Isaac owns a food truck that sells tacos and burritos. He only has enough supplies to make 130 tacos or burritos. He sells each taco for $4.25 and each burrito for $8.50. Isaac must sell a minimum of $850 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

By solving linear inequation, it can be calculated that

x = 60 , y = 70 is one possible solution.

What is linear inequation?

Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by <, >, ≤, ≥

A one degree inequation is known as linear inequation

Let the number of tacos sold be $x and the number of burrito sold be $y

He only has enough supplies to make 130 tacos or burritos.

x + y [tex]\leq[/tex] 130 ... (1)

He sells each taco for $4.25 and each burrito for $8.50.

Isaac must sell a minimum of $850 worth of tacos and burritos each day.

4.25x + 8.5y [tex]\geq[/tex] 850

x + 2y [tex]\geq[/tex] 200 ... (2)

The inequalities has been solved graphically

One possible solution is x = 60, y = 70

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Related Questions

Two rectangles are similar. The first rectangle has a length of 21 cm and a width of 14 cm. The width of the second rectangle is 20 cm. What is its length?

Answers

The length of the second rectangle is 30cm

When are two rectangles said to be similar?

Two rectangles are similar when the corresponding adjacent sides have the same ratio. We do not need to check the angles as all angles in a rectangle are 90 degrees.

all rectangles are not similar rectangles. The ratio of the corresponding adjacent sides may be different.

length the length and width of first rectangle be L1 and W1 and length and width of second rectangle be L2 and W2

then the ratio of length should be equal to ratio of width since both rectangles are similar

L1/L2 = W1/W2

L1 = 21cm, W1 = 14cm, W2 = 20cm

21/L2 = 14/20

cross multiply

14L2 = 420

L2 = 420/14

L2 = 30cm

In conclusion the length of second rectangle is 30cm

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Help me aspp please

Answers

Substitute the value of x in the equation.
If x is -1,
Y = 3x + 1, y = 3(-1) + 1, y = -3 + 1, y = -2.
If x is 0,
Y = 3(0) + 1, y = 0 + 1, y = 1.
If x is 1,
Y = 3(1) + 1, y = 3 + 1, y = 4.
(1, -2), (0, 1), (1, 4) respectively for x and y.

Given (x – 1)2 = 50, select the values of x.

Answers

Answer: x=26

Step-by-step explanation:

(x-1) = 50/2

x-1 = 25

x = 25 +1

x = 26

x-1 = root of 50
X - 1 = 7.07
X = 8.07.

4x+2=2x+7
What is the value of x?

Answers

Answer: x equals to 5 over 2

Step-by-step explanation:

Answer: the answer is x=2.5

Step-by-step explanation:

4x+2=2x+7

4x+2-2=2x+7-2

4x=2x+5

4x-2x=2x-2x+5

2x=5

2x/2=5/2

x=2.5

Find the measure of angle f given the information below. Please help!! (New Question )

Answers

This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees is 53 degrees

What is transversal?

A transversal is a line in geometry that connects two lines in the same plane at two different places. When determining whether two or more other lines in the Euclidean plane are parallel, transversals are important.

This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees) - a. Then, because g + f + e = 180 (since it is a straight line), substitute the values that we know and solve. (61) + f +(66) = 180. f = 53

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Need Help with geometry

Answers

Answer: 23

Step-by-step explanation: ML is in between JL. Line ML is 15 and KL is 8.

Since ML is in between we already know there is 15, and the space left is about the same size as line KL. so 15+8=23.

For the function f(x) = 5.92, calculate the following function values:
f(− 2) =
f(1/2)=
f(0) =

Answers

Answer:

55.92

Step-by-step explanation:

[tex]f(x)[/tex] doesn't depend on x.

What is y=5x-4 in standard form?

Answers

Answer:5x-y=4

Step-by-step explanation:

The standard form of a linear equation is

Ax+By=C

Move all terms containing variables to the left side of the equation.

5x-y=4

Answer: 5x-y=4

Step-by-step explanation:

The standard form equation is Ax+By=C

So y=5x-4

So first we have to add 4 both side

y+4=5x

then we subtract y from both side

4= 5x-y

If you can, please give me a Brainliest, thank you!

Substitute the values into the appropriate formula and solve for x.

Answers

Answer: Hi so its pretty straight forwad use the cosine formula as you have 2 sides and angle opposite of the x. Answer: 21.35

Step-by-step explanation:

Sara and Behzad are saving to make a down payment
on a house. With an initial deposit of $8,000, they have
opened an account that compounds interest at an
annual rate of 2.1%. Assuming that Sara and Behzad
make no additional deposits or withdrawals, which of
the following expressions gives the dollar value of the
account 4 years after the initial deposit?

Answers

The total value of the account after 4 years is; $8800.

What is simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

We have given Principal = P = $8,000

Rate = R = 2.1%

Amount = A

Time = 4 years

Simple Interest = (P x R x T) / 100

= (8000 x  2.1 x 4 ) / 100

= 800

Amount = Simple interest + Principal

A = 800 + 8000

A = 8800

Thus, The total value of the account after 4 years is; $8800.

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How much money will be in an account with an annual interest rate of 7.5% compounded annually, if $5300 was deposited 7 years ago? Be sure to write your answer as money.​

Answers

Answer:

Step-by-step explanation:

To find the amount of money in the account after 7 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the final amount in the account, P is the initial deposit (5300), r is the annual interest rate (7.5%), n is the number of times the interest is compounded per year (1, since the interest is compounded annually), and t is the number of years the money is invested (7).

Plugging these values into the formula, we get:

A = 5300(1 + 0.075/1)^(1*7)

= 5300(1.075)^7

= $7953.33

So, the amount of money in the account after 7 years would be $7953.33.

A=5300(1+0.075/1)^1•7

A=5300•1075^7

A=5300•1.659049

A=8792.96

*They will have $8792.96 in 7 years

Joey, Keith, and Eli have a combined height of 7 meters. If Joey is 1 2/5 meters tall and Eli is 2 7/10 meters tall, how tall is Keith?

Answers

Answer: 2 9/10 or 2.9 metres

Step-by-step explanation: Form an equation with the information given

1 2/5 + 2 7/10 +x =7

Let x represent the height of Keith

Change mixed fractions into improper fractions

1 2/5=7/5 as an improper fraction  we say 1*5+2=7 and put it over the denominator 5

2 7/10 =27/10 as an improper fraction we say  2*10+7 =27 and put it over the denominator 10

we now have the following:

7/5+27/10+x=7

We simplify these fractions by adding them up

7/5

7/5*2/2+27/10=14/10+27/10=41/10

41/10+x=7

To solve for x

take 41/10 from both sides

7-41/10

Making the denominators the same we get the following:

x=70/10-41/10=29/10=2 9/10

solve for x of the circle​

Answers

Check the picture below.

In a survey, 80 people were asked whether they prefer to vacation in the mountains or at the beach. Sixty-two people said they prefer beaches. What percent of the people prefer beaches?

Answers

Answer: 77.5% of people prefer beaches

Step-by-step explanation:

It's pretty easy to find the percent of people that prefer beaches.

First, find the total amount of people in the survey and you get 80.

Then, also find the amount of people that prefer beaches. 62.

Then you follow this equation:

(Total # of people who prefer beaches) divided by (Total # of people in survey)

= 62/80 = 0.775

After that, you multiply 0.775 x 100 and you get your percentage :D

0.775 x 100 = 77.5% or 77%

Hope this help ^_^

Answer:

77.5%

Step-by-step explanation:

Total number of people = 80

Number of people who prefer beaches = 62

% of people who like beaches = (62/80)x100% = 77.5%

J(2,-4), k(3,7), L(6,-1); x-axis

Answers

The reflection of the points J(2,-4), K(3,7),  and L(6,-1) is (2, 4), (3, -7) and  (6, 1) respectively.

What is reflection?

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

The given points are,

J(2,-4), K(3,7),  and L(6,-1)

The reflection of a point (x, y) over the x-axis (x, -y),

So the reflection of point J(2, -4) is M(2, 4)

Reflection of point (3, 7) is (3, -7)

And reflection of point (6, -1) is (6, 1)

The reflection of the points J(2,-4), K(3,7),  and L(6,-1) is (2, 4), (3, -7) and  (6, 1) respectively.

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Find a counterexample to how that the conjecture i fale. Conjecture: Any number that i diviible by 2 i alo diviible by 4

Answers

A number that is divisible by 2 is also divisible by 4. The counterexample of this conjecture should be a number that is divisible by 2 but not divisible by 4 .

What is Conjecture ?

A conjecture is a statement that is guessed by someone and it may or may not be true.

What is counterexample ?

A counterexample is an example that proves the conjecture to be false.

Let's go through the list of values and test the claim

Is 32 divisible by 2? Yes because 16*2 = 32. Is it also divisible by 4? Yes because 8*4 = 32. So we can cross choice A off the list

Is 12 divisible by 2? Yes because 6*2 = 12. Is it also divisible by 4? Yes because 3*4 = 12. So we can cross choice B off the list.

Is 40 divisible by 2? Yes because 2*20 = 40. Is it also divisible by 4? Yes because 4*10 = 40. Choice C is also crossed off the list.

Is 18 divisible by 2? Yes because 2*9 = 18. Is it also divisible by 4? No. We can see that by dividing 18/4 = 4.5 which is not a whole number result. Or you can list out the multiples of 4 which are 4, 8, 12, 16, 20 and we see that 18 is not on the list. This is a counter example to show that the claim "if number is divisible by 2, then it is also divisible by 4" is a false statement.

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What is pie to the second power

Answers

Answer:

9.869604...

Step-by-step explanation:

Pie to the second power, or pi squared, is the mathematical operation of multiplying pi (3.14159...) by itself. The result of this operation is equal to 9.869604...

In mathematical notation, pi squared is written as π^2, which is the same as saying "pi to the power of 2". This means that π^2 = π * π = 9.869604...

In general, raising a number to the second power means multiplying the number by itself. For example, 2^2 = 2 * 2 = 4, and 3^2 = 3 * 3 = 9. Similarly, pi squared is just the product of pi multiplied by itself.

pi is approximately 3.14159265359

pi^2 (pi to the second power) is approximately 9.86960440109

write an equation for the line that passes through point (0,4) and is parallel to the line with equation y = -5x + 3

Answers

The equation of a line which is parallel to line y = -5x + 3 and passes through points (0, 4) is 5x + y -4 = 0.

What is equation of line?

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given line of equation is,

y = -5x + 3

The slope of the given line m = -5.

The slope of the required line which is parallel to given line will be equal to -5.

To find the line of equation that passes through the point (0, 4),

Use formula y - y₁ = m(x - x₁)

The required equation of line having slope -5 and passes through points (0, 4) is,

y - 4 = -5(x - 0)

y - 4 = -5x

5x + y -4 = 0

The required equation of line is 5x + y -4 = 0.

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I need help please. It’s for a practice test

Answers

Answer:

  $13,000

Step-by-step explanation:

You want to know the class width when the class ranges are defined as ...

$35,000–$47,999$48,000–$60,999$61,000–$73,999

Class width

The class width is the difference between adjacent corresponding boundaries. These are the differences of the low boundaries.

  $48,000 -$35,000 = $13,000

  $61,000 -$48,000 = $13,000

The class width is $13,000.

__

Additional comment

Often, the class boundaries are defined to be values that cannot be part of the data set. If data is rounded to the nearest dollar, the boundaries might be defined as $34,999.50 and 47,999.50, for example. That way, it is clear that both of the values $35,000 and $47,999 will fall into the first class.

The way the classes are defined here, we have to assume that both $35,000 and $47,999 will fall into the first class. However you define the classes, the class for any given data value should never be ambiguous.

The problem with gaps, such as the gap between 47,999 and 48,000, is that you don't know how to assign an "in-between" value to a class. We have to assume here that the ambiguity is resolved by not allowing any data values in that gap.

For your test, you'll want to know how your curriculum defines class width, data or class range, and class boundary, and the procedure recommended for determining class boundaries.

A boat take 4 hour to travel uptream 30 mile. On the return trip downtream it took 2 hour. What i the peed of the boat if it were in till water? What i the peed of the current?

Answers

The speed of the boat if it were in still water is 11.25 miles per hour and the speed of the current is 3.75 miles per hour.

According to the question,

We have the following information:

A boat take 4 hour to travel upstream 30 miles. On the return trip downstream it took 2 hours.

Now, let's take the speed of the boat in still water to be s miles per hour and the speed of the current to be c miles per hour.

Upstream speed = speed in still water - speed of current

Downstream speed = speed in still water + speed of current

Upstream:

s-c = 30/4

s-c = 7.5

s = 7.5+c ...(1)

Downstream:

s+c = 30/2

s+c = 15

Putting the value of s from equation 1:

7.5+c+c = 15

7.5+2c = 15

2c = 15-7.5

2c = 7.5

c = 7.5/2

c = 3.75 miles per hour

Putting this value in equation 1:

s = 7.5+c

s = 7.5+3.75

s = 11.25 miles per hour

Hence, the speed of the boat if it were in still water is 11.25 miles per hour and the speed of the current is 3.75 miles per hour.

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Rationalize 1 / √5 - √2 and subtract is from √5 - √2




thank s

Answers

Answer:

1/√5-√2 = −√2+√5 (-0.967)

√5-√2 = −√2+√5 (0.821854)

Subtract the answers as the decimal and/or the equation:

-0.967-0.821854 = -1.518854

As equation:

−√2+1/5√5 - √2+√5 = −2√2 + −4/5√5 (Decimal: -4.617282)

a line passes through the point (-9,-8) and is parallel to the line with equation y=5x-7. what is the slope of this line?

Answers

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

question above please help​

Answers

Answer27.1

Step-by-step explanation: c=a^2+b^2 =4.1^2+23^2=27.1

Answer:

4.45

Step-by-step explanation:

the above question it is solve by cos that means cos=adjacent/hypotneus cos(23)=4.1/X then it become X=4.1/cos(23)X=4.45

which function is represented on the graph

Answers

Answer: was there supposed to be a picture attached to this question ?

Step-by-step explanation:

Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true. NEED ANSWER ASAP!!!

