The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.

Answers

Answer 1

Answer:

Let x and y be the numbers, with x the larger one.

x - y = 5

2y = x + 18

Then solve this system of equations:

x - y = 5

x - 2y = -18

Subtract bottom equation from top equation and get

y = 23

So x = y + 5 = 23 + 5 = 28


Related Questions

Melissa makes necklaces and sells them online. She charges $88 per necklace. Her monthly expenses are $3745. How many necklaces must she sell if she wants to make a profit of at least $1,650?

Answers

Answer:

She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.

Consider the equation 12x - 15y = 70

Solve for x (in terms of y)

Solve for y (in terms of x)


PLEASE HELP MEEEE IM IN A TEST!

Answers

x = (15y+70) / 12

y = (12x-70) / 15

The graph of f(x) = 2x is shown on the grid.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through points (0, 1), (1, 2), (2, 4).

The graph of g(x) = (One-half)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?

On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.

Answers

Answer:

Your answer would be the second option.

Explanation:

As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)

Hope This Helps!

The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

What is exponential growth or decay function?

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

The graph of f(x) = 2x is shown.

it is looking for an exponential decay function, As an exponential function has to be sloping negatively.

Draw the graph of the equation by using the table shown below:

x      f(x)

-2      -4

-1       -2

0       0

The graph the exponential function approaches y = 0 in quadrant 1.

The function increases into quadrant 2 and It crosses the y-axis at (0, 1).

Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ2

A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.

Answers

The pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Let l be the length of side of the square bottom of the pool and h be the height of the pool.

Its volume V = l²h

Now, the total surface area of the pool equal the area of its sides plus the area of its base.

The area of its 4 sides is 4lh.

Since the cost of the side of the pool is $80 per square foot, the total cost for the sides of the pool is C = $80 × 4lh = $ 320lh

Also, The area of its square bottom is l².

Since the cost of the side of the pool is $40 per square foot, the total cost for the square bottom of the pool is C' = $40 × l² = $ 40l²

So, the total cost of the pool is C" = C + C' = 320lh + 40l²

C" = 320lh + 40l²

Since the volume equals 2000 ft³, V = l²h

2000 = l²h

h = 2000/l²

Substituting h into C", we have

C" = 320lh + 40l²

C" = 320l × 2000/l² + 40l²

C" = 640000/l + 40l²

To find the value of l which makes C" minimum, we differentiate C" with respect to l and equate it to zero.

So, dC"/dl = d(640000/l + 40l²)/dl

dC"/dl = d(640000/l)/dl + d(40l²)/dl

dC"/dl = -640000/l² + 80l

Equating dC"/dl to zero, we have

-640000/l² + 80l = 0

-640000/l² = -80l

Cross-multiplying, we have

640000 = 80l³

Dividing through by 80, we have

l³ = 640000/80

l³ = 8000

Taking cube root of both sides, we have

l = ∛8000

l = 20 ft

We differentiate C" twice to determine if this value of l gives a minimum for C".

So, d²C"/dl² = d(-640000/l² + 80l)/dl

d²C"/dl² = d(-640000/l²)/dl + d(80l)/dl

d²C"/dl² = 640000/l³ + 80

Substituting l = 20, we have

d²C"/dl² = 640000/l³ + 80

d²C"/dl² = 640000/20³ + 80

d²C"/dl² = 640000/8000 + 80

d²C"/dl² = 80 + 80

d²C"/dl² = 160 > 0

Since d²C"/dl² = 160 > 0. So, l = 20 ft gives a minimum for C".

Since h = 2000/l²

Substituting l = 20 into the equation, we have

h = 2000/l²

h = 2000/20²

h = 2000/400

h = 5 ft

So, the pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Learn more about dimensions of a pool here:

https://brainly.com/question/22112169

sharon ate 2 pieces of pie. if this was 25% of the whole pie, how many pieces were there were originally.

Answers

Answer:

8

Step-by-step explanation:

25 divided by 2 is 12.5.

