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

Help me please it’s algebra

Answers

Answer:

80 degrees

Step-by-step explanation:

To convert radians to degrees, multiply by 180π since a full circle is 360° or 2π radians. Cancel the common factor of π. Factor π π out of 4π 4 π.

hope this helps.

Rachel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed

Answers

Answer:

[tex]speed= \frac{6.4}{4} = 1.6[/tex]

.....

a. Complete the table.
х
f(x) = 2(2)*
=
-2 -1
0
1
2
1

Answers

Answer:

1/2,1,2,4,8 in order

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=2(2)^x}[/tex]

The function can be simplified to:

[tex]\displaystyle \large{f(x)=2^{x+1}}[/tex] via law of exponent.

Recall:

[tex]\displaystyle \large{a^m\cdot a^n=a^{m+n}}[/tex]

Next, substitute given x-values in:

[tex]\displaystyle \large{f(-2)=2^{-2+1}=2^{-1}=\dfrac{1}{2}}\\\displaystyle \large{f(-1)=2^{-1+1}=2^0=1}\\\displaystyle \large{f(0)=2^{0+1}=2^1=2}\\\displaystyle \large{f(1)=2^{1+1}=2^2=4}\\\displaystyle \lage{f(2)=2^{2+1}=2^3=8}[/tex]

Therefore, the solution is 1/2,1,2,4,8

PLS HELP ME ASAP I WILL MARK THE BRAINLIEST

Answers

Answer:

1:3, 24/8=3/1

Help me please. I really neeed it

Answers

Answer: You need to put the same shape as it shows there on the top.

Step-by-step explanation: I hope this helped you.

Each passenger on an airplane can take two suitcases, and each suitcase can
weigh no more than 50 pounds. If there are 120 passengers and each passenger
takes the maximum weight of luggage allowed, how many tons of luggage will
there be on the plane?

Answers

Answer:

6 tons

Step-by-step explanation:

So we know there are 120 passengers. If they all take the limit, which is 50 pounds each, we can multiply the 2 figures to get 120*50=6000 pounds. Since the question is asking us to answer in tons, we must convert 6000 pounds into tons. We can do this by using the convertion factor of 2000 lbs = 1 ton. With this logic, 6000 pounds equals 3 tons. But remember, each passenger can take 2 luggages. So just multiply by 2 to get 6 tons!

I hope this helped!

Please mark brainliest! I really need it. It would be very much appreciated.

Depending on whether they’ll take one or two suitcases.
The minimum weight: 50 (one suitcase per person) x 120 (total amount of people) = 6000 pounds (3 tons)
The maximum weight: 100 (two suitcases) x 120 (total amount of people) = 12000 (6 tons)

So the answer could be 6 tons because it makes more sense to the fact that they’re taking maximum weight.

Select all ratios equivalent to 3:5.
13:30
4:15
6:10

Answers

Answer:

6:10

Step-by-step explanation:

3:5 is equivalent to 6:10 because you multiply both 3 and 5 by 2 and you get 6:10. every thing else is wrong

Answer:

6:10 is the only ratio equivalent to 3:5

Step-by-step explanation:

its not the first one because 5 goes into 30 6 times and 3*6=18 not 13

4:15 isn't possible either because 5 goes into 15 3 times and 3*3=9 not 4

the last one is correct because 3*2=6 and 5*2=10

Given circle U with diameter ST and radius UQ. QR is tangent to U at Q. If
UQ = 8 and QR = 15, solve for U R. Round your answer to the nearest tenth if
necessary. If the answer cannot be determined, click "Cannot be determined."

Answers

Answer:

QT = 18

Step-by-step explanation:

The population of the high school increases by 10% each year what would B= in the form of y=a(b)^x​

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &a\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=a(1 + 0.10)^{x}\implies A=a(1.1)^x~\hfill \boxed{y=a(1.1)^x}[/tex]

An angle measures 62 degrees less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

40 and 67

Step-by-step explanation:

please help!!! I need this ​

Answers

Answer:

it is (2): AOB = COD

Step-by-step explanation:

given data 4,x,9,5,2,7 find x if the mode is 4

Answers

Answer:

x = 4

Step-by-step explanation:

This is because the definition of mode is the number that appears the most or is the popular of the numbers in the data set.

This could be any number since each number is listed once, but the requirements/directions say the mode is 4 so you need another 4 in order to have a mode of 4.

HELPPPPPP PLSSSSSSSS

Answers

Answer:

hmmmm help rin ako po please

Kyle know, that if he tosses a coin, there a 50% probability of seeing it land head up . He tossed a coin in air 30 times and saw it land heads up 19 times. What is the difference between the predicted probability and the actual outcome of the coin toss?

Answers

Answer:

4 times, 2/15, 4/30

Step-by-step explanation:

The predicted probability is 15/30.

So, 19/30-15/30 IS 4/30, or 2/15.

??? HELP FAST
What is a area

Answers

Answer:

100 in^2

Step-by-step explanation:

Four right triangles      area of each = 1/2 b * h      each has b = 5   h = 10

 apparently not drawn to scale

4  *   1/2 ( 5 * 10)  = 100 in^2

Plot startroot 1.5 endroot and startroot 1.9 endroot on the number line to find which inequalities are true. check all that apply. startroot 1.5 endroot < 1.5 startroot 1.9 endroot < 1.9 startroot 1.5 endroot < startroot 1.9 endroot 1.2 > startroot 1.5 endroot > 1.3 1.3 < startroot 1.9 endroot < 1.4

Answers

The expressions √1.5 and √1.9 are radical expressions

The true inequality about √1.5 and √1.9 is √1.5 < √1.9

How to determine the true inequality?

