Rosa works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Rosa is 7 miles from home, the distance between them is one mile more than Juan's distance from home. How far from home is Juan? ...?

Answers

Answer 1
This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)

(a+1)^2 = a^2 + 7^2

FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49

Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a = 

a = 24 mi, Juan's distance from home

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Related Questions

Millions for defense, but not one cent for trubute" was in reference to what?

Answers

the XYZ affairs
and it what said by Robert Goodloe Harper

Answer:

The Americans would pay millions of dollars to defend their country, but not 1 cent towards the bribe in response to the XYZ affair. Hope this helps! :)

Step-by-step explanation:

I'm smart

Which description best describes the graph?

Linear increasing
Linear decreasing
Nonlinear increasing
Nonlinear decreasing

Answers

If the direction of the curve from left to right is going up, then it is increasing.

If its going down, then it is decreasing.

If the curve is a straight line, then it is Linear.

If the curve is not a straight line, then it is non linear.

Answer:

linear increasing

Step-by-step explanation:

Megan is trying to remember her password for her computer. All she can remember is that it is 2 letters followed by 3 digits.

How many possible combinations are there for Megan's password?

A. 1,560

B. 1,676

C. 468,000

D. 492,804

E. 676,000

Answers

i think B. 1,676 
hope this helps

The number of permutations possible is 468000.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The first two places are occupied by letters.

The last 3 places are occupied by numbers.

The permutation for the first 2 places is: [tex]26P_2[/tex]

The permutation for the last 3 places is: [tex]10P_3[/tex]

The total permutation is:

[tex]26P_2 \times 10P_3\\\\=468000[/tex]

Hence the correct option is option C.

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How do you do long divison with 2 digits?

Answers

By 2 digits if you mean there is a digit on each side of a division symbol you will solve what you have there and then add a decimal point to the answer and then add zeros to bring down. Then you can repeat the long division process and will have an answer.

12+5x-8=12x-10
Help me solve it step by step

Answers

The first thing you want to do is combine like terms

4 + 5x = 12x -10

and make x on one side alone

14 = 7x


divide by 7 to make x alone

2 = x

The answer is 2

Compute the area of the triangle.
h = 8 cm
b = 14 cm
a = a0 cm2

Answers

A=.5(h)(b)
A=.5(8)(14
A=4(14)
A=56 cm^2

Answer:

The area of the triangle is, [tex]56 cm^2[/tex]

Step-by-step explanation:

Area of the triangle(a) is given by:

[tex]a = \frac{1}{2} \cdot bh[/tex]           ....[1]

where,

b is the base and h is the height of the triangle.

As per the statement:

Given:

h = 8 cm

b = 14 cm

Substitute in [1] we have;

[tex]a = \frac{1}{2} \cdot 8 \cdot 14 = 4 \cdot 14[/tex]

⇒[tex]a = 56 cm^2[/tex]

Therefore, the area of the triangle is, [tex]56 cm^2[/tex]

Two-thirds of a number is negative six. Find the number.

-9
-8
-4 ...?

Answers

The answer would be negative 9 (-9)

Julia ran 7000 meters, while carol ran 4 kilometers. who ran farther?

Answers

4 km = 4000 meters
7000 meters = 7 km
therefore julia ran further.

hope this helps you

Joe builds a toy house in the shape of a rectangular prism. If he paints each of its faces with a different color of paint, how many colors will he require?


4



5



6



8

Answers

The answer should be 6
the answer would be 6 because a rectangle has 6 sizes and so he would need at least 6 different paint

a^2b(3a^2 + 4ab^2) ...?

Answers

a²b(3a² + 4ab²)
= 3a⁴b + 4a³b³ 

You are making small pizzas. you have 12 cups of flour. each pizza crust requires 3/4 cup of flour. how many pizza crusts can you make?

Answers

The answer would be thirteen

Which expression represents the composition g(f(x)) for the functions below?

f(x) = –3x2
g(x) = 3x

Answers

Ok seems you're in Algebra 1 :) well let me help you Franky :D

f(x) is inside g(x) so think of it as G(f(x)) = 3(-3x^2)      (SHOW EXPONENTS WITH ^ LIKE x^2 :D )

3(-3x^2) Now distribute :D

3*-3x = -9x
dont forget that exponent :P

g(f(x)) = -9x^2

Answer:

[tex]g(f(x))=-9x^2[/tex]

Step-by-step explanation:

[tex]f(x) = -3x^2[/tex]

[tex]g(x) = 3x[/tex]

WE need to find composition of function g(f(x))

To find g(f(x)) we replace f(x) in g(x)

[tex]g(f(x))= g(-3x^2)[/tex]

Now we replace -3x^2 inside g(x)

[tex]g(-3x^2)=3(-3x^2)= -9x^2[/tex]

[tex]g(f(x))=-9x^2[/tex]

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?

