A percent is a ratio that compares a number to 10.<br><br> True<br><br> False

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Lynna [10]

Answer:

157

Step-by-step explanation:

8.00 +(0.06x) = 18.27

0.08x = 18.27 - 6.00

0.08x = 12.56

12.56/0.08=

157

4 0

3 years ago

Mrs. Kelly creates a garden. She buys 15 flowers and 3 bushes for a total cost of $160.32. Each bush costs $11.50 more than each

m_a_m_a [10]

Each bush costs $18.49

Step-by-step explanation:

Mrs. Kelly creates a garden

She buys 15 flowers and 3 bushes for a total cost of $160.32
Each bush costs $11.50 more than each flower

We need to find how much each bush costs

Assume that the cost of each flower is $x and the cost of each

bush is $y

∵ She by 15 flowers and 3 bushes for a total cost $160.32

∵ The cost of each flower is $x

∵ The cost of each bush is $y

∴ 15x + 3y = 160.32 ⇒ (1)

∵ Each bush costs $11.50 more than each flower

- That mean equate y by x plus 11.50

∴ y = x + 11.50 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∵ 15x + 3(x + 11.50) = 160.32

- Simplify the left hand side

∴ 15x + 3x + 34.5 = 160.32

- Add like terms in the left hand side

∴ 18x + 34.5 = 160.32

- Subtract 34.5 from both sides

∴ 18x = 125.82

- Divide both sides by 18

∴ x = 6.99

Substitute the value of x in equation (2) to find y

∵ y = 6.99 + 11.5

∴ y = 18.49

Each bush costs $18.49

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

3 0

2 years ago

If she is right, the object is worth $25, if she is wrong, the object is worth $4. How high does the probability of the object b

pickupchik [31]

Answer:

The expected value for an event with outcomes:

{x₁, x₂, ..., xₙ}

Each one with probability:

{p₁, p₂, ..., pₙ}

Is just:

Ev = x₁*p₁ + ... + xₙ*pₙ

here we have two outcomes:

x₁ = the object worths $25

x₂ = the object is worth $4.

Each one with probability p₁ and p₂ respectively, such that:

p₁ + p₂ = 1

Then the expected value is:

Ev = p₁*($25) + p₂*($4)

Now we want to know how should be the probabilities, such that buying the object for $16 is whort.

Well, the purchase will be whort if the expected value is larger than $16.

This is equivalent to:

p₁*($25) + p₂*($4) - $16 > $0

Knowing that:

p₁ + p₂ = 1

we can rewrite:

p₂ = 1 - p₁

replacing that in the above inequality we get:

p₁*($25) + ( 1 - p₁)*($4) - $16 > $0

Now we can solve this for p₁

p₁*($25 - $4) + $4 - $16 > $0

p₁*$21 - $12 > $0

p₁*$21 > $12

p₁ > $12/$21 = 0.571

The probability of the object being authentic should be larger than 0.571 to take the gamble.

5 0

2 years ago

Factored form x^2 - 4x - 21?

babunello [35]

ANSWERS:

2

−

4

−

2

1

x^{2}-4x-21

x2−4x−21

Grouping

1

Use the sum-product pattern

2

−

4

−

2

1

x^{2}{\color{#c92786}{-4x}}-21

x2−4x−21

2

+

3

−

7

−

2

1

x^{2}+{\color{#c92786}{3x}}{\color{#c92786}{-7x}}-21

x2+3x−7x−21

2

Common factor from the two pairs

3

Rewrite in factored form

Solution

(

−

7

)

(

+

3

)

4 0

2 years ago

Make a the subject get a on its own x(a+2)=7

crimeas [40]

X (a + 2) = 7

First let's multiply out the brackets on the left side of the equation.
x (a + 2) --> Multiply everything inside the brackets by x.
xa + 2x = 7

Now, both elements of the left-hand side of the equation contain x, so we can divide both sides of the equation by x.

xa + 2x = 7
a + 2 = 7/x

To find a now, just subtract 2 from both sides.
a = 7/x - 2

7 0

3 years ago

Read 2 more answers

A percent is a ratio that compares a number to 10. True False