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
wlad13 [49]
4 years ago
9

The product of a positive number and 14 more than seven times the number is 105. Find the two numbers. first number =______ and

second number =_________
Mathematics
2 answers:
Nostrana [21]4 years ago
8 0
Let the positive number be x

The expression is
x(14+7x)=105⇒ expanding the bracket gives,
14x+7 x^{2} =105 ⇒ rearranging to equate one side to zero
7x^{2} +14x-105=0 ⇒ Dividing each term by 7 to simplify
x^{2} +2x-15 ⇒ Factorising gives
(x+5)(x-3)=0
x=-5 and x=3

Hence, the first number is -5 and the second number is 3

Misha Larkins [42]4 years ago
7 0

Answer:

can you explain it in more depth please

Step-by-step explanation:


You might be interested in
What is in between 0 and 0.25
Natali [406]

Answer:

0.25

Step-by-step explanation:

0.25-0=0.25

4 0
3 years ago
Rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin. What are the coordinates of the
MissTica

Answer:

The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.

Step-by-step explanation:

Considering the vertices of the rectangle ABCD

  • A(-8, 6)
  • B(-4, 6)
  • C(-4, 4)
  • D(-8, 4)

When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.

i.e.

B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)

Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.

4 0
4 years ago
Read 2 more answers
If you have a quarter of a pie and you cut it in half, what fraction of a pie would each slice represent? enter the numerator fo
yarga [219]

\\
\text{Suppose you have a quarter of a pie, so in mathematical notation the part of }\\
\text{pie you have is}=\frac{1}{4}\\
\\
\text{now you cut this piece of quarter pie in half and make two equal part.}\\
\\
\text{so the fraction of the pie, that each slice would represent is:}\\
\\
=\text{Half of the quarter pie}\\
\\
=\frac{1}{2}\left ( \frac{1}{4} \right )\\
\\
=\frac{1}{8}

Hence the fraction of a pie that each slice represent is: 1,8

7 0
4 years ago
Three friends were playing a game of marbles. At the end of the game, Marcy had 25% of the marbles, Roger had21of the marbles, a
Sati [7]

Answer:

54

Step-by-step explanation:

total no. of marbles=100

no. of marbles Marcy had

=25% of 100

=25/100×100

=25

no. of marbles Roger had=21

Let the no. of marbles Ann had=x.

So, 25+21+x=100

46+x=100

x=100-46=54

Therefore, Ann had 54 marbles at the end of the game.

8 0
3 years ago
rosa's parents want to lend her money for her high school graduation party, but they also want to teach her about finance and re
Kay [80]

Answer:

0.066666......

Step-by-step explanation:

100/1500=0.6666....

check by multiplying 1500 by 0.6666, its almost 100, due to the fact the 6 repeats for ever.

6 0
4 years ago
Other questions:
  • If x < 0 and y ≥ 0, then xy < 0.
    9·1 answer
  • A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindric
    8·1 answer
  • A particular metal alloy a has 20% iron and another alloy b contains 60% iron. how many kilograms of each alloy should be combin
    10·1 answer
  • Convert 2.365 to a percent
    11·2 answers
  • Find B the vertex, zero(s), and y-intercept of the graph of y = x2 - 6x + 8.
    6·1 answer
  • Which expression can be used to find the surface area of the following cube?
    9·2 answers
  • I think one of them is x-100.
    11·1 answer
  • The yield of a certain chemical reaction is believed to be related to temperature. A study collected the yield from 15 such reac
    14·1 answer
  • Given:<br> RS = 3x - 16<br> ST = 4x - 8<br> RT = 60<br> Solve for RS.
    10·1 answer
  • The members of a city council wanted to assess the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!