Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.

Answers

Answer 1

Answer:

10 peaches and 5 bananas

Step-by-step explanation:

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

Answer 2

Final answer:

To determine the number of bananas and peaches Samantha bought, we can set up a system of equations and solve for the variables. By using substitution, we find that Samantha bought 5 bananas and 10 peaches.

Explanation:

To determine the number of bananas and peaches that Samantha bought, we can set up a system of equations. Let x represent the number of bananas and y represent the number of peaches. From the given information, we know the cost of each banana is $0.40 and the cost of each peach is $0.50. We can write two equations to represent the total cost of the bananas and peaches:

$0.40x + $0.50y = $7 (equation 1)

x + y = 15 (equation 2)

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

From equation 2, we know that x = 15 - y. We can substitute this value of x into equation 1:

$0.40(15 - y) + $0.50y = $7

Simplifying the equation, we get:

$6 - $0.40y + $0.50y = $7

Combining like terms, we have:

$0.10y = $1

Dividing both sides by $0.10, we get:

y = 10

So, Samantha bought 10 peaches. Substituting this value of y back into equation 2, we can solve for x:

x + 10 = 15

Subtracting 10 from both sides, we get:

x = 5

Therefore, Samantha bought 5 bananas and 10 peaches.


Related Questions

please help its my 2nd time having to repost this question

Answers

What is the question??
Slope is a matter of counting the boxes. Slope is change in Y values / Change in X values. Rise / Run. Up / Over —— now knowing this, count the boxes that go up, and put that over the boxes that go across. I’ll do the yellow one with you. 3 up 2 over. That’s 3/2. Now do the same for the orange and you will see that the orange fraction simplifies to 3/2. That indicates that they are the same slope

The point (0,-4) is located [ANSWER]

Answers

Answer:

on the x-axis

Step-by-step explanation:

it is located on the x axis because it is not technically in any quandrant. it is however, on an axis.

Answer: Its located on the y-axis

Step-by-step explanation: any point where x is zero e.x (0,7) (0,3), is always going to go through the y-axis only

simplify 4(x−1)−3(2x−5)

Answers

Answer:

-2x+11

Step-by-step explanation:

multiply both terms by using the distributive property

It will be: 4x-4-6x+15

add like terms and the equation becomes

-2x+11

Answer:

-2x +11

Step-by-step explanation:

4(x−1)−3(2x−5)

Distribute

4x -4 -6x +15

Combine like terms

4x-6x -4 +15

-2x +11

What does 1+4c=7+2c equal

Answers

Answer:

c=3

Step-by-step explanation:

First simplify like terms.

1+4c=7+2c

1+2c=7 (subtract 2c from both sides)

2c=6 (subtract 1 from both sides)

c=3 (divide by 2)

CHECK:

1+4(3)=7+2(3)

1+12=7+6

13=13

Yes!

Answer: [tex]c=3[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation:

[tex]4c+1=2c+7[/tex]

Step 2: Subtract 2c from both sides:

[tex]4c+1-2c=2c+7-2c[/tex]

[tex]2c+1=7[/tex]

Step 3: Subtract 1 from both sides.:

[tex]2c+1-1=7-1[/tex]

[tex]2c=6[/tex]

Step 4: Divide both sides by 2:

[tex]2c/2=6/2[/tex]

Get your answer:

[tex]c=3[/tex]

Write each repeating decimal using bar notation.
5.313131
0.999
2.010101
26.993993

Answers

Answer:

1) 5.313131 put the bar over the first 31

2)0.999 put the bar over the first 9

3)2.010101 put the bar over the first 01

4)26.993993 put the bar over the first 993

Step-by-step explanation:

The queen had 300 servants. there were 10 more butlers than cooks. the number of cooks was twice the number of maids. how many maids worked at the queen palace?

Answers

300-10 =290
Divide 290 by 2 = 145

The no. of maids who worked at the queen's palace is 58.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The queen had 300 servants. there were 10 more butlers than cooks. The number of cooks was twice the number of maids.

Assuming the no. of maids to be 'x', therefore no. of cooks is 2x and the no. of butlers is (2x + 10).

∴ x + 2x + (2x + 10) = 300.

5x = 290.

x = 58.

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Area of circles

Susan designed a circular pool with a diameter of 25 meters. what is the area of the bottom of the pool? round to rhe nearest.

