Two numbers have a sum of 24 and a difference of 5. Use and algebraic method to find the two numbers.

Answers

Answer 1

Step-by-step explanation:

x, y are the 2 numbers

x + y = 24

x - y = 5

x = y + 5

and that in the first equation

y + 5 + y = 24

2y = 19

y = 9.5

x = y + 5 = 9.5 + 5 = 14.5

the 2 numbers are 9.5 and 14.5.


Related Questions

A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km

Answers

Step-by-step explanation:

altitude here is represent by height ok in this case...

if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...

and the information from the question just sun it into the tan formula...this is trigo...

then u add the value to get the total distance..

the answer is 13.87km

hope u understand...

Which equation is the inverse of y = x2 +4?
y =-VI- 4
b. y = x-4
a
Cy=Vx+4
d. y= -x - 4
Anyone know the answer

Answers

Answer:

B. [tex]y=\pm\sqrt{x-4}[/tex]

Step-by-step explanation:

Swap the positions of the x and y variables then solve for y again.

[tex]y=x^2+4\\\\x=y^2+4\\\\x-4=y^2+4-4\\\\x-4=y^2\\\\\sqrt{x-4}=\sqrt{y^2}\\\\\pm\sqrt{x-4}=y[/tex]

Which of the following equations is steeper?
y=-2x+1
y=-5/4x+7
y=x-1
y=5x-1

Answers

Answer:

Option 4: y = 5x - 1

Step-by-step explanation:

The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.

Generally speaking, slopes with higher values tend to have steeper lines.

Compare the slopes:

In comparing the slopes of the given options:

Option 1: slope = -2

Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25

Option 3: slope = 1

Option 4: slope = 5

 

Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.  

Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.    

Help last day !!!!!!!!!!!!!!!

Answers

Answer:

The equation of the lines with the given point does not have a y-intercept of 4 but has a y-intercept of -4.

Step-by-step explanation:

y-intercept is 4

addition ordered pairs on the line are (2, -2), (4, 0), (6, 2), (8, 4)

Find the slope using two of the points: (2, -2), (4, 0).

Slope = (change in the y values)/(change in the x values0

Slope = [0 -(-2)]/ (4 - 2) =   2/ 2 = 1

Checking to see if the y-intercept is 4 substituting  slope (m) = 1 and (2, - 2)

      y = mx + b

     -2 = 1(2) + b

     -2 = 2 + b

  -2 - 2 = b

    -4 = b   so we know that the y-intercept is not 4 but it is -4.

Now write the equation of the line using a slope = 1 and y-intercept of -4

y = mx + b

y = x - 4

Next check the other points into the equation of the line to see if the equation is correct.

x = 2   did y = -2 ?    y = x - 4;   y = 2 - 4 ; y = -2     point (2, -2) works.

x  = 4   did y = 0?     y = x - 4;  y = 4 - 4;  y = 0       point (4,0)  works.

x = 6    did y = 2?     y = x - 4;  y = 6 - 4; y = 2         point (6, 2) works.

x = 8     did y = 4?     y = x - 4; y = 8 - 4;  y = 4        point (8, 4) works.

PLEASE HURRY ‼️
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not
replacing it, and then choosing a red marble?

1/16

1/12

1/4

1/2

Answers

Answer:

1/12

Step-by-step explanation:

this is the correct answer

The area of a rectangle is 60 square inches.

The length is x – 3, and the width is x + 8.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

X=7 because 7-3 = 4, 7+8= 15,15x4=60.

if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoins

Answers

164-73=18%
136-284=37
136%

find the slope and y interceptof y=10x -1/3
with steps ( quick )​

Answers

Answer:

slope = 10 , y- intercept = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - [tex]\frac{1}{3}[/tex] ← is in slope- intercept form

with slope m = 10 and y- intercept c = - [tex]\frac{1}{3}[/tex]

Can you help me on this math questions. Correctly thanks.

