write two mixed so that all rules are applied: one number is larger than the other by 4 2/3, the difference of the numbers is equal to the smaller number, and the sum of the differences is a natural number

Answer:

p=-2

Step-by-step explanation:

Start off by adding 3 to both sides:

-6p-3=9

    +3 +3

Now you have this:

-6p=12

Now divide both sides by -6

-6p/-6=12/-6

p=-2

I hope this helps, and have a great day! <3 :)

Answer

-6p - 3 = 9

     + 3 + 3

-6p = 12

 6      6

p = -2

70 is a composite number because it can be divided by numbers other than one and itself.

Answer:

70 is composite

Step-by-step explanation:

Its last digit is 0. That means it's 100% composite.

Answer:

The ratio of the number of rotten apples to the total number of apples is 6:35

The ratio of the number of good apples to the number of rotten apples is 35:6

Step-by-step explanation:

If you look at the wording the orders are switched.

Rotten apples: Good apples

Good apples: Rotten apples

Answer: -4.1

Step-by-step explanation:

0.4 - 4.5 = -4.1

Answer:

12 in

Step-by-step explanation:

Use Pythagorean theorem

9514 1404 393

Answer:

  7.5 m

Step-by-step explanation:

The cosine relation applies.

  Cos = Adjacent/Hypotenuse

  cos(60°) = (distance to wall)/(15 m)

  distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m

The foot of the ladder is 7.5 m from the wall.

Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3).  Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

-3: y = -2 * (-3) - 7 = 6 - 7 = -1

0: y = -2 * 0 - 7 = -7

3: y = -2 * 3 - 7 = -6 - 7 = -13

6: y = -2 * 6 - 7 = -12 - 7 = =-19

Answer:

$980.03

Step-by-step explanation:

$800 x 0.07 = $56

($800 + $56) x 0.07 = $59.92

($856 + $59.92) x 0.07 = $64.11

$856 + $59.92 + $64.11 = $980.03

Answer:

65

Step-by-step explanation:

Answer:

x = - 15

Step-by-step explanation:

Given

[tex]\frac{x}{5}[/tex] = 5 + [tex]\frac{x-9}{3}[/tex]

Multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions

3x = 75 + 5(x - 9) ← distribute and simplify right side

3x = 75 + 5x - 45

3x = 5x + 30 ( subtract 5x from both sides )

- 2x = 30 ( divide both sides by - 2 )

x = - 15

As a check

substitute x = - 15 into the equation and if both sides are equal then it is the solution.

left side = [tex]\frac{-15}{5}[/tex] = - 3

right side = 5 + [tex]\frac{-15-9}{3}[/tex] = 5 + [tex]\frac{-24}{3}[/tex] = 5 - 8 = - 3

Thus x = - 15 is the solution

Step-by-step explanation:

Given

x = 3

Then

2x +1

= 2 * 3 + 1

= 6 + 1

= 7

Hope it will help :)

Answer:

1. The difference of 2 times d minus = 3.

2. 4 added to the difference of d minus 3 = 4.

3. The difference of d minus 3 divided by 2 = 0.

4. The quotient of 12 divided by the

difference of 3 times d minus 3 = 2.

Step-by-step explanation:

Given that d = 3

1) 3 = The difference of 2 times d minus 3.

2*d - 3 =

2*3 - 3 =

6 - 3 = 3

2) 4 = 4 added to the difference of d minus 3.

4 + (d - 3) =

4 + (3 - 3) =

4 + 0 = 4

3) 0 = the difference of d minus 3 divided by 2.

(d - 3)/2 = (3 - 3)/2 = 0/2 = 0

4) 2 = the quotient of 12 divided by the

difference of 3 times d minus 3.

12/(3d - 3) =

12/(3*3 - 3) =

12/(9 - 3) =

12/6 = 2

Answer:

1. The difference of 2 times d minus = 3.2. 4 added to the difference of d minus 3 = 4.3. The difference of d minus 3 divided by 2 = 0.4. The quotient of 12 divided by thedifference of 3 times d minus 3 = 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have a right triangle, more precisely is a isosceles right triangle, as you have one angle= 45⁰, the other angle is also= 45⁰

In this triangle the hypotenuse, c, is

c=9[tex]\sqrt{2}[/tex]= 12.72

Answer:

41

Step-by-step explanation:

Step-by-step explanation:

10 + (5×3) -2(-8)

Do ×/÷ before +/- but if it has () do the number in () before

10 + 15 + 16

= 41

Answer:

f(x) = -7(x-5)^2 +5

f(-1) = -7(-1-5)^2 +5

f(-1) = -7(-6)^2+5

f(-1) = -7(36)+5

f(-1) = -252+5

f(-1) = -247

Let me know if this helps!

Answer:

-247

Step-by-step explanation:

f(-1) = -7((-1)-5)^2

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Answer:

Step-by-step explanation:

Answer: tp and rq

Step-by-step explanation:

Answer:

x = 22 degrees

Step-by-step explanation:

Since this is a right angle and both angles added together will equal to 90degrees this means that:

(3x-5) + (x+7) = 90

(first, remove the brackets)

3x-5+x+7 = 90

( add the numbers together and the term x together)

( 3x+x ) + ( -5+7 ) = 90

4x + 2 = 90

(subtract 2 from both sides)

4x = 88

(divide by 4 from both sides)

x = 22

so the measure of x = 22 degrees

Answer: 5/8 : 5=5/8*1/5=1/8

the answer is 1/8

Step-by-step explanation:

Answer:

He must pay $129.45 and the total amount due is $3,629.45.

Step-by-step explanation:

I (interest) =P (principal) x R (rate) x T (time)

I=3500x.09x150/365

I=129.45

A (amount due) = P (principal) + I (interest)

A= 3500 + 129.45

A= $3629.45

Step-by-step explanation:

kindly use English. i will hep

Answer:

The number 8 should be at the right side point 8

Step-by-step explanation:

hope this helps!

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

Answer:

              11x+23

y=    -    --------------

                  10

Step-by-step explanation:

7⁴

7 to the fourth power

7•7•7•7

These have the same value.

7^4 is the right ....... . . . . . . . . . .