1. In a supermarket, each orange costs $3, and each apple costs $2. If you want to spend
exactly $45, write an equation in standard form modeling this situation. Let o represent
the number of oranges you buy, and a represent the number of apples you buy.

Answers

Answer 1

Answer:

3o  + 2a = $45 ( you can buy 9 oranges and 9 apples)

Step-by-step explanation:

First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.

Then I divided 45 by 2 and 22 was the highest whole number.

Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.

3 times 9 equals 27 (oranges)

45 - 27 = 18

2 times 9 equals 18 (apples)

Answer 2

3o+2a =$45 is the  equation in standard form modeling this situation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that in a supermarket, each orange costs $3, and each apple costs $2.

Let o represents the number of oranges you buy

and a represent the number of apples you buy.

If you want to spend exactly $45

We have to find the equation to model this situation

3o+2a =$45

Hence, 3o+2a =$45 is the  equation in standard form modeling this situation.

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Related Questions

Which of the following is a true statement?

3/5 8/24

4/8 8/24

Answers

Answer:

B

Step-by-step explanation:

6/16 = 0.375

8/24 = 0.33333...

4/8 = 0.5

6/16 = 0.375

therefore, B is correct

Jordan weighed two buckets of sand for a geology project. The first bucket weighed 26.31 pounds. The other bucket weighed 4.39 pounds. How much do the two buckets of sand weigh all together?

Answers

Answer:

30.7

Step-by-step explanation:

Tje answer is 26,31+4,39=30,7

Heeelpppppppp fasttttttttttttt!!!!!!!!!!!!!!!!

Answers

Thinking it’s going to be c

what are 4 different slopes

Answers

Answer:

negative, positive, zero, and undefined

Step-by-step explanation:

What is 3/5 by 1/2 reduced?

Answers

Answer: 1/10

Step-by-step explanation:

I think you mean 3/5 - 1/2?

we need to make the denominators the same, so we find the LCM of 5 and 2, which is 1, so we multiply them to get a common denominator of 10.

Now we multiply 3/5 by 2/2 to get 6/10, and 1/2 by 5/5 to get 5/10.

6/10 - 5/10 = 1/10

can you give brainliest

HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7) ​
y−4=2/5(x−7)

Answers

Answer:

y + 7 = 2/5 (x + 4)

Step-by-step explanation:

(I hope 25 is 2/5)

The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. (you also have to flip the signs when putting them in, causing -4 and -7 to become 4 and 7)

Hope this helps!

Greatest common factor 16 and 100

Answers

Answer:

4

Step-by-step explanation:

The greatest common factor (GCF)

The greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

Here,

To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that can evenly divide both numbers.

Here's the step-by-step process to find the GCF of 16 and 100:

Step 1: List the factors of each number.

The factors of 16 are 1, 2, 4, 8, and 16.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Prime factorization of 16:

16 = 2 * 2 * 2 * 2

Prime factorization of 100:

100 = 2 * 2 * 5 * 5

Step 2: Identify the common factors.

The common factors of 16 and 100 are 1, 2, 4.

Step 3: Find the greatest common factor.

Among the common factors, the greatest common factor (GCF) is the largest one, which is 4.

So, the GCF of 16 and 100 is 4.

In conclusion, the greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

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School lunch costs $1.25 per day. If there are 21 school days
this month, how much would it cost to eat at school all
month?. SHOW YOUR WORK., i need help asap

Answers

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

It will cost you $26.25 dollar for 21 days.

A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?

Answers

7tasks takes the robot 6:5x2=1.2x2=2.4 which is 24min 24:7=3.4min. Which is 1task so roughly a robot can complete 60:3.4=18 in one hour

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

A robot can complete 7 tasks in 2/5 hour.

Each task takes the same amount of time.

Now,

Since, 7 tasks = 2/5 hour

So, 1 tasks = 2 / 5×7

                = 2 / 35 hour

Thus, The robot take 2 / 35 hour to complete one task.

And, 2/5 hour = 7 tasks

So, 1 hour = 7 x 5 / 2

               = 35 / 2

Thus, The robot complete 35/2 tasks in one hour.

Therefore,

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

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Kenny has a jar full of nickels and dimes. If he counted the money in his jar, how much does he have ?

Answers

Answer:

Step-by-step explanation:

  it c

Answer:

C.

Step-by-step explanation:

Graphing Ratios Which line includes the ratios in the table? Reading a Graph All the ratios lie on line 4 .

Answers

Answer:

the answer is b

Step-by-step explanation:

literally it just said b i thought it was a number currently crying

Answer:

Yes it's b

edge

Step-by-step explanation:

Which CANNOT be used to prove that lines in and n are parallel?
A. 2 = 4
B. 4 is supplementary to 7.
C. 24 is supplementary to 5.
D. 1 = 5


Answers

C.24 is supplementary to 7

Vector Calculus

A particle of mass m move along the path σ(t)={t^2,sin t, cos t} Calculate the force acting on the particle t=0.

Answers

It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.

σ(t) = {t ², sin(t ), cos(t )}

σ'(t) = {2t, cos(t ), -sin(t )}

σ''(t) = {2, -sin(t ), -cos(t )}

When t = 0, the acceleration on the particle is

σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}

Then the force acting on the particle at time t = 0 is

F = {2m, 0, -m}

by Newton's second law.

In Exercises 1-3, graph AABC and its image after a reflection in the given line.
1. A(0, 2), B(1, -3), C(2, 4); x-axis
1.
2. A(-2,-4), B(6,2), C(3. – 5); y-axis
3. A(4, -1), B(3, 8), C(-1, 1); y = -2

Answers

Answer:

1. Point A: (0, 2)

Point B: (-1, -3)

Point C: (-2, 4)

2. Point A: (-2, 4)

Point B: (6, -2)

Point C: (3, 5)

3. Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

1.

Reflection of point A:

Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.

In this case, 0 does not need to change since it already lies on the x-axis.

The coordinate for A will stay the same as (0, 2).

Reflection of point B:

Again, change the x-coordinate to negative.

1 → -1

The coordinate for B will now be (-1, -3).

Reflection of point C:

2 → -2

The coordinate for C will now be (-2, -4).

2.

Reflection of point A:

Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.

In this case, -4 would change to just 4.

The coordinate for A will stay the same as (2, 4).

Reflection of point B:

Again, change the y-coordinate to negative.

2 → -2

The coordinate for B will now be (6, -2).

Reflection of point C:

-5 → 5

The coordinate for C will now be (-1, 5).

3.

This is going to be a bit harder than the previous two, but I know you can handle it. :)

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.

Hope this helped!

The graph of  Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.

What is reflection about?

A reflection over line is known to be a kind of  transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.

Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.

Therefore to be able to construct the graph of  Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and  A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.

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Milo pays $3 per pound for dog food at Pat’s Pet Palace. The graph below represents the cost per pound of food at Mark’s Mutt Market. At which store will Milo pay a lower price per pound for dog food?

Answers

where’s the graph ? I think you’ll need to show the graph in order for us to help you

just solve these 2 its prob easy i just too lazy to even try or think at the moment, want to go to bed...​

Answers

Answer:

The correct option is 'No Solution'.

Step-by-step explanation:

Given the system of the equations

[tex]y=\frac{1}{2}x-1[/tex]

[tex]2x-4y=12[/tex]

solving the system of the equations

[tex]\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{1}{2}x-1[/tex]

[tex]\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}[/tex]

[tex]2x-4\left(\frac{1}{2}x-1\right)=12[/tex]

[tex]2x-2x+4=12[/tex]

[tex]4=12[/tex]

as

4=12 is false, therefore the system of equations has no solution.

Therefore, the correct option is 'No Solution'.

Trenton and Maria record how much dry food their pets eat on average each day.• Trenton’s pet: 4/5 cup of dry food• Maria’s pet: 1.25 cups of dry food. Based on these averages, how many more cups of dry food will Maria’s pet have eaten than Trenton’s pet will have eaten over 2 seven-day weeks? *

1

Answers

Answer:

9/20

Step-by-step explanation:

so since trentons pet eats 4/5 of the food each day and marias eats 1.25 each day so we cant put 4/5 and 1.25 to see wat the awnser is so we make 1.25 a fraction 1 1/4 but the demoninators arent the same so what we do is make them the same so i multiply 4x5 and get 20 that is out new denominator and 4x4 is 16 so the 4/5 is now 16/20 and the 1 1/4 is 1 5/20 then subtract but since we have a whole number we subtract that first but they dont go together but we do it anyway and get 4 left over we put the 4 into the 5/20 and get 9/20 and thers ur awnser

Please help youll get brainliest

Answers

8h + 12h >144 is the answer have a great day
The guy on top of me said it

If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?

Answers

10 of 200 will not so 190 will produce fruit

Answer:

Step-by-step explanation:

If 1 /20  will not bear fruit then

  19/20.  Will bear fruit

use ratio method

19/20  = x/200

find x by finding an equivalent fraction

x = 190

190 plants will produce fruit

Pls can y’all tell me how many points will Tessa have scored in all ?

