The sum of two numbers is 47 and the difference is 9 what are the numbers ?

Answers

Answer 1

The numbers are 19 and 28.

Answer 2

Answer:

28 and 19

Step-by-step explanation:

let the 2 numbers be x and y, x > y, then

x + y = 47 → (1) ← sum of numbers

x - y = 9 → (2) ← difference of numbers

Adding the 2 equations to eliminate y

2x = 56 ( divide both sides by 2 )

x = 28

substitute x = 28 into (1) and solve for y

28 + y = 47 ( subtract 28 from both sides )

y = 47 - 28 = 19

The 2 numbers are 28 and 19


Related Questions



If m > n, which inequalities must be true? Check all that apply.

m + 2.1 > n + 2.1

m - (-4) > n -(-4)

m + 3 > n - 3

16.5 + m > 16.5 + n

m > n + 1/2

9 + m > 6 + n
Will give a rank if can be answered in 5 min

Answers

Answer:

It's A B and D, the brainliest is incorrect.

Step-by-step explanation:

Final answer:

If m is greater than n, then all the provided inequalities must be true, as they involve either adding the same amount to both sides or increasing the positive difference between m and n.

Explanation:

If m > n, then certain inequalities must hold true when we add, subtract, or compare these variables while keeping the inequality relationship consistent. Here are the inequalities that must be true based on the given condition:

m + 2.1 > n + 2.1: Adding the same number to both sides of an inequality does not change the relationship, thus this inequality must be true.

m - (-4) > n -(-4): Subtracting a negative is the same as adding a positive, so this inequality will also hold true.

m + 3 > n - 3: Adding a positive number to m and a negative to n will increase the difference between them, making this inequality true.

16.5 + m > 16.5 + n: Similar to the first point, adding the same number to both sides of an inequality maintains the inequality.

m > n + 1/2: Since m is greater than n, adding a positive fraction to n would still keep m greater than the modified n.

9 + m  > 6 + n: Adding different numbers to m and n still preserves the inequality, if the number added to m is not smaller than the number added to n.

PLEASE HELP QUICK??!!!
Jordan is saving for a new laptop that costs $325. He uses the equation and table below to show the number of months he has been saving, m, and the total amount he has saved so far, d.
d=80+75m
Which is the first month in which Jordan will have saved enough money to buy the laptop?
Month 2
Month 3
Month 4
Month 5

Answers

Answer:

Month 4

Step-by-step explanation:

Given : Jordan is saving for a new laptop that costs $325.

            Equation: d=80+75m

To Find: Which is the first month in which Jordan will have saved enough money to buy the laptop?

Solution:

Equation: [tex]d=80+75m[/tex]

where d is the total amount he has saved so far.

m shows the number of months he has been saving.

Now we are given that he needs to save $325.

So, To find the first month in which Jordan will have saved enough money to buy the laptop

Substitute d = 325 in the equation:

[tex]325=80+75m[/tex]

[tex]245=75m[/tex]

[tex]\frac{245}{75}=m[/tex]

[tex]3.266=m[/tex]

Thus,the first month in which Jordan will have saved enough money to buy the laptop is Month 4.

Answer:

Month 4 or C

Step-by-step explanation:

PogChamp

Solve the system of linear equations by elimination.

4x+3y= -5
-x+3y= -10

Answers


[tex]4x + 3y = - 5 \\ x - 3y = 10 \\ \\ 5x = 5 \\ x = 1 \\ \\ 4 + 3y = - 5 \\ \: \: 3y = - 9 \\ y = - 3 \\ \\ (1 \: - 3)[/tex]

The solution of given system of linear equations are x = 1 and y = -3.

Given system of linear equations are,

                                       [tex]4x+3y=-5 ..........(1)\\\\ -x+3y=-10..............(2)[/tex]

Subtract equation 2 from equation 1.

            [tex]4x+3y-(-x+3y)=-5+10\\ \\ 4x+3y+x-3y=5\\ \\ 5x=5\\ \\ x=5/5=1[/tex]

Substituting value of x in equation 1.

