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
Fudgin [204]
4 years ago
15

a graphic designer and her assistant working together can complete an advertising layout in 6 days. The assistant working alone

could complete the job in 16 more days than the designer working alone. How long would it take each person to do the job alone
Mathematics
1 answer:
kow [346]4 years ago
7 0
X= hours needed by the designer 
x+ 16= hours needed by the assistant 

In 6 hours the designer does 6/x of the job 
In 6 hours the assistant does 6/(x + 16) of the job
Together they complete the 1 job


6/x+ 6/( x+16)= 1
6(x+16) +6x =+ x2<span> </span><span>16x
6x+ 96+ 6x= </span>x<span>2+ 16x 
0= </span>x2+ 4x- 96 
0= (x+12)(x-8)
{-12/8}

The designer needs 8 hours and the assistant needs 24 hours.
You might be interested in
In the diagram, what is mAngleVSR?
katovenus [111]

The  mAngleVSR   m Angle VSR  is  mathematically given as

\theta= 80°

This is further explained below.

<h3>What is mAngleVSR?</h3>

Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.

The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore

m∠VSU = m∠RST = 100°

m∠RSV = m∠UST

In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som

m∠RSV = 180° - m∠VSU =180° - 100° = 80°

Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).

Read more about angles

brainly.com/question/17039091

#SPJ1

3 0
1 year ago
A principal at a large high school wants to estimate the number of days freshmen regularly ride the bus to school.
nikitadnepr [17]

Answer:

b. using a sample of size 40

Step-by-step explanation:

edg 2020

5 0
3 years ago
Read 2 more answers
Explain why an equation is extraneous. Explain why an equation is non extraneous.
TEA [102]

Answer:

I hope it's helpful.

Step-by-step explanation:

In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

5 0
3 years ago
There exist infinitely many common fractions $\frac{a}{b}$ , where $a &gt; 0$ and $b &gt; 0$ and for which $\frac{3}{5} &lt; \fr
vredina [299]

Answer:

3/5 has the smallest denominator

Step-by-step explanation:

Question:

There exist infinitely many common fractions a/b , where a > 0 and b > 0 and for which 3/5 < a/b< 2/3. Of these common fractions, which has the smallest denominator? Express your answer as a common fraction.

Solution

A Common fraction is a rational number written in the form: a/b. Where a and b are both integers.

The denominator and numerator in this case are greater than zero. That is, they are non zeros.

The least common denominator (LCD) of two non- zero denominators is the smallest whole number that is divisible by each of the denominators.

To find the smallest denominator between 3/5 and 2/3, we would convert the fractions to equivalent fractions with a common denominator by finding their LCM (lowest common multiple).

When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator and the smaller fraction is one with the smaller numerator.

In our solution after comparing, the smaller fraction would have the smallest denominator.

Find attached the solution.

3 0
4 years ago
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the
Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

x^{2} = 6^{2} + 5^{2}

x^{2} = 36 + 25

   = 61

x = \sqrt{61}

  = 7.81

let the length of the diagonal support be represented by l. So that;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

l^{2} = x^{2} + 8^{2}

  = \sqrt{61} + 64

l  = \sqrt{\sqrt{61} + 64 }

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.

6 0
3 years ago
Other questions:
  • PLZ HELP NOT HARD AND WORTH IT FOR THE POINTS!
    8·2 answers
  • Given ΔDEF : ΔRST, find the scale factor.
    9·2 answers
  • Describe the set of all points p(x,y) in a coordinate plane that satisfy the given condition
    8·1 answer
  • RSTU is a parallelogram.
    6·2 answers
  • Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller
    9·2 answers
  • Find the exact circumference of a circle with the given radius. 3¼ inches C = 6.25 in. 6.5 in. 23.25 in.
    13·2 answers
  • Dales dad rose his bike 1 kilometer north, 1 kilometer west, 1 kilometer south, and 2 kilometers east. How many kilometers will
    15·2 answers
  • Please help me answer please
    12·1 answer
  • Mila ran 6 times around a track that is 2/3 mile long. Which statement is true
    14·1 answer
  • What is the sum of the interior angles of the polygon shown below
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!