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A 64 ounce bottle of organic orange juice costs $14.72. What is the price

per ounce?;  0.23

Anna typed 600 words in 15 minutes. How many words can she type per

minute?; 40 words per minute

Answer:

C

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{27}[/tex]

= [tex]\sqrt{9(3)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex]

= 3[tex]\sqrt{3}[/tex]

Then

4[tex]\sqrt{3}[/tex] - 3[tex]\sqrt{3}[/tex]

= [tex]\sqrt{3}[/tex] → C

Answer:

Step-by-step explanation:

Average Speed = Total Distance / Total Time

Total Distance = 50+ 70 + 10 + 60 = 190 Miles

Total Time = 1 + 1 + 1/2 + 1/2 =  3 hours

Average speed = 190 / 3 = 63.3 mph

Answer:

132

Step-by-step explanation:

8×4×3 + 3×3×4

96+36=132

Answer:

9 pounds

Step-by-step explanation:

87.75 divided by 9.75 = 9

9

Answer:

[tex]Halfway = 4.5[/tex]

Step-by-step explanation:

Given

4 and 5

Required

Determine the halfway

This is calculated as:

[tex]Halfway = \frac{1}{2}(4 + 5)[/tex]

[tex]Halfway = \frac{1}{2}(9)[/tex]

Remove bracket

[tex]Halfway = \frac{1}{2} * 9[/tex]

[tex]Halfway = 4.5[/tex]

Answer: 4 1/2

Step-by-step explanation:

The shape has 9 sides.

Sum of interior angles = (n-2) x 180, where n is the number of sides.

Sum of interior angles = (9-2) x 180 = 7 x 180 = 1,260 degrees.

Answer:

We have

Side of polygon = 9

So,

By using the formula

(n - 2) × 180

(9 - 2) × 180

7 × 180

1260⁰

[tex] \\ [/tex]

Answer:

The answer is B 5.4 units

Step-by-step explanation:

The approximate value of PQ in the right angle triangle is 5.4 units.

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides can be found by trigonometric ratios.

Hence,

sin 50 = opposite / hypotenuse

sin 50 = PQ / 7

cross multiply

PQ = 7 sin 50°

PQ = 7 × 0.76604444311

PQ = 5.36231110183

PQ = 5.4 units

learn more on triangles here: https://brainly.com/question/14327616

#SPJ2

Answer:

38.42cm

Step-by-step explanation:

Given that the length of the sides of a rectangle are 30 cm and 24 cm.

The length of the diagonal can be obtiaed using Pythagoras rule

Length of the diagonal = hypotenus

Hypotenus = sqrt(opposite ² + adjacent ²)

Opposite and adjacent sides are 30cm and 24 cm

Hypotenus = sqrt(30² + 24²)

Hypotenus = sqrt(900 + 576)

Hypotenus = sqrt(1476)

Hypotenus = 38.419

Length of diagonal = 38.42cm

Answer:

find the size of angle O to the nearest degree

Answer:

Step-by-step explanation:

Volume of the cone

Height =2 √3

Base = 2cm

Answer:

[tex]Quarters = 41[/tex]

[tex]Dimes = 18[/tex]

Step-by-step explanation:

Given

[tex]Coins = 59[/tex]

[tex]Worth = \$12.05[/tex]

[tex]d = dimes[/tex]

[tex]q = quarters[/tex]

Required

The number of each coin

The total coins can be represented as:

[tex]d + q = 59[/tex]

[tex]1\ quarter = \$0.25 \\ 1\ dime = \$0.10[/tex]

So, the worth of the coin is:

[tex]0.25q + 0.10d = 12.05[/tex]

The equations to solve are:

[tex]0.25q + 0.10d = 12.05[/tex]

[tex]d + q = 59[/tex]

Make d the subject in: [tex]d + q = 59[/tex]

[tex]d =59 - q[/tex]

Substitute [tex]d =59 - q[/tex] in [tex]0.25q + 0.10d = 12.05[/tex]

[tex]0.25q + 0.10(59 - q) = 12.05[/tex]

[tex]0.25q + 5.9 - 0.10q = 12.05[/tex]

Collect like terms

[tex]0.25q - 0.10q = 12.05 - 5.9[/tex]

[tex]0.15q = 6.15[/tex]

Solve for q

[tex]q=\frac{6.15}{0.15}[/tex]

[tex]q=41[/tex]

Substitute [tex]q=41[/tex] in [tex]d =59 - q[/tex]

[tex]d = 59 - 41[/tex]

[tex]d = 18[/tex]

So:

[tex]Quarters = 41[/tex]

[tex]Dimes = 18[/tex]

Answer:

function f(x) = x + 3 has a zero at x = 3 since f(3) = 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B. 1527

Step-by-step explanation:

V=Ah===> πr²h

(9ft)²×3.14×6ft===>

254.34ft²×6ft≈1527

Answer:

1 or 2

Step-by-step explanation:

but om pretty sure its 2

Answer:

22

Step-by-step explanation: its 22 because 1/4 x 22= 5 1/2

Answer: x = 13.4

Step-by-step explanation:

1. Subtract 90 degrees and 33 degrees to get angle X, which is 57 degrees.

2. Using Laws of Sine, plug in the known elements of the triangle:

(16) / (sin(90)) = (x) / (sin(57))

3. Cross multiply, this will leave 16sin(57) = xsin(90)

4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))

5. Plug this into a calculator and your final answer should be 13.4

Answer: The conclusion is valid

Step-by-step explanation:

Number of students surveyed = 50

Number of students who visited a science museum = 20

Number of students who haven't visited a science museum = 30

Percentage of student that have visited a Science museum:

= 20/50 × 100

= 40%

The conclusion is valid based on the calculation.

Answer:

no bc its 1 chicken

Step-by-step explanation:

Answer:

uhhhh no

Step-by-step explanation:

Answer:

f(16)= -8

Step-by-step explanation:

f(16)= 1/3(4-16)2

Answer:

-8

Step-by-step explanation:

To answer this question, you must plug in the given 16 to the equation

f(16)= 1/3(4-16)2

f(16)= 1/3(-12)2

f(16)= 1/3(-24)

f(16)= -8

Note : a × b = 0 ==》 a = 0 Or b = 0

_________________________________

( 2x - 7 )( 5x + 75 ) = 0

2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2

===》 x = 3.5

Or

5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5

==》x = - 15

Step-by-step explanation:

(2x-7)(5x+75)=0

2x(5x+75) -7 (5x+75)=0

10x^2 + 150x - 35x - 525 =0

10x^2 + 115x - 525 =0

5(2x^2 + 23x - 105 ) =0

2x^2 +30x-7x - 105 =0

2x ( x + 15 ) -7 ( x + 15) = 0

(2x-7) (x + 15) =0

so, 2x-7=0 and x+15 =0

x = 7/2 and x = -15

#cancelicseboardexam2021

Answer:

The decrease is exponential.

Step-by-step explanation:

An exponential decrease is something like:

f(x) = A*(r)^x      with 0 < r < 1

A linear decrease is something like:

g(x) = -a*x + b               with a > 0

First ai general formula.

If you have a quantity Q, decreased by an X%, the new quantity will be:

New Quantity = Q - Q*(X%/100%)

Now let's look at the question:

Suppose that the original price of the computer component is K

And the price as a function of the year is P(y)

Then we know that, in the year zero, the price is K.

P(0) = K

One year after, the price decreases by 2.25%

Then:

P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)

After another year, we will have another decrease of 2.25%

Then:

P(2) =  K*(1 - 0.0225) -  K*(1 - 0.0225)*(2.25%/100%)

P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2

We already can see the pattern, we can expect that in the year y, the price of the component will be:

P(y) = K*(1 - 0.0225)^y

This clearly is an exponential decrease.

Answer:

when its a linear equation

Step-by-step explanation:

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Answer:

1.20 2.50 4.75 0.003 0.0053 0.0075

Step-by-step explanation:

Divide each percent by 100 to get the decimal form.

Sorry for not showing a diagram, but I hope this helps!

Answer:

B

Step-by-step explanation:

if the temp is at 7 then drop seven, the answer is 0

Answer:

16)  x = 11

17) C

Step-by-step explanation:

16) take square root of each side

17) look for the answer that has a +1 as the y-intercept and a positive slope

Answer:

x = 14

Step-by-step explanation:

x + 10 = 2x - 4

x + 10 - 10 = 2x - 4 - 10

x = 2x - 14

x - 2x = 2x - 2x - 14

- x = - 14

- x ÷ - 1 = - 14 ÷ - 1

x = 14

Answer:

you can make any triangle from the above measures

One-half times 22 times 23.1

One-half ties 15.9 times 31.9

The area of triangles is One-half times 22 times 23.1 and One-half ties 15.9 times 31.9. Then the correct options are A and E.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Triangle X Y Z has a base of 22 and a height of 23.1.

Then the area of the triangle will be

[tex]\rm Area\ triangle = \dfrac{1}{2} \times 22 \times 23.1[/tex]

The triangle also has a base of 31.9 and a height of 15.9.

Then the area of the triangle will be

[tex]\rm Area\ triangle = \dfrac{1}{2} \times 15.9 \times 31.9[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512