Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.

Answers

Answer 1

The maximum number of apples that she can buy is 7.75.

We are given that:

- Apples cost $2 each.

- Mangos cost $1.50 each.

- Mia has $20 to spend.

- Mia must buy no less than 9 apples and mangos altogether.

- Mia decided to buy 3 mangos.

Now,

we can write the following system of equations:

[tex]$\begin{cases}2a + 1.5m \leq 20\\a + m \geq 9\\m = 3\end{cases}$[/tex]

Substituting $m = 3$ into the second equation, we get:

[tex]$a + 3 \geq 9 \Rightarrow a \geq 6$[/tex]

So, Mia must buy at least 6 apples.

To determine the maximum number of apples that she could buy, we can substitute m = 3 into the first equation and solve for a:

[tex]$2a + 1.5(3) \leq 20 \Rightarrow a \leq \frac{20 - 4.5}{2} = 7.75$[/tex]

Therefore, by equation answer will be 7.75.

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Related Questions

What is the GCF of g^3 an g^15

Answers

Answer:

The GCF of both is g^3

Step-by-step explanation:

Here, we are asked to give the greatest common factor of g^3 and g^15

In simpler terms we want to find that biggest term that could divide both values.

Mathematically, since g^3 is itself a factor of g^15, then we can conclude that the GCF of both is g^3

Roger Roofing company wants to buy twenty eight
new boxes of supplies for their company. If each box
costs $98.79. How much will Roger Roofing
company's total bill be?

Answers

2,766.12 multiply 98.79 x 12

The sum of two consecutive numbers is 704. What are the two numbers?

Answers

Answer:

350 and 351

Step-by-step explanation:

Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 704.

350 + 2 = 352

351 + 1 = 352

352 + 352 = 704

I am not 100% but did this help any?

what is the equivalent expression of 0.5

Answers

Answer:

1/2=0.5

Step-by-step explanation:

The whole number 330 is divisible by 2 3 5 6 10 and 11

Answers

Answer:

3,10,6

this is the  answer

What values from the set 1 2 3 4 5 make the inequality true ? n + 2 < 6

Answers

Answer:

1, 2, 3

Step-by-step explanation:

The GCF of 12 and 28 is _____.

Numerical Answers Expected!

Answers

Answer:

4

Step-by-step explanation:

Prime Factorization of the numbers:

12=2x2x3

28=2x2x7

GCF(12,28)

=2x2

=4

PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST!!!!

The figure shows Triangle ABC and some of its transformed images on a coordinate grid: A coordinate plane is shown. Triangle ABC includes points negative 10 comma 2, negative 7 comma 5, and negative 7 comma 3. Triangle 1 has endpoints negative 6 comma 3, negative 6 comma 5, and negative 3 comma 2. Triangle 2 has endpoints 2 comma 3, 2 comma 5, and 5 comma 2. Triangle 3 has endpoints negative 9 comma negative 1, negative 7 comma negative 1 and negative 5 comma negative 4. Triangle 4 has endpoints negative 1 comma 1, negative 1 comma negative 1, and negative 4 comma negative 2. Which of the four triangles was formed by a translation of Triangle ABC?
a. 1
b. 2
c. 3
d. 4

Answers

Answer:

4

Step-by-step explanation:

they cant change the angle or the way they face

Answer:

Actually it is 3

Step-by-step explanation:

Because i said so and i calculated it.

Priya can bike 150 meters in 20 seconds at this rate , how long would it take her to bike in 3,000 meters???????? Does anyone know I’m stuck

Answers

Answer:

400 seconds

Step-by-step explanation:

150/20=7.5 meters per second

3000/7.5=400 seconds

Priya will take 400 seconds to cover distance of 3,000 meters.

What is speed?

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.


Given that,

Distance covered by Priya in 20 seconds = 150 meters.

The speed of Priya = 150 / 20 = 15/2 meters per second

To find the time to cover the distance of 3,000 meter,

Use formula,

Time = distance / speed

Time = 3,000 / (15/2)

Time = 400 seconds

To cover 3,000-meter distance, Priya will take 400 seconds.

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Xavier takes 2.5 hours to drive 185 kilometers. What is his speed?

Help

Answers

Answer:

74 km/hr

Step-by-step explanation:

185 km  / 2.5 hr = 74 km/hr

Answer:
74km/h

Explanation:
The formula we need for this problem:
Speed=Distance/Time

1) Input the values
Speed=185/2.5
Speed=74

Therefore, Xavier is driving at a speed of 74km/h.

I hope this helps! Please comment if you have any questions.

find the value of x- PLEASE HELP!!!

I need to show my work

Answers

Answer:

x = 73

Step-by-step explanation:

so a circle is 360degrees,

the components that make up the 360 degrees are given, so form an equation and solve

295 + 38 + x - 46 = 360

solve with inverse operations and simplifying

295 + 38 + x - 46 = 360

-295                        -295

38 + x - 46 = 65

-38               -38

x  - 46 = 27

   + 46   +46    

x = 73

What is the sale price of a plastic watch originally priced at $4.80 if the sale is 50%

Answers

Answer:

$2.40

Step-by-step explanation:

There is a 50% discount, so you do 50% of 4.80 which is 2.40

Then subtract 2.40 from 4.80

and you get 2.40

[tex].50*4.80=2.40[/tex]

[tex]4.80-2.40=2.40[/tex]

I hope that wasn't confusing.

Hope this helps! (✿◠‿◠)

The required price of a plastic watch in the sale is $2.40.

Given that,
to determine the sale price of a plastic watch originally priced at $4.80 if the sale is 50%.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What are percentages?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
A plastic watch was originally priced at $4.80.
After 50% the price is = 50% * 4.80
                                     = 4.80 * 50 / 100
                                     = 4.80 * 1/2
                                     = $ 2.40

Thus, the required price of a plastic watch in the sale is $2.40.

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I NEED HELP ASAP! WILL GIVE BRAINLIEST
A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?

1 foot
2 feet
3 feet
4 feet​

Answers

Answer:

1 foot

Step-by-step explanation:

The far above the water is the yellow mark is 1 foot.

Important information:A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline.

Calculation of feet:

[tex]cos \frac{\pi}{3} = \frac{OB}{OA}\\\\ \frac{1}{2} = \frac{OB}{4}\\\\ OB = 2[/tex]

Now

A yellow mark above the water should be

= OB - OD

= 2 - 1

= 1 feet

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Two lines intersect to form two pairs of vertical angles. <1 with measure (5x + 7)° and <3 with measure (9x -21)° are vertical angles. <2 with measure (10x + 7y + 5)° and <4 are vertical angles. Find the values x and y and the measures of all four angles.

Answers

Answer:

dadadad

Step-by-step explanation:

IS 5.6........... a natural number ,integer, irrational number, or a real number

Answers

Answer:

irrational number

Step-by-step explanation:

it has a repeating decimal

Answer:

5.6 is a irrational number

Step-by-step explanation:

since 5.6 can be expressed as a fraction (28/5)

Reflect across the y-axis: (x,y)​

Answers

Answer:

(-x,y)

Step-by-step explanation:

Answer:

(-x y)

Step-by-step explanation:

do the math then it equals that there we go, plus I agree with the 1st answer well now I gonna do social studies

someone help me... please show work​

Answers

Answer:

x=5

Step-by-step explanation:

Set the 2 equations equal to each other and solve for x.

11x-28=7x-8

add 28 to both sides (-8+28=20)

11x=7x+20

subtract 7x from both sides (11x-7x=4x)

4x=20

divide both sides by 4 to isolate x (20/4=5)

x=5

Can someone please help I need both of these questions like right now !
* if u do not know it please do not answer*
*Thanks you , have a good day/night/afternoon

Answers

Answer:

b a

Step-by-step explanation:


Find the distance between A (2.6) and N (5,10). Round to the nearest tenth, if necessary.

Answers

Answer:

5

Step-by-step explanation:

Please help asap I need help 25 points

Answers

i will first find the number that if u multiply 3 times u get 216

which is

6

so

rewrite it as (- 1/6)^3

and we pull this together it becomes - 1/6

     -

−0.16

there is a bar (-) on top of 6

i need help with this math question​

Answers

Answer:

A. g(x) = 2∛x

Step-by-step explanation:

Given

Function f(x) = ∛xThe transformation of f(x) is g(x)

As we see on the graph the function g(x) is the stretched form of f(x) and there is no horizontal or vertical shift

So It is achieved as:

g(x) = kf(x), where k > 1

Correct answer choice is

A. g(x) = 2∛x

URGENT, The following table shows the expressions that represent the sales of 4 companies:


Company A, B, C, D

Sales 110(0.70)^x, 140(1.07)^x, 430(1.90)^x, 310(1.14)^x


Rank the company sales by smallest to largest percent of increase and select the correct answer below.


1) A, B, C, D


2) A, B, D, C


3) D, C, B, A


4) D, C, A, B

Answers

Answer:

ABDC

Step-by-step explanation:

Company A B C D

Sales 110(0.70)x 140(1.07)x 430(1.90)x 310(1.14)x

the order from least to greatest is

110,140,310,430 or

ABDC

multiplicative inverse of negative 3​

Answers

Answer: -1/3

Step-by-step explanation: In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x-1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. Sice -3 can also be shown as -3/1, all we do is flip this to get -1/3.

The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].

What is a multiplicative inverse?

"The multiplicative inverse of a number is defined as a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'x' denoted by  [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex]."

A multiplicative inverse or reciprocal for a number x is denoted by [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex], The multiplicative inverse of a fraction [tex]\frac{a}{b}[/tex] is [tex]\frac{b}{a}[/tex].