          [tex]4(1)+3y=-5\\ \\ 3y=-5-4=-9\\ \\ y=-9/3=-3[/tex]

Hence, The solution of given system of linear equations are x = 1 and y = -3.

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(20pts) Pls I need help with my hw​, pls show work

Answers

4. Just look at the graph, and see which coordinates are on the line.

D, E, and F are on the line.

5. The y-coordinate is (0,4), and the slope is (4 + 8)/(0 - 4) = -3. Therefore, the equation of the line is y = -3x + 4. Plugging in the numbers we know gives us b = -3*8 + 4. b = -20.

6. Find the number of times P is on a line. There are two lines that do so.

A bag contains 12 counters. 7 of them are white. A counter is taken at random and not replaced. A second counter is taken out of the bag at random. Calculate the probability that only one of the two counters is white​

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

First calculate how many counters are 'not white'

12 - 7 = 5

We have 5 counters that are 'not white'

The probability of taking a white counter the first time is 7/12

For the next pick, there would be 1 less of the total counters as it is not being replaced

The probability of then taking a 'not white' counter is 5/11

The other way you could still get one white counter is:

The first counter (non white) probability would be 5/12

The second counter (white) probability would be 7/11

Multiply these values:

7/12 x 5/11 = 35/132

5/12 x 7/11 = 35/132

Add these two values together:

35/132 + 35/132 = 70/132

Your answer is 70/132

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

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Frank left his house at 7 a.m. and drove to the airport at a speed of 50 mph. Lance left his house at 6 a.m. and drove to the same airport at a speed of 55 mph. Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport. At what time did Frank arrive at the airport?

Answers

Answer:

10:00 AM

Step-by-step explanation:

Frank drove at a speed of 50 mph, and traveled a distance of 150 miles.  This means he traveled for

150/50 = 3 hours.

7 AM + 3 hours = 10 AM

The solution is, at 10:00 AM Frank will arrive at the airport.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

given that,

Frank left his house at 7 a.m. and drove to the airport at a speed of 50 mph.

Lance left his house at 6 a.m. and drove to the same airport at a speed of 55 mph.

Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.

so, we get,

Frank drove at a speed of 50 mph,

and traveled a distance of 150 miles.  This means he traveled for

150/50 = 3 hours.

Thus, it takes Frank 3 hours to reach the airport.

so, we get,

since he departed at 7:00 AM, he will arrive at the airport at

7 AM + 3 hours = 10 AM

Hence, The solution is, at 10:00 AM Frank will arrive at the airport.

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What is the value of x?

Answers

Answer:

x = 12.8

Step-by-step explanation:

To find the value of x, set up a proportion between the two similar triangles. Then solve for x.

[tex]\frac{32}{32+x} = \frac{40}{56}[/tex]

Solve by cross multiplying and isolating x.

32(56) = 40(32+x)

1792 = 1280 + 40x

512 = 40x

12.8 = x

Which of the following equations represents the graph shown?

Answers

Answer:

[tex]y=\frac{3}{2}x[/tex]

Step-by-step explanation:

The given line passes through the origin.

Its equation is of the form;

[tex]y=mx[/tex]

where

[tex]m=\frac{3}{2}[/tex] is the slope of the line.

The required equation is

[tex]y=\frac{3}{2}x[/tex]

Answer:   [tex]f(x)=\dfrac{3}{2}x[/tex].

Step-by-step explanation:

Assume one block in the graph takes one value.

From the given graph, it can be seen that the line is passing through two points (0,0) and (2,3).

We know that the equation of a line passing through points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Then , the equation of a line passing through points (0,0) and (2,3) is given by :-

[tex](y-0)=\dfrac{3-0}{2-0}(x-0)\\\\\Rightarrow y=\dfrac{3}{2}x[/tex]

Hence, the equations represents the given graph [tex]f(x)=\dfrac{3}{2}x[/tex].

A rectangle has an area of 24 square centimeters. Select the three choices that show pairs of possible side lengths of the rectangle

Answers

Answer:
The first three options are the correct answers

Step-by-step-explanation:
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24

Answer:

A, B, and C

Step-by-step explanation:

We can use guess-and-check.

A rectangle with the area 24 cm² has the sides that make the product of 24  (A = l * w)

1 * 24 is 24.

2 * 12 is 24.

3 * 8 is 24.

4 * 20 is 80.

12 * 12 is 144.

Solve the system of linear equations below. x − 3y = -3 x + 3y = 9 A. x = -12, y = 7 B. x = 3, y = 2 C. x = 6, y = 1 D. x = 6, y = 2

Answers

ANSWER

B. x=3,y=2

EXPLANATION

The given equations are

[tex]x - 3y = - 3...(1)[/tex]

and

[tex]x + 3y = 9...(2)[/tex]

We add the two equations to eliminate y.

This implies that that:

[tex] x + x - 3y + 3y = 9 + - 3[/tex]

Simplify:

[tex]2x = 6[/tex]

Divide both sides by 2.

[tex]x = 3[/tex]

We put x=3 into any of the equations to find y.

Let us substitute x=3 into equation (1) to get:

[tex]3 - 3y = - 3[/tex]

[tex] - 3y = - 3 - 3[/tex]

[tex] - 3y = - 6[/tex]

Divide both sides by -3 to get;

[tex]y = 2[/tex]

The solution is therefore x=,y=2.

If you had 150 subjects to work on and had 28 Days How many per day do you need to do?

Answers

Divide the total subjects by total days:

150 / 28 = 5.357 per day. Round the answer as needed.

Answer: Approximately 5 subjects per days.

Step-by-step explanation:

To solve the exercise and calculate the number of subjects you need to do per day you must keep on mind the information given in the problem. You know that:

- The total number of subjects is 150.

- You had 28 days left.

Therefore, you need to divide 150 subjects by 28 days.

Then, you obtain the following result:

[tex]=\frac{150subjects}{28days}=5.35\frac{subjects}{day}[/tex]≈ 5 subjects per days.

Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. What fraction of the tomatoes did mrs Jenkins use to make the salad?

Answers

Answer:

Final answer is 1/3.

Step-by-step explanation:

Given that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

Since she used 5/9 of the tomatoes to make pasta sauce.

Then remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

Given that √x = -4, what is x?​

Answers

Square on both sides..

x=16 !!!

[tex] \sqrt{x} = - 4 \\ { \sqrt{x} }^{2} = {( - 4)}^{2} \\ x = 16 [/tex]

(-) +(-) =+

Which of the following numbers is irrational?​

Answers

Answer:

it is the 3rd choice

Step-by-step explanation:

3

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An irrational number cannot be written in the form of a fraction.

As you can see, the first two are already in fraction form, so it can't be those.

The square root of 4 is 2 which can be written as 2/1

This leaves the square root of 3, which is the answer.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

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What happens to the graph of y=|x| when the equation changes to y=|x+3| - 1

Answers

The entire line will go three to the left and one down.

The measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. Find the measures of all three angles.​

Answers

Hey there!

The interior angles of a triangle always have to add up to 180 degrees.

We are told that this is a right triangle, so one of the angles must be 90 degrees. This means that the measures of the other two angles must add up to 90.

90 + m<1 + m<2 = 180

If the smallest angle is 45 degrees less than the next largest angle, the only option for this would be for both of the remaining angles to be 45 degrees. The next largest angle would be the right angle, and 90 -  45 = 45.

We can't have any of the other angles be more than 90 degrees because then it wouldn't be a proper triangle.

So, the measures of the angles are going to be 90, 45, and 45.

Hope this helps!

The measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )

What is right angle triangle property?

In a right angle triangle, the largest angle is equal to the 90 degrees, and the some of the other two angle is equal to the 90 degrees.

Given information-

The smallest angle in a right triangle is 45° less than the measure of the larger angle.

Suppose the smallest angle of the right triangle is x degrees.

Now as the smallest angle in a right triangle is 45° less than the measure of the larger angle and the value of largest angle is 90 degrees in the right angle triangle. Thus,

[tex]x=90-45\\x=45^o[/tex]

Hence, the measurement of the smallest angle is 45 degrees.

Let the other angle of the right angle triangle is y degrees.

As the some of the all the angles of a triangle is equal the 180 degrees. Thus,

[tex]x+y+90=180\\45+y=180-90\\y=90-45\\y=45[/tex]

Thus, the measurement of the other angle is 45 degrees.

Hence, the measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )

Learn more about the right angle triangle property here;

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How many groups of 5 can u make out of 670

Answers

Answer:

134

Step-by-step explanation:

670/5 = 134

The answer is 130=5*130

A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path?

Answers

The length of the diagonal path is approximately 70.71 yards.

To find the length of the diagonal path that divides the square park in half, we can use the Pythagorean theorem. A square park of 50 yards on each side means we are dealing with a right-angled triangle with both legs equal to 50 yards.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):

[tex]c^2 = a^2 + b^2[/tex]

Here, both a and b are 50 yards, so the equation becomes:

[tex]c^2[/tex] = 502 + 502 = 2500 + 2500 = 5000

Now we find the square root of 5000 to get the length of the diagonal:

c = √5000 ≈ 70.71 yards

Therefore, the length of the diagonal path is approximately 70.71 yards.

All rectangles are parallelograms​

Answers

This is true. A rectangle is a quadrilateral with 4 right angles, meaning each pair of adjacent sides meet at a right angle. From the father of geometry himself:

“If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles.”

The other side to this, of course, is that if you have a line segment intersecting two straight lines, and you *do* get two interior right angles, those straight lines will never meet, which is exactly what it means to be parallel. If you pick any three line segments on a rectangle, you get exactly this behavior, meaning each pair of line segments on a rectangle is parallel.

So yes, a rectangle *is* a parallelogram.

how many different pairs can you make with four colors: red, blue, green purple?

Answers

Answer:

6

Step-by-step explanation:

            red                blue               green           purple

red                           red/blue        red/green   red/purple

blue     red/blue                           blue/green  blue/purple

green   red/green   blue/green                       green/purple

purple  red/ purple  purple blue purple/green

i did not include red/red since the question asks for DIFFERENT PAIRS. same with the combinations that are repeated

plz give me a brainliesttttttt

To find the number of different pairs that can be made with four colors, we use the combinations formula C(4, 2), which calculates to 6. Thus, there are 6 different color pairs that can be made with red, blue, green, and purple.

To determine how many different pairs can be made with four colors: red, blue, green, purple, we use the concept of combinations from mathematics. A combination is a selection of items where the order does not matter. In this case, we are selecting two colors from the four available to form a pair.

To calculate the number of combinations without repetition, we can use the combination formula which is [tex]C(n, k) = \frac{n! }{ (k!(n - k)!)}[/tex], where n is the total number of items to choose from, k is the number of items to choose, and '!' represents the factorial of a number. For this scenario, n = 4 (four colors) and k = 2 (since we are forming pairs).

So, the number of combinations is C(4, 2) = [tex]\frac{4! }{2!(4 - 2)!} = \frac{4 \times 3 \times 2 \times 1 }{ 2 \times 1 \times 2 \times 1}[/tex] = 6. Therefore, there are 6 different color pairs that can be made with the colors red, blue, green, and purple.

if a number is increased by 100%, how does the increased number compare with the original number? explain​

Answers

Through common sense a number is already at it’s 100%. And so by increasing The percentage of the number you are also increasing the number itself.

For example take the number 10. If you increase it by 20% you'll take 2 out of 10 and add it to original number which will result in 12, 20% more or 120% in total. And so if you apply the same situation but with a hundred percent, you will double the number and get a number of 20 or 200%. An increase of a 100% plus the original 100%. If this doesn't make sense however, I'm sorry as my "explaining" skills suck

Please help quickly, I don't understand.
Image attached

Answers

Answer:

ok so

Step-by-step explanation:

you basically hafta calulate funtion f w factor two

hope this helps!

I need to know how to find the mean for 77,82,87,85,32,78?

