An item is regularly priced at $50 . It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?

Answer: x=8 and y=29

Step-by-step explanation:

Since the lines M and N are parallel to each other, the corners that are across from each other are equal. This is true for the corners formed by the lines on the top and bottom.

So, all of the given equations can be set equal to each other. ie: (5x+9)=(4x+17)=(y+20).

Now, since the first two expressions both have x as their only variable, set those equal to each other and do not include the y expression.

ie: (5x+9)=(4x+17)

Now solve for x by subtracting 4x from each side.

ie: x+9=17

Now subtract 9 from each side

ie: x=8

Now you have your X value

Use your X value to solve one of the x variable equations.

ie: 5(8)+9

This equals 49.

Use this answer to substitute it in the equation where we set them all equal.

ie: 49=y+20

Now solve for y using this equation

ie: y=29

Answer:

4

Step-by-step explanation:

fourrrrrrr

2x + -10 = 10 + -3x

Explanation

Reorder the terms:

-10 + 2x = 10 + -3x

-10 + 2x = 10 + -3x

Solving for variable x

Move all terms containing x to the left, all other terms to the right

Add 3x to each side of the equation

-10 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x

-10 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0

-10 + 5x = 10 + 0

-10 + 5x = 10

Add '10' to each side of the equation.

-10 + 10 + 5x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 5x = 10 + 10

5x = 10 + 10

Combine like terms: 10 + 10 = 20

5x = 20

Divide each side by '5'.

x = 4

Answer

So your answer is x=4

hope that helps you:)

Answer:

Step-by-step explanation:

Volume formula  V= lwh

Given

Volume is:

Correct option is A

Answer:

fraction 3 and 3 over 5 cubic feet

Step-by-step explanation

Answer:

0.7 is the growth factor

0.3 is the growth rate

Step-by-step explanation:

Here, we want to get the growth rate and the growth factor

Let us consider the general form of an exponential equation

That will be;

y = a(1 + r)^n

The growth rate is r

while the growth factor is the term (1 + r)

From the given exponential function;

-0.3 is the rate of increase

Growth rate is 1-0.3 = 0.7

Carrie must have invested £2550 at 8% interest rate for 1 year

What is the present value of £2754 ?

The present value of £2754  is its today's worth of the £2754  that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754  today

PV=FV/(1+r)^N

PV=amount invested=unknown

FV=worth of investment after 1 year=£2754

r=interest rate=8%

N=number of years since invested=1

PV=£2754/(1+8%)

PV=£2754/1.08

PV=£2550

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Answer: 5.8

Step-by-step explanation:

To find the answer to this question, you need to find the difference between the two numbers. To find the difference between the two numbers you have to subtract.

 9 - 3.20 = 5.8

Answer:

$4

Explanation

3.20 / 4 = .80   .80 x 9 = 7.20   7.20 - 3.20 = 4

Answer:

84

Step-by-step explanation:

6•11 for rectangle and 1/2 6•6 for triangle add and you get 66+18=84

Answer:

84

Step-by-step explanation:

find the area of the triangle first

= 1/2 * 6 * 6

=18 in^2

rectangle

= L * W

= 6*11

= 66 in^2

therefore, 66+18

=84

Answer:

12/37

Cos D = 12/37

Answer:

It's D

Step-by-step explanation:

10 divided by 20

Answer:

Yes

Step-by-step explanation:

Using the segment addition postulate, the value of p = 5, and YZ = 9 units.

Since point Y lies between points X and Z, the three points are collinear, therefore, based on the segment addition postulate, XY + YZ = XZ.

Given the following:

XY = 3p

YZ = 2p - 1

XZ = 6p - 6

Substitute

3p + 2p - 1 = 6p - 6

Add like terms

5p - 1 = 6p - 6

5p - 6p = 1 - 6

-p = -5

p = 5

YZ = 2p - 1

Plug in the value of x

YZ = 2(5) - 1

YZ = 9 units.

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The number of protozoa makes a series where every next term is double its previous term so on the slide now the number of protozoa is 16.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

Number of protozoa 5 days ago = 1

Since protozoa double every 1.25 days.

Number of times protozoa doubles in 5 days ⇒

5 / 1.25 = 4 times.

So,

1 →2 → 4 → 8 → 16

Hence "The number of protozoa on the slide now is 16".

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Answer:

[tex]\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]

Step-by-step explanation:

[tex]Lets\ take\ \pi 's\ approximate\ value\ as\ 3.14159\\Hence,\\ \pi +3\\=3.14159+3\\=6.14159\\2\pi -\sqrt{9} \\=2*3.14159-3\\=6.28318-3\\=3.28318\\\frac{\pi }{2} \\=1.570795\\[/tex]

[tex]As\ we\ can\ see\ that,\\6.14159>3.28318>1.570795,\\Their\ corresponding\ values\ are\ also\ in\ the same\ order:\\\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]

Answer:

24/6=4

48/6= 8

so x=8

Step-by-step explanation:

Answer:

c. 1

Step-by-step explanation:

edge 2020 :)  have a nice day

The required value of f(-2.2) is 1 for the given function f(x)=x+3. The correct answer is an option (C).

The given function is f(x)=x+3.

To find f(-2.2) on the given graph of f(x) = x + 3, we need to locate the corresponding point on the step graph.

