John finds that the sum of two numbers is 24 and their difference is one sixth of the sum. Find the smallest number between the two numbers

Answers

Answer 1

Answer:

The smallest number is 10

Step-by-step explanation:

x+y=24---equation 1

x-y=¹/6×24=>x-y=4---equation 2

Add both equations

2x=28

x=14

put x=14 into equation 1

14+y=24

y=24-14=10


Related Questions

Find the product.

(-2 x2 ) 3 ·3 x

Answers

Answer: -24x^7

Step-by-step explanation:

pemdas so you do parentheses first therefore getting  (2x^2)^3x3x

remove the parentheses

do -8x^6x3x

after that you end up with -24x^7

Simplify (-2x^2) ^3 by raising each term by 3:

-2^3x^6

Now you have

-2^3 x^6 times 3x

-2^3 = -8

x^6 tomes x = x ^7

-8 x 3 = -24

Answer is -24x^7

Can someone help me with this math homework please!

Answers

Answer:

Step-by-step explanation:

1) Least common denominator of 4 and 2 is 4

To eliminate the fraction, each term should be multiplied by 4

ANS:option c

2) Mercury level of water 'y' years = Initial measure +rate of increase 'y' years

0.05 +0.1y = 0.12+0.06y

Ans : Option c

3) 4b +6 = 2 - b + 4

Add 'b' to both sides

4b + b + 6 = 2 + 4

5b + 6 = 6

Subtract 6 from both sides

5b = 6 - 6

5b = 0

 b = 0

Ans : Option b

4) Maximum decimal places in this equation is 2. So, to eliminate decimal places, The equation should be multiplied by 100

Ans: option d

5) y +6 = -3y + 26

Add 3y to both the sides

y + 6 + 3y =  26

y + 3y + 6 = 26

4y + 6 = 26

Subtract 6 from both sides

4y = 26-6

4y = 20

Divide bothe sides by 4

y = 20/4

y = 5

Ans: option c

6) '2x' is  subtracted from both side of the equation.

Ans: option a - subtraction property of equality

                     

-2
Simplify the expression
4ab
Assume a = 0,6=0.
1
16a2b2
a²b²
4
-162²62
16ab2

Answers

Answer:

D

Step-by-step explanation:

(4ab)^2 = 4^2a^2b^2 = 16a^2b^2

If AVB has a measure of 88° and VM is its angle bisector, what is the
measure of AVM?

A. 88°
B. 22°
C. 176°
D. 44

Answers

Answer:

B. 22°

Step-by-step explanation:

Angle bisector divides an angle into two equal angles.

Angle AVM = Angle MVM = Angle AVB / 2

Angle AVM = Angle AVB / 2

Angle AVM = 88 / 4

Angle AVM = 22°

Answer:

44

Step-by-step explanation:

product of -2/3 and 5 2/4?​

Answers

Answer: [tex]-\frac{11}{3}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} *5\frac{2}{4} \\\\\\=-\frac{2}{3} *5\frac{1}{2} (5\frac{1}{2} =\frac{5*2}{2} +\frac{1}{2} =\frac{10+1}{2} =\frac{11}{2})\\\\\\=-\frac{2}{3} *\frac{11}{2} =-\frac{11}{3}[/tex]

Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units

Answers

Answer:

223.6 square units. or 223.569 square units

Answer:A

Step-by-step explanation:I took the test

Which ordered pairs show the location of the bleachers check all that apply

Answers

[tex]\hookrightarrow \:

Y =
x
+
Start Over
y
OF
9
8
6
5
4
-10 -9
-8
-6
-4
1
1
4
9
-
8
9
OT
--
-6
-9
-9

Answers

Answer:

therefore According to the diagram y= start over

The transformation of the parent graph of y = √x to y = (1/2)√x is a vertical compression by a factor of 1/2.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

As per the shown graph, for any value of x, the output of the function y = (1/2)√x is half of the output of the function y = √x. This means that the y-values of the transformed graph are compressed vertically by a factor of 1/2 compared to the parent graph, while the x-values remain unchanged.

Visually, the graph of y = (1/2)√x will be flatter and closer to the x-axis than the graph of y = √x, with the same x-intercepts (0,0) and (1,1).

Thus, the y-values of the transformed graph are compressed vertically by a factor of 1/2 compared to the parent graph.

To learn more about the transformations click here :

https://brainly.com/question/11352944

#SPJ7

The number of students in a geometry class is four
fifths the number of students in a Spanish class.
The total number of students in both classes does
not exceed 54. What is the greatest possible
number of students in the Spanish class?

Answers

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

Find the measure of the third angle of a triangle if the measures of the other two angles are given.
118.6 and 42.3

Answers

The three inside angles of a triangle equal 180.

Subtract the two known angles from 180.

180 - 118.6 - 42.3 = 19.1

The third angle is 19.1

The third angle is going to be 19.1

Chad gets an annual salary of 25,000. He and his family spend 3500 per year on food. What percent of his salary is spent on food

Answers

Answer:

[tex]\frac{x}{100}[/tex] x 25000 = 3500

[tex]x[/tex] x 250 = 3500

x = 3500/250

x = 350/25

x = 14%

Jimmy has a 4-kilometer head start on Higgs. How long will it take Higgs to catch Jimmy if Jimmy travels at 6 kilometers per hour and Higgs travels at 8 kilometers per hour?

Answers

Answer:

6x+4 = 8x

4=2x

x=2 hrs

Step-by-step explanation:

Find the product of the Mixed numbers.

2 2/3 x 1 1/2
what statemets are correct? Check all that apply.
1. write the mixed numbers as improper fractions
2. multiply the numerators to get 24.
3. multiply the denominators to get 6.
4. write the improper fractions as a mixed number
5. The product is 4.
6. The product is 2 2/5

Answers

Answer:

1., 2., 3., 5.

Step-by-step explanation:

2 2/3 x 1 1/2 =

= (2 * 3 + 2)/3 * (1 * 2 + 1)/2

= 8/3 * 3/2

= 24/6

= 4

Answer:

Write the mixed numbers as improper fractions.

Multiply the numerators to get 24.

Multiply the denominators to get 6.

Write the improper fraction as a mixed number.

The product is 4.

Step-by-step explanation:

the other person is wrong

I purposely got this question wrong so I can see the right answers

these are the correct answers

(edge)

Manny’s bedroom door is 9 feet tall and 3 feet wide. a new door would cost $1.00 per square foot. how much would a new bedroom door cost in total?

Answers

Answer:

It will cost a total of $27.00.

Step-by-step explanation:

Manny's bedroom door is 9 feet tall and 3 feet wide.

The new door costs $1.00 per square foot.

And we want to find the total cost of the new door.

Since the door is a rectangle 9 feet tall and 3 feet wide, its total area is:

[tex]\displaystyle 9\cdot 3 = 27\text{ ft}^2[/tex]

And since it costs $1.00 per square foot, we can simply multiply it to the total area. Hence:

[tex]\displaystyle 27\text{ ft}^2\cdot \frac{\$ 1}{\text{ ft}^2}=\$27.00[/tex]

It will cost a total of $27.00.

Answer:

A new bedroom door costs $27.00

Step-by-step explanation:

The bedroom door mentioned here is in a rectangular shape. That is commonly used in these type of questions:

The area of a rectangle is length x width:

9 feet x 3 feet = 27 square feet

If a new door would cost $1.00 per square feet, the total cost will be the area of the door times $1.00:

27 x 1 = 27

Therefore a new door would cost $27.00

Hope this helps

Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?

Answers

Jaime’s chemistry textbook weighs 0.1 pound more than his geometry textbook. In fraction form, it is 1/10 pound more.

Unit Test Unit Test Active 1 2 3 4 5 6 7 CO Given fix) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]? -6, -1/2, 1/4, 1​

Answers

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another,  that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:

Let's start with x = 1.

f(1) = [tex]17-(1)^2[/tex] so

f(1) = 16 and the coordinate is (1, 16).

f(5) = [tex]17-(5)^2[/tex] so

f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:

[tex]m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6[/tex] So the answer is -6.

5. If 40 of 160 moviegoers who watched a certain movie said that they would like to see the movie again, what is the probability that any moviegoer who saw the said movie would like to see it again? A. 0.25
B. 0.50
C. 0.75
D. 0.85​

Answers

Answer: A. 0.25

Step-by-step explanation:

You need to divide 40 by 160 to calculate the percentage.

In the diagram, ABC is an equilateral triangle, BCFG is a square and CDEF is a rectangle. The perimeter of the whole diagram is 65cm, find the length of GE​

Answers

Answer:

22 cm

Step-by-step explanation:

the perimeter = AB+BG+GF+FE+ED+DC+CA

= 65 cm

7+7+7+FE+7+DC+7=65 => FE = CD

35+ 2FE = 65

2FE = 65-35

= 30

FE = 30/2 = 15

so, GE = GF + FE

= 7+15 = 22 cm

What is the answer for y?

Answers

the answer is in the picture

Yea the answer should so in the pic kinda simple

help plsssssssssssss i really need helpppp

1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

Answers

Answer:

y= x + 3

Step-by-step explanation:

we know that

The linear equation in slope-intercept form is equal to

y= mx + b

where

m is the slope

b is the y-intercept

step 1:

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to: y2-y1

                                                                                                               x2-x1              

substitute

M= 50-40/47-37

10/10 = 1

step 2:

Find the y-intercept

we have: m=1

point (37,40)

substitute in the linear equation: 40= (1) (37) + b

solve for b: 3

therefore

The linear equation is: y = x + 3

What is the measure of angle ABC?

