514) = 0.89
Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? Explain.
Answer:
πr2
Step-by-step explanation:
The shape changed, but the amount of space inside the shape remained the same. The space inside the parallelogram is the same as the space, or area, inside the circle. The area of the circle is 0.5 × circumference × radius = πr2.
PLEASEEEE ASAP I NEED HELP Drag the tiles to the correct boxes to complete the pairs.
Match the one-to-one functions with their inverse functions.
f(x)=3-17
f(x) = 1-10
fix)= 322
f(x) =
Inverse Function
Function
$-+()=56
s-lis) =
1-1(x)=1+10
311 +17)
(140) =
Answer:
in order to right to left
Step-by-step explanation:
4th
3rd
2nd
1st
The required functions are obtained as f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.
What is the inverse of a function?The inverse of a function y = f(x) is defined as a function having range as the domain of the function f(x) and domain as the range. Mathematically it can be written as f⁻¹(y) = x which implies that f⁻¹(f(x)) = x.
The given problem can be solved as follows,
(a) f⁻¹(x) = 5x
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = 5f(x)
=> x = 5f(x)
=> f(x) = x/5
(b) f⁻¹(x) = x³/2
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = f(x)³/2
=> x = f(x)³/2
=> f(x) = ∛(2x)
(c) f⁻¹(x) = x + 10
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = f(x) + 10
=> x = f(x) + 10
=> f(x) = x - 10
(d) f⁻¹(x) = 3( x + 17)/2
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = 3( f(x) + 17)/2
=> 2x = 3( f(x) + 17)
=> 2x/3 = f(x) + 17
=> f(x) = 2x/3 - 17
Hence, the functions for the given inverse functions are f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.
To know more about inverse of a function click on,
https://brainly.com/question/2541698
#SPJ2
Which system of equations can be graphed to find the soultion(s) to x^2=2x+3
Answer:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
Step-by-step explanation:
The system would be:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)
Find the smallest positive integer k such that 360k is a cube number.
Answer: k = 75
Step-by-step explanation:
360
∧
36 10
∧ ∧
6 6 2 5
∧ ∧
2 3 2 3
Prime factorization of 360 is: 2³ · 3² · 5
Since we want a perfect cube, every number must be to the power of 3.
That means we need a 3 and 2 more 5s to make a cube
k = 3 × 5 × 5
= 75
Answer:
k = 75
Step-by-step explanation:
Factorize 360
360 = 36 * 10
= 2 * 2 * 3 * 3 * 2 * 5
As 360k is cube number, k = 3 * 5 * 5
k = 75
360k = 360 * 75 = 27000 is a perfect cube
4x - 2y = -2 6x + 3y = 27
Answer:
Step-by-step explanation:
4x - 2y = -2 ------------------(I)
6x + 3y = 27 ------------------(II)
Multiply (I) by 3 & multiply (II) by 2
(I)*3 12x - 6y = -6
(II)*2 12x + 6y = 54 { Now add & y will be eliminated}
24x = 48
x = 48/24
x = 2
Plugin the value of x in equation (I)
4*2 - 2y = - 2
8 - 2y = -2 {subtract 8 from both side}
-2y = -2 - 8
-2y = -10 {Divide both sides by -2}
y = -10/-2
y = 5
At an ice cream shop, the profit, P(c), is modeled by the function P(c) = 0.87c, where c represents the number of ice cream cones sold. An appropriate domain for this function is
please help!!
Answer:
2. an integer > 0
Step-by-step explanation:
At an ice cream shop, the profit, P(c), is modeled by the function ;
P(c) = 0.87c. An appropriate domain for this function is an integer [tex]\geq[/tex] 0.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
At an ice cream shop, the profit, P(c), is modeled by the function ;
P(c) = 0.87c,
where c represents the number of ice cream cones sold.
An appropriate domain for this function is an integer [tex]\geq[/tex] 0.
Learn more about function here:
https://brainly.com/question/19425567
#SPJ2
I REALLY NEED HELP YALL LIVES DEPEND ON IT!! plz help (ASAP )
Answer:
53%
49%
1 2
Step-by-step explanation:
540 / (540+470) = 0.5346
452 / (470+452) = 0.4902
Digital downloads of Album 1 :
470 / (540+470) = 0.4653
Digital downloads of Album 2 :
452 / (571+452) = 0.4418
(would really, reallly appreciate the brainliest)
A triangle has side lengths 3.4 cm, 4 cm, and 5.2 cm. The angle measures are 40°, 50°, and 90°.
What type of triangle is this triangle?
acute scalene
right isosceles
acute isosceles
right scalene
Answer:
right isosceles I'm pretty sure
The solution is Option D.
The triangle is a right scalene triangle
What is a Scalene Triangle?A scalene triangle is a type of triangle with three different length sides and three interior angles that add up to 180 degrees. Scalene triangles have no equal of parallel sides , hence there is no line of symmetry. The interior angles of a scalene triangle can be acute , right or obtuse angles.
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
The measures of the sides of the triangles are 3.4 cm , 4 cm and 5.2 cm
The measures of angles of triangle are 40°, 50°, and 90°
Since the triangle is having all its length and sides different , it is a scalene triangle
Now , For a right angle triangle
hypotenuse² = base² + height²
( 5.2 )² = ( 3.4 )² + ( 4 )²
( 5.2 )² = 11.56 + 16
( 5.2 )² = 27.56
Hence , the triangle is a right scalene triangle
To learn more about scalene triangles click :
https://brainly.com/question/10651823
#SPJ6
Find the value of x in each case. Give reasons to justify your solutions!
