The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?

Answer:

[tex](\frac{10}{3}, 1)[/tex]

Step-by-step explanation:

1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.

This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together.  (This work is shown in the first picture.)

Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.

2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:

[tex]3x + 7 (1) = 17\\3x + 7 = 17 \\3x = 10 \\x = \frac{10}{3}[/tex]

Therefore, the answer would be [tex](\frac{10}{3} , 1)[/tex].

If you're asking how this is possible,

Answer and explanation:

If Sandy and Allen's mother does the job in 5 hours

And Allen and Sandy's contributions completes the job in 2.5 hours

5 hours - 2.5 hours =2.5 hours

Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours

Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother

A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.

Answer:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Step-by-step explanation:

The question given is:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is?

First we will Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex]

[tex]7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14[/tex]

So, the polynomial we get is: [tex]4x^2-3x+14[/tex]

Now, subtracting [tex]4x^2-3x\: from\: 4x^2-3x+14[/tex]

[tex]4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14[/tex]

The difference is 14

So, Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Answer:

I believe the correct answer is C.

Step-by-step explanation:

When you put it in simplest firm they equal the same ratio:

1/5

Answer:

I really did try man ;-;

Step-by-step explanation:

Answer:

GCF is 8

16 + 56

= 8(2 + 7)

Step-by-step explanation:

Here, we want to write the greatest common factor of 16 and 56

The greatest common factor is 8

We can use tie rewrite the sum as follows ;

16 + 56 = 8(2 + 7)

Area of the rectangle

[tex] = l \times b[/tex]

[tex] = 8 \times 6[/tex]

[tex] = 48 {in}^{2} [/tex]

Area of the semicircles

[tex] = 2 \times ( \frac{1}{2} \pi {r}^{2} )[/tex]

[tex] = \pi {r}^{2} [/tex]

[tex] = \pi {3}^{2} [/tex]

[tex] = 9\pi[/tex]

[tex] = 9 \times 3.14[/tex]

[tex] = 28.26 {in}^{2} [/tex]

Area of the figure

[tex] = 48 + 28.26[/tex]

[tex] = 76.26 {in}^{2} [/tex]

= 76.3in²

(rounded)

Answer:

76.3in squared

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

if x = 15, 8 x 15 = 120

Answer:

283:66 (A)

(Can I get brainliest please)

Answer:

Answer

Aaaaaaaa it had to be at least 20 characters

Answer:

$5.25

Step-by-step explanation:

Calculation for how much would fifteen juice boxes cost

Cost of fifteen juice boxes=15/12=x/$4.20

Cost of fifteen juice boxes=x=15*$4.20/12

Hence,

x=63/12

x=$5.25

Therefore the amount that the fifteen juice boxes would cost is $5.25

Answer:

$5.25

Step-by-step explanation:

First, we need to divide $4.20 by 12.

4.20 / 12 = 0.35

We now know that a juice box costs $0.35.

Now, multiply $0.35 by 15.

0.35 * 15 = 5.25

So the answer is $5.25.

I hope this helps!

The value of x is 5 from the diagram.

The sum of interior angle of a triangle is 180 degrees. Hence:

From the information given,;

73 = 8y - 7 (base angles are equal)

8y = 80

y = 10

Take the sum of the angles:

73  + 6x + 4 + 73 = 180

6x + 150 = 180

6x = 30

x= 5

Hence the value of x is 5 from the diagram.

Learn more on triangles here: https://brainly.com/question/2938476

The value of x is 5.

