the mean of 4 numbers is 21. calculate the sum of the 4 numbers

Answer:

500

Step-by-step explanation:

Add the number of pizzas to find the total, 1020. Since there are 204 thick crusts out of the 1020 pizzas, we can conclude that there is a thick crust in every 5 pizzas. We can make the denominator 2500, making the fraction 500/2500, thus we know there will 500 thick crust pizzas out of the next 2500 pizzas he sells.

x=4

y=2

z=5

2x2 + 3y3 + 4z

2.4.2 + 3.2.3 + 4.5

16 + 18 + 20

34 + 20

54

Answer:

76

Step-by-step explanation:

2*4^2 +3*2^3 + 4*5=32+24+20=76

The possible value for the length of the rectangle is 8 inches.

According to the given equation, 2l + 2w = 16, where l represents the length and w represents the width of the rectangle. We need to find a value for l that satisfies this equation.

To solve for l, we can rearrange the equation:

2l = 16 - 2w

l = (16 - 2w)/2

l = 8 - w

From this equation, we can see that the length, l, is equal to 8 minus the width, w.

Since the length and width of a rectangle cannot be negative, we need to find a positive value for l. We can choose a value for w and then calculate l.

For example, if we set w = 0, then l = 8 - 0 = 8. Thus, a possible value for the length of the rectangle is 8 inches.

In summary, the possible value for the length of the rectangle is 8 inches, based on the equation 2l + 2w = 16.

The equation shows that the length is equal to 8 minus the width, and by choosing a value for the width, we can calculate the corresponding length.

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Answer:

Jason eats 1/8=0.125 pounds of candy per day and it will take him 8 days to eat 1 pund of candy Hope Im not wrong

Step-by-step explanation:

The first year, he gets : 5000 x 2% = 100
The second year, he gets : 5100 x 2% = 102
The third year, he gets : 5202 x 2% = 104,04
The fourth year, he gets : 5306,04 x 2% = 106,128
The fifth (final) year, he gets : 5412,068 x 2% = 108,24136

So, in 5 years, he will get 100 + 102 + 104,04 + 106,128 + 108,24136 = 520,40936.

Hope it's correct?

Answer:
45.2x0.784

Step-by-step explanation:

This problem equals 35.4368, which has four decimal points

Answer:

the correct answer is A. y = - x - 4

Step-by-step explanation:

Just insert the graph into a calculator and solve.

every time x goes up two, so does y. except the y is 4 units lower than the x.

The correct statement regarding the number of solutions for each system is given as follows:

The first system of equations is defined as follows:

4(3 + y) - y= 6 + 3(y + 2)

Applying the distributive property and then combining the like terms, the solution is obtained as follows:

12 + 4y - y = 6 + 3y + 6

12 + 3y = 12 + 3y.

The two sides are equal, hence the system has an infinite number of solutions, that is, all real numbers are solutions.

The second equation is given as follows:

-8(w + 1) = 2(1 - 4w) - 9

Hence:

-8w - 8 = 2 - 8w - 9

-8w - 8 = -8w - 7

0w = 1

Division by zero, hence the system has no solution.

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you should use desmos

Answer: y= -10x - 10

Step by step explanation: All you need to do is distrubute then solve for y and then graph, and that is all you need to do, you can do this on Desmos

The study conducted by the Gallup News Service, asking 1,004 adults about their level of concern regarding global warming, is a cross-sectional study.

The study conducted by the Gallup News Service, where 1,004 adults were surveyed and asked about their level of concern regarding global warming, can be categorized as a cross-sectional study. In a cross-sectional study, data is collected at a specific point in time from a sample of individuals or units from a population. In this case, the survey gathered information from a group of adults at a particular time to understand their level of concern regarding global warming.

