4x + 16 ≤ 74 solve the inequality and show your work

Answer:

9(9 + x) = -25

x = 6.22222 repeating

Step-by-step explanation:

First, we have to distribute. 9 times 9 = 81 and 9 times x = 9x. The equation now becomes 81 + 9x = -25.

Second, we have to get the coefficient alone. Since the opposite of positive 81 is negative 81, we subtract it to get 0. Since we did that to one side we have to do it to the other. -25 - (-81) = 56. Now we have 9x = 56.

Third, we have to get the variable by itself. To do that we divide 9 by 9 to get 0 and that gets the variable alone. Since we did that to one side we have to do it to the other. 56 divided by 9 = 6.222 with the 2 repeating over 8 times.

Answer:

18A324 units

Step-by-step explanation:

The volume of a sphere is given by where r is  given: The raduis of sphere =24 units  

Then the volume of the given sphere will be

Hence, the volume of given sphere

Answer:

Y = 5

Step-by-step explanation:

Correct answer: y = 5

By cross multiplication, you multiply 21 × 10, which is 210. Then, you divide 210 by 42, which is 5.

(x - 4)/(x + 4)

Step-by-step explanation:

[tex]\begin{aligned}\tt\frac{x^2-16}{x^2+8x+16}&=\tt\frac{x^2-4^2}{\left(x+4\right)^2}\\&=\tt\frac{\left(x+4\right)\left(x-4\right)}{\left(x+4\right)^2}\\&=\tt\frac{x-4}{x+4}\end{aligned}[/tex]

Note :

9514 1404 393

Answer:

  1 5/24 + 7 22/24 = 8 27/24

Step-by-step explanation:

No change is required to the fraction on the first line:

  1 5/24 = 1 5/24

The fraction on the second line can be multiplied by 2/2 to make its denominator 24.

  7 11/12 = 7 22/24

The fraction on the third line is the sum of the fractions on the other two lines. It is an improper fraction. We know this because the integer portion of the sum is shown as 8, not 9, as it would be if the fraction were reduced.

  5/24 +22/24 = 27/24

Then the sum is ...

  1 5/24 +7 22/24 = 8 27/24

_____

If the fraction on the final line were reduced, the sum would be 9 3/24 = 9 1/8.

Answer:

Right Triangle.

Step-by-step explanation:

A right triangle always has a 90 degree angle.

Answer:Right angle

Step-by-step explanation:the box down there signals its a 90 degree angle

Answer:

6 miles

Step-by-step explanation:

Answer:

diagonal = 5.7cm

Step-by-step explanation:

we can do Pythagoras as simple as this

a^2  + b^2 = c^2

4^2  + 4^2 = c^2

c^2 = sq rt 32 = 5.65685425

diagonal  = 5.7cm

Answer:

15 teaspoons

Explanation:

The ratio of soft drink to sugar is 12:10, when simplified it is 6:5 (divide by 2)

Since there's 18 oz of soft drink, we multiply 6 by 3, and because it's a ratio we must also multiply 5 by 3, which gets us 15.

18:15

Answer:

37 divided by 3 = 12.333333333.....

You can’t write it in distributive property, that only applies to multiplication.

Step-by-step explanation:

9514 1404 393

Answer:

  (A, B, C) = (2, 5, 2)

Step-by-step explanation:

Undo the square operation by taking the square root. Both the positive and negative square roots are solutions to the equation.

  [tex]c -2 = \pm\sqrt{50}[/tex]

Add 2 to both sides of the equation:

  [tex]c = 2\pm\sqrt{50}[/tex]

Simplify the square root:

  [tex]c=2\pm\sqrt{25\cdot2}=2\pm\sqrt{25}\cdot\sqrt{2}\\\\\boxed{c=2\pm5\sqrt{2}}\qquad\text{A=2, B=5, C=2}[/tex]

_____

Additional comment

Square roots are simplified by factoring out the factors that are perfect squares.

z+6>3 minus 6 from both sides

z>-3

2z<-12 divide both sides by 2

z<-6

Then substitute the z values into one inequality

-3<z<-6

Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:

[tex]20 \times 2.5 = 50[/tex]

The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:

[tex]T(f) = 68 - 0.3f[/tex]

Jody is at a depth of 50 feet, thus the temperature is T(50).

[tex]T(50) = 68 - 0.3(50) = 53[/tex]

The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

A similar problem is given at https://brainly.com/question/24316569

Answer:

parallel

Step-by-step explanation:

AB

m= 19-(-9)/8-(-6)

m=28/14

m=2

CD

m=0-(-4)/2-0

m=4/2

m=2

parallel:m1=m2

perpendicular:m1m2= -1

Step-by-step explanation:

you can see the full answer in Quizlet

Answer:

y = 18

Step-by-step explanation:

Without a picture or more information, this question is actually unsolveable. The answer could be multiple things, because there are multiple way to get from 8 to 14. But I will just assume that the equation for solving is:

x + 6 = y

So plug in 12 for x and you get y = 18.

Answer:

12

Step-by-step explanation:

22 is half

u go down by 1 and up by 1

It ends up at 17 and 27

17+27=44

The two numbers you are looking for are 17 and 27

Answer:

1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14

2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5

3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4

The condition which cannot be met for the numerical example a < b is the third condition a > 0 and b < 0.

Inequalities are expressions which are written on both sides separated by inequality symbols like <, >, ≤ and ≥.

The given numerical example is a < b.

When a > 0 and b < 0,

possible values of a are 1, 2, 3, ............

possible values of b are -1, -2, -3, .............

There is never a chance to get the positive values of a < negative values of b.

Hence the condition which is not met is a > 0 and b < 0.

Learn more about Inequalities here :

https://brainly.com/question/28823603

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The complete question is :

Ganesa wanted to write numerical examples for the inequality a<b, with the conditions described In the table. One of the conditions cannot be met. Complete the table. Indicate which condition cannot be met.

Numerical Example for a < b

Conditions are :

a < 0 and b < 0

a < 0 and b > 0

a > 0 and b < 0

a > 0 and b > 0

Answer:

768.51

Step-by-step explanation:

To find 35% change the percentage to a decimal (.35)

Then multiply the original amount by .35

2195.73 *.35

768.5055

Since this is money, we round to the nearest cent

768.51

Answer:

P = -10

5p - 8(p + 1) > 16

5(-10) - 8(-10 + 1) > 16

-50 - 8(-9) > 16

-50 + 72 > 16

22 > 16

Answer:

-2

Step-by-step explanation:

Answer:

[tex]2 - 4 = - 2 \times ( - 5) = 10 \div 2 = 5 + 4 = 9 \times ( - 2) = - 18[/tex]

Answer: 4

Step-by-step explanation:

Multiply by reciprocal of 2nd term, and simplify

-4/3 / 2/-6 = -4/3 * -6/2 = -4/3 * -3 = 4

-4 * -2 = 8

3 * -2 = -6

so, now we have

8/-6 ÷ 2/-6

8/-6 × -6/2

-48/-12

4

Answer:

Halloween

Step-by-step explanation:

Answer:

A is the correct answer..

i got this correct on my test

Answer:

2. 2xy-2y

Step-by-step explanation:

4xy-2y(x+1)=4xy-2xy-2y

=2xy-2y