100 divided by 12.5 is 8

Answer:

8

Step-by-step explanation:

2 is 25% so, 2 times 2 is 4

4 is 50% so, 2 times 3 is 6

6 is 75% so, 2 times 4 is 8

8 is 100% of the pie

The area of the surface of a ball is equal to the area of the curved surface of a right circular cylinder. If both the height and diameter of the cylinder are 12cm , find the diameter of the ball

Answers

Answer:

D=12 cm

Step-by-step explanation:

please check the image for the answer. Thank you .

Name the corresponding angles

Answers

Answer:

Falta otro triangulo para poder realizar la operacion

Step-by-step explanation:

It’s B C hope that helps

Find the sum of the first 32 terms of the AP : 0.5, 0.75, 1​

Answers

Answer:

[tex]S_{32}[/tex] = 140

Step-by-step explanation:

The sum of n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]

     = 16(1 + 7.75)

     = 16 × 8.75

     = 140

Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51

Answers

[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]

Which table represents a direct variation between x and y

Answers

Answer:

Y

Step-by-step explanation:

Because the direct variables are plus twenty five

Slope is -4 and (6,1) is on the like the equation of the line is

Answers

Answer:

y=-4x+25

Step-by-step explanation:

If this is Point-Slope then:

y-y1=m(x-x1)                         m=slope

m= -4  Coordinates=(6,1)

y-1=-4(x-6)

y-1= -4x +24

y=-4x+25

Plzzz help meeee plzzzzzz

Answers

Answer:

  a) $560

  b) 80%

  c) $1134

Step-by-step explanation:

a)

The profit is the difference between selling price and cost price:

  profit = $1260 -700 = $560

__

b)

As a fraction of the cost price, the profit is ...

  $560/$700 × 100% = 80% . . . . of the cost price

__

c)

A 10% discount from the selling price makes it ...

  $1260 × (1 -10%) = 0.90×$1260 = $1134

A student will pay $1134 for a calculator.

What are the solutions of the equation x4−10x2+9=0? Use u substitution.
Group of answer choices

x = 3 and x = 1

x = 3i, x = -3i, x = i, x = -i

x = -3, x = 3, x = 1, and x = -1

x = -3 and x = -1

Answers

Answer:

Step-by-step explanation:

X^4 - 10X^2 + 9 =0    This factors. It just looks odd.

(x^2 - 1)(x^2 - 9) = 0

x^2 - 1 = (x + 1)(x - 1) = 0

x = 1 and x = - 1

x^2 - 9 = (x + 3)(x - 3) = 0

x = 3

x = -3

The correct answer is C (third one down).

NEED HELP ON THIS QUICKLY!!!!!!!
1. Write an exponential function to represent the spread of Carter's social media post.

2. Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.

3. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers.

4. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?

5. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions?

6. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions.

BELOW IS A SCREENSHOT OF THE GRAPH OF THEIR RESULTS

Answers

Answer:

Step-by-step explanation:

1.  f(x)=10*(2)^x

2.  Attached

3.  Attached

4.  Use DESMOS to make this change in Amber's graph, using f(x) = 3(4)x + 45.

5.  Amber grows the quickest.  The starting base, 4, is greater than the others (f(x)=3*(4)^x).

6.  I'd prefer more friends initially, even with fewer shares.

Express 6/8 as a percentage.​

Answers

Answer:

75%

Step-by-step explanation:

Here, 6/8 = 6/8×100%

= 75%.

Answer:

75

Step-by-step explanation:

6/8×100%= 75(as we are expressing in percentage so multiplting by 100

Ya'll how do I graph this? I haven't graphed anything in 3 years

Use a coordinate plane to plot these points and connect them to make a quadrilateral. Then construct a similar quadrilateral (A’B’C’D’) on the same coordinate plane. You may use a ruler and protractor if necessary.
A (-2,3), B (1, 5), C (3, -1), (-1, 3)

Answers

There you go! Hope this helps! :)

please help mee
i’ve been on this for so long

Answers

Since the angle of a full square, circle, etc is 360*, divide 360 by 12 which gives you 30*. Angle PQR = 30*
Angle PQ = Angle RQ
Line PQ = Line QR
(some added things because mathswatch likes them!!)

