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andreev551 [17]
3 years ago
7

Sue's age is one year less than half her mother's age. The sum of their ages is 71 years. If x represents Sue's age, which equat

ion can be used to find her age?
A.3/2x-1=71

B. 2x+1=71

C.2x+2=71

D. 3x+2=71
Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0
Option A would be your answer. We know 71 is the product. We also know that Sues age is one year less than half her mothers age. -1 comes from the problem saying one year less. We can already eliminate the other 3 options at this point.
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B. Solve for the product of the following fractions. Express your answer in simples form.
sladkih [1.3K]

Answer:

  1. 5/9
  2. 1/5
  3. 1/7
  4. 5/54
  5. 1/4
  6. Hope it helps you
5 0
3 years ago
The difference of two numbers is 0.77. If the larger number is increased 5 times, then the difference becomes 77. Find the numbe
Lelu [443]

Let the two numbers are x and y

Let larger number = x

and smaller number = y

it means

x-y = 0.77

Now it says larger number is increased 5 times

So it now becomes 5x

So second equation becomes

5x -y =77

Now we have to solve these two equations

x-y = 0.77 and 5x-y = 77

multiply first equation by -1 and then add both equations

-x+y = -0.77

Now on adding we get

-x+5x +y -y = 77-0.77

4x = 76.23

Divide both sides by 4

x=19.0575

We get the larger number , now subtract 0.77 from this , we will get the smaller number

y=19.0575-0.77=18.2875

y=18.2875


Hence the larger number = 19.0575

Smaller number = 18.2875

8 0
2 years ago
Read 2 more answers
Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p repre
Anastasy [175]

Answer:

<h2>$26.25</h2>

<em><u>Solving steps:</u></em>

<em>Question:</em> <u>Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p represent the amount of money Sam had in his pocket. Which equation can you use to find the amount of money Sam had in his pocket? How much money did Sam have in his pocket?.</u>

<em>Find: </em><em> </em><u>How much money did Sam have in his pocket?.</u>

<em>Solution:</em><em> </em>Let the equation be

<h3><em>=> P = T </em><em>+</em><em>F</em></h3>

<u>p represent amount of money</u>

<u>p represent amount of moneyt represent total</u>

<u>p represent amount of moneyt represent totalf represent money found</u>

<h3><em>=> P = T </em><em>+</em><em> </em><em>F</em></h3>

<u>insert the values</u>

<h3><em>=> P = $19.75 </em><em>+</em><em> </em><em>$6.50</em></h3>

add<u> 19.75 from 6.50 </u>

<h3><em>=> P = </em><em> </em><em>26.25</em></h3>

<em><u>THEREFORE THE AMOUNT OF MONEY </u></em><em><u>SAM</u></em><em><u> HAVE IN HIS POCKET</u></em><em><u> IS ABOUT</u></em><em><u> </u></em><em><u> </u></em><em><u>$</u></em><em><u>26.25</u></em>

8 0
2 years ago
Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.
lbvjy [14]
Hello,

1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)

4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)

5:
From the vertex to ∞
[-1/4 , ∞)
7 0
3 years ago
Type the correct answer in the box,
HACTEHA [7]

<u>We'll assume the quadratic equation has real coefficients</u>

Answer:

<em>The other solution is x=1-8</em><em>i</em><em>.</em>

Step-by-step explanation:

<u>The Complex Conjugate Root Theorem</u>

if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).

The question does not specify if the quadratic equation has real coefficients, but we will assume that.

Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.

3 0
3 years ago
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