Since -3 can also be written as [tex]\frac{-3}{1}[/tex]

We have to flip [tex]\frac{-3}{1}[/tex]  to get multiplicative inverse.

The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].

Thus, the multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].

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The cooridinates of the point 3/10 of the way from A to B are? The given points are A(-3,-6), and B(12,4)

Answers

(15,10) is the answer you would add them up

17X+1 +20x-14 = 90
find x

Answers

Answer:

x = 2.8

Step-by-step explanation:

17x+1+20x-14 = 90

Combine like terms.

37x-13 = 90

Add 13 on both sides.

37x-13 = 90

     +13   +13

37x = 103

Divide both sides by 37.

37x = 103

/37     /37

x = 2.8

(I rounded up, but if you need a more specific number, just search up 103 divided by 37.)

Hopefully this helps you!! Have an amazing day c:

What is the slope of the line that passes through the points A(0, 1) and B(2, 7)?

Answers

Answer:

3

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

7-1/2-0

6/2

3

Best of Luck!

Is the figure an example of perpendicular lines? A. Yes, the lines intersect at a 90- degree angle B. Yes, the lines do not intersect at a 90-degree angle C. No, the lines intersect at a 90-degree angle D. No, the lines do not intersect at a 90-degree angle.​

Answers

Answer:

it is B: yes the lines do not intersect at a 90 degree angle.

Step-by-step explanation:

if it intersected at a 90 degree angle, then it would have the 90 degree angle symbol and the figure would look like a cross, rather than an X shape.

here is an example of a figure that is perpendicular with a 90 degree angle:

3.8. as a simplified percent

Answers

380% is the simplified percentage

The graph below shows the relationship between time and distance traveled by a race car moving at a
constant rate and at its maximum speed. How long did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)

Answers

Answer:

2.4 hours

Step-by-step explanation:

The graph of the question is attached below.

A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the intercept.

The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (1.5, 300) and (2.5, 500). Hence using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-300=\frac{500-300}{2.5-1.5} (x-1.5)\\\\y-300=200(x-1.5)\\\\y-300=200x-300\\\\y=200x-300+300\\\\y=200x\\\\To\ find\ the\ time\ taken\ to\ travel\ 480 \ miles,we\ substitute\ y=480\ \\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]

The sum of the 2nd and 3rd terms of an arithmetic sequence is 27 and the sum of the 4th and 5th terms is 77.

Find the common difference of the sequence.

Give your answer as a decimal.

Answers

Answer:

d = 12.5

Step-by-step explanation:

Second term = a + d

Third term = a + 2d

a + d + a + 2d = 27

2a + 3d = 27

Fourth term = a + 3d

Fifth term = a + 4d

a + 3d + a + 4d = 77

2a + 7d = 77

2a + 3d = 27 (1)

2a + 7d = 77 (2)

Subtract (1) from (2) to eliminate a

7d - 3d = 77 - 27

4d = 50

Divide both sides by 4

d = 50/4

= 12. 5

d = 12.5

Substitute d = 12.5 into (1)

2a + 3d = 27

2a + 3(12.5) = 27

2a + 37.5 = 27

2a = 27 - 37.5

2a = -10.5

a = -10.5 / 2

= -5.25

a = -5.25

The common difference of the sequence is 12.5.

Given that,

The sum of the 2nd and 3rd terms of an arithmetic sequence is 27,

And the sum of the 4th and 5th terms is 77.

We have to determine,

The common difference of the sequence?

According to the question,

Let d is the common difference of the sequence,

The second term to the arithmetic series is,

[tex]\rm Second \ term= a+d[/tex]

And the third term to the arithmetic series is,

[tex]\rm Third \ term= a+2d[/tex]

The sum of the second and third terms of the sequence is 27.

[tex]\rm Second \ term + third \ term = 27\\\\a+d + a+2d = 27\\\\2a + 3d = 27[/tex]

The fourth term to the arithmetic series is,

[tex]\rm fourth \ term= a+3d[/tex]

And the fifth term to the arithmetic series is,

[tex]\rm fifth \ term= a+4d[/tex]

The sum of the fourth and fifth terms of the sequence is 77.

[tex]\rm fourth\ term + fifth \ term = 77\\\\a+3d + a+4d = 77\\\\2a + 7d = 77[/tex]

On solving both the equations,

[tex]\rm 2a + 3d = 27\\\\2a + 7d = 77[/tex]

Subtract equation 1 from equation 2,

[tex]\rm 2a + 3d - (2a + 7d) = 27-77\\\\2a +3d -2a-7d = -50\\\\-4d = -50\\\\d = \dfarc{-50}{-4}\\\\d = \dfrac{25}{2}\\\\d = 12.5[/tex]

Hence, The required common difference of the sequence is 12.5.

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