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
lana [24]
2 years ago
15

the area of a Blackboard is 1 1/3 square yards posters area is 8/9 square yards find the unit rate and explain in words with uni

t rate means in the context of this problem is in more than one unit that can be calculated how do you know
Mathematics
2 answers:
ehidna [41]2 years ago
8 0

Answer:

Unit rate of area of blackboard to area of poster = \frac{8}{33}

Unit rate of area of Poster to area of blackboard = = \frac{33}{8}              

Step-by-step explanation:

Rates help us to evaluate or compare two different quantities.

Unit rate help us to compare or know that how the  units of the quantity 1 is related to units of quantity 2.

We are given that:

Area of Blackboard = \frac{11}{3}

Area of Poster = \frac{8}{9}

Unit rate of area of blackboard to area of poster: It mean that how does unit area of blackboard is related to or corresponds to area of poster

= \frac{\text{Area of Poster}}{\text{Area of Blackboard}} = \frac{\frac{8}{9} }{\frac{11}{3} }

= \frac{8}{33}

Thus, 1 unit area of blackboard corresponds to \frac{8}{33}\text{ area of poster}

Unit rate of area of Poster to area of blackboard: It mean that how does unit area of poster is related to or corresponds to area of blackboard.

= \frac{\text{Area of Blackboard}}{\text{Area of Poster}} = \frac{\frac{11}{3} }{\frac{8}{9} }

= \frac{33}{8}

Thus, 1 unit area of Poster corresponds to \frac{33}{8}\text{ area of blackboard}

Rzqust [24]2 years ago
3 0
The answer is 143 square feet
You might be interested in
A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame
snow_tiger [21]

Let us assume uniform width = x cm wide.

Length of rectangular portrait = 50cm and width of rectangular portrait = 70cm.

Therefore,  length of rectangle made by frame = 50 + x+x = (2x+50) cm.

And width of rectangle made by frame = 70+x+x = (2x+70) cm.

We know, the area of rectangular portrait = 50 × 70 = 3500 cm^2.

Total area of the rectangle made by frame would be =  (2x+50) * (2x+70)

We know,

Actual area of frame = Area of rectangle made by frame -  area of rectangular portrait.

We also given "the area of the frame is the same as the area of the portrait."

We can setup an equation now,

 3500 = (2x+50) * (2x+70) - 3500.

Subtracting 3500 from both sides, we get

3500-3500 = (2x+50) * (2x+70) - 3500-3500.

0 = (2x+50) * (2x+70) -7000.

FOIL (2x+50) * (2x+70), we get

0 = 2x*2x +2x*70 + 50*2x +50*70 - 7000.

0 = 4x^2 +140x +100x +3500 -7000.

4x^2 +240x -3500 = 0.

Dividing whole equation by 4, we get

x^2 +60x - 875 =0

Applying quadratic formula =\frac{-b\pm \sqrt{b^2-4ac}}{2a}, we get

=\frac{-60\pm \sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}

x=\frac{-60+\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}=5\left(\sqrt{71}-6\right)

x=\frac{-60-\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}:\quad -5\left(6+\sqrt{71}\right)

We cant take negative value.

So, x=5\left(\sqrt{71}-6\right)=12.13

We could take approximately 12 cm.



7 0
2 years ago
Jenna dances for 3 hours on sunday, 2 hours on Monday and Tuesday, 1 hour on THursday,1.5 hours oon friday, and 2 hours on Satur
Delicious77 [7]

Answer: The average number of hours she danced per day is 1.9 hours (rounded to the nearest tenth)

Step-by-step explanation: We start by calculating how many hours she danced all together which can be derived as follows;

Summation = 3 +2 +2 + 1 + 1.5 + 2 = 11.5

The number of days she danced which is the observed data is 6 days (she did  not dance at all on Wednesday).

The average (or mean) hours she danced each day can be calculated as

Average = ∑x ÷ x

Where ∑x is the summation of all data and x is number of observed data

Average = (3+2+2+1+1.5+2) ÷ 6

Average = 11.5 ÷ 6

Average = 1.9166

Approximately, average hours danced is 1.9 hours (to the nearest tenth)

8 0
1 year ago
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in the screen disp
e-lub [12.9K]

Answer:

D. is the correct answer, hope this helps!


4 0
1 year ago
Read 2 more answers
Grant also buys bottled water and juice pouches for the picnic. There are
valentinak56 [21]

Answer:

60 of each

Step-by-step explanation:

water          juice

12                10

24               20

36               30

48               40

60               50

                  60

3 0
1 year ago
ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ant legs L Elena w
barxatty [35]

Answer:

Neither are correct.

Step-by-step explanation:

The number of legs = the number of ants * 6.

The relationship is L = 6 a   so neither are correct.

7 0
2 years ago
Read 2 more answers
Other questions:
  • which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 7x the discriminant is greater than zero,
    12·2 answers
  • The speed of the international space station is 27,576 kilometres per hour.
    9·1 answer
  • Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c
    13·3 answers
  • The state of south dakota has a population of about 814,000 people. Find the population density in people per square miles if th
    13·1 answer
  • Karl drove 617.3 miles. For each gallon of gas the car can travel 41 miles.Select a reasonable estimate of the number of gallons
    8·1 answer
  • Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 40 emp
    5·1 answer
  • Gabriel wants to send a parcel to Italy.
    11·1 answer
  • Zoe is planning to adopt 2 pets. She is equally likely to choose a dog or cat for each pet. Zoe modeled her choices with an expe
    15·1 answer
  • The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What i
    9·1 answer
  • Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!