A jacket at Academy is $60. You have a coupon for 20% off. What is the new price?

Answer:Hello! Here we have a cube, with a mass of 10g and a side length of 2.5cm.

First we want to determine the volume.

The volume of a cube, is equal to his cubic side length, where  L is the side length:

So  

So the volume of the cube is 15.625 cubic centimeters.

Now we want to calculate te density of the material, as you know:

This means that the density is 0.64 grams per cubic centimeter.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1. Determine the value: V=L^3

so, (1.7)^3= 4.913

2. Calculate the density: mass divided by volume

10 divided by 4.913= 2.0

Answer: 2

Answer:

The square root of a perfect square will always be a whole positive or negative number

Step-by-step explanation:

Answer:

t-5=12

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

============================================

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

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

The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.

Answer:

He pays taxes on the amount after the discount. So 10% of $40.50 versus $45.

Step-by-step explanation:

10% on $40.50 = $4.05

10% on $45.00 = $4.50

when you take 10% of $45, you're left with $40.50 because you'd do 40*10/100. when you go to add the 10% tax, you are no longer taxing $45, you're taxing $40.50 which is $4.05. 40.50+4.05=44.55

Answer:

C. 8

Step-by-step explanation:

I almost thought this was going to be Pythagorean Theorem, but no.

Use Cosine Law:

cos θ =  [tex]\frac{10^2 + 21^2 - 17^2}{2(10)(21)}[/tex]

θ = cos−1(0.6)

θ = 53.130...

Now use the SOHCAHTOA ratio for sine ([tex]\frac{opposite}{hypotenuse}[/tex]) to find x now that you have one angle:

sin θ = [tex]\frac{x}{10}[/tex]

x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)

x = 8

Answer:

1/2

Step-by-step explanation:

1/2*1*1= 1/2

Answer:

part one:

6 3

22 1

30 0

part two:

0.50*s+4*a=15

Step-by-step explanation:

part one:

firstly:

6 individual songs cost 6*0.50= 3 dollars

she has 15 dollars so after downloading 6 individual songs that cost 3 dollars together

it means that she has only 15-3=12 dollars to download full albums

so 12/4=3 albums

because 4 dollar cost one album and with 12 dollars she can buy just 3 albums

secondary:

she downloaded 1 album

and one album cost 1*4=4 dollars

she has 15 dollars ,after buying 1 album

she has 15-4=11 dollars

so she can download 11/0.50=22 individual songs

so she can download 22 individual songs.

the last one:

she downloaded 30 individual songs

that all together cost 30*0.50=15 dollars

but she has 15 dollars at all so she cant buy any album because she spent all her money in individual songs.

because 15-15=0 money left

part two:equation

0.50*s+4*a=15

Answer:

$33.28

Step-by-step explanation:

Find the cost of 1 pound of peach by divind by 3 then times that cost by 8.

Answer:

y=1/2x-10

Step-by-step explanation:

X is the slope (1/2)

to find b=

-6=1/2(8)+b

-6=4+b. Subtract four from each side

-10=b

Answer:

rise = -3

run = 4

rise/run = -3/4

Step-by-step explanation:

See figure for visual

The rise/run ratio gives the slope of the line

Take any two points on the line. I chose A(x1 = 2, y1 = 3) and B(x2 = 6, y2 = 0) as shown in the graph

For these two points the rise is (y2 - y1) = 0 - 3 = -3

The corresponding run is (x2 - x1) = 6 - 2 = 4

rise/run = -3/4 which is the slope of the line. This line has a negative slope - as x increases, y decreases

Not sure if that's what they are looking for.

Hope that helps

Answer:

4x - 3

Step-by-step explanation:

Givens

f(x) + g(x)

f(x) = 3x - 5

g(x) = x + 2

Equation

f(x) + g(x) = 3x - 5 + x + 2

Solution

f(x) + g(x) = 4x - 3 Collected like terms from the equation.

Remark

If you think of f(x) and g(x) as equal to different y values, it might help you to solve questions like this.

the picture below is more or less some quick mockup of what that might be, and yes, 2 solutions or zeros is the bare minimum, because we know only 5 points on this continuous line, but it could have jumped a few times before going forwards and we are not privy to those points.

well, we can say that

f(x) has more than one zero

f(x) has exactly two zeros

I think within the circumstance both are acceptable, exactly 2 zeros is also acceptable, but is not exclusively the only valid choice, if any we could say "exactly 2 zeros" is a subset of the superset "more than one zero".

kinda like saying Sandra has Felines and she also has 3 cats, well, 3 cats are an exact number, but the plural Felines contains them, so both statements are equally valid, one is more general than the other, is all

Answer:

35 times 3= 105 times 4

Step-by-step explanation:

Order we can find the median is 56.

What is the mathematical mode?

A) 65 + 50+ 44+ 86 + 90 + 50+ 35 + 110 + 70 + 50 + 35 + 60+ 56/13

= 61.62

B) Arrange the number from small to large

35, 3,44,50,50,50,56,60,65,70,86,90,110

from this order we can find the median is 56.

c) we found that 50 was the most frequent acurrrence .

So, mode is 50.

Learn more about mode

brainly.com/question/300591

#SPJ4

Answer:

y=-3x+3 I think

Step-by-step explanation:

opposite reciprocal and use the new points y value?

the answer is:

A. slope: 9, y-intercept: -6

Answer:

A

Step-by-step explanation:

If you have s number of stools and c number of chairs, the price can be expressed as 50s + 65c. Since the question says you cannot spend more than 3000, you could spend less than or equal to 3000. So the inequality is 50s + 65c ≤ 3000.

Answer:

y=4x+3 The slope is 4 and the y-intercept is 3

Step-by-step explanation:

Answer:

slope = 4, y- intercept = 3

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 = 4x + 3 ← is in slope- intercept form

with slope m = 4 and y- intercept c = 3

Answer:

a

Step-by-step explanation:

there is only one solution

No, 4.379 is not a whole number, it is a decimal number.

Answer: No it is not a whole number.

Step-by-step explanation: Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers.

Answer:

72 Bricks would be needed.

Step-by-step explanation:

24 * 2 = 48

12 * 2 = 24

48 + 24 = 72

Answer:

Figure 1: 98, 82

Figure 2: 64

Figure 3: 157, 23

Step-by-step explanation:

Figure 1: complementary angles theorem, coordinating angles theorem

Figure 2: vertical angles theorem

Figure 3: alternate interior angles theorem, complementary angles theorem

Let me know if this helped!

**please mark brainliest!!!