Answers

Step-by-step explanation:

Diameter of circle = 25 m

Therefore, radius of the circle = 12.5 m

[tex]area \: of \: bottom \: of \: pool \\ = \pi {r}^{2} \\ = 3.14 \times ( {12.5)}^{2} \\ = 3.14 \times 156.25 \\ = 490.625 \: {m}^{2} \\ \approx490.63 \: {m}^{2} [/tex]

Figure ABCD is reflected across the y-axis. What are the coordinates of A' , B' , C' , and D' ?

Answers

Answer:

Reflection in the y-axis maps:

(x,y) onto (-x,y)

x coordinate gets multiplied by -1,

y coordinate remains unchanged

What is the answer to 50% of $250

Answers

Answer:$125

Step-by-step explanation:

50% of 250

50/100 x 250

1/2 x 250=(1x250)/2=250/2=125

formula to find the following problem
what is the next number in the series 131 118 105 92 79

Answers

The answer is 56. Good luck!

Given the function y= 7x - 3 determine the y-intercept of the line.

Answers

я не знаююююююююбююбббб

The answer is -3 I hope that will help you

round 132,463,217 to the nearest hundred million

first person is brainliest

Answers

Answer:

100,000,000

Step-by-step explanation:

hope this helps

one large bag of takis cost $3.50 how many bags would you buy with $21.00?

Answers

Answer:

6

Step-by-step explanation:

21 divided by 3.50 is 6.

Answer:

6 bags of takis

Step-by-step explanation:

$21.00 / $3.50 = 6

please help. i don’t get this. explain and show work. will give lots of points and mark as brainliest!

Answers

Final answer:

The student didn't provide enough information to answer their question. The subject and specific problem were missing from the request. More context or further details are needed to give a correct and applicable tutorial response.

Explanation:

Unfortunately, your question did not provide enough information for me to provide a specific answer. The subject and the specific problem you want to explain have not been given. Please provide these details, and I would be more than happy to help you understand any academic problem you're facing, whether it's about Mathematics, English, History, Biology, Physics or any other subject.

Remember that it's always good to include as much information as possible - what particular concept do you struggle with? Is there a specific assignment question that troubles you? This will help tutors provide you with the most accurate, relevant, and helpful answer!

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You start driving north for 3 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straight line distance from your starting point?

Answers

The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

Where;

One leg =  a = 3 miles

Other leg = b = 4 miles

Hypotenuse = c

Using Pythagoras theorem;

[tex]a^2+b^2=c^2\\(3)^2+(4)^2=c^2\\9+16=c^2\\c^2=25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The straight line distance is 5 miles from starting point.

Answer:

5

Step-by-step explanation:

3[2]+4[2]=c[2]

9+16=c[2]

[tex]\sqrt{25}[/tex]=5

90 3/10% as a decimal

Answers

Answer:

90+3/10 over 100

Step-by-step explanation:

Hope this helped you

The Strike Zone Battling Center provides cages for baseball players to perfect their swing. The patron pays a fixed rate of $12.75 for the first 45 minutes, pay an additional $0.35 for up to two hours and $0.25 per minute for any additional time over two hours. The following function is used to compute the overall cost for a patron.

where x is the amount of time in minutes spent battling at the Strike Zone. How much would you pay for 115 minutes?

Answers

Final answer:

To calculate the cost for 115 minutes at the Strike Zone Battling Center, we account for the flat rate for the first 45 minutes and add the additional cost for the remaining 70 minutes at a rate of $0.35 per minute. We find that the total would be $37.25.

Explanation:

The cost calculation for using the cages at the Strike Zone Battling Center operates on a tier system. The first 45 minutes costs a flat rate of $12.75. If a patron uses it for additional time up to 2 hours (or 120 minutes), it's an extra $0.35 per minute. Anything over 2 hours is $0.25 per minute.

To calculate the cost for 115 minutes, we determine that it is less than 2 hours. Therefore, the cost will be the flat rate of $12.75 plus the additional cost for 70 minutes (which is 115 minutes minus the first 45 minutes) at $0.35.

The calculation goes as follows:
$12.75 + (70 * $0.35) = $12.75 + $24.50 = $37.25.

So, for 115 minutes, you would pay $37.25

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What are the five spheres

Answers

Atmosphere, hydrosphere, biosphere, crysophere and lithosphere

Which of the following best describes an unpredictable event?

Answers

The answer is B as you can predict every other answer given

The best option that describes an unpredictable event is the winner of a presidential election 10 years from now. Hence, option B is correct.

What is an event?

An event in probability theory is the result of a random event or a specified group of its results. Any subgroup of a sample space is another definition of an event because the sample space is the gathering of all potential results of a random experiment.

