A cook makes vegetable barley soup by mixing barely into vegetablebroth In the amounts shown. Choose all of the statements that are true or false.

Answer:

It is the first one

Step-by-step explanation:

Open circle is greater or less than.

Closed circle is greater than or equal to and less than or equal to.

Answer: –55x + 570

Step-by-step explanation:

The person above me completely missed the question so this is the right one

Answer: 7

Step-by-step explanation:

Answer:

7 is the GCF of 21 and 28

Step-by-step explanation:

The GCF of 21 and 28 is 7. To calculate the greatest common factor (GCF) of 21 and 28, we need to factor each number (factors of 21 = 1, 3, 7, 21; factors of 28 = 1, 2, 4, 7, 14, 28) and choose the greatest factor that exactly divides both 21 and 28, i.e., 7.

Answer:

14-3.25= 10.75

Step-by-step explanation:

14 is the whole board.so when you cut 3.25 it would be equal to 10.75

Answer:

15/100 this is the fraction for 15%

Answer:

Step-by-step explanation:

y - 3 = -(x + 2)

y - 3 = -x - 2

y = -x + 1

2(x +1) = 16

Use the distributive property ( multiply 2 by each term inside the parenthesis).

2x + 2 = 16

Subtract 2 from both sides:

2x = 14

Divide both sides by 2:

x = 7

Answer:

7

Step-by-step explanation:

2x+2=16

2x=16-2

x=16-2/2

x=14/2=7

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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The product of two linear functions having same variables will be a quadratic function where as the The product of two linear functions having different variables will be a linear function.

Linear function is the function whose degree is 1.

Degree of a function is the highest power of the variable of the function.

Let us take two examples.

1. Suppose the two linear functions are -

f(x) = 2x + 3 and g (x) = x + 5

The product of f(x) and g(x) will be

(2x + 3)(x + 5)

=2x (x + 5) + 3 (x + 5)

= 2x² + 10x + 3x + 15

= 2x² + 13x + 15

Here, f(x) and g(x) are the functions having same variables so there product is a quadratic function.

2. Suppose the two linear functions are -

f(x) = 2x + 3 and g (y) = y + 5

The product of f(x) and g(y) will be

(2x + 3)(y + 5)

=2x (y + 5) + 3 (y + 5)

= 2xy + 10x + 3y + 15

Here, f(x) and g(y) are the functions having different variables so there product is a linear function.

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The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Answer:

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Step-by-step explanation:

Answer:

60 cm

Step-by-step explanation:

109^2-91^2=x^2

11881-8281=x^2

d^2=3600

x=60

Answer:

B: $90.

Step-by-step explanation:

The expression for this problem can be represented as

Total Cost = $44 + 2c

Since one chair costs $23, the total cost would be:

Total Cost = $44 + 2($23)

2 × 23 = 46

Total Cost = $44 + $46 = $90

The total cost is $90, choice B.

Answer:

The sample median number of occupants is 1.

Step-by-step explanation:

Median:

The measure that separates the lower half of the distribution from the upper half.

In this question:

Total of 100 cars.

64 have 1 occupant.

19 have 2 occupants

12 have 3 occupants

3 have 4 occupants

2 have 5 occupants.

Median:

In the cumulative distribution

100/2 = 50

While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.

The sample median number of occupants is 1.

Value of the given expression j³k/h0 is 12

h = 8

j=-1

h = 8

In order to do this, we need to change the values of h, j, and k in the given statement = (-1)^3 (-12) / 8^0  ....(1)

Find the denominator by using (1)

(-1)³ (-12) / 1

Analyze each exponent.

= 12/1

Hence, j³k/h0 = 12

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Complete Question -

What is the value of this expression if h=8 ,j= -1 , and k= -12? j³k/h0

The population reached in the year 2079 is 1,65,400 and the total population in the year 2081 would be 1,80,623.

To find the population reached in the year 2079, we need to consider the initial population and the growth rate, as well as the number of people who migrated.

The initial population in 2078 was 1,20,000. The population growth rate is 4.5%, which means the population will increase by 4.5% each year.

To calculate the population in 2079, we first need to calculate the increase in population due to the growth rate:

Population increase due to growth rate = 1,20,000 * (4.5/100) = 5,400

Then we add the number of people who migrated:

Total population in 2079 = Initial population + Population increase due to growth rate + Number of migrants

= 1,20,000 + 5,400 + 20,000

= 1,45,400 + 20,000

= 1,65,400

To calculate the total population in the year 2081, we need to consider the growth rate and the population in 2080.

The population in 2080 would be the population in 2079 plus the population increase due to the growth rate:

Population increase due to growth rate in 2080 = 1,65,400 * (4.5/100) = 7,444

Total population in 2080 = 1,65,400 + 7,444

= 1,72,844

To calculate the total population in 2081, we need to consider the growth rate and the population in 2080:

Population increase due to growth rate in 2081 = 1,72,844 * (4.5/100) = 7,779

Total population in 2081 = Population in 2080 + Population increase due to growth rate in 2081

= 1,72,844 + 7,779

= 1,80,623

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The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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Answer:it might be A

We want to find the equation of the line in slope intercept form with the following values.

Slope = 1.3 and y-intercept ( 0, -6)

The equation of a line with slope m and y intercept (0,c) is;

Thus, the equation of the line is;

Answer:

9 7/40

Step-by-step explanation:

3 4/5 + 5 3/8

First we need to get a common denominator of 40

3 4/5 * 8/8 = 3 32/40

5 3/8 *5/5 = 5 15/40

Add the fractions together

3 32/40+ 5 15/40

8  47/40

Rewriting

8 + 40/40 + 7/40

8 + 1+ 7/40

9 7/40

Step-by-step explanation:

please mark me as brainlist please

Answer:

B. 3x-2=7

Explanation:

To determine the equation that has the solution x=3, we substitute x=3 in each option and pick that which is true.

Option A

Option B

Since this holds, the correct equation is Option B.

Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Using the concept of proportion, amount of gas needed to travel 250 miles is 9.5 gallons.

Given that,

Ms C's car uses 20 gallons of gas to travel 400 miles.

We have to first find the number of gallons of gas to be used to travel 250 miles.

Amount of gas used to travel 400 miles = 20 gallons

Using the concept of proportion,

Amount of gas used to travel 1 mile = 20 / 400

                                                           = 0.05 gallon

Amount of gas used to travel 250 miles = 0.05 × 250

                                                                  = 12.5 gallons

There is already 3 gallons of gas in her car.

Amount of gas needed = 12.5 - 3 = 9.5 gallons

Hence the amount of gas needed is 9.5 gallons.

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The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

C) B = -1

Step-by-step explanation:

→ −7+ b = -8

→ b = -8 + 7

→ [ b = -1 ]

Thus, option (c) is answer.