Mr.quick bought a new computer system.Regular price was 1580,but he got a 15% discount how much did he pay

Answer: 0.5

Step-by-step explanation:

Let the number be x , then

42% of x = 0.21

0.42x = 0.21

divide through by 0.42

x = 0.21/0.42

x = 0.5

Therefore : 42% of 0.5 = 0.21

Answer:

.5

Step-by-step explanation:

.42/1 * x = .21

x = .21/.42

x = .5 or 1/2

The correct answer is option B, as the solution of  the equation:

[tex]\frac{1}{3 m}+\frac{6 m-9}{3 m}=\frac{3 m-3}{4 m}[/tex]  is [tex]\frac{23}{15}[/tex]

Solving this type of equation containing the fractions involves the mathematical operations like finding a common denominator, combining the fractions, eliminating the fraction denominators, cancelling common terms, distributing, adding/subtracting to both sides, simplifying, and dividing both sides by the same factor.

The Steps of calculation are as follows:

Let's verify the answer:

We had the equation:

[tex]\[\frac{1}{3m} + \frac{6m - 9}{3m} = \frac{3m - 3}{4m}\][/tex]

And we simplified it to:

[tex]\[\frac{6m - 8}{3m} = \frac{3m - 3}{4m}\][/tex]

Next, we cross multiplied:

[tex]\[4m(6m - 8) = 3m(3m - 3)\][/tex]

[tex]\[24m^2 - 32m = 9m^2 - 9m\][/tex]

We then brought all terms to one side:

[tex]\[24m^2 - 9m^2 - 32m + 9m = 0\][/tex]

[tex]\[15m^2 - 23m = 0\][/tex]

Factoring out m:

[tex]\[m(15m - 23) = 0\][/tex]

So, either m = 0 or 15m - 23 = 0.

If 15m - 23 = 0, then [tex]\(m = \frac{23}{15}\)[/tex].

Therefore, the correct answer is: b. [tex]\frac{23}{15}$[/tex].

Answer:

Volume of metal piece  = 3680 mm³

Step-by-step explanation:

volume of horizontal cuboid:

V =  l * b * h

= 30 * 8 * 8 = 1920 mm³

Volume of vertical cuboid:

breadth = 10 mm

Length = 14+8 = 22 mm

Height = 8 mm

V = 22 * 10 * 8

=  1760 mm³

Volume of metal piece = 1920 + 1760

   = 3680 mm³

Answer:

3680  

i got  100 on test

Commutative property of multiplication

My explanation is attached in the image provided.

Answer:

Part 1) The graph in the attached figure N 1

Part 2) The graph in the attached figure N 2

Step-by-step explanation:

Part 1) we have

Line 1: y-intercept: 3 ordered pair: (3, 4)

we know that

To draw a line we need a minimum of two points

Remember that the y-intercept is the value of y when the value of x is equal to zero

so

In this problem we have

(0,3) and (3,4)

Plot the points on a coordinate plane and connect them to graph the line

see the attached figure N 1

Part 2) we have

Line 2: y=-2x+2

Find the intercepts of the line

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0

[tex]y=-2(0)+2=2[/tex]

The y-intercept is the point (0,2)

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0

[tex]0=-2x+2\\2x=2\\x=1[/tex]

The x-intercept is the point (1,0)

Plot the intercepts and connect them to graph the line

see the attached figure N 2

Answer:

Part 1) The graph in the attached figure N 1

Part 2) The graph in the attached figure N 2

Step-by-step explanation:

Part 1) we have

Line 1: y-intercept: 3 ordered pair: (3, 4)

we know that

To draw a line we need a minimum of two points

Remember that the y-intercept is the value of y when the value of x is equal to zero

so

In this problem we have

(0,3) and (3,4)

Plot the points on a coordinate plane and connect them to graph the line

see the attached figure N 1

Part 2) we have

Line 2: y=-2x+2

Find the intercepts of the line

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0

The y-intercept is the point (0,2)

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0

The x-intercept is the point (1,0)

Plot the intercepts and connect them to graph the line

see the attached figure N 2

Answer:

Step-by-step explanation:

total weight is 4 tons.

ratio of weight of truck to weight of coal is 7:5....added = 12

so 7/12 of the total weight is the truck's

and 5/12 of the total weight is the coal

7/12 of 4 tons = 7/12 * 4 = 28/12 = 2 1/3 tons <== weight of truck

5/12 of 4 tons = 5/12 * 4 = 20/12 = 1 2/3 tons <== weight of coal

Answer: 20%

Step-by-step explanation:

Percentage increase = increase / original value x 100

Increase = $12.00 - $10.00 = $2

Therefore :

% increase = [tex]\frac{2}{10}[/tex] x 100

% increase = 20

Answer:

20%

Step-by-step explanation:

12.00 - 10.00 = 2.00

2 divided by 10 = 0.2

100  multiplied by 0.2 which gives you 20%

Answer:

OPtion 3 points

Step-by-step explanation:

See the attached figure.

