At the start of a hike, a hiker was at an elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 feet per minute. a. Write an inequality that represents t, the number of minutes after the start of the hike, when the hiker’s elevation was higher than 5 feet above sea level.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]ABD = 0.18x +67[/tex]

[tex]CBD = 0.07x + 48[/tex]

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

[tex]0.18x + 67 = 0.07x + 48[/tex]

Collect like terms

[tex]0.18x - 0.07x= - 67 + 48[/tex]

[tex]0.11x= -19[/tex]

Solve for x

[tex]x = -\frac{19}{0.11}[/tex]

[tex]x = -172.72[/tex]

Assume ABD and CBD are supplementary

The solution is:

[tex]ABD + CBD=180[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]

[tex]0.25x = 65[/tex]

Solve for x

[tex]x = \frac{65}{0.25}[/tex]

[tex]x = 260[/tex]

Assume ABD and CBD are complementary

The solution is:

[tex]ABD + CBD=90[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]

[tex]0.25x = -25[/tex]

Solve for x

[tex]x = \frac{-25}{0.25}[/tex]

[tex]x = -100[/tex]

Answer:

$115 each

Step-by-step explanation:

(800 - 340)/4 = 115

Answer:

70 problems are correct

Step-by-step explanation:

Answer:

Explanation:

Answer:

[tex]y=\frac{1}{12} cup\ of\ suger[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=3(3/4)=9/12[/tex]

Amount used [tex]x=1(2/3)=2/3[/tex]

Generally the equation for sugar lift [tex]y[/tex] is given as is mathematically given by

 [tex]y=n-x[/tex]

 [tex]y=\frac{9}{12} -\frac{2}{3}[/tex]

 [tex]y=\frac{1}{12}[/tex]

Answer:

18π cm²

Step-by-step explanation:

The area of the shaded region = Area of Sector

Radius, r =

The value of θ = 80°

Recall :

Area of Sector :

A = θ / 360 * πr²

A = (80 / 360) * π * 9²

A = 0.222222 * π * 81

A = 18π cm²

Answer:

iput the equation into my calculator and i graphed it and found the roost

Step-by-step explanation:

the answer is d

Answer (assuming that the equation can be written in point-slope form):

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]

Step-by-step explanation:

Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]    

4th square = 16

2nd square = 4

16×4

=64

Answer:

D

Step-by-step explanation:

when dealing with percentages move the decimal back two to get its absolute value

Answer:

3:4

Step-by-step explanation:

9:12

divide both by 3 to get

3:4

Answer:

3 : 4

Step-by-step explanation:

9 : 12

divide each side by three

3 : 4

Answer:

oh wait i got it! those are oppisite from eachother so theyre angle is the same. the answer would be 59°

Answer:

b=59º

Step-by-step explanation:

Vertical angle theorem states that if angles are vertical, they are congruent.

Answer:

1) Already finished

2)0.28,7/25

3)0.78,39/50

4)0.96,24/25

5)0.5,1/2

6)0.3,30%

7)0.4,40%

8)0.25,25%

9)0.55,55%

10)0.2,20%

11)7/20,35%

12)3/4,75%

13)4/5,80%

14)1/25,4%

15)13/20,65%

Step-by-step explanation:

Answer:

46 degrees

Step-by-step explanation:

you know that if you add 134 and x  it will equal a straight line or 180 degrees. So set it up as an addition problem.

134 + x =180   subt. 134 from both sides

x=180-134

x=46 degrees

Answer:

46

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

.eooekekenenenenesususu

Answer:

a = 2, b = 3

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

3a + 11 = a + 15 ( subtract a from both sides )

2a + 11 = 15 ( subtract 11 from both sides )

2a = 4 ( divide both sides by 2 )

a = 2

and

3b + 5 = b + 11 ( subtract b from both sides )

2b + 5 = 11 ( subtract 5 from both sides )

2b = 6 ( divide both sides by 2 )

b = 3

Answer:

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

a). A(-6, -4), B(-3, -1)

Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]

                                             = [tex]\sqrt{9+9}[/tex]

                                             = 3√2

                                             = 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]

                                              = [tex]\sqrt{58.5}[/tex]

                                              = 7.65

                                              ≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

    Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]

                    = [tex]\sqrt{200}[/tex]

                    = 10√2

                    = 14.14

                    ≈ 14.1 units

Answer:

y≥50

(y is greater than or equal to 50 dollars)

Step-by-step explanation:

We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

I had this question on a quiz. The answer is B if I remember correctly.

Answer:

From a standard deck of cards, one card is drawn. What is the probability that the card is black and a jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26 A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen or an ace.

Step-by-step explanation:

Answer:

c as it is on a straight line

Answer:

C. 2x + 58 = 180

Step-by-step explanation:

Not 100% sure but I hope this helps you!

Answer and Step-by-step explanation:

Section the figure into two 3D shapes.

We get both figures to be a rectangular prism.

The Volume of a rectangular prism is length times width times height.

V (of top Rectangular Prism) = 2 × 2 × 4 = 16

V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48

Now, we add those two volumes together to get the volume of the irregular figure.

16 + 48 = 64.

The volume of the irregular figure is 64 [tex]cm^3[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

42ft squared

Step-by-step explanation:

formula:

a = b x h

Answer:

42 feet squared

Step-by-step explanation:

the formula of a parallelogram is a=bh.Plug in the numbers given and you will end up with 42

Answer:

4 small

8 large

Step-by-step explanation:

s - small mug

l - large mug

Yesterday she had 200 at start of day

at end of day 188 left, so she sold 12 mugs

(1)   s + l = 12

(2)  2.50s + 5.75l = 56.00

Solve for l in (1)

l = 12 - s

substitute in l = 12 - s into (2)

2.50s + 5.75(12-s) = 56.00

2.50s + 69.00 - 5.75s = 56.00

-3.25s + 69.00 = 56.00

-3.25s = -13.00

s = 4

to find l substitute s = 4 into (1)

4 + l = 12

l = 8

Answer: It would be on the first quadrant plane or I quadrant

Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps