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
Ne4ueva [31]
3 years ago
14

If a: b = 2:3, b: c = 4:3, and c: d = 7: 8, find a: d.

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

a:d=7:9

Step-by-step explanation:

We have a system with 3 equation:

\frac{a}{b}=\frac{2}{3}\\\frac{b}{c}=\frac{4}{3}\\\frac{c}{d}=\frac{7}{8}

If we multiply all of these equations, then we have:

\frac{a}{b}*\frac{b}{c}*\frac{c}{d}=\frac{2}{3}*\frac{4}{3}*\frac{7}{8}\\\frac{a*b*c}{b*c*d}=\frac{2*4*7}{3*3*8}\\\frac{a}{d}=\frac{56}{72}

If we simplify this fraction dividing by 9, then:

\frac{a}{d}=\frac{56:9}{72:9}=\frac{7}{9}

Therefore, a:d=7:9

You might be interested in
How do you simply 3x-7+9-2x=x+2
Gre4nikov [31]

Answer:

x+2=x+2

Step-by-step explanation:

Combine like terms

3x+(-2x) and (-7)+9

x+2=x+2

7 0
3 years ago
Describe the distribution of the data with regard to the shape, outliers, center, and spread.
Pepsi [2]
Create a frequency chart by using a bar graph as shown in the picture below. A frequency chart is used when you want to present how much of the data belongs to one group. For this problem, it specifically represents how many people belong to a time interval. The y-axis is the number of people and the x-axis is the time expressed in intervals.

As you can see visually, the shape of the distribution graph is skewed to the right, although not uniformly. This is justified because the relatively high data are situated on the far right side of the graph. Also, there are no outliers in the data because they are all pretty close to each other. No bar is obviously different from the others. The center is the median of all the data. If you create a middle line as represented by the horizontal line, the center data point is 21. You can verify this by arranging all the data points from smallest to largest, and selecting the middle data. Lastly, the spread is from the lowest value to the highest value. The lowest value is at 12 to 1 pm with 19 people. The highest value is at 4 to 5 pm with 24 people. Therefore, the spread is from 19 to 24.

5 0
3 years ago
HELP! Look at the stem-and-leaf plot. What is the mode of the numbers?
puteri [66]
The answer is 100
since the number 100 is the number that appears to be the most frequent
7 0
3 years ago
Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and pro
NARA [144]

Answer:

percentage of professional professor are 75

Step-by-step explanation:

Given data

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

to find out

what percent of the professional professors

solution

we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40

because here

total = A + P - both

90 = 60 + 70 - both

both = 40

so professors  tenured will be here 70 - 40 = 30

so

percentage of professional professor are = 30 / 40 × 100

percentage of professional professor are 75

5 0
3 years ago
Polygons similar? Justify your reasoning.(10 points each)
Liono4ka [1.6K]

Answer:

what vfvj u rdjmhgfx Uzumaki i

7 0
3 years ago
Read 2 more answers
Other questions:
  • How many 90 degrees angles does it take to make a full turn
    14·2 answers
  • Find the base and height of a rectangle with vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1). The height is units. The base is u
    6·2 answers
  • There are 13 people on the city bus. At the first stop, four people get off and to get on. At the Second stop, six people get of
    15·2 answers
  • Six times a number x and was added to 90 and the result is -42. What is the number​
    7·1 answer
  • Write a expression that equals 24. Include an exponent
    5·2 answers
  • A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
    9·2 answers
  • Tan45degree - 10cos60degree
    9·1 answer
  • 10. Doug has added two decimal numbers. His work is shown.
    15·1 answer
  • How long will it take for a certain population of fish to triple if the relative growth rate is 45% per year?
    14·1 answer
  • The degree of polynomial 4x ^2 y+x^ 2 -2y ^2 is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!