As shown, we can notice that the coordinates of all the points are (-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4).

The figure will be a function if for each value of x there exist a unique value of y.

In the figure, for each value of x we have two values of y. So it is not a function. We need to remove any of ordered pairs that have same input values.

From (-3,2) and (-3,3), we need to remove one point.

From (1,4) and (1,-4), we need to remove one point.

From (2,-2) and (2,-4), we need to remove one point.

It means total we need to remove 3 points from this graph so that it will be a function.

So, the correct option is 3 points.

Answer:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

Step-by-step explanation:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

Answer: $1,624

Step-by-step explanation:

The amount after x-years is given as :

9[tex]x^{2}[/tex] + 50x + 1000

Since x represents number of years , this means that after 6 years , the amount will be :

9([tex]6^{2}[/tex] ) + 50(6) + 1000

⇒9(36) + 300 + 1000

⇒324 + 300 + 1000 =

Therefore, the amount after 6 years will be $1,624

Answer:

False

Step-by-step explanation:

Answer:Q

Step-by-step explanation: EF is a segment. k is not uppercase. and MN is a line. So only Q could work.

Answer: 79.2 points

Step-by-step explanation: The word "average" is the same as the word "mean" so to find the average of the points scored in their first 5 games, we want to add up all the points and divide them by the number of games they played which is 5 games.

Let's begin by adding the numbers.

79 + 68 + 86 + 91 + 72

Adding these numbers, we get a sum of 396.

This will be divided by how many games they played which is 5.

396 ÷ 5 = 79.2

This means that the average number of points scored is 79.2 points which could round down to 79 points but don't round unless the problem asks.

4 grams sample will be left after 1 year

Step-by-step explanation:

The decay function for percentage decay is given by:

[tex]y =a (1-r)^x[/tex]

Here,

a is the initial value

r is the rate

x is the number of time periods

Given

Initial value = 100 grams

Rate = 6% = 0.06

Time = 1 year = 52 weeks

Putting the values in the formula

[tex]y = 100 (1-0.06)^{52}\\y = 100(0.94)^{52}\\y = 4.00\ grams[/tex]

Hence,

4 grams sample will be left after 1 year

Keywords: Decay, percentage

Learn more about decay functions at:

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Answer:30

Step-by-step explanation:

Answer:

I think the correct answer is

A- 40

B- 40

Answer: r ~= 24.50986

Step-by-step explanation:

This question is done by simply looking at the circumference formula for a circle (2pi r)

154= 2*pi*r

154/(2*pi) = r

r ~= 24.50986

Answer:

Step-by-step explanation:

[tex]circumference=2\pi*r\\\\2\pi*r=154\\\\2*\frac{22}{7}*r=154\\\\r=\frac{154*7}{2*22}\\\\r=\frac{49}{2}=24.5 cm[/tex]

Answer:

10 paperback and 5 hardcover books

Step-by-step explanation:

Please see attached picture for full solution.

Let's check:

total cost= 10(3) + 5(8)= $70 ✓

You could also try to solve the question by assuming John bought all paperback books first instead of all hardcover books. The answer should be the same.

Answer:

  B, E

Step-by-step explanation:

It can be helpful to factor the first two terms:

  f(x) = x^2(x -7) +36

This can make it easier to evaluate the function for different values of x.

The answer choices suggest you need to know whether f(5) and f(-14) match the values given here.

  f(5) = 5^2(5 -7) +36 = -50 +36 = -14 . . . . matches choice B (and E)

  f(-14) = (-14)^2(-14-7) +36 = -21(196) +36 . . . . does not match choice A (or D)

__

The one remaining answer choice we need to consider is C. If we look at f(0) for this equation, we find it is (-5)(-10) +14 = 64, which does not match f(0) = 36 for the function given in the problem statement.

The only true answer choices are B and E.

_____

The remainder theorem tells you that f(a) = the remainder from f(x)/(x -a).

Answer:

Step-by-step explanation:

[tex]7x+14=7(x+2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\7x+14=(7)(x)+(7)(2)\\\\7x+14=7x+14\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\7x-7x+14=7x-7x+14\\\\14=14\qquad\bold{TRUE}\\\\\bold{CONCLUSION}\\\text{The equation has infinitely many solutions}[/tex]

Answer:0.2

Step-by-step explanation: 1/10 and 1/10

Simply means this in maths

1/10+1/10

0.1+0.1= 0.2

Answer:

457

Step-by-step explanation:

I add all the numbers I could see and got 457.... i need more information hope this helps

Answer:

[tex]10 {x}^{2} + 4x[/tex]

Step-by-step explanation:

[tex] \frac{20 {x}^{2} + 8x }{2} = \frac{20x}{2} + \frac{8x}{2} = 10 {x }^{2} + 4x[/tex]

390 gallons of 90 % antifreeze must be mixed with 60 gallons of 15% antifreeze to get a mixture that is 80%

Solution:

