1. Write the interval shown on the number line
below
3 4 5 6 7 8
as an inequality
using set notation

Three more than nine times a number is at least five times the number.

Answer:

The answer is 24

Step-by-step explanation:

If the restaurant fee is $7.5 and the price is $14 per pizza, she has $52.5 to spend on the pizzas after we deduct the restaurant fee.

That means she can get 52.5 / 14 = 3.75 pizzas.

I hope this answer helps.

The total slices she can afford is 30 and this can be determined by using the unitary method and forming the linear equation.

Given :

The following steps can be used to determine the total slices she can afford:

Step 1 - Total cost to order one pizza is given by:

= 7.5 + 14

= $21.5

Step 2 - Let the total number of pizzas she can order be 'x'. So, the delivery fee plus the cost of the pizzas under $60 is represented by the equation:

14x + 7.5 = 60

14x = 52.5

x = 3.75

Step 3 - Now, according to the given data if one pizza contains 8 slices then 3.75 pizza contains:

[tex]= 3.75\times 8[/tex]

= 30 slices

The total slices she can afford is 30.

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Answer:

this is an algebraic equation because it has an unknown which is the alphabet

Step-by-step explanation:

-4(-5h-4)=2(10h+8)

-4 will multiply the ones in the bracket beside it

-4*-5h=20h

-4*-4=16

20h+16=

2 will multiply the ones in the bracket beside it

2*10h=20h

2*8=16

20h+16=

so we have 20h+16=20h+16

we take like terms

20h-20h=16-16

h=0

Answer:

D. AO

Step-by-step explanation:

The radius can be made with a line from a point in the circumference (end) to the middle.

Point A is on the circumference. Point O is in the middle. So, line segment AO is the radius.

The radius of a circle is a line drawn from the center of the circle to any point on the circumference of the circle.

The radius of the circle are AO, CO and BO.

From the attached diagram of the circle, we have:

[tex]O \to[/tex] center

There are three lines from center O to the circumference of the circle. The three points are: A, C and B.

This means that the radius of the circle are AO, CO and BO.

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Answer:

123.2 is the answer

Answer:

b.28% of the patients tested received the medication and experienced a decrease in blood pressure

Answer:

The second one

Step-by-step explanation:

The total of patients is 100% wich is equivalent to 1.

● 0.5 of them received medication and ● 0.54 of them experienced a decrease in blood pressure.

The intersection of both is worth 0.28

So out of 1, 0.28 took medication and experienced a blood pressure decrease

Answer:

3.162

Step-by-step explanation:

on a calculator type in sqrt of 10 and round it to three decimal places

Answer:

the answer should be no solution

Answer:

B

Step-by-step explanation:

Given

3(- n + 4) + 5n = 2n ← distribute and simplify left side

- 3n + 12 + 5n = 2n

2n + 12 = 2n ( subtract 12 from both sides )

2n = 2n - 12 ( subtract 2n from both sides )

0 = - 12 ← not possible

This indicates the equation has no solution

Comparing the types of solutions

A n = 3

Indicates that there is only one unique solution to the equation.

B no solutions

This is indicated when you solve and obtain a ridiculous statement, similar to the one obtained in part A, that is

0 = 12

C infinite solutions

This is indicated when you solve the equation and obtain

4 = 4 or - 3 = - 3

Answer:

b

Step-by-step explanation:

Answer:

i have nom idea

Step-by-step explanation:

i have no idea

Greetings from Brasil...

Follow the reasoning.

288 ÷ 2 = 144

and 144 its a perfect square (144 = 12²)

It is visible that if we multiply 288 by 1/2, we will obtain a perfect square, but we will do this via a simple equation

288 · X = 144

X = 144 ÷ 288

X = 0,5  ⇔ X = 1/2

Answer:

  see below

Step-by-step explanation:

You would use ...

Answer:

The amount each took home was 20 unit currency.

