A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 5 bags of potato chips for $9.50. Another customer buys 2 hot dogs and 5 bags of potato chips for $8.00. Find the cost of each item.

Answer:

I believe the answer would be 20.

Step-by-step explanation:

28/7 = 4

5*4 = 20

Pls mark brainliest <3

0Answer: The answer is 20

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

(80 - 70.40)/80 * 100 = 12

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

Answer:

It's 7.3; 74!

Step-by-step explanation:

This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...

Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].

Here, [tex]v=<2,7>[/tex].

Then, magnitude is:

[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]

The direction is:

[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].

So, the correct option is 7.3,74°.

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Answer:10

Step-by-step explanation:

Answer:

1.366km

Step-by-step explanation:

The height of the mountain is [tex]3.34Km[/tex]

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

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Farmer need 750.5 feet fencing for his triangular field.

"Triangle is  two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.

Formula used

Cosine rule

As per the diagram,

cosθ = (b² +c² -a²) / 2bc

cos 70° = 0.3420

According to the question,

Let AB = c , AC = b  are given sides of measure 120 feet and 325 feet respectively.

and BC = a

Angle between given sides be θ = 70°

Substitute the value in the formula we get,

cos70° = [ (325)² +(120)² - a²] / 2(120)(325)

⇒ 0.3420 = [ 120025 - a²] / 78000

⇒ 120025 -a² = 26676

⇒ a² = 93349

⇒ a = 305.5

Total fencing required for  triangular field = AB + BC +CA

                                                                      = 120 + 325 + 305.5

                                                                      = 750.5 feet

Hence, farmer need 750.5 feet fencing for his triangular field.

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Answer:

simplified

Step-by-step explanation:

Answer: 1 -- that is, if they share no common factors other than 1

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

1/2 x 3/4 = 3/8

You multiply the top by the number beside it and do the same for the bottom.

Answer:

$1.40

Step-by-step explanation:

Answer:

The price of the book is $7.75.

Step-by-step explanation:

Let's first establish an equation.

If I buy a book costing [tex]x[/tex] dollars and a bookmark costing 1 dollars, I will have spent [tex]x + 1[/tex] dollars. So a group of 15 people doing the same will have spent [tex]15(x+1) = 15x + 15[/tex] dollars.

Analogously, the group of 3 people has spent [tex]3(x+36) = 3x + 108[/tex] dollars.

Since we know that both groups spent the same amount of money, we can set the two expressions equal to each other:

[tex]15x+15=3x+108\\12x=93\\x=7.75[/tex]

Because [tex]x[/tex] was the price of the book, which was asked for in the question, we conclude that the answer is $7.75.

Answer:

a. x=-7 b. -8 hope this helps with the rest of them.

Step-by-step explanation:

a you -28 divided by 4 to simplify x

b. this is a little harder because 6 is a double negative. when it has 2 minus signs that makes it a positive. we have to put 6 on the other side of the equal sign. so we have to minus 6 to put it on the other side. This is because on the left its positive so to put it on the right it has to be a negative. -6 plus -2 = -8. so x is = to -8

Answer:

d.

The actual price is 12.5% higher than the expected price

Step-by-step explanation:

The percent relation of the actual price and the expected price is 12.5%

The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.

Price of the cast iron today = $28.35 x (166/100) = $47.06

The percent relation of the actual price and the expected price = ($52.95/$47.06) - 1 = 12.5%

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Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+3−2x=24

Step 1: Simplify both sides of the equation.

5x+3−2x=24

5x+3+−2x=24

(5x+−2x)+(3)=24(Combine Like Terms)

3x+3=24

3x+3=24

Step 2: Subtract 3 from both sides.

3x+3−3=24−3

3x=21

Step 3: Divide both sides by 3.

Answer: x=7

Step-by-step explanation:

Given

5x + 3 - 2x = 24

Subtract both sides by 3

5x + 3 - 3 - 2x = 24 - 3

5x - 2x = 21

Simplify

3x = 21

Divide both sides by 3

3x / 3 = 21 / 3

x=7

Hope this helps!!

Please let me know if you have any questions

Answer:

Slope = 1/2

Step-by-step explanation:

Formula for getting slope using 2 points...

(y2 - y1) / (x2 - x1)

= (3 - 0) / (6 - 0)

= 3 / 6

= 1/2

So...

Slope is 1/2

Hope this helps :)

Let me know if there are any mistakes!!

Answer:  The slope is   1/2

Step-by-step explanation:

When a line passes through the origin the equation of the line will be represented in the form    y= kx   where k is the slope.

