10(x-2)+(6x-6)
Linear equations

Answer:

Let's call:

f = price of 1 cup of dried fruit

a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

Solve for a in first equation:

a = (6 - 3f) / 4

Then substitute in the second equation:

41/2 f + 6 · (6 - 3f) / 4 = 9

41/2 f + 9 - 9/2 f = 9

16 f = 0

f = 0

Now, substitute this value in the formula found for a:

a = (6 - 3·0) / 4

  = 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

Step-by-step explanation:

Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

Answer:

30 31 33 are the three integer consective

Answer:

$31.68

Step-by-step explanation:

1.4 x 9.15 = $12.81

0.8 x 10.75 = $8.60

2.6 x 3.95 = $10.27

12.81 + 8.60 + 10.27 = $31.68

Answer:

Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).

Answer:

26isthemedian

Step-by-step explanation:

This is cross multipication.  Multiply 117 times 36 together for that you would use a calculator. You get 4221. Next step is to multiply x and 12 together that would be 12x.

4221= 12x

Divide  by 12 on both sides:

x= 351

351 is # of trouts in the lake .

Answer:

4

3

+

5

9

2

−

8

0

Step-by-step explanation:

Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]

Here 5[tex]\neq 3[/tex]

Hence inequality holds

#2

[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]

[tex]\\ \sf\longmapsto 7-7=7-7[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

Equality holds

#3

[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]

Equality holds

Done

The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

The inequality is represented as:

[tex]2x + y >4[/tex]

Subtract 2x from both sides

[tex]y >4 - 2x[/tex]

Rewrite the inequality as:

[tex]y >- 2x+4[/tex]

The linear inequality is represented as:

[tex]y >mx+c[/tex]

Where:

So, by comparison:

[tex]m = -2[/tex]

[tex]c = 4[/tex]

This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

See attachment for the graph of the inequality

Read more about inequalities at:

https://brainly.com/question/11234618

The length of the trails can be determined be using a formula related to

Pythagorean theorem, which makes use of the rise and run of a trail.

Reasons:

The location of the park = (1, 9)

The stating point of Trail A = (-7, -6)

Starting point of Trail B = (6, -3)

The length of a trail is adapted from the formula for the distance between points which is a form of Pythagorean theorem as follows;

[tex]Length \ of \ a \ trail, \ L = \mathbf{\sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}}[/tex]

Therefore;

[tex]Length \ of \ trail, \ A = \sqrt{\left (1-(-7) \right )^{2}+\left (9-(-6) \right )^{2}} = \mathbf{17}[/tex]

[tex]Length \ of \ trail, \ B = \sqrt{\left (1-6 \right )^{2}+\left (9-(-3) \right )^{2}} = \mathbf{13}[/tex]

The difference between the lengths of the trails = 17 mi - 13 mi = 4 miles

Therefore;

Trail A is 4 miles longer than Trail B

Learn more about finding the distance between two points on a graph here:

https://brainly.com/question/9917504

Answer:

altitude = 15 cm

Step-by-step explanation:

you can use the Pythagorean Theorem where you have a right triangle with a base of 8 (half of 16), a hypotenue of 17, and the altitude is 'a'

a² + 8² = 17²

a² + 64 = 289

a² = 225

a = [tex]\sqrt{225}[/tex]

a = 15

Answer:

16

Step-by-step explanation:

38 divided by 2 3/8 is 16 and 16 times 2 3/8 is 38

Let x equal the number of tiny book boxes and y equal the number of large book boxes.

Because John must pack at least 35 boxes:

(number of tiny book boxes) + (number of large book boxes) = (at least) 35

x + y ≥ 35

Since John needs to pack at least 350 books:

(number of small books packed) + (number of large books packed) (is at least) 350

(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350

15x + 8y ≥ 350

Your system of inequalities is:

x + y ≥ 35

15x + 8y ≥ 350

Answer:

[tex]\frac{1}{x}[/tex]

Step-by-step explanation:

[tex]\frac{3x - 12}{3x^{2} - 12x}[/tex]

[tex]\frac{3x - 12}{x(3x-12)}[/tex]          Factor out x.

[tex]\frac{1}{x}[/tex]                    Simplify.

Answer:

x=15

Step-by-step explanation:

the basic property is: AB/AD=BC/CD, for more info see the attachment.

We conclude that the triangles are congruent, so the statement is true.

We can see two right triangles ABC and DEF.

In the diagram, we can see that BA = CE, and BC = EF.

And because both are right triangles, we can conclude that FD is equal to AC.

So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.

If you want to learn more about congruent figures:

https://brainly.com/question/1675117

#SPJ5

Answer:

Step-by-step explanation:

There is no answer I looked it up and it said 0=0

Answer: 10g+6h+8

So none of the above I think

Step-by-step explanation:

Answer:

It should be C none of the above

26 green apples

if you do 0.4 * 65 you get 26 which is 40% of 65

hope this helps!

Answer:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Step-by-step explanation:

You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:

[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]

From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:

You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Answer:

1/3=0.33 barred(the threes go on infinitly)

1/6=16666 barred(the sixes go on infinitly)

1/6 as a percent is 16.66% barred(the sixes go on infinitly)

Hope This Helps!!!

Answer:

A. 0.17 (rounded)

B. 16.7%

Step-by-step explanation:

Answer:

the solution is  =  7

[tex]3 + 5(t - 1) = 33 \\ = > 3 + 5t - 5 = 33 \\ = > 5t = 33 - 3 + 5 \\ = > 5t = 30 + 5 \\ = > 5t = 35 \\ = > t = \frac{35}{5} \\ = > t = 7[/tex]

Answer:

7

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

67 gallons at 335 minutes

81 gallons at 405 minutes

Step-by-step explanation:

I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.

In the form of y=mx+b,

this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x

y is the volume in gallons and x is the time in minutes.  The slope, (1/5), is the rate of filling the tank, in gallons/minute.

The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:

At 335 minutes, y = (1/5)(335), or 67 gallons

At 405 minutes, y = (1/5)(405) = 81 gallons

Answer:

674.667 feet per second

Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

Answer:

A: 25,000 Woman Enrolled. B: For Every 5 woman Enrolled 2 men are Enrolled also so the constant rate is 5 x 2

Step-by-step explanation: