Determine which choice best shows the distributive property of multiplication.

Question 3 options:

1 × 4 = 4 × 1


1 × 1 = 1


1 × (4 × 6) = (1 × 4) × 6


1 × (4 + 6) = (1 × 4) + (1 × 6)

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer:

   ◯ ( 3, \(\frac{1}{2}\) )  ,   ⬛(  \(1\frac{1}{2}\)  ,\(2\frac{1}{2}\)) ,   △( 0, \(4\frac{1}{2}\) )

Step-by-step explanation:

             x-coordinate                    y-coordinate

◯ ---            3                                           \(\frac{1}{2}\)

⬛ ---           \(1\frac{1}{2}\)                                         \(2\frac{1}{2}\)

△  ---             0                                         \(4\frac{1}{2}\)

Measure the unit grids on the graph, x and y, that's the x and y coordinate.

The measure of p in the diagram is,

m∠P = 45°

We have to given that;

PM is perpendicular to MO.

Now, If m ∠P = m∠2

then it's an isosceles triangle.

And, m ∠M = 90°, therefore it's an isosceles right triangle.

We know that,

the sum of measures of angles in a triangle is equal 180°.

Therefore we have the equation:

m∠P + m∠2  + m∠M = 180°

Substitute m∠M = 90° and m∠P = m∠2 = x:

x + x + 90° = 180°    

substract 90° from both sides

2x = 90°      

divide both sides by 2

x = 45°

m∠P = 45°

Thus, The measure of p in the diagram is,

m∠P = 45°

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Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)

\( \large \sf \: → x +38° + 75° = 180°\)

\( \large \sf \: → x + 113 = 180°\)

\( \large \sf→ x = 180°- 113°\)

\( \boxed{\large \bf→ x = 67° }\)

Answer:

divison

Step-by-step explanation:

3x=81

3x/3=81/3

27064 is take-home pay for the year.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Victor expects his gross income to be $48,000 this year,

State income tax of 4.95%,

22% of his gross income will be withheld forfederal income tax.

We need to calculate the income takes home by Victor.

Let us calculate what is 4.95% of 48000

4.95/100×48000

0.0495×48000

2376

So 2376 is deducted as State income tax .

Now 22% of his gross income will be withheld forfederal income tax.

22/100×48000

0.22×48000

10560

So the total deductions are 2376+10560=12936

So let us subtract deductions from expected income to calculate take home income.

48000-12936

27064

Hence 27064 is take-home pay for the year.

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Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

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The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

love to answer questions i cant see

Step-by-step explanation:

Answer:

the answer is 122

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

Alternate angle theorem applies here as the triangle in between will have an upper angle of 60 therefore x will be 60 as well.

Answer:

I got 49/40.

Hope this helps.

Answer:

\(1\frac{9}{40}\)

Step-by-step explanation:

Answer:

The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

Step-by-step explanation:

It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.

Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;

Furthermore, based on the given conditions, we will be formulating the following;

=> (25-22.84) / 12

=> 2.16/12

=> 216/100 × 1/12

=> 9/25 × 1/2

=> 9 / (25×2)

=> 9/50

=> 0.18 yards

Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

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Answer: 5^5

Step-by-step explanation:

Since 5x5x5x5x5 = 3,125

Using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. This method allows us to calculate both the value of many units from the value of one unit and the value of one unit from the value of many units. In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or fewer quantities are then determined. This method is known as the unitary method for this reason.

Given,

The cost of an ounce of medium soft serve = $0.56

The amount of soft serve in a medium size  = 6.5 ounces

We are asked to find the cost of the total amount of soft serve in a medium size.

This can be done using the unitary method.

If 1 ounce = $0.56

Then for 6.5 ounces, the cost is = 6.5 * 0.56 = $3.64

Therefore using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

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The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

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Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

a) 23,1 milions

b) en 2013 - 2014

Answer:

The formula for volume of a cone is area of a circle times height, divided by 3.

Therefore volume is pi times radius squared times height, divided by 3.

V = (3.14)(14)^2 (14)/3

V = (3.14) (196)(14)/3

V = (3.14) (2744)/3

V = 8616.16/3

V = 2872.05333

to the nearest hundredth is 2872.05 cubic yards.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

9x1=9

9x2=18

9x3=27

9x4=36

9x5=45

Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

Answer:

6sqr2, the 2nd option

Step-by-step explanat

Answer:

3 ft 9 in

Step-by-step explanation:

Answer:

3 ft 11 in

Step-by-step explanation:

Remember that when you convert inches into feet, there are 12 inches in 1 foot. So, if we simply divide 47 by 12:

47 / 12 = 3 feet 11 inches

So, the last option is correct, 3 ft 11 in

Hope this helps :)

The grams of agarose required to prepare a 0.8% (w/v) agarose solution is 0.48 grams.

To make a 0.8% (w/v) agarose solution in 1x TAE, you will need to calculate the grams of agarose required using the formula:

Grams of agarose = (volume of solution in ml) x (percentage of agarose solution)

In this case, the volume of solution is 60 ml and the percentage of agarose solution is 0.8%.

Grams of agarose = (60 ml) x (0.8%)

Grams of agarose = (60 ml) x (0.008)

Grams of agarose = 0.48 g

In conclusion, you will need 0.48 grams of agarose to make 60 ml of a 0.8% (w/v) agarose solution in 1x TAE.

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Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)