As per the given data in the question,

Unpredictable life occurrences are those that occur without warning and are typically unplanned.

So, the unpredictable event will be the winner of a presidential election 10 years from now. Because that is not known by anyone.

To know more about the event:

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If the length of a pool is 8 more than twice the width and the total area is 960 square feet, find the length and width of the rectangular landscape element.

Answers

Answer:

l=48, w=20

Step-by-step explanation:

Let the width of the pool be w feet, then the length will be:

[tex]l = 2w + 8[/tex]

The area of the pool is 960 square feet.

This means that:

[tex]w(2w + 8) = 960[/tex]

Expand and rewrite in standard form to get:

[tex]2 {w}^{2} + 8w - 960 = 0[/tex]

[tex] {w}^{2} + 4w - 480 = 0[/tex]

[tex]{w}^{2} + 24w - 20w- 480 = 0[/tex]

[tex]{w}(w+ 24) - 20(w + 24) = 0[/tex]

Factor to get:

[tex](w+ 24)(w - 20) = 0[/tex]

[tex]w = - 24 \: or \: w = 20[/tex]

We discard the negative value because magnitude is positive.

This means

[tex]l = 2 \times 20 + 8 = 48[/tex]

Which of the following is another way to express the equation 8 - (-) = 43?
8-d=43
-d + 8 = 43
-8+d=43
O8+ d=43

Answers

Question:

Which of the following is another way to express the equation 8 - (-d) = 43?

A.8-d=43

B.-d+8=43

C.-8+d=43

D.8+d=43

Answer:

8 + d = 43 is another way to express the given equation

Solution:

Consider the given equation

[tex]8 - (-d) = 43[/tex]

We have to find the another way to express the above equation

We know that,

We we multiply negative sign number by another negative sign number, then the result is positive sign number

Therefore from given,

[tex]-(-d) = -1 \times -d = d[/tex]

Thus the given equation becomes,

8 + d = 43

Thus option D is correct

Memphis and his 2 brothers each had 3/4 cup of pretzels for snack.

How many cups of pretzels did the boys have altogether?

Answers

Answer:.1 1\2

Step-by-step explanation:

Write the explicit formula for the geometric sequence

Answers

The formula [tex]3(4^{n-1})[/tex] represents the geometric sequence.

Step-by-step explanation:

Step 1:

The value of [tex]a_{n}[/tex] is dependent on the value of n.

So n is independent while [tex]a_{n}[/tex] is dependent on n i.e. the value of [tex]a_{n}[/tex]depends on the value of n.

Step 2:

We substitute the values of n in the functions to check which function satisfies the values of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = -4(3)^{n-1} = -4 (3^{3}) = -108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = 4(3)^{n-1} =-4 (3^{3}) = 108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(-4)^{n-1} = 3 (-4^{3}) = -192.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(4)^{n-1} = 3 (4^{3}) = 192.[/tex] This equals the value of [tex]a_{n}[/tex].

So the fourth formula represents the geometric sequence.

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Systems of Equations Word Problems Practice
1. Luis made a $150 bank deposit using $5 bills and $10 bills. He gave the teller a total of 24
bills. How many $10 bills were in the deposit?
1st equation:
2nd equation:
What did you have to multiply the first equation by, if anything?
What did you have to multiply the second equation by, if anything?
Answer:
cils Gabby bought a nens and Spencils

Answers

6 bills in the deposit were $10 bills.

Step-by-step explanation:

The total number of bills he gave the teller = 24 bills

x + y = 24 ------------(1)

Let,

x be the number of $5 bills.

y be the number of $10 bills.

The total bank deposit made using $5 and $10 bills are $150.

He deposits $5 bills and $10 bills. So, the equation can be framed as :

5x + 10y = 150 --------(2)

The question is asked for how many $10 bills were in the deposit,

Here 'y' is the number of $10 bills.

To solve for y value :

The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),

 5x + 5y = 120

-(5x + 10y = 150)

 -5y = -30      

⇒ y = 30/5

⇒ y = 6

Therefore, there were 6 bills in the deposit that are $10 bills.

I will mark brainliest if correct please answer fast I will give 10 points to the first person to answer

Answers

Answer:

The radius is 2.5 yards

The diameter is 5 yards

Step-by-step explanation:

We want to find the radius and diameter given that, the circumference of the circle is;

C=5π yards.

