Find the slope of the line that passes through the points
(7, 2) and (11,9).

Volume is measured in cubic units.

The Pyramid is cut in half, so the ratio of the volume would be 1/2^3 units which simplifies to 1/8

The ratio is 1/8

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:

There is no image. Please repost.

Answer:

SAS

Step-by-step explanation:

Bro it's right

Answer:

the measurement of x is 30 degrees

Answer:

c and d are the correct answers

Answer:

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

Step-by-step explanation:

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given value:

[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]

Using formula:

[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]

    [tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]

Calculating the percent of the sales which is less than or equal to 84 inches:

[tex]\to P(Z \leq 1.6)=0.9452[/tex]

                      [tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]

Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.

Answer:

it is D hope this helps

Step-by-step explanation:

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:

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:

Step-by-step explanation:

the factors and prime factorization of 7 and 13. The biggest common factor number is the GCF number. So the greatest common factor 7 and 13 is 1.

Answer:

hypotenuse =

[tex] \sqrt{a {}^{2} } + b {}^{2} [/tex]

=

[tex] \sqrt{} 24 {}^{2} + 10 {}^{2} [/tex]

= 26mi

Answer:

8.9

Step-by-step explanation:

Answer:

the answer will be 8.9 if im not wrong

Answer:

it should be b i think

Step-by-step explanation:

Answer:

It was C

Step-by-step explanation:

I took the test

Answer:

37.3

Step-by-step explanation:

Answer:

37.29

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

Step-by-step explanation:

2x + 6 > 84

2x > 78

x > 39

is the answer

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:

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: 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.

Question:

The recursive function [tex]f(0) = 1[/tex], [tex]f(n) = f(n-1) + 2n[/tex] represents the nth term of a sequence. Determine the explicit function

Answer:

[tex]f(n) = n^2 + n+1[/tex]

Step-by-step explanation:

Given

[tex]f(0) = 1[/tex]

[tex]f(n) = f(n-1) + 2n[/tex]

Required

Write an explicit formula

Let n = 1

[tex]f(1) = f(1-1) + 2*1[/tex]

[tex]f(1) = f(0) + 2[/tex]

[tex]f(1) = 1 + 2 = 3[/tex]

Let n = 2

[tex]f(2) = f(2-1) + 2*2[/tex]

[tex]f(2) = f(1) + 4[/tex]

[tex]f(2) = 3 + 4 = 7[/tex]

Let n =3

[tex]f(3)=f(3-1) + 2 * 3[/tex]

[tex]f(3)=f(2) + 6[/tex]

[tex]f(3)=7+ 6 = 13[/tex]

Let n = 4

[tex]f(4) = f(4 - 1) + 2 * 4[/tex]

[tex]f(4) = f(3) + 8[/tex]

[tex]f(4) = 13+ 8 = 21[/tex]

So, we have:

[tex]f(1) = 3= 1 + 2 * 1=1+0*1*2*1[/tex]

[tex]f(2) = 7= 3 + 2 * 2=1+1*2+2*2[/tex]  

[tex]f(3) = 13= 7 + 2 * 3= 1+2*3+2*3[/tex]

[tex]f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4[/tex]

Following the above pattern:

[tex]f(n) = 1 + (n - 1) * n + 2 * n[/tex]

[tex]f(n) = 1 + n(n - 1) + 2n[/tex]

Open bracket

[tex]f(n) = 1 + n^2 - n + 2n[/tex]

[tex]f(n) = 1 + n^2 + n[/tex]

[tex]f(n) = n^2 + n+1[/tex]

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:

$165

Step-by-step explanation:

Dinner bill = $132

Sales tax = 10% of dinner bill

Tip left = 15% of dinner bill

Amount of sales tax :

10% of $132

0.1 * $132 = $13.2

Amount of tip left :

15% * $132

0.15 * $132 = $19.8

Total bill :

Dinner cost + sales tax + tip

$132 + $13.2 + $19.8

= $165

Answer:

c)0.65

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

1.2 + 0.65 = 1.85

1.85 + 0.65 = 2.5

2.5 + 0.65 = 3.15

And so on...