Since triangle ABC is an isoceles triangle, angle A = Angle C(base angles of an isoceles triangle are equal)

Since angle A = 73° and angle C = (8y - 7)°

angle A = angle C

⇒ 73 = 8y - 7

Adding 7 to both sides, we have

73 + 7 = 8y - 7 + 7

80 = 8y

Dividing both sides by 8, we have

y = 80/8

y = 10

Also, angle A + angle B + angle C = 180° (sum of angles in a triangle)

73 + 6x + 4 + 8y - 7 = 180

Collecting like terms, we have

73 + 4 - 7 + 6x + 8y = 180

6x + 8y + 70 = 180

Subtracting 70 from both sides, we have

6x + 8y + 70 - 70 = 180 - 70

6x + 8y = 110

Making x subject of the formula, we have

6x = 110 - 8y

x = (110 - 8y)/6

Substituting the value of y into the equation, we have

x = (110 - 8y)/6

x = (110 - 8 × 10)/6

x = (110 - 80)/6

x = 30/6

x = 5

So, the value of x is 5.

Learn more about angles in a triangles here:

https://brainly.com/question/7888180

Answer:

[tex]H = 59.4[/tex]

Step-by-step explanation:

The question is an illustration of dilation.

From the small shape, we have:

[tex]Body = 3[/tex]

[tex]Height = 2.2[/tex]

From the big shape, we have:

[tex]Body = 81[/tex]

Height = ??

Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights

i.e.

[tex]Body_{Small} : Body_{Big} = Height_{Small} : Height_{Big}[/tex]

Substitute the right values

[tex]3 : 81 = 2.2 : H[/tex]

Express as fraction

[tex]\frac{3}{81} = \frac{2.2}{H}[/tex]

[tex]\frac{1}{27} = \frac{2.2}{H}[/tex]

Make H the subject

[tex]H = 2.2 * 27[/tex]

[tex]H = 59.4[/tex]

Hence, the height of the big shape is 59.4 units

Answer:

If the number is x, then the equation is;

x-m = 5 + n

Step-by-step explanation:

Here, we want to write the given statement in algebraic form

What number exceeds m by five more than n

Let the number be x

x-m = n + 5

Answer:

78

Step-by-step explanation:

11 + x = 89                Subtract 11

11 - 11 + x = 89 -11

x = 78

Step-by-step explanation:

Hey there!

Given;

y+x= 89.......(a)

y = 11

~ Substitute the value of y on equation (a)

11+x = 89

~ Subtract 11 from both sides.

11+X -11 = 89-11

x = 78.

Therefore, the value of x is 78.

Hope it helps....

Answer:

Find the area of kitchen

21×3=63

if tile costs $0.95 per foot,

then 63÷0.95=66.36

thus the cost will be $66.36

Answer:

9

Step-by-step explanation:

This is the answer because:

1) The mode is the element that occurs most in the data set. In this case, 9  occurs 4 times.

Therefore, the answer is 9.

Hope this helps! :D

.................................

Step-by-step explanation:

1=0.012inch

10=0.012x10

10=0.12inch

100=0.012x100

100=1.2inch

1000=0.012x1000

1000=12inch

because if 1 poster has a thickness of 0.012 inch

than you have to multiple the number of posters with 0.012 inch

Answer:

third choice

Step-by-step explanation:

His final salary must be 100% so to find it,

100%/70%×$54500

=$77857.14≈$77857

Answer:

77,857$

Step-by-step explanation:

correct on odyssey

Answer:

B/2) Two-Thirds Or 2/3

Step-by-step explanation:

Answer: ok

Step-by-step explanation:

Answer:

what situation...there"s no any situation

Answer:

[tex]a_2 = a_1 + 6 = -13 + 6 = -7[/tex]

[tex]a_3 = a_2 + 6 = -7 + 6 = -1[/tex]

Step-by-step explanation:

Can you find a₄ and a₅ yourself?

Answer:

a1=-13 so a-13-1+6=-8 continue with this formula and you will get the 3 left terms

and the next -8-1+6=-3

and the -3-1+6=2

the last one 2-1+6=7 that's all

Answer:

Kimberly is hiking a huge canyon. Every very hour, she hikes down the canyon, and gets -7 feet deeper. How many feet deep is she in 4 hours?

Step-by-step explanation:

I hope this is good.

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

Answer:

x>5 have a great day

Step-by-step explanation:

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

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