I opened a grocery account at my bank with $250. Every week thereafter, I withdraw $90 from the account to pay for groceries. If x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.

You need to buy 3.625 yards of fabric to have enough for your project.

To find out how many yards of fabric you need to buy, you can subtract the amount of fabric you already have from the total amount of fabric needed for the project.

Total amount of fabric needed - Fabric you already have = Fabric you need to buy

6.5 yards - 2.875 yards = 3.625 yards

so we can say that:

You need to buy 3.625 yards of fabric to have enough for your project.

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x=negative 1

y=1

showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.

12x+15=312x+15=3

2 Solve for xx in 12x+15=312x+15=3.

x=-1x=−1

3 Substitute x=-1x=−1 into y=2x+3y=2x+3.

y=1y=1

Answer:

x= -1

y= 1

Step-by-step explanation:

since y=2x+3; plug into other equation

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

(distribute 5 to 2x+3)

2x+10x+15=3

(add like terms)

12x= -12

divide by 12 to get x alone

x=-1

now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.

y=2(-1)+3    

y=-2+3

y=1

Answer:

$3.12

Step-by-step explanation:

31.20 divided by 10 = 3.12

The expected value be 2.37 for the given data.

The expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.

E ( X ) = μ = ∑ x P ( x )

         = 1(0.21)+2(0.38)+3(0.27)+4(0.11)+5(0.03)

         = 2.37

Hence the expected value be 2.37 for the given data.

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The product of the numbers is B. thirteen and one eighth.

From the information, we are negative four and one-sixth times negative three and fifteen hundredths.

The product will be:

= (-4 1/6) × (-3 15/)

= - 4 1/6 × 3 3/20

= - 25/6 × -63/20

= 13 1/8

The correct option is thirteen and one eighth.

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Answer:

1/2

Step-by-step explanation:

Rise/Run

i think its 1/2

Answer:

The slope of the line would be -2/3.

Step-by-step explanation:

Using the formula y2-y1/x2-x1, plug in the numbers of the two points and then you get an answer of -2/3, which would be the slope of the line.

Answer:

20

Step-by-step explanation:

y⁻⁸ written as positive exponent is 1/y⁸

Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices

We have different  Laws of Indices, but the one applicable to this question is the reciprocal law

Reciprocal Law: If the index is a negative value, then it can be shown as the reciprocal of the positive index raised to the same variable:

8⁻² = 1/8²   and b⁻⁶ = 1/b⁶

Let's use the law to rewrite y⁻⁸:

y⁻⁸ = 1/y⁸

Therefore, the positive exponent of y⁻⁸ is 1/y⁸. So option c is the answer

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The absolute threshold is defined as the minimum detectable stimulus or intensity.

The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.

In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.

The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.

Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.

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Answer:

4802 rounded to the nearest 1000 is 5000

Answer:

5,000

Step-by-step explanation:

We are rounding all of the elements in the equation, 2 rounds to 0, 0 rounds to 0, 8 rounds to 9, 9 rounds to 5,000.

Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer  is option  (a).

A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.

The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.

a) They enable academics to investigate a theory's construct validity.

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Good measures are robust, valid, objective, simple, and precisely definable.

In the context of measurement, good measures possess certain qualities that make them reliable and useful. Based on the options provided, the following qualities apply:

Robust: Good measures are robust, meaning they are resistant to outliers or extreme values that may affect the accuracy of the measurement.

Valid: Good measures are valid, meaning they accurately measure what they are intended to measure and provide meaningful information.

Objective: Good measures are objective, meaning they are free from bias or subjective interpretation, ensuring consistency and fairness.

Simple: Good measures are simple, making them easy to understand and apply. They avoid unnecessary complexity and confusion.

Precisely definable: Good measures have clear and precise definitions, ensuring consistent interpretation and allowing for replication in different contexts.

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Term 11=a+10d

Here

a=10

d= 7-10= -3

Term 11;

=10+(10×-3)

=10+(-30)

= -20 is the answer

Thank you Hope it helps dear

Answer: -32

Step-by-step explanation:

a=10, d = 7-10 = -3

First find which term is -62

an = -62

a = (n-1) d= -62

Putting values

10 + (n-1)(-3) = -62

10 + (n(-3) -1 (-3) = -62

10 - 3n + 3 = -62

13 - 3n = -62

-3n = -62-13

n = 75/3 = 25

We need to find out 11th term from the last term ie., 25 - 10 = 15th term

So we need to find a14

an = a +(n-1) d

a15 = 10+ (15-1) (-3)

= 10 + 14 (-3)

= 10 -42

= -32

So the 11th term from the 15th term from the first = -32

The probability of rolling a prime number is  1/6, according to the question.

Probability is computed by dividing the number of possible outcomes by the total number of possible outcomes. Probability and odds are two distinct ideas. Odds are calculated by dividing the chance of something happening by the probability of it not happening.

To get the total number of outcomes for two or more events, multiply the total number of outcomes for each event. Because it includes multiplication to find a product, this is known as the product rule for counting. Possible Outcomes – a list of all the possible outcomes of an event. For example, while rolling a dice, the possible results are 1, 2, 3, 4, 5, 6.