Answers

It has rotated 360 degrees means a complete revolution. 
As an Octagon has eight sides, it would be pre-image for eight times during the rotation.
So, your final answer is 8
The answer would be 8.

Eddie goes jogging every other day, lifts weights every third day, and swims every fourth day. If Eddie begins all three activities on Monday , how many days will it be before he does all three activities on the same day again?

(BTW YOU'RE SUPPOSED TO USE LCM)

Answers

LCM of 2, 3 and 4 is 12.
In 12 days
It would be Thursday of the following week
Final answer:

By applying the concept of Least Common Multiple (LCM), which is 12 in this case, we realize that Eddie will perform all three activities on the same day again after 12 days and that the day will be a Friday.

Explanation:

If Eddie goes jogging every other day (2 days), lifts weights every third day (3 days), and swims every fourth day (4 days), then we must find the LCM of 2, 3, and 4 to find out when will he do all three activities on the same day again.

The LCM of 2, 3, and 4 is 12. Therefore, Eddie will perform all three activities on the same day after 12 days. If he begins on Monday, he will surprisingly end up on a Friday, as the 12th day falls on a Friday. This is because, typically, 7 days from Monday is another Monday. Therefore, five additional days (to total 12) will fall on a Friday.

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What is 1.3 repeating as a fraction?

Answers

1.3 as a fraction is 13/10
1.3 repeating = 1.333...
1.333... = 1 + 0.333...
0.333... = x  / * 10
3.333... = 10 x
3 + 0.333... = 10 x
3 + x = 10 x
3 = 9 x
x = 3/9
x = 1/3
Finally:
1.3 repeating = 1 1/3 = 4/3 

The solution to 2x - 5 = 27 is also a solution of which of the following equations?

3 + 5x = 58
3x - 2 = 31
2x + 3 = 35
27 - 2x = 5

Answers

the answer is
2x+3=35

A grocery store sells a 7 oz bag of raisins for $1.10 and a 9 oz bag of raisins for $1.46. which size bag has the lower price per ounce?

Answers

7 oz bag:
110 ÷ 7 = 15.7143¢ per oz
9 oz bag:
146 ÷ 9 = 16.2222¢ per oz
So the answer is the 7 oz bag, hope this helps!
it would be the 7oz bag

hope this helps you

Ken drew a pair of intersecting rays and marked the angle between them.

Which of these statements best compares the pair of intersecting rays with the angle?
-The rays and the angle have two endpoints each.
-The rays and the angle have their lines extending in opposite directions.
-The rays have a number of points lying on them and the angle has only one point lying on it.
-The rays extend infinitely and the angle is made by the rays which have a common endpoint.
...?

Answers

The best and most correct answer among the choices provided by your question is the fourth choice.

The rays extend infinitely and the angle is made by the rays which have a common endpoint.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer:

-The rays extend infinitely and the angle is made by the rays which have a common endpoint.

Step-by-step explanation:

A ray starts from one point and extends in one direction forever.

An angle is the space between two intersecting lines at or close to the point where they meet. In this case two rays intersect each other at one point

sin(θ) cos(3θ) + cos(θ) sin(3θ) = 0

Answers


[tex]\displaystyle\\ \text{We use formula:}\\ \sin(\alpha+\beta)=\sin(\alpha)\cos(\beta)+cos(\alpha)\sin(\beta)\\\\ Resolve:\\\\ \sin(\Theta)cos(3\Theta)+cos(\Theta)sin(3\Theta)=0\\\\ \sin(\Theta+3\Theta)=0\\\\ \sin(4\Theta)=0\\\\ \text{We have two solutions:}\\\\ 4\Theta=0~~\Longrightarrow~~\Theta=\frac{0}{4}=0~~\Longrightarrow~~ \boxed{\Theta_1=0+2k\pi}\\\\ 4\Theta=\pi~~\Longrightarrow~~\Theta=\frac{\pi}{4}~~\Longrightarrow~~ \boxed{\Theta_2=\frac{\pi}{4}+2k\pi}\\\\[/tex]



The decimal of 2 quarters, 1 dime, and 4 pennies

Answers

The answer to this is 0.64

How many factors are in (3 3)(2*y 4*y) (2-2)(2 2)?

Answers

2 pairs because 2 and 2 are one and 3 and 3 are 2

In which figure is DE\\BC ? figure 1 figure 2 figure 3 figure 4

Answers

the answer is figure #4

In Figure 4, in the triangle ΔABC, DE is parallel to BC, i.e., DE||BC.

A triangle is one of the most basic geometric figures, having 3 sides, 3 angles, and 3 vertices.

By the theorem of the triangle, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. Let's check the theorem holds for which triangle in the given figures.

