Nancy was keeping track of how many miles she ran each month. In April, she ran 25 miles. In May, she ran 34 miles, and in June, she ran 42 miles. Choose the answer that is the best estimate for the total number of miles she ran during these 3 months.

Answer:

The system of equations that can be used to determine the three numbers are equation 1 and 6

x + y + z = 27 ----- ( 1 )

37.33 x - 56 y + 0 = 0  ---- ( 6 )

Step-by-step explanation:

x + y + z = 27 ----- ( 1 )

x * z = 56 ------ ( 2 )

y / x  = 1.5  -------- ( 3 )

from equation 3

x = y / 1.5  -------- ( 4 )

input equation 4 into ( 2 )

( y / 1.5 ) * z = 56

y * z = 37.33 ------  ( 5 )

from equation 5 ;  z = 37.33 / y input  back to equation 2

x ( 37.33 / y ) = 56

37.33 x = 56 y  

37.33 x - 56 y  + 0 = 0  ---- ( 6 )

Answer:

The correct option is c. Combining like terms in the first expression and dividing each term by 5.

Step-by-step explanation:

Joe concluded that the expression [tex]3x+15+2x[/tex] is equivalent to the expression [tex]5(x+3)[/tex].

Let's analyze each option :

a. Dividing each term in the first expression by 3.

If we perform this operation it will lead us to :

[tex]\frac{3x+15+2x}{3}=x+5+\frac{2}{3}x[/tex]

And if we sum each term ⇒ [tex]x+5+\frac{2}{3}x=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]

Which isn't equivalent to the expression [tex]5(x+3)[/tex]

b. Combining like terms in the first expression and dividing each term by 3.

If we perform this operation it will lead us to :

[tex]3x+15+2x=15+5x[/tex] ⇒

[tex]\frac{15+5x}{3}=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]

Which isn't equivalent to the expression [tex]5(x+3)[/tex]

c. Combining like terms in the first expression and dividing each term by 5.

If we perform this operation it will lead us to :

[tex]3x+15+2x=15+5x[/tex] ⇒ Now if we divide each term by 5 and then we multiply the expression by 5 (in order to keep the equivalence) ⇒

[tex]\frac{15+5x}{5}=3+x[/tex]

And then we multiply by 5 to keep the equivalence ⇒

[tex]5(3+x)[/tex]

Finally, using commutative properties ⇒ [tex]5(3+x)=5(x+3)[/tex]

Which is the same expression that Joe found.

The correct option is c. Combining like terms in the first expression and dividing each term by 5.

Anyway, let's analyze option d. Subtracting 20 and applying the distributive property to the first expression :

[tex]3x+15+2x-20=-5+5x=5(-1+x)[/tex]

Which isn't equivalent to [tex]5(x+3)[/tex]

Answer: The correct option is c. Combining like terms in the first expression and dividing each term by 5.

Step-by-step explanation:

Answer: is bruh idk

Step-by-step explanation: you dont ask me

Answer:

a)  -4g + 52

b)  8p

c)  6z

d)  2a +204

e)  8a +16

f)  32w +16

Answer:

20 days

Step-by-step explanation:

2212 divided by 114 =19.40350877, so round it up to the nearest tenth, which is 20. he has read for 20 days

Answer:

Answer: 21 inches

Step-by-step explanation:

I got it right so this should help

if you want the explanation i can give that to u just comment

Answer:

 y  = -x + 8

Step-by-step explanation:

We are to write the expression is slope intercept format;

  coordinate  = (3,5)

   slope  = -1

The equation of a straight line is given as;

     y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

      y  = mx + c

      5  = -1 (3) + c

      5  = -3 + c

      c = 8

The equation of the line is ;

 y  = -x + 8

Answer:

3.) [tex]y = \frac{2}{5} x - 7.2[/tex]

4.) [tex]y = -3x - 1[/tex]

Step-by-step explanation:

You have to find the y-intercept in both questions to put it in point-slope form. The first step is to substitute y and x from the question into point slope-form. You get -6 = m(-3) + b. Then you substitute for the slope which is 2/5. You end up with -6 = [tex]\frac{2}{5}[/tex] (-3) + b. Solve for b which is -7.2 and put the slope and y-intercept into the final point-slope equation. You follow the same steps for question 4.

Answer:

-123.76

Step-by-step explanation:

You just multiply -22.1 by -5.6 and you get -123.76.

Answer:

-43K+17

Step-by-step explanation:

(–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)

-9.3=-27                        10.3=30

12.2=24                         3.2=6

=(-27k+24k+9) - (30k+6k+4k-8)

COLLECT LIKE TERMS

=(-3k+9) - (40K-8)

= -3k+9-40k+8

= -43k+17

Answer:

-19k³ + 9k² + 17

Step-by-step explanation:

Given expression;

         (-9k³ + 12k² + 9)  - (10k³ + 3k² + 4k - 8)

To simplify, expand the brackets.

In the second bracket, the negative sign multiplies through;

   = (-9k³ + 12k² + 9)  - 10k³ - 3k² - 4k + 8

     = -9k³ + 12k² + 9 - 10k³ - 3k² - 4k + 8

     = -9k³ - 10k³  + 12k² - 3k²+ 9+ 8

     = -19k³ + 9k² + 17

Answer:

When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try to get you a better answer! :)

Answer:

Step-by-step explanation:

Simplifying

x2 + -9 = 0

Reorder the terms:

-9 + x2 = 0

Solving

-9 + x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.