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Answer:

The answer is \frac{2A}{h} -b_2=b_1

Step-by-step explanation:

Given that the area of a trapezoid is ;

A=1/2 (b₁+b₂)h

When the equation is solved for b₁ it will be;

A=1/2 (b₁+b₂)h

This can be written as;

A=h/2 (b₁+b₂)

Multiply both sides by 2/h

2A/h = b₁+b₂

Make b₁ subject of the formula

2A/h - b₂ = b₁

Answer:

Step-by-step explanation:

Answer:

$455.4 For The Year

Step-by-step explanation:

Kevin  pays $ 37.95 per month for his cell phone with unlimited minutes

First, We know that there are 12 months in 1 year.

Therefore, 1 year = 12 months

The cost per month = $ 37.95

So, have to find the cost for 12 months

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

So your solution to the problem is $455.4 Cost for the year.

Answer:

3,120

Step-by-step explanation:

hope it will help you

Answer:5,800

Step-by-step explanation:

The average depreciation of the equipment per year is $9200.

The monetary value of an asset decreases over time due to use, wear and tear or obsolescence, this is called as depreciation.

Now it is given that,

Cost of the equipment = $85,600

current value of the equipment is given as $30,400

Duration for which the equipment was used = 6 years

Now the depreciation of the equipment is given as,

Total depreciation in the price of the equipment

                       = Cost of the equipment - current price of the equipment

So, total depreciation = $85,600 - $30,400 = $55,200

Now,

Average yearly depreciation = Total depreciation ÷ Years used

Average depreciation = 55,200/6

⇒Average depreciation = $9200

Therefore, average depreciation of the equipment per year is $9200.

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The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

\((x',y') = (-x,y)\) (Eq. 1)

ii) Translation three units in the -y direction:

\((x'',y'') = (x', y'-3)\) (Eq. 2)

iii) Translation four units in the -x direction:

\((x''',y''') = (x''-4, y'')\) (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) \(D(x,y) = (-1, 4)\) Given.

2) \((x',y') = (1,4)\) By (Eq. 1)

3) \((x'',y'') = (1, 1)\) By (Eq. 2)

4) \(D'(x,y) = (-3,1)\) By (Eq. 3)/Result

Answer:

Solve the first equation for y

Step-by-step explanation:

Answer:

The answer is x > -7

Step-by-step explanation:

The starting out equation is:

-8(x - 3) + 5x < 9(x + 12)

Once you've got your equation down, you have to remove the parentheses by doing distributive property, and multiplying the -8 by x and -3, [-8(x-3)] and the 9 by x and 12, [9(x + 12)]

Once you do that, you have something like this:

-8x + 24 + 5x < 9x + 108

Then you have to add like terms. That means adding -8x to the positive 5x, and only that since thats the only possible way.

-3x + 24 < 9x + 108

When that's over, you have to move the variable(in my case, 9x) to the left-hand side and change its sign:

-3x -9x + 24 < 108

You see that instead of positive 9x, like it was, it's now negative 9x since we changed its location.

And now do the same to the constant (in my case, 24) to the right-hand side. make sure to reverse its sign aswell, so now it's a negative 24. Now it looks a bit like this:

-3x -9x < 108 -24

Collect like terms (subtracting -9x by -3x, subtracting 108 by -24)

-12x < 84

Now that we isolated the variable, we have to divide it by -12.

KEEP IN MIND!!

When doing work like this, at some point you have to divide the variable by itself, and same thing to the other side. When the variable is a positive number and you're dividing by a positive number, DONT REVERSE THE GREATER/LESS (whatever you have) SIGN!!

When you are dividing by a negative number,

REVERSE THE SIGN!!

I always forgot this and got it wrong back then!!

Back to the lesson, itll look like this when dividing

-12x < 84

------ ------

-12x -12x

Once you divide it, you'll get this

x > -7

I hope this helped!

Answer: 4 to the power of 4

Step-by-step explanation:

When we divide two numbers with powers, we subtract the powers from each other.

6 - 2 = 4

I hope it helped!