36 x 1/9, show work please !

Answers

Answer:

4 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

39 × [tex]\frac{1}{9}[/tex]

39 times 1 is 39

39/9 is 4.33333333 Which is also, 4 [tex]\frac{1}{3}[/tex]

36*1/9

36/1*1/9

We then multiply the numerator and the denominator

“36/9

5.
The perimeter of a regular octagon is 88 cm.
a) Write an equation you can solve to find the side length of the octagon.
b) Solve the equation.

Answers

Answer: a) side length = perimeter ÷ 8

b) 11cm

Step-by-step explanation:

side length = the perimeter ÷ 8( there are 8 sides in an octagon)

= 88 ÷ 8

= 11cm

hope u understand

easy one for you folks.​

Answers

Length = 4m

Width = ½ of length = ?

Then width will be,

→ 4 × 1/2

→ 4 ÷ 2 × 1

→ 2 × 1 = 2

Thus, 2 is the width.

Admit it, you're waiting for something that has no chance of happening.
Alone, I feel sad. ...
Behind every “it's okay” is a little pain.
Clowns need laughter too.
Do you ever think about your well-being and realize how not okay you are?
Drowning in a whirlpool of emotions.

Answers

Answer:

no.

Step-by-step explanation:

no. thanks.

..........

..

How do you Find cross products with multiplication?
I will give 500 pts and Brainliest!

Answers

Answer:

A cross product is an form from an vector multiplication, performed in between for two vectors from a different kinds or nature. An vector may have both magnitude also direction. So we can multiply two or more vectors for crossing a product also a dot product. The resultant vector is an perpendicular to a plane having the two add vectors.

Step-by-step explanation:

Sorry if I am wrong!!!!

Answer:

between for two vectors from a different kinds or nature. i think

brainliest???

Step-by-step explanation:

You start at (4,5). You move down 3 units. Where do you end?

Answers

Answer:

(4,2)

Step-by-step explanation:

If you move from left to right your X will change if you move up or down your Y will change.

( can I have brainiest? )

The length of an eraser is ¾ inch. How many erasers would it take to make a row 42 inches long?

Answers

Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be

3/4+3/4=2 3/4

So, let us suppose that we have x erasers. The length of the row of x erasers would be

3/4 x

we want x such that this length is 42, so we have the equation

3/4 x =42

Step-by-step explanation:

Kate had 50 thousands-blocks in her package of base-ten blocks. How many ten thousands-blocks does that equal?

5

50

500

5000

Answers

Step-by-step explanation:

50000÷10

=5000

MARK ME BRAINLIEST

Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 15.

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

If there are six sides on a die then there are 36 different rolls

The factors of 15 are (3×5) and (5×3) so you would get 2/36

When you simplify that you get 1/18

I hope this helps!!

Step-by-step explanation:

there are six squares in each dice so 3×5=15 and 5×3=15answer is 1/8

what is the answer help

Answers

Answer:

1

Step-by-step explanation:

y=-x-1

when it is perpendicular, it is the opposite then flip the fractions so 1 and if you flip 1 it is still 1

Find the value of each expression.

A) 3√9-16

B) -7√0.36+5.4

Answers

A.)

[tex]3 \sqrt{9} - 16 = ... \\ = 3(3) - 16 = 9 - 16 \\ = \bold{ - 5}[/tex]

[tex] \: [/tex]

B.)

[tex] - 7 \sqrt{0.36} + 5.4 = ... \\ = - 7(0.6) + 5.4 = - 4.2 + 5.4 \\ = 5.4 - 4.2 = \bold{1.2}[/tex]

a 10 meter piece of wire is cut into two pieces . one piece is 2 meters longer than the other. how long are the pieces ​

Answers

One piece is 6 meters while the other is 4 meters

A family buys a studio apartment for 120,000. They pay down payment of 18,000.

A. Their down payment is what percent of the purchase price?

B. What percent of the purchase price would a 48,000 down payment be?​

Answers

Answer:

EZ

Step-by-step explanation:

A. 15 Percent

B. 40 Percent

Answer:

A) 15% B) 40%

Step-by-step explanation:

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