If the smaller of two numbers is one half of the larger number and the sum of the two numbers is 60 find the numbers

Answers

Answer 1

Larger number = X

Smaller number = 1/2X

X + 1/2X = 60

Simplify:

1 1/2x = 60

Divide both sides by  1 1/2:

x = 40

The numbers are 20 and 40


Related Questions

There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?

Answers

Answer:

10 carrots

Step-by-step explanation:

So we have 6:8 which is 3:4, meaning that something needs to be changed

Solve for x assuming that we have 6 cabbages

1/3=6/x

x=18

Now we have 6:18, which is 1:3 simplified

There are already 8 carrots so subtract 8

18-8=10

Plz help, fill in the blanks in order

Plz help, fill in the blanks in order

Answers

Hdjxjcjfjfjddjjdjdjrkrkkrkr

triangle LMN is reflected about line y=3

where is point M on the transformed triangle?
A.(3,6)
B.(9,6)
C.(-3,-6)
D.(-3,0)​
please answer it I need it for a test pls help

triangle LMN is reflected about line y=3 where is point M on the transformed triangle? A.(3,6)B.(9,6)C.(-3,-6)D.(-3,0)please

Answers

Answer:

the correct answer is: c (-3,-6)

Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $300 more than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 6% per year, and for the laptop it was 7% per year. The total finance charges for one year were $398. How much did each computer cost before finance charges?

Answers

Answer:

i think

Desktop: $2900.00,  Laptop: $3200.00

Step-by-step explanation:

Alex wants to buy a house in 5 years. If he puts $3245 in an account at 7.35% compounded annually for 5 years. How much money will he have for a down payment on his house?

Answers

Answer: 32.78

Step-by-step explanation:

Natalie borrowed money from her parents to pay for a trip.

​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed.

​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks.



Number of Weeks Natalie Has Paid,

w
Amount Natalie Still Owes,

d

0
0 ​
$
180
$180

2
2 ​
$
162
$162

4
4 ​
$
144
$144

6
6 ​
$
126
$126

8
8 ​
$
108
$108
​Part A

How much does Natalie pay her parents each week?

​$
per week



​Part B

Write a function that shows the relationship between the ​amount Natalie still owes,

d, and the number of weeks she ​has paid,

w.

Answers

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ1

The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

X=27?54?61
Hellpppp plz only serious answers

X=27?54?61 Hellpppp plz only serious answers

Answers

Answer: I’m pretty sure your right

Step-by-step explanation:

sorry if I’m wrong

Answer:

You are right

Step-by-step explanation:

Measures of angle e and measures of angle f are complementary.The measure of angle e is 54 more than the measure of angle f fine the measures of each angle

Answers

The measure of angle e is 54 more than the measure of angle f fine the measures of each Complementary angle f=18° e=72°

Complementary angles are two angles that add up to exactly

90°. The two angles can be part of the same or different figures. Complementary angles do not need to be adjacent angles or oriented in the same direction. If any two angles sum to exactly

90°, then they are two complementary angles.

Given ,

Measures of angle e and measures of angle f are complementary

e + f = 90°

e=90°-f .....1

The measure of angle e is 54 more than the measure of angle f

e= f + 54°  .......2

From 1 and 2

f+54°= 90°-f

2f=90° - 54 °

2f = 36°

f = 18°

e= f+ 54°=18°+54° = 72°

To learn more about Complementary angles visit , https://brainly.com/question/27426642

#SPJ9

There are 40 children watching a magic show. 24 of the children are boys, and 16 of the children are girls. The magician needs to select 4 children to help him with his show. What is the probability that all 4 helpers will be girls

Answers

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

A glass is 1/3 full. Then 40cm3 of orange juice is poured in.
The glass is now 5/7 full. What is the total volume of the glass?

Answers

Answer:

105 cm³

Step-by-step explanation:
i think lol

What is an equivalent to -16m^2n-(-25m^2n)+(-7m^2n)

Answers

Answer:

The equivalent expression is:

\(-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n\)

Step-by-step explanation:

Given the expression

\(-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)\)

\(\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\)

\(=-16m^2n+25m^2n-7m^2n\)

\(\mathrm{Add\:similar\:elements:}\:-16m^2n+25m^2n-7m^2n=2m^2n\)

\(=2m^2n\)

Therefore, the equivalent expression is:

\(-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n\)

Which one of the following pairs of numbers contains like fractions?
A. 1/2 and 3/2
B. 4/8 and 12/16
C. 6/7 and 60/70
D. 5/4 and 4/5

Answers

Answer:

Option (A)

Step-by-step explanation:

Like fractions possess a shared denominator while not necessarily having identical numerical values. To determine which pair of numbers contains like fractions, we need to analyze each pair of fractions and see if they have the same denominator. Let's examine each pair:

Option (A) 1/2 and 3/2:

These fractions are like fractions because their denominators are the same value.

