-4(3) + 15
7+3(0.5)
40-(2.5)​

Answer:

interest = $500, total amount = $5500

Sorry about the other person

Hope this helps!

9514 1404 393

Answer:

  process: substitute the given point values into the 2-point form of the equation for a line

Step-by-step explanation:

There are more than a half-dozen different forms of the equation for a line. They are useful for different purposes. One of them is the "two-point form".

Using x as the independent variable, and y as the dependent variable, the equation can be written as ...

  y -y1 = (y2 -y1)/(x2 -x1)/(x -x1)

where (x1, y1) and (x2, y2) are the two points.

__

Here, your two points are ...

  (t, s) = (10, 337) and (30, 349)

Using s in place of y, and t in place of x, these two points go into the formula like this:

  s -337 = (349 -337)/(30 -10)(t -10)

Simplifying the fraction, this is ...

  s -337 = (12/20)(t -10)

And writing it as a decimal, we get ...

  s -337 = 0.6(t -10)

_____

Additional comments

Adding y1 to both sides of the above form gives you ...

  y = (y2 -y1)/(x2 -x1)/(x -x1) +y1

This is the form I usually prefer to use, because it can lead directly to slope-intercept form. For this problem, the form shown above gets you to the answer you're looking for.

__

This "two-point form" is an expansion of the "point-slope form", which is ...

  y - k = m(x -h) . . . . . . . line with slope m through point (h, k)

where the equation for slope is ...

  m = (y2 -y1)/(x2 -x1)

and (x1, y1) is used instead of (h, k).

Answer:

The actual linear equation is s= 0.6t + 331 which can be rearranged to make s-337 = 0.6( t-10 ).

Step-by-step explanation:

Any linear equation has the formula y=Mx + c , where x is the independent variable , y is the dependent variable , m is the slope of the line and c is the y-intercept .

here y is replaced by “s” which stands for speed of sound and x is replaced by “t” which stands for temperature.

To find the slope , we divide gain  of “s” by gain of “t “

i.e. [tex]m= \frac{349-337}{30-10}= \frac{12}{20} = 3/5[/tex]

So the slope of the equation is 3/5 Or 0.6

lets plug s=337 and t= 10 into the equation s= 0.6t+ c

[tex]337= \frac{3}{5} (10) + c\\337 = 6 + c\\C= 331\\Hence the equation becomes s= 0.6t+ 331 \\Rearranging the equation , s-331 = 0.6t \\ subtracting 6 from both sides, s-331-6 = 0.6t-6\\S-337 = 0.6 ( t- 10 ) , which is given in your book.\\\\[/tex]

The last line is s-337 = 0.6t - 6 = 0.6(t-10 ) , which is given in your book.

Hope it helps

Answer:

If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.

Step-by-step explanation:

Answer:

∠ Y = 34°

Step-by-step explanation:

Since XY = ZY then the triangle is isosceles and the base angles are congruent, thus

∠ X = ∠ Y , that is

6x - 23 = 4x + 9 ( subtract 4x from both sides )

2x - 23 = 9 ( add 23 to both sides )

2x = 32 ( divide both sides by 2 )

x = 16

Thus

∠ Z = 4x + 9 = 4(16) + 9 = 64 + 9 = 73° = ∠ X

Hence

vertex angle Y = 180° - (73 + 73)° = 180° - 146° = 34°

Answer:

7/5

Step-by-step explanation:

Answer:

The correct one is Tyson

Step-by-step explanation:

Because dealership B slope is lower than dealership A so that means, dealership A pays a higher commission than dealership B

9514 1404 393

Answer:

Step-by-step explanation:

By the rules of exponents, ...

  (a^b)^c = a^(bc)

__

  (2^3)^n = 2^1 . . . . . given

  2^(3n) = 2^1 . . . . . . rule of exponents

  3n = 1 . . . . . . . . . . . equate exponents

  n = 1/3 . . .  . . . . . . . divide by 3

Recognize that 2^3 = 8, and 2^1 = 2, then substitute into the given equation:

  8^(1/3) = 2

Answer:

X=-3 y=-8

Step-by-step explanation:

[tex]5x - 6y = 33 \\ y = - 14 - 2x \\ [/tex]

Put the second one in first

[tex]5x - 6( - 14 - 2x) = 33 \\ 5x + 84 + 12x = 33 \\ 17x = - 51 \\ x = - 3[/tex]

[tex]y = - 14 - 2 \times ( - 3) \\ y = - 8[/tex]

Answer:

-20.59=40

+20.59  +20.59

$60.69

hope this helps

Answer: She would need to deposit $60.59

Step-by-step explanation:

She has: -20.59

She needs: 40

-20.59 + x = 40

+ 20.59 on each side

x = 60.59

Answer: the answer is d :)

The equation to represent the total cost of printing the calendars is y=500+2.50x.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

1) Given that, the cost of printing is $500, plus $2.50 per calendar.

Let the number of calendars be x and let the total cost be y.

So, the equation is y=500+2.50x

2) Each calendar will sell for $5.00 each.

The total income, y, for selling x calendars.

So, the total income is y=5.00x

Cameron estimates that the math class will sell 200 calendars.

So, the total cost = 5.00×200

= $1000

Now, y=500+2.50x

Substitute x=200 in y=500+2.50x, we get

y=500+2.50×200

y=1000

Hence, option D is the correct answer.

Therefore, the equation to represent the total cost of printing the calendars is y=500+2.50x.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ2

Answer:

Step-by-step explanation:

Givens: d = 32.5 m

Formula: V = 4/3 pi r^3

Solution

r = d/2

r = 32.5/2

r = 16.25

V = 4/3 * 3.14 * (16.25)^3

V = 17965.05   to the nearest tenth is

V = 17965.1  

Answer:

≈17974.2 m

Step-by-step explanation:

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{32.5}{2}=16.25

radius=

2

diameter

​

=

2

32.5

​

=16.25

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (16.25)^3

3

4

​

π(16.25)

3

17974.1642186

17974.1642186

Use calculator

\approx 17974.2\text{ m}^3

≈17974.2 m

3

Round to the nearest tenth

Answer:

X = 6

Step-by-step explanation:

Answer:

b. 6

Step-by-step explanation:

2x + 9 = 21

then you subtract 9 from each side

2x = 12

then you divide 2 from each side

x = 6

Hope this helps dude ! ^-^

Answer:

Step-by-step explanation:

it is a

Answer:No he is incorrect the correct answer would be 11

Step-by-step explanation: It would be 11 because since he eats 7 rolls per minute it would be like 7x1 so 7x11=77 and 11 would be the minutes.

Given:

Manuel wants to earn at least $44 trimming trees.

He charges $6 per hour and pays $4 in equipment fees.

To find:

The possible numbers of hours Manuel could trim trees.

Solution:

Let t be the numbers of hours Manuel could trim trees.

Earnings of Manuel in one hour = $6

Earnings of Manuel in t hour = $6t

He pays $4 in equipment fees. So, we will subtract this from the income.

[tex]\text{Total earnings}=6t-4[/tex]

Manuel wants to earn at least $44 trimming trees. It means, total earnings must be greater than or equal to 44.

[tex]6t-4\geq 44[/tex]

[tex]6t\geq 44+4[/tex]

[tex]6t\geq 48[/tex]

Divide both sides by 6.

[tex]t\geq \dfrac{48}{6}[/tex]

[tex]t\geq 8[/tex]

Therefore, the required number of hours must be greater than or equal to 8 hours.

Answer:

[tex] \sqrt{50 } \times \sqrt{4} [/tex]

Answer:

12.8%

Step-by-step explanation:

25000 - 3200 = 21800

21800/25000 = 87.2%

100 - 87.2 = 12.8

12.8%

Answer:

1/6

Step-by-step explanation:

When trying to calculate the probability of a sequence of events you need to multiply the probability of the first event happening by the probability of the second event happening. There are a total of 4 numbers (2,3,4,5) and only one is a 2. Therefore the probability of the first pick being a 2 is 1/4. Now there are only 3 cards left (3,4,5) and only 2 numbers are greater than 3 so the probability of picking one of these cards is 2/3. Now that we have both of these probabilities we simply multiply them together.

1/4 * 2/3 = 2/12 or 1/6

Therefore, the probability of picking a 2 and then picking a number greater than 3 is 1/6

Answer:

Step-by-step explanation:

to find out the coresponding sides and angles draw 2 triangles that are the same and label them in same ORDER (I did counterclock wise) will help you see better the parts

  L.                  T

  Δ                  Δ

J.     K.         C.    O

JK≅ CO, JL≅CT, KL≅OT

∠J≅∠C, ∠L≅∠T, ∠K≅∠O

ΔTRI≅ΔAGN because corsponding parts are congruent

∠I≅∠N because are coresonding angles

.................... :)) equation->>> y=-1-4

Answer: y = -7

Step-by-step explanation:

y = mx  +  b

y = -1(3) + -4

y = -3  - 4

y =  -7

Answer:

39

Step-by-step explanation:

- a^2 + b^2 = c^2 (hypotenuse)

- (80)^2 + b^2 = (89)^2

- rearrange to get

[tex]\sqrt{(89)^2-(80)^2} = b\\b= 39[/tex]

Answer:

6.

Step-by-step explanation:

Answer: The 6, in 12.86, is in the hundredths place.

Hope this helps!

Answer:

80 miles per hour

Answer:

1 7/12

Step-by-step explanation:

Just subtract the fractions if you cant do it by head or paper use a calc so 5 3/4 - 4 1/6= 1 7/12 samuels dad is 1 7/12 taller than samuel.

Answer:

Step-by-step explanation:

idj

Answer:

15x2 + 45x - 14

Step-by-step explanation:

Equation at the end of step 1

 (5 • (3x2 +  9x)) -  14

STEP  2:

STEP  3 :

Pulling out like terms

3.1     Pull out like factors :

  3x2 + 9x  =   3x • (x + 3)  

Equation at the end of step  3 :

 15x • (x + 3) -  14

STEP 4 :

Trying to factor by splitting the middle term

4.1     Factoring  15x2+45x-14  

The first term is,  15x2  its coefficient is  15 .

The middle term is,  +45x  its coefficient is  45 .

The last term, "the constant", is  -14

Answer:

Option 4, Line M is a horizontal line with a slope of zero

Step-by-step explanation: