Julia and her children went into a restaurant where they sell hamburgers for $7 each and tacos for $2.50 each. Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether. If xx represents the number of hamburgers purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

115.50

Step-by-step explanation:

you times and divide the numbersto get to yy

Answer 2

The one possible solution can be yy = 10 and xx = 5 .

What is inequality?

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.

According to the question

Julia and her children went into a restaurant where ,

hamburgers (xx)= $7 each

tacos (yy) = $2.50 each.

Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.

i.e,    xx + yy ≥ 14  ----------------------------(1)

       7xx + 2.5yy ≤ 60 ----------------------(2)

from equation (1) and (2)  graph attached ...

solving both equation

multiplying equation (1) with -7

-7xx + -7yy ≤ -98 ----------------(3)

now adding equation (3) and (2)

-7xx + -7yy ≤ -98

7xx + 2.5yy ≤ 60

=   - 4.5yy ≤ -38

=    4.5yy ≥38

=     yy ≥ 8.4

now ,

yy        xx

9         5.35

10         5

11          4.64

Hence, one possible solution can be yy = 10 and xx = 5

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Related Questions

ted collected 22 pounds of aluminum cans, how many ounces of aluminum cans did he collect?

Answers

Answer:

352 oz

Step-by-step explanation:

1 lb = 16 oz

22 * 16 = 352

Which of the following is a simpler way to write startfraction cosine theta over sine theta endfraction? tan theta sec theta csc theta cot theta

Answers

The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.

We have the expression:

[tex]\rm \frac{cos \theta}{sin \theta}[/tex]

we know that

[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]

also,

[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]

So, By using these trigonometry formulas, we get:

 [tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]

Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex]  is cot [tex]\theta[/tex].

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Answer:

D. cot 0

Step-by-step explanation:

Valeria's living room is 9 meters wide and 10 meters long. She wants to install green carpet that costs $5.00 per square meter. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$450

Step-by-step explanation:

cost = area × price per square meter

cost = LW × $5/m²

cost = 90 m² × $5/m²

cost = $450

Answer:

$450

Step-by-step explanation:

9x10=90 meters

90x5=$450

Please answer My Question.

Answers

Answer:

how many brothers do you have?

3 + 90 ÷ 10=
Please answer this quistion i alredy know the answer who ever gets it right will earn a lot of points.

Answers

Answer: 12

Step-by-step explanation:

Start with 90/10 which gets you 9

Then add 3 and 9 which is 12

Answer:

12

Step-by-step explanation:

Order of operations says to do the division first

90/10 = 9

Then add the rest

9+3 = 12

-1/3 + -7/4 please help me​

Answers

Answer:

-25/12

Step-by-step explanation:

Given expression:

    [tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]

Open the parenthesis:

    [tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]

    [tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]

Make common denominators:

    [tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]

    [tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]

Subtract the fractions:

    [tex]\implies \boxed{\dfrac{-25}{12}}[/tex]

What is the range of the function f(x) = |x| + 3?

{f(x) ∈ ℝ | f(x) ≤ 3}
{f(x) ∈ ℝ | f(x) ≥ 3}
{f(x) ∈ ℝ | f(x) > 3}
{f(x) ∈ ℝ | f(x) < 3}

Answers

{f(x) ∈ ℝ | f(x) ≥ 3}  is the range of f(x) = |x| + 3

⇒ Range is in the y-axis

When graphing the following equation shown below:

f(x) ≥ 3f(x) ∈ ℝ[ 3, ∞ ]

Answer:

{f(x) ∈ ℝ | f(x) ≥ 3}

Step-by-step explanation:

The range of a function is the output values (y-values).

Absolute value is the distance of x from zero, so it is never negative.  It is denoted by a bar on either side of the term.

Therefore, as |x| ≥ 0 then |x| +3 ≥ 3

Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}

Find the volume of this triangular prism.

Answers

Step-by-step explanation:

To find volume of triangular prism the formula is : 1/2 base× height × length

so,1/2 × 7cm × 6cm × 10cm

420cm³/2

= 210cm³

forget it ill just search it on searchengine

Answers

Answer:

I'm a deku lover too! the answer is -589

Answer:the answer is bark bark woof

Step-by-step explanation:

my dog told me after he was done eating, it was crazy

Does anyone know what type of angle this is?

Answers

Answer:

SUPPLEMENTARY ANGLES

(ADJACENT ANGLES).

Step-by-step explanation:

< 4 and < 6 are on a straight line - adjacent angles and m < 4 + m <  = 180 degrees.  So they are supplementary angles also.

In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in², a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

Answers

L= 18, W = 15 and H = ?
2*(15+18) + 2*151) + 2* (18H) = 540 + 30H + 36H
1.728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is
less than 18

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

19.5 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

14^2 + b^2 = 24^2

196 + b^2 = 576

Now we subtract!!

