Find the slope of the line that passes through (4, 1) and (9, 8).

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer:

A

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A  

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

Step-by-step explanation:

sup

Answer:

log(53.75) ≈ 1.73

Step-by-step explanation:

Not sure if this was a question but I just put it into my calculator.

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

Answer:

radius = 10

(x-5)² + (y-11)² = 100

Step-by-step explanation:

The circumference is given, we get r = 20π/2π = 10

∴Equation of circle is (x-5)² + (y-11)² = 100

Answer:

hiii

Step-by-step explanation:

Answer:

$14.59

Step-by-step explanation:

commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.

Answer:Answer:

f(-2) = 2

f(0) = 3

f (4) = -1

Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is  

⇒ 2(y - 1) = x + 4

⇒ 2y - 2 = x + 4

⇒ 2y = x + 6

⇒  

Again, the equation of the line passing through the points (0,1) and (4,-1) is

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒  

Therefore, the function is defined as

for x ≤ 0 ........... (1) and  

for x > 0 ............ (2)

Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

Step-by-step explanation:

Answer:

Sorry this is late but here:

Domain: real numbers greater than or equal to -3

Range: equal to -4, 2, and 3

Step-by-step explanation:

I just did it on edge :D

Answer:

she forgot to multiply the radius by 2 in the formula (B)

Step-by-step explanation:

i got it right :)

Answer:

B.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Answer:

A and C

Step-by-step explanation:

A is equivalent to the expression because it just expanded the equation more a bit. It's distributed, but not solved. Like 3.2 (4p +8.5) is the same as 3.2 (4p) + 3.2 (8.5) since in both 3.2 is being distributed or multiplied by both numbers.

C is equivalent to the expression because it simplified the expression more. 3.2 times 4p is 12.8p. 3.2 times 8.5 is 27.2. The expression cannot be simplified.

Hope I helped! :)

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

[tex]OA = 2x + 9y[/tex]

[tex]OB = 4x + 8y[/tex]

[tex]CD = 4x - 2y[/tex]

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

[tex]AB = (c - a)x + (d - b)y[/tex]

Where:

[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]

[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]

This implies that:

[tex]a =2[/tex]      [tex]b = 9[/tex]     [tex]c = 4[/tex]   [tex]d = 8[/tex]  

So:

[tex]AB = (c - a)x + (d - b)y[/tex]

[tex]AB = (4 - 2)x + (8 - 9)y[/tex]

[tex]AB = 2x -y[/tex]

So, we have:

[tex]AB = 2x -y[/tex]

[tex]CD = 4x - 2y[/tex]

Calculate the slope (m) of [tex]AB\ and\ CD[/tex]

[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]

For AB

[tex]m_1 = \frac{-1}{2}[/tex]

[tex]m_1 = -\frac{1}{2}[/tex]

For CD

[tex]m_2 = \frac{-2}{4}[/tex]

[tex]m_2 = \frac{-1}{2}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

By comparison:

[tex]m_1 = m_2 = -\frac{1}{2}[/tex]

This implies that both lines have the same slope

Answer:

Step-by-step explanation:

Let the shake be x and the burrito y

x + 2y = 3040 ---- (1)

2x + y = 2840 ---- (2)

Make x the subject of formula in equation (1)

x + 2y - 2y = 3040 - 2y

x = 3040 - 2y

Substitute x = 3040 - 2y for x in equation (2)

2(3040 - 2y) + y = 2840

6080 - 4y + y = 2840

6080 - 3y = 2840

Subtract 2840 from both sides of the equation and add 3y to both sides of the equation

6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y

6080 - 2840 = 3y

3y = 3240

Divide both sides by the coefficient of x(which is 3)

[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]

y = 1080

Substitute y = 1080 for y in equation (2)

2x + 1080 = 2840

2x = 2840 - 1080

2x = 1760

[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]

x = 880

∴ The caloric content of one shake is 880 and for one burrito is 1080

Hope this helps

Answer:

x=48

Step-by-step explanation:

I hope I helped!!1

Question:

A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answer:

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Step-by-step explanation:

Given

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Required

Determine an expression for the area

Area is calculated as:

[tex]Area = Length *Width[/tex]

[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]

Expand

[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]

Collect like terms

[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Answer:

Step-by-step explanation:

Answer:

he is drive 6.4 hours ......

Answer:

(4.5, -0.5)

Step-by-step explanation:

dude just use desmos its so much easier :)

Answer:

Not Perpendicular

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?

Answer:

b is the correct answer

Step-by-step explanation:

hope this helps

Answer:

1,4.560

Step-by-step explanation:

I am not so sure.

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

Complete question :

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.

Answer:

31C + 19M ≤ 706

7500C + 4300M > 84000

Step-by-step explanation:

C = number of cars built

M = number of motorcycles built

Cost of building a car :

Cost = 31 + $7500

Cost of building a motorcycle,:

Cost = 19 + 4300

To build, C cars :

Number of employees = 31C

7500 * C = 7500C

To build, M motorcycles :

Number of employees = 19M

4300 * M = 4300M

Genghis budget :

Amount > 84000

Number of employees ≤ 706

Hence, the constraints

31C + 19M ≤ 706

7500C + 4300M > 84000

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer:

12285

Step-by-step explanation:

Answer:He buys 8 pounds

Step-by-step explanation:

You can either just add up the $3.25 until you get to the end-price, but that wont always work for every problem. The best way is to divide the 26 with the 3.25 in a written devision.

Answer:

he buys 8 pounds

Step-by-step explanation:

you add up until you get to 26 and then count how many times you added :)

Answer:

25

Step-by-step explanation: