A zoo is located on a rectangular area of land the length of the rectangular is 2 1/4 miles the width of the rectangular is 1 1/2 miles what is the total area of the zoo

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

Answer:

25.1327412287

Step-by-step explanation:

Answer:

w ≥ 1

Step-by-step explanation:

Given

5w ≥ - 6w + 11 ( add 6w to both sides )

11w ≥ 11 ( divide both sides by 11 )

w ≥ 1

Answer:

BD = 22, DC = 11√3

Step-by-step explanation:

In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 45 + 90 = 180

∠A + 135 = 180

∠A = 45°

Using sine rule to find BC:

[tex]\frac{BC}{sinA}=\frac{AB}{sinC} \\\\\frac{BC}{sin45}=\frac{11\sqrt{2} }{sin90} \\\\BC=\frac{11\sqrt{2}*sin45 }{sin90} \\BC=11[/tex]

In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:

∠D + ∠B + ∠C = 180° (sum of angles in a triangle)

∠B + 30 + 90 = 180

∠B + 120 = 180

∠B = 60°

Using sine rule to find BD:

[tex]\frac{BD}{sinC}=\frac{BC}{sinD} \\\\\frac{BD}{sin90} =\frac{11}{sin30} \\\\BD=\frac{11*sin90}{sin30}\\\\BD=22[/tex]

Using sin rule to find DC:

[tex]\frac{DC}{sinB}=\frac{BC}{sinD} \\\\\frac{DC}{sin60} =\frac{11}{sin30} \\\\DC=\frac{11*sin60}{sin30}\\\\DC=11\sqrt{3}[/tex]

Answer:

the measurement of x is 30 degrees

Answer:

c and d are the correct answers

Answer:

Step-by-step explanation:

3/5 = 0.6

1 - 0.6 = 0.4 students left

Multiply the amount of students remaining by the fractional amount that take German

0.4  x  1/4   =   0.1

1 - 0.6 - 0.1 = 0.3

0.3 x 100 = 30%

Therefore 30% of students take French

Answer:

4(x+7)=38

4x+28=38

4x=38-28

4x=10

(divide by 4)

x=2whole number 2/4

=2whole number 1/2

or x=2.5

Answer:

181 1/4 square feet

Step-by-step explanation:

The square feet of carpet is needed to cover the floor would b equal to the area of the floor

area of a rectangle = length x breadth

12 1/2‘ x 14 1/2 = 181 1/4 square feet

Answer:

D) 22

Step-by-step explanation:

Since it gives you two rays just set them equal and solve for X.

6x - 14 = 3x +4

      +14        +14

6x = 3x + 18

-3x   -3x

3x = 18

/3    /3

x = 6

Then plug x into either one of the equations

6(6) - 14

36 - 14

22

Answer:

D. 22

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

IT is d bc Some Bollywood films are popular with non Indian audiences.

Answer:

Because he has to send one more parcel than the estimation.

Step-by-step explanation:

Answer:

it is D hope this helps

Step-by-step explanation:

Answer: B: b=1/2

Step-by-step explanation: 1/4+2/4=3/4

2/4=1/2 so B or b=1/2

plz mark me brainliest

How to Mark Brainliest:

look at the bottom right of an answer there should be a crown if not look if there are 2 players if yes reload the page if no wait for someone else to answer then reload. tap the crown to mark brainliest.

Answer:

37.3

Step-by-step explanation:

Answer:

37.29

Step-by-step explanation:

Answer:

x^2 - 4x - 3 + 28/x+4

Step-by-step explanation:

The Answer is:  x = 3

Answer: A. x = 3 is the right one!

Answer:

um with what plz tell for I can help you

Answer:

105

Step-by-step explanation:

Hello There!

(Let x = angle T)

if you didn't know an exterior angle of a triangle is equal to its two opposite interior angles

So basically

155 (being the exterior angle) is equal to 50 + x (being the opposite interior angles)

so x = 155 - 50

155 - 50 = 105

so we can conclude that x (angle T) equals 105

Answer:

105 degrees

Step-by-step explanation:

The angle measure of the exterior angle is equal to the sum of the two nonadjacent interior angles (angle V and angle T).

155 - 50 = 105

Answer:

19

Step-by-step explanation:

straight line=180°

180-123=57

57/3=19

19*3=57

Answer:

There is no image. Please repost.

Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

Question:

The cost of a car rental is ​$42 per day plus 20 cents per mile. you are on a daily budget of ​$98. write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. use pencil and paper. find 2 other​ two-step inequalities with the same solutions.

Answer:

(a) The greatest distance is 280 miles

(b) [tex]30 + 0.10 m \le 58[/tex] and [tex]5 m-400 \le 1000[/tex]

Step-by-step explanation:

Given

[tex]d = \$42[/tex] ---->daily rate

[tex]m = 20\ cents[/tex] -- amount per mile

[tex]m = \$0.20[/tex] --- in dollars

[tex]Budget = \$98[/tex]

Solving (a): Inequality for the scenario

Because you are on a budget, it means that the spending can not exceed $98 (i.e. less than or equal to $98).

So, the inequality is:

[tex]42 * days + 0.20 * miles \le Budget[/tex]

Represent days with d, miles with m and substitute 98 for Budget

[tex]42d + 0.20m \le 98[/tex]

Because it is daily, then d = 1

[tex]42 * 1+ 0.20 * m \le 98[/tex]

[tex]42+ 0.20m \le 98[/tex]

Collect like terms

[tex]0.20m \le 98 - 42[/tex]

[tex]0.20m \le 56[/tex]

[tex]m \le \frac{56}{0.20}[/tex]

[tex]m \le 280[/tex]

The greatest distance is 280 miles

Solving (b): Two other inequalities with the same solution as: [tex]m \le 280[/tex]

To do this, all you need to do is to perform the same operation on both sides of the inequality.

[tex]m \le 280[/tex]

Multiply both sides by 0.10

[tex]0.10 * m \le 280 * 0.10[/tex]

[tex]0.10 m \le 28[/tex]

Add 30 to both sides

[tex]30 + 0.10 m \le 28+30[/tex]

[tex]30 + 0.10 m \le 58[/tex] --- equation (1)

Another possible equation is as follows:

[tex]m \le 280[/tex]

Multiply both sides by 5

[tex]5 * m \le 280 * 5[/tex]

[tex]5 m \le 1400[/tex]

Subtract 400 from both sides

[tex]5 m-400 \le 1400-400[/tex]

[tex]5 m-400 \le 1000[/tex] --- equation (2)

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

Answer:

What the other guy said

Step-by-step explanation:

Answer:

it should be b i think

Step-by-step explanation:

Answer:

It was C

Step-by-step explanation:

I took the test