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
Vlad [161]
3 years ago
8

Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

x = y + 1 --- Equation 1

From the question; we have that

\frac{4x}{7} = \frac{y}{2} + 5 --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5

2 * 4x = 7 * y + 70

8x = 7y + 70 ---- Equation 3

Substitute y + 1 for x in equation 2

8(y + 1) = 7y + 70

Open bracket

8y + 8 = 7y + 70

Collect like terms

8y - 7y = 70 - 8

y = 62

x = y + 1

So,

x = 62 + 1

x = 63

Hence, the consecutive numbers are 62 and 63

You might be interested in
When building the Channel, the English and French each started drilling on opposite sides of the English Channel. The two sectio
Alekssandra [29.7K]

Suppose the English could drill the Channel in 6.2 years, then they drill with speed \dfrac{L}{6.2} km per year, where L is the length of the English Channel. If the French could drill in 5.8 years, then their speed of drillling is \dfrac{L}{5.8} km per year.

Together their speed will be

\dfrac{L}{6.2} +\dfrac{L}{5.8} =\dfrac{5.8L+6.2L}{6.2\cdot 5.8}=\dfrac{12L}{35.96}=\dfrac{3L}{8.99}.

If they drill together, they will spend

\dfrac{L}{\frac{3L}{8.99}} =\dfrac{8.99}{3}=2.9966666....\approx 3 years.

Answer: it would have taken nearly 3 years.

7 0
3 years ago
You use 4 gallons of water on 14 plants in your garden. At this rate, how much water will it take to water 35 plants?
Sidana [21]
14 plants divided by 4 gallons equals 3.5 plants per every 1 gallon. 35 divided by 3.5 equals 10 gallons.
7 0
3 years ago
Read 2 more answers
Can someone help me understand how to find a slope?
bezimeni [28]

Answer:

-7/6

Step-by-step explanation:

I have plotted 8,10 and 2,17 on a grid and connected them with a line to help visualize the slope of the line we are trying to find.

The answer can also be written as a decimal as shown below, but it is neater to use the fraction.

8 0
3 years ago
Please someone help me: Complete the reasons for the proof.
dimulka [17.4K]

Step-by-step explanation:

1) given

2) 2 non - common sides in 1 ray

3) supplemental

5) opposite angles are congruent

5 0
2 years ago
Read 2 more answers
HELP PLS ANSWER ASAP DUE TOMARROW
damaskus [11]

Answer:

they need to sell 15,000 because 42 percent of 15,00 is 6,300+2500=800

the inequality should be. 2500+0.42s≥8,800

and the number line should have a closed point on 15,000 with the line pointing to the right

6 0
3 years ago
Other questions:
  • Wat is the value of digit 8 in 686,293
    14·2 answers
  • As part of a statistics project, Andrea would like to collect data on household size in her city. To do so, she asks each person
    6·1 answer
  • I need help with question 21. I am stuck on that question.
    9·2 answers
  • What is the correct classification of 23x + 16?
    9·1 answer
  • Tickets to the concert were $2.50 for adults and $1 for students. $1200 was collected and 750 tickets were sold. Write a system
    10·2 answers
  • Find the perimeter of the figure
    5·1 answer
  • A number is chosen at random from 1 to 25. Find the probability of selecting an even number that is greater than 13.
    15·1 answer
  • Colin bought a postcard for 45 cents . he gave the cashier $1 how much change did he receive
    5·1 answer
  • Which expression is equivalent to x-(3x+5)+2(x-3) - 2x
    8·1 answer
  • 9+4(x+2)-3x select the term that describes 3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!