Zach saved x dollars over the last year. Mina saved more than Zach. Which equation can be used to find how much money Mina saved last year

Answer:

11

Step-by-step explanation:

\(since \: mean = \frac{sum \: of \: observations}{number \: of \: observations} \\ mean = \frac{110}{10} = 11 \\ therefore \: the \: mean = 11\)

Answer:

y = 4

Step-by-step explanation:

First isolate y

-4 + 3y = 8

3y = 8 + 4

3y = 12

y = 4

Answer:

Y=4

Step-by-step explanation:

3y=12

y=4

\(\bold{\huge{\blue{\underline{ Solution }}}}\)

Ellis bought total 24 soda cans but in packs

Each pack contain 6 cans

Therefore,

Total packs bought by Ellis

\(\sf{ = }{\sf{\dfrac{ 24}{6}}}\)

\(\sf{ = 4 \: packs }\)

Ellis bought 4 packs of soda cans

So,

Total cost paid by the Ellis

\(\sf{ = 4 {\times}{\pounds} 1.80 }\)

\(\sf{ = {\pounds}7.20 }\)

Thus, The total cost paid by Ellis is £7.2

Connor also bought 24 cans of soda but in packs

Each pack contain 8 soda cans

Total packs bought by Connor

\(\sf{ = }{\sf{\dfrac{ 24}{8}}}\)

\(\sf{ = 3 \: packs }\)

Connor bought 3 packs of soda cans

So,

Total cost paid by the Connor

\(\sf{ = 3 {\times}{\pounds}2.10 }\)

\(\sf{ = {\pounds}6.30 }\)

Thus, The total cost paid by connor is £6.30

From Above we can conclude that,

That is,

Ellis had to pay more than connor by

\(\sf{ = 7.20 - 6.30 }\)

\(\sf{ = {\pounds}0.90}\)

Hence, Ellis paid more than connor by £0.90.

Answer:

± 10

Step-by-step explanation:

sqrt(100)

What number multiplied by itself is 100

10*10 =100

(-10)*(-10) = 100

The square root of 100 is ± 10

Answer:

I could be wrong on this BUT

Step-by-step explanation:

4x+10=30

-10=-10

4x = 20

x= 5

Answer:

27ft

Step-by-step explanation:

Answer:

its simple you will need 5ft of carpet

Step-by-step explanation:

Answer:

the answer is D i believe

The y-intercept of both the functions a(x) and b(x) are the same. Then the correct option is D.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Consider the function a(x) = - x³ + 8 and function b modeled by this graph.

Then the graph of a(x) and b(x) is shown below.

Then the y-intercept of both the functions a(x) and b(x) are the same.

And the x-intercept of the function a(x) is 2 and b(x) is negative 2.

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Answer:

the y-intercept of b is equal to the y-intercept of a ​

Step-by-step explanation:

The personal banker given lending arrangement, the APR for your cousin's buddies who borrowed $20 and repaid $40 at the end of the month would be 120%

The annual percentage rate (APR) for your cousin's lending arrangement,  to make a few assumptions. That each lending transaction occurs on the first day of the month and is repaid on the last day of the same month. Based on these assumptions, calculate the effective APR as follows:

Calculate the interest charged for a $20 loan over one month:

Interest = $40 (repaid amount) - $20 (loaned amount) = $20

Divide the interest by the loan amount and multiply by 100 to get the monthly interest rate:

Monthly Interest Rate = (Interest / Loan Amount) ×100 = ($20 / $20) ×100 = 100%

Multiply the monthly interest rate by 12 to obtain the annual interest rate:

APR = Monthly Interest Rate ×12 = 100% ×12 = 120%

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Step-by-step explanation:

for both of them is 26-9= 17

for math = 17-15=2

for english = 17-13=4

don't like math or english = 9

Answer:

Step-by-step explanation:

(0, -9) and (3,3)

(3+9)/(3-0) = 12/3 = 4

y + 9 = 4(x - 0)

y + 9 = 4x - 0

y = 4x - 9

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The cost of a bottle of apple juice at store B is $0.63 more than at

store A.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Store A:

Cost of x bottles = 0.25x

Cost of 1 bottle = $0.25

Store B:

From the table, we see that,

Cost of 9 bottles = $7.92

Cost of 1 bottle = 7.92/9 = $0.88

Cost of 1 bottles = $0.88

Now,

The difference between the cost of one bottle at store A and store B.

= 0.88 - 0.25

= $0.63

Thus,

The cost of a bottle of apple juice at store B is $0.63 more than at

store A.

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Answer:

I'm gonna go with letter A. y= 2x - 1

Step-by-step explanation:

Answer:

y = 2x -1

Step-by-step explanation:

the line passes through -1 on the graph

it rises 2

and moves right once

Hope this helps ! (:

Answer:

Step-by-step explanation:

volume=length×width×height

V=(4x-3)(x+1)(x+2)

=(4x-3)[x²+2x+x+2]

=(4x-3)(x²+3x+2)

=4x(x²+3x+2)-3(x²+3x+2)

=4x³+12x²+8x-3x²-9x-6

=4x³+9x²-x-6

All three sides have the same scale factor of 4.The option 2 is correct

A scale factor is a figure that indicates the proportionate size difference between two comparable figures. When two figures resemble one another, it indicates that they share the same shape but differ in size.

To determine the scale factor used to dilate Triangle D to create Triangle D', we can compare the corresponding sides of the two triangles.

Triangle D has sides of length 8, 6, and 10. Triangle D' has sides of length 32, 24, and 40.

Let's consider one of the sides, for example, the side with length 10 in Triangle D. To get the corresponding side in Triangle D', we need to multiply the length of the side in Triangle D by the same scale factor for all three sides. Let's call this scale factor "k".

So, we can write:

10 x k = length of corresponding side in D'

Simplifying this equation, we get:

k = (length of corresponding side in D') / 10

We can apply this equation to each of the three sides of Triangle D to find the scale factor:

For the side with length 8:

k = 32 / 8 = 4

For the side with length 6:

k = 24 / 6 = 4

For the side with length 10:

k = 40 / 10 = 4

Since all three sides have the same scale factor of 4, we can conclude that Triangle D was dilated by a scale factor of 4 to create Triangle D'.

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The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Answer: \(x=8, y=2\sqrt 2\)

Step-by-step explanation:

By the Pythagorean theorem, x=8.

So, by the geometric mean theorem,

\(y^2 = (6)(2)=8\\\\y=2\sqrt{2}\)

Repeatedly  sample variance from a small population without replacement leads to the outcomes in our sample being non-independent, as the same individuals may be chosen multiple times.

Repeatedly  sample variance from a small population without replacement can lead to skewed results, as the same individuals may be chosen multiple times. This can be problematic when the sample size is small, as the same individuals may be overrepresented in the sample. This can lead to outcomes that are not representative of the population and can lead to inaccurate results. As the same individuals are chosen multiple times, the outcomes in the sample are not independent; the outcomes of one individual can influence the outcomes of other individuals in the sample. This can lead to bias in the results and should be avoided when possible. When sampling from a small population without replacement, it is important to ensure that the sample size is large enough that the same individuals are not chosen multiple times, otherwise the results may be skewed or biased.

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Sampling repeatedly from a small population without replacement leads the outcomes in our sample to be dependent.

In dependent samples, subjects in one group do provide information about subjects in other groups.

Answer:

10.9%

Step-by-step explanation:

You want to do the number of ways that can happen, which is \(_8C_2 = 28\) divided by the total number of possibilities which is \(2^8\) to get 10.9%

Carlos points are 12

Let , Fabio points = x= 31

Carlos points = Y

Fabio had 7 points less than 2 times as many points as Carlos.

X = 2Y - 7

X = 2Y - 7

X + 7 = 2Y

Y = (x + 7)/2

X = (31 - 7)/2

x = 24/2

X = 12

Carlos points are 12

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Pythagorean Theorem can be used to find the missing side that is equal to 21.3.

Distance formula states that the distance between two points is equal to the square root of the sum of the squares of the differences of the coordinates.

The missing side can be found by using the Pythagorean Theorem, which states that the square of the length of the hypotenuse (longest side of a right triangle) is equal to the sum of the squares of the lengths of the other two sides.

Therefore, the missing side is equal to the square root of the sum of the squares of the sides we already have:

b² = (16)² + (14)²

= 256 + 196

= 452

b = √452

= 21.3

We can also use the distance formula here.

The distance between (16, 14) and (0, 0) =

√(16² + 14²)

= √(256 + 196)

= √452

= 21.3.

This confirms that the missing side is equal to 21.3.

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Question:

Find the length of the missing side. If necessary, round to the nearest tenth.

21.3

30

15

7.7

(it is a triangle and it has a right angle and you are looking for b and the numbers on the triangle are 16 [this is the longest side and slanted] and 14 [this is straight with no slant)

Answer:

(i) Yes. If you divide it, it gives 13.

(iii) 3 is a factor of 1647 but 5 isn't. If you divide it with 3 first, it gives 549. But if you divide it with 5, it gives 329.4

(v) 2, 3, 5, 7 and 11 are factors of 4620. If you divide it with 2, it gives 2310. If you divide it with 3, it gives 1540. If you divide it with 5, it gives 924. If you divide it with 7, it gives 660. If you divide it with 11, it gives 420.

