4) Choose the correct inequality for this situation.
The Walter family budgets a maximum amount of $124 for a camping trip.
Mr. Walter already spent $40. How many people x can go canoeing if the
cost is $21 per person?
A- 21x + 40 >_ 124
B- 21x + 40 <_124
C- 40x + 21 < _124
D- 21x + 40 > 124

Answer:

First one: 97* Second one: 83*  Third one: 97* Fourth one: 83*

Step-by-step explanation:

Yeah i'm sorry if it's wrong but I hope it helps.

Answer:

B.× =158.11

IS THE ANSWER

x=158.11 is the solution to 24•log(2x) = 60, rounded to two decimal places

Answer:

-5/4  or -1.25 is the slope

Step-by-step explanation:

Slope (gradient)  = rise/run or (y1 - y2/x1 - x2)

We will take the points so that we have a whole number:

Therefore the two points are:

(10,0) and (50, -30)

Now the gradient;

(y1 - y2/x1 - x2)

0 - 50/10 - (-30)

-50/40

-5/4

-1.25

Answer:

needd points

Step-by-step explanation:

thx

Usando medidas proporcionales, se encuentra que tardarán 50 días en construila.

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

El voluma de agua es directamente proporcional a el número de días, el número de horas diárias y a el número de obreros, o sea:

\(V = kdho\)

En que k es la constant de proporcionalidad.

De esto, encuentra-se el valor de k.

\(V = kdho\)

\(80000 = k(40)(10)(15)\)

\(6000k = 80000\)

\(k = \frac{80000}{6000}\)

\(k = 13.33\)

O sea

\(V = 13.33dho\)

\(V = 13.33dho\)

\(40000 = 13.33d(6)(10)\)

\(d = \frac{40000}{60 \times 13.33}\)

\(d = 50\)

Tardarán 50 días en construila.

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To calculate the weight of the liquid in the tank, we need to find the volume of the liquid first. the total weight of the liquid in the tank is approximately 1951 pounds.

Since the tank is in the shape of a hemisphere, its volume can be calculated using the formula V = (2/3)πr^3, where r is the radius of the hemisphere. Thus, the volume of the hemisphere tank would be (2/3)π(3)^3 = 18π cubic feet.

However, since the tank is only partially filled with liquid, we need to find the volume of the liquid in the tank. As the tank is half-filled, the volume of liquid will be half the volume of the hemisphere. Thus, the volume of the liquid in the tank is (1/2) x 18π = 9π cubic feet.

Now that we know the volume of the liquid, we can calculate its weight using the density of the liquid. The density of the liquid is given as 69 pounds per cubic foot.

Thus, the weight of the liquid in the tank would be 69 x 9π = 621π pounds. Rounding off to the nearest full pound, we get the total weight of the liquid in the tank as 1951 pounds (since π is approximately equal to 3.14).

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A sampling technique used when groups are defined by their geographical location is cluster sampling. Hence, option A is correct.

Sampling technique refers to the method of selecting or choosing members from the given set of population.

Under cluster sampling method, population is divided or splitted into groups. The key objective is to minimize the cost and time taken.

For example: If a NGO wants to study the rural communities, the state is divided into small groups also known as clusters. Instead of visiting and studying all the locations a random cluster will be choosen and studied. Minimizing time and cost involved. However, it contains more sampling error as it might not represent the entire population accurately.

Therefore, Option A is the correct answer.

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Answer: is there a Pic it would help

Step-by-step explanation:

Answer:  103

Step-by-step explanation:

Chicago cubs have won about 103 games.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The Chicago Cubs won 64% of 161 regular season games they played.

∴ let us assume that they have won x no. of games.

So, 64% of 161 can be numerically written as,

∴ (64/100)×161 = x.

x = 0.64×161.

x = 103 games they have won.

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Answer:

a) The watch is cheaper in Geneva.

b)  The watch is cheaper by £20

Step-by-step explanation:

a) In which city is the watch cheaper?

Step 1. Translate Pounds into Swiss Francs.

£145 * 1.55 = 224.75 CHF

Step 2. Determine which price is higher.

224.75 is greater than 193.75.

Step 3. Always answer a Word problem in complete sentences.

The watch is cheaper in Geneva.

b) By how much is it cheaper?

