MATHEMATICS HIGH SCHOOL

The sum of two numbers is 62 and their difference is 16.Which system of equations represents the word problem?

x + y = 62 and x - y = 16
x + y = 62 and 62-x = 16
x + 62 = y and x - 16 = y

Answers

Answer 1
Answer: x + y = 62 and x - y = 16 is your answer. hope this helps
Answer 2
Answer: x+y=62, x -y=16 Hope this helps you see ya

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What is √49/144 expressed in simplest form

Answers

Answer:

49/144

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 49 and 144 is 1

Divide both the numerator and denominator by the GCD

49 ÷ 1

144 ÷ 1

Reduced fraction:  

49

144

Therefore, 49/144 simplified to lowest terms is 49/144.

Answer:

7/12

Step-by-step explanation:

7 goes into 49 7x times

and

12 goes into 144 12x times

So if we simplify this, the answer would be

7/12

Simplify in picture below

Answers

Answer:

11

Step-by-step explanation:

Use PEMDAS
11 make sure you use pemdas

(I have a deadline in 3 hours :c ) Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $4.35 per pound, and type B coffee costs $5.40 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $780.90. How many pounds of type A coffee were used?

Answers

A=3B
4.35A+5.40B=780.95
Substitute 3B into A for the second equation:
4.35(3B)+5.40B=780.90
13.05B+5.40B=780.90
18.45B=780.90
B=42.33
Plug into equation 1:
A=3B
A=3(42.33)
A=126.98
The two equations would be:4.35a + 5.40b = 780.90and b = 3asubstitute:4.35a + 5.40(3a) = 780.90Multiply:4.35a + 16.2a = 780.90add like terms:20.55a = 780.9divide by 20.55:a = 38substitute into the other equation:b = 3(38)multiply:b = 114This means that 38 pounds of coffee were used for type A (variable a) and 114 pounds of coffee were used for type B (variable b)

What are the solutions to the equation (x – 2)(x + 5) = 0?

Answers

A product of two (or more) factor can be zero if and only if at least one of the factors is zero.

In other words, you cannot multiply two non-zero real numbers, and have zero as a result.

So, if we want the product of these two factors to be zero, at least one of them has to be zero.

The first factor is zero if

x-2 = 0 \iff x=2

The second factor is zero if

x+5 = 0 \iff x=-5

The solutions to the equation are x = 2 and x = -5.

To find the solutions to the equation (x – 2)(x + 5) = 0, you need to set each factor equal to zero and solve for x. When the product of two factors is equal to zero, one or both of the factors must be equal to zero.

Set x - 2 = 0 and solve for x:

x - 2 = 0

x = 2

Set x + 5 = 0 and solve for x:

x + 5 = 0

x = -5

The solutions to the equation are x = 2 and x = -5. When you substitute these values back into the original equation, you get (2 - 2)(2 + 5) = 0 and (-5 - 2)(-5 + 5) = 0, both of which evaluate to 0, confirming that these are indeed the solutions.

To know more about equation:

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Which expression is equivalent to 27 + 45?8(3 + 6)
8(19 + 37)
9(3 + 5)
9(18 + 36)

Answers

Answer:

9 (3 + 5)

Step-by-step explanation:

The given expression is 27 + 45

We can write both terms in factored form as

9×3 + 9×5

Now, since 9 is in both the factors. Hence, we can factored out 9

Factored out 9, we get

9 (3 + 5)

Therefore, the equivalent expression for 27 + 45 is 9 (3 + 5)

Answer:

9 (3 + 5) is the answer.

The grade of a road is 7 percent. what angle does the road make with the horizontal

Answers

it goes up or down for every 7 units..... slope angle
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