Step-by-step explanation:

Extra explanation on what a factor is, I don't know how to explain it but here are some examples:

Example:

Find factors of 12

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

So. 1, 2, 3, 4, 6 and 12 are factors of 12 basically.

a) To graph the marginal utility of x, we need to find the derivative of the utility function with respect to x. Given that y=1, the utility function becomes U=x^(1/5). Taking the derivative of U with respect to x, we get dU/dx = (1/5)x^(-4/5). This represents the marginal utility of x.

When we graph the marginal utility of x, we put the marginal utility on the vertical axis and x on the horizontal axis. Since x^(-4/5) is positive for all positive values of x, the graph of the marginal utility of x will have a positive slope that decreases as x increases. The shape of the graph will resemble a downward-sloping curve that approaches zero as x approaches infinity.

b) The MRS (Marginal Rate of Substitution) for this consumer is the rate at which the consumer is willing to trade one good for another while keeping the total utility constant. In this case, the MRS is the negative ratio of the marginal utility of x to the marginal utility of y. Mathematically, MRS = -(dU/dx)/(dU/dy).

Since y is a constant and dU/dy = 0, the MRS simplifies to MRS = -(dU/dx)/0 = undefined. This means that the consumer is not willing to trade any amount of y for x, as the marginal utility of y is zero. The consumer only derives utility from x and does not value y in terms of marginal utility.

The graph of the marginal utility of x will have a positive slope that decreases as x increases. The MRS for this consumer is undefined, indicating that the consumer does not value y in terms of marginal utility.

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Answer:

7

Step-by-step explanation:

x + 4y = 12

4y = -x + 12

Line G:

y = -1/4x + 3

Line H:

y = 4x + b

-5 = 4(-3) + b

-5 = -12 + b

7 = b

Answer:

Explanation:

The name for the decimal value of the point "m" on the number line is determined by the position of the point relative to the nearest whole numbers.

On a number line, each point represents a specific value. The name for a decimal value depends on its position relative to the nearest whole numbers. If the point "m" falls between two whole numbers, it is referred to as a decimal value.

For example, if "m" falls between 3 and 4 on the number line, its decimal value would be represented as 3.m or 3.m0, where "m" represents the specific decimal digit. The decimal value can be determined by measuring the distance between "m" and the nearest whole numbers and expressing it as a fraction or a decimal digit.

If "m" falls exactly on a whole number, then it is not considered a decimal value. For instance, if "m" coincides with point 5 on the number line, it is simply referred to as the whole number 5, without any decimal component. However, if "m" falls between two whole numbers, it signifies a specific decimal value determined by its position on the number line.

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To determine whether the sequence converges or diverges, we can use the Squeeze Theorem.

We can see that

4/ n+5n^2 < = An <= 4+3n^2/ n+5n^2

As n tends to infinity,  4/ n+5n^2  tends to 0 and 4+3n^2/ n+5n^2 tends to  4/5n^2 which also tends to 0.

So by the Squeeze Theorem, we can say that An tends to 0 as n tends to infinity. Hence the limit of the sequence is Lim n-> An = 0

We can also see that the numerator of An is a constant and the denominator is a polynomial with degree 2. Since the denominator's degree is greater than the numerator, the limit will be zero as n -> infinity.

Therefore, the sequence converges to 0.

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If the incomes in a certain larger population of college teachers have a normal distribution with mean of $60,000 and standard deviation of $5,000.the probability that their average salary exceeds $65,000 is 0.0228.

Probability is the tendency or likelihood that an event will happen.

First step is to find the standard deviation

Standard deviation= $5,000/√4

Standard deviation= $5,000/2

Standard deviation= $2,500

Second step is to find the z -score

Z= 65,000 - 60,000/2500

Z= 5,000/2500

Z= 2

Now let find the  pvalue of 2

pvalue of 2 = 0.0228

Therefore the probability is 0.0228.

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The probability of p(copper)=0.28

Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. Probability is a fundamental concept in mathematics, statistics, and science that is used to quantify uncertainty and forecast the likelihood of future events based on available data. Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.

Given

Total Beads =112+96+192=400

Placing the bead back to the crate

so the total beads are always 400

copper:112

p(copper)=112/400=0.28

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Answer:

-3 and 3

Step-by-step explanation:

2/3 x^2 = 20-14

2/3 x^2 = 6

2/3 * 3/2 x^2 = 6 * 3/2

x^2 = 9

x = √9 = 3

x = - √9 = -3