1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Neko [114]
3 years ago
6

Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owne

d the truck for years longer than she has owned the van. If the sum of the ages of the vehicles is years, how old is the van and how old is the truck?
Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

The age of the van owned = 12 years

The age of the truck owned  = 29 years

Step-by-step explanation:

Here, the given question is INCOMPLETE.

Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for 17 years longer than she has owned the van. If the sum of the ages of the vehicles is 41 years, how old is the van and how old is the truck?

Let us assume the number of years Laura has owned the van = S years

So, according to the question:

The number of years she has owned truck = S + 17 years

Now, Sum of the age of ( Truck + Van)  = 41 years

⇒ (S + 17 years) + (S years)  = 41 years

or, 2 S +  17 = 41

or, 2 S  = 4 1 -1 7 = 24

or, S  = 24/2 = 12 years

or, S  = 12 years

Hence the age of the van owned = 12 years

The age of the truck owned  = S  + 17  = 12 + 17 = 29 years

You might be interested in
Solve this problem???​
Svetllana [295]

The denominator of the first term is a difference of squares, such that

4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

8 0
3 years ago
Step-by-step to reduce the radical of the square root Of 160
notka56 [123]

Answer:

4\sqrt{10}

Step-by-step explanation:

\sqrt{160}

\sqrt{16 * 10}

4\sqrt{10}

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

8 0
2 years ago
Read 2 more answers
A scuba diver descends in the water at a rate of 23 1/2
Makovka662 [10]

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2  feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = R _1

R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min

Distance covered by a scuba diver in 2.6 minutes = d_1

d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft

Rate of a scuba diver ascending for 2 minutes = R _2

R_2= 28ft/min

Distance covered by a scuba diver in 2 minutes = d_2

d_2=R_2\times 2min=28 ft/min\times 2 =56 ft

The position of scuba diver after 4.6 minutes relative to sea level:

d_1-d_2=61.1 ft-56 ft=5.1ft

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/1072871?referrer=searchResults

3 0
3 years ago
How can you determine the difference between an arithmetic and geometric sequence if you are given the first 4 terms of the sequ
Bess [88]
Compute successive differences of the terms.

If they are all the same, the sequence is arithmetic and the common difference is the difference you have found.

If successive pairs of differences have the same ratio, the sequence is geometric and the common ratio is the ratio you have determined.


Example of arithmetic sequence:
  1, 3, 5, 7
Successive differences are 3-1 = 2, 5-3 = 2, 7-5 = 2. All the differences are 2, which is the common difference of the sequence.

Example of geometric sequence:
  1, -3, 9, -27
Successive differences are -3-1 = -4, 9-(-3) = 12, -27-9 = -36. These are not the same, so the sequence is not arithmetic. Ratios of successive pairs of differences are 12/-4 = -3, -36/12 = -3. These are the same, so the sequence is geometric with common ratio -3.
3 0
3 years ago
Read 2 more answers
Please Hurry). Question: What is the value of x? (Will Mark Brainliest) Please only answer if you know it.​
aleksklad [387]

Answer:

111

Step-by-step explanation:

The sum for a 7-sided interior polygon is 900

126+158+120+125+121+139=789

900-789=111

3 0
2 years ago
Read 2 more answers
Other questions:
  • Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one
    6·1 answer
  • Please help me... Question is in the picture
    13·1 answer
  • 8 x 213 = 1,600 + ------<br>+ 24​
    7·1 answer
  • 4) How many cards must you draw from a deck of 52 cards to have at least 5 cards of one suit?
    9·1 answer
  • Describe the behavior of the graph at the x-intercepts for the functions f(x)=(2x-7)^7 (x+3)^4. Be sure to identify each x-inter
    9·1 answer
  • What is an equation of the line in slope-intercept form?
    9·1 answer
  • How many solutions does this system have? 2x+8y=16,-3x+6y=30
    5·2 answers
  • Which of the following are solutions to the equation below? Check all that apply.<br> 9x2 – 64 = 0
    9·2 answers
  • What is the answer can someone explain it
    7·1 answer
  • Which expression shows the distance on the number line between −7 and 16?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!