answer.
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
pishuonlain [190]
1 year ago
11

in one day annie traveled 5 times the sum of the number of hours brian traveled and 2. Together they traveled 20 hours. Find the

number of hours each person traveled.
Mathematics
1 answer:
LekaFEV [45]1 year ago
8 0
In order to solve this mathematical problem we can first consolidate and observe the given values and the values that are not known in the stated problem. Annie traveled 5 times the sum of the number of hours Brian traveled and 2. Together they traveled 20 hours. Find the numbers.
Equation, <span><span>
1. </span><span> 5(y) + 2 = 20</span></span>
<span><span>2. </span><span> 5y = 20 – 2</span></span> <span><span>
3. </span><span> 5y = 18</span></span>
<span><span>4. </span><span> Y = 18 / 5</span></span> <span><span>
5. </span><span> Y = 3.6</span></span> <span><span>
6. </span><span> 5y = 5(3.6)</span></span> <span><span>
7. </span><span> Annie = 18</span></span>
Hence, Annie traveled 18 hours while Brian traveled 3.6 hours.  



You might be interested in
Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b
matrenka [14]

Answer:

Correct answer is:

5y+6r=660\\y=2r+8

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by y

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 5y

Also Given that Number of bracelets with Orange beads is represented by r

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 6r

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

5y+6r=660 ....... (1)

It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"

\Rightarrow r =2r+8 ...... (2)

So, by equation (1) and (2), the system of equations is:

5y+6r=660\\y=2r+8

5 0
1 year ago
Select all the pairs that could be reasonable approximations for the diameter and circumference of a cirlce 5 meters and 22 mete
bazaltina [42]

Answer:

Option a) circle 5 meters and 22 meters

Step-by-step explanation:

We are given the following information in the question:

A pair of diameter and the circumference is given. We have to find a correct approximations for the diameter and circumference.

a) circle 5 meters and 22 meters

\text{Diameter} = 5\text{ meters}\\\text{Circumference} = \pi d = 3.14\times 5 = 15.7\text{ meters}

b) 19 inches and 50 inches

\text{Diameter} = 19\text{ inches}\\\text{Circumference} = \pi d = 3.14\times 19 = 59.66\text{ inches}

c) 33 centimeters and 80 centimeters

\text{Diameter} = 33\text{ centimeters}\\\text{Circumference} = \pi d = 3.14\times 33 =103.62\text{ centimeters}

Thus, no pair gives a reasonable approximation. Only the circle with diameter 5 and circumference 22 meters have closest approximation.

6 0
2 years ago
Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. H
melamori03 [73]
#1 is incorrect. The first equation says that his grandmother is not more than 80 years old. If you confine yourself to whole numbers, then she could be 80 but not more. That inequality should be written as g < 81 or if you are a purist, g≤ 80. 

The second equation is correct. At the very most her age is equal to 3k - 3 so at most it would be written as g = 3k - 3.

Since it is not that much, you would write it as g ≤ 3k - 3
6 0
2 years ago
Read 2 more answers
baker has 5\dfrac145 4 1 ​ 5, start fraction, 1, divided by, 4, end fraction pies in her shop. She cut the pies in pieces that a
kupik [55]

Answer:

The answer is "She cut a total of 42 pieces of pie".

Step-by-step explanation:

Given :

Total pie=  5 \frac{1}{4}

cut pie = \frac{1}{8}

The number of pieces of the pie she has=?

Solve the mixed fraction value:

\to 5 \frac{1}{4}= \frac{21}{4}

If she cuts the pieces into the entire pie, that is  = \frac{1}{8}  

So, the equation is:

\to \frac{21}{4} = \frac{1}{8} \times x

\to x= \frac{21 \times 8}{4}\\\\ \to x= 21 \times 2\\\\ \to  x=42

7 0
1 year ago
The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
suter [353]

Answer:

5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ---->  the length of one leg of the triangle

Applying the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse

a and b are the legs

we have

c=10\sqrt{5}\ units

a=b=x\ units

substitute

(10\sqrt{5})^2=x^2+x^2

500=2x^2\\x^2=250\\x=\sqrt{250}\ units

Simplify

x=5\sqrt{10}\ units

5 StartRoot 10 EndRoot

4 0
2 years ago
Read 2 more answers
Other questions:
  • Kendra is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles by the case t
    7·2 answers
  • At a track meet, the longest shot put throw by a boy is 25 feet and 8 inches. The longest shot put throw by a girl is 19 feet an
    10·2 answers
  • What is the value of s and the length of side BC if ABCD is a rhombus?
    8·2 answers
  • The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play.
    13·2 answers
  • solomon has 4 hats and wears a different one everyday throughout 4 days. how many different orders can he wear the hats during t
    12·1 answer
  • A scatterplot consists of (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), and (5, 2.7). The line of best fit used to model the data is y
    12·2 answers
  • How many terms are in the expression shown? <br><br> 2n + 5 – 3p + 4q<br><br> 1<br> 2<br> 3<br> 4
    13·2 answers
  • A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.
    10·2 answers
  • Ava said "There are only three hundred 3- diget numbers" is her statement true or faulse
    14·1 answer
  • Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the sam
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!