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.

Answers

Answer 1

Step-by-step explanation:

3d + 5p=9.50

2d + 5p=8

1 hot dog cost $1.50

2 × 1.50 + 5p = 8

3 + 5p = 8

5p = 8 - 3

5p = 5

p = 1

1 bag of potato chips cost $1.00


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Ken placed a 6. feet ladder against a wall , creating the triangle shown in the figure below at what height on the wall does the top of the ladder reach

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Answer:  c

Step-by-step explanation:

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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.

Find the value for M.​

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it is 10

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g

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g

In the right triangle ABC, CD is an altitude, and c=e+f,by combining three equations it can be shown that a^2+b^2=c^2.One of the equations is c=e+f.which of the following could be the other two equations

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Answer:

Please provide a diagram as the question is confusing.

Find the length of WV

Answers

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:

please help!!!!!!!! it’s due in an hour!!!!!!!

Answers

Using (b/2)^2 to create the order, the answer is : 6r^2 -17r + (577/24)

PLS HELP ASAP rob is saving money for a new mp3 player. For every $15 he saves $8. On Sunday he earns $45 how much does he save

Answers

Answer:

the answer for this problem would be 24 dollars.

Will give Brainliest!!!
What is the y=mx+b for the equation x−y=−8?

Answers

first add y on both sides to get x = y-8, then add 8 on both sides to get x + 8 = y. thats really all you can do because you don't have the slope, so it ends up being y = mx+8

5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.

Answers

Answer:

1.366km

Step-by-step explanation:

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

Right angle triangle:

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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James rolling A 1-6 Number cube. Which statement is true ? James is equally likely to roll a 4 as an even number. True or false? James is equally likely to roll a 3 as an odd number? True or false? James is more likely to roll a 5 than 2 . True or false? James is equally likely to roll an even number as an odd number.? True or false?

Answers

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

I need help bad I'm hella confused!

Answers

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

Find the perimeter of a
square that has a side
length of x +5.
x + 20
2x + 10
4 + 20
PLEASE HELP MEE FAST

Answers

It should be 4(x+5) which gives 4x+20
4x+20 is the answer

PLEASE HELP!!!!! Find the magnitude and direction of the vector <2,7>. Round angles to the nearest degree and other values to the nearest tenth.


7.3; 73°

7.3; 74°

7.4; 73°

7.4; 74

Answers

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°.

For more information:

https://brainly.com/question/14942332

solve for x 5x + 3 - 2x = 24 (also don't have the answer be a fraction)

Answers

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

A group of 15 people each bought both a book that cost x dollars and a bookmark that cost $1. A group of 3 people each bought both a book that cost x dollars and a backpack that cost $36. Both groups spent the same amount of money. What is the price of the book?

Answers

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.

In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation
of the actual price of a cast-iron pan to the expected price?
a The actual price is 11.1% lower than the expected price.
b The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price.
d. The actual price is 12.5% higher than the expected price.
с.

Answers

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%

What is the consumer price index?

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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A line passes through the points (-4,-1) and (4,3) a second line passes through the points (-2,-2) and (2,6) at what point do the two lines intersect

Answers

Answer:10

Step-by-step explanation:


A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?

Answers

Answer: Area=18324 square feet

Explanation: We need to find the area of the field using the side angle side method, which uses the equation (ab*sin C)/2.
Thus, we have (120*325*sin 70)/2=18324 square feet.

Farmer need 750.5 feet fencing for his triangular field.

What is triangle?

"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.

Learn more about triangle here

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How can you tell that the following number is a rational number?

0.251

A. It is a rational number because the decimal terminates
B. It is a rational number because there is a value of 0 in the ones place
C. It is a rational number because the sum of the digits is less than 10
D. It is a rational number because it is not a repeating decimal

Answers

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.

Pretty Please answer this!
Analyze the following image and state
Line of Symmetry
Coordinates of the Vertex, X - intercepts, Y - Intercepts.
Whether the graph is positive or negative.

Answers

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!

what's a function????

Answers

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

I need the answer key for mid chapter check point grade 5 chap 7!! ASAP

Answers

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.

What is the slope of a line that passes through the origin and the point (6, 3)

Answers

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

solve for x? please help​

Answers

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]

Evaluate the following:

Answers

It is the same as 7-4
7-4=3

A jar contains sugar. The jar and the sugar have a total weight of 850 g. Anna uses 2/3 of the sugar. The jar and the sugar now have a total weight of 530 g. Work out the weight of the jar.

Answers

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:

A coat was originally priced at $80. It went on sale for $70.40. What was the percent that the coat was discounted?​

Answers

Answer:

12%

Step-by-step explanation:

(80 - 70.40)/80 * 100 = 12

Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?

Answers

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

You bought a car for $5,000. Each year it depreciates in value by 8.5% which equation can be use to find the value, v, of the car x years after it was purchased?

Answers

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.

What is depreciation?

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".

Learn more about depreciation here:

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A fraction is written in simplest form when the GCF of the
numerator and the denominator is

Answers

Answer:

simplified

Step-by-step explanation:

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

Step-by-step explanation:

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