Keesha bought 11 binders and notebooks
from the store and spent $45. Binders cost
$6 each and notebooks cost $2.50 each. Which
two equations can be used to find the number
of binders, b, and notebooks, 11, she purchased?

Answers

Answer 1

Answer:

sssssssss

Step-by-step explanation:

Given,

Keesha bought = x binder.

Let Keesha bought (11-x) notebook.

Total money spent = $45

Cost of each binder = $ 6

Cost of each notebook = $ 2.50

Now,

Equation

$ 6 × x + $ 2.50 × (11-x) = $ 45

$ 6 x + $27.5 - $ 2.50 x= $ 45

$ 3.50 x = $ 17.5

x = 5

Number of binder = 5.

Number of cover = 11-5 = 6.

Answer 2

Final answer:

The two equations to determine the number of binders (b) and notebooks (n) Keesha purchased are: b + n = 11 and 6b + 2.50n = 45. These equations are based on the total number of items and the total cost of the items.

Explanation:

To determine the number of binders and notebooks Keesha purchased, we need to set up two equations based on the given information. The first equation will represent the total number of items purchased, and the second will represent the total cost of those items.

Equation 1 (total number of items):
b + n = 11

Equation 2 (total cost):
$6 × b + $2.50 × n = $45

In the above equations, b represents the number of binders and n represents the number of notebooks. These two equations can be used to solve for the variables b and n using methods such as substitution or elimination.


Related Questions

quadratic formula 2x^2+7x-15=0

Answers

Answer:

Step-by-step explanation:

I hope this was what you were looking for. Have a nice day!

Answer:

x= 3 /2 , x=−5

(2x−3)(x+5)=0

Step 2: Set factors equal to 0.

2x−3=0 or x+5=0

The layers of a rectangular prism are shown below.

Answers

Answer:

18 Cubic cm

Step-by-step explanation:

Count all of the squares granted one cube = 1 cm^3, there are 18 cubes so it would be 18cm^3

Which angles are supplementary to eachother

Answers

Answer:

14 and 15

Step-by-step explanation:

Avery earned $68 at her job when she worked for 8 hours. What was her hourly pay rate in dollars per hour? Express your answer in simplest form.

Answers

Answer:

$8.5

Step-by-step explanation:

divide 68.00 by 8

It takes 8 hours for 4 men to paint a room.
How many men would be needed to paint the room in 2 hours?

Answers

Answer:

16 men would be needed to paint the room in 2 hours

Step-by-step explanation:

We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.

If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.

We are going to arrange the data inversely.

Let x be the number of men needed to paint the room in two hours

8 hours =  2 hours

    x        = 4 men

Cross-multiply

2×x = 8×4

2x = 32

Divide both-side of the equation by 2

2x/2 = 32/2

x = 16 men

16 men would be needed to paint the room in 2 hours

Leah wants to see a castle in an amusement park. She sites the top of the castle at an angle of elevation of 45°. If she knows the castle is $160 from her how tall is the castle prom at her level of vision?

Answers

Answer:

x=236 feet

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x=2

Step-by-step explanation:

We will use the secant-secant Formula:

(whole secant) x (external part) =         (whole secant) x (external part)

(1+x+4) * (x+4) = (11+x+1) * (x+1)

Combine like terms

(x+5) (x+4) = (x+12) (x+1)

FOIL

x^2 + 4x+5x + 20 = x^2 +  x+ 12x + 12

Combine like terms

x^2 + 9 x + 20 = x^2 + 13 x + 12

Bring everything to the left

x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)

x^2 + 9 x + 20- (x^2 + 13 x + 12) =0

Distribute the minus sign

x^2 + 9 x + 20- x^2 - 13 x - 12 =0

Combine like terms

-4x +8 = 0

Subtract 8 from each side

-4x+8-8=0-8

-4x=-8

Divide each side by -4

-4x/-4 = -8/-4

x=2

Jameson has $4,300 in credit card debt with 14% interest that he wants to pay off in 24 months. He will need to make monthly payments of $206.46 each month. Calculate the total cost of repayment and the interest Jameson will pay.

Answers

Answer:

The answer to this question can be defined as follows:

net paid interest = $ 655. 04

Total cost = $ 4955.04

Step-by-step explanation:

Given values:

loan amount = $ 4,300

monthly payment = $ 206.46

interest rate = 14 %

Time = 2 years

Solution:

yearly payment = one month amount × 12

1 year payment = $ 206.46 × 12

1 year payment =  $2477.52

because Time is 2 year then payment is = $2477.52 *2

2 year payment = $ 4955.04

net interest paid  = total payment - loan amount

                            = $ 4955.04 - $4300

                            = $ 655.04

total  cost = $ 4955.04

net paid interest = $ 655.04

The total cost of repayment and the interest should be $4,955.04 and $655.04.

Calculation of the total cost and interest:

Since

loan amount = $ 4,300

monthly payment = $ 206.46

interest rate = 14 %

Time = 2 years

Now

yearly payment = one month amount × 12

So,

= $ 206.46 × 12

=  $2477.52

Now the two year payment should be

= $2477.52 *2

= $ 4955.04

Now

net interest paid  = total payment - loan amount

= $ 4955.04 - $4300

= $ 655.04

hence, The total cost of repayment and the interest should be $4,955.04 and $655.04.