Answers

Answer:

the answer is already in the question

D. 130°

D. 130

Solve the equation
1/x + 1/3x = 4

Answers

Answer:

x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} + \frac{1}{3x} = 4[/tex] (Multiply everything by LCM)

[tex]3x*\frac{1}{x} + 3x*\frac{1}{3x}=3x*4[/tex] (Simplify the fractions)

[tex]3+1=12x\\4=12x\\x=4/12\\x=\frac{1}{3}[/tex]

HELP QUICKLY PLEASE!! ​

Answers

Answer:

D

Step-by-step explanation:

Because the first equation is equivalent to 1, and d is equivalent to 1, the rest are incorrect

EXERCISE 81 Solve each of the following word problems: 1) A triangular shaped roof is 4 metres in all sides. What is its perimeter

Answers

Answer:

12 m/meters

Step-by-step explanation:

3 sides= triangle

so.. 4m+4m+4m= 12 meters

What is the mean from the frequency conceded goals frequency 0 2 1 8 2 4 3 10 4 6

Answers

Answer:

Mean = 2.33

Step-by-step explanation:

Given that,

conceded goals : 0 1 2 3 4

Frequency : 2 8 4 10 6

Mean,

[tex]M=\dfrac{\Sigma fx}{\Sigma f}\\\\M=\dfrac{0\times 2+1\times 8+2\times 4+3\times 10+4\times 6}{2+8+4+10+6}\\\\=\dfrac{70}{30}\\\\M=2.33[/tex]

So, the required mean is 2.33.

If you were asked to equate the sides of an equation, how would you do that​

Answers

Answer:

you would divide an equation from the multiple and then you would simplify the equation for an answer

Find each measure

Please help me

Answers

Answer:

11:90

12: 90

13: 90

14:90

15:180

16: 135

17:225

Step-by-step explanation:

I don't know if this is entirely true but I hope it helps

What does 1/8 equal to

Answers

Answer:

0.125

Step-by-step explanation:

It could be a lot of things, but if you mean the decimal form then it would be 0.125. Just divide 1 by 8.

which of the following numbers has the least number of positive divisors if a=50^(100) . choose: 1)25a 2)4a 3)3a 4)26a 5)10a​

Answers

Answer:

the answer would have to be B

Step-by-step explanation:

Find the area of the parallelogram

Answers

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

Other Questions
what are the other possiblities of development in nepal Determine whether the sequence is arithmetic or geometric. Sequence 1: 10, 20, 40, 80, ... Sequence 2: 15, 5, 25, 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2. Which of the following statements is false?) Glucose molecules are the basic units of celluloseB) Glycerol is a basic unit of oils.C) Simple sugars like glucose are the basic unit of fats.D) Amino acids are basic units of proteins. Imagine a cantilever beam fixed at one end with a mass = m and a length = L. If this beam is subject to an inertial force and a uniformly distributed load = w, what is the moment present at a length of L/4? guys help me what is the answer? Which expression has a value of 15 when it equals 249-573--561-282819 Compare the energy requirements of a 50 year old woman and 50 year old man. When a customer is venting their anger, they will be easier to deal with if you _____.a. acknowledge their anger and let them share some of it with youb. encourage them to continue ventingc. suggest an immediate solution to their problemd. immediately advise management of the problem The following data set represents the ages of all 6 of Nancy's grandchildren.11, 8, 5, 6, 3,9To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or populationstandard deviation for this data set? A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the vertical height of the cone? 14. (GT.03)Which of these best matches a source of information with its most reliable use? (2 points)cladogram date events which occurred in Earth's pastcladogram study the evolution of organisms based on adaptationsfossil records compare the evolution of completely soft-bodied organismsfossil records study the behavior of primitive animals in extreme weather conditions What is the sum of the 15th square number and the 5th cube number? Two alternate plans are available for increasing the capacity of existing water transmission lines between an unlimited source and a reservoir. The unlimited source is at a higher elevation then the reservoir. Plan A calls for the construction of a parallel pipeline and flow by gravity. Plan B specifies construction of a booster pumping station. Estimated cost for the two plans are as follows: Hint: Use Present Worth- (do not guess show all your work) i=10% Plan A : Cost $700,000, Life 40 Years, Annual Operation and Repair $1,000/Year Plan B: Cost $200,000, Life 40 Years Structure and 20 years equipment, Equipment replacement at the end of 20 years $75,000, Annual Operation and Repairs 52,000/yeara. Plan A $709,779.00 b. Plan A $740,000 c. Plan B $710,165.50 d. Plan B $326,000 Name a state that starts with K From USA There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot Write 48596 in standard form Match the pairs of equivalent exMatch the pairs of equivalent expressions. pressions. 74. A portion of a board has length x feet. The other part haslength (7x 9) feet. Express the total length of the boardas a simplified expression in x. What is the typical number of payments that can be made toward paying off a single payment loan?A. one hundredB. oneC. twoD. unlimited Uma madeira clandestina corta 325 rvores por dia em quantos dias eles devastaram uma rea com 1625 rvores