Let "x" be the gallons of 90 % antifreeze

60 gallons of 15 % antifreeze

Then, (x + 60) is the gallons present in final mixture that is 80 %

Therefore, x gallons of 90 % antifreeze is mixed with 60 gallons of 15 % antifreeze to get a mixture that is (x + 60) gallons of 80 %

Thus, a equation is framed:

90 % of x + 15 % of 60 = 80 % of (x + 60)

Solve the above equation for "x"

[tex]90 \% \times x + 15 \% \times 60 = 80 \% \times (x+60)\\\\\frac{90}{100} \times x + \frac{15}{100} \times 60 = \frac{80}{100} \times (x+60)\\\\0.9x + 0.15 \times 60 = 0.8(x + 60)\\\\0.9x + 9 = 0.8x + 48\\\\0.9x - 0.8x = 48 - 9\\\\0.1x = 39\\\\ x = 390[/tex]

Thus 390 gallons of 90 % antifreeze must be mixed

The total number of possible outcomes when rolling a six-sided number cube twice is 36. This is calculated by multiplying the 6 possible outcomes from the first roll with the 6 possible outcomes from the second roll.

When you roll a six-sided number cube two times, you create a series of possible outcomes that can be categorised by understanding that each roll is independent of the other. On the first roll, you have 6 possible outcomes (1, 2, 3, 4, 5, or 6), and for the second roll, regardless of what the first number was, you again have 6 possible outcomes. To find the total number of outcomes possible when rolling a cube twice, you multiply the number of outcomes for each event. So, we calculate the total outcomes with 6 (for the first roll) times 6 (for the second roll), which equals 36 possible outcomes.

This means that rolling two dice can lead to one of thirty-six different combinations, where the first number of the pair corresponds to the result of the first roll and the second number to the result of the second. For instance, if you first roll a 4 and then a 3, one possible outcome is (4,3).

It is important to note that when calculating probabilities for specific sums of the two dice, such as the probability of rolling a seven, the outcomes are not all equally likely. If we consider the sum of the dice, rolling a two is less likely than rolling a seven because there's only one combination (1,1) for a sum of two, while there are six combinations (1,6; 2,5; 3,4; 4,3; 5,2; 6,1) for a sum of seven.

Answer:

1.3

Step-by-step explanation:

Radius is half of a diameter so you just need to divide 3.6 by 2

Answer:

1.8

Step-by-step explanation:

The formula for diameter and radius is 2r = d, if we solve this equation we get 2r = 3.6 So, divide 3.6 by 2 and you got your answer!

[tex]\text{You're solving the equations:}\\\\4r - 5 = 17\\ 12 - 2s = 2\\\\\text{Solve for r:}\\\\4r-5=17\\\\\text{add 5 to both sides}\\\\4r=22\\\\\text{Divide both sides by 4}\\\\\boxed{r=5.5}\\\\\text{Solve for s:}\\\\12 - 2s = 2\\\\\text{Subtract 12 from both sides}\\\\-2s=-10\\\\\text{Divide both sides by -2}\\\\[/tex]

[tex]\boxed{s=5}[/tex]

An equation is formed when two equal expressions. The product of r and s is 27.5.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation 4r - 5 = 17 can be solved for r as shown below,

4r - 5 = 17

Add 5 on both the sides of the equation,

4r - 5 + 5 = 17 + 5

4r = 22

Divide both the sides of the equation by 4,

4r / 4 = 22 / 4

r = 11/2

r = 5.5

The given equation 12 - 2s = 2 can be solved for s as shown below,

12 - 2s = 2

Subtract 12 from both the sides of the equation,

12 - 2s - 12 = 2 - 12

-2s = -10

Divide both the sides of the equation by -2,

-2s/-2 = -10/-2

s = 5

Now, the product of r and s can be written as,

r × s

= 5.5 × 5

= 27.5

Hence, the product of r and s is 27.5.

Learn more about Equation here:

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6.9 for X and -0.55 for X and 1 for Y

Step-by-step explanation:

The numerical Coefficient is said to be the fixed number that is in multiple with the variable. If the number is not with the variable then it is not taken into account.

STEP 1:

6.9 is the coefficient for X

STEP 2:

-0.55 is the coefficient for x

STEP 3:

1 is the coefficient for y

STEP 4:

343 a 2.65 not considered as the don't have the variables.

Answer:

Step-by-step explanation:

1st year- 7*3=21

2nd year- 21*3=63

Answer:

Up

Step-by-step explanation:

Shifting a graph a number of units up is a vertical translation. So, in a vertical translation, we shift the graph up by adding a constant at the end of the function.

In any function [tex]f(x)[/tex]. If we add the constant [tex]d[/tex] at the end of the function, then this will shift graph of the function [tex]d[/tex] units up.

Answer:

The arc length of the semicircle is half the circumference of the full circle

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=11 \end{cases}\implies C=2\pi (11)\implies C=22\pi \\\\\\ \stackrel{~\hfill \textit{a semicircle has half of that}}{C=\cfrac{22\pi }{2}\implies C=11\pi \implies C\approx 34.56}[/tex]