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
hichkok12 [17]
3 years ago
13

Ten times an integer is added to seven times it’s square. If the result is 152, what was the original number?

Mathematics
1 answer:
Bess [88]3 years ago
3 0

Answer:

Required number is 4.

Step-by-step explanation:

Let the required number be a.

Given,

Sum of ten times the integer and seven times it’s square is 152.

= > Ten times of a + seven times of it's square = 152

= > 10( a ) + 7( a )^2 = 152

= > 10a + 7a^2 - 152 = 0

= > 7a^2 + 10a - 152 = 0

= > 7a^2 + ( 38 - 28 )a - 152 = 0

= > 7a^2 + 38a - 28a - 152 = 0

= > a( 7a + 38 ) - 4( 7a + 38 ) = 0

= > ( a - 4 )( 7a + 38 ) = 0

= > a = 4 or - 38 / 7

Hence the required number is 4.

You might be interested in
Write an expression that is equivalent to 2/3(4x + 9). (4 points) Select one: a. 8/3x + 6 b. 8/3x + 9 c. 2/3x + 6 d. 2/3x + 9
Lady_Fox [76]
You have to distribute the 2/3 across the equation.

8/3x+18/3 which is 8/3x+6 so the answer is a

I hope that helps
3 0
3 years ago
Round to the nearest hundredth (Geometric Series problem)
WITCHER [35]

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ 8(\frac{1}{4} )^{n-1}

=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by  

[a \times\frac{1-r^{n} }{1-r}]

= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]

= 15.98 (Answer)

4 0
3 years ago
4 - 1 1/4<br><br> A. 3 1/4<br> B. 3 3/4<br> C. 2 3/4<br> D. 2 1/4
AleksAgata [21]
The answer to this question is c. 2 3/4
6 0
3 years ago
Read 2 more answers
Convert 12 pints to gallons
EleoNora [17]
12 pints=
1.5 gallons
6 0
3 years ago
Read 2 more answers
The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to t
lesantik [10]

Answer:

The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years

Step-by-step explanation:

The given parameters are;

The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year

The distance between current LA and San Francisco = 470 km

From the formula for speed, s, we have

Speed = Distance/Time

Therefore, Time, t = Distance/Speed

The time, t it will take LA and San Francisco to be next to each other is given as follows;

t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)

t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years

Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.

6 0
3 years ago
Other questions:
  • Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . H
    9·2 answers
  • What’s the answer I really need help!
    14·1 answer
  • Convert 8% to a a fraction in lowest terms and a decimal.
    5·2 answers
  • Is 4 gallons smaller than 17 qt?
    10·2 answers
  • What is the value of the following expression 2x (6+[12÷(3+1)])-1
    13·2 answers
  • Why is it I paid for this app but i am not beneiting from it? will have to get rid! useless​
    6·1 answer
  • The formula y=450+0.15gives the weekly earnings for a sale person who earns 450 a week plus 15% commission on all sales .find th
    13·1 answer
  • An important problem encountered by personnel directors and others faced with the selection of the best in a finite set of eleme
    14·1 answer
  • What is the slope of the line that passes through the points (-4, 3) and (14, 0)?
    5·2 answers
  • What the slope of a line
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!