6x+26x-10=8(4x+10) write a word problem that this equation,or any of its equivalent forms,represents.

Check the picture below.

1. The constant of proportionality when Ana runs 3/4 mile in 6 minutes is 0.125.

2. The missing value in the table will be 7.5 miles and 8.75 miles.

It should be noted that the constant of proportionality simply illustrates the ratio of two given values that have a proportional relationship.

1. In this case, Ana runs 3/4 mile in 6 minutes. Therefore, the constant of proportionality will be:

y = kx

where y = distance

x = time

3/4 = 6x

0.75 = 6k

Divide

k = 0.75 / 6

k = 0.125

The constant of proportionality is 0.125.

2. The missing value in the table will be:

y = kx

when x = 60.

y = 60 × 0.125 = 7.5 miles.

y = kx

when x = 70

y = 70 × 0.125 =8.75 miles.

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By using the equation for the line of best fit, the salary for an employee with 7 years of experience is: D. $55,573.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

In this scenario, the employee's years of experience would be plotted on the x-axis of the scatter plot while salary would be plotted on the y-axis of the scatter plot.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:

y = 2233.3x + 39940

Next, we would use the equation for the line of best fit to predict the salary for an employee with 7 years of experience:

y = 2233.3(7) + 39940

y = 15,633.1 + 39940

y = 55,573.1 ≈ $55,573.

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Answer:

D

Step-by-step explanation:

$55,573

The value of 2⁴ + 9x + 2 when x = 2  is 36.

Given:

Algebraic expression is 2⁴ + 9x + 2

Where x = 2

So substituting the value of x to find the result of the expression,

2⁴ + 9x + 2 = 16 + 9×2 + 2 = 16 + 18 + 2 = 36

Hence the value of the expression is 36.

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Answer:

Step-by-step explanation:

Slope= rise/run or y2-y1/x2-x1

the two points are (4,-4) and (1,4)

so, it is (( -4) - 4) /(4-1)= -8/3

slope = -8/3

if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, No , it does not  change the value of p(odd number) .

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = number of odd digits / number of faces = 4/6=2/3

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is . Then that of 3 is (because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

7x=1

x=1/7

P(odd number) = 3 * Prob(1) + Prob(3)

=3*1/7 +2/7 = 5/7

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The area of a circle with the value of its circumference as 60cm is 286. 38cm²

The formula for determining the formula for circumference of  a circle is expressed as;

Circumference = 2 πr

Given that;

Now, we have to substitute the value of circumference of the circle as 60cm

We have;

60 = 2 πr

Now, substitute the value for π into the equation, we have;

60 = 2× 3.14r

Multiply the values, we get;

60 = 6.28r

Make 'r' the subject of formula in the equation

r = 60/6.28

r = 9.55cm

But we know that e formula for area of a circle is expressed as;

Area = πr²

Now, substitute the value of radius into the formula, we have;

Area = 3. 14(9.55)²

Find the squares

Area = 3.14(91.2025)

Multiply the values by expanding the bracket

Area = 286. 38cm²

Hence, the area is 286. 38cm²

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Answer:

4 m and 62.5 cm

Step-by-step explanation:

1 meter = 100 cm

So 18m and 50 cm = 18 x 100 + 50 cm = 1850 cm

If it is going to be divided into 4 equal parts, each part = 1850/4 = 462.5 cm

462.5 cm = 462.5/ 100 = 4 m and 0.625 m

0.625m = 0.625 x 100 = 62.5 cm

So each piece is 4 m and 62.5 cm

Answer:

Infinite many solutions

Step-by-step explanation:

4x + 2 = 4x + 2

-4x         -4x

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

2 = 2

or

4x + 2 = 4x + 2

      -2          -2

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

4x = 4x

Infinite many solutions

I hope this helps!

The cost of one ounce of cereal is $0.23

Given:

Amount of cereals a box contain = 24 ounces

Cost of one box = $5.52

Cost of cereal per ounce = Cost of cereal / Amount of cereals in  a box

Cost of cereal per ounce =  $5.52 / 24

Cost of cereal per ounce =  $0.23

An ounce is any of various units of mass, weight or volume derived almost invariably from the ancient Roman unit of measure, the ounce. an avoirdupois ounce is 1⁄16 avoirdupois pound; it is the US and British imperial ounce. 1 ounce is equal to 437.5 grains or 28.349 grams, A US customary fluid ounce is 1⁄16 of a US liquid pint and 1⁄128 of a US liquid gallon or exactly 29.5735295625 mL.

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The inequality x & lt; 4 is represented on a number line .

What is number line?
A number line is a representation of a graduated straight line in elementary mathematics that serves as a visual representation of the real numbers. It is assumed that every point on a number line corresponds to a real number, and that vice versa. Frequently, the integers are represented by specially marked, uniformly spaced points on a line. The line includes all real numbers, continuing indefinitely in both directions, as well as numbers that are in between the integers, even though the image only displays the integers from -3 to 3. It is frequently employed as a teaching tool, particularly when teaching simple addition and subtraction with negative numbers.

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Answer:

27/5

Step-by-step explanation:

x/3+x-1/4 = 2+x

4x+3x-3/12=2+x

7x-3=24+12x

7x-12x=24+3

5x=27

x=27/5

Answer:

-2

Step-by-step explanation:

It’s asking you to solve the expression with the values given. After doing that, it’s asking you to simplify the result.

Expression - Does not have an equal sign, only the operation (multiplication, division, addition, subtraction).

