A grocery store has small bags of apples for 5$ and large bags of apples for 8$. If you buy 6 bags of apples and spend 45$, how many of each bags did you buy?

Answers

Answer 1

Answer:

He bought 1 small bag and 6 large bags.

Step-by-step explanation:

We can set up 2 equations with the given information.

5x+8y=45

x+y=6

We can rearrange the second equation to solve for x.

x=6-y

Now we substitute x for 6-y in the first equation

5(6-y)+8y=45

30-5y+8y=45

30+3y=45

y+10=15

y=5

x=1

He bought 1 small bag and 6 large bags.


Related Questions

what is the solution of the follow inequality-3x+3> or equal to 9

Answers

Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

I am thinking of two numbers, the sum of the two numbers is 11, their product is 24. What Are My Numbers?
Blank 1:
Blank 2:

Answers

Answer:

Hey there!

x+y=11

xy=24

The numbers are 8 and 3.

8 times 3 = 24

8+3=11

Hope this helps :)

Answer: 3 and  8

Step-by-step explanation:

T is between points P and B.

PB=35 and TB=12.

What is PT?

A. 17
B. 12
C. 57
D. 23​

Answers

The answer is D.23, you subtract 12 from 35

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment PT is 23 units. The correct option is D.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that point T will lie between points P and B. Therefore, Point T is on the line segment PB. Therefore, it can be said  Thus, we can write,

PB = PT + TB

As given the length of PB is 35 units, the length of TB is 12 units,

35 units = PT + 12 units

35 units - 12 units = PT

PT = 23 units

Hence, the length of the line segment PT is 23 units.

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Which irrational number is represented by point D?

Answers

Answer:

182

Step-by-step explanation:

182= 13.49

162= 12.73

204= 14.28

221=14.87

The irrational number represented by point D is 182. The correct option is A.

What is an irrational number?

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The value on the number line 13.49 is equal to the square root of 182.

√182= 13.49

√162= 12.73

√204= 14.28

√221=14.87

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*PLEASE ANSWER , DIFFICULT QUESTION PLEASE* A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. This is a tree diagram that represents the probability of customers choosing the different snack and drink options. What is the probability of a passenger choosing chips and a soda? a.)25% b.) 33% c.) 50%

Answers

There’s only 6 possible combos, so chips and soda takes up 2 which is 2/6 which is 33 percent

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

What is probability?

In mathematics, probability is considered as the chances a specific situation or event occurs.

For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

For example,

if you throw a die, then the probability of getting 1 is 1/6.

Similarly, the probability of getting all the numbers from 2,3,4,5 and 6, one at a time is 1/6.

How to calculate the probability of two events happenning?

Calculate or identify the probability of each event happening.Multiply the probabilities of the events involved.What is the probability of Z event happnening?Probability that a person choses soda: 0.5Probability that a person choses chips: 0.5Now, let's multiply these probabilities:

Now,

Given that:

0.5 x 0.5

= 0.25

= 25% (0.25 x 100)

Hence,  the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

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Nifal earned 9$ for washing two cars .He recived $1 more for the second car.How much was he paid for washing each car?Which two numbers have a sum of 9$?

Answers

Answer:

Nifal received $ 4 for washing the first car.

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Step-by-step explanation:

The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:

[tex]x + y = 9[/tex]

[tex]y = x+1[/tex]

Then, by eliminating y:

[tex]x + (x+1) = 9[/tex]

[tex]2\cdot x + 1 = 9[/tex]

Now, let is clear [tex]x[/tex]:

[tex]2\cdot x = 8[/tex]

[tex]x = 4[/tex]

Nifal received $ 4 for washing the first car.

The earning for the second car is: ([tex]x = 4[/tex])

[tex]y = x +1[/tex]

[tex]y = 4 + 1[/tex]

[tex]y = 5[/tex]

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

What is the value of x in 4(x + 7) = 80

Answers

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4(x+7)=80[/tex]

First, divide everything by 4:

[tex](4(x+7))4=(80)/4[/tex]

Simplify:

[tex]x+7=20[/tex]

Subtract 7 from both sides:

[tex]x=13[/tex]

So our answer is 13 :)

The answer is 13 I believe

The function is for –9 < x < –7. The function is increasing for . The point lies on the graph of the function.

Answers

Answer: the function is constant , the function is increasing for -7< x < -3 , the point (-5,8) lies on the graph of the function.

Edgunity

Answer:

The function is  

✔ constant

for –9 < x < –7.

The function is increasing for  

✔ –7 < x < –3

.

The point  

✔ (–5, 8)

lies on the graph of the function.

Step-by-step explanation:

17n +5.4 - 3 = 64 solve.
HELP

Answers

Answer:

Hey there!

17n+5.4-3=64

17n+2.4=64

17m=61.6

m=3.623529...

Did you make a typo on the question?

