Assessment items Which inequality represents this sentence? Seven plus five is greater than six plus two. correct answer: 7+5>6+2. 6+2>7+5 6+2>7+5 - no response given 7+5>6+2 7+5>6+2 - correct 7+5<6+2 7+5<6+2 - no response given 7+5≥6+2 7+5≥6+2 - no response given

An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

The constraint of expression is represented as = or <, >.

As per the given expression,

1/2 × (7x - 3) × 8

Multiply 1/2 and 8

⇒ 1/2 × 8 × (7x - 3)

⇒ 4 × (7x - 3)

⇒ 28x - 12

Hence "An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12".

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Answer:

I would have 1 apple

Step-by-step explanation:

5 apples

Gave 4 away

5 - 4 = 1

So you would have 1 apple

The area of the blue glass needed to fill each dot is 144π square inches.

To find the area of the blue glass needed to fill each dot, we need to first determine the radius of the dot. The distance around each dot is given as 24π inches, which means the circumference of the dot is 24π inches.

Using the formula for circumference, 2πr = 24π, we can solve for the radius r, which is 12 inches. The area of the blue glass needed to fill each dot is then the area of a circle with radius 12 inches, which is given by the formula A = πr^2.

Substituting the value for r, we get A = π(12)^2 = 144π square inches.

Answer:

Step-by-step explanation:

Unknown number be 'x'

4x-10>1000

An inequality representing '10 less than four times a number is more than 1000' is written as 4x - 10 > 1000. We rearrange the inequality to solve for x, resulting in x > 252.5, indicating that four times any number greater than 252.5, minus 10, will be more than 1000.

To write an inequality that represents "10 less than four times a number is more than 1000," we need to use an inequality symbol to show the relationship between the expressions involved. The number we are considering can be represented by a variable, typically denoted as x. So, four times a number would be written as 4x. Following this, 10 less than four times a number is expressed as 4x - 10. Now, stating that this quantity is more than 1000, we use the > sign, leading to the inequality 4x - 10 > 1000. To solve this inequality, we can rearrange the terms to isolate x, resulting in the following steps:

This inequality represents that any number greater than 252.5, when multiplied by four and reduced by 10, will result in a value more than 1000.

Answer:

70 pages

Step-by-step explanation:

25 % = 25/100 = 1/4

Number he reads each night 280 * 1/4

= 70 pages

Ramon should read 70 pages each night to cover 25 percent of the 280-page book over four nights.

Ramon's goal is to read 25% of a 280-page book each night.

To find out how many pages he should read each night,

we can calculate 25% of 280.

First, we convert 25% to a decimal by dividing it by 100:

25% = 0.25.

Next, we multiply the decimal (0.25) by the total number of pages (280):

0.25 [tex]\times[/tex] 280 = 70.

Ramon should read 70 pages each night.

This consistent approach will help him finish the book in four nights while ensuring he comprehends the material thoroughly.

Breaking the reading into manageable portions not only makes it easier to digest the content but also allows him to better retain and engage with the book.

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Let the slower runners speed be X kilometers per hour.

Then the faster runners speed would be X+2 kilometers per hour.

The formula for distance is Speed times time.

The distance is given as 30 kilometers and time is given as 3 hours.

Since there are two runners you need to add the both of them together.

The equation becomes 30 = 3x + 3(x+2)

Now solve for x:

30 = 3x + 3(x+2)

Simplify:

30 = 3x + 3x +6

30 = 6x + 6

Subtract 6 from each side:

24 = 6x

Divide both sides by 6:

x = 24/6

x = 4

The slower runner ran at 4 kilometers per hour.

The faster runner ran at 4+2 = 6 kilometers per hour.

Answer:

C and E

Step-by-step explanation:

Supplementary angles add up to 180

Corresponding angles are the same angle in a different location

Answer:

1 and 5 are supplementary angles

5 and 7 are corresponding angles

Step-by-step explanation:

Answer:

The value of k is -5.

Step-by-step explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

Now we can use cross multiplication to solve for k.

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

Answer:

k=-5

Step-by-step explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

Question

42 is 60% of what number

Answer:

Step-by-step explanation:

42 : 60 * 100 =

70

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

check

70 * 60% =

42

the answer is good

Answer:

B) A quadrilateral with one pair of parallel sides

Step-by-step explanation:

Specifically, this is a 4 sided figure with exactly one pair of opposite sides that are parallel. The other two sides are not parallel. A trapezoid can be formed if you draw a parallel segment to one side of a triangle. If you had two pairs of parallel sides, then it would be a parallelogram instead of a trapezoid.

Answer:

y = 3x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - [tex]\frac{1}{3}[/tex] x + 1 is in this form

with slope m = - [tex]\frac{1}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1/3}[/tex] = 3

y = 3x + c ← is the partial equation

to find c substitute (3, 4) into the partial equation

4 = 9 + c ⇒ c = 4 - 9 = - 5

y = 3x - 5 ← equation of perpendicular line

Answer: 55°

Step-by-step explanation:

Line n is irrelevant.

Angle 1 plus angle 2 is 180° because line m is a straight line

180 - 125 is 55

Answer:

2.64 × 10⁸  

Step-by-step explanation:

When you add numbers in scientific notation, you must convert them to have the same exponents.

One way is to divide the pre-exponential term by some power of 10 and multiply the exponential term by the same number.

    1.02 × 10⁸              = 1.02 × 10⁸

+ (9.4/10¹) × (10⁷×10¹) = 0.94 × 10⁸

+ (6.8/10¹) × (10⁷×10¹) = 0.68 × 10⁸

                     TOTAL = 2.64 × 10⁸

Answer:

p > 4 if thats what ur asking.

Step-by-step explanation:

p-1>3

Add 1 to each side, it cancels out the -1

p > 4

Answer:

p>4

Step-by-step explanation:

p-1>3 given

p>4 addition property of equality

Final answer:

By setting up a proportion based on the fact that 4 ounces represents 25% of the amount in bottle B, we calculated that bottle B must contain 16 ounces of water.

Explanation:

The question asks us to determine how much water is in bottle B given that bottle A contains 4 ounces of water, which is 25% of the amount of water in bottle B. This means bottle A has one-fourth the amount of water that is in bottle B.

To find out how much water is in bottle B, we can set up a simple proportion: if 4 ounces is 25%, then 100% (which is the full amount in bottle B) would be four times as much. Therefore, we multiply 4 ounces by 4.

4 ounces × 4 = 16 ounces

So, bottle B contains 16 ounces of water.

Question

Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples?

Answer:

Step-by-step explanation:

find the price of pears

7kg * 1.30£ = 9.1£

from the total price take away the cost of pears

12.70 - 9.1 = 3.6 £ (price of 2Kg of pears)

3.6 : 2 = 1.80 £ ( cost of 1 Kg of apples)

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

or you can solve with an expression

12.70 - (7 * 1.3) : 2 =

1.80 £

Answer:

The lowest he can get is a 72 to maintain an 80 as his average

Step-by-step explanation:

Answer:

x(x - 8)(x + 3)

Step-by-step explanation:

take out a common factor of x

= x(x² - 5x - 24)

to factor the quadratic consider the factors of - 24 which sum to - 5

These are - 8 and + 3, thus

= x(x - 8)(x + 3) ← in factored form

Final answer:

To factor X³-5X²-24X, we first factor out the greatest common factor, X, and then factor the resulting quadratic equation, resulting in the factored form X(X-8)(X+3).

Explanation:

The polynomial X³−5X²−24X can be factored by first taking out the common factor of X, which gives us X(X²−5X−24). Next, we need to factor the quadratic equation X²−5X−24. To do this, we look for two numbers that multiply to −24 and add up to −5, which are −8 and 3. Therefore, the factored form is X(X−8)(X+3).

|-10| = 10

39/4 = 9 3/4

-|-10| + 3 - 39/4 = -10 + 3 - 9 3/4 = -7 - 9 3/4 = -16 3/4

Answer:

y = -3x-9

Step-by-step explanation:

7 + y = -2 -3x

To solve for y, subtract 7 from each side

7 -7+ y = -2 -3x-7

y = -3x-9

Answer:

D: (-infinity, infinity)   R: (-infinity, infinity)

Step-by-step explanation:

The absolute value of x - 3 is x+ 3.

y = x + 3 + 1

y = x + 4

Your y intercept is your c value. Your c value is 4.

