MATHEMATICS HIGH SCHOOL

Amanda’s dad is twice as old as she is today. The sum of their ages is 66. Find the ages of Amanda and her dad.

Answers

Answer 1
Answer:

Let amanda's age be x and her dad's age be y.

Amanda’s dad is twice as old as she,  therefore 2x=y

The sum of their ages is 66, therefore x+y=66

x+y=66

2x=y,

substitute.

2x+x=66

3x=66

Divide.

x=22.

plug it back in, 22+y=66, y=44.

Amanda's age is 22 and her dad's age is 44.

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Solve the system of equations by substitution.
X=-4y
X+5y=2

Answers

x= -4y  let this be equation 1
x+5y=2 let this be equation 2

substitute equation 1 in 2

-4y + 5y = 2

y=2

substitute the value of y in equation 1

x= -4y
x= -4(2)
x= -8

Answer:

It's simply:

x = (-8,2)

In ∆abc, what is the value of cos b?

Answers

c^2=a^2+b^2-2ab\cos\beta\n\n2ab\cos\beta=a^2+b^2-c^2\n\n\boxed{\cos\beta=(a^2+b^2-c^2)/(2ab)}

A certain shade of pink is created by adding 3 cups of white paint to 2 cups ofred paint. If 7 cups of white paint is used, how many cups of red paint is needed?

Answers

Answer:

10 1/2

Step-by-step explanation:

white : red

2 : 3

1 : 3/ 2

7 : 3/2 ×7

7 : 10.5

7 : 10 1/2

option 3 is the answer

Greetings from Brasil...

Let's apply rule of 3....

   WP              RP

    3    --------    2

    7    --------    X

3 · X = 7 · 2

3X = 14

X = 14/3

remember that

14/3 = 4 2/3

So, 7 WP = 4 2/3 RP

................................................

D  | d      

R   Q

so

D/d = Q R/d

Find the area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards long. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

area=6×11.4×13÷2=444.6 yd²

What is the domain of the discrete finite function F(x)?G(x) = {(–2, 1), (–1, 3), (1, 4), (7, 3), (2, 5)}
A. {–2, –1, 1, 2, 7}
B. {–2, 1, 3, 4, 5, 7}
C. {1, 2, 7}
D. {1, 3, 4, 5}

Answers

A. {–2, –1, 1, 2, 7}

Sara borrows $56 from her mother to buy a new pair of jeans. If she decreases her debt by $4 each week, how many weeks will it take her to pay off the whole amount she owes her mother? A. 15 weeks B. 16 weeks C. 12 weeks D. 14 weeks

Answers

Answer:

D. 14 weekend

Step-by-step explanation:

4x = 56

x = 56/4

14 weeks
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