Write two mixed numbers that have a sum of 3 4/5.

Answer:

x = 2

Explanation:

[tex]\frac{3x-1}{5} =\frac{x+1}{3}[/tex]

First, make sure they both have common denominators ( 15 )

5 × 3 = 15 and 3 × 5 = 15

Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.

[tex]\frac{3*(3x-1)}{3*5}[/tex] = [tex]\frac{3(3x-1)}{15}[/tex]

Next, multiply the numerator and denominator of the second fraction by 5.

[tex]\frac{5*(x+1)}{5*3}[/tex] = [tex]\frac{5(x+1)}{15}[/tex]

Now we have: [tex]\frac{3(3x-1)}{15} =\frac{5(x+1)}{15}[/tex]

Use distributive property on the numerators of both fractions.

[tex]\frac{9x-3}{15} =\frac{5x+5}{15}[/tex]

Since the denominators are equal we can ignore them for now and find x.

9x - 3 = 5x + 5

We need to move like terms to different sides to isolate x. First, we can subtract 5x from both sides.

9x - 5x - 3 = 5x - 5x +5

4x - 3 = 5

Then, we can add 3 to both sides to cancel out the -3.

4x - 3 + 3 = 5 + 3

4x = 8

Finally, to find x we divide both sides by 4.

4x ÷ 4 = 8 ÷ 4

x = 2

Answer:

B

Step-by-step explanation:

I used substitution to solve this system. I'll run through all of my steps below:

[tex]4x+7y=85\\x=2y-5[/tex]

I'm going to replace the 'x' values in the first equation with the entire second equation.

[tex]4(2y-5)+7y=85[/tex]

[tex]8y-20+7y=85\\15y-20=85\\15y=105\\y=7[/tex]

Now that we know what y equals, we can go back and solve for x.

[tex]x=2(7)-5\\x=14-5\\x=9[/tex]

Hope this helps!

Step-by-step explanation:

HELPPP IT WOULD BE APPRECIATED :) gHjajjak\ajjjjjnjajjajjajajjaiajjaja

PAGAL KUTTA

Answer:

b

Step-by-step explanation:

I hope this helps and have a nice day

Answer: b

use a scientific calculator to verify

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

6^2 = 6*6 =36

3^2 = 3*3 = 9

36+9 = 45

Answer:45

Step-by-step explanation:6x6= 36 3x3=9 9+36=45

Answer:

the number of magazines purchased is 20

Step-by-step explanation:

As it is mentioned in the question that there is a total of 60 books + magazine altogether

Here we used the following equations

Let us assume the number of magazines be x

ANd, the number of books be y

x + y = 60 .............(1)

2x+ 3y = $160 ..........(2)

Now multiply with 2 in the equation 2

Then it comes

2x + 2y = 120

2x + 3y = 160

Solve these equations

y = 40

Now the x value is

x + 40 = 60

x = 20

Hence, the number of magazines purchased is 20

Answer:378 people

Step-by-step explanation:

84/2=42

42*9=378

Answer:

p = -2/3

Hope this helps

Answer:

Step-by-step explanation:

14628

Answer:

(A) Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because the y-coordinate is 3.75. 3.75 is between 3 and 4.

Step-by-step explanation:

I hope that helps

Answer:

Dividing two negative values results in a positive value. Reorder −10 - 10 and 5x2 5 x 2 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 52 .

Step-by-step explanation:

Answer:

(sin(t)+cos(t))^2=sin^2(t)+cos^2(t)+2sin(t)cos(t)=1+sin(2t)\\


Step-by-step explanation:

hopefully this helps!

Answer:

What is the situation?

Step-by-step explanation:

Answer:

What do you need my guy

Step-by-step explanation:

Talk in the chat below.

Answer:

First blank would be 25, Second blank would be 75.

Step-by-step explanation:

In order to figure out the blanks, we must figure out the original function first.

How do we do that?

-> we put in the points that we already have- in to equation:

    y = ax + b

If we put the 6, 10 in to x, y , we would get :

10 = 6a + b

If we put the 12, 20 in to x, y , we would get :

20 = 12a + b

because these share the "+b" they can be subtracted.

           10   = 6a + b

-           20 = 12a + b

--------------------------------------

and this would be :

-10 = -6a, a = 5/3.

we can partly complete the equation.

y = 5/3x + b, and by putting in the numbers, we can figure out that b=0.

The full equation have : y = 5/3x

now, put 15 and 45 in to the x and see what you get!

y=25, 75

Have a nice day :)

Answer:

28.27

Step-by-step explanation:

Answer:115.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Substituting y:

Finding y:

Answer: (6, 1)

Correct choice is A.

Answer:

A

Step-by-step explanation:

Answer:

70cm

Step-by-step explanation:

Given height of the lamp;

    Height of lamp = 28inches

 Unknown:

The height in cm;

Solution:

       1 inch = 2.5cm

So;

          28 inches will be 28  x 2.5  = 70cm

Answer:

The answer is 48.24

Step-by-step explanation:

Answer:

48.24 will be correct

Step-by-step explanation:

Answer:

$212.16

Step-by-step explanation:

Simple Multiplication

try it

Answer: It could be B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of the rectangular box = x²h

Surface area  S = x²+4xh

x is the side length of the square base

h is the height

Given

Surface area = 1200cm²

Substitute into the formula S = x²+4xh

1200 = x²+4xh

From V = x²h

h= V/x²

1200 = x² + 4x (V/x² )

1200 = x² + 4V/x

1200x = x³ + 4V

1200x - x³ = 4V

V = 1200x/4- x³/4

V = 300x - x³/4

To maximize the volume, dV/dx = 0

dV/dx = 300 -3x²/4

0 =  300 -3x²/4

0 = 1200 - 3x²

3x² = 1200

x² = 400

x = 20cm

Since 1200 = x²+4xh

1200 = 400+80h

80h = 1200-400

80h = 800

h = 10cm

Find the volume;

Volume = 400 * 10 Volume -= 4000

Hence the maximum volume of the box in cubic cm is 4000 cm³

Answer:

9. A=65°

B= 115° C= 65° D= 115° E= 65° F= 25°

10. A=70°

B= 110° C= 70° D= 110° E= 70° F= 20°

11. F=22°

A= 68° B= 112° C= 68° D= 112° E= 68°

12. D=116°

A= 64° B= 116° C= 64° E= 64° F= 26°

I hope this helps, have a nice day

Answer:

Need more info

Step-by-step explanation

Answer:

1/2x + y = 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Slope-Intercept Form:   y = -1/2x + 4

Step 2: Find Standard Form

And we have our final answer!

Answer:

1/2x+y=4

Step-by-step explanation:

Standard form for linear equation is Ax+By=C

Step-by-step explanation:

Answer. The probability of picking a blue marble from the blue urn is 2/6=1/3. The probability of picking a blue marble from the black urn is 11/15. The two events are independent so the probability of a blue marble from each urn is the product of the two separate probabilities=1/3×11/15=11/45.