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
dimulka [17.4K]
3 years ago
6

a construction crew built 4 1/2 miles of Road and 3 3/8 days. What is the unit rate in miles per day? Write your answer as a fra

ction or mixed number in simplest form.
Mathematics
1 answer:
sineoko [7]3 years ago
5 0

The construction crew took 3\frac{3}{8} days to build 4\frac{1}{2} miles of road.

Therefore, in 1 day, the crew built \frac{4\frac{1}{2} }{3\frac{3}{8} } miles of road

= \frac{\frac{9}{2} }{\frac{27}{8} } =\frac{9}{2}times\frac{8}{27}=\frac{4}{3} miles of road

Thus, the required rate is \frac{4}{3} miles or 1\frac{1}{3} miles per day.

You might be interested in
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the t
Anvisha [2.4K]
We can first add up the cards so we know how many we have in all:
16 + 16 + 18 = 50 cards

We can do this a little bit easier if we get the "16"-cards in one number total.

16 + 16 = 32

\frac{32}{50} = 32 x 2 = \frac{64}{100}
                                         50 x 2 

\frac{64}{100} = 64 : 2 = 32 %
                                            100
We did just divide the % of two types cards on 2, so we get the %-chance of 1 type card.

I am not quite sure, but I think that 32 % is the correct answer.
6 0
3 years ago
Use the figure to the right to find the missing lengths of the triangle.
pychu [463]

To find AB(x) and BC(y), you can do(there are multiple ways you can do this):

tan A = \frac{y}{7}

tan 60° = \frac{y}{7} or (tan 60°) · 7 = y

tan 60° = \frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}

√3 · 7 = y

7√3 cm = y


sin B = \frac{7}{x}

sin 30° = \frac{7}{x} or x= \frac{7}{sin 30}

sin 30° = \frac{\frac{1}{2} }{1} = \frac{1}{2}

x = \frac{7}{\frac{1}{2} } = 14

x = 14 cm


AB = 14cm

BC = 7√3 cm

8 0
3 years ago
Factor<br> x + x²y + x³y²<br><br> and <br><br> 10ℎ³????³ – 2h????² + 14hn
xenn [34]
What is the question marks for?

The First One Answer is

x•(1+xy+x^2y)
8 0
3 years ago
What’s<br> -2x+y= -14 <br> 6x + 5y = -6
Katarina [22]
Hey, here's a pic of it ! hope this helps !

p.s., photomath is a good app for algebraic answers with work, you should check it out (:

3 0
3 years ago
Is (x+7) a factor of f(x)= x^3-3x^2+2x-8
nikklg [1K]

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

6 0
3 years ago
Other questions:
  • A recipe for pie crust uses 2/3 cup of butter. One stick of butter is 1/2 cup of butter , which is equivalent to 8 teaspoons of
    5·1 answer
  • Is -14 an integer and a rational number?if not why
    8·1 answer
  • PLEASE HELP!!!!! WORTH 5 POINTS
    12·1 answer
  • NEED HELP ASAP BEST ANSWER GETS BRAINLIEST AND 25 POINTS
    7·1 answer
  • 32% of what number is 16?
    15·1 answer
  • Paula's grades on her history tests this semester are: 79,93, 92, 86, and
    7·2 answers
  • Can someone please help me on this problem
    11·1 answer
  • Hi! Can someone answer and explain how you got that answer? I’m practicing for the asvab, if you can explain in the most simplif
    10·1 answer
  • PLZZ HELP ME WORTH 35 POINTS
    8·2 answers
  • 1,3,2,6,3,9,4,12... what will be the eleventh number in the pattern?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!