The equation 5w+16=61 models how many weeks, w, it takes a puppy to reach a weight of 61 ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach 61 ounces?

Answer:

x - y = 9

x = 9 + y (equation 1)

Their sum is 46

x + y =46

(9 + y) + y = 46

9 + 2y = 46

2y = 46 - 9

2y = 37

y = 37/2

y = 18.5 ( one number)

second number =

place the value of y in equation 1

x = 9 + 18.5

x = 27.5

The two numbers are 18.5 and 27.5

Step-by-step explanation:

Answer:   A

Step-by-step explanation:

81 -  1 1/5x [tex]\leq[/tex]  55   The first thing you could do is convert the mixed fraction into an improper fraction.

1 1/5 to an improper fraction is  -6/5  

Now rewrite the inequality as,

81 - 6/5x [tex]\leq[/tex] 55     Subtract 81 from both sides

-81               -81

-6/5x [tex]\leq[/tex] -26     Multiply both sides of the inequality by 5  

-6x [tex]\leq[/tex] -130         Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.

x  ≥  130/6    Convert 130/6 to a mixed fraction  

x ≥ 21  2/3

Answer:

12 cm

Step-by-step explanation:

Base area

14 x 7 = 98 cm²

The volume of pyramid

392= 1/3 x height x base area

Height =12 cm

Answer:

69

Step-by-step explanation:

Use the 3x-2 and take it out

Answer:

30+6+0.9+0.01 =36.91

Step-by-step explanation: Here ya go ;>

The length of the remaining rope is 41.5 inches.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Harold cut 18 and a half inches off a rope that was 60 inches long.

Let the remaining length of the rope be x.

This can be written as,

⇒ [tex]x=60-18.5[/tex]

⇒ [tex]x=41.5[/tex]

Hence we can conclude that the length of the remaining rope is 41.5 inches.

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Answer:

Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)

Step-by-step explanation:

I'm not sure if that's right

Answer:

2.21073919x10^23

Step-by-step explanation:

Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

Answer:

6³⁰

__________________________________________________________

We are given the expression:

[tex]\frac{(6^{-4})^{-9}}{6^{6}}[/tex]

Simplifying the expression

We can multiply the 2 exponents on the numerator to get:

[tex]\frac{6^{36}}{6^{6}}[/tex]

We can switch the sign of the exponent on the denominator to get it's reciprocal

[tex]{6^{36}}*6^{-6}[/tex]

Since the bases are the same, adding the powers

[tex]{6^{36-6}}[/tex]

[tex]{6^{30}}[/tex]

Hence, the given expression can be simplified to 6³⁰

Answer:

12,800 Dollars USD

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

6² + 3²

36 + 9

45

Follow me please

Answer:

Adult= 7 tickets

student= 27 tickets

Step-by-step explanation:

Step one:

let adult tickets be x

and students be y

Adult tickets cost $8 and

student tickets cost $7

So

[tex]8x+7y=245-----------1\\\\x+y=34-----------2[/tex]

Step two:

from equation 2

x=34-y

put the value of x in equation 1

[tex]8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27[/tex]

put y= 27 in equation 1

[tex]x+27=34\\\\x=34-27\\\\x=7[/tex]

Answer:

when you divide 3/4 by 1/8 you get 6

Answer:

7

Step-by-step explanation:

1.39 rounds to 1

6.76 rounds to 7

1 x 7=7

Answer:

1,7,7

Step-by-step explanation:

Step-by-step explanation:

The answer is on the bottom if you just wanna scroll down.

The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate  y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!

Answer:

y+5=5/2(x-5)

Hope this helps! (If it's wrong, plz leave sum comments. thx lol)

Answer:

15 apples

20 bananas

A total of 15 apples and 20 bananas has been bought.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of apples = A

Number of bananas = B

Given that,

Apples and bananas at the store in a ratio of 3 apples to 4 bananas.

So,

A/B = 3/4

And,

A + B = 35

By substitution,

4(35 - B) = 3B ⇒ B = 20

And,

A = 35 - 20 = 15

Hence "A total of 15 apples and 20 bananas has been bought".

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Step-by-step explanation:

For every 3 squares across, the line drops by 1 square.

Therefore the slope of the lina is -1/3.

The y-intercept of the line is -8 (when x = 0)

The equation of the line is y = -1/3 x - 8.

Answer:

I believe that all should be checked except for f(x) = x^6 which u already didn't check

Step-by-step explanation:

The equation is y = ab^x and all the equations, except that one, follow this formula

Answer:

hiii

Step-by-step explanation:

my name is arushi(aru)

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Answer:

1/16 tons of wood per deck

Step-by-step explanation:

6/15 ÷ 8

6/15 × 1/8 (Keep Change Flip)

6/96 = 1/16

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)

Answer: -3x

Step-by-step explanation: If you separate out each term on its own, 9 and x², and do the square root of each one, you are left with 3x. This is also coincidentally what the right side of this graph looks graphically. However, the line of 3x does continue past x=0, so the other side of this graph, -3x, fits this better.

Thats my best guess, either way, hope it helps!

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

Answer:

False

Step-by-step explanation:

To find the slope of a perpendicular, flip the slope and change the sign.

The slope pf the given line is 2.

The slope of a line perpendicular to y = 2x + 1 is -1/2.

Answer: False

Answer:

That isn't a function because the ratio of those numbers doesn't equal.

Step-by-step explanation:

Answer:

approximately 7 days

Step-by-step explanation:

20 ÷ 3 = 6.6 repeating, round up to 7 days

Answer:

3days and 8hours

Step-by-step explanation:

he painted 3/20 in 1/2day then

3/20 painted  for 1/2 day =12 hours so

1/20 was painted in 12/3=4 hours

since 20 /20 will be how long will be needed to paint the entire fence

20*4hour = 80hours which is (24*3)+8 that will make

3days and 8hours or

3and 1/3 days

Answer:

I) √29

ii) 3√5

iii) 5√5

iv) √41

v) √5

vi) 6√2

Step-by-step explanation:

1)

Given complex numbers    -1+i and -3-4i

The points are ( -1 , 1) and (-3 , -4 )

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]

2)

Given complex numbers    1+i and 7-2i

The points are ( -3,4) and (-6,-1)

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]

3)

Given complex numbers   -3 +4i and -6-i

The points are ( -3 ,4 ) and (-6 ,-1)

[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]

4)

Given complex numbers are -2+3i and 2-2i

The points are ( -2 ,3) and (2 , -2)

[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]



5)

Given complex numbers are 3 and 5+i

The points are( 3,0) and (5,1)

[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]



6)

Given complex numbers are -4+5i and 2-i

The points are ( -4 ,5) and ( 2,-1)

[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]



Answer:

rate of 50 cents per pound on the airline

Answer:

x = - 4

Step-by-step explanation:

Given

8x - 3 = 5(2x + 1) ← distribute

8x - 3 = 10x + 5 ( subtract 10x from both sides )

- 2x - 3 = 5 ( add 3 to both sides )

- 2x = 8 ( divide both sides by - 2 )

x = - 4

Answer:

x = - 4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 5 × 2x + 5 × 1

8x - 3 = 10x + 5

8x - 10x = 3 + 5

- 2x = 8

2x = - 8

x = (- 8)/2

x = - 4

Thus, The value of x is -4

-TheUnknownScientist