Figure 1:

[tex]\frac{AD}{BD} = \frac{6}{15} =\frac{2}{5}[/tex]

[tex]\frac{AE}{CE} = \frac{6.6}{17.5} =\frac{66}{175}[/tex]

Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],

Here, in triangle ABC, DE is not parallel to BC.

Figure 2:

[tex]\frac{AD}{BD} = \frac{5}{12}[/tex]

[tex]\frac{AE}{CE} = \frac{6}{15} =\frac{2}{5}[/tex]

Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],

Here, in triangle ABC, DE is not parallel to BC.

Figure 3:

[tex]\frac{AD}{BD} = \frac{4}{12} =\frac{1}{3}[/tex]

[tex]\frac{AE}{CE} = \frac{5}{16}[/tex]

Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],

Here, in triangle ABC, DE is not parallel to BC.

Figure 4 :

[tex]\frac{AD}{BD} = \frac{5.5}{15}[/tex]

     [tex]= \frac{55}{150}\\ = \frac{11}{30}[/tex]

[tex]\frac{AE}{CE} = \frac{6.6}{18}[/tex]

     [tex]=\frac{66}{180}\\ =\frac{11}{30}[/tex]

Since, [tex]\frac{AD}{BD} = \frac{AE}{CE}[/tex],

Therefore, in triangle ABC, DE is parallel to BC, i.e., DE||BC.

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15 meters or 15 yards

Answers

are there any options?
 

Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)

Answers

First we need to calculate that numeric value. It cannot be done immediately without calculations.

if 85% of studends liked mystery that means that 100% - 85% = 15% didnt like.

Those 15% are 30 that were given in text. Now we can calculate this using proportion:

15%        30 students
85%         x students

we use cross multiplication:
15*x = 30*85
x = 30*85/15
x = 170

Answer is 170

Ben buys a car for $50,000. The value of the car decreases at a rate of 4% per year. How much will the car be worth in 3 years?

Answers

50000*0.04*3=6000,,50000-6000=44000

Answer:

The answer is 44,237.

Step-by-step explanation:

50000×0.96×0.96×0.96

=44236.8

when rounded to the nearest dollar it is 44,237.

I have 28 toys that are solar 2/7 of them are Disney characters how many solar toys are Disney characters

Answers

the answer is 8 toys to this question

Final answer:

To find out how many solar toys are Disney characters, multiply the total number of toys by the fraction of toys that are Disney characters.

Explanation:

To find out how many solar toys are Disney characters, we need to multiply the total number of toys by the fraction of toys that are Disney characters. In this case, 2/7 of the toys are Disney characters. So, we can calculate:

Number of solar Disney toys = Total number of solar toys × Fraction of Disney toys

Number of solar Disney toys = 28 × 2/7 = 8

Therefore, there are 8 solar toys that are Disney characters.

The slope of the line below is –4. Use the coordinates of the labeled point to find a point-slope equation of the line.
A. y – 9 = 4(x + 4)

B. y + 9 = –4(x – 4)

C. y – 9 = –4(x + 4)

D. y + 9 = 4(x – 4)

Answers

The answer is y + 9 = -4(x - 4) (B)

Point Slope Form:
y - y = m(x - x)
y - -9 = -4(x - 4)
y + 9 = -4(x - 4)

Hope this helps!!

Answer: y+9=-4(x-4)

Step-by-step explanation:

A P E X

Jerome walked 2/3 mile in the morning and 11/12 mile in the evning. How many miles did he walk in all?

A.)19/24
B.)7/12
C.)1 and 7/12
D.)1 and 1/3

Answers

C 1 and 7/12 Because 2/3=8/12 it is really 8/12+11/12 which is 19/12 which equals 1 7/12

three kids named ricky, bobby, and terry have a total of 68 tech decks. Ricky has 8 more than bobby. terry has triple the number bobby has how many tech decks does each kid have?

Answers

B: x
T: 3x
R: x + 8

x + 3x + (x+8) = 68
5x + 8 = 68
5x = 60
x = 12

B: 12
T: 36
R: 20

Final answer:

Bobby has 12 tech decks, Ricky has 20 tech decks, and Terry has 36 tech decks.

Explanation:

Let's represent the number of tech decks each child has using variables.

Let's say Bobby has x tech decks. Since Ricky has 8 more tech decks than Bobby, Ricky has x + 8 tech decks. Terry has triple the number of tech decks that Bobby has, so Terry has 3x tech decks.

Now, we can set up an equation to represent the total number of tech decks:

x + x + 8 + 3x = 68

5x + 8 = 68

5x = 60

x = 12

So, Bobby has 12 tech decks, Ricky has 12 + 8 = 20 tech decks, and Terry has 3 * 12 = 36 tech decks.

Whats the perimeter of a square with a side measurement of 6 in?

Answers

The answer is definitely 24. 
Hope this helps!
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