64 pens cost £5.76.
How much would 80 of these pens cost?

Answer: Choice D

Step-by-step explanation

First, subtract Ax from both sides:

Ax - Ax + By = C - Ax

By = C - Ax

Now, divide B from both sides:

[tex]\frac{By}{B}[/tex] = [tex]\frac{C - Ax}{B}[/tex]

y = [tex]\frac{C - Ax}{B}[/tex]

Finally, to get an equivalent answer for an answer choice, divide each term by B on the right side of the equation:

y = [tex]\frac{C}{B}[/tex] - [tex]\frac{Ax}{B}[/tex]

     or

y = -[tex]\frac{Ax}{B}[/tex] + [tex]\frac{C}{B}[/tex]

     or

y = [tex]\frac{-Ax}{B}[/tex] + [tex]\frac{C}{B}[/tex]

This answer is the same as answer choice D, and so D is the correct answer.

Answer: D.

Step-by-step explanation:

[tex]Ax+By=C\\Ax+By-Ax=C-Ax\\By=C-Ax\\[/tex]

Divide both parts of the equation by B:

[tex]\displaystyle\\y=\frac{C-Ax}{B} \\\\y=\frac{C}{B}-\frac{Ax}{B} } \\\\y=-\frac{Ax}{B} +\frac{C}{B}[/tex]

The statements about Alina's and Cesar’s estimates should be completed as follows:

Percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental numerical value differs from the actual (theoretical) numerical value.

Mathematically, percentage error can be calculated by using this expression;

[tex]Percent\; error = \frac{Actual\;value - Experimental\;value}{Experimental\;value} \times 100[/tex]

For the Alina's result, we have:

Difference = Actual mileage - Estimated mileage

Difference = 50 miles - 45 miles

Difference = 5 miles.

Next, we would determine Alina's percentage error as follows:

Percentage error = 5/50 × 100

Percentage error = 500/50

Percentage error = 10%.

For the Cesar's result, we have:

Difference = Actual mileage - Estimated mileage

Difference = 200 miles - 190 miles

Difference = 10 miles.

Next, we would determine Cesar's percentage error as follows:

Percentage error = 10/200 × 100

Percentage error = 1000/200

Percentage error = 5%.

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Complete Question:

Alina and Cesar estimated the number of miles they drove during a trip. Alina estimated the number of miles they drove in the morning. Cesar estimated the number of miles they drove in the afternoon. Use the drop-down menus to complete the statements about Alina's and Cesar’s estimates.

Alina's Estimate Actual Mileage

45 miles                 50 miles

Cesar's Estimate Actual Mileage

190 miles                200 miles

Alina is ___ miles off the actual mileage of 50 miles. That is a percent error of %.

Cesar is ___ miles off the actual mileage of 200 miles. That is a percent error of %.

Because Alina's mileage is _____ than Cesar's mileage, each mile of error results in a ____ percent error.

Answer:

There's no real solutions

Step-by-step explanation:

8x - 3 > 2(4x + 1 ) multiply inside the parenthesis with 2

8x - 3 > 8x + 2 transfer like terms to the same side of the inequation

8x - 8x > 3 + 2

0 > 5 this is not correct so we say there's no real solution to this inequation

The rate of change is (-1)

To solve this, we need to look at graphic to know the values of the function f(x) when x is equal to 1 and 3.

Then we have two points of the graph: (1,6) and (3,4).

The rate of change between two points is:

In this case,

Note that its the same whatever coordinate put first:

But when you do the difference between the coordinates, make sure to respect the order: if you use the y coordinate of the point P minus the y coordinate of point Q, you must to do the same for the x coodinate; Px-Qx

Gagu will be paid £1248 per month after the increase.

Given,

The amount Gagu is paid = £1200 per month

The increase he is going to get = 4%

We have to find the amount Gagu gets after the increase:

First we have to find the increment amount:

That is,

4% of 1200

= 1200 × (4/100)

= 12 × 4

= 48

Here,

£48 is the increment amount Gagu will get.

Now we can calculate the monthly amount gagu will be paid after the increase.

That is,

1200 + 48 = 1248.

Therefore,

Gagu will be paid £1248 per month after the increase.

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Answer:0.4

Step-by-step explanation:

just do y2-y1 over x2-x1 which gives 5/14

and convert that to a decimal which is .3571 and round it to get .4

The conclusion which is correct among the answer choices as given in the task content is; The ordered pair (17, 3) is viable.

It follows from the task content that the conclusion which is valid be identified among the answer choices.

Since it is given that; there is a relationship between the number of visit and hole-in-one winners.

The statement above indicates that the number of visitors must be greater than the number of winners. This follows from the fact that there is no winner if there are no visitors.

Hence, since x is the number of visitors and y is the number of winners, the ordered pair which is viable is; (17, 3).

The ordered pair (20, 5) is viable too. However, the last answer choice indicates that it id not and hence, is incorrect.

