Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies

Answers

Answer 1

Answer:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)

And the amount spent can be represented as:

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]

And

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

[tex]0.75c + 1.10h = 4.55[/tex]

Hence, the equations are:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Solving for c and h

Make c the subject in [tex]c + h = 5[/tex]

[tex]c = 5 - h[/tex]

Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]

[tex]0.75(5- h) + 1.10h = 4.55[/tex]

[tex]3.75- 0.75h + 1.10h = 4.55[/tex]

[tex]3.75 +0.35h = 4.55[/tex]

Collect Like Terms

[tex]0.35h = 4.55 - 3.75[/tex]

[tex]0.35h = 0.8[/tex]

Solve for h

[tex]h = 0.8/0.35[/tex]

[tex]h = 2.28571428571[/tex]

[tex]h =2[/tex] -- approximated

Recall that:

[tex]c = 5 - h[/tex]

[tex]c = 5 - 2[/tex]

[tex]c =3[/tex]


Related Questions

If Robin typed 15 characters in 5 seconds, 30 characters in 10 seconds, and
45 characters in 15 seconds, how many characters do you think she would
type in 20 seconds?

A. 50
B. 35
C. 90
D. 60

Answers

Answer:

robin would type D 60 characters in 20 seconds

If Jack worked 31.5 hrs each week,
a) how many hours would he have worked in an entire year?

Calculation :
Answer:

Answers

Answer:

11497.5

Step-by-step explanation:

31.5x365=11497.5

Answer:

1638 hours

Step-by-step explanation:

Help plzzzzzzzzzzzzzz ​

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Answer:

side HA and side AT

Step-by-step explanation:

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side.The third side is 7 meters more than the first side. What is the length of each side?

Answers

Answer:

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches

Step-by-step explanation:

Perimeter of triangle = 65 meters

Let

First side of triangle = x

Second side of triangle = x-5 (The second side is 5 meters less than the first side.)

Third side of triangle = x+7  (The third side is 7 meters more than the first side.)

We need to find length of each side.

The formula used is:

[tex]\mathbf{Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle}[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\65=x+x-5+x+7\\65=3x+2\\Switching\:sides\\3x+2=65\\Subtracting\:2\:from\:both\:sides\\3x+2-2=65-2\\3x=65-2\\3x=63\\Divide\:both\:sides\:by\:x\\\frac{3x}{3}=\frac{63}{3}\\x=21[/tex]

So, We get value of x = 21

Now, finding the length of each side of triangle:

First side of triangle = x = 21

Second side of triangle = x-5 =21-5 =16

Third side of triangle = x+7 = 21+ 7 = 28

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches

how do you find the slope, I really need help.

Answers

Answer:

-1/10

Step-by-step explanation:

its down 1 and right 10 so you know the slope is -1/10

(can I get brainliest please)

The answer is b. The rise is 1 and the run is 10

MATH HELP!!!! I HAVE POSTED THIS QUESTION AND NO ONE ANSWERS! 15 POINTS!!!

Answers

Answer:

A

Step-by-step explanation:

in order to find the answer take into mind what the question is asking for.

The equation has to pass the point (12,3) and has to be parallel to y=(4/3)x+5.

since the equations have to be parallel you can take out D since it has the reciprocal of the slope of the original equation.

You could also take out the negative equation C since the original one is not negative.

then you would have to graph the equations and would find that A is the answer because in order to have a point (12,3) you need to either start from the negative y-axis and ascend or from the positive axis and descend but B doesn't go down it goes up since it has a positive y value and has a positive slope. So in conclusion the answer would be A.

[tex]y = \frac{4 }{3} x - 13[/tex]

which expression represents f[g(x)] if f(x)=x^2 +3 and g(x)=-x+1?

Answers

(x+1)^2 + 3

you just put the value of g(x)in f(x)

1 2/5m - 3/5(2/3m+1)

Answers

Answer:

step by step

STEP

1

:

Equation at the end of step 1

((((3•(m3))+5m2)-5m)+1)

(———————————————————————•m)-1

3

STEP

2

:

Equation at the end of step

2

:

(((3m3+5m2)-5m)+1)

(——————————————————•m)-1

3

STEP

3

:

3m3 + 5m2 - 5m + 1

Simplify ——————————————————

3

Checking for a perfect cube :

3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 3m3 + 5m2 - 5m + 1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5m + 1

Group 2: 5m2 + 3m3

Pull out from each group separately :

Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)

Group 2: (3m + 5) • (m2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 8.00

-1 3 -0.33 3.11

1 1 1.00 4.00

1 3 0.33 0.00 3m - 1

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

3m3 + 5m2 - 5m + 1

can be divided with 3m - 1

Polynomial Long Division :

3.4 Polynomial Long Division

Dividing : 3m3 + 5m2 - 5m + 1

("Dividend")

By : 3m - 1 ("Divisor")

dividend 3m3 + 5m2 - 5m + 1

- divisor * m2 3m3 - m2

remainder 6m2 - 5m + 1

- divisor * 2m1 6m2 - 2m

remainder - 3m + 1

- divisor * -m0 - 3m + 1

remainder 0

Quotient : m2+2m-1 Remainder: 0

Trying to factor by splitting the middle term

3.5 Factoring m2+2m-1

The first term is, m2 its coefficient is 1 .

The middle term is, +2m its coefficient is 2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

(m2 + 2m - 1) • (3m - 1)

(———————————————————————— • m) - 1

3

STEP

4

:

Equation at the end of step 4

m • (m2 + 2m - 1) • (3m - 1)

———————————————————————————— - 1

3

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

1 1 • 3

1 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m • (m2+2m-1) • (3m-1) - (3) 3m4 + 5m3 - 5m2 + m - 3

———————————————————————————— = ———————————————————————

3 3

Polynomial Roots Calculator :

5.3 Find roots (zeroes) of : F(m) = 3m4 + 5m3 - 5m2 + m - 3

See theory in step 3.3

In this case, the Leading Coefficient is 3 and the Trailing Constant is -3.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -11.00

-1 3 -0.33 -4.04

-3 1 -3.00 57.00

1 1 1.00 1.00

1 3 0.33 -3.00

3 1 3.00 333.00

Polynomial Roots Calculator found no rational roots

Final result :

3m4 + 5m3 - 5m2 + m - 3

———————————————————————

3

Terms and topics

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m

Answers

Answer: 4

Step-by-step explanation: 4 was the biggest denominator in that equation. so if we multiply by 4 on all the terms, all the denominators will go away. we will not have any more fractions!

Determine whether the equation has no solution, one solution, or infinitely many solutions.
-2(11-12x)= -4( 1 -6x)

Answers

Answer: No solution
Because they are parallel lines

b) 5z - 1
when z = 6
2

Answers

Answer:

309

Step-by-step explanation:

5z-1, z=62

5(62)-1

310 - 1

309

You and your friend go to tacos Galore for lunch. You order 3 soft tacos and 4 burritos and your bill comes out to $18.00. Your friend's bill is $10.00 for two soft tacos and two burritos whats the cost of the soft tacos and the cost of a burrito

Answers

Answer:

Soft Tacos = 2

Burritos= 3

Step-by-step explanation:

You

3 x 2 = 6

18 - 6 = 12

12/4= 3

You spent 6$ on soft tacos and 12$ on burritos.

Your friend

2 x 2 = 4

10-4 = 6

6/2 = 3

Your friend spent 4$ on soft tacos and 6$ on burritos.

I hope I explained this well.

Зr - 7 = 11
What is the answer

Answers

Depends on what you’re looking for.

r=6

The temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer. It may reach a low of -225 degrees Fahrenheit at the poles. Which expression gives the difference between those temperatures?

Answers

Answer: See explanation

Step-by-step explanation:

Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.

The expression that gives the difference between those temperatures would then be calculated as:

= 70°F - (-225°F)

= 70°F + 225°F

= 295°F

Solve the Inequality
9w-4w+6≥1+5w

Answers

Answer: All real numbers :)

I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS

Answers

Answer:

That is igneous

Step-by-step explanation:

Paul joins a gym that has an initial membership fee of $75 and a monthly cost of $40. How much will they have paid after 4 months? *

Answers

$235 total. 75 + 40(4). then simplify. 75 + 160 = 235

please help ill give brainleist
What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?

Answers

Answer:

An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

[tex]y=-6x+7[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the equation

[tex]6x+y=6[/tex]

Writing in the slope-intercept form of the line equation

[tex]y = -6x + 6[/tex]

comparing with the slope-intercept form of the line equation

y = mx+b

Thus, the slope of line = m = -6

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line is also -6.

As the line passes through the point (2,−5).

Thus, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope and (x₁, x₂) is the point

substituting the values m = -6 and the point (2,−5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-5) = -6 (x - 2)[/tex]

[tex]y+5=-6\left(x-2\right)[/tex]

subtract 5 from both sides

[tex]y+5-5=-6\left(x-2\right)-5[/tex]

[tex]y=-6x+7[/tex]

Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

[tex]y=-6x+7[/tex]

Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2

Answers

Answer:

7

Step-by-step explanation:

5x4=20

20/2=10

17-10=7

Answer:

your answer is 7

Step-by-step explanation:

17-5×4÷2

P- parenthesis

E- Exponents

M- Multiplication

D- Divide

A- Add

S- Subtract

David roller skates 33 miles in 2
3/4 hours. What is his average speed in
miles per hour?

Answers

Answer:

12 miles per hour

Step-by-step explanation:

Find the missing length of the triangle.
C=_Km

Answers

U need to use the a^2+b^2=c^2. So 21^2+ 20^2=___. From there u square root your answer to find the length of the side.

Answer:

c = 29km

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841

[tex]\sqrt{841}[/tex] = 29

-5x+3y>9 help me plesese

Answers

Answer: x < 3/5 y + -9/5

Step-by-step explanation:

is provided below :)

What is the slope of a line perpendicular to the line whose equation is x+y=2

Answers

Answer:

x+y-2=0

Step-by-step explanation:

thats ur anwser you are welcome:)

Holly has $225 to spend at the shopping mall. She decides to buy sweaaters and pants with her money. Sweaters cost $45 each and pants cost $25 each. The equation 45s + 25p = 225 represents this situation.

If Holly buys 3 sweaters, what is the greatest number of pants she can buy?

Answers

Answer:

3 pairs of pants

Step-by-step explanation:

Plug 3 in for s. Your equation should now be 45(3) +25p=225

Then distribute 135+25p=225

Subtract 25p=90

Divide p=3.6

Since you cannot buy half of a pair of pants you need to round down to three

Answer all the questions for a bunch of points, no scam answers please

Answers

Step-by-step explanation:

hold up bro. this doesn't even say what u actualy have to do . or is just so blurry

help me plaese if u dont mind

Answers

Answer:

C)   −2.2y−1.8

Step-by-step explanation:

1.2y+4.5-3.4y-6.3=

Combine Like terms:

=−2.2y−1.8

Write the difference and simplest form (5n-3)-(-2n+7) 100 points

Answers

Answer:

7n - 10

5n - 3 + 2n - 7

(distribute the negative sign throughout the equation) (then just combine like terms)

8x___=0.24

please help me with this-

Answers

Answer:

0.03

Step-by-step explanation:

8x=0.24

x=0.03

is 3399 a rational number

Answers

yes it is yes yes yes yes it is

it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?

Answers

Answer:

4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

12÷3=4

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