Option (B) 4/8 and 12/16:

These fractions are not like fractions because their denominators are not the same value.

Option (C) 6/7 and 60/70:

These fractions are not like fractions because their denominators are not the same value.

Option (D) 5/4 and 4/5:

These fractions are not like fractions because their denominators are not the same value.

The pair of numbers that contains like fractions is A. 1/2 and 3/2.

Please help!!
Mrs. Peterson makes ceramic figurines. She recently made 25 figurines. Of those figurines, 16 are animals. What percent of the figurines are NOT animals?

Answers

Answer:

Depends on how many digits the question wants. If rounded, 38%. Or just 37%

Step-by-step explanation:

She made 25 in all.

16 of them are animal figures. The question is asking what percent is NOT animal figure, so we need to subtract 25 by 16. That gives us 9. To find the percent, we need to divide 9 by the whole, which is 24. 9/24=0.375

The answer is 37% or 37.5% (It depends on how many digits the question is asking for. Also try rounding (38%).

Answer:

B-

Step-by-step explanation:

Bacon egg and cheeseeeeeeee

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

please help will mark brainliiest only if corrrect

please help will mark brainliiest only if corrrect

Answers

A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation. An equation that can be used to represent the image is 6t=9.

What is a tape diagram?

A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation of ratios, addition, subtraction, and, most typically, multiplication.

In the given tap diagram, the upper tape contains 6 tapes of length t, while the lower tape contains only one tap of length g.

Now, since the length of the two tapes, the upper one and the lower one are equal. Therefore, the equation to represent the image can be written as,

t + t + t + t + t + t = 9

6t = 9

If the equation is simplified further, it can be written as,

t = 9/6

t = 3

Hence, an equation that can be used to represent the image is 6t=9.

Learn more about Tape Diagram here:

https://brainly.com/question/22565765

#SPJ1

Which value is the solution for this equation2
2(a + 3) -4

Answers

Answer:

a=-1

Step-by-step explanation:

2(a+3) -4

you bring it to the other side

2a + 6-4 so 2a+ 2

2a =-2

a =-1

(a) It takes 36 pounds of seed to completely plant a 6-acre field. How many pounds of seed are needed per acre? ​

Answers

Answer:

6

Step-by-step explanation:

The answer would be 6 since it would take 36 pounds of seed to plant a 6 acre field. That means you would need 6 pounds of seed for each acre since 36 ÷ 6 = 6

Graph the line that has a slope of 5 and includes the point (1,5)

Answers

Answer:

y = 5x - 10

Step-by-step explanation:

We are given the slope but not the y intercept. This means we have to find an alternate way to find the y intercept. We can use point slope form \((y-y1) =m(x-x1)\) and then solve for y to convert the equation into slope intercept form \(y=mx+b\)

\((y-5)=5(x-1)\)

Distribute the 5

\((y-5)=5x-5\)

Add 5 on both sides

\(y=5x-10\)

A cook has 5 and 5/8 cups of flour he uses 2/3 on Saturday morning how much flour does he use in saturday morning

Answers

Answer:

2/3

this question doesn't make sense

Find the least common denominator for these fractions. Enter your answer in
the space provided.

Find the least common denominator for these fractions. Enter your answer inthe space provided.

Answers

Answer:

10

Step-by-step explanation:

"Least" means smallest.

"Common" means same.

"Denominator " means the bottom number in a fraction.

Something/2 can be changed to something/10

AND something/5 can also be changed to

something/10

1/2 >>>> 5/10

3/5 >>>> 6/10

10 is the least common denominator.

Write an equivalent expression 2x + 10

Answers

Answer: 2 (x+5)

Step-by-step explanation:

Answer:

x+5

Step-by-step explanation:

Kareem's rectangular flower bed measures 3ft long and 2ft wide. He wants to cover the flower bed in mulch. He knows the area each bag of mulch covers, but only in square centimeters

Answers

Hey buddy I am here to help!

Area of flower bed = 3 x 2 = 6ft

1 ft = 30.48cm

6 x 30.48 = 182.88cm2

5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 and
m/AED=5x+1.
Find the measure of ZDEB. Show how you found your answer.

Answers

Based on the information in the triangle, the measure of ZDEB is 54°.

How to calculate the value

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

Learn more about triangles on

https://brainly.com/question/17335144

#SPJ1

5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 andm/AED=5x+1.Find the


Use a real number line to define la.
Choose the correct answer below.
OA. |a| = -a for any real number a.
B. The midpoint of the origin and a is la for any real number a.
OC. The distance from the origin to a is la for any real number a.
D. The distance from a to a is |a| for any real number a.

Answers

A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

What is a number line?

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.

Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.

Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

Learn more about the Number line:

https://brainly.com/question/557284

#SPJ1

I need help with the second part

I need help with the second part

Answers

The probability that each bill is a $1 bill is given as follows:

1/16.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.


