Green Leaf Lawn Care had 64 customers under contract at the start of the year. The company's owner expects his new radio advertisements will attract 2 new customers every week.
the radio commercials produce new customers exactly as the owner expects, which of these equations represents the number of customers ( Green Leaf Lawn Care will have after w weeks

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

Answer:

It is 63 or 63/1. Billy used change in x over change in y, and the correct formula for slope is the change in y over the change in x.

He might have done it backwards.

1/63

and could be 63 miles in 1 hour

63/1.

Because the graph looks good. (i think)

Answer:

9/16

Step-by-step explanation:

Answer:

6.84 weeks

Step-by-step explanation:

$719.95 - $178.95 = 541$

541/79 = 6.84 weeks

Answer: 13.99

Step-by-step explanation:

Using sine rule

((sin 90)/18)= ((sin (180-(90+39)))/x)

((sin 90)/18)=((sin 51)/x)

(1/18)=(0.7771/x)

Cross multiply

x= 0.7771*18

x= 13.99

Step-by-step explanation:

(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]

Answer:

Step-by-step explanation:

I think it’s a

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

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Step-by-step explanation:

Volume of sphere =4/3pir3

=4/3 X pie X rXrXr

R=diameter /2=10/2=5 inches

V=4/3 X 22/7 X 5 X 5 X 5

= 11000/21=523.8in3

Answer:

18.5

Step-by-step explanation:

Answer:

100% until the question is incomplete

Answer:

Step-by-step explanation:

Here is the exact form and decimal form!

Answer:-15

Step-by-step explanation:

The value of x in the given expression (3x + 17) (8x - 46)​ is -17/3 or 23/4

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (3x + 17)(8x - 46)​, we need to find the value of x,

(3x + 17)(8x - 46)​

To find the value of x, equate the expression to 0,

(3x + 17)(8x - 46)​ = 0

3x+17 = 0

x = -17/3

or

8x-46 = 0

8x = 46

x = 23/4

Hence, the value of x is -17/3 or 23/4

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Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

Answer:

3/8 because 3/8 as a percent is 37.5 percent

Step-by-step explanation:

Answer:

3/8 is greater

Step-by-step explanation:

3/8 as a percent is 37.5

37.5% > 25%

Therefore 3/8 is greater

Tip:

Covent one to the other unit

like 3/8 to a percent or 25% as a fraction.

But if you are looking for which is greater in fraction form then 25%

Answer:

You are correct!

Answer:

9

Step-by-step explanation:

2-11 = -9

3-4 = -1

-9/-1 = 9

Answer:

232 miles had travelled when Houa fell asleep.

Step-by-step explanation:

1. .29 x 800 = 232

If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Houa's family took a road trip to the Grand Canyon.

Houa fell asleep 29% of the way through the trip.

If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.

29% can be converted to decimal by dividing with 100

29/100=0.29

Now multiply 0.29 with 800

0.29×800

232 miles

Hence, 232 miles had they travelled when Houa fell asleep.

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Answer:

-9

Step-by-step explanation:

x+3= -6

×= -6-3

x= -9

mark me branliest

Answer:

emojissss  

Step-by-step explanation:

:3 =.= XD :7

Answer:

Step-by-step explanation:

$25.30

and

$68.04

Answer:

25.3 and 77.5 i think

Step-by-step explanation:

Answer:

The sum of two angle is 180 (supplementary)

given angle = 3:1

first angle =3x

2 nd angle=1x

3x+1x =180

4x =180

x = 180/ 4

x = 45

so first angle =3x   x = 45

                   = 3×45

                    = 135 degree

2nd angle = 1x

               =45 degree

ans

Both angles are 135 and 45

Step-by-step explanation:

Answer:

[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]

Step-by-step explanation:

Diameter of cone = 16 in

Radius of cone r = 16/2 = 8 in

Height of cone h = 17.6 in

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]

Answer:

Number of cupcakes = 2

Number of cookies = 5

Step-by-step explanation:

Let [tex]x[/tex] denotes the number of cupcakes and [tex]y[/tex] denotes the number of cookies.

Abigail bought $11.25 worth of cupcakes and cookies such that each cupcake costs $3.75 and each cookie costs $0.75.

[tex]3.75x+0.75y=11.25[/tex]

At [tex]x=0;[/tex] [tex]0.75y=11.25[/tex]

[tex]y=\frac{11.25}{0.75} =15[/tex]

At [tex]y=0;3.75x=11.25[/tex]

[tex]x=\frac{11.25}{3.75}=3[/tex]

So, plot the points [tex](0,15)\,,\,(3,0)[/tex]

Also,

Abigail bought a total of 7 cupcakes and cookies altogether.

[tex]x+y=7[/tex]

At [tex]x=0;0+y=7[/tex]

[tex]y=7[/tex]

At [tex]y=0;x+0=7[/tex]

[tex]x=7[/tex]

So, plot points [tex](7,0)\,,\,(0,7)[/tex]

From the graph, solution is [tex](2,5)[/tex]

Number of cupcakes = 2

Number of cookies = 5

Answer:

1/16

Step-by-step explanation:

-2^-4 = 1/(-2)^4

5^0 = 1

1/(-2)^4 = 1/16

Answer:

14 ; 40

Step-by-step explanation:

Number of unpopped popcorn = 1600 kernels

Kernel per popped corn = 120

Number of boxes needed :

Number of unpopped / kernel per popped corn

1600 / 120

= 13.3333

Hence, number of boxes needed = 14

Number of popped kernel. In partially filled box :

1600 - (120 * 13)

1600 - 1560

= 40

Answer:

2x+y= -2, x + 2y = 2

x+y=3 , 2x-8y = 19

6x^2+3y^2=12 , x +y = 2

Answer:

1 button.

Step-by-step explanation:

Total buttons = 40

Total red buttons = 6

Total Buttons removed =25

Buttons left = 40–25 = 15

Let the red buttons left = x

1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)

2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)

Comparing Statement 1.) & 2.) , We get

x/15 = 1/3

x = 5

So the red buttons left = 5

Total red buttons= 6

Red buttons removed = 6–5= 1

Hence, only 1 button was red in the 25 removed buttons

There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.

Probability is the measure of the likelihood of an event occurring.

Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.

[tex]p(A) = \frac{n(A)}{n(S)}[/tex]

p(A) is the probability of event A

n(A) is the number of outcomes with respect to A

n(S) is the total number of possible outcomes

Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.

So the total number of buttons in the bag = 40

It is given that 25 buttons are removed from the bag randomly

thus, the remaining buttons in the bag = 40 - 25 = 15

It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3

So, for finding the number of red buttons in the bag after removing we can write,

n(A) = p(A) × n(S)

here, A is the event of drawing the number of red buttons and p(A) = 1/3 and  n(s) = 15 (after removing)

Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5

So, the number of red buttons left in the bag = 5

then, the red buttons removed from the bag = 6 - 5 = 1

Therefore, only 1 red button is removed from the bag.

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Step-by-step explanation:

a- 7 + X

b- 2x is the equation for these terms I think so

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

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