A pyramid with a rectangular base has a volume of 105 cubic centimeters and a height of 15 centimeters. The length of the rectangular base is 7 centimeters. Find the width of the rectangular base.

Answer:

  x = -7y/(4 +5y)

Step-by-step explanation:

You can treat y as though it were a constant. As in any 2-step linear equation, you separate the variable term(s) from the constant term, then divide by the coefficient of the variable.

  4x +5xy = -7y . . . . . subtract 7y

  x(4 +5y) = -7y . . . . . factor out x, so we can see its coefficient

  x = -7y/(4 +5y) . . . . divide by the coefficient of x

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 9 \: , \: - 5 \: , - 1 \: , \: 3 \: }}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

Here, y = 2x - 5 and domain ( D ) = { -2 , 0 , 2 , 4 )

when, x = -2 , Range = 2 × (- 2)- 5 = - 4 - 5 = -9

when, x = 0 , range = 2 × 0 - 5 = 0 - 5 = -5

when x = 2 , range = 2 × 2 - 5 = 4 - 5 = -1

when, x = 4 , range = 2 × 4 - 5 = 8 - 5 = 3

Range = { -9 , -5 , -1 , 3 }

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

Utilize PEMDAS to solve the problems.

[tex]\frac{-44.288-31.6}{-3.1(6-1.2)}[/tex]

[tex]\frac{-75.888}{-3.1(4.8)}[/tex]

[tex]\frac{-75.888}{-14.88}[/tex]

[tex]5.1[/tex]

Hope this helps.

頑張って!

Answer:

5.1

Step-by-step explanation:

first you subtract -44.288 - 31.6= -75.888

then subtract 6-1.2= 4.8

then multiply -3.1x4.8= -14.88

then divide -75.888/-14.88= 5.1

false I believe.

I hope this helps-

Answer:

True

Step-by-step explanation:

I chose false and got it wrong.

Answer:

h(3x)=18x^2-12x-7

Step-by-step explanation:

[tex]h(x)=2x^2-4x-7\\h(3x) = ?\\\\h(3x) = 2(3x)^2 -4(3x)-7\\\\h(3x)=2\left(3x\right)^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-12x-7\\\\h(3x)=18x^2-12x-7[/tex]

Answer:

$2,065

Step-by-step explanation:

The computation of the commission earned by Sam is shown below:

For each sale, he gets 7% commission

So,

For $12,000, the commission amount is

= $12,000 × 0.07

= $840

And, for another sale i.e. $17,500, the commission amount is

= $17,500 × 0.07

= $1,225

So, the total commission he earned is

= $840 + $1,225

= $2,065

Answer: f(8) = 9

Step-by-step explanation:

PEMDAS: Solve for parenthesis first.

f(8)= (8-5)^2

(3)^2

Square that, you get 9.

Answer:

-x-15

Step-by-step explanation:

x-2x-15

1x-2x-15 (if a term doesn't have a coefficient then the coefficient is 1)

(1-2)x-15 (collect like terms by subtracting their coefficients)

-1x-15

-x-15 (when the term has a coefficient of -1, the number doesn't have to be written but the sign remains)

Answer:

__________________

I think the answer is A.

the first one

__________________

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the points R(-4, 5) and S(2, -1), to get the distance between the points, we will use the formula;

D = √(x2-x1)²+(y2-y1)²

Given x1= -4, y1 = 5, x2 = 2 and y2 = -1

RS = √(2-(-4))²+(-1-5)²

RS = √(6)²+(-6)²

RS = √36+36

RS = √72

RS = √2×36

RS = 6√2units

To get the midpoint, we will use the formula M(X,Y) = (x1+x2/2, y1+y2/2)

(X,Y) = (-4+2/2, -1+5/2)

(X,Y) = (-2/2, 4/2)

(X,Y) = (-1,2)

Hence the midpoint is (-1,2)

To get a point P 1/3 of the distance of RS, we will multiply 1/3 with the the distance RS as shown

P = 1/3 × 6√2

P = 2√2

Step-by-step explanation:

If u assume x=y=1, then x+y=2 and x^2+y^2=2

And now, xy=1.

Therefore x=y=1.

Let me know, if anyone come with other answers too.

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Step-by-step explanation:

(*) x^2 + y^2 - 2xy = 64

<=> (x - y)^2 = 64

<=> x - y = 8 or x - y = -8

(**) x^2 - y^2 = 40

<=> (x - y)(x + y) = 40

Case 1: x - y = 8

(**) <=> 8(x + y) = 40

<=> x + y = 5

we have: x+y = 5 and x-y = 8

--> x = (5+8)/2 = 6.5

--> y = x - 8 = 6.5 - 8 = -1.5

so (x,y) = (6.5 , -1.5)

Case 2: x - y = -8

(**) <=> -8(x + y) = 40

<=> x + y = -5

we have: x + y = -5 and x - y = -8

--> x = [ (-5) + (-8) ]/2 = -6.5

--> y = -5 - x = -5 + 6.5 = 1.5

so (x,y) = (-6.5 , 1.5)

Answer: (x,y) = (6.5 , -1.5) and (-6.5 , 1.5)

Answer:A=8

:)

8 divides by 2 would equal 4 and then you add 4 by 2 and it makes 6 :)

Answer:

10

Step-by-step explanation:

N(-2,1), P(3,1), Q(3, -1), R(-2, -1)

The polygon is the rectangle with sides 2 and 5

So the area is 2*5 = 10

see attached

Answer:

4

Step-by-step explanation:

2x² - x/y

if:

x = 1.5

y = 3

2*1.5² - 1.5/3

2*2.25 - 0.5

4.5 - 0.5

4

Answer:

Step-by-step explanation:

dollars:                     7.5     ----------------------->    ??

chicken wings         5      ----------------------->     1

to get 1 of 5 we have to divide 5÷5 = 1

so we have to divide the dollars by 5 too:   7.5÷5 = 1.5

Answer:

less than 8

Step-by-step explanation:

Plus a negative value becomes subtraction:

-12 + -23 = -12 -23 = -35

[tex]3x=a+\frac3b\\\\-\frac3b\quad\ -\frac3b\\\\3x-\frac3b=a\\\\a=3x-\frac3b[/tex]

or, if you mean  3x=(a+3)/b :

[tex]{}\ \ 3x=\dfrac{a+3}b\\\\\times b\quad\ \ \times b\\\\3bx=a+3\\\\-3\qquad-3\\\\3bx-3=a\\\\a=3bx-3[/tex]

Answer:

7 divided by 6 is 1.1666666667

Answer:

1/5 × 40 = 8

the person's speed is 8 miles per hour

Answer:

a)12

b)1/12

c)4/12

Step-by-step explanation:

a) the coin is a 1/2 and the dice is 1/6 so you times the bottom number and you get 12

b) since that is a exact one way to get it has to be 1/12 chance

c) so to only get a tails it would be 6/12 and less than 5 means you can get 1,2,3, and 4 so that is 4 ways out of 12 ways so its 4/12

The tax paid on the meal is represented by 0.05m.

my bad i put the wrong answer sometimes i put the wrong answer and i dont pay attention to it at all

Let's try some integer values of x to see what volumes we get

We do not get 15 as a result in that list above. So there are no integer solutions to x^3 = 15

In other words, the value [tex]\sqrt[3]{15}[/tex] is not an integer.

Answer:

x = 2

Step-by-step explanation:

Five to the power of quantity nine minus three x equals one hundred and twenty five.

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

RATIONAL BECUZ ANYTHING THAT CAN WRITTEN AS A FRACTION IS RATIONAL. OK????

The product is 6x^3-33x^2+45x-6

Answer:

The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.

Step-by-step explanation:

Originally Triangle has height =3.5cm and width=4cm

Beth enlarged the same triangle by scale of 5 and calculate area of triangle

The area of triangle as given as A= $$\frac{1}{2} \texrm{ (base) (height)}$$

Area of original triangle is A =$$\frac{1}{2}(3.5 \times 4)$$

Since, The triangle is enlarged by scale of 5

New height =3.5x5 = cm and new width=4x5cm

Area of new triangle is

A' = $$\frac{1}{2} (\textrm{new width} ) ( \textrm{new height})$$

A' = $$\frac{1}{2}(3.5 \times 5)(4\times 5)$$

A' = $$\frac{1}{2}(3.5 \times 4)(5^{2})$$

A' = $$A (5^{2})$$

Now, Looking what error beth made is:

Beth found Area of new triangle is A' = $$\frac{1}{2}(3.5)(4)(5)$$

The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.

Answer:

b

Step-by-step explanation:

Answer:

I want to say C

Figure jkl is simular to fugure jkl :)

Answer:

1) 2m + 3m2 - 4m=7

7) 3m2 – 2m + 4m= 11

8) 20 + 109 + 39 - 4= 164

3) 2m + 4m - 3m2= -3

9) 4xy + x + 2xy= 0

4) 2y + 14x - 7x + 9y= 18

10) 6m2 - 6m - 9m2= -51

Step-by-step explanation: