The container that holds the water for the football team is 2/3full. After pouring out 4 gallons of water, it is 4/9full. How many gallons can the container hold?

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Answer 1

Answer: I hope this helps you

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Solve for x
log(x–4)+log(x+3)=2logx

Answers

$D:x-4>0 \wedge x+3>0 \wedge x>0\nD:x>4 \wedge x>-3 \wedge x>0\nD:x>4\n\n\log(x-4)+\log(x+3)=2\log x\n\log(x-4)(x+3)=\log x^2\n(x-4)(x+3)=x^2\nx^2+3x-4x-12=x^2\n-x=12\nx=-12\n-12\not\in D\n\Downarrow\n\boxed{x\in\emptyset}$

The length of an object in feet is equal to three times its length in yards. The length of a waterslide is 48 feet. Write and pick equation to find the length of a waterslide in yards

Answers

Answer:

Equation is: $L=3y$

Length in yards is 16 yards.

Step-by-step explanation:

Let 'L' represent length in feet and 'y' in yards.

Given:

Length of the waterslide is, $L=48\ ft$

Length in feet is three time its length in yards. Therefore,

Length in feet = 3 $*$ Length in yards.

∴ $L=3y$

Dividing both sides by 3, we get:

$(L)/(3)=(3y)/(3)\n\ny=(L)/(3)$

Now, plug in 48 for 'L' and solve for 'y'. This gives,

$y=(48)/(3)\n\ny=16\ yards$

Therefore, the length of the waterslide of length 48 feet in yards is 16 yards.

Find the length of the radius for this circle.(x - 3)² + (y - 5)² = 8

8
4
2√2

Answers

Answer: $2√(2)$

Step-by-step explanation:

The general form of equation of a circle is given by :-

$(x-a)^2+(y-b)^2=r^2$ , where r is radius and (a,b) is the center of the circle.

The given equation of circle: $(x - 3)^2 + (y - 5)^2 = 8$

$\Rightarrow\ r^2=8$

Taking square root on both sides, we get

$\Rightarrow\ r=√(8)=2√(2)$

Hence, the length of the radius for this circle= $2√(2)$

we know that the 8 represent the squared radius of the circle so to get the radius we should take the square root of 8
the answer is √8 = 2√2

What is the definition of rhombus?

Answers

A rhombus is a parallelogram with all sides equal.

DEFINITION

rhombus is a parallelogram with four sided equal a parallelogram whose all sides are equal is called a rhombus

PROPERTIES

all side are equal length

each pair of opposite sides are equal

opposite angles are equal

diagonals of a rhombus are perpendicular bisector each other

$area \: (1)/(2) * product \: of \: diognal$

The difference of a number q and 8

Answers

The difference of a number q and 8 is q-8.

It is required to write thedifference of a number q and 8.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

considering the word "difference" means subtraction, so to subtract 8 from q.

the difference of a number q and 8 is

q-8.

Therefore, the difference of a number q and 8 is q-8.

Learn more about algebra here:

brainly.com/question/652840

#SPJ2

8-q, considering the word "difference" means subtraction, so you are subtracting 8 from q.

Which expression has a value of 15 when n = 7?1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction

Answers

Answer:

$19-(28)/(n)$ is the expression with the value of 15 when n = 7

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

$43-5n$

Substitute the value of n & simplify,

$43-5(7)$

$43-35=8$

Since the value of the expression is 8 which is not equal 15.

Hence expression $43-5n$ does not have value of 15 when n = 7.

Expression 2:

$3n-5$

Substituting the value of n & simplify,

$3(7)-5$

$21-5=16$

Since the value of the expression is 16 which is not equal 15.

Hence expression $3n-5$ does not have value of 15 when n = 7.

Expression 3:

$6n-28$

Substituting the value of n & simplify,

$6(7)-28$

$42-28=14$

Since the value of the expression is 14 which is not equal 15.

Hence expression $6n-28$ does not have value of 15 when n = 7.

Expression 4:

$19-(28)/(n)$

Substituting the value of n & simplify,

$19-(28)/(7)$

$19-4=15$

Since the value of the expression is 15 which is equal 15.

Hence expression $19-(28)/(n)$ has the value of 15 when n = 7.

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