224.75 - 193.75 = 31

Translate CHF to Pounds.

31 / 1.55 = 20

The watch is cheaper by £20.

Answer:

X= -4 and X =2.

Step-by-step explanation:

use the graph .... and if you wanna be sure.

you use the quadratic formular.

Answer:

You could first convert each to an improper fraction. If they don't have common denominators, then find a common denominator and use it to rewrite each fraction. Then, subtract the fractions and simplify.

Step-by-step explanation:

if wrong pls forgive me pls

mark brainliest if im right pls

Answer:

Absolute Value

Step-by-step explanation:

Absolute Value is very useful in finding the distance between two points on the number line. The distance between any two points a and b in the number line is

|a-b| or |b-a|.

The distance between points A and B can be represented as AB and the distance can be found using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We have two points A and B:

The distance between A and B can be found using the distance formula.

Let point A is (a, b) and point B is (c, d)

The distance between points A and B can be represented as:

Using the distance formula:

\(\rm AB=\sqrt{(c-a)^2+(d-b)^2}\)

From the above expression, the distance cannot be negative because the square root of any number cannot be negative.

Thus, the distance between points A and B can be represented as AB and the distance can be found using the distance formula.

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Answer:

Mr.Green washed the most laundry with .375 of it done

what remains is .291

Step-by-step explanation:

3/8 or 3 divided by 8 is .375

1/3= .3333 repeating or rounded to .334

.375+.334= .709

1.000 - .709= .291

hopes this helps

Answer:

1. Mr. Green washed more laundry 2. 7/24 of the laundry still needs to be washed

Step-by-step explanation:

If you find a common denominator you can compare them. I used the common denomiator of 24. Next, you need to change both fractions so that they have the same denominator. To do that we have to multiply both the numerator and denominator of 3/8 by 3. When you do that, you end up with 9/24. Then you have to do the same for 1/3 but this time multiplying the numerator and the denominator by 8. That will leave us with 9/24 and 8/24 which proves that Mr. Green did more laundry.

For the second question, we will need to add the two amounts of laundry already washed and then find out how much remains from there. We can use the fractions that already have a common denominator from the explanation above. Now we have to add 9/24 and 8/24 together. Once we add them together, we will get 17/24 which is how much laundry is already done. Now, we need to take the remaining amount from 17/24 which is 7/24, and that represents how much laundry sitll needs to be washed.

(sorry if this is confusing but I hope it helped!)

Answer: 27, 28 and 29

Step-by-step explanation:

Since the panels take three consecutive numbers of bolts to attach to the wall, let the numbers be y, y+1 and y+2.

y+y+1+y+2 = 84

3y+3=84

3y = 84 - 3

3y = 81

y = 27

Therefore, the bolts are 27, 28 and 29 respectively

Answer:

a) 1.07, b) 0.1423

Step-by-step explanation:

Answer:

m∠A = 9°

Step-by-step explanation:

\( \sin 7A = \cos 3A \\ \\ \sin 7A = \sin(90 \degree - 3A) \\ \\ 7A = 90 \degree - 3A\\ \\ 7A + 3A= 90 \degree \\ \\ 10A= 90 \degree \\ \\ A = \frac{90 \degree}{10} \\ \\ m \angle A =9 \degree\)

The value 1200 represents the initial number of bacteria in Dr. Silas's study. The value 1.8 represents the growth factor of the bacteria. In the second study, the value of 1000 represents the initial number of bacteria. The difference of 1200 and 1000 indicates the disparity in the initial population between the two studies.

In the function b1(t) = 1200(1.8)^t, the value 1200 represents the initial number of bacteria when Dr. Silas begins her study. It is the starting point for the growth of the bacteria population. As time progresses, the population grows exponentially based on the growth factor represented by 1.8.

Similarly, in the second study modeled by the function b2(t) = 1000(1.8)^t, the value of 1000 represents the initial number of bacteria in that study. This indicates that the population size in the second study starts with a different value compared to the first study.

The difference between 1200 and 1000 (i.e., 1200 - 1000 = 200) represents the discrepancy in the initial population between the two studies. It indicates that there is a variation in the starting point of the bacterial populations being studied. This difference could arise due to various factors such as different experimental conditions, sample selection, or other variables that might affect the initial number of bacteria in each study.

