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Answer:

It is hard to read what you actually wrote, but i guess this is:

Distance to San Antonio = 2*5*x mi

Distance to Houston = 4*12*x mi

Distance from Houston to San Antonio = 120mi

Then we must have that:

2*5*x mi + 4*12*x mi = 120mi

(2*5 + 4*12)*x mi = 120mi

(10 + 48)*x mi = 120mi

x mi =120/58 mi = 2.06 mi

Now we can replace it in the above equations:

Distance to San Antonio = 2*5*2.06 mi = 20.6 mi

Distance to Houston = 4*12*2.06 mi =  98.88 mi

Answer:

2431.311498

Step-by-step explanation:

Given the model:

A(x)= 800x^4 + 350x^3 + 500x^2 + 600x

x = growth factor = (1 + rate)

If rate = 3% ; x = (1 +. 3%) = (1 + 0.03 = 1.03

Hence,

A(1.03)= 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)

= 2431.311498

This is the amount in account after 4 years, if the interest rate is 3% and growth rate = (1 + rate)

Applying the formula, it is found that the total amount in the account will be of $2,431.3.

The amount in the account after 4 years is given by:

[tex]A(x) = 800x^4 + 350x^3 + 500x^2 + 600x[/tex]

In which the growth factor is x = 1 + r, in which r is the interest rate, as a decimal.

In this problem, interest rate of 3%, hence [tex]r = 0.03, x = 1 + r = 1 + 0.03 = 1.03[/tex].

Then:

[tex]A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03) = 2431.3[/tex]

The total amount in the account will be of $2,431.3.

A similar problem is given at https://brainly.com/question/22995738

Answer:

The value of x is 16

Step-by-step explanation:

x=16

Answer:

7

Step-by-step explanation:

If 2 gallons gets you 26 miles, then you get 13 miles per gallon. If you need to go 91 miles, you divide that by the 13 per gallon, and you get 7.

The coordinates of point B will be ( 29,-15).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that point A is (5, 7), point B is (x, y). The midpoint of AB is (17, -4).

The coordinate of the point B is calculated as,

17 = ( 5 + x ) / 2

5 + x = 34

x = 34 - 5

x = 29

( 7 + y ) / 2 = -4

7 + y = -8

y = -8 - 7

y = -15

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Answer:

what line??

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The cubic root of 49 is 3.66, so the dot should go between 3 and 4, a little closer to 4 than to 3.

She thought the problem was square root of 49 which is 7 and placed a dot on the 7.

Answer:

b

Step-by-step explanation:

Answer:

Y=4/5x-3

3=4/5x-y

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.

Answer:

y = 7/2 -2

Step-by-step explanation:

if the slope of the first problem is -2/7 then its perpendicular is 7/2 (the exact opposite) and since the y- intercept is the b in Y= mx +b the intercept of the equation you’re trying to find is -2

Answer:

Option B: This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda.

Step-by-step explanation:

Maximization of utility of the goods given is defined as the satisfaction or benefit La Toya derived based on the amount of money she spent on the corn chips and bottles of soda.

Now, for us to know if she is maximizing utility, we need to know the price of the goods and also if she spent all the money she allocated for the corn chips and bottle of soda. This would in turn help us to know how she spent her money and if the expenses she made was most beneficial to her.

Thus, the correct answer is Option B

Answer:

2

Step-by-step explanation:

Answer:

5-2x=25

5-25=2x

-20=2x

x=-10

Step-by-step explanation:

Answer:

5 - 2 = 3

Step-by-step explanation:

Start with 5. Take away 2 from 5, and you get 3.

Hope this helped, if not, don’t hate.

Answer:

slope=0/4

Step-by-step explanation:

[tex]\frac{-3 + 3}{8-4}[/tex]

0/4

Answer:

-3 - (-3) / 8 - 4 = 0/4 = 0

Step-by-step explanation

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and click to thanks because i need points.

and need to ask more questions

here is your answer

The measure of ∠5 is 64°.

In other words: m∠5 = 64°.

Answer/Step-by-step explanation:

Given that P varies directly with r, the equation for this direct variation would be:

[tex] P = rk [/tex],

Where,

P = power

r = radius

k = constant of variation.

If P = 550, when r = 11, constant of this direct variation is calculated as follows:

Plug in the values of P and r into the variation equation to find k.

[tex] 550 = 11k [/tex]

Divide both sides by 11

[tex] \frac{550}{11} = {11k}{11} [/tex]

[tex] 50 = k [/tex]

Constant of variation = 50

To find the radius (r) of the gear whose power (P) = 715, substitute P = 715 and k = 50 in the variation equation.

[tex] P = rk [/tex]

[tex] 715 = r*50 [/tex]

[tex] \frac{715}{50} = \frac{50r}{50} [/tex]

[tex] \frac{715}{50} = \frac{50r}{50} [/tex]

[tex] 14.3 = r [/tex]

r = 14.3

Answer:

The average rate of descent over the last 3 hours is 1000 ft/h.

Step-by-step explanation:

Rate of Change

It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.

The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).

The rate of change can be calculated with the slope of the line, which formula is:

[tex]\displaystyle m=\frac{h_2-h_1}{t_2-t_1}[/tex]

Let's pick two points (7,4000) (10,1000):

[tex]\displaystyle m=\frac{1000-4000}{10-7}=\frac{-3000}{3}=-1000[/tex]

[tex]m=-1000\ ft/h[/tex]

Note the rate of change is negative, which means the height is decreasing.

The average rate of descent over the last 3 hours is 1000 ft/h.

Answer:

I believe the answer would be 10/40. First, I simplified all of the given rations. You do this by finding the two numbers greatest common factor. For example, 3/12, 3 goes into 3 once and 3 goes into 12 four times. So that ratio would be 1/4. If you continue the pattern you would get 1/4 for all of them. Therefore, 10/40 would be correct since it's ratio would also be 1/4.

Step-by-step explanation:

Answer: The coordinates of M would be (3,2).

Step-by-step explanation: I don't know how to explain but I'm 100% sure this is the answer. Your welcome :)

Answer:

$ 175

Step-by-step explanation:

Create an equation:

5000 = ax + 2900

a > 75

x = 12 months

5000 = 12a + 2900

12a = 2100

a = 175

Answer:

Approximately 41 students can attend the inauguration

Step-by-step explanation:

Let x denotes number of students who can attend the inauguration.

Cost per student for food and lodging = $ 750

So,

Total cost = $ 750 x

Also,

Amount of rent = $ 11,500

As Barack Obama High School raised $42,350 for travel costs to travel to the 2021 inauguration in Washington D.C,

[tex]750x+11,500=42,350\\750x=42,350-11,500\\750x=30,850\\x=\frac{30,850}{750}\\ x=41.1[/tex]

So, approximately 41 students can attend the inauguration

Answer:

[tex]a_n=2,\:a_n=a_{n-1}-5[/tex]

Step-by-step explanation:

If you map the sequence out, you get the following values:

a = 1, a(n) = 2

a = 2, a(n) = -3

a = 3, a(n) = -8

As you can see, the first term is 2 and the sequence is decreasing by 5 each time. Therefore, the answer is D.

Answer:

Person above is right i just did the quick check too

The answer is D

Answer:

bro what

Step-by-step explanation:

yeha

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the maths linear algebra,

here, we solve as,

6 = -r/3

=> -r = 6×3

hence, r = -18

Answer:

Here is the answer

Step-by-step explanation:

∠1 and ∠6 are adjacent because they share the same vertex and the same common side.

∠2 and ∠5 are vertical angles since they have pairs on opposite sides of the angle.

∠3 and ∠6 have none of the above.

∠5 and ∠3 are a linear pair because the angles are opposite of each other.

Answer:

the slope intercept formula would be: y=3/4x-3. Hope this helps!

Step-by-step explanation:

Answer:

It is one. I believe, sorry if i'm wrong.

Step-by-step explanation:

Answer:

y= x +1

Step-by-step explanation:

You could use the slope formula y2-y1/x2-x1, what I did was I took the og equation y=x and I noticed it was vertically shifted by 1. Thus, y=x+1

Answer:

Yes

Step-by-step explanation:

The pythagorean theroem is: A^2 + B^2 = C^2

I tried this and it works so yes, the right traingle can be made.

The 2 legs are, 64 and 36, while the hyptenouse is 100.

Answer:

17 years 2months

Step-by-step explanation:

Beacause the last girl is young