Answer:

256

Step-by-step explanation:

4^6 = 4 x 4 x 4 x 4 x 4 x 4 = 4096

4^2 = 4 x 4 = 16

4096/256 = 256

Hope this helped!

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

see below

Step-by-step explanation:

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

Answer:

0.1515

Step-by-step explanation:

To convert 1 mile to 800 feet, we can set up a proportion:

\( \frac{1 mile}{5,280 feet} = \frac{x \: miles}{800 feet} \)

where x is the number of miles equivalent to 800 feet. To solve for x, we can cross-multiply:

\({5,280 feet}^{x miles} = {800 \: \: feet}^{1 mile}\)

Dividing both sides by 5,280 feet, we get:

\(x miles = \frac{800 feet}{5,280 feet} \\ x miles = 0.1515151515 miles\)

Therefore, 1 mile is equivalent to approximately 0.1515 miles or 800 feet is equivalent to approximately 0.1515 miles.

Answer: 9.42

Step-by-step explanation:

C = 2πr

C = 2 x 3.14 x 1.5

= 9.42

The value of the investment multiplier is 5.

Given that:

Consumption function: C = c0 + c1(Y − T)

Investment function: I = I0 − m(r)

Government spending: G = G0

Tax revenue: T = t0 + t1Y

Where, C = Consumption

GDP = Y = C + I + G

Disposable income = Y − T

Private saving = Y − T − CG

= Government spending

I = Investment

t0 = autonomous tax component

t1 = endogenous tax component

m(r) = investment multiplier

Finding the equilibrium values of GDP, consumption, disposable income, and private saving

To find the equilibrium values, we need to set Y = GDP,

C = Consumption, T = Tax revenue and

S = Private Saving.

So, Y = C + I + GY = c0 + c1(Y − T) + I0 − m(r)GDP

= (c0 + I0 + G0 + t0) + (c1 − m(r))Y − t1Y.

GDP = \([c0 + I0 + G0 + t0] / [1 − (c1 − m(r) + t1)]\)

Now, we need to calculate the value of consumption and private saving

Disposable income = Y − T

Disposable income = Y − (t0 + t1Y)

Disposable income = (1 − t1)Y − t0

Consumption = c0 + c1(Y − T)

\(= c0 + c1(1 − t1)Y − c1t0\)

Private saving = \((1 − t1)Y − (t0 + c0 + c1(1 − t1)Y − c1t0)\)

Private saving = \((1 − c1)(1 − t1)Y + (c0 − c1t0)\)

The expression of the investment multiplier in terms of c0 and/or c1 is:

\(ΔY / ΔI = 1 / [1 − c1 + m'(r)]\)

The values of c0 and c1 are 48 and 0.6, respectively.

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Answer:

1 is false

2 is false

3 is true

Step-by-step explanation:

The pediatrician writes an order for robinul injection 35 mcg iv now. The nurse will administer 0.035 ml of Robinul injection for 35 mcg of medication.

The question is about calculating the number of milliliters a nurse should administer for a 35 mcg Robinul injection. Let's first understand the meaning of Robinul.Robinul is a medication used to treat excess sweating or salivation in the human body. It reduces the secretion of fluids by blocking the chemicals that stimulate their production. It is available in the form of tablets, injection, or solution.

The nurse is instructed to administer 35 mcg of Robinul injection now.Let's calculate the number of milliliters of Robinul injection to be administered by the nurse.

Now, 1 ml = 1000 mcg35 mcg = (35/1000) ml= 0.035 ml (rounded to the nearest hundredth).

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In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:BE is equal to 72.

Step-by-step explanation: They are similar triangles. We know CD and BC. So we can find the comparison between the two. And we see that BC x 7 = CD. So the same will be said for BF and FE. We have BF is equal to 9. So 9 x 7 = 63. However, now we need to add the two together in order to get BE. Because BF + FE = BE. So 9 + 63 = 72