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Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

Answer:

HCF=8

LCM=480

Step-by-step explanation:

prime factor trees

Answer:

60

Step-by-step explanation:

48=2×2×2×2×3

64=2×2×2×2×2×2

80=2×2×2×2×5

H.C.F.=2×2×2×2=16

L.C.M=2×2×2×2×2×2×3×5

L.C.M.÷H.C.F.=(2×2×2×2×2×2×3×5)/(2×2×2×2)=2×2×3×5=60

Answer:

i just took the test the answer is A,B and C.

Step-by-step explanation:

Answer:

ABC

Step-by-step explanation:

Answer: 35 the digits both together = 8

Reverse it and add 2.

53+2 =55

55- 35 = 20

The required answer is 35 :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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

Answer:

Let's solve your equation step-by-step.

4x−(8−x)−2=9x−20+x−5

Step 1: Simplify both sides of the equation.

4x−(8−x)−2=9x−20+x−5

4x+−8+x+−2=9x+−20+x+−5

(4x+x)+(−8+−2)=(9x+x)+(−20+−5)(Combine Like Terms)

5x+−10=10x+−25

5x−10=10x−25

Step 2: Subtract 10x from both sides.

5x−10−10x=10x−25−10x

−5x−10=−25

Step 3: Add 10 to both sides.

−5x−10+10=−25+10

−5x=−15

Step 4: Divide both sides by -5.

Answer:

x=3

    hope this helps (>'-'<)

Answer:

A.

Step-by-step explanation:

your equation has no exponents, it is linear.

Answer:

A

Step-by-step explanation:

The product of the numbers on the tile and the die will be a square is 11/60. The probability value, which is derived using a number between 0 and 1, determines the degree of confidence by how close it is.

The probability calculation mathematical formula, which it describes, calculates all the odds for a thing to happen in the context of particular random events. It is possible to feel less confident in the outcome the closer a probability is near the unit value or, conversely, the closer it is to zero. The probability value, which is derived using a number between 0 and 1, determines the degree of confidence by how close it is.

given

Total results equal 10 * 6 = 60.

The squares that are fewer than 60 will be written.

The numbers are 1, 4, 9, 16, 25, 36, and 49.

These are the options: (1,1), (1,4), (2,2), (4,1), (3,3), (9,1), (4,4), (8,2), (5,5), (6,6),(9,4).

Out of 60 options, 11 options are available.

likelihood is 11/60.

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The concrete required to make the tank be 27.4122 m³.

Given, a concrete tank has an external diameter of 10 m and an internal height of 3 m. If the walls and bottom of the tank are 30 cm thick.

External diameter = 10 m

Height = 3 m

Thickness = 0.3 m

External radius = 5 m

Internal radius = 5 - 0.3 = 4.7 m

Volume = πh(e.r² - i.r²)

Volume = (3.14)(3)(5² - 4.7²)

Volume = 9.42(9.7)(0.3)

Volume = 27.4122 m³

Hence, the concrete required to make the tank be 27.4122 m³.

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Considering the sequence

10,5,0,-5...

The difference between the succeive terms are equal

5 - 10 = 0 - 5 = -5 - 0

Hence there is a common difference. An arithmetic sequence has a common difference hence the sequence is arithmetic.

Answer:

Option (1)

Step-by-step explanation:

Median:

A line joining the vertex to the midpoint of opposite side of the triangle.

Altitude:

Perpendicular drawn from a vertex to the opposite side of the triangle.

Angle bisector:

A line bisecting the angle of a triangle.

Perpendicular bisector:

A perpendicular line joining the vertex and the mid point of the opposite side of the triangle.

Hence, Option (1) Median will be the correct option.  

Answer:

The monthly installment for the hire purchase of the motorbike is GHC 27.00

Step-by-step explanation:

To calculate the monthly installment for the hire purchase, we can divide the total cost by the number of months:

Monthly installment = Total cost / Number of months

In this case, the total cost is GHC 540.00 and the number of months is 20:

Monthly installment = GHC 540.00 / 20

Monthly installment = GHC 27.00

Therefore, the monthly installment for the hire purchase of the motorbike is GHC 27.00

The statement 'When all the points fall on the regression line, the correlation coefficient, r would equal + 1 or -1. If the relationship is negative, then "r " = -1; if positive, then"r" = +1' is false because  When all the points fall on the regression line, the correlation coefficient, r would equal + 1 or -1 regardless of whether the relationship is positive or negative.

The statement is false because the correlation coefficient, r, is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1 regardless of whether all the points fall on the regression line or not.

If all the points fall on the regression line, then the correlation coefficient, r, will be either +1 or -1, but this is not determined by whether the relationship is positive or negative.

If the relationship is positive, then r will be positive, and if the relationship is negative, then r will be negative. The sign of r simply indicates the direction of the linear relationship, while the magnitude of r indicates the strength of the relationship.

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Answer:

Step-by-step explanation:

you could use multiplication or addition,

Answer:

Step-by-step explanation: