One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.

Together, the boxes weigh 48 pounds.

If w represents the weight of the first box placed on the scale, write a problem ?

Answers

Answer 1

Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.

The second box weigh 10 pounds less than the first box. Hence:

y = w - 10

-w + y = -10     (1)

The two boxes weigh 48 pounds. hence:

w + y = 48       (2)

Solving both equations gives:

w = 29, y = 19

The first box weighs 29 pounds while the second box weighs 19 pounds.

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Related Questions

Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finished a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?

Answers

Answer:

Step-by-step explanation:

Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining

substract the science problems from the total 43-3=40

And now we can determine the amount of math problems

4/5 = 40/x where x is the total amount of math problems Ivan was assigned

cross multiply

4x = 5*40

4x=200

isolate the variable

4x/4 = 200/4

x=50

So Ivan was assigned a total of 50 math problems

(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation

Hope this helps!

what is -18 1/2 plus 27 3/5?

Answers

Step-by-step explanation:

so if I did it wrong

Please help! ):

For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).

Answers

Answer:

(g°f)(x) = 54x^2 - 144x + 101

Step-by-step explanation:

(g°f)(x)= g(f(x)) = g(3x-4) = 6(9x^2 - 24x + 16)+5 = 54x^2 - 144x + 101

Graph the line with slope -3 and y-Intercept -1

I need a line

Answers

y = mx + b where m is the slope and b is y intercept

Slope is also rise/run.

I NEED HELP AS SOON AS POSSIBLE Which of the following describes the location of the opposite of the number that R represents on this line? vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed on the 2nd tick mark below the 0. At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 2 tick marks below 0 At a distance of 2 tick marks above 0

Answers

Answer:

At a distance of 4 tick marks above 0

Step-by-step explanation:

what number x 9 is 57

Answers

6×9=57

Step-by-step explanation:

get a multiplication chart and find the answer

Answer:

6.33

Step-by-step explanation:

6.33 x 9 = ~57

the quick brown fox jumped over the lazy dog.

how can i solve this

Answers

Answer: Ill show you some not everything so u can try

Step-by-step explanation: for example 8+y=92

you can make a new problem...

move the 92...

92

subtract

92-

subtract the other number which isnt the variable

92-8

subtract and you get your answer!

Step-by-step explanation:

an equation means that whatever is on one side of the "=" sign is truly equal to whatever is on the other side.

it is like a balance.

you can change the content on one side of the balance, but then you have to make the same change on the other side of the balance. otherwise the balanced relation between both sides is destroyed. and it is no longer an equation.

for the same reason, you can perform any mathematical operation on an equation, as long as you do it simultaneously on both sides.

all these equations are equations with one variable.

so, if we find a way to bring all terms with the variable to one side, and everything else (typically constant numbers) to the other side, while still maintaining the equation relation, then we can solve this by saying "this is only an equation, if the variable has this is that value".

and that is the whole trick.

so, for e.g. t + 3 = 5, how can we get only the variable on one side ? well, the "+ 3" is disturbing, so we subtract 3.

and to keep the balance, we need to subtract 3 on both sides.

that gives us then

t + 3 - 3 = 5 - 3

t = 2

and boom ! the equation has solved itself right in front of our eyes.

and the same thing for all the other equations.

find what is the disturbing additional term on the side of the variable, then get rid of it (and repeat that exact action on the other side) and see what is left on the other side. and you have solved the equation.

that works in every direction like

n + 22 = 5

n + 22 - 22 = 5 - 22

n = -17

12.5 = 7.4 + z

12.5 - 7.4 = 7.4 - 7.4 + z

5.1 = z or

z = 5.1

remember, it is an equation like a balance. you can switch the balance bowls from left to right and right to left, and still they are in balance.

The difference between two times a number and eight is twenty two. What is twice the number?

Answers

Answer: 30

Step-by-step explanation:

2x -8 = 22

2x = 22 + 8

2x = 30

Divide both sides by 2

X = 15

Twice of x

2 x X = 2 x 15 = 30

Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes

Answers

Answer:

"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

b. po

If they work together, they need 47 minutes to dig the trench.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.

Marty can dig a 10 ft trench in 90 minutes, and in one minute

10 ft = 90

1 ft = 90/10

1ft = 9 minuted

If Chris can dig a 10 ft trench in 110 minutes, and in one minute

10 ft = 100 minute

1 ft = 100/10

1 ft = 10 minute

If they worked together x minute needed to dig 1 ft,

1/x =1/9+1/10

1/x=1/9+1/10

1=19/90 x

90x=19

x=90/19

x=4.7 minute

For 10 feet,

x = 47 minute

Thus, if they work together, they need 47 minutes to dig the trench.

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In parallelogram HIJK, the measure of angle H is 45∘.

Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.

Answers

Answer:

The angle diagonal to angle H = 45

The other two angles equal 135

Step-by-step explanation:

A line equals 180. So 45+135 = 180

I'm sorry that I couldn't list names of the angles. I would need a picture. I hope this made since and could help. God bless!

The measure of angle J is 45 degrees and The measure of angle K is also 45 degree. In a parallelogram, opposite angles are congruent, meaning they have the same measure.

Given that angle H measures 45 degrees, we can use this property to find the measures of angles J and K.

Measure of Angle J:

Since angle J is opposite to angle H in parallelogram HIJK, angle J will also measure 45 degrees. This is because opposite angles in a parallelogram are equal.

Measure of Angle K:

Similarly, angle K is opposite to angle I in parallelogram HIJK. Since the opposite angles are congruent, angle K will also have a measure of 45 degrees.

In summary, the measure of angle J in parallelogram HIJK is 45 degrees, and the measure of angle K is also 45 degrees. This is a property of parallelograms where opposite angles are congruent.

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If 43 liters of water are enough to water 25 of the plants in the house, how much water is necessary to water all the plants in the house? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.

Answers

If you meant 25% of the plants in the house, so that could also be shown as 1/4 or a quarter of the plants in the house so that means that four times 43 litres would be needed to water four times these plants.

4 x 43 = 172L

Your answer is 172 litres :)

(If you meant 25 plants I would be able to help you if you could tell me how many plants were in the house altogether)

Find Algebraically, the coordinates of P.

Answers

Answer:

x =2.5 and y=5.5

Step-by-step explanation:

using elimination method

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The point of intersection is (2.4, 5.5).

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 5 is an equation.

3x + 4y = 5 is an equation.

We have,

Two equations.

3x - y = 2 ____(1)

x + 3y = 19 _____(2)

The point of intersection can be calculated as,

From (1) we get,

3x = 2 + y

x = (2 + y) / 3 _____(3)

From (2) we get,

x = 19 - 3y ______(4)

From (3) and (4) we get,

(2 + y)/3 = 19 - 3y

2 + y = 57 - 9y

y + 9y = 57 - 2

10y = 55

y = 55/10

y = 5.5

Now,

From (3) we get,

x = 19 - 3y

x = 19 - 3 x 5.5

x = 19 - 16.6

x = 2.4

Thus,

The point of intersection is (2.4, 5.5).

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write a function g whose graph represents the indicated transformation of the graph of f. f(x)=|x+1|-3; horizontal stretch by a factor of 9.​

Answers

Answer:

f(x) = |[tex]\frac{1}{9}[/tex](x+1)|-3

Step-by-step explanation:

The value representing the horizontal scaling must be placed inside the absolute value, and we need to put () around x - 1 to change the horizontal shift as well. And remember that we must use the reciprocal in the function, so instead of writing y = |9(x+1)|-3, we need to write y = |[tex]\frac{1}{9}[/tex](x+1)|-3.

haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho

Answers

Answer:

Good Luck - You can do it!!!!!!!

Step-by-step explanation:

I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!

Answer:

Sorry about that

Step-by-step explanation:

I hope you finished it all

Fill in the blank.

The

is the intersection of the three medians in a triangle.

O centroid

O incenter

O orthocenter

O circumcenter

Answers

O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

help ? yes ? no ? maybe

Answers

This is a maybe help m friend.
The cost are proportional but i will never graph that for you!!! ψ(`∇´)ψ

Classify the following polynomial by degree and the number of terms.
3x² - 7

Answers

Answer:

A.) Quadratic binomial

Step-by-step explanation:

The degree of 2 (x²) makes the polynomial quadratic. It is binomial because it contains 2 terms.

The polynomial is:

↬ quadratic binomial

Solution:

We classify polynomials based on the number of terms and the degree,

No. of Terms

monomial - 1 term

binomial - 2 terms

trinomial - 3 terms

polynomial - 4 terms or more

Degree (highest exponent)

first

second (quadratic)

third (cubic)

fourth (quartic)

and so on.

[tex]\pmb{3x^2-7}[/tex] has 2 terms. Its highest exponent is 2, so clearly, we have a quadratic binomial.

Hence, 3x² - 7 is a quadratic binomial.

graph the following features: slope= -3/2 y intercept = 2

Answers

Using the given information the equation of the line is y = -3/2x + 2

Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:

Using X = 0:

y = -3/2(0) + 2, y = 2

First point is (0,2)

Now X = 4:

y = -3/2(4) + 2 = -6 + 2 = -4

Second point = (4,-4)

See attached image with plotted line:

easy one - giving brainly if correct - show work.​

Answers

Answer:

51,000

Step-by-step explanation:

50,000

20% raise is

50,000 + 50,000 * 20/100

= 50,000 + 10,000

= 60,000

15% tax is

60,000 * 15/100

= 9000

so total money is 60000 - 9000

= 51000

A survey was given to a random sample of 80 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 40 respondents said they were in favor of the plan.

Answers

Answer:

sorry i dont quite understand your question .

Ratio would be 1/2 or 50:100 in terms to 40:80

Step-by-step explanation:

if this was more or less of a GOVT question for history or law class then the answer would be " If no candidate for president receives an absolute majority of the electoral votes, pursuant to the 12th Amendment, the House of Representatives is required to go into session immediately to choose a president from among the three candidates who received the most electoral votes. "

Rewrite the following equation in slope-intercept form. 20x − 11y = –17

Answers

Answer:

y = 20/11x +17/11

Step-by-step explanation:

Slope-intercept for: y=mx+b

20x -11y = -17

-11y = -20x -17           Subtract 20x on both sides

y = 20/11x + 17/11        Divide both sides by -11

If Susan can type 72 words per minute, how long will it take her to type her 360 word essay?

Answers

34 words in 1 minute

# words in 5.5 minutes

Cross multiply.

34/1=#/5.5

1(#)= 34(5.5)

#= 187

Answer:

5 minutes

Step-by-step explanation:

72/1 = 360/5

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

encuentra el termino indicado de cada sucesion aritmetica #12avo termino de 2,4,6. #10mo termino de 1,-1-5. #8vo termino de -1,1,3​

Answers

Step-by-step explanation:

hope it will helps you my answer

How to calculate the median of a large data set.

Answers

Answer:

The first is organize your data set and after that determinate if the length (the total data) is odd or even dependent of that find the middle value. This is the traditional algorithm for find the median of whatever data set.

Step-by-step explanation:

Organize the data set (ascending or descending order)Determine if the total number of data is odd or evenif is odd use the next formula for find the middle value [tex]X[\frac{n}{2} ][/tex] where [tex]X[/tex] is the data set and [tex]n[/tex] the number of data.if is even use the next formula for find the middle value [tex]\frac{X[\frac{n-1}{2}] + X[\frac{n+1}{2}] }{2}[/tex] in this case you take both middle values and get it's mean.

plz help for brainliest

Answers

Answer:

Yes it is an isosceles triangle

Step-by-step explanation:

We just need to see if the distance between two points is the same as the distance with two others

Distance between AB = (4 -(-1))² + (7 - 2)² = c²

                                        5² + 5² = c²

                                        25 + 25 = c²

                                        c = √50

Distance between AC = (11-(-1))² + (8 - 2)² = c²

                                        12² + 6² = c²

                                        144 + 36 = c²

                                        180 = c²

                                        c = √180

Distance between CB = (11-4)² + (8 - 7)² = c²

                                        7² + 1² = c²

                                        49 + 1 = c²

                                        50 = c²

                                        c = √50

Hence, this is an isosceles triangle because AB and CB are congruent in length.

-Chetan K

We need to verify if any of two sides are equal then it is an isosceles triangle.

Refer to the attachment now

80 POINTS!!! HELP ASAP!!!!

Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.

g(x) = f(x − 3) + 4

A.
The graph of function f is shifted right 3 units and down 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted left 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and up 4 units.

Answers

Answer:

its c

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation: shifted right 3 units and up 4 units.

pleaseeeeeeee HELPPPPPPP




A park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

3/2 miles, or 1 1/2 miles

Step-by-step explanation:

Area = Length times Width

So Width is Area / Length

Calculate the problem, (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Answer:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

PLZZ MARK BRAINLY

What equation is graphed in this figure?
O 2x+y=-3
O 20y=-3
O 2x+y=3
O 2x -y=3

Answers

Answer: 2x-y=3

Step-by-step explanation:

Rewrite 2x-y=3 in standard form:  y = 2x -3

The line on the graph has a y-intercept of -3, as does this equation.  We can also see a slope of 2 (y goes up by 2 for every time x increase by 1).

pls help asap! i will mark brainliest!

Answers

Answer:

AB would be 18 or the first choice.

Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.

x + 8 = 2x - 17

  + 17       +17

x + 25 = 2x

-x            -x

    25 = x

This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.

Step-by-step explanation:

hope this helps. . . <3

good luck!      uωu

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Fact: By 1860 the Upper South still produced tobacco, hemp, wheat, and vegetables. Comparison or Contrast: _______________________5. Fact: In the industrial North, large numbers of people moved to the cities to be near factories and work. Comparison or Contrast: __________________________6. Fact: In the 1840s and 1850s, the North experienced a railroad boom that connected cities from the Northeast to the Midwest. Comparison or Contrast: __________________________Fact BankA. In the 1800s, with the use of a cotton gin, a worker could clean 50 pounds of cotton a day.B. The South remained overwhelmingly rural with only a small percentage of the nations industry.C. In the mid-1800s, cotton became the Souths leading cash crop.D. Southern rail lines were short, local, and did not connect all parts of the region in a network.E. At the same time, the Deep South was committed to cotton, and in some areas, rice and sugarcane.F. 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