The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.

Hence the probability that each bill is a $1 bill is obtained as follows:

p = 1/4 x 1/4

p = 1/16.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″?



A)


A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4)


B)


A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1)


C)


A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)


D)


A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4)

Answers

Answer:

c

Step-by-step explanation:

The coordinates of rectangle A″B″C″D″, A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

ABCD is a rectangle.

ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin.

Translating means equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally.

The coordinates of rectangle after translations are A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

Hence the coordinates of rectangle A″B″C″D″, A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

To learn more on Graphs click:

https://brainly.com/question/17267403

#SPJ5

Which of the expressions below has a 5 in the thousandths place of the sum? Select all that apply.

A) 4.328 + 19.237
B) 4.324 + 5.687
C) 4.322 + 3.013
D) 2.043 + 3.046

Answers

Im not 100% sure but I think it’s B

Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4

Answers

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

What is inverse of a function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

Learn more on inverse of a function here;

https://brainly.com/question/14391067

#SPJ1

Select the correct answer. Consider this function. Which graph represents the inverse of function f?

A baseball player had batting average of 0.298 what the probability of him getting exactly 4 out of 10 times he was up at bat

Answers

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

For more such questions on probability

https://brainly.com/question/1834572

#SPJ8

who said let me in let me in plz it's been i said 2 minutes it been 2 minutes

Answers

Answer:

me

Step-by-step explanation:

Other Questions
3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then rewrite it in the slope-intercept form. An automaker produces goods while a television repairman serves people.TrueFalse a nurse is administering ciprofloxacin iv. what should the nurse assess prior to administering the medication? HELP ASAP I will mark brainliest A. If you have a Periodic Table that is NOT color-coded describe where to look on the periodic table to to find elements which have similar chemical properties.B. Explain why they have similar chemical properties. C. Name three elements that have those similarities. (I need a written paragraph please) Please answer this question Scenario - AirportYour team is responsible for managing an airport of a big city which has been having problems and you have been tasked with improving it. You have been asked to focus on the Arrivals and Departures. All you know is that passengers are not happy with the service they receive and that, as a result, the airport has been receiving a lot of bad press and loses business. This is down to several reasons but long waiting times, cleanliness, and rudeness of staff are some of the ones that have frequently been quoted.Given the long-term implications of this, you are looking to take a strategic view before you proceed in making specific recommendations. So, you would like to explore how operations strategy can be developed in an airport situation.Your task, therefore, is to review how decisions made at the strategic level can affect how operations work and not to develop specific recommendations.Your role is Passenger liaison manager (the person that deals with customer complaints and is fully aware of the customer's needs)**Identify the structural and infrastructural decisionsExplain how they can affect performance, e.g. decisions on capacity. What are nongovernmental organizations quizlet? What IS feasible long vowel letters? which area receives the highest annual rainfall in america? Write the equation of an exponential function that passes through the points(1,12) and (3,108) What do all the following traits have in common human fingerprints, leopard sports, white shark markings Lewis and Clark left St. Louis in the spring of 1804. This marked the beginning of their journey into the unknown. Over the next two years, they would travel across the continent and back. They would hunt elk and battle grizzly bears. They would meet many of the native people living in the West.The men and their crew planned to travel up the Missouri River. When they reached its source, they would be in the Rocky Mountains. They planned to cross the mountains and head down the Columbia River. From there, they would reach their destination: the Pacific Ocean.The journey of Lewis and Clark was the most important journey of the time. It was also one of the most difficult and dangerous trips ever made. The land Lewis and Clark planned to travel through had only been seen by the Native Americans living there.The United States was a young nation when Lewis and Clark made their trip. It had recently gained a large area of land from France. At the time, all white Americans lived in the eastern part of the country. The new land lay to the west. No one knew exactly what it was like or what could be found there. President Jefferson hoped Lewis and Clark could change that.Select the correct answer.Why did Lewis and Clark travel across the continent?A. It was faster than sailing around itB. To get supplies from the Pacific OceanC. To explore and map unknown land a company making tires for bikes is concerned about the exact width of its cyclocross tires. the company has a lower specification limit of 22.5 millimeters and an upper specification limit of 22.7 millimeters. the standard deviation is 0.15 millimeters and the mean is 22.6 millimeters. what is the process capability index for the process? In the table, identify four to five details that reflect the most important parts of the excerpt from rogue heart. then paraphrase these details in your own words. the tomb of pu-abi exemplifies what about ancient civilizations: The distinguishing feature of the ________ strategy is the extensive focus on product offerings, customization, and marketing strategy to match local markets. The parallelogram shown below has an area of 30 units2.5hFind the missing height.h =units Complete the following statement so that the original data is assigned to the new database cell array. Incorporate original data in new database studentDataMeta( _______) studentData; Calculate the slope of the line. Explain your reasoning.