H∈ IG
Answer:
x = 24°
Step-by-step explanation:
Lines JH and EG are the parallel lines and HF is a transverse.
∠JHF ≅ ∠HFE [Interior alternate angles]
m∠JHF = 2x
Since, m∠JHF = m∠JHG + m∠FHG
2x = m∠JHG + x
m∠JHG = 2x - x = x
Since m∠JHI + m∠JHG = 180° [Supplementary angles]
156° + m∠JHG = 180°
m∠JHG = 180 - 156
m∠JHG = 24°
x = 24°
Therefore, x = 24° will be the answer.
Harvey bought a. Frame in which he put his family picture in what is the area of the frame not covered by the picture
Answer:
Area of the frame not covered with photo is equal to 129 square inches
Step-by-step explanation:
Given: Image of a frame
To find: Area of the frame not covered by the picture
Solution:
Area of rectangle = length of the rectangle × breadth of rectangle
Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches
Area of the frame covered with photo = 18 × 12 = 216 square inches
Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches
PLEASEEE HURRY!!
Evaluate the expression 3c (−2) d (−4) for c = 3 and d = 4. the number in parenthesis are exponents.
Answer:
288
Step-by-step explanation:
In the given expression, we can replace the given values for c and d
Since c is 3 and d is 4,
3c(-2)d(-4)
After substituting we multiply:
= 3*3*-2*-4*4
= (9)(-2*-4)*4
Two minuses become positive
So it'll be,
9*8*4
= 288
Here's ur answer
A fair spinner has four colors: red, blue, yellow, and green. What is the probability of spinning red,
then blue?
Leave your answer in fraction form lowest terms.
Answer:
1/4
the fair spinner has four colors.
1.red
2.blue
3.yellow
4.green.
and red is 1 . Total number of outcome is 4.
Answer:
the sum is 1
Step-by-step explanation:
right on edge
Place the fractions 3 7 , 1 3 , 2 5 , and 3 8 in order from least to greatest.
Answer:
[tex]1/3,[/tex] [tex]3/8,[/tex] [tex]2/5,[/tex] [tex]3/7[/tex]
Step-by-step explanation:
[tex]3/7 \approx 0.42857142857[/tex]
[tex]1/3 \approx 0.33333333333[/tex]
[tex]2/5 = 0.4[/tex]
[tex]3/8 = 0.375[/tex]
Answer:
1/3,3/8,2/5,3/7
Step-by-step explanation:
Sally scored 750 points on a video game.
She wants to round the number to the nearest hundred.
Which statements are true? Choose all that apply.
A.
750 is closer to 800 than to 700.
B.
750 is closer to 700 than to 800.
C.
750 is halfway between 700 and 800.
750 rounds to 700.
E.
750 rounds to 800.
Answer:
E. 750 rounds to 800
Step-by-step explanation: first thing is to look at the tens value, numbers 1-4 get rounded down and numbers 5-9 get rounded up.
Answer:
E. 750 rounds to 800.
Step-by-step explanation:
750 is halfway between 700 and 800, but when rounded to the nearest hundred, 750 is 800.
Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.
Can you conclude that triangle GHF is congruent to triangle GJK? Explain.
yes, by ASA
yes, by AAS
yes, by AAA
not enough information given
the answer is D
Answer:
D.) not enough information given
Step-by-step explanation:
It is 100% correct on Edgeunity June 2020
Option A. yes by ASA is correct.
Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.
Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.
Since we have one angle FHG and angle KJG and one side from both triangle HG = GJ equal
so the angle opposite to equal side must be equal. i.e.
Angle HFG = Angle JKG
hence , triangle is congruent by ASA
Thus, Option A. yes by ASA is correct.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ2
If you were to measure a person once a year, every year, from the ages of ten to twenty-five, would your ordered pairs
of age and height represent a function?
Ono
yes
Answer:
yes :) most ordered pairs would be a function.
Answer:
yes
Step-by-step explanation:
Most functions are already ordered pairs.
Suppose a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage. Suppose over 50% of those called do not support gay marriage. Does that mean that you can say over 50% of all people in the U.S. do not support gay marriage? Explain.
Answer:
No
Step-by-step explanation:
The only people who were contacted were those with a landline, which is not the entire U.S. Because of the cell phone, there are many in the U.S. who do not own a landline, so this does not represent the entire U.S. population.
the _______ is the process of adding interest to the capital during specific periods indicated
The congressional Record is the process of adding interest to the capital during specific periods indicated.
PLEASE HELPPPP
A spherical mold is used to create chocolate candy. What is the volume of the mold?
Leave answer in terms of pi.
Answer:
1774.67π mm³
Step-by-step explanation:
Please find attached to this question, the required diagram.
From the question, we are told we have a spherical mold.
We would find the volume of a spherical mold using the formula for the volume of a sphere.
The volume of a sphere is calculated as : 4/3πr³
From the attached diagram, we are given the Diameter do the spherical mold as: 22mm
Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm
The volume of the spherical mold = 4/3 × π × 11³
= 1774.6666667π mm³
Approximately and leaving it in terms of pi (π)= 1774.67π mm³
Find the ratio that is equivalent to 10:5.
OA) 15:5
OB) 5:10
OC) 2:1
OD 5:1
Answer:
OB) 2:1
Step-by-step explanation:
5 can go into 10 twice and 5 can go into itself once
Answer:
2:1
Step-by-step explanation:
10:5= 2:1
If you divide both numbers by 5:
10/5:5/5 it equals to 2:1