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 48 N acts on a certain object, the acceleration of the object is 6 m\s2 If the acceleration of the object becomes 10 m/s2, what is the force

Answers

Answer:

80N

Step-by-step explanation:

F = ma (Newton's second law)

When F=48N, a = 6m/s2

--> m = F/a = 48/6 = 8 (kg)

When a = 10m/s2

--> F = ma = 8 . 10 = 80N

The hypotenuse of a
right triangle is 10 cm.

One of the side lengths is 8 cm.

What is the length of the other side?

Answers

Answer:

6 cm

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

let c = 10 cm  ,  b = 8 cm

plug in values

a² + 8² = 10²

a² = 10² - 8²

a = [tex]\sqrt{10^2 - 8^2}[/tex]

a = 6 cm

Answer:

6 cm

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that the hypotenuse of a right triangle will be [tex]a^2 + b^2[/tex], where a and b are the leg lengths.

Together, we get the formula [tex]a^2 + b^2 = c^2[/tex].

Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.

[tex]8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = \sqrt{36}\\\\b=6[/tex]

So the missing side is 6 cm long.

Hope this helped!

which expressions are equivalent to 2(a+3b)

Answers

Answer:

The answer to which expression is equivalent to 2(a+3b) is 2a+6b

Answer:Do you have a picture of the answers

Step-by-step explanation:

What is the value of x? leave your answer in simplest radical form.

Answers

Answer:

2 sqrt(5) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

2^2 +4^2 = x^2

4+16 = x^2

20 = x^2

Take the square root of each side

sqrt(20) = sqrt(x^2)

sqrt(4*5) = x

sqrt(4) sqrt(5) =x

2 sqrt(5) =x

what is answer to this −k+3k

Answers

Answer:

2k

Step-by-step explanation:

[tex] - k + 3k[/tex]

Add or subtract the numbers

[tex]2k[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ 2k}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - k + 3k}[/tex]

Collect like terms

⇒2k

Hope I helped!

Best regards! :D

If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 without using a protractor

Answers

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

[tex]Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}[/tex]

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

1. Find x if B is the midpoint of AC
AB = 14 and BC = 2x + 3.

Answers

Answer:

x = 5.5 units

Step-by-step explanation:

Since, B is the midpoint of AC.

[tex] \therefore \: AB = BC \\ 14 = 2x + 3 \\ 14 - 3 = 2x \\ 11 = 2x \\ x = \frac{11}{2} \\ x = 5.5 \: units \\ [/tex]

WILL MARK BRAINIEST. PLEASE HELP!!! question is below

Answers

Answer: -28/6

Step-by-step explanation:

6 ( n + 5 ) = 2

first, distribute "6(n+5)".

6n + 30 = 2

subtract 30 from both sides.

6n = -28

n = -28/6

n= - 14/3 that’s the answer

a tram moved downward 15 meters in 5 seconds at a constant rate. what was the change in the team's elevation each second?​

Answers

Answer:  3 meters downward per second

Step-by-step explanation:

If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.

15/5 =  3  

3 meters  per second

What is the value of the expression below when z=6 ?

Answers

Answer:

51

Step-by-step explanation:

[tex]z^{2}[/tex] + 3z - 3

36 + 18 - 3

51

if a car travels 400m in 20 seconds how fast is it going ​

Answers

Answer:

44.73 mph

Step-by-step explanation:

Answer:

20 meters per second

Step-by-step explanation:

400m/20s = 20 m/s

You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 228, find the numbers.

Answers

Hey there! I'm happy to help!

Let's call these numbers x and y and model the information we have.

x=1/5y

y-x=228 (we see that x is smaller than y in the first equation, so we put it second )

We see that x is equal to 1/5y. We can switch the x in the second equation with 1/5y and solve for y.

y-1/5y=228

4/5y=228

We divide both sides by 4/5.

y=285

We know that x is 1/5 of y, so we divide by 5.

285/5=57

x=57

So, our numbers are 57 and 285.

Have a wonderful day! :D

The 2 positive numbers are 285 and 57 and they have a difference of 228.

Equation

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the bigger positive number and y the smaller number. Hence:

y = (1/5)x   y - (1/5)x = 0     (1)

Also:

x - y = 228   (2)

Solving equation 1 and 2 simultaneously gives:

x = 285, y = 57

The 2 positive numbers are 285 and 57 and they have a difference of 228.

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Choose the equation that has the
value of the variable furthest from
0 on a number line.
A) -4w= -7
B) 2x=3
C) y-1=-8
D) -1=z+4

Answers

Answer:

  C)  y -1 = -8

Step-by-step explanation:

The solutions to the various equations are ...

  w = -7/-4 = 1.75 . . . . . divide by -4

  x = 3/2 = 1.50 . . . . . . .divide by 2

  y = -7 . . . . . . . . . . . . . .add 1

  z = 5 . . . . . . . . . . . . . . add 1

The value farthest from 0 is y = -7, corresponding to choice C.

Which statement best describes Janelle's conclusion? Her conclusion is incorrect because 2x + 10 is not equal to 3x – 5. Her conclusion is incorrect because the angles are not marked; therefore, no conclusion can be drawn. Her conclusion is correct because the value of x is 15. Her conclusion is correct because mAngleLKM + mAngleLKJ = mAngleMKJ.

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

9.7 x 10^3 in scientific notation

Answers

The answer to the question is 9,700.

a line segment has one endpoint at the origin (0,0) and one endpoint at (0,6). how long is this segment?

Answers

the segment is 6 units long
(6-0=6)

4/5 of the students in
both classes like
frosted flakes. While
1/10 prefer fruit loops.
How many more
students prefer frosted
flakes?

Answers

Answer:

4/5 - 1/10 = 8/10 - 1/10 = 7/10

Step-by-step explanation:

Answer:

The reason why "reposition its product" is the correct answer because Kellogg's is trying to reposition their product in order to make sales. Frosted Flakes was a big time thing for kids, due to the fact that advertisements involved children since Kellogg's target audience were children. Frosted Flakes were pretty much meant for children. Since the product was meant for children, Kellogg's left the people that actually buy the cereal--adults--out of the scene.

Kellogg's releasing advertisements of adults saying how much they loved Frosted Flakes allows viewers to have a thought of going to the store and getting some Frosted Flakes. With the advertisement, they're also trying to target adults because there are a lot of adults in this world, and if they can get adults to buy their product, then their sales will go big. Their goal for the advertisement is to get more sales for the Frosted Flakes product, and they're doing this by having a target audience of adults.

Step-by-step explanation:

If BG = 19+ 2w and GC = 5w + 4, then find the value of w.

Answers

Answer:

Step-by-step explanation:

5w + 4 = 2w + 19

3w + 4 = 19

3w = 15

w = 5

5x + 3y = -6
3x - 2y = 4

Answers

Answer:

(3x-2y)=-4(5x-3y)=-2

A United States senator from Maine wants to find out the opinion of Maine voters on issues concerning education. The office of the senator sends out a survey to state residents who have contacted the senator in the past year. Is this sampling method random? Explain

Answers

It may seem random, but it's heavily biased toward those who participate in politics. It leaves out people who have not contacted the senator. A better method would be to look at voter registration data, and send out surveys to random people on the list.

what is b in the equation b-8+2b=20

Answers

Answer:

b = 28/3 or 9.3

Step-by-step explanation:

b-8+2b=20

3b-8=20

3b=20+8

3b=28

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The stem plot shows the number of swimming laps completed by swim team members at a single practice.Row 1 has a 5 to the left of the bar and 7, 9 to the right. Row 2 has a 6 to the left of the bar and 1, 2, 3, 4 to the right. Row 3 has a 7 to the left of the bar and 6, 6 to the right. Row 4 has an 8 to the left of the bar and 2, 5, 9 to the right. Row 5 has a 9 to the left of the bar and no numbers to the right. Row 6 has a 10 to the left of the bar and no numbers to the right. Row 7 has an 11 to the left of the bar and no numbers to the right. Row 12 has a 12 to the left of the bar and a 5 to the right.Key: 5|9 = 59 swimming lapsWhich of the following is a correct statement about the distribution? Which of the following nations calls itself a republic but lacks many of the characteristics of a real republic?A. ChinaB. Canadac. EnglandD. The United States While Abbie is jogging, she moves forward 85 cm every second. How many seconds will Abbie take to jog 8.5 meters?Thank you very much !!!!!! :D Saul began preaching in Damascus that Jesus is the ______________ , the only time that term appears in Acts if one side of a square measures (3x - 8)ft., find the area of the square show work Segments AB and CD intersect to form an angle of 88.5 as shown. What is the measureof Two angles are supplementary. They are represented by (3x) and (12x+1). Find both angles. what is the social contract? John Locke Observations of modern mountain belts suggest that ranges erode at rates of 2 mm per 10 years. At this rate, how long would it take to erode the Himalayas down to sea level? To solve 2x+9=21, what is the first step? i need help with #6 Luke earns $11.00 per hour. He works 32 1/2hours per week. What is his weekly wage As a student of social psychology,as a muslims are we give respect and fundamental rights to non muslims?justify with logical argument.....marks 10,,,,briefly describe Solve for R. P=RC What is R equal to? 9.make decisions by going with their guts and being led byemotion. Three people are sitting on a bus. Bridget is directly behind Sophia and directly left of Alan. If Sophia and Bridget are 3 feet apart, and Alan and Sophia are 9 feet apart, what is the distance between Bridget and Alan? If necessary, round to the nearest tenth. Describe Southern reactions to the enactment of the Fugitive Slave Law and compare their reactions to those expressed by Northerners When standard direct labor hours differ from actual direct labor hours used, the company experienced a(n): Which statement describes the role of a mitochondrion in providing a body with energy? A B C D The Pueblo Revolt of 1680, also known as Pope'sRebellion, may be most closely compared topolitical revolutions by European-ruled colonies,such as America and India, for the right to selfgovernance.O the revolution of the American colonists who did notwant taxation without representation.strikes by workers protesting unsafe workingconditions and low wages, such as those during theAmerican Progressive Era.O revolts by African enslaved persons againstplantation owners in Brazil and Hispaniola forfreedom from slavery and cultural oppression.