Ben and Mack stopped at a restaurant to eat. Ben purchased 2 hot dogs and 2 drinks for $4.75. Mack purchased 3 hot dogs and 1 drink for
$7.75. Which system of equations can be used to determine the price of each hot dog, x, and each drink, y?
A. 2x + 2y = 4.75
3x + y = 7.75
OB. 2x + 2y = 7.75
3x + y = 4.75
OC. X + 2y = 7.75
2x + 3y = 4.75
D. x + 2y = 4.75
2x + 3y = 7.75

Answer:

A=6 cm, D=4.5cm and E=80 cm

Step-by-step explanation:

Answer:

P = 5M + 10

Step-by-step explanation:

15 pages/month * M months + 10 pages = P pages

5 Months = 5*15 + 10 = 85 pages

Answer:

- 3p + 10

Step-by-step explanation:

- p + 2 - 2p + 8 ← collect like terms

= (- p - 2p) + (2 + 8)

= - 3p + 10

Answer:

1.7 (units).

Step-by-step explanation:

1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:

[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex]     , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;

2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:

[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]

Answer:

8n² - 5

Step-by-step explanation:

n = 'a number'

The expression is  8x² - 5.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.

Given:

The product of eight and a number squared decreased by 5

let the number be x.

product of eight and a number squared

= 8x²

and decreased by 5

= 8x² - 5

hence, the expression is  8x² - 5.

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Answer:

28.1 units

Step-by-step explanation:

Area of circle= πr², where r is the radius.

Given that the area is 20π,

20π= πr²

Divide both sides by π:

20= r²

Square root both sides:

[tex]r = \sqrt{20} [/tex]

[tex]r = \sqrt{4(5)} [/tex]

[tex]r = ( \sqrt{4} )( \sqrt{5} )[/tex]

[tex]r = 2 \sqrt{5} [/tex]

Circumference of circle= 2πr

Substitute the value of r:

Circumference of the circle

[tex] = 2(\pi)( 2\sqrt{5} )[/tex]

[tex] = 4\pi \sqrt{5} [/tex]

= 28.1 units (3 s.f.)

Answer:

Have a splendiferous day!

Hope this helps!

Step-by-step explanation:

Shopping at the grocery store

Rough calculations of math

Figuring out time it would take to reach a location

Making nearly accurate measurements

Trying to stay within a budget

Solving extremely complicated numbers

Dealing with decimals

For quick calculations in a business

To prepare ahead, e.g an overestimate

and so on.

You are correct in thinking that the columns of the first matrix must match with the rows of the second matrix.

So for example, we can multiply a 1 x 5 matrix with a 5 x 7 matrix. The two matching '5's are directly what make multiplication possible in this case. For your problem, the first two '3's match and multiplication is possible.

The rows of the first matrix don't need to match with the columns of the second matrix.

Answer:

0.609375 or 39/64

decimal ------- fraction

Step-by-step explanation:

Answer:

849000

Step-by-step explanation:

I used a site called Rounding to the Nearest Thousand Calculator. Sorry Brainly doesn't allow links:))) Happy Halloween!!

Answer:

Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).

Let SP = x

Since the question says that Profit is 25% of the selling price, we have:

Profit = 25% SP = 0.25x

Now, we already know that:

Profit = SP - Cost

This part is the catch. To find out how much Item X originally cost,

Cost = SP - Profit = x - 0.25x = 0.75x

Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:

= (Profit/Cost)*100

= (0.25x/0.75x)*100

= 33%

And there you have it. Hope I explained it clear enough.

Answer:

Step-by-step explanation:

Cost price = CP = ₹ 25,000

Profit% = 25%

Selling price = SP

[tex]SP =\dfrac{100+profit}{100}*CP\\\\\\=\dfrac{100+25}{100}*25000\\\\=\dfrac{125}{100}*25000[/tex]

= 125 * 250

= ₹31250

Answer:

a)

2 sections

b)

9 sections

Step-by-step explanation:

a) there are total 8 boxes

so, for fraction 1/4

1/4 × 2/2 = 2/8

therefore shade 2 sections.

b) there are total 15 sections so to shade 3/5 of this shape

3/5×3/3 = 9/15

therefore , shade 9 sections.

hope this answer helps you dear...take care!

Answer:

7x^3-5x+11

Step-by-step explanation:

(3x^3-2x+5)-(-4x^3+3x-6)

Distribute

3x^3-2x+5+4x^3-3x+6

Simplify

7x^3-5x+11

Answer:

no he is not correct.

the correct expanded form: 100+60+5+0.0+0.30+0.008

Step-by-step explanation:

Hope this helps also i learned about this r u in 5th grade

Alex's expanded form for the number 165.038 is not correct. The correct expanded form for the number 165.038 is 100 + 60 + 5 + 0.03 + 0.008.

