PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

(2,7)

Step-by-step explanation:

Variable Definitions:

x=

x=

\,\,\text{the number of apples}

the number of apples

y=

y=

\,\,\text{the number of bananas}

the number of bananas

\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}

“a minimum of 7 items"→7 or more items

Use a \ge≥ symbol

Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:

x+y\ge 7

x+y≥7

\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}

“$8 to spend"→can spend $8 or less

Use a \le≤ symbol

One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:

2x+0.50y\le 8

2x+0.50y≤8

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}

x+y≥7

y≥7−x

 

2x+0.50y≤8

0.50y≤8−2x

y≤

0.50

8−2x

y≤16−4x

Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:

0

the number of apples

the number of bananas

x

y

0

the number of apples

the number of bananas

(2, 7)

Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:

Zoey could buy 2 apples and 7 bananas.


Related Questions

In the diagram, EFG= OPQ complete the statement

Answers

2) EF is congruent to OP
3) angle P is congruent to angle F
4) angle G is congruent to angle Q (that weird upside down parentheses, I think that is a Q)
5) measure of angle O equals 110 degrees and it equals the measure of angle E
6)QO equals GE and it is 7km
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help reertertewrtewrtetewtwretw5trt

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Answer:

C is the answer

Hope I helped

What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?

Answers

Answer:

y = 1/3x + 4

Step-by-step explanation:

Make it into slope intercept form

3y = x + 6

y = 1/3x + 2

parallel = same slope

y = 1/3x + b, plug in (3,5)

5 = 1/3(3) + b, b = 4

y = 1/3x + 4

table.
Write 2 times

Answers

Answer:2x1=2 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16 2x9=18 2x10=20 2x11=22 2x12=24

Step-by-step explanation:

Those are the basics, just add 2 and that's it

Answer:

Step-by-step explanation:

2 times table

1 x 2 = 2

2 x 2 = 4

3 x 2 = 6

4 x 2 = 8

5 x 2 = 10

6 x 2 = 12

7 x 2 = 14

8 x 2 = 16

9 x 2 = 18

10 x 2 = 20

11 x 2 = 22

12 x 2 = 24

What is 14 x7/8
PLEAAAAASSSSSEEEEEEE HELP.

Answers

Answer:

49/4

Step-by-step explanation:

Answer: 12 1/4

Step-by-step explanation:

A man drops a stone from a bridge. How high is the bridge if the stone hits the water 4 seconds later

Answers

Answer: 4 feet

Step-by-step explanation:

Also,How do I factorise these?

x²-49

x²-9

x²-16​

Answers

Answer:

Step-by-step explanation:

x2 - 49

Both are squares so

Square root (x2) - Square root (49)

= x - 7

The other two answers are x - 3 and x - 4

Answer:

Use the formula (x-a)(x+a)=x^2 - a^2

so what is the square root of 49, 9, and 16? By finding the square root you get a, and you can just plug it into the formula. For example the first one, 7 is the square root of 49. So, (x-7)(x+7)

Both roots of x^2 + Nx + 144 are equal to each other. Find all the possible values of N.

Answers

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ6

Convert 9.63x10^-3 into Standard form ASAP!

Answers

Answer:

= .00963

Step-by-step explanation:

Move the decimal 3 places to the left.

= .00963

HELP ME WITH THESE 5 QUESTIONS AND I¨LL CASHAPP YOU 55$ ANSWERS MUST BE ALL CORRECT PLZ AND THANK YOU:)

Answers

Answer:

What type of math is this

Step-by-step explanation:

algebra?

(5x +40x +
+ 40x+31) = (x+7)

Answers

Answer:

Step-by-step explanation:

5x + 40x + 40x + 31 = x + 7

85x + 31 = x + 7

Bringing like terms on one side

85x - x = 7 - 31

84x = - 24

x = - 24/84 = 2/7

If the 3 cans cost 0.78 how much will 2 cans cost

Answers

Answer:

.52

Step-by-step explanation:

math ting

please HELP MEEEEEEEEEEEEEEE

Answers

It would be arrow
Because that is the right answer
I swear I am not doing this for points but I can barley see your screen it looks so dark, maybe turn your brightness up some.

Find the area of a circle having circumference 176 cm...Pls answer this question...

