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
GenaCL600 [577]
3 years ago
5

a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th

e other new number what are the numbers​
Mathematics
1 answer:
Neko [114]3 years ago
3 0

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

You might be interested in
The point (−7, -24) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent o
babymother [125]

Answer:

\sin 253.740^{\textdegree} = -\frac{24}{25} = -0.960

\cos 253.740^{\textdegree} = -\frac{7}{25} = -0.280

\tan 253.340^{\textdegree} = \frac{24}{7} =  3.429

Step-by-step explanation:

The point is in the 3rd Quadrant of the Cartesian Plane. Therefore, angle must be between 180° and 270° with respect to the horizontal.

The angle is:

\theta = 180^{\textdegree}+\tan^{-1}\left(\frac{24}{7} \right)

\theta \approx 253.740^{\textdegree}

The values of the trigonometrical functions are computed below:

\sin 253.740^{\textdegree} = -\frac{24}{25} = -0.960

\cos 253.740^{\textdegree} = -\frac{7}{25} = -0.280

\tan 253.340^{\textdegree} = \frac{24}{7} =  3.429

4 0
3 years ago
Someone pls help me with this questions
Veronika [31]

Answer:

1) A giraffe's heart will beat 910 times in 14 minutes

Table for 1)

Beats      65     325    910

Minutes    1        5        14

2) $8.80 for 4 bags of chips

Explanation for 2)

8.8 divided by 4 equals 2.2

4.5 divided by 2 equals 2.25

7 0
3 years ago
Will give Brainliest!! I need help tbh, prize is brainliest. (no links-)
Anika [276]
C 24 units x 14 units hope this helps
4 0
3 years ago
Read 2 more answers
Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to f
Angelina_Jolie [31]

Answer:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

P(z>1.51)

And for this case we can use the normal standard distribution and the complement rule and we have this:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

7 0
3 years ago
Five thousand raffle tickets are sold for $5 each. 50 winnings numbers will be chosen, 40 of which will win $100 each and 10 of
Allisa [31]

Answer:

Step-by-step explanation:

Given

there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .

let x denotes the winning from a randomly selected ticket

x=100\ with\ Probability\ \frac{40}{5000}

x=1000\ with\ Probability\ \frac{10}{5000}

Expected value is given by

E(x)=100\times \frac{40}{5000}+1000\times \frac{10}{5000}

E(x)=0.8+2=2.8

and Expected return is given by

=100\times \frac{40}{5000}+1000\times \frac{10}{5000}-5

=2.8-5=$ -2.2

5 0
3 years ago
Other questions:
  • Rebecca gives gifts to 12 employees. Each gift is in a box 12 inches by 10 niches by 3 inches. How much wrapping paper does Rebe
    5·1 answer
  • For the following, work each by hand showing all steps. (4 points each)
    15·1 answer
  • A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, nega
    15·2 answers
  • A)50ft2<br>B)104ft2<br>C)54ft2<br>D)208ft2​
    6·1 answer
  • An arithmetic progression has first term 11 and Fourth term 32. Fine the sum of the first nine term
    13·2 answers
  • I’m just starting to watch the vampire diaries. SO TELL ME EVERYTHING I need to know btw I’m on the episode pilot. NO SPOILERS!
    11·1 answer
  • Find c
    10·1 answer
  • Line A: y=1/2x + 2
    8·1 answer
  • Factor the expression f(x)=36x^4-49x^2
    7·1 answer
  • The equation y = 0.75x represents the cost of watermelon in dollars (y) and the number of pounds of watermelon(x). What is the c
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!