The number 165.038 can be broken down into its individual place values:

Hundreds: 100

Tens: 60 (6 tens)

Ones: 5

Tenths: 0.03 (3 hundredths)

Hundredths: 0.008 (8 thousandths)

So, the correct expanded form for the number 165.038 is:

100 + 60 + 5 + 0.03 + 0.008

Hence, Alex's expanded form for the number 165.038 is incorrect. The correct expanded form is: 100 + 60 + 5 + 0.03 + 0.008.

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2(2/5) divided 2(-1/5)

we do PEMDAS meaning parenthesis first

2(2/5) = 4/5(calculator)

or

2/1x2/5=4/5

now

2/1x-1/5=-2/5

now we do division

4/5/-2/5 we get -2

-2

Step-by-step explanation:

8) x=23sin(48) =17.1m

9) x=11cos42=8.2ft

Answer:

see explanation

Step-by-step explanation:

xyz + 1 ← has 2 terms

xyz is one term and the other is the constant term + 1

Answer:

$0

Step-by-step explanation:

      The chance of winning money is 2/6 -> 1/3, and sense 2/3 is larger than 1/3, we can conclude the expected value of a single roll is $0.

(I may be doing this problem wrong as I don't have context for what you're currently working on, but I hope this helps. Have a nice day!)

Answer:

1 dollar

Step-by-step explanation:

Because if u roll a six it gives you six dollars so how many rolls you roll you get that amount of money. :)

I hope im right :D

No matter what number you substitute for the variable, the simplification will result is a false statement.

Answer:

24 cars

Step-by-step explanation:

out of 80 toys, 3/5 are buses- 80 * 3/5 is 48 so there are 48 buses

80 - 48 is 32, 32 of the rest of the toys are cars and bikes

we know that there are 3 times as many cars than bikes, so to find out how many cars and bikes there we can do 3n + n, where n is the number of bikes it also equals 4n

32 = 4n; n = 8

there are 8 bikes, so there are 24 cars

Answer:

Step-by-step explanation:

Part one

1 mile per hour = 1.60 kilometers per hour

30 miles per hour = ?

Step 1: Set up a fraction.

The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.

Step 2: Solve

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

1.60 × 30 = 48

1 × k = 1

Therefore, the rate is 48 kilometers per hour.

Part 2

This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.

Step 1: Multiply the result to 5.

48 × 5 = 240

Therefore, the cyclist will travel 240 kilometers in 5 hours.

Step-by-step explanation:

First, to make everything more clear, rewrite it like this-

1 mile = 1.6km

So we have to multiply 30 (miles) by 1.6 (km)

30 x 1.6 + 48

So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.

We have to multiply 48 by 5 which equals 240

So the answer is 240km

Area = length x width

When you multiply fractions, multiply top number by top number and bottom number by bottom number:

9/10 x 2/3 = (9 x 2) / (10 x 3) = 18/30 this can be reduced by dividing both numbers by 6:

18/30 reduces to 3/5

Answer: 3/5 square feet

Answer:

30* or A

Step-by-step explanation:

If the triangles are congruent, corresponding angles and sides are equal.

So angle c is 60* because it is opposite of side x.

angle b is 180-90-60 because all angles add up to 180 in a triangle.

Answer:

Width = 125 m

Length = 375 m.

Step-by-step explanation:

If the width = w then length l = 3w.

Perimeter = 2(w + l)

= 2(w + 3w)

2(w + 3w) = 1000

2 * 4w = 1000

w = 1000/8 = 125m

l = 3*125 = 375.

Step-by-step explanation:

width = x

length= 3x

perimeter of triangle =2( l + b)

1000 = 2( 3x + x )

1000÷ 2 = 4x

500=4x

x= 500÷ 4 = 125

width = 125

length = 125×3= 375

recheck by filling value

width= x = 125

length = 3x =375

perimeter = 2( l+ b)

= 2(375 + 125)

= 2× 500 = 1000

hence proved

hope it helps : )

Answer:

You technically can't do anything with it since it the algebraic expression doesn't factor.

Step-by-step explanation:

50.2 should be the anwser i doubled checked with search

and it says it is correct so it should be good.

Step-by-step explanation:

math

Answer:

D

Step-by-step explanation:

Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.

Bc math is 5 when writing is 3 and the reading is at 1 so math is better

Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections. Therefore, option D is the correct answer.

Given that, the two-way frequency table shows the number of students in a class whose top scores on a standardized test were on the reading, writing, and mathematics sections.

A frequency table lists a set of values and how often each one appears. Frequency is the number of times a specific data value occurs in your dataset. These tables help you understand which data values are common and which are rare.

By interpreting the given data table we get

Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.

Therefore, option D is the correct answer.

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Answer:

B is the answer

Step-by-step explanation:

Answer:

y = 0.6x

Step-by-step explanation:

Look what happens as we move from point (4, 2) to point (8, 4).  The x coordinate increases by 4 and the y coordinate by 2.  Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.

The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).

Answer: 0.6

2/3

3/4

I took the test and got those as my answer. Btw here's the image for proof :)