The numbers are given as:

√1.5 and √1.9

Evaluate both root expressions

√1.5 = 1.22

√1.9 = 1.38

By comparison, we have:

1.22 <1.38

Rewrite as:

√1.5 < √1.9

Hence, the true inequality about √1.5 and √1.9 is √1.5 < √1.9

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Please help me . 8,10,11!

Answers

8 no. is 2x²10 no. is 2x11 no. is 7x÷12

Which is more, 662 feet or
1
8
of a mile?

Answers

Answer:

the answer is 662 feet

Step-by-step explanation:

becuase one eighth of a mile is 660 feet

A bag contains 7 marbles 3 red 2 blue 2 green what is the probability of picking a green marble. answer as a percent

Answers

Answer:

28.57%

Step-by-step explanation:

to find the probability of something being picked you divide the amount of what your trying to get (2) by the total amount of what's in it (7).

2÷7=.2857

to turn it into a percentage we move the decimal point 2 to the right

28.57

I think of a number and add one fourth of it to half of it and the result is twelve. What is the number I thought of?

Answers

Suppose that the number u were thinking about is x thus :

[tex] \frac{1}{4} x + \frac{1}{2} x = 12 \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{1}{4} x + \frac{1}{2} x) = 4 \times 12 \\ [/tex]

[tex]x + 2x = 48[/tex]

[tex]3x = 48[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{48}{3 } \\ [/tex]

[tex]x = 16[/tex]

NEED HELP ASAPPPPPP!!!!!!

Answers

Answer:

D

Step-by-step explanation:

K/1 = (QD)/(AT)

(K)(A)(T) = (Q)(D)

A = QD/KT

Tayshawn is going to spend 35% of his money on a gift for his mother. If the gift costs $42 how much money does Tayshawn have


6th grade

Answers

well, he has "x", which oddly enough is 100%, and we also know that 42 is 35% of that, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 42& 35 \end{array} \implies \cfrac{x}{42}=\cfrac{100}{35}\implies \cfrac{x}{42}=\cfrac{20}{7} \\\\\\ 7x=840\implies x=\cfrac{840}{7}\implies x=120[/tex]

consider the right triangle
8 in. 5 in. x

what is x

Answers

x²= 8²-5²

=39

x=V39

..........

The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip
of the minute hand is 55 feet above the ground. How high above the ground is the
center of the clock face? Explain how you know.

Answers

Answer: 12:55 is the answer

Step-by-step explanation:

dont delete this brainly

The height of the center of the clock above the ground is 52 feet such that the length of the minute hand of the clock is 6 feet and at 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.

Sine trigonometric function

The trigonometric function, [tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex] .

How to determine the length of the side using trigonometric function?

From the given information, the following pictorial representation can be made.

The distance between the centre of the clock and the the point of the minute hand 10 minutes after the hour is-

[tex]x=6sin30\\x=3\text{ft}[/tex]

Now, from the figure,

The height of the center of the clock above the ground is-

d=6+(55-3-6)

=52 ft

Thus, the height of the center of the clock above the ground is [tex]52\text{ft}[/tex]

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please give me complete working and explanation and I will mark you as brainliest!​

Answers

Fridge cost $10,535

Stove cost $4,999

Amount spent on fridge more than the stove = costof fridge - cost of stove
= $10,535 - $4,999
= $5,536

Answer:

she spent 5,536 more dollars π

Step-by-step explanation:

10,535 - 4,999= 5,536

thats how much more money it cost than the stove.

Esther is building a tower of cubes. The ratio of red to yellow cubes is 3:1 The tower has 6 yellow cubes. How many red cubes are there? please help me​

Answers

Answer:

18

Step-by-step explanation:

We can rewrite the question into mathematical forms, such as:

[tex]\frac{3}{1} =\frac{x}{6}[/tex]

solve for x:

[tex]\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x[/tex]

questions in the picture below​

Answers

Answer:

Answer is

a) 50%

b) 20%

c) 40%

Step-by-step explanation:

State whether each of the statements below is true or false.
Write down your reasoning and give a counter-example for any
statement you believe is false
a All isosceles triangles are similar.
b All equilateral triangles are similar.
C All right-angled triangles are similar.
d All right-angled triangles with an angle of 30° are similar.
e All right-angled isosceles triangles are similar.
f No pair of scalene triangles are ever similar.

Answers

Answer:

a)True

b)True

c) False

d) True

e)True

f) True

I NEED HELP ASAP PLEAS HELP ME

Answers

Answer:

m=117

Step-by-step explanation:

So this area is 360 degrees

What you can see the 68 degrees is congruent to its opposing side so we can eliminate those. 360 - 126= 234

We can see m is congruent to U

234/2=117

m=117

In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in june for pensacola as a function of time (t). f(t) = 12 cospi over 2t 5 f(t) = 5 cospi over 2t 12 f(t) = 5 cospi over 6t 7 f(t) = 7 cospi over 6t 12

Answers

An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

[tex]y = A cos bx + c[/tex]

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

What is the formula for the amplitude?

[tex]A = 1/2 (Xmax - Xmin)[/tex]

[tex]12 - 2 / 2 = 10/2 = 5[/tex]

[tex]b = 2 pi / 12 = pi/6[/tex]

[tex]c = 1/2 (Xmax + Xmin)[/tex]

[tex]12+2/2 = 7[/tex]

Therefore, the an equation for water level in june for pensacola as a function of time (t)

[tex]f(t) = 5 cos pi/6 t + 7[/tex]

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