-9 + 9 + x2 = 0 + 9

Combine like terms: -9 + 9 = 0

0 + x2 = 0 + 9

x2 = 0 + 9

Combine like terms: 0 + 9 = 9

x2 = 9

Simplifying

x2 = 9

Take the square root of each side:

x = {-3, 3}

Answer:

10^2=0

Step-by-step explanation

Because x by it self always means one it would technically be 1^2+9 which would equal 10^2=0

Answer:

C =diameter times π

24π mm

Answer:

the answer is 10 6/3 20/10       1/2

Step-by-step explanation:

Answer:

I need points!!!!!!!!

Step-by-step explanation:

EWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answer:

<A = 76°

<B = 63°

<C = 41°

Plug in the value of x

<C = 34 + 7

<C = 41°

Step-by-step explanation:

[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)

Solve for x

[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]

Add like terms

[tex] 78 + 3x = 180 [/tex]

Subtract 78 from each side

[tex] 78 + 3x - 78 = 180 - 78 [/tex]

[tex] 3x = 102 [/tex]

Divide both sides by 3

x = 34

<A = 2x + 8

Plug in the value of x

<A = 2(34) + 8 = 76°

<B = 63°

<C = x + 7

Plug in the value of x

<C = 34 + 7

<C = 41°

Step-by-step explanation: 5

Answer:

T (-4.5, -3)

S (0,-3,5)

R (3.5,0)

Q (4, 6.5)

P (-2,4)

I took the time to look and note the points on the graph. GL tho.

Answer:

73%

Step-by-step explanation:

if 100% of the skittles are there, and 27% are red, then you would just subtract to find out how many aren't red.

100-27=73

Answer:

[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).

Step-by-step explanation:

The endpoints:

Calculating the Midpoint M of BC:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]

The Midpoint M of BC [tex]=\left(\frac{8+6}{2},\:\frac{-7+9}{2}\right)[/tex]

                                     [tex]=\left(7,\:1\right)[/tex]

Calculating the slope of BC:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]

[tex]m=\frac{-7-9}{8-6}[/tex]

[tex]m=-8[/tex]

Given a line with slope [tex]m[/tex] then the slope of a

line  perpendicular to it is:

[tex]m_{prependicular}=-\frac{1}{m}=-\frac{1}{-8}=\frac{1}{8}[/tex]

Equation of line using point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex]        

Therefore, [tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).                                          

Answer:

sam houston because Lamar was against annexation

Step-by-step explanation:

Answer:

m is greater than -4. The graph is correct.

Answer:

(a) x + 3(x + 4) = 5(x + 2) - 5

(b) youngest: 7 years old

middle: 9 years old

oldest: 11 years old

Step-by-step explanation:

(a)

We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.

Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:

x + 3 * (x + 4) = 5 * (x + 2) - 5

x + 3(x + 4) = 5(x + 2) - 5

(b)

Now, we can just solve the equation above:

x + 3(x + 4) = 5(x + 2) - 5

x + 3x + 12 = 5x + 10 - 5

4x + 12 = 5x + 5

x = 12 - 5 = 7

So, the youngest sister is 7 years old.

That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.

The ages, then, are:

youngest: 7 years old

middle: 9 years old

oldest: 11 years old

Answer:

Janice will need 2 cups of oil.

Step-by-step explanation:

You know that Janice needs to prepare 2[tex]\frac{2}{3}[/tex] servings. A mixed number is a numerical way of representing a fraction greater than unity, that is, of representing fractions in which the numerator is greater than the denominator (improper fraction). To calculate the number of cups of oil needed, first it is convenient to transform the mixed number to an improper fraction. For that, the integer part is multiplied by the denominator and the numerator is added to it. The result obtained is the numerator of the improper fraction. The denominator is the same as that of the rational part of the mixed number.

In this case:

[tex]2\frac{2}{3} =\frac{3*2+2}{3} =\frac{8}{3}[/tex]

Knowing that the recipe calls for [tex]\frac{3}{4}[/tex] cups of oil per serving and Janice needs to prepare [tex]\frac{8}{3}[/tex] servings, you can apply the following rule of three: if [tex]\frac{3}{4}[/tex] cups of oil are required for 1 serving, [tex]\frac{8}{3}[/tex] servings how many cups of oil require?

[tex]cups of oil=\frac{\frac{8}{3}servings *\frac{3}{4}cups of oil }{1 serving}[/tex]

Solving:

cups of oil= 2

Janice will need 2 cups of oil.

$51.49+$17.65=$69.14

$80-$69.14=$10.86

Answer/Step-by-step explanation:

1. -14

2. 3

3. -3

4. 10

5. -8

1. 4 x -3 = -12 - 2 = 14

2. -3 x 2 = -6 + 9 = 3

3. 8 divided by 4 = 2 - 5 = -3

4. 3/2 = 1.5 x 2 = 3 + 7 = 10

5. -9/3 = -3 - 5 = -8