Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25. He bought 3 times as many hotdogs as drinks. Graphically solve a system of equations in order to determine the number of hotdogs, x,x, and the number of drinks, y,y, that Kevin bought.

Answers

Answer 1

Answer:

6 hot dogs, 2 drinks

Step-by-step explanation:

let y = number of hot dogs

let x = number of drinks

system:

y = 3x

4.5y + 2.25x = 31.50   (standard form:  y = -1/2x + 7)

if you graph the system, lines intersect at (2, 6)

Answer 2

Answer:

y=1/3 x

y=-2x+14

(6,2)

6 hotdogs  and 2 drinks

Step-by-step explanation:

:)


Related Questions

Can somebody help me pls

Answers

the answer can vary between x=−1 or x=2 or x=−3 or x=3

explanation:

x4−x3−11x2+9x+18=0

Step 1: Factor left side of equation.

(x+1)(x−2)(x+3)(x−3)=0

Step 2: Set factors equal to 0.

x+1=0 or x−2=0 or x+3=0 or x−3=0

x=−1 or x=2 or x=−3 or x=3

Combine the like terms to create an equivalent expression.
5 + 3t +4-t

Answers

Answer:

2t + 9

Step-by-step explanation:

5 and 4 are like terms. 3t and -t are like terms

= 2t + 9

or 9 + 2t

Answer:

2t + 9

Step-by-step explanation:

5 + 4 = 9

3t - 1t = 2t

Find the distance across the bridge

Answers

Answer:

32.5 ft

Step-by-step explanation:

Answer:160

Step-by-step explanation:

I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge

Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closet to the mean of this distribution?

A. 5
B. 4
C. 2
D. 10
E. 3

Answers

Answer:

C)  2

Mean of the given distribution = 2

Step-by-step explanation:

Explanation:-

Given data from histogram

1 , 4, 5 ,4 ,2, 1, 1 , 1, 1,0

Mean of given data

                             = ∑x / n

Given  n = 10

[tex]Mean = \frac{1+4+5+4+2+1+1+1+1+0}{10} = \frac{20}{10} =2[/tex]

Mean of the given distribution = 2

Answer:

Its actually 4

Step-by-step explanation:

A p e x

How many different ways can 5 events be ordered?

Answers

Answer:120 ways

Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.

Step-by-step explanation: LET ME BE!

The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?

Answers

Answer:

How many students can fit in a bus? 34

Answer:

You can fit 34 students on a bus

Step-by-step explanation:

Hope this helps...

The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75

Answers

Answer:

5.15 hope this help!!!

Step-by-step explanation:

give this brainlieast so other people can know its not 20.60

Bob needs to read 3 novels each month. Let N be the number of novels Bob needs to read in M months, Write an equation relating N to M. Then use this equation to find the number of novels Bob needs to read in 17 months.​

Answers

Answer:

Equation: n=3m; Bob needs to read 51 novels over 17 months.

Step-by-step explanation:

Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51

5(g + 17) = (Simplify your answer.)​

Answers

Answer:

5g+85 is the answer

Step-by-step explanation:

i hoped it helped

Transfer into algebraic symbols: 11 less than the square of a number. Use x to represent the number.

Answers

Answer:

[tex]11-x^2[/tex]

Step-by-step explanation:

"11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².

What is inequality?

An inequality compares two numbers or expressions. For example, we can write -

2x + 3 > 5

2x + 9 < 1

Given is the mathematical statement as -

" the square of a number is greater than 11"

We can write the mathematical statement as an algebraic inequality as follows. Let the number be {x}. We can write -

11 < x²

Therefore, "11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².

To solve more questions on inequalities, visit the link below

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The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?

Answers

Answer:

3

Step-by-step explanation:

system of equations:

[tex]a+b=4[/tex]

[tex]a^3+b^3=28[/tex]

[tex]a=4-b[/tex]

plug in for a in other equation and solve

[tex](4-b)^3+b^3=28[/tex]

[tex]64-48b+12b^2-b^3+b^3=28[/tex]

[tex]64-48b+12b^2=28[/tex]

[tex]0=36-48b+12b^2[/tex]

[tex]0=3-4b+b^2[/tex]

[tex]0=(b-3)(b-1)[/tex]

[tex]b = 3[/tex]

or

[tex]b=1[/tex]

plug into other equation to get a

[tex]a=4-b=4-3=1[/tex]

or

[tex]a=4-b=4-1=3[/tex]

multiply together

[tex]1*3=3[/tex]

Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?