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Answer:

(17,3)

Step-by-step explanation:

I got it on FLVS

Answer:

n = 1

Step-by-step explanation:

-12 = -6(-8n + 6) + 8(-4 + n)

multiply our right side:

-12 = 48n - 36 -32 + 8n

combine n terms on right side:

-12 = 56n - 36 -32

combine numbers on right side:

-12 = 56n - 68

add 68 to both sides:

-12 + 68 = 56n - 68 + 68

56 = 56n

divide both sides by 56:

56/56 = 56n/56

n = 1

check:

-12 = -6(-8(1) + 6) + 8(-4 + (1))

-12 = -6(-8 + 6) + 8(-3)

-12 = -6(-2) + 8(-3)

-12 = 12 - 24

-12 = -12

Answer:

n=1

It's the answer I would tell u step by step but I can't cuase it will be kinda confusing

Answer:

u = 0

Step-by-step explanation:

7(U + 4) = 28  Distribute the 7

7u + 28 = 28    Subtract 28 from both sides

7u = 0  Divide both sides by 7

u = 0

Answer:

7(u - 4) = 28

7u - 28 = 28

+28 +28

7u = 56

÷7 ÷7

u = 8

Answer:

2 + 1 = 3

40 + 9 = 49

56 + 3 = 61

2 x 0 = 0

5 x 5 = 25

Step-by-step explanation:

I think Squishmallows are made of fluff and cotton.

As for rulers, WOOD

Pens, ink, and plastic

hahahaaha i cant believe no one answered this yet, they probably thought this was an actual math problem they had to use much braincells for-

The answers for addition are 3,49,59 and multiplication are 0 and 25.

Any symbol that denotes a mathematical operation is known as an operator. Examples are d/dx and Square root of x (which implies that the square root should be taken) (which indicates differentiation with respect to x is to be performed).

These operators are + for addition, - for subtraction, * for multiplication, / for division, and % for percentage (modulo).

So:

2+1=3

40+9=49

56+3=59

2*0=0

5*5=25

Therefore,The solutions to the addition and multiplication problems are 0 and 25 respectively.

For the other part

Squishmallows are made of cotton and fluff.

rulers are made of WOOD

Ink and plastic and metal is used to make pens.

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The equations for the coordinates of the endpoint F should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

In this problem we know the coordinates of the endpoint E and the midpoint M of the line segment EF and we need to derive expressions of the coordinates of the endpoint F by the midpoint formula:

M(x, y) = 0.5 · E(x, y) + 0.5 · F(x, y)

2 · M(x, y) = E(x, y) + F(x, y)

F(x, y) = 2 · M(x, y) - E(x, y)

If we know that M(x, y) = (35, - 3) and E(x, y) = (15, 26), then the coordinates of the endpoint F are:

F(x, y) = 2 · (35, - 3) - (15, 26)

F(x, y) = (70, - 6) + (- 15, - 26)

F(x, y) = (55, - 32)

The equations should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

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The endpoint F's coordinates should be given by the formula

x = 2×35 - 15 and y = 2×(- 3) - 26.

In order to solve this problem, we need to derive expressions for the coordinates of the endpoint F using the midpoint formula.

We know the coordinates of the endpoint E and the midpoint M of the line segment EF.

M(x, y) = 0.5×E(x, y) + 0.5×F(x, y).

2×M(x, y) = E(x, y) + F(x, y).

F(x, y) = 2×M(x, y) - E(x, y).

Given that M(x, y) = (35, -3) and E(x, y) = (15, 26), the endpoint F's coordinates are,

F(x, y) = 2×(35, - 3) - (15, 26).

F(x, y) = (70, - 6) + (- 15, - 26).

F(x, y) = (55, - 32).

The equations should be x = 2×35 - 15 and y = 2×(- 3) - 26.

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Explanation:

The x coordinates are the same, so we subtract the y coordinates and use absolute value to ensure the result isn't negative.

|-30.5 - 9.7| = |-40.2| = 40.2

One unit represents 1 km, so 40.2 units represent 40.2 km

This converts to 40,200 meters. Multiply by 1000 to go from km to meters.

The volume of the hemisphere is found as 695.55 cm³.

The formula for finding the volume of the hemisphere is;

V = (4/3)πr³

where, π = 3.14

r = radius

For the given question, the diameter of the hemisphere is 11 cm.

Radius = 11/2 = 5.5 cm.

Put the value in formula.

V = (4/3)×3.14×5.5³

V = 695.55

Thus, the volume of the hemisphere is found as 695.55 cm³.

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$1470 more money  does Michael have  than Steven after 1 year.

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Rate of interest is simple interest for Steven in a savings account. He can withdraw his money any time he wishes to.

Steven will receive after 1 yr an interest payment of

=35000×1.8/100

=35000×0.018

=630

Michael invests his inheritance in a CD (Certificate of Deposit) account. He gave up access to his money for a specified period of time. Assuming that given rate of interest is annual.

=35000×6/100

=35000×0.06

=2100

Therefore, Micheal has more money than Steven.

=2100-630

=1470.

Hence $1470 more money  does Michael have  than Steven after 1 year.

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The net pay of  Alisha Gregory  is $30606.4

Since we are given the weekly gross  pay of her  is $640

The annual gross pay will  be  52 *  640 =33280.

Here the local income tax is  1.5% of the gross, which is  1.5/100 * 33280  = 499.2 and  it is also specifically said that the state tax is the 3.0% of taxable income.

So we have:

3/100 * 33280= 998.4

The medical insurance is $1,940 for a year from where the company  pays 60 %

For which we have:

60/100 *1940

= 1164

At the last he pays  $4.50  for union dues and $7.50 for others.

Since we know that the net pay is nothing but the amount we get after subtracting the deductions from the annual gross pay

So the net pay = 33280- (499.2+998.4+1164+4.50+7.50)

                         =  33280  -(2673.6)

                         =  30606.4

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Answer:

Step-by-step explanation:

n-2=10n+42

add 2 to both sides

n-2+2=10n+42+2

simplify

n=10n+44

subtract 10n from both sides

n-10n=10n+44-10-n

simplify

-9n=44

divide both sides by -9

-9n/-9=44/-9

n=-44/4

Answer: -85403

Step-by-step explanation:

[tex] \frac{7}{100} \times 41 \\ = 2.87[/tex]

ATTACHED IS THE SOLUTION

Required:

We need to fill the given diagram with suitable words.

Explanation:

Consider the first line.

There is a choice of fish-bottled water is coming from fish and bottled water.

Consider the second like there is Chicken-bottled water and we have bottled water.

There must be chicken under food.

There are only three types of drink that are Bottled water, Soft drink, and juice.

In drinks for fish, there are already two drinks Bottled water and juice so the remaining is Soft drinks.

Chicken and juice give a choice of Chicken-Juice.

Vegetable and Juice give a choice of Vegetable- Juice.

y=x+23 is the linear equation that gives the rule for the given table .

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

The following is how the linear equation can be expressed in a slope-intercept form:

y = mx + b

where

slope = m

y-intercept = b

Using the table we get two points:

(1,24) and (2,25)

slope= y2-y1/x2-x1

= 25-24/2-1

=1

Now we have to calculate B using the point (1,24) and putting values in equation y=mx+b

24=1+b

b=23

So the equation is :

y=x+23

Therefore the linear equation for the given set of data table is  y=x+23.

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Answer:

x = 104

y = 74

Step-by-step explanation:

According to the figure, the quadrilateral has two pairs of parallel, opposite sides. That makes the quadrilateral a parallelogram.

In a parallelogram, opposite sides are congruent and opposite angles are congruent.

Because of congruent sides:

x - 7 = 97

x = 104

Because of congruent angles:

y = 74

Answer:

Where is the question?

Step-by-step explanation:

The value of k in the expression is equal to 9.

The expression is in the form of Cubic polynomial. A cubic polynomial is the one which can be written in the form y = ax³ + bx² + cx + d where a, b, c and d are coefficients and x, and y are independent and dependent variables respectively. The cubic polynomial f(x) = 2x³ + (k)x - 11 has a factor equal to (x-1). If it is the factor, then x = 1 is the solution of cubic polynomial and at x = 1 the value of f(x) = 0.

2(1)³ + k(1) - 11 = 0

2 + k - 11 = 0

k - 9 = 0

=> k = 9 which is the required value.

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Range of the given graph is  (-∞,+∞)

Range of the function y=f(x) is all possible value of y for different value  of x. Here value of x for which function is defined, known as domain of the function while the value of y for corresponding value of x is known as range of function.

              In the graph of the function the value of x (on X-axis) for which graph is plotted known as domain of graph while the value of y on the Y-axis is known as range of graph.

 In simple word we can say X-axis denotes domain and Y-axis denotes range

Thus, from the graph it seems very clear that the range of the given function or graph will lie between -∞ to +∞

    we can also write as y∈ (-∞,+∞)

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Two lines are perpendicular when their slopes are opposite.

You have the equation;

You can identify the slope as the number next to the x (y=mx+b, m is the slope)

the slope in the given equation is 1/2

The slope of the perpendicular line will be the opposite

Answer: Her answer is incorrect.

Step-by-step explanation: You have to distribute the negative sign to (-12), once you do that the (-12) becomes a positive making the equations -12 + 12 resulting in your answer being 0 not -24.

Answer:

4.3 dollars per pound

Step-by-step explanation:

price / pound = ?

$9.03 / 2.1 lbs. = 4.3

Answer:

[tex]a_{n}[/tex] = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 19 - 16 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

Answer:

9 groups of 3 equal 27

Step-by-step explanation:

Fill in the missing number.

9 groups of 3 equal 27

because 9 × 3 = 27