Answers

1.

In this equation, 2x + 6 has to be greater than or equal to y. You must substitute each coordinate into the equation and evaluate to find the correct answer. In this case, the answers are (-10, -20) and (7, 14).

2.

Same goes for this problem. The answers are (11, -32) and (-6, -2).

3.

Since we are given the line equation, we just determine the operator to use. Because it is a dotted line, that means that the point on the line is not included, so we will use a regular <>. Because the space highlighted indicates that -10x - 6 will always be greater than y, the answer is y < -10x-6, or C.

4.

We are given the line equation here as well. Since the boundary line is not dotted, we include the values, meaning we use [tex]\leq \geq[/tex]. Since the highlighted space indicates that y is always greater than or equal to x-5, the answer is [tex]y\geq x-5[/tex], so the answer is B.

A family needs to build fencing around their rectangular home and square swimming pool, depicted below

Answers

Answer:

160

Step-by-step explanation:

Sam earns $.75 for each call he makes for a telemarketing service. He hopes to make at least $100 each day. Write an inequality to represents the number of calls he must make each day. (Let c equal the number of calls. )

Answers

0.75c < or equal to 100

i need help on this pls

Answers

Answer:

the answer is 15 bc 30-15=15

Step-by-step explanation:

Answer:11?

Step-by-step explanation:30 buldogs

                                             pirates 10 plus star 9 19 in 30 wwhats left

what is 67.18 - 82 equal

Answers

Answer:

i wish i could tell you but i suggest that you use a calculator to find your answer.

Step-by-step explanation:

i really hope this helps you!

Answer:

-14.82

Step-by-step explanation:

what type of sequence is 1,215,405,135,45...?
I need an explanation to this question. ​

Answers

Answer:

Decreasing Geometric Sequence

Step-by-step explanation:

A geometric sequence is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed value. Here, we can multiply by 1/3 each time to get the next number, and out sequence is decreasing, so we have a DGS

Let's divide terms

[tex]\\ \sf\longmapsto r=\dfrac{405}{1215}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{135}{405}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{45}{135}=\dfrac{1}{3}[/tex]

It's a decreasing Geometric sequence

I’ll mark the brainiest

Answers

Answer: 122°

Step-by-step explanation:

Because angles on a straight line are supplementary (add up to 180°), then:

m∠2 = 180° - 58°

        = 122°

122
Supplementary angles
180-58=122

Jessica had 289 dollars to spend on 7 books. After
buying them she had 16 dollars. How much did each book cost?

Answers

Answer:

39

Step-by-step explanation:

289-16= 273

273/7= 39

Hope this helps! :)

Answer:

$39

Step-by-step explanation:

let b = cost of each book

289 - 7b = 16

-7b = -273

b = 39

show your work
2x+y=-4;5x+3y=-6

Answers

Answer:

x = -6

y = 8

Step-by-step explanation:

Using substitution method.

2x + y = -4 -----------(I)

      y = - 4 - 2x -----------(II)

5x + 3y = -6 -------------------(III)

Substitute y = -4 -2x in equation (III)

5x + 3(-4-2x) = - 6

5x - 12  - 6x = -6

5x - 6x - 12 = -6

Combine like terms

    -x - 12     = -6   {Add 12 to both sides}

              -x = -6 + 12

              -x = 6              {Multiply by (-1)}

               x = -6

Substitute x = -6 in equation (II)

y = - 4 - 2*(-6)

  = -4 + 12

y = 8

5/12 divided by 3 in fractions

Answers

Answer:

5/36

Step-by-step explanation:

First you need to find the "reciprocal" (the opposite, so the numbers switched around) of the second number, which is 3. In turn, the 3 would become 1/3. Then just multiply the two fractions which is 5/12 x 1/3 = 5/36.

Answer:

5/12 ÷3

Reciprocate

5/12× 1/3

=5/36

The distance from the post office to a supermarket is 0.5 km. What is the distance in meters?
Enter your answer in the space provided.