S:{11}
S:{14}
S:{30}
S:{42}

Answers

Answer:

The answer is n < 14.

Step-by-step explanation:

First, we need to distribute 6, then 3 through the parentheses.

6n - 30 < 3(n + 4)

6n - 30 < 3n + 12

We now need to move the variable to the left-hand side and change its sign.

6n - 30 - 3n < 12

Next, we have to move the constant to the right-hand side and change its sign.

6n - 3n < 12 + 30

Now we need to collect like terms.

3n < 12 + 30

Then, we need to add the numbers.

3n < 42

Last but not least, we need to divide both sides of the inequality by 3. This gets us to:

n < 14

if a clock's second hand is one inch long, how many miles, to the nearest mile, does the second hand on the clock above travel in 7 days?

Answers

The hand will cover a distance of 1055.04  inches in 7 days.

To establish the distance covered by the  hand's point would go in a week, we would first need to determine the radius of the clock's circle, for which the hand serves as a proxy .

To accomplish this, we would utilize the equation 2(pi*radius),

where pi equals 3.14.

The solution to p=2(3.14*1 ) is 6.28  inches.

This indicates that the hand's point moves 6.28inch every 1 hours.

To determine how far the hand moves in a 168 hour, we would multiply 6.28 inch by 168.

As a result, we arrive at the final calculation of 168 inches covered in 7 days as 1055.04 inches.

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Mabel pend 4 hour to edit a 3-minute long video. She edit a contant rate. How long doe Mabel pend to edit a 15-minute long video?

Answers

We know that it would take Mabel 20 minutes to edit a 15-minute-long video by solving simple mathematical operations.

What are mathematical operations?

An operation, in maths, is a mathematical function that converts zero or more input values into a precisely defined output value.

The arity of the operation is decided by the number of arithmetic operations.

Most people seem to agree that addition, subtraction, multiplication, and division are the four basic mathematical processes.

So, what time it will take Mabel to dit a 15-minute long video:

Time to edit 15 min videos = New video * Total time taken/Length of added video

Time to edit 15 min videos = 15 * 4/3

Time to edit 15 min videos = 5 * 4

Time to edit 15 min videos = 20

Therefore, we know that it would take Mabel 20 minutes to edit a 15-minute-long video by solving simple mathematical operations.

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this graph shows a proportional relationship containing the point (3,6) and (4,8)

What is the constant of proportionality ?

Answers

The constant of proportionality is 2.

What are direct and indirect variations ?

One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.

When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.

A proportional relationship is described by ...

y = kx

The value of k can be found by dividing by x:

k = y/x

For the given non-zero point (3,6), the value of k is found to be ...

k = 6/3 = 2

 k = 2

The constant of proportionality is 2.

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M% of p% of n? Help Pls

Answers

Answer:

mnp / 1000

Step-by-step explanation:

m%       of  p%     of  n

m/100    ·   p/100   ·   n

mnp / 1000

Answer:

mpn/10000

Step-by-step explanation:

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

hats and mittens are on sale at the store

Answers

On solving the question, we got that - one hat costs $2, while a pair of mittens costs $5.

What is equation?

A mathematical equation is a statement that contains two algebraic expressions on each side of the equal sign (=). Both of the expressions—the one on the left and the one on the right—are shown as being equal. LHS = RHS is shown.

The shop has hats and mittens on sale!

For $30, one woman was able to get four pairs of mittens and five hats.

For $19, another woman bought two hats and three pairs of mittens.

x is the cost of one hat.

One pair of mittens costs y dollars.

We must locate x and y.

One woman spent $30 to purchase 4 pairs of mittens and 5 hats.

One hat costs x dollars.

The cost of a single pair of mittens is y.

- Divide four pairs of mittens by y, multiply five hats by x, and equal

30 times their total

[tex]5x + 4y = 30 ........................ (1)[/tex]

For $19, another woman bought two hats and three pairs of mittens.

- Divide three pairs of mittens by y, multiply two hats by x, and equate

multiplied by 19

[tex]2x + 3y = 19 ............................ (2)[/tex]

Now,

[tex]-10x - 8y = -60 ................(3)\\10x + 15y = 95 .......... (4)\\Add equations (3) and (4)\\ 7y = 35\\Divide both sides by 7\\ y = 5\\Substitute the value of y in equation (1) or (2) to find x\\ 2x + 3(5) = 19\\ 2x + 15 = 19\\ Subtract 15 from both sides\\ 2x = 4\\ Divide both sides by 2\\x=2\\[/tex]

One hat costs $2, while a pair of mittens costs $5.

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The correct question -

Hats and mittens are on sale at the store! One woman was able to buy 5 hats and 4 pairs of mittens for $30. Another woman purchased 3 pairs of mittens and 2 hats for $19. Find the price of one hat (x) and one pair of mittens (y).​

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