Learn more about interest here: https://brainly.com/question/24307706

Can you guys create your own system of equations word problem, define the variable, write an equation, then solve it and make a sentence explanation on why you did what you chose

Thanks will give brainliest

Answers

Answer:

Using a system of equations, however, allows me to use two different variables for the two different unknowns.

number of adults: a

number of children: c

With these variables, I can create equations for the totals they've given me:

total number: a + c = 2200

total income: 4a + 1.5c = 5050

Now I can solve the system for the number of adults and the number of children. I will solve the first equation for one of the variables, and then substitute the result into the other equation:

a = 2200 – c

4(2200 – c) + 1.5c = 5050

8800 – 4c + 1.5c = 5050

8800 – 2.5c = 5050

–2.5c = –3750

c = 1500

Now I can back-solve for the value of the other variable:

a = 2200 – (1500) = 700

I have values for my two variables. I can look back at my definitions for the variables to interpret these values. To answer the original question, there were:

1500 children and 700 adults.

Final answer:

A word problem involving two people and their apples, where Alice has twice as many apples as Bob. The variables are defined, the equation is written, and the solution is found.

Explanation:

Word Problem:

Alice has twice as many apples as Bob. Together, they have 15 apples. Define the variable 'x' as the number of apples Bob has.

Equation:

Alice's apples: 2x

Bob's apples: x

2x + x = 15

Solution:

Combining like terms: 3x = 15

Dividing both sides by 3: x = 5

Sentence Explanation:

We defined the variable 'x' as the number of apples Bob has. Since Alice has twice as many apples, we expressed her number of apples as 2x. The total number of apples they have together is 15, so we created an equation by summing up both Alice's and Bob's apples. By solving for 'x', we found that Bob has 5 apples.

what is the perimeter of this tile 4in 1in

Answers

Answer:

10 inches

Step-by-step explanation:

Assuming a rectangular tile

P = 2(l+w) where l is the length and w is the width

P = 2(1+4)

   = 2(5)

   = 10 inches

Answer:

10 in

Step-by-step explanation:

Find the value of z.

Answers

Answer:

[tex]60 \: degrees[/tex]

Step-by-step explanation:

[tex]180(n - 2)[/tex]

you have to put the number of sides for n

[tex]180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720[/tex]

720 is the sum of interior angles. so to find the value of an angle you have to divide 720 by the number of angles.

[tex] \frac{720}{6} = 120 \: \: degrees[/tex]

we know that,

interior angle + exterior angle = 180 degrees

[tex]120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

find the percentage of 25 cents of $2.00​

Answers

Answer:

[tex]12.5%[/tex]%

Step-by-step explanation:

[tex]\frac{25}{200}[/tex] is simplified to [tex]\frac{1}{8}[/tex], which in "perfect form," is [tex]12.5%[/tex]%

Answer:

12.5%

Step-by-step explanation:

$2 = 200c

200c ........ 100%

25c ................x%

x = 25×100/200

= 25/2

= 12.5%

Find the surface area of the cube shown below.

Answers

Answer:

37.5 or 37 1/2

Step-by-step explanation:

The formula for finding surface area in a cube is A=6a^2

substituting 2.5 instead of a will result in this equation. A=6(2.5)^2

solving algebraically will then get you to your answer of 37.5

Answer:

S.A. = 37.5

Step-by-step explanation:

Each cube has six faces. All faces are congruent and each of them is a square.

The fromula of an area of a square is:

[tex]A=s^2[/tex]

s - length of a side of a square

We have

[tex]s=2\dfrac{1}{2}[/tex]

Convert it to a decimal

[tex]s=2\dfrac{1}{2}=2.5[/tex]

Substitute to the formula of an area of a square:

[tex]A=(2.5)^2=(2.5)(2.5)=6.25[/tex]

The Surface Area of a cube:

[tex]S.A.=6A[/tex]

Substitute:

[tex]S.A.=6\cdot6.25=37.5[/tex]

Montel spends $ 0.75 each time he plays his favorite video game. If you have $ 10, write and solve an inequality to calculate how many video games you can play.

Brainliest and 25 points

Answers

Answer:

Inequality=0.75x∠10   Answer=13 or less

Step-by-step explanation:

Answer:

y=.75x (13 Times)

Step-by-step explanation:

y is the amount it will cost Montel to play the video game x amount of times, if Montel plays the game 2 times, 2x.75 is $1.50 so it would cost him $1.50 to play the game 2 times. However, we want to find how many times he can play with a $10 budget, so we must enter $10 as y and divide by .75 and we should get 13.33333. This means Montel will be able to play 13 times and will have 25 cents left over because 13 x .75 is $9.75

how many ounces are in 3 pounds

Answers

Answer:

48

Step-by-step explanation:

16*3

16 oz in a pound

48 ounces
explanation :

PLEASE HELP!!! exchange for my snpcht
A game show host offers to give you one penny on the first day, 2 pennies on the second day, 4 pennies the third day, and so on for the next 25 days.
Is this geometric or arithmetic?
How much money will you have at the end