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
Valentin [98]
2 years ago
14

Question 7 (Essay Worth 5 points)

Mathematics
1 answer:
ryzh [129]2 years ago
7 0

\huge\text{Hey there!}

\huge\textbf{Equation:}

\mathbf{5(2x - 8) + 15 = 15}

\huge\textbf{Solving for the equation:}

\mathbf{5(2x - 8) + 15 = 15}

\huge\textbf{Distribute 5 within the parentheses: }

\mathbf{5(2x) + 5(-8) + 15 = 15}

\mathbf{10x - 40 + 15 = 15}

\huge\textbf{Combine the like terms:}

\mathbf{10x + (-40 + 15) = 15}

\mathbf{10x - 25 = 15}

\huge\textbf{Add 5 to both sides:}

\mathbf{10x - 25 + 25 = 15 + 25}

\huge\textbf{Simplify it:}

\mathbf{10x = 15 + 25}

\mathbf{10x = 40}

\huge\textbf{Divide 10 to both sides:}

\mathbf{\dfrac{10x}{10} = \dfrac{40}{10}}

\huge\textbf{Simplify it:}

\mathbf{x = \dfrac{40}{10}}

\mathbf{x = 40 \div 10}

\mathbf{x = 4}

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{\mathsf{x = 4}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

You might be interested in
What is the area of the composite figure below?
musickatia [10]

Answer:

33 sq cm.

Step-by-step explanation:

Let's calculate each shape serperately,

--------

For the square, the area is 25 since

5 × 5 = 25

-------

For the rectangle, the area is 8:

4 × 2 = 8

-----

Add these together to get 33 sq cm

Have a good day :)

3 0
3 years ago
The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th
Yanka [14]

Answer:

Step-by-step explanation:

It is given that the length of triangle base is 26, then let ABC  be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.

Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then

Since,  triangle ABC is similar to triangle ADE, thus using basic proportions, we get

\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}

\frac{AD}{AD+DB}=\frac{DE}{BC}=\frac{AE}{AE+EC}

\frac{a}{a+b}=\frac{c}{26}=\frac{d}{d+e}

Taking the first two equalities,we get

\frac{a}{a+b}=\frac{c}{26}

c=\frac{26a}{a+b}

Thus, the length of the segment between triangle legs is \frac{26a}{a+b}

7 0
4 years ago
⭐️ Cant figure this out?!
Natali [406]
The Answer to your question ∑ (2k -10) from 3 to k=6 is -4
8 0
4 years ago
According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 4 inches on the map?
Juli2301 [7.4K]

Answer:

60 miles

Step-by-step explanation:

So if 1 inch = 12 miles, you need to find 4 inches. There are multiple ways to achieve this. However ratios/proportions might be easiest.

if 1/12 = 4/x, x is the value of miles. Cross multiply so you get this:

1           4

-     =    -       =        60 = x

12          x

If x equals 60, that means that 4 inches equals 60 miles on the map.

You could also just find an equal fraction by multiplying the top and bottom both by 4.

6 0
3 years ago
67. The Goldbach Conjecture. Recall that a prime number is a
Korvikt [17]

Answer:

<u>Test the conjecture for 10 even numbers</u>

10 = 3 + 7

12 = 5 + 7

14 = 7 + 7

16 = 5 + 11

18 = 5 + 13

20 = 7 + 13

22 = 11 + 11

24 = 11 + 13

26 = 13 + 13

28 = 11 + 17

<u>Do you think the conjecture is true? Why or why not?</u>

I believe the conjecture is true because the sum of two odd numbers is an even number and you can find two prime odd numbers for every even number whose sum is that even number.

4 0
3 years ago
Other questions:
  • Use the work shown to find the solutions of the quadratic equation. x2 – x –3/4=0 x2 – x = 3/4
    11·1 answer
  • Refer to the coordinate system shown below. Write the ordered pair that names point M.
    10·2 answers
  • Is 2 a solution to 2x+5&gt;-5
    7·1 answer
  • Marshall invest $4500 into an account bearing 6% interest compounded semiannually. How much interest will be added into this acc
    11·1 answer
  • Line symmetry exists as the result of which kind of a transformation
    14·1 answer
  • Use prime factorization to find the GCF of 140 and 180
    8·2 answers
  • Is the product of two integers positive, negative, or zero? How can you tell?
    14·1 answer
  • Please help I need to get this done will brainlist if right
    10·1 answer
  • Estrella spent the weekend reading. On Friday night, she read for 1/3 hour. On Saturday she read for 1/6 hour, and on Sunday she
    5·1 answer
  • Which is the graph of a function and it’s inverse? THE ANSWER IS NOT D. Please help I’ll mark brainliest!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!