Recall that, the circumference of a circle is C=πd

This implies that:

[tex]5\pi = \pi \: d[/tex]

Divide both sides by π

[tex]5 = d[/tex]

To find the radius, divide the diameter by 2;

[tex]r = \frac{5}{2} = 2.5[/tex]

The radius is 2.5 yards

The diameter is 5 yards

marco wants to buy 2 books that cost 20$ each. He can save $5 a week. Draw siagrama and write equations to find how many weeks it will take hime to save enough money to buy the books.

Answers

Answer: He needs to wait 8 weeks.

Step-by-step explanation: 5•8 equals 40. 2 books, 20$ each and add them together, 40!

Final answer:

To determine the number of weeks Marco needs to save $40 to buy two books at $20 each, an equation can be set up based on his weekly savings of $5. Solving the equation 5 × w = $40 gives us w = 8, meaning Marco will need to save for 8 weeks.

Explanation:

The problem given is about Marco who wants to buy two books, each costing $20. He can save $5 a week. To calculate how many weeks it will take for Marco to save enough to buy the books, we can set up an equation. First, we need to determine the total cost of the books:

Cost of one book = $20Cost of two books = 2 × $20 = $40

Next, let’s set up our equation. If Marco saves $5 each week, the total amount saved after w weeks will be 5 × w. We want this to be equal to the total cost of the books, so our equation will be:

5 × w = $40

To solve for w, we divide both sides by 5:

w = $40 / 5

w = 8

Therefore, it will take Marco 8 weeks to save enough money to buy the two books.

Complete the parts in each step to find the area of each trapezoid?

Press on the picture to see it

Answers

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

[tex]$A=\frac{b_{1}+b_{2}}{2} \times h[/tex]

Step 2: Substitute the given values in the formula.

[tex]$A=\frac{7+3}{2} \times 4[/tex]

Step 3: Add 7 and 3.

[tex]$A=\frac{10}{2} \times 4[/tex]

Step 4: Divide 10 by 2, we get

[tex]A=5 \times 4[/tex]

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

The area of the trapezoid is 20 in².

Which system of equations has infinitely many solutions?

Answers

coinciding lines (equal lines)

Answer:

Which system of equations has infinitely many solutions? its the last option

Which of the following describes how to translate the graph y = 1xl to obtain the graph of y = lx - 11 - 1?
1)1 unit left and 1 unit down
2)1 unit left and 1 unit up
3)1 unit right and 1 unit down
4)1 unit right and 1 unit up
Please help

Answers

Answer:

3)1 unit right and 1 unit down

Step-by-step explanation:

The parent function is

[tex]y = |x| [/tex]

This is the base of the absolute value functions.

It has its vertex at the origin.

The transformed function is

[tex]y = |x - 1| - 1[/tex]

This absolute value function has its vertex at (1,-1).

This means the parent function has been shifted 1 unit right and 1 unit down to obtain the transformed function.

An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One of the prisms is shown here.

Find the surface area of the total exhibit.​

Answers

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base [tex]= 9[/tex] inches,

The width of the base [tex]=6[/tex] inches, and

The height of the exhibit [tex]= 3(17) = 51[/tex] inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

[tex]A=2(w l+h l+h w)[/tex]

By substituting the values, we get

[tex]A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.[/tex]

The surface area of the exhibit is 1,638 cubic inches.

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As we move on to the next assignment as quick as a flash, remember that despite the turnaround speed of our projects, we cant afford to shoot from the hip. We must stand our ground and remain the exception to the rule, producing promotions that are better than new and good to go. Last but not least, please save the date for our annual company BBQ on May 23. Which of the following are clichs included in the preceding message? Check all that apply. A. Stand our groundB. The exception to the ruleC. First and foremostD. Producing promotionsE. Better than newF. True to formG. Fit the billH. Easier said than doneI. Last but not least Two friends attribute their high math scores to their high level of effort and ability in math and their low Spanish scores to their teacher's subjective grading and favoritism. In this situation, these students are exhibiting: A) the actor-observer effect B) the hindsight bias C) scapegoating D) equity E) the self-serving bias White supremacy is the idea that white people are better than black people 1.the measure of the health and condition of the heart, lungs, muscles, and joints of an individualregular exercise2.the parts of the body that are related to the movement of bloodlimiting factors3.a plan in which a person chooses to exercise a certain number of times every weekcirculatory system4.the organs inside the body and how they function togetherphysical fitness5.a type of physical conditioning that lengthens the muscles and improves the movement of the jointsinternal system6.obstacles or difficulties that keep a person from accomplishing what he wants to, such as regular exerciseflexibility one half times (four plus eight) Compare the graphs of the inverse variations. y=1/x and y=2.5/x You and your friend each collect rocks and fossils. 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