Answers

Answer:

the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line

Answer:

THE LINE WOULD MOVE UP 5 UNITS

Step-by-step explanation:

What’s is the value of the expression 7+[8-(1+9)]

Answers

Answer:

5

Step-by-step explanation:

7+(8-(1+9))

7+(8-10)

7+(-2)

7-2

5

Help me pleaseeee (10 points )

Answers

Answer
It would be 14
Explanation
Bababoey is fhe explantion
the answer would be 14. hope this helps

which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.

Answers

Answer:

Option (A) and Option (B)

Step-by-step explanation:

Trinomial is a polynomial having three terms.

Option A

[tex]\frac{5}{7}y^3+5y^2+y[/tex]

Number of terms = 3

So it's a trinomial.

Option (B)

x⁴ + x² + 1

Number of terms = 3

It's a trinomial.

Option C

6x² + 0.5y²

Number of terms = 2

It's a binomial.

Option D

x² + 3

Number of terms = 2

It's a binomial.

Option E

x¹¹

Number of terms = 1

Monomial

Option F

8x

Monomial.

Therefore, Option (A) and Option (B) are the correct options.

Please helpppp me. Will give Brainlyist

Answers

SOH CAH TOA.
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent

Using partial quotients, which would be the best choice for the first number to subtract in the division problem 858 +26?

Answers

Answer:

780

Step-by-step explanation:

We want to use partial quotients in the division problem 858 ÷ 26.

In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.

In this case, the dividend is 858 and the divisor is 26.

Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.

Therefore, the best choice for first number to subtract is 780

Answer: 780

Step-by-step explanation:

The best choice for the division problem will be 780.

Which of the following are geometric sequences?
Check all that apply.

Answers

Answer:

c , I think :))))))))))))

Answer: C

Step by Step Explanation:

Can not give, sorry

Factor using grouping: x³+ 3x² + 5x = 15

Answers

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

Elizabeth drove 2 fifths of a mile in 30 seconds. What is Elizabeth’s speed

Answers

Answer:

0.8 miles in a minute, which would be 40 miles a hour.

Step-by-step explanation:

2/5 = 0.4

0.4 times 2 = 0.8

30 seconds times 2 = 60 seconds or 1 minute

60 times 0.8 = 40

60 times 1 minute = 60 minutes or 1 hour

40 miles in an hour or known as 40 miles a hour.

what is 7/9 of 1 1/14​

Answers

Answer:

1.5555556

1 5/9

14/9

Step-by-step explanation:

Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£

Richard:
£

Nick:
£

Answers

Answer:

dan 14 Richard 42 nick 14

5.401 \times 10^{-1} = {?}5.401×10 −1 =?

Answers

Answer:

2.005 x 10^2

Step-by-step explanation:

A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?

Answers

Answer:

18

Step-by-step explanation:

Please give brainliest!

Answer:

18

Step-by-step explanation:

lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets

Answers

Lucy has $16. Trey has $21. Reuben has $63

A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.

Answers

60 calories

hope this helps :)

Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate

Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.

Thus total calories from given diet is = 4×4+4×3+9×3

                                                             =16+12+27

                                                            =56

Hence, Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

Learn more about the unitary method here:

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help me pls ill mark brainly

Answers

Answer:

First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.

Second step: I think it would be 0.08 x 25.

Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.

Fourth step: Friendly percent is 10%. It is always even.

Hope this helps!

HELP PLS
analyze the diagram above and complete the instructions that follow.

Answers

Answer:

D

Step-by-step explanation:

answer is on the photo

What's the x that will make the fraction greater than or equal to 75%

Please show the thought process to get to x=16

1/5 = 20%

x-4/x >= 75% (x => 16. 12/16 = 75%)

Thanks,

Merry Christmas

Answers

9514 1404 393

Answer:

  x ≥ 16  or  x < 0

Step-by-step explanation:

You want ...

  (x -4)/x ≥ 3/4

  4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)

  4x -16 ≥ 3x

  x ≥ 16 . . . . . . . . . . add 16-3x

__

For x < 0, multiplying by 4x gives ...

 4(x -4) ≤ 3x

  4x -16 ≤ 3x

  x ≤ 16 . . . . . and x < 0

__

There are two sets of solutions:

  x < 0  or  x ≥ 16

please help me and my sister! Were a bit stuck!

Answers

Ok...

what exactly do you need help with?

Answer:

help with what lol

Step-by-step explanation:

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