Answer:

Mira is correct

Step-by-step explanation:

She did all the steps and Vernon skipped some so u dont rlly understand what he did u could lose points if it was an exam for example

Answer:

Your answer would be the last one since that's the one that doesn't have a changed result when the numbers are moved around.

Answer:

I think the answer is d..

In the given number series 3, 12, 60, 240, 1200, the next number is 4800.

3, 12, 60, 240, 1200

Solution:

In the given sequence,

3, 12, 60, 240, 1200

Each intermittent number is multiplied by 4 and the number next to it by 5.

3*4 = 12

12*5 = 60

60*4 = 240

240*5 = 1200

1200*4 = 4800

Therefore, the next number is 4800.

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Solution

In a cyclic quadrilateral, opposite angles is supplementary.

=> 3x - 59 + 2x - 1 = 180

=> 5x - 60 = 180

=> 5x = 180 + 60

=> 5x = 240

=> x = 48

Angle A = 2(48) + 4 = 100

Also, A + C = 180

=> C = 180 - 100

=> C = 80

Answer:

The selling price of one table-tennis is $221.40

Step-by-step explanation:

Answer:

bottom right rectangle: 5x − y

bottom circle: 6x

Step-by-step explanation:

First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:

(9x + 4y) − (4x + 5y)

= (9x − 4x) + (4y − 5y)

= 5x − y

Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):

(x + y) + (5x − y)

= (x + 5x) + (y − y)

= 6x

Answer:

0.7

Step-by-step explanation:

The percentage change in the home sale price between the year 1970 and 2010 is 13.01%

It is a relative value used to denote hundredths of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. A number's percentage is its weight in relation to 100. For example in the case, there are 26 females and 24 boys in a class. 52% of the class is made up of girls, which means that out of 100 students, 52 are female.

Given Data

Average home sale

1980 = $18300

1990 - 2010= $2000

Percentage sale = [tex]\frac{20300}{156000}[/tex] × 100

Percentage sale = 13.01

The percentage change in the home sale price between the year 1970 and 2010 is 13.01%

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Not \:\: Congruent [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

If a figure is enlarged, it will still be similar to the original figure, but it won't be congruent to the original figure, because, to be congruent the figures should be of equal size/ coincide each other perfectly, which isn't possible in this scenario.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The new price after being marked up is less than initial price of $100.

The price of sweatshirt after discount = 100 - 40%×100

Converting percentage to fraction

The price of sweatshirt after discount = 100 - (40/100)×100

The price of sweatshirt after discount = 100 - 40

Performing subtraction

The price of sweatshirt after discount = $60

The marked up sale price = 60 + 40%×60

Converting percentage to fraction

The marked up sale price = 60 + (40/100)×60

Cancelling zero and performing multiplication

The marked up sale price = 60 + 24

Performing addition

The marked up sale price = $84

Thus, the marked up price after discount will be less than the initial price of $100.

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If Kareem has completed 28 out of the 40 deliveries he needs to fulfill this week, then he has completed 70 percentage of his total deliveries.

As per the question statement, Kareem needs to make a total of 40 deliveries this week, and he has completed 28 thus far.

We are required to calculate the percentage of deliveries, Kareem has completed so far.

To solve this question, we simply need to divide the number of deliveries completed so far, by the total number of deliveries Kareem needs to fulfill in the week, and then multiply the quotient with 100, to obtain our desired answer.

Here, number of deliveries completed so far by Kareem  = 28,

And, total number of deliveries Kareem needs to fulfill = 40.

Therefore, percentage of deliveries, Kareem has completed so far

= [(28/40) * 100]

= [(7/10) * 100]

= (7 * 10)

= 70%.

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The correct answer is option C that is on step 4 - 5 the right side should have been ± i.

A quadratic polynomial function is the one which can be written in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. The quadratic polynomial function is solved using Completing the square method. In this method the quadratic polynomial is converted into the form (x + a)² in order to find the roots of the quadratic polynomial. Here, the steps 1, 2 and 3 are correct but in step 4 after taking square root on both the sides the value of √-1 is not taken as ± i and further it is solved. This becomes an error as we know that the value of √-1 = ± i and if not taken properly errors occur.

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Answer:

[tex]1.16 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex](3.28 \times {10}^{8} ) - (2.12 \times {10}^{8} ) = 1.16 \times {10}^{8} [/tex]

The value of x / y in the given equation will be -2 / 3. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 3(x+y) = y, the value of x / y will be calculated as:-

3(x+y) = y

( x + y ) / y = 1 / 3

( x / y ) + 1 =  1 / 3

( x / y ) = ( 1 / 3 ) - 1

( x / y ) =  -2 / 3

Therefore, the value of x / y in the given equation will be -2 / 3. The correct option is B.

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Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 3 are corresponding angles

each is in the same position ( the upper left hand corner) in its group of 4 angles.

The numbers are  26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10​. The order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.

Given that,

The numbers are  26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10​.

We have to find the order of the numbers from least to greatest.

The order of the numbers from least to greatest is nothing but an ascending order.

Ascending order is nothing but ascending order refers to the grouping of information from the lowest to the highest value. Increasing order is another name for it.

Now, we take the numbers

1st number is 26.087.

2nd number is 2.6×10=26.

3rd number is 26.079.

4th number is 2.6432×10=26.432.

5th number is 26.295.

6th number is 2.6803×10=26.803.

Now, we write in ascending order

26, 26.079, 26.087, 26.295, 26.432, 26.803.

Therefore, the order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.

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