Write the following in simplified radical form.<br> 3/40

If f(x)= x^2+5x and g(x)=2x+1 find f(5) + g(6)

Serhud [2]

Answer:

-15

Step-by-step explanation:

6 0

4 years ago

A pack of cinnamon-scented pencils sells for $8.00. What is the sales tax rate if the total cost of the pencils is $8.64?

vesna_86 [32]

Selling price of a pack of cinnamon scented pencils = $8
Cost of the pack of pencils along with tax = $8.64
Then
Amount of tax taken = (8.64 - 8.00) dollars
   = 0.64 dollars
Percentage of sales tax taken = (0.64/8.00) * 100
   = 64/8
   = 8 percent
So the rate of sales tax for the pack of cinnamon scented pencils is 8%. I hope the procedure is clear enough for you to understand. You can use this method for solving similar problems without requiring any help from outside.

3 0

3 years ago

Read 2 more answers

SAVE ME. Please Answer my Questions Clevers.

Vladimir [108]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: $\mathbb{N}$

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as $\mathbb{Z}_{\ge 0}$

<u>Whole numbers less than or equal to 20</u>: $A\leq 20, A \subset \mathbb{Z}_{\ge 0} \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}$

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=\frac{11}{21} \approx 52\%$

<u>C. Divisible by three</u>

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=\frac{6}{21} \approx 30\%$

<u>D. Square of 2</u>

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

$\sqrt{0} =0$

$\sqrt{1} =1$

$\sqrt{4} =2$

$\sqrt{9} =3$

$\sqrt{16} =4$

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

$2x+3x=180 \implies 5x=180 \implies x=36$

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of 9x-4<13x-7 (domain, x e z) ?

$x \in \mathbb{Z}\\$

$x>\frac{3}{4}$

$x\in \left(\frac{3}{4},\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10} \implies \boxed{x = \frac{2}{15}}$

Q5. which one is the equation of the line passing through the origin and having a slope 4?

$y=mx+b$

$m: \text{slope}$

$b: \text{y-intercept}$

B. Y= 4x

7 0

3 years ago

Ken wants to buy some coffee mugs, m , that cost $5 each and some ground coffee, C, that costs $8 a pound. He has $25.

ValentinkaMS [17]

The inequality representation of the scenario is :

5m + 8c ≤ 25
m = 1 and c = 1

Number of mugs = m
Cost per mug = $5
Number of ground coffee = c
Cost per ground coffee = $8
Total amount to spend = $25

(Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend

Representing as an inequality : 5m + 8c ≤ 25

Combination of m and c that makes the inequality true :

Using trial by error :
m = 1 and c = 1
5(1) + 8(1) ≤ 25 ; 13 ≤ 25

Hence, m = 1 and c =1 are valid values for the expression.

Learn more : brainly.com/question/15748955

3 0

3 years ago

Raul's pet store has a play area that can fit up to 30 cats and dogs. His son is allergic to cats so the pet store never has mor

a_sh-v [17]

Answer:

Step-by-step explanation:

Let :

C = number of cats

D = number of dogs

Raul's pet store has a play area that can fit up to 30 cats and dogs.

C + D = 30

The pet store never has more than 8 cats in the play areas.

(there can never be 9 or more cats)

As or the number of dogs :

C + D = 30

C = 30 - D

Since we know that C < 9. To get the number of dogs allowed, we just plug in 30 - D for C.

30 - D < 9

30 - 9 < D

or

(dogs have to be 22 or more)

5 0

2 years ago

Write the following in simplified radical form. 3/40