576 - 196 = b^2

380 = b^2

Now we find the square root!!

[tex]\sqrt{380}[/tex] = 19.5 :)

Have an amazing day!!

Please rate and mark brainliest!!

12 Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the functions with their periods. y=-3tan3.r y=6sin3r 2.1 y=-4cot y=2009 y=-žsec 37 3 27 3 kas 3 10T Reset Next​

Answers

Answer:

Just use a calculator

Step-by-step explanation:

It's easier :)

screenshot :D will award brainliest

Answers

Answer:

  9 cm²

Step-by-step explanation:

Sometimes these inscribed polygon problems respond nicely to a little geometrical thinking. The figure is symmetrical about the vertical line through the center of the square(s).

__

Analysis

That line of symmetry divides the figure into halves that are twice as tall as wide. That same ratio applies to both the outer square and the inner (blue shaded) square.

In other words, a line from the center of the top segment through either bottom corner of the figure will pass through the corners of both squares. That line will have a slope of ±2, making it easy to find the coordinates of one of the lower corners of the shaded square.

__

System of Equations

Analytically, we can write the equation of the right circle shown in the attachment as ...

  x² +y² = 5²

and the equation of the line as ...

  y = 2x +5

__

Solution of Equations

Then the x-value of the lower left corner will be found where these intersect.

  x² +(2x +5)² = 25 . . . . . . substitute for y

  x² +4x² +20x +25 25 . . . . eliminate parentheses

  5x² +20x = 0 . . . . . . . . . . . . subtract 25

  5x(x +4) = 0 . . . . . . factor

  x = -4 or 0 . . . . . the x-coordinates of the points of intersection

The y-coordinate of the lower left point is ...

  y = 2(-4) +5 = -3

__

Area of the Square

Since the top edge of the blue square has a y-coordinate of 0, this means the square is 3 cm on a side. Its area is ...

  A = s² = (3 cm)² = 9 cm² . . . . area of the blue shaded square

Please help quick if possible
(using the image below)
Find the axis of symmetry

Answers

Answer:

-2, 10

Step-by-step explanation:

From the image, I'm pretty sure it's asking you to find where the line can be "cut" into to make it symmetrical. If this is true, you would need to find a half way mark in the graph, or try and plot this on the graph.

To cook fondant, sugar and water are heated to 230°F. Then the mixture
is cooled at room temperature before it is kneaded. If the cooked fondant
cools to 200°F in 15 minutes in a 68°F kitchen, how long will it take to
cool to 100°F? (Hint: Find the constant k first.)

Answers

Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.

Newton's law of cooling

According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.

Now;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time T

To = initial temperature

Ts = temperature of the surrounding

k = colling constant

t = time taken

200 = 68 + (230 - 68)e^-15k

200 = 68 + 162e^-15k

200 - 68/162 = e^-15k

ln(0.815) = -15k

k = ln(0.815)/-15

k = 0.014 min-1

Now;

100 = 68 + (230 - 68)e^-( 0.014t)

100 -68/162 = e^-( 0.014t)

0.198 =e^-( 0.014t)

ln(0.198) = -( 0.014t)

t = ln(0.198)/-0.014

t = 116 mins

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b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet

Answers

Answer:

168 sq

Np also you could've just searched it up


HELPPP WHATS THE AREA

Answers

i think it’s 120 bc of the formula for area of trapezoid (i’d write it but it’s kinda complex)

Answer:

Area of the trapezoid is 120

The volumes of two similar cylinders have a ratio of 27:64. The area of the base of the smaller cylinder is 18in
What is the area of the base of the larger cylinder?
Enter your answer in the box.

Answers

The answer is : 42.67 in

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 18 inches, and the length of the base is
17
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

Answers

Answer:56.8 inches

Step-by-step explanation:

For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.

the triangle is cut directly in half so both halves of the base are 17/2

17/2 = 8.5

solve through pythagoren theorum

altitude^2 + (half of base)^2 = (diagonal length)^2

18^2 + (8.5)^2 = (diagonal length)^2

324 + 72.25 = (diagonal length)^2

396.3 = (diagonal length)^2

[tex]\sqrt{396.3}[/tex] = diagonal length

diagonal length = 19.9

diagonal length + diagonal length + base = perimeter

19.9 + 19.9 + 17 = perimeter

56.8 inches = perimeter


1. According to the food label on a box cookies, each box has 16
servings and each serving contains 4 cookies. The weight of the
box of cookies is 1/2
kilograms. What is the weight of each
cookie?