The distance from the post office to the supermarket is
meters.

Answers

Answer:

The answer is 500 meters

Step-by-step explanation:

I got it right

Please mark me as brainly!

Please leave a 5 star review

Have a good dat!

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algebra 2 is really difficult please help me no bogus answers please

Answers

#1

Discount is 40%=0.04x

So the function is

e(s(x))=0.04x

#2

[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]

[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]

[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]

[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]

Sofi stores water for her turtle tank in a container with a maximum
capacity of 64 ounces. The container is filled with 4 8 ounces less than
its maximum capacity
PART A
PARTE
Sofi accidentally spills 5% of the container's Sofi needs to add 16 ounces of water to
maximum capacity on the counter. To what her turtle tank. What percentage of the
percent of its capacity is the container
remaining water in the container does she
now filled?
need to use? Explain.
67.5%
12.5%
87 99
95%

Answers

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

64 = 100 (64 - 4.8) - (64 x 0.05) = X 64 = 100 56 = X 56 x 100/64 = X 87.5 = X

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

56 = 100 16 = X 16 x 100/56 = X 28.57 = X

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Learn more in https://brainly.com/question/17592236

Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

Find the average rate of change of k(x) = 3x between x = 4 and x = 4 + h, where h 0.
Simplify your answer. Your answer may be a number or an expression in terms of h.

Answers

Answer:

Step-by-step explanation:

8

The average rate of change of the function on [0,4] is 8.

which points of concurrency are always inside the triangle?

Answers

Answer: The centroid is the point of concurrency of the three medians in a triangle. It is the center of mass (center of gravity) and therefore is always located within the triangle.

Perpendicular bisectors: acute/right/obtuse …… ...

Construction: Location of Point of Concurrency

Explanation: The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the Centroid and Incenter is always located inside the triangle.

Centroid: where the medians intersect.

Incenter: where the angle bisectors intersect.

Step-by-step explanation. Hope this helps lol!

Write the equation of the line in slope-intercept form.




The equation of the line in slope-intercept form is

Answers

Y=50x + 40

50x is your slope

40 is your intercept value

Complete the table using the equation y = 8x + 8 ( helppp plsss)

Answers

Answer:

-5 , 3 , 11 , 19 , 27

Step-by-step explanation:

typing bc I need to have 20 letters

i need help please ill give u brainlist to who ever answer

Answers

They had 36 dollars

From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole

Answers

Answer:

4.75 feet

Step-by-step explanation:

Let the height of the flagpole be x

Sin 53 = x/12

x = 12 × Sin 53

x = 12 × 0.3959

x = 4.75 feet

Answer:

15.9

Step-by-step explanation:

The 12 ft is the adjacent side and you are trying to find the opposite side or the height of the flagpole. You use Tan. Lowercase x means multiply.

Tan 53 = X

             --------

               12

To get rid of the 12 multiply both sides of the equation by 12. so

Tan 53 x 12 = X/12 x 12

Tan 53 x 12= X

X= 15.9

I need help..............

Answers

Answer: Choice D

Explanation:

The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.

The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.

Please help due today

Answers

Answer:

Step-by-step explanation:

Each boundary line equation is of the form ...

  y = mx + b

the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.

  y ≤ 1/2x +2   ⇒   m = 1/2, b = 2

  y < -2x -3   ⇒   m = -2, b = -3

_____

The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.

The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.

The graph is shown in the attachment.

7. Which three lengths could be the lengths of the sides of a triangle
O 11 cm, 11 cm, 24 cm
O 18 cm, 12 cm, 9 cm
O9 cm,
19 cm,
10 cm
O4 cm, 7 cm, 23 cm

Answers

The sum of the lengths of two sides of a triangle cannot be less than the length of the third side.

So,

3.9cm, 19cm, 10cm

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