sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. wire a numerical expression to represents this situation.

The two linear functions have the same y-intercept. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The function 3x + 2y = 8 and the other function is graphed.

Convert the standard linear function into slope-intercept form. Then we have

3x + 2y = 8

2y = 8 - 3x

y = 4 - (3/2)x

The y-intercept of the linear function is 4 and the y-intercept of the graphed line is also 4.

The two capabilities have a similar y-catch. Then, at that point, the right choice is A.

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Answer:

We use the rule of three

7 miles ---------------> 60 minutes

So x ------------------> 24 minutes

So x= (24 minutes × 7 miles )/60 minutes .

We simplify by 《minutes》 because it's in the numerator and the denominator .

So x= (24×7 miles )/60

x = 168 miles /60

x=2,8 miles

So Miguel runs 2,8 miles in 24 minutes.

Answer:

Y = 4

Step-by-step explanation:

5x-y=54

50-y=54

circle y and subtract 50 from itself then subtract 50 from 54.

after subtracting you should have y=4

Answer:

(67, 81)

Step-by-step explanation:

Given that :

Five number summary of scores :

55, 67, 73, 81, 98

Five number summary :

Minimum = 55

Lower quartile = 67

Median = 73

Upper quartile = 81

Maximum = 98

Interval which represents the middle 50% of the grade distribution is the interquartile range, which is the difference between the upper and lower quartile

Hence the interval is ;

Q1, Q3

Q1 = 67 ; Q3 = 81

(67, 81)

Answer:

5,289,410

Step-by-step explanation:

you can move the decimal 4 places right and if there is not a place to move to add a zero. I did that once seen here.

Answer:

-6<x≤-3

Step-by-step explanation:

The black dot means strictly and since it is the smallest value in the inequality this means x is strictly bigger than -6. The white dot means that x can be that value. Since it is the biggest value in the inequality x  must be less than or equal to -3

Answer:

4

Step-by-step explanation:

(1+2) +( 2/3 + 3/9)

3+1=4

Answer:

C.) <-11, -10>

Step-by-step explanation:

Let's define how to work with vectors.

For two vectors:

V = <a, b>

W = <c, d>

The product of a scalar k and a vector is given by:

k*V = k*<a, b> = <k*a, k*b>

And the sum (or difference) of two vectors is given by:

V ± W  = <a, b> ± <c, d> = <a ± c, b ± d>

Now that we know this, we can solve the problem.

Here we have the vectors:

u = <2, 1>

v = <5, 4>

then:

2u - 3*v = 2*<2, 1> - 3*<5, 4>

             = <2*2, 2*1> - <3*5, 3*4>

             = <4, 2> - <15, 12>

             = <4 - 15, 2 - 12>

             = < -11, -10>

Then the correct option is C.

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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Answer:

5

7

9

11

13

Step-by-step explanation:

u just have to plot the x values into the x variable if that makes sense

here is an exampla

Answer:

6 4/5

Step-by-step explanation:

He has 1 1/5 lb. He needs 8 lb.

He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.

8 - 1 1/5 =

We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have

= 7 5/5 - 1 1/5

We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.

= 6 4/5

Answer: 6 4/5

3 number of sides

Step-by-step explanation:

sum of interior angles= (n-2)180°

=> 60x=(x-2)180

60x=180x-360

=> 60x-180x=180x-180x-360

-120x=-360=> x=3

Answer:

Form W-4

Step-by-step explanation:

Got a 100 on the test :)

The correct form which does an employee fill out to establish tax withholding from a paycheck is,

⇒ Form W - 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

To find for beginning a new job, which form does an employee fill out to establish tax withholding from a paycheck.

We know that;

Form W-4, Employee's Withholding Certificate, is generally completed at the start of any new job.

This form tells your employer how much federal income tax withholding to keep from each paycheck.

Hence, The correct form which does an employee fill out to establish tax withholding from a paycheck is,

⇒ Form W - 4

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Answer: 28

Step-by-step explanation:

First you divide 42 by 3 and get 14

14 times 2 is 28 and 14+28= 42

so Lisa made 14 gallons of cider on day one and 28 gallons on day two

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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Answer:

2) Yes, 4) No, 6) Yes

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

Use triangle inequality theorem, according to which:

Q2)

Q4)

Q6)

Answer:

2. Yes as 6 + 13 > 18

4. No as 29 + 9 = 38

6. Yes as 14 + 19 > 33

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

To determine if the given side lengths could form a triangle, sum the two shortest sides and observe if the sum is greater than the length of the longest side.

Therefore, as the sum of the shortest two sides is greater than the length of the longest side, the given side lengths can form a triangle.

To determine if the given side lengths could form a triangle, sum the two shortest sides and observe if the sum is greater than the length of the longest side.

Therefore, as the sum of the shortest two sides is equal to the length of the longest side, the given side lengths cannot form a triangle.

To determine if the given side lengths could form a triangle, sum the two shortest sides and observe if the sum is greater than the length of the longest side.

Therefore, as the sum of the shortest two sides is greater than the length of the longest side, the given side lengths can form a triangle.

The expected value of the given discrete distribution is presented as follows:

E(X) = -4.7.

The expected value of a discrete distribution is obtained with the sum of each outcome multiplied by it's respective probability.

The distribution in this problem, which contains the outcomes and their probabilities, is presented as follows:

Hence the expected value of the distribution is calculated as follows:

E(X) = -7 x 0.2 - 6 x 0.1 - 5 x 0.2 - 4 x 0.2 - 3 x 0.3 = -4.7.

(each value from the distribution above, that is, -7, -6, -5, -4 and -3 was multiplied by it's respective probability and then these values were added).

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Answer:

5/3

Step-by-step explanation:

1 week = 7 days

5 weeks = 5 × 7 days = 35 days

5 weeks to 21 days =

= 35 days to 21 days

= 35/21

= 5/3

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Explanation:

If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.

This means we'll set the angles equal to one another and solve for x.

angle1 = angle2

40-4x = 50-8x

-4x+8x = 50-40

4x = 10

x = 10/4

x = 2.5

1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

3

Step-by-step explanation:

((7x-4)^2) - (7x-4)(7x-4) + 3

(7x-4)(7x-4) is 7x-4^2

So its (7x-4)^2 - (7x-4)^2 + 3

(7x-4)^2 cancel out.

Answer is 3

Answer:

there is a 40% or a 16/40 chance the the student will receive blue chalk

Step-by-step explanation:

Answer:

  \(x\) =  \(\frac{7}{6}\)  

Steps:

3\(\sqrt{4x^{2} }\)+2 = 9

   3\(\sqrt{4x^{2} }\) = 9-2

    3\(\sqrt{4x^{2} }\) = 7

      \(\sqrt{4x^{2} }\) = 7 ÷ 3

      \(\sqrt{4x^{2} }\) = \(\frac{7}{3}\)

         \(4x^{2}\) = \((\frac{7}{3})^{2}\)

         \(4x^{2}\) = \(\frac{49}9}\)

         \(x^{2}\) = \(\frac{49}9}\)÷4

         \(x^{2}\) = \(\frac{49}{36}\)

         \(x^{2}\) = \(\frac{49}{36}\)

          \(x\) =  \(\sqrt \frac{49}{36}\)

          \(x\) =  \(\frac{7}{6}\)  

Hope this will help :)

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

Step-by-step explanation:

2x squared-4x+4

Answer:

-2

Step-by-step explanation:

HOPE THIS HELPS