Answers

Answer:

Step-by-step explanation:

Formula

Total number of cookies = number servings * number of cookies in serving

Givens

Number of servings = 16

Number of cookies in each serving=4

Total Mass = 0.5 kg

Solution

Total number of cookies = 16*4

Total number of cookies = 64

Total mass of box = # cookies * mass of 1 cookie

Total Mass of box = 0.5

# cookies = 64

0.5 kg = 64 * mass 1 cookie           Divide by 64

0.5 / 64 = 64*mass 1 cookie/64     Compute

Answer: mass 1 cookie = 0.0078 kg

This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.

The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.

i do not know this answer

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:14 {g}^{2} [/tex]

plug the value of given as -1 :

[tex]\qquad \tt \dashrightarrow \:14( - 1) { }^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:14(1)[/tex]

[tex]\qquad \tt \dashrightarrow \:14[/tex]

Do, the equivalent term is 14

I need help on this here is the question
Question: If sally has ? cake's and Give away 15 and has 9 left how much did she have before she gived away?
I have 5 days until I have hand it in to My teacher

Answers

Answer:

Step-by-step explanation:

24

when you reverse the digits in a certain two-digit number you increase its value by 45. Find the number if the sum of its digits is 13​

Answers

The answer is 58.

First, we need to find "x", being the number.

13+45=58X=58

----------------------------------------------------------------------------------------------------------

How did we get 58 though?----------Steps---------Add 3+53+5=8Then add 1+41+4=5

Therefore, the answer is 58.

X=58

Hope this heIps!

If this helped...

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Complete the table for each circle. Use paper to help you with your thinking

Help please

Answers

Answer:

written out in the explanation.

Step-by-step explanation:

Area of a circle = [tex]\pi r^{2}[/tex]

Circumference of a circle = [tex]2\pi r[/tex]

The radius is the center point of a circle to the edge of a circle. The diameter is a line from one edge of a circle to the opposite edge.

So, the radius is simply half of the diameter.

For circle A, the radius is 12. Therefore, the diameter is 24.

The circumference is 2·[tex]\pi[/tex]·12 ≈ 75.39822 inches. rounded, the circumference is 75.4 inches.

The area is [tex]\pi 12^{2}[/tex] ≈ 452.38934. rounded, the area is 452.39.

For B,

you have already solved the diameter and radius correctly, good job :). The steps for finding the circumference are the same as for circle A.

the circumference is 2·[tex]\pi[/tex]·6 ≈ 37.69911. rounded, the circumference is 37.7 inches.

the area is [tex]\pi 6^{2}[/tex] ≈ 113.09734. rounded, the area is 113.1.

For C,

the circumference is 12. We can use the circumference equation to solve for the radius.

12 = [tex]2\pi r^{2}[/tex]

divide both by 2[tex]\pi[/tex]

7.63943726841 = [tex]r^{2}[/tex]

square root of 7.63943726841 = 2.76395319577

radius = 2.76395 inches. rounded, the radius is 2.8 inches.

so, radius ·2 = 5.52790639154.

meaning diameter = 5.52791. rounded, the diameter is 5.5 inches.

the area is [tex]\pi 2.76395^{2}[/tex] ≈23.99994. rounded, the area is 24.

Researchers used two footballs of the same size to examine the effect of helium on kicking distance. One football was filled with air, and the other was filled with helium. Eleven people participated in the study. Each person kicked the football filled with air and the football filled with helium, and the kicking distances, in yards, were recorded. The football that was kicked first was determined by the flip of a fair coin, and the people did not know which football was filled with air and which was filled with helium. What type of study was conducted by the researchers and, of the following, which is the appropriate t-interval for inference?.

Answers

For the study conducted by the researchers,

The type of study that was conducted is a matched-pairs designThe appropriate t-interval for inference is a t-interval for a mean difference

How to determine the type of study?

From the question, we have the following highlights:

One football was filled with air (the control group)The other was filled with helium (the experimental group)

When a study used a control group and an experimental group, then such study is a matched-pairs design.

How to determine the appropriate t-interval for inference?

The appropriate t-interval for inference for a matched-pairs design is the  t-interval for a mean difference

Read more about matched-pairs design at:

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Please help I will give brainliest.

Answers

Answer:

3rd graph

Step-by-step explanation:

divide 100 in the ratio 2:3.​

Answers

100/2+3 = 20
2*20= 40
3*20 = 60


Kathi's order at the diner cost $12.75. She had
to pay 6% tax on the bill. How much is her tax?

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 12.75}}{\left( \cfrac{6}{100} \right)12.75}\implies 0.765~~\approx 0.77~~\textit{about 77 cents}[/tex]

In quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.

Answers

Answer: 35, 35, 70, and 220

Step-by-step explanation:

– Let x = size of one of the two equal angles

The sum of angles in a quadrilateral is 360:

360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)

360 = 4 + 2(4 ) – 60

360 = 4 + 8 – 60

360 = 12 – 60

12x = 420

= 35

Substituting x for 35, will get: 35, 35, 70, 220

The values of the angles are 35°, 35°, 70° and 220°

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