Answers

Answer:

area of circle = 2464 cm²

Step-by-step explanation:

circumference = 176 cm

formula of circumference = 2πr

2πr = 176 cm

2 × 22/7 × r = 176 cm

44/7 ×r = 176 cm

r = 176 ÷ (44/7)

r = 176 × 7/44

r = 28 cm

area of circle

= πr²

= 22/7 × 28²

= 22/7 × 784

= 2464 cm²

What is the least amount of additional money Sofia can spend to get the sushi they need?

Answers

Answer:

$

Step-by-step explanation:

As part of your retirement, you wish to generate $2,000 monthly payments for a 15-year period. The annual interest rate is 5%. What minimum amount is necessary to fund these payments?

Answers

Answer:

$962.0

Step-by-step explanation:

The formula for amount is ;

[tex]A=P(1+\frac{r}n} )^{nt}[/tex]

where

A= amount at the end of the period= $2000

P=minimum amount necessary to fund the payments

r= annual interest rate = 5% = 0.05

n= number of compounding per year , 1

t= time period = 15 years

Applying the values to the formula as;

[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]

Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-
meter leg with an average speed of 930 centimeters per second. Who ran the race faster, and how much faster was that
person's speed to the nearest meter per second?
Amir ran approximately 1 meter per second faster than Ryder.
Ryder ran approximately 1 meter per second faster than Amir.
Amir ran approximately 104 meters per second faster than Ryder,
Ryder ran approximately 104 meters per second faster than Amir.

Answers

Answer:

its b my guys :)

Step-by-step explanation:

Answer:

It's b

Step-by-step explanation:

hop it help

A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?​

Answers




303.24

have a great day!!

Answer:

Around 300 pounds

Step-by-step explanation:

what is the first step in solving this equation?
5x+7=12​

Answers

Answer:

Subtract 7 from 12.

Step-by-step explanation:

Answer:

subtract 7 from both sides.

5x = 5

x = 1

HELP ME WITH THIS ASAP TYSM

Answers

Answer:

6 + 21r

Step-by-step explanation:

3 ( 2 + 7r )

3 ( 2 ) = 6

3 ( 7r ) = 21r

6 + 21r

Hope this helps dude ^-^

Answer: 6 + 21r

Step-by-step explanation:

distribute the 3 to each thing in the parentheses

so 3(2 + 7r) becomes

3(2) + 3(7r)

6 + 21r

What is the measure of angle c?
97°
a
du
b
54°
HELP

Answers

Answer:

∠ c = 29°

Step-by-step explanation:

∠ b = 97° ( vertical angles are congruent )

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

∠ c + 54° + 97° = 180°

∠ c + 151° = 180° ( subtract 151° from both sides )

∠ c = 29°

Mollie bought 12 packages of carrots for a total of $48. She realized she needed to purchase another 10 more packages. How much will she have spent IN ALL on the carrots?

Answers

Answer:

$88

Step-by-step explanation:

48/12= 4

for another 10 she pays another $40

Answer:

$88

Step-by-step explanation:

Solve for x to make the proportion true.
*
22
44
6
X =

Answers

Where’s the equation?

Anyone want a BRAINLIEST, 60 POINTS?!?!? THEN PLZ HELP ME FIRST CORRECT ANSWER GETS BRAINLIEST


Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?



What is the rate of change of the equation from Part A?

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?



Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.

Answers

Answer:

Step-by-step explanation:

y=0.860x17+3.302

foot is 17.992 inches long

Unfortunately, I don't have access to your data so i can't give a solid answer. However, I can tell you that if your coefficeint (number before x) is greater than 0.86, you have a greater rate of change. If its smaller, its a lower rate of change.

Answer: 17.922

Step-by-step explanation:

Solve for X

17
47
34
13

Answers

Answer:

So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°

Step-by-step explanation:

Sorry if that’s confusing

Answer:

x = 17

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

94° is an exterior angle of the triangle, thus

2x + 60 = 94 ( subtract 60 from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

Please can someone help me

Answers

Answer:

C those who vote for the ballot tend to be from district 2

When we solve the inequality, will we keep or switch the inequality sign?

−6+y< 3

Answers

Answer:

You keep the inequality sign.

Step-by-step explanation:

Please mark brainliest.

Answer: you would keep the sign

A math problem that I need an answer for.

Answers

A is your answer hope it helps

I have no use for them just take them pls

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Noooooo wayssssssss

I wontttttttt

first answer gets brainliest (20 points worth question)

Answers

Answer:

A is correct

Step-by-step explanation:

2 ^-3 is equal to 0.125

A is also equal to 0.125

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