The sum of two numbers, x and y, is 12. The difference of four times the larger number and two
times the smaller number is 18. Whích system of equations should you use to find the two
numbers?
O
A X-y=12
4x - 2y = 18
O B x + y = 12
X-y= 18
C x+y=12
2x - 4y = 18
D x + y = 12
4% - 2y = 18

Answer:

13 + 24 = 37 the answer is 24

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 37-13= 24

Answer:

C is your answer

Answer: This is the answer. please give me the brainliest. Thanks

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

\(x^\frac{2}{3}\)

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

\(x^\frac{4}{3}\) × \(^\frac{1}{3}\)       \(x^\frac{2}{3}\) × \(^\frac{1}{3}\)

\(x^\frac{4}{9}\)            \(x^\frac{2}{9}\)

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

Answer:

Answer:

60

Step-by-step explanation:

Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.

To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

Answer:

46

Step-by-step explanation:

Answer:

4.18 inch^3

Step-by-step explanation:

use the sphere volume formula :

V = (4/3)*pi*r^3

the radius of this sphere is 2/2 = 1 ( diameter / 2)

plugging in the values :

V = (4/3)*3.1415*1^3 = 4.18

a. To calculate the present value of investment A at a discount rate of 21 percent, we need to find the present value of each cash flow and then sum them up. The present value of each cash flow can be calculated using the formula PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

Using the given cash flows and the discount rate of 21 percent, we have:

PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4 + 11,000 / (1 + 0.21)^5 + 11,000 / (1 + 0.21)^6

Calculating this expression will give us the present value of investment A.

b. Similarly, to calculate the present value of investment B, we use the same formula and substitute the cash flows for investment B:

PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4

c. For investment C, we use the formula with the cash flows for investment C:

PV = 16,000 / (1 + 0.21)^1 + 48,000 / (1 + 0.21)^2

Calculating these expressions will give us the present values of investments B and C, respectively.

The present values of investments A, B, and C are $37,461.97, $29,930.99, and $48,003.16 respectively.

To calculate the present value of the cash flows from every investment, we use the present value of annuity formula: PV = C * [(1 - (1 + r)^-n ) / r], where PV is the present value, C is the constant cash flow per period, r is the discount rate, and n is the number of periods.

(a) Investment A: C = $11,000, r = 21% or 0.21, n = 6 years. PV = $11,000 * [(1 - (1 + 0.21)^-6) / 0.21] = $37,461.97.

(b) Investment B: C = $11,000, r = 21% or 0.21, n = 4 years. PV = $11,000 * [(1 - (1 + 0.21)^-4) / 0.21] = $29,930.99.

(c) Investment C has 2 cash flows: $16,000 at end of year 1 and $48,000 at end of year 3. We calculate their present value separately and sum those up. PV = $16,000 / (1 + 0.21)^1 + $48,000 / (1 + 0.21)^3 = $13,223.14 + $34,780.02 = $48,003.16.

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Answer:

The stratigraphic relationships that are documented as a principal part of the record of the excavation form a fundamental part of the overall site record and underpin the relationships between the site's other recorded individual archaeological components.

Step-by-step explanation:

Answer:

the square root of 9/4, 5/3, the square root of 5, and then 2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. √(9/4)

2. 5/3

3. √(5)

4. 2.5

Answer:

18 and 29 are the following terms in the series pattern as a result.

Step-by-step explanation:

The series pattern 1, 3, 4, 7, and 11 is given, and the two next numbers in the series is to be found

Let's find the logic behind the series pattern arrangement

Term one is one, and term two is three.

The third term appears to be the sum of the first and second terms

= 3+4 = 7                                                                                            

The fourth term appears to be the sum of previous two terms

= 4+7 = 11

Accordingly, the following term should be equal to the sum of the two terms before it, which is 7+11 = 18 , using the same pattern.

Similarly Next term is = 11+18 = 29 , using the same pattern.

18 and 29 are the following terms in the series pattern as a result.

