Write a story that could represent this math problem.

Answer:

A

Step-by-step explanation:

-75=-25a

Divide both sides by -3:

3=a

a=3

The answer is choice A

Answer:

The distance from the boat to the foot of the lighthouse is 359.36 ft

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that, From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea is 24.

The whole situation is representing a right triangle (refer to figure)

Let  the distance from the boat to the foot of the lighthouse be x

We know that, angle of depression = angle of elevation

Then, using formula of height and distance,

tan 24° = 160 / x

x = 160 / tan 24°

x = 359.36

Hence,  the distance from the boat to the foot of the lighthouse is 359.36 ft

For more references on height and distance, click;

https://brainly.com/question/15939509

#SPJ2

Answer:

Yes, they will have enough.

Step-by-step explanation:

1. $499.00 + 7% = $533.93

2. $225 x 2 = $550

3. $550 - $533.93 = $16.07 left to spend

Answer:

C. The value of z has to be greater than 1

Step-by-step explanation:

[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]

Answer:

The distance between points A and B is 3 units

Step-by-step explanation:

We need to find distance between points on the number line.

The points given are:

A = -1 , B = 2

The formula used is: [tex]Distance = |b-a|[/tex]

Putting values of a and b and finding answer:

[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]

So, The distance between points A and B is 3 units

Answer:

The answer is;

54.4

Step-by-step explanation:

The given parameter are;

Triangle ΔFGH = Right triangle

The length of segment [tex]\overline {FH}[/tex] = 48

The measure of ∠HFG = 28°

The measurement required = The measure of segment [tex]\overline {FG}[/tex] = x

The measure of ∠FHG = 90° angle opposite hypotenuse side of a right triangle

Therefore, ∠FGH = 180° - ∠HFG - ∠FHG = 180° - 90° - 28° = 62°

∠FGH = 62°

By sine rule, we have;

[tex]\overline {FH}[/tex]/(sin ∠FGH) = [tex]\overline {FG}[/tex]/(sin(∠FHG)

By substituting the known values, we have;

48/(sin 62°) = x/(sin(90°)

sin(90°) = 1, therefore, we have;

x/1 = x = 48/(sin 62°) = 54.4 (by rounding the answer to the nearest tenth)

x = 54.4

Answer:

it will 16y-8x and common 8 is so 2y-x

Answer:

Total cost of the house = $725,880

Step-by-step explanation:

This can be calculated as follows:

Down payment = $345,000 * 20% = $69,000

Amount borrowed = $345,000 * (100% - 20%) = $276,000

The total amount of loan repaid can be calculated using the following formula:

A = p(1  + rt) .................... (1)

Where;

A = Total amount of loan repaid = ?

p = Principal or amount borrowed = $276,000

r = annual interest rate = 4.6% = 0.046

t = number of years = 30

Substitute the values into equation (1), we have:

A = $276,000 * (1  + (0.046 * 30)) = $656,880

The total cost of the house can now be calculated as follows:

Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880

Answer:

point

Step-by-step explanation:

because it's a point and it doesn't have a line.

Answer:

1 mile = 0.5 cm

Step-by-step explanation:

I hope this helps!

Hey again!

The answer to your question is 2 cm = 1 mile

We can solve this by doing 9/4.5, and we get 2. This means that every 2 centimeters in the scale drawing is equal to 1 mile in the actual.

Hope this helps!

Answer:

2 weeks and 4 days

Step-by-step explanation:

she is 63 pounds and she needs to get to 47 so  63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go

2 weeks and 4 days

Answer:

[tex]12x\leq 24[/tex]; [tex]x\leq 2[/tex]

Step-by-step explanation:

So you have 12 math problems that each take x amount of minutes, and have 24 minutes to finish them. Remember, you can't exceed the 24 minutes (but you are allowed to equal that time). So:

[tex]12x\leq 24[/tex]

Then you can simplify by dividing both sides by 2:

[tex]x\leq 2[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution:

Your problem → (3/11)-2 x (3/11)-5

(3/11)-2x(3/11)-5

=(3/11)-2x × (3/11)-5

=(3/11)-(6x/11)-5

=(3-6x-5×11)/11

=3-6x-55/11

=(-52-6x)/11

Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

Answer:

I think the answer is A, D, E, F, and G.

Tell me if i'm right or wrong please.

Answer:

adefg

Step-by-step explanation:

Answer:

167

Step-by-step explanation:

Given that :

Saturn chocolate bars are either packed in 5's or 12's

The smallest number of boxes required to pack 2005 bars ;

In other to arrive at smallest number of boxes, then we need to pack primarily in 12's

Number of boxes required for 12 packing :

2005 /12 = 167.08333 boxes (167, remainder 1)

Hence, smallest number of boxes to pack 2005 saturn chocolate bars is 167

Answer:

B. Lease

Step-by-step explanation:

Cash has value

A vehicle has value

A house has value

But a lease itself does not have value

Asset is something you own that has value

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Step-by-step explanation:

It's clear from the graph that the angles of the given triangles are different.

And for similarity of two triangles, at least two angles of the triangles should be congruent.

Therefore, both the triangles are not similar.

The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.

Answer:

2, 6, 6, 8, 8

Step-by-step explanation:

First, we know that the mean is the sum of the number divided by the amount, so if we take the answer we have, 6, and multiply that by the amount of number, 5, then we get 30.

Now we add the numbers in the ratio, so 1 + 3 + 3 + 4 + 4 = 15

15 x 2 = 30

This means we need multiply the numbers in the ratio by 2 to get

2 + 6 + 6 + 8 + 8 = 30

Answer:

2, 6, 6, 8, 8

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex], thus

[tex]\frac{sum}{5}[/tex] = 6 ( multiply both sides by 5 )

sum = 30

sum the parts of the ratio, 1 + 3 + 3 + 4 + 4 = 15 parts

30 ÷ 15 = 2 ← value of 1 part of the ratio, thus

3 parts = 3 × 2 = 6

4 parts = 4 × 2 = 8

Thus the 5 numbers are

2, 6, 6, 8, 8

Answer:

2,047,291,874,697,000,000,000,000

Step-by-step explanation:

that is the answer to the multiplication statement xD

Answer:

-8x - 6

Step-by-step explanation:

Combine like terms:  combining -12x + 4x results in -8x, and combining 6 and -12 results in -6.  Thus, we have

(-12x+6)+(4x-12) = -8x - 6

Answer: 1. 2 x^3 - 13 x + 15

              2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x

Step-by-step explanation:

Answer:

t = 6.031 seconds

Step-by-step explanation:

Roscoe hit a ball straight up at a speed of 96 ft/s.

His bat hit the ball at a height 3 ft above the ground.

We need to find how many seconds did the ball hit the ground.

Using equation of motion to find height of the ball.

[tex]h=-16t^2+96t+3[/tex]

When it hits the ground.

h = 0

[tex]-16t^2+96t+3=0[/tex]

It is a quadrctic equation where a = -16, b = 96 and c = 3

[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]

Neglecting negative value.

So, after 6.031 seconds the ball will hit the ground.

Given :

Roscoe hit a ball straight up at a speed of 96 ft/s.

His bat hit the ball at a height 3 ft above the ground.

To Find :

After how many seconds did the ball hit the ground.

Solution :

When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.

So, using equation of motion :

[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]

Now, time taken to reach ground from 3 feet of height is :

[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]

t = 0.03 s

Therefore, time taken is T = 19.2 + 0.03  = 19.23 seconds.

Answer:

The answer should be 40

Step-by-step explanation:

85+55=140

180-140=40