To to find k you will need to divide both sides by x.

y = kx

y/x = kx/x

  k = y/x  

This means that to find k, you will need to divide the y coordinate of the point by the x coordinate.  

  k = 3/6

K = 1/2

Answer:

The x-intercept is where the graph crosses the x-axis, so in this case, the x-intercepts are (-4, 0) and (-2, 0).

The y-intercept is where the graph crosses the y-axis, so in this case, the y-intercept is (0,8).

The  line of symmetry splits the  graph in two equal halves, and it is x=-3.

Finally, because this graph opens up, the graph is positive.

Let me know if this helps!

Answer:

Please provide a diagram as the question is confusing.

Answer:

[tex]J = 370g[/tex]

Step-by-step explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

[tex]J + S = 850g[/tex]

After 2/3 of sugar is removed we have:

[tex]J + S -\frac{2}{3}S= 530g[/tex]

Required

Determine the weight of the jar

[tex]J + S = 850g[/tex] --- (1)

[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)

Simplify (2)

[tex]J + S -\frac{2S}{3}= 530g[/tex]

Take LCM

[tex]J + \frac{3S - 2S}{3}= 530g[/tex]

[tex]J + \frac{S}{3}= 530g[/tex]

Make S the subject in (1)

[tex]J + S = 850g[/tex]

[tex]S = 850g - J[/tex]

Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]

[tex]J + \frac{850g - J}{3}= 530g[/tex]

Multiply through by 3

[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]

[tex]3J + 850g - J= 1590g[/tex]

Collect Like Terms

[tex]3J - J= 1590g-850g[/tex]

[tex]2J= 740g[/tex]

Make J the subject

[tex]J = \frac{1}{2} * 740g[/tex]

[tex]J = 370g[/tex]

The jar weighs 370g

Answer:

370

Step-by-step explanation:

Answer:  c

Step-by-step explanation:

Answer:

I believe this is the answer

V=5000(1•0.085)^x

Step-by-step explanation:

sorry if its incorrect i just wanted to help

"v = 5000 * (1-0.085)x" is the formula that is used to determine the car's worth.

An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement of this decline. Depreciation, or a decline in asset value, can be brought on by a variety of other variables, such as bad market conditions, etc.

Given, You bought a car for $5,000. Each year it depreciates in value by 8.5%

In this case, we have the following formula:

v = C. (1 - r)ˣ

Where C is the original value of the car, r is the depreciation rate and x is the time in years

Equation to find the value = 5000 * (1- 0.085)ˣ

Therefore, the equation that helps in calculating the value of the car is

"v  = 5000 * (1- 0.085)ˣ".

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Answer: James is equally likely to roll an even number as an odd number. this is the answer give me brainliest

Answer:

In order to be called a 'rational' number, a number must be the quotient that results when one non-zero integer is divided by another. An irrational number can be written as a decimal, but not as a fraction. Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed.

Answer:

x = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )

x² = 10 ( take the square root of both sides )

x = [tex]\sqrt{10}[/tex]

Answer:

√10

Step-by-step explanation:

taking the smallest triangle;

y as the hypotenuse, x as the adjacent side, 2 as the opposite side

then: y²=x²+2²

x²=y²-2²= y²-4

taking the other triangle;

z as the hypotenuse, x as the adjacent side, 5 as the opposite side

then: z²=x²+5²

x²=z²-5² = z²-25

take both equations,

x²= y²-4

x²= z²-25

y²-4= z²-25

y²= z²-25+4 = z²-21

taking the biggest triangle (whole triangle);

(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side

then; 7²=z²+y²

z²+y²=7² =49

but y²= z²-21;

z²+y² =49

z²+ z²-21 =49

2z²-21=49

2z²=49+21= 70

z²= 70/2 = 35

take x²= z²-25

x²= 35-25 = 10

[tex]x = \sqrt{10} [/tex]

Answer:

it is 10

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

g

Answer: Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Step-by-step explanation:

Answer:

A relation of two or more numbers

One input one output

there can be more then one input for the same output

just not more then one output for one input

Answer:

the answer for this problem would be 24 dollars.

Answer:

The percent increase is 30%

Step-by-step explanation:

First find the difference

6.50 - 5.00 = 1.50

Divide by the original cost

1.50 / 5.00

.3

Change to percent

.3 = 30%

The percent increase is 30%

Answer:

30%

Step-by-step explanation:

5.0*30%=1.50

5.0+1.50=6.50