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3 years ago

Write an equivalent expression for 9 y + 2 y + 5 -2

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

An equivalent expression would be:

11y + 3

You would combine like terms, so 9y + 2y = 11 y and +5 - 2 = +3.

The simplest equivalent expression you would be able to have then is 11y + 3

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A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we

IRINA_888 [86]

Answer:

$52$ roses and $117$ sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is $4:9$ , we can represent how many there are of each as $4x$ and $9x$ , respectively. We know that there are $65$ more sunflowers than roses, so we can set up the following equation to solve for $x$ :

$4x+65=9x$

Solving for $x$ , we get:

$4x+65=9x$

$4x+65-4x=9x-4x$ (Subtract $4x$ from both sides of the equation to isolate $x$ )

$65=5x$ (Simplify)

$5x=65$ (Symmetric Property of Equality)

$\frac{5x}{5}=\frac{65}{5}$ (Divide both sides of the equation by $5$ to get rid of $x$ 's coefficient)

$x=13$ (Simplify)

Therefore, since $x=13$ , we know that there are $4x=4*13=52$ roses and $9x=9*13=117$ sunflowers. Hope this helps!

4 0

3 years ago

Calculate the slope of the line given the points (-2, 6) and (0, 4).

soldi70 [24.7K]

The answer is definitely A. Hope this helps!

4 0

3 years ago

Read 2 more answers

What value does the 2 represent in the number 0.826

hodyreva [135]

Answer:

hundredths

2 hundredths

4 0

3 years ago

If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t

Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x. Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting

(x + -5) equal to 3.464101615 and -3.464101615.

6 0

2 years ago

The difference between the simple and compound interest for a certain sum of money of 3 years at 5% per annum is Rs.61.0. Find t

miss Akunina [59]

5% interest compounded annually for 3 years multiplies the initial balance by

... 1.05^3 = 1.157625

5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.

The difference of these multipliers is

... 1.157625 - 1.15 = 0.007625

If the difference in account balance is Rs 61.00, then the invested principal amount P is

... P*0.007625 = 61.00

,.. P = 61.00/0.007625 = 8000.00

The sum of money is Rs 8000.

7 0

3 years ago