4 is your y intercept.

Place a point on 4. This is your starting point. Rise over run is 1/1

To find the positive points, go up one from the y intercept and over one, repeating the process until you reach the edge of the graph.

To find the negative points, do the opposite. Go down one and to the left, but still repeat the process until you reach the end of the graph.

Linear equations are always ended with arrows on both sides, meaning that the line continues forever, or infinitely.

To find domain, look at the x values.

Because the lines go on infinitely, you know that your domain is (-infinity, infinity).

To find your range, look at your y values.

Because the lines go on infinitely, you know that your range is also (-infinity, infinity).

Make sure to use the symbol for infinity instead of the words. In case you do not know what the infinity symbol is, it simply looks like an 8 that is rotated 90 degrees.

Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (2 - 5)/(-23 - (-8))

m = (2 - 5)/(-23 + 8)

m = (-3)/(-15)

m = 1/5

m = 0.2

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

The answer as a fraction is 1/5

In decimal form, this is equivalent to 0.2

To find the slope, use the slope formula and plug in the two points:

(-8,5) = (x₁ , y₁)

(-23,2) = (x₂ , y₂)

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{2-5}{-23-(-8)}[/tex]

[tex]m=\frac{2-5}{-23+8}[/tex]

[tex]m=\frac{-3}{-15}[/tex]

[tex]m=\frac{1}{5}[/tex]

Answer:

8

Step-by-step explanation:

1) find the least common denominator

48/8=6

64/8=8

2) check

8 times 6 is 49

8 times 8 is 64

Answer:

The margin of error for a sample size of 250 is 6

Step-by-step explanation:

The margin of error is given as

1/square root of the sample size

Thus, margin of error for a sapless size of 250 is

1/√250

= 1/15. 811

= 6

Final answer:

By inserting parentheses to create the expression (6 + 10) x 2, we change the order of operations and get the desired result, which is 32.

Explanation:

The question involves inserting parentheses in the expression 6 + 10 x 2 so that the result of the expression equals 32. According to the order of operations, we typically perform multiplication before addition, so if we compute the expression as it stands, we would get 6 + (10 x 2) = 6 + 20 = 26, which is not the result we want. To achieve the desired result, we need to adjust this order. By adding parentheses, we can change the order in which the operations are performed. Thus, the correct placement of parentheses would be (6 + 10) x 2, which gives us (16) x 2 = 32.

Based on the information given regarding the regression line, the correct option is D. That the regression equation is not a good fit for the data.

A regression line simply means a single line that best fits the data. It should be noted that the formula for the regression line is y = mx + b.

Based on the question asked, since the residual plot looks like a quadratic function, it means that the regression equation is not a good fit for the data.

If the regression line is a good fit for the model, there'll be no pattern in the residual. In this case, since there is a residual, it means that the regression equation is not a good fit for the data.

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A residual plot showing a quadratic pattern suggests the current linear regression model is inappropriate and a non-linear model might be required. Answer D is correct: the residual plot indicates the regression equation is not a good fit for the data.

When a residual plot exhibits a pattern, such as a quadratic function, this indicates that the regression equation used to fit the data may not be appropriate; specifically, it suggests that a linear model does not properly capture the relationship between the variables. Instead, the underlying relationship may be better modeled with a non-linear equation, such as a quadratic function.

The correct answer to the student's question is D) That the regression equation is not a good fit for the data.

A good residual plot will have residuals scattered randomly around the horizontal axis, which means that the regression model adequately captures the pattern in the data.

Answer:

The correct

answer between all the choices given is the second choice or letter B. I am

hoping that this answer has satisfied your query and it will be able to help

you in your endeavor, and if you would like, feel free to ask another question.