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Answer:

215 dollars

Step-by-step explanation:

Don't take my word on it but that should be correct.

Answer:

220 + 11x

Step-by-step explanation:

food booth:  125 + 5x

game booth: 95 + 6x

add both together:  220 + 11x

Answer:

A. \((3b+8)^2\)

Step-by-step explanation:

\(9b^2+48b +64\\=(3b)^2 + 2\times 3b\times 8 +(8)^2\\=(3b+8)^2\)

The radius of the base of the vase in cm to 2 dp is 0.08m

The formula for calculating the pressure of a object is expressed as;

Pressure = Force/Area

Area = Force/Pressure

Area = 15/750

Areas = 0.02m²

Since the area of the circular base is πr², then;

πr² = 0.02

r² = 0.02/3.14

r = 0.0798m

Hence the radius of the base of the vase in cm to 2 dp is 0.08m

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Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer: y=-4x-1

Step-by-step explanation:

-1=-4(0)+b

-1=0+b

b=-1

y=-4x-1<==Graph this equation

Answer:

See attachment.

Step-by-step explanation:

Slope-intercept form of a linear equation:

\(y=mx+b\)

where:

Given:

Substitute the given values into the general formula to create an equation for the line:

\(\implies y=-4x-1\)

Graph the line

As the slope is negative, the line slopes downwards (as the x-value increases by 1, the y-value decreases by 4).

The y-intercept is the point at which the line crosses the y-axis, so when x = 0.  Therefore, place a point at (0, -1).

Substitute any other value of x into the equation of the line to find another point on the line:

\(x=2 \implies y=-4(2)-1=-9 \implies (2,-9)\)

Plot point (2, -9).

Draw a straight line through both plotted points.

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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The number that probably is an irrational number is 1.6490221...

An irrational number is a number that cannot be expressed as a finite decimal or a fraction.

The number 0 is not irrational.

The number 1.6490221... is an example of a decimal that goes on forever, which is the characteristic of an irrational number.

The number 3/4 can be expressed as a fraction and is therefore not irrational.

The number -5 is not irrational.

Therefore, the answer is 1.6490221..., which is probably an irrational number.

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The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486

Compound interest is given by:

\(A=P(1 + \frac{r}{n} )^{nt}\)

where t is the period, r is the rate, P is the initial amount, A is the final amount and n is the times compounded.

Given P = 2950, r = 0.084, n = 4, t = 2, hence:

\(A=2950(1+\frac{0.084}{4} )^{4*2}\\\\A=\$3486\\\\For \ r=0.078, A=3742,t=2,n=1:\\\\3742=P(1+\frac{0.078}{1} )^{1*2}\\\\P=\$3220\)

The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486

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Answer: the answer is Sarah

Step-by-step explanation:

Just got it correct on Plato

Step-by-step explanation:

The question is not clear to me. Kindly post a picture of it instead

Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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Answer:

The train would travel 30km in 30 minutes.

Step-by-step explanation:

Speed of train = 60km/hr

30 minutes = I hour ÷ 2

If 30 minutes is equal to half an hour, and it takes an hour for the train to travel 60 km, then you would have to half 60 km to find the length travelled in 30 minutes.

Equation: 60km ÷ 2 = 30km

Answer:

yes

Step-by-step explanation:

Answer:

yes? That's right. ummmm lol

Answer:

Step-by-step explanation:

Give an example of a proportion using only numbers.

When all numbers are given (A, B, C, D) in order to assess whether the proportion is true or false it will calculate the value of the division of A by B (A/B), and the value of the division of C by D then compares it. If the two resulting values are equal then the ratio is TRUE, otherwise is FALSE. Few examples of calculations 1.

How do you know it is a proportion?

A proportion is just an expression setting two ratios equal to each other, using different absolute numbers in the fractions. Proportions are written like ratios are, for example, a/b = c/d or a:b = c:d. You don't need a fancy ratio calculator function to solve most simple ratio problems.

Answer:

D is the right ans after solving eqn we get two value of x and they are 1 and 3