From the information provided, we know that the left-most segment starts at (-5, -1) and ends at (-4, -1), and each segment is 1 unit higher and 1 unit farther to the right than the previous segment.

To determine the value of f (-2.2), we need to find the segment that includes the x-coordinate of -2.2.

Since the x-coordinate -2.2 falls between -4 and -3 (1 unit to the right of the left-most segment), the corresponding y-coordinate is 2 units higher than the starting y-coordinate of -1.

So, f(-2.2) = −1 + 2

f(-2.2)  = 1.

Thus, the required value of f(-2.2) is 1.

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Answer:

the answer is that X= -8/5

Step-by-step explanation:

At the chili festival both restaurant (a) and (b) have the same record of winnings as they have equivalent fractions: 4/7

Information about the problem:

Calculating which restaurant has the better record, we get:

Rate (a) = Winnings restaurant a / Contest restaurant a

Rate (a) = 56/98

Simplifying, we get:

Rate (a) = 4/7

Rate (a) = 0.5714285

Rate (b) = Winnings restaurant b / Contest restaurant b

Rate (b) = 84/147

Simplifying, we get:

Rate (b) = 4/7

Rate (b) = 0.5714285

That means 56/98 and 84/147 are equivalent fractions.

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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Answer:

$4.25

Step-by-step explanation:

Easy price is 85 so

Divide 85 by 100

0.85

then multiply by 5

0.85*5=4.25

Brainliest please and you're welcome

Answer/step-by-step explanation:

We know that during their first year, the company caught 95,000 fish, and the amount of fish caught decreased 4% each year. First, let's calculate 4% of 95,000, by doing the equation: 95,000 x 0.04 = 3,800

So, each year, the company catches 3,800 less fish.

In order to find out how many fish the company caught in ten years, we need to multiply 3,800 x 10 and then subtract it from 95,000. Then we need to multiply that number by 10.

3,800 x 10 = 38,000

95,000 - 38,000 = 57,000 x 10 = 570,000.

Therefore, the company caught a total of 57,000 fish in the first ten years.

Hope this helps! :D

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

Explanation:

Recall that midsegments are half as long as the side they are parallel to. In this case, midsegment PQ is parallel to segment GJ. This means PQ is half as long as GJ. Phrased another way, we can say GJ is twice as long as PQ.

So,

GJ = 2*PQ

Also, we can see that GR = RJ due to the triple tickmarks they share. This leads to GJ = GR+RJ = RJ+RJ = 2*RJ

Or in short,

GJ = 2*RJ

---------

In summary we can see that

equating both right hand sides leads to

2RJ = 2PQ

RJ = PQ

Because PQ is 10 units, this means RJ is also 10 units.

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

Another way to see why PQ = RJ is to notice how triangles HPQ and QRJ are congruent triangles (use SAS to prove this). The corresponding pieces PQ and RJ are the same length, so PQ = RJ = 10.

Part (a)

Note 999999=1000000-1. By Fermat's little theorem, since 100000=10⁶,

[tex]10^{6} \equiv 1 \pmod{7} \\ \\ \therefore 10^{6}-1 \equiv 0 \pmod{7}[/tex]

Part (b)

Note that

[tex]10^{12n}-1=(10^n)^{12}-1 \equiv 0 \pmod{13}[/tex]

Since

[tex]1 = 1001 - 1000[/tex]

and

[tex]-1 \equiv 1000 \pmod{1001}[/tex]

10³ is its own inverse modulo 1001, meaning that:

[tex]10^3 x \equiv 1 \pmod{1001} \implies x=10^3 \\ \implies 10^{12n}=(10^3 \cdot 10^3)^{2n} \equiv 1 \pmod{1001} \\ \\ \implies 10^{12n}-1 \equiv 0 \pmod{1001}[/tex]

Answer:

The equation of the line:

[tex]y=\frac{3}{2}x+9[/tex]

Step-by-step explanation:

Given

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2/3

perpendicular to m = -1/m

                                 [tex]=-\frac{1}{\left(\frac{-2}{3}\right)}=\frac{3}{2}[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 3/2 and the point (-4, 3)

[tex]y-3=\frac{3}{2}\left(x-\left(-4\right)\right)[/tex]

[tex]y-3=\frac{3}{2}\left(x+4\right)[/tex]

Add 3 to both sides

[tex]y-3+3=\frac{3}{2}\left(x+4\right)+3[/tex]

[tex]y=\frac{3}{2}x+9[/tex]

Thus, the equation of the line:

[tex]y=\frac{3}{2}x+9[/tex]

Answer: [tex]c. (t:58\leq t\leq 70)[/tex]

Step-by-step explanation:

given data:

T =  58 degree Celsius.

changes in temperature = 3dregres every hour = 4.

solution:

[tex]t=58+3h\\where h = 4[/tex]

substitute the value for h into the equation.

[tex]t=58+3(4)\\t=58+12\\t=70[/tex]

the set with [tex]58\leq t\leq 70[/tex]  best represents the function range.

Answer:

1

Step-by-step explanation:

10% percent of 10 is 1.   I hope this helps you out!

Answer:

$1.00

Step-by-step explanation:

10 times .1 = 1

Answer:

I will helpppppppppp uuuuuuu

Step-by-step explanation:

Answer:49 cents

Step-by-step explanation:

U have to divide the 1.47 into 3