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
vichka [17]
3 years ago
6

The sum of two numbers is 75. The second number is 3 less than twice the first

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Answer:

\large{\textbf{The two numbers are: 26 and 49}.\\}

Step-by-step explanation:

\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y =  75  \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$  \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} &  \implies x + 2x - 3 = 75  \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }

You might be interested in
Help me find the area :)
Andreas93 [3]

Answer:

20.625 ft²

(hope this is right :)

4 0
3 years ago
If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental
OLga [1]

Answer:

The experimental probability of rolling anumber less than 3 is 3/20

Step-by-step explanation:

16+14=30

30/200

=3/20

7 0
3 years ago
HELPP!! 10 points 1 question . ( explain your answer )
Greeley [361]
50.25% off because 100÷199=50.25
4 0
3 years ago
Read 2 more answers
Rewrite y=a(1/3)^3t in the form y = a(1+r)^t or y = a(1 –r)^t
pshichka [43]

Answer:

sorry

Step-by-step explanation:

sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes

6 0
3 years ago
Other questions:
  • What is the range of this function?
    11·2 answers
  • Sadlier vocabulary workshop level f unit 6 vocabulary in context bizarre preferences are
    10·1 answer
  • What's simple random sampling? Is it possible to sample data instances using a distribution different from the uniform distribut
    14·1 answer
  • George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is
    9·1 answer
  • maria has 15 fewer apps on her phone than orlando. if the total number of apps on both phones is 29, how many apps are on each p
    12·2 answers
  • A facility has 150 beds and during a 30 day period they have 4,200 occupied bed days. What is their average percentage of occupa
    6·2 answers
  • Which of the following is the best estimate of the area of a circle that has a radius of 4 centimeters
    11·1 answer
  • 27Kg 1/4g + 67Kg 1/3g =
    15·1 answer
  • Help me pleaseguy3gkyubhukydihuxcgh asdi09adsvbgaxi90 bvsaia9
    5·2 answers
  • HaLPpppP please and thanks :)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!