Step-by-step explanation:

We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140  apples, went to market and sold all their apples at the same price, and each  received the same sum of money.

Formula  : [tex]a \times n + (n - 1)[/tex], [tex](a + b)\cdot n + (n - 2)[/tex], [tex](a + 2 \cdot b) \cdot n + (n - 3)[/tex], [tex](a + 3 \cdot b) \cdot n + (n - 4)[/tex], [tex](a + 4 \cdot b) \cdot n + (n - 5)[/tex], [tex](a + 5 \cdot b) \cdot n + (n - 6)[/tex], [tex](a + 6 \cdot b) \cdot n + (n - 7)[/tex]

[tex]a \cdot n + (n - 1) = 20[/tex]

[tex](a + b) \cdot n + (n - 2)=40[/tex]

[tex](a + 2 \cdot b) \cdot n + (n - 3) = 60[/tex]

[tex](a + 3 \cdot b) \cdot n + (n - 4) = 80[/tex]

[tex](a + 4 \cdot b) \cdot n + (n - 5) = 100[/tex]

[tex](a + 5 \cdot b) \cdot n + (n - 6) = 120[/tex]

[tex](a + 6 \cdot b) \cdot n + (n - 7) = 140[/tex]

On solving :

n = 7, a = 2, b = 3

So,

[tex]2 \times 7 + 6 = 20[/tex]

[tex]5 \times 7 + 5=40[/tex]

[tex]8 \times 7 + 4 = 60[/tex]

[tex]11 \times 7 + 3 = 80[/tex]

[tex]14 \times 7 + 2 = 100[/tex]

[tex]17 \times 7 + 1 = 120[/tex]

Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :

2×1 + 6×3 = 20

5×1 + 5×3=20

8×1 + 4×3 = 20

11×1 +  3×3 = 20

14×1 + 2×3 = 20

17×1 + 1×3 = 20

20×1 = 20

Therefore, the amount each took home was 20 unit currency.

Answer:

$14

Step-by-step explanation:

Marissa has a Master's degree and earns annual salary of $80,400.

She works 40 hours per week for 48 weeks per year.

Her sister has a Bachelor's degree and earns an average of $58,000 per year.

She works 40 hours per week for 52 weeks per years.

Marissa works for a total of 40 × 48 = 1920 hours a year.

Her hourly wage = [tex]\frac{80,400}{1920}[/tex] = $42 (rounded up to nearest dollar).

Her sister works for a total of 40 × 52 = 2080 hours

Her hourly wage = [tex]\frac{58,000}{2080}[/tex] = $28 (rounded up to nearest dollar)

So Marissa's hourly wage is $42 - $28 = $14 more than her sister's hourly wage.

Answer:

a. 6 and 8.

c. 4 and 7

b. 29 and 30.

d. 17 and 23.

Step-by-step explanation:

Step-by-step explanation:

Since, the hiker are walking at different speeds they meet at a point not in the middle.

Let distance travelled by Hiker A (slower) be x at speed s.

So, distance travelled by Hiker B (faster) is (22 - x) at a speed (s + 1.1) .

[tex]speed \: = \frac{distance}{time} [/tex]

Solving equations 1 and 2, we get :

x = 8.8m and s = 2.2mph

Therefore,

Speed of Hiker A = 2.2 mph

Speed of Hiker A = 2.2 mphSpeed of Hiker B = 3.3 mph

Answer:

B

Step-by-step explanation:

[tex] \sqrt{19} + \frac{7}{2} \: is \: irrational \: \\ \because \: \sqrt{19} \: is \: irrational \: and \: \frac{7}{2} is \: rational \\ adding \: any \: rational \: number \: in \: irrational \: number \\ results \: in \: irrational \: number.[/tex]

Answer:

n = 0

Step-by-step explanation:

6 = 1 - 2n + 5

6 = 6 -2n

0 = -2n

n = 0

The value of n after solving the given equation 6 = 1 - 2n + 5 is the number, n = 0.

Given an equation:

6 = 1 - 2n + 5

It is required to find the value of n.

In order to find the value of n, the variable n has to be isolated to one side of the equation with the constant on the other.

Here, the variable is n.

The equation can be written as:

6 = -2n + 6

Subtract 6 from both sides.

0 = -2n

Now, divide both sides by -2.

0 = n

Hence, the value of n is 0.

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Answer:

C. 8^20/2^8

Step-by-step explanation:

(8^5/2²)^4

8^20/2^8

Answer: 3c^2+900

Step-by-step explanation: 30^2 is the only thing that can be simplified

Hello! Your answer is below... Remember : h = height and v = volume

Answer:

H = 15.35 cm

V = 690.75 m^

Step-by-step explanation:

(H= height, V = volume, ^= square, √ = square root )

1. divide 9/2

=4.5 cm

2. use the pythagorean theorem

H=√16^-4.5^

H=15.35

if your looking for volume

1. use the formula for volume of the pyramid which is:

1/3 x base area x height

or

base area x height /3

2. then you substitute

1/3 x (9)(15) x 15.35

or

(9)(15) x 15.35 /3

V= 690.75 m^

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

height =  h = 13.4 cm

volume =  V = 602.8 cm³

Step-by-step explanation:

area of a square base = 15 cm x 9 cm = 135 cm²

slant height of pyramid = 16m

solving height:   (see attached image)

first step is to take the diagonal base:

side of base 15 =  15 / 2 = 7.5cm

side of base 9 = 9 / 2 = 4.5m

diagonal base = sqrt ( 7.5² + 4.5²) = 8.75 cm

therefore

height² = slant height² - diagonal base²

h² = 16² - 8.75²

h = 13.4 cm

solving the volume:

V = 1/3 * area of square base * h

V = 1/3 * 135 * 13.4

V = 602.8 cm³

Answer:

$18

Step-by-step explanation:

1 pound of raisins = $2

1 pound of almonds = $5

Let the number of raisins be represented by a

Let the number of almonds be represented by b

We are told in the question that:

Six pounds of a trail mix contains 2 more pounds of raisins than almonds.

a + b = 6 pounds

Hence, Almonds = 2 pounds

Raisins = 4 pounds

The cost of the 6 pounds of trail mix

= 4 × $2 + 2 × $5

=$8 + $10

= $18

Answer:

The amount Trevor's family pay per minute on shower water is $0.005.

Step-by-step explanation:

The cost of water is,

Cost = $0.20/liter

Amount of water used over the entire month:

Amount of water used = 72 liters

Compute the total water cost as follows:

Total water cost = Amount of water used × Cost

                           = 72 × 0.20

                           = $14.4/liter

The average number of minutes each person showered is:

Average number of minutes = 480 minutes.

The number of people in Trevor's house:

N = 6

Compute the total amount of time the 6 person showered as follows:

Total amount of time = Average number of minutes × N

                                   = 480 × 6

                                   = 2880 minutes

Compute the pay per minute on shower water as follows:

Pay per minute on water = Total water cost ÷ Total amount of time

                                          = $14.4 ÷ 2880

                                          = $0.005

Thus, the amount Trevor's family pay per minute on shower water is $0.005.

Answer:

0.03

Step-by-step explanation:

Answer:

[tex]C = 700+0.22m[/tex]

Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]

Step-by-step explanation:

We are given that:

Cost of cell phone is $700.

Cost per minute for the first 500 calls is $0.22 per minute.

To find:

Function to model total cost of the cell phone bill for the first 500 minutes.

And domain of the function = ?

Solution:

Here, Total Cost is the sum of cost of cell phone, plus the cost of calls.

Total Cost = Cost of cell Phone + Cost of calls

We have the cost of cell phone as $700.

and cost of calls is $0.22 per minute up to 500 minutes.

Let the number of minutes for the calls is m. (m [tex]\leq[/tex] 500)

So, cost for m number of minutes of calls = m [tex]\times[/tex] cost per minute

cost for m number of minutes of calls = [tex]0.22 \times m[/tex]

Let the Total Cost be represented as C.

So, we can write the cost function as:

[tex]C = 700+0.22m \ \{0\leq m\leq500\}[/tex]

Domain of a function is the valid input value to the function for which the output is defined.

Here, the domain is [0, 500] i.e. 0 and 500 are inclusive.

So, the answer is:

[tex]C = 700+0.22m[/tex]

Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]

Answer:

B.   183 degrees.

Step-by-step explanation:

m arc MN = 360 - 107 - 177

= 360 - 284

= 76

m NMK =   76 + 107

= 183

The measure of the arc NMK will be 183°. Then the correct option is B.

The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.

The measure of the angle ∠MLK is 35°.

The major and minor arc is 117x and 107x.

We know that the angle ∠MLK is the half of the difference of the major arc to minor arc.

∠MLK = (arc KN – arc KM) / 2

    35° = (177x - 107x) / 2

    70° = 70x

        x = 1°

Then the measure of the arc KN will be

Arc NK = 177 x 1

Arc NK = 177°

We know that the sum of the arc KN and KMN will be 360°.

mNK + mNMK = 360°

 177° + mNMK = 360°

           mNMK = 360° – 177°

           mNMK = 183°

The measure of the arc NMK will be 183°.

Then the correct option is B.

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Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

[tex] { \sin }^{2} theta \: + {cos}^{2}theta = 1[/tex]

[tex] {cos}^{2} \: theta = 1 - {sin}^{2} \: theta[/tex]

[tex]cos \: theta = \sqrt{1 - { \sin }^{2}theta } [/tex]

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

Answer:

Step-by-step explanation:

( 4x - 2x³ ) + ( 5x³ - 4x + 5)

Remove the parenthesis

That's

4x - 2x³ + 5x³ - 4x + 5

Group like terms

We have

5x³ - 2x³ + 4x - 4x + 5

We have the final answer as

Hope this helps you

Answer:

4

Step-by-step explanation:

you would do 20÷5=x

to check it it would be 5x=20

5×4=20

Answer: X=4

Step-by-step explanation:

If your school has 20 clubs, 20 divided by 5 is 4

Answer:

Step-by-step explanation:

The variables are 'a' and 'b'. The number 3 is a coefficient.

__

The coefficient of 'a' is 1. A coefficient of 1 is rarely shown.

Answer:

3 and 5/6

Step-by-step explanation:

First you place the highest number divible by 6.

There is 18 that is divisble by 6.

3 and 5/6

(3(6) + 5)/6

23/6

The quotient as a mixed number 23 divided by 6 is [tex]3\frac{5}{6}[/tex]

The given fraction is 23/6

Twenty three divided by six

Twenty three is the numerator and six is the denominator

23/6 being an improper fraction, it can be further written as a mixed number consisting of a whole and a fractional part.

The quotient of 23 divided by 6 is 3 with a remainder of 5.

Therefore, it can be written as a mixed number as follows:

23 ÷ 6 = 3 remainder 5

23/6 = 3 and 5/6

Hence, the quotient as a mixed number 23 divided by 6 is [tex]3\frac{5}{6}[/tex]

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Answer:

18/100 as a decimal is:

0.18

Hope this helps! （づ￣3￣）づ╭❤～

Step-by-step explanation:

Answer:

0.18

Step-by-step explanation:

18 divided by 100 is 0.18 18 divided by 1000 is 0.018

you move the decimal to the left when you divided a number by ten how many zeros is how many times you move the decimal. every number is a decimal like if you have a number 20 it actually looks like 20. so when you divide it by a 10 or 100 to move the decimal to the left the same number of zeros in 100 so that would be  0.20 hope you understand