By comparing the two studies, Dr. Silas can analyze the growth patterns and other characteristics of the bacteria population under different conditions or experimental setups. The disparity in the initial populations allows for a comparison of the growth rates and behaviors of the bacteria in the two different studies, which could yield valuable insights into their dynamics and response to different environments.

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Answer:

3z + y = 1

Step-by-step explanation:

.........................

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

Answer:

Step-by-step explanation:

Dilating a segment can change the length.  TRUE

A dilated line segment is parallel to its preimage.  TRUE

Dilation is a transformation that allows you to resize an object. The correct options are C and E.

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

A translation is a transformation that moves every point in a figure in the same direction by the same amount, while dilation is a transformation that allows you to resize an object.

Therefore, the statements that are true are,

Hence, the correct options are C and E.

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Clark spends $ 12775 on these items which he does not need in a year (if we consider 365 days) where the average spend in a month is $35.

Clark finds that in an average month, he spends $35 on things he really doesn't need and can't afford.

Let us consider the month in consideration here to be of 30- days and ignore any months other number of days.

Thus, calculating the average, say x' , by formula, we get,

x' = (Summation of values of all observations ) / ( Number of observations)

⇒ 35 = Total spend / 30

⇒ Total spend = $ ( 35*30)

⇒ Total spend = $ 1050

Therefore, total spend on a year, that is 12 months (considering all months to be of 30- days ) = $( 1050*12) = $ 12600

But we know a year does not have 360 days. So we calculate the total spend on these 5 days where average month spend is $35 is $175.

Hence the total spend for a year with 365 days is = $( 12600 + 175 ) = $12775

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Answer:

solution,

\( {x}^{3} = 64 \\ or \: x = \sqrt[3]{64} \\ or \: x = \sqrt[3]{4 \times 4 \times 4} \\ x = 4\)

Hope this helps...

Good luck on your assignment...

Answer:

x=4

Step-by-step explanation:

x^3=64

it means same number multiply by it self three times to get 64

to find x you need to use cubic root because it is to the power 3

∛x^3=∛64

∛x*x*x=∛4*4*4 or ∛4^3

x= 4

Answer:

32

Step-by-step explanation:

Calculation for how much birdseed does she have left over

First step

(3*8*6*12) - 4-2*30

Second step

=[24+6*(10+2)] - 4-60

Third step

Let remove the bracket of (10+2)

=[24+6*10+6*2] - 4-60

Fourth step

=(24+60+12) - 4-60

Fifth step

=(84+12)-4-60

Sixth step

=96-4-60

Seventh step

=92-60

=32

Therefore the amount of birdseed that she have left over will be 32

For the given continuous random variable x:

(a) p(x < 4) = -8/27.

(b) p(3 ≤ x < 4) = -5/27

The continuous random variable x that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 x)/27.

(a) To find p(x < 4), we need to integrate the density function from x = 2 to x = 4:

p(x < 4) = ∫24 2(1 x)/27 dx

= (2/27) ∫24 (1 - x) dx

= (2/27) [(x - x2/2)]24

= (2/27) [(4 - 42/2) - (2 - 22/2)]

= (2/27) [(4 - 8) - (2 - 2)]

= (2/27) [(-4) - 0]

= (2/27) (-4)

= -8/27

So, p(x < 4) = -8/27.

(b) To find p(3 ≤ x < 4), we need to integrate the density function from x = 3 to x = 4:

p(3 ≤ x < 4) = ∫34 2(1 x)/27 dx

= (2/27) ∫34 (1 - x) dx

= (2/27) [(x - x2/2)]34

= (2/27) [(4 - 42/2) - (3 - 32/2)]

= (2/27) [(4 - 8) - (3 - 4.5)]

= (2/27) [(-4) - (-1.5)]

= (2/27) (-2.5)

= -5/27

So, p(3 ≤ x < 4) = -5/27.

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Answer:

100 mins

Step-by-step explanation:

total no of gallons pool can hold=4500

gallons pool already holds=1500

rate of adding water= 30 gallons per min

time he can continue filing= 4500-1500/30

=3000/30

=100 minutes (m value)

correct me if I'm wrong appreciate me if I'm good

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)