Answers

Answer: 48 points

Step-by-step explanation:

i hope this helps

24 x 2 =48 So the Answer is 48 :)

what is one hundredth less than 0.549

Answers

Answer:

0.449

Step-by-step explanation:

one hundreth is this 0.100 so if u take that away from 0.549 u get 449

A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in. How tall is the bamboo now ?
bamboo has grown 5 ft 12 in. How tall is the bamboo now?

Answers

Answer:

16 feet and 7 inches

Step-by-step explanation:

To find how tall the bamboo is now, first add the number of feet together:

10 + 5

= 15

Then, add the inches:

7 + 12

= 19

This can be converted to 1 foot and 7 inches.

Then, add 15 to this:

= 16 feet and 7 inches

So, the bamboo is now 16 feet and 7 inches tall

The current height of the bamboo is given as 16 feet 7 inches tall.

Given that,
A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in.

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,

Here,
4 weeks ago the height of the bamboo = 10 ft 7 in
It increase by 5 ft 12 or 6 ft since then
Current height  = 10.7 + 6 = 16.7 or 16 ft 7 in

Thus, the current height of the bamboo is given as 16 feet 7 inches tall.

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A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?

Answers

Answer:

The y intercept is 200

Step-by-step explanation:

Given

Base Cost = 200

Per person =8

Required

Determine the y intercept

First, we need to determine the equation.

The total amount (y) for x persons can be calculated using:

y = Base Cost + Amount per person * x.

This gives

y = 200 + 8 * x

y = 200 + 8x

The general expression of a linear equation is:

y = mx + b

Where b = y intercept

By comparison,

b = 200

Hence, the y intercept is 200

need to know how to find the area of this figuer​

Answers

The answer is 12 m.

How to solve:

First find out the height of the bottom square, which is done by doing 3 x 3 which gives you 9

Next find out the height of the triangle by doing 5 - 3 which gives you 2

Find out the area of the triangle by doing 2 x 3 which gives you 6. 6 is not the area of one triangle but of two of them as a square. You need to divide 6 by 2 in order to find out the area of the triangle. This gives you 3.

3 + 9 = 12

solve
[tex]2x + 5 = 12[/tex]


Answers

Answer:

x=3.5

Step-by-step explanation:

subract 5 on the other side, than divide by 2

f(x) = |3x+5| + 6

g(x) =7

find (f+g) (x)

Answers

Answer:

(f + g)(x) = |3x + 5| + 13

Step-by-step explanation:

Given

f(x) = |3x + 5| + 6

g(x) = 7

Required

Find (f + g)(x)

In functions

(f + g)(x) = f(x) + g(x)

Meaning that, we simply add the given functions together

So, we have that:

(f + g)(x) = |3x + 5| + 6 + 7

(f + g)(x) = |3x + 5| + 13

Hence, (f + g)(x) when calculated equals |3x + 5| + 13

PLEASE HELP!! MARKING BRAINLIEST. Which of the following is NOT equivalent to 100 to 200?
A 1 to 2
B 50 to 100
C200 to 400
D 20 to 60

Answers

Answer: D- 20 to 60

I know this because the others are all equivalent to 1 to 2 but 20 to 60 simplified is 1 to 3

help me please I need help :((((((

Answers

Flour: 2 3/4 cups = 11/4

11/4 * 2 = 22/4 = 5 2/4 cups

Sugar: 1 1/2 cups = 3/2

3/2 = 6/4 = 1 2/4 cups

1 2/4 * 2 = 3 cups

So it *should* be 8 1/2 cups.


Tracy found the length of GF. Her work is shown below.

Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A E, B F, and C D. The length of line segment A G is 16, the length of line segment G E is 2 x, and the length of line segment B G is 8 x.

16 = 2(2x)
16 = 4x; x = 4
8(4) = 32
GF = 2(32)
GF = 64
What error did Tracy make?

She used AG = 2EG, but the correct statement is 2AG = GE.
She found that x = 4, but the correct value for x is 2.
She used GF = 2BG, but the correct statement is BG = 2GF.
She found that GF = 64, but the correct value of GF is 8.

Answers

Answer:

C: She used GF=2BG, but the correct statement is BG=2GF

Step-by-step explanation:

Hope this helps, have a marvelous day!!!!!

Answer:

c

Step-by-step explanation:

Say hey certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at and average annual rate of 1.7 thousand jobs per year from 2008 to 2018. Assuming this holds true, what will be this industry’s percent change from 2008 to 2018?
a. 70%
b. -27%
c. -17%
d. -75%

Answers

D because it is a decline and they are loosing 75% of their jobs
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