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
ICE Princess25 [194]
3 years ago
12

Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marcus? Choose the answer below tha

t is a viable solution to this problem. A. 10 B. 8 C. 5 D. 1
Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

(A) 10

Step-by-step explanation:

Let age of Marco's be "x" years

then according to question

Yolanda age will be "2x - 5"

Also in the question it is given that age Yolanda is 15 years.

then, 2x - 5 = 15

Adding 5 both sides of the equation, we will get

        2x = 20

Dividing both sides of the equality by 2, we get

         x = 10

therefore, Age of Marcus will be 10years

Option (A) is the correct option.

You might be interested in
Please help !!!!!!!!!!!
ElenaW [278]

Answer:11/1 11/2 11/3 11/4 11/5  /6

Step-by-step explanation:

3 0
2 years ago
Find the surface area of the prism.
boyakko [2]

Answer:

156 [in²].

Step-by-step explanation:

1) total area consists of six parts (all the details are in the attachment):

A=2A₁+2A₂+A₃+A₄;

2) according to the formula above:

A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].

6 0
2 years ago
Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth
taurus [48]

Answer:

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\

It is a homogeneous solution:

y_h(t)=c_1e^{-2i t}+c_2e^{2i t}

Now, we finding a particular solution.

y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\

we get

y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

7 0
3 years ago
the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence​
Crazy boy [7]

Answer:

The  sequence  is:

10, 30, 50, 70, 90.....................

Step-by-step explanation:

We have,

First term (a) = 10

Common difference (d) = ?

Sum of first 5 terms (S_{5}) = 250

or, \frac{n}{2} [{2a+(n-1)d}] = 250

or, \frac{5}{2} [2*10 + 4d]=250

or, \frac{5}{2} * 4[5+d]=250

or, 10(5 + d) =250

or, 5 + d = 25

∴ d = 20

Now,

2nd term = a + d = 10 + 20 = 30

3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50

4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70

5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90

8 0
3 years ago
2 5x2 - 19x + 12<br> Standard form
irina [24]

Answer:

5x 2 19x 4

9 6x 2 19x 2

factor 5x 2 19x 4

4x 2 19x 5 0

factor 6x 2 19x 7

6x 2 19x 36Factor 5x^2-19x+12. For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is . Tap for more steps... Factor out of . Rewrite as plus. Apply the distributive property. Factor out the greatest common factor from each group. Tap for more steps...

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • PLEASE HELP! I WILL MAKE YOU BRAINLIST!
    11·1 answer
  • Someone please help I don’t understand what this even is.
    6·1 answer
  • ⦁ Let x = 4.7 and solve both inequalities below. Show your work.
    5·2 answers
  • I NEED HELP ASAP Which of the following possibilities will form a triangle
    12·1 answer
  • EMERGENCY PLEASE HELP!!
    14·2 answers
  • Can you help me? The question is in the picture
    7·2 answers
  • What is the gcf of 99 and 54
    9·2 answers
  • What adds to give -14 but multiplies to give 48?
    9·2 answers
  • Number Machine #2
    5·1 answer
  • The ratio 7:5 is eqvivalent to 28
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!