What is the answer to 3x - 17 = 7x

An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the

34kurt

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

4 0

3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

so

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

so

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

How can credit cards be safer than cash? a. It is harder to lose a single credit card than a large number of bills. b. A credit

konstantin123 [22]

Answer: Due to its anonymous nature, if you lose your cash, it's gone. Payment cards can be cancelled and replaced swiftly and remotely. Whilst cash may offer you complete anonymity from data thieves, EMV chip enabled cards offer a more thorough form of payment authentication, providing an extra layer of payment security

So, therefore, C.

3 0

3 years ago

Becky learned a total of 6 appetizer recipes over the course of 3 weeks of culinary school. After how many weeks of culinary sch

enot [183]

If the six appetizer recipes are distributed evenly between the three weeks, that would mean that Becky learned two recipes per week.

The answer is 10 weeks, every week Becky learns two recipes.

2 x 10=20

7 0

3 years ago

Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = -5

weqwewe [10]

Answer:

Step-by-step explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

x = (-4 + $\sqrt{16 - 4(4)(5)}$ ) / 2(4)

= (-4 + $\sqrt{-64}$ )/8

At this point, there are no real answers. The roots to this equation are complex.

x = (-4 + 8i)/8

= (-1 + 2i)/2

6 0

3 years ago

What is the answer to 3x - 17 = 7x - 9