At a shelter,15% of the dogs are puppies. There ate 60 dogs at the shelter. How many are puppies?

2 u + 12 < 23 0,1 d + 8 > 0 3 - 4 r > 7 13 < 2 z + 3 6 ≥ 9 - 0, 15 i

BartSMP [9]

Answer:

Part 1) $u< 5.5$

Part 2) $d > -80$

Part 3) $r < -1$

Part 4) $z>5$

Part 5) $i\geq 20$

Step-by-step explanation:

The question is

Solve each inequality for the indicated variable

Part 1) we have

$2u+12$

subtract 12 both sides

$2u< 23-12\\2u$

Divide by 2 both sides

$u< 5.5$

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

$0.1d+8 >0$

subtract 8 both sides

$0.1d > -8$

Divide by 0.1 both sides

$d > -80$

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

$3-4r> 7$

Subtract 3 both sides

$-4r>7-3\\-4r>4$

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$r < -1$

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

$13< 2z+3$

Subtract 3 both sides

$13-3$

Divide by 2 both sides

$5$

Rewrite

$z>5$

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

$6\geq 9-0.15i$

Subtract 9 both sides

$6-9\geq -0.15i\\-3\geq -0.15i$

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$20\leq i$

Rewrite

$i\geq 20$

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

6 0

3 years ago

Describe whether each equation is true for all one or no values of x

aev [14]

Answer:

I'll gladly answer if you could give more information. All we can see is the question "Describe whether each equation is true for all one or no values of x," so we need some context.

Step-by-step explanation:

We need context to this.

7 0

2 years ago

PLEASE I NEED HELP!!!!!

AVprozaik [17]

Answer:

113.1 =VOLUME , 4/3 X 3.14 (3) ^3 = 113.1

7 0

3 years ago

Show the work for 3-(-4)

notka56 [123]

It is;
3-(-4)
3- -4
3+4
7

5 0

3 years ago

What is 9/11=?/22 need help with this problem

KengaRu [80]

When you solve proportions, you have to cross multiply.

   9   x
  --- = --- Multiply each numerator by the opposite denominator.
  11 22

(9)(22) = 11x Then, multiply.

198 = 11x Then, divide.

18 = x

4 0

3 years ago