Answers

Answer:

73.5

Step-by-step explanation:

To find the mean, sum the data and divide by the amount of data

mean = [tex]\frac{77+82+87+85+32+78}{6}[/tex]

          = [tex]\frac{441}{6}[/tex] = 73.5

The answer is 73.5. Just add all the numbers and divided by how many numbers there are. So you would add all the numbers and then divided by 6 since there are 6 numbers.

What is the equation written in slope intercept

Answers

Answer:

[tex]\large\boxed{1.\ y=-\dfrac{3}{5}x+\dfrac{12}{5}}\\\boxed{2.\ y=\dfrac{5}{4}x-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

[tex]1.\\3x+5y=12\qquad\text{subtract 3x from both sides}\\\\5y=-3x+12\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{3}{5}x+\dfrac{12}{5}}\\\\2.\\5x-4y=6\qquad\text{subtract 5x from both sides}\\\\-4y=-5x+6\qquad\text{divide both sides by (-4)}\\\\y=\dfrac{5}{4}x-\dfrac{6}{4}\\\\\boxed{y=\dfrac{5}{4}x-\dfrac{3}{2}}[/tex]

A recipe calls for 3/4 cup of sugar for every 1 1/2 cups of flour. How much sugar would be needed if the baker uses 4 1/2 cups of flour?

Answers

Answer:

Step-by-step explanation:

Area of regular hexagon

Answers

Check the picture below.

let's recall that a circle has 360°, so that means every two radii coming from the center of the hexagon, will split those 360° in 6 even pieces, 360/6 = 60, namely those two radii make up a 60° central angle, as you see in the picture.

running a perpendicular from the center, we end up with a 30-60-90 triangle, as you see there, and thus we can use the 30-60-90 rule to get the length of "a".

now, keeping in mind that the perimeter of the polygon is simply 4+4+4+4+4+4 = 24.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}dp~~ \begin{cases} d=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ d=2\sqrt{3}\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(2\sqrt{3})(24)\implies A=24\sqrt{3}[/tex]

math help 20 points and brainliest
find the roots, and list the steps correctly
you need to show work and list the steps please
f(n)=n^2 -6n-16

Answers

ANSWER

[tex]n = 8 \: or \: n = - 2[/tex]

EXPLANATION

The given function is

[tex]f(n) = {n}^{2} - 6n - 16[/tex]

To find roots of the equation, we set the equation to zero.

[tex]{n}^{2} - 8n + 2n- 16 = 0[/tex]

Split the middle term with -8n+2n

We now factor to get,

[tex]n(n - 8) + 2(n- 8) = 0[/tex]

[tex](n - 8)(n + 2) = 0[/tex]

Using the zero product property,

[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]

[tex]n = 8 \: or \: n = - 2[/tex]

The sign below is located at the start of Pinecone trail and shows the distances from the sign to different points of interest along the trail. Sage hiked from the start of the trail to Lookout Point. She then hiked back to Giant Boulder to camp for the night. What was the total distance, in miles, that Sage hiked?

Answers

Answer:

Total distance = 53/4 miles = 13.25 miles

Step-by-step explanation:

Sage hiked from the start of the trail to Lookout Point.

Distance = 8 3/4 miles = 35/4 miles

She then hiked back to Giant Boulder

This means she traveled an additional

8 3/4 miles  - 4 1/4 miles = 35/4 mi - 17/4 mi = 18/4 mi = 9/2 mi

The total distance traveled by sage is the sum of both trajectories

Total distance = 35/4 miles + 9/2 miles =  53/4 miles

Total distance = 13.25 miles

If a figure is a square, then it is a regular quadrilateral. True or false? Explain.

Answers

Answer:

Yes, because a quadrilateral have four sided figure. So True.

Answer + Explanation:

True, because all quadrilaterals are four-sided figures. Squares have four equal sides, so they are regular quadrilaterals.

measure each rectangle to the nearest 1/4 in with your ruler and label the dimensions use the area model to find the area​

Answers

Answer:

can you attach a picture

Step-by-step explanation:

Do u have a picture so i could solve it

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