Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?

9514 1404 393

Answer:

  C.  y = 2x - 3

Step-by-step explanation:

The y-intercept (b) can be found from ...

  y = mx + b

  y - mx = b . . . . . subtract mx

Here, you are given (x, y) = (-1, -5) and slope m = 2.

  b = -5 -2(-1) = -5+2 = -3

The correct equation is ...

  y = 2x -3 . . . . . matches choice C

_____

On the graph, you can plot point (-1, -5) left of the y-axis 1 unit and down from the x-axis 5 units. The slope of 2 tells you the line will rise 2 units from there to a y-value of -3 when it runs 1 unit to the right to an x-value of 0. That point (0, -3) is the y-intercept, showing you that choice C is correct.

Answer:

A) 2/3

B) 5/2

C)5/2

D) 5/6

E) 9/5

F) 49/6 (LOWEST TERM IT URSELF PLS)

Answer:

m < -3 or m ≥ 1

Step-by-step explanation:

Answer:

1. 4x + 10

2. 3x + 22

Answer:

they need to save $630 in order to have enough for the trip

270 + 630 = $900

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

Answer:

Its simple : 3.1w

Answer:

3.1w

explanation

Answer:

200 + 50x

Step-by-step explanation:

depending on what x is, you multiply x by 50 and add 200, since 200 is the start up fee and the constant. the 50 dollars per month is a variable, since the more months you own the plan, the more money it would cost.

Answer:

You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.

Step-by-step explanation:

Angle 1 + angle 2 = 90

solve for x = ____

Plug the value into each expression to find the measure of each angle.

Answer:

D

Step-by-step explanation:

(2x+6)+(5x+14)=90

7x+20=90

7x=70

x=10

(2x+6)=26°

(5x+14)=64°

Answer:

By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

Farmer need 750.5 feet fencing for his triangular field.

"Triangle is  two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.

Formula used

Cosine rule

As per the diagram,

cosθ = (b² +c² -a²) / 2bc

cos 70° = 0.3420

According to the question,

Let AB = c , AC = b  are given sides of measure 120 feet and 325 feet respectively.

and BC = a

Angle between given sides be θ = 70°

Substitute the value in the formula we get,

cos70° = [ (325)² +(120)² - a²] / 2(120)(325)

⇒ 0.3420 = [ 120025 - a²] / 78000

⇒ 120025 -a² = 26676

⇒ a² = 93349

⇒ a = 305.5

Total fencing required for  triangular field = AB + BC +CA

                                                                      = 120 + 325 + 305.5

                                                                      = 750.5 feet

Hence, farmer need 750.5 feet fencing for his triangular field.

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Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

Answer:

-65

Step-by-step explanation:

h + 28 = -37

    -28    -28

        h = -65

Answer:

39 units

Step-by-step explanation:

when its a rectangle just multiply the two side lengths together to get the answer

Answer:

7.5

Step-by-step explanation:

5/6=x/9

cross multiply

6x=45

x=45/6

x=7 3/6 = 7 1/2 = 7.5

Answer:

Im not sure but i think its b or c

Step-by-step explanation:

I would probably mostly recommend b

Answer:

Step-by-step explanation:

8d=-72

d=-9

Answer:

(7, -4)

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

Hence the coordinate of B is at (7, -4)

Answer:

Step-by-step explanation:

Slope= -3/7

Y x intercept = -1/7

Answer:

the slope is -3/7

y int is -1/7

Answer:

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.

Step-by-step explanation:

Formula for the simple interest is,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

Here, P = Principal amount

r = rate of interest  

t = Duration of investment

Let Phyllis invested amount (at 5.25% rate of interest) = $x

Therefore, Interest on this amount,

Interest = [tex]\frac{5.25\times x}{100}[/tex]

             = $0.0525x

If he invested the rest amount $(13000 - x) at the rate of 5%,

Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]

                                                    = $(650 - 0.05x)

Interest earned on total amount = $672

Therefore, $0.0525x + $(650 - 0.05x) = $672.5

0.0025x + 650 = 672.5

0.0025x = 22.5

x = $9000

Rest amount = 13000 - 9000

                     = $4000

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.

Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

by four method

Step-by-step explanation:

1st by AAA

2nd by AA

3rd by SSS

4th by SAS

Answer:

Step-by-step explanation:

tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn

Answer:

63 boquets were sold in the afternoon.

Step-by-step explanation:

Divide 90 by 10 to get 9. Then multiply 9 by 3.

Answer:

23.1 pounds.

Step-by-step explanation:

Multiply 140 by 0.165.

Answer:

29,36,43

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

the numbers are being added by 7

1 + 7 = 8

8 + 7 = 15

and so on

Answer:17

Step-by-step explanation:

trust me its right, no cap

As per compound interest,  it would take 17 years for the value of the account to reach $2,550

If the invested amount is 'P', the rate of interest is r%, and the time of investment is 'n' years, then the compound interest after mentioned duration is = P[1 -  [tex]e^{rn}[/tex]]

Given, the invested amount (P) = $790.

Rate of interest (r) = 6.9% = 0.069.

Let, the amount is invested for 'n' years.

The value of the amount after 'n' years = $2550.

Now, as per compound interest:

A = P. [tex]e^{rn}[/tex]

⇒ 2550 = 790 [tex]e^{(0.069n)}[/tex]

⇒ [tex]e^{(0.069n)}[/tex] = (2550 ÷ 790)

⇒ [tex]e^{(0.069n)}[/tex] = 3.23

⇒ 0.069n = 1.172

⇒ n = 17

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