MATHEMATICS HIGH SCHOOL

Choose the fraction in simplest form that correctly expresses this ratio
27 to 54

Answers

Answer 1

Answer:

Answer:

1/2

Step-by-step explanation:

Fraction

27/54

Divide both the top and bottom by 27

27/27 = 1

54/27 = 2

1/2

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X + y = kx - y = k
The solution to the system shown is _____.
(0, k)
(2, 2)
(k, 0)

Answers

Answer:

(k,0)

Step-by-step explanation:

$x+y=k$

$x-y=k$

To solve for x and y we add both equations

$x+y=k$

$x-y=k$

---------------------------

$2x=2k$

Divide both sides by 2

$x=k$

Now plug in k for x and find out y

$x+y=k$

$k+y=k$

Subtract k on both sides

$y=0$

Ordered pair is (x,y) that is (k,0)

Hello,
Adding the 2 equations,
x+y+x-y=k+k ==>2x=2k==>x=k
if x=k, y=k-k=0
solution is (k,0)

Which type of variation is modeled in the table?joint
combined
direct
Inverse

Answers

Answer: inverse

Step-by-step explanation: inverse is the relationship between the variables in the table a direct variation.

A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in 0ne year?

Answers

2.5% of 5000 is 125. So in the first year you'll earn $125.

Final answer:

The interest earned on a $5000 deposit with a simple interest rate of 2.5% for one year is $125.

Explanation:

To calculate the interest earned on a savings account, you can use the formula: Interest = Principal × Interest Rate × Time. In this case, the principal (amount deposited) is $5000, the interest rate is 2.5% (or 0.025 as a decimal), and the time is 1 year. Plugging in these values, we get:

Interest = $5000 × 0.025 × 1 = $125.

Therefore, you will earn $125 in interest on your $5000 deposit after one year.

Learn more about Calculating Interest here:

brainly.com/question/33719909

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The image of a parabolic mirror is sketched on a graph. The image can be represented using the function y = x2 + 2, where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x-axis. How far away from the maximum depth is a point on the mirror that is inches in depth? 3 inches 4 inches 5 inches 6 inch

Answers

The equation of the parabola is
y = x2 + 2
where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x-axis

We are asked to solve for the distance from the center of the parabola or simply the value of y given a value of x of 2 inches.

Substituting:
y = 2^2 + 2
y = 6 inches

its not 6 i put that and got it wrong

Ryan buys a 2 kilogram bag of trail mix for a hike. He wants to make 5- ounce bags to share with his hiking friends. There are approximately 35 ounces in 1 kilograms. How many 5- ounces bags can Ryan make

Answers

Answer:14 bags

Step-by-step explanation:

35 ounces in 1 kg so 2 kgs is 70 ounces

70 divided by 5 ounces is 14

hope this helped!

Using the square root property: How would I solve this equation- (2x-3) Squared =18

Answers

$(2x-3)^2=18\ \ \ \ | make\ \sqrt{}\n\n|2x-3|=√(18)\n\n2x-3=√(18)\ \ \ or\ \ \ -2x+3=√(18)\n\n2x=√(18)+3\ \ \ \ or\ \ \ \ -2x=√(18)-3\n\nx=(√(9*2)+3)/(2)\ \ \ or\ \ \ \ x=(√(9*2)-3)/(-2)\n\nx=(3√(2)+3)/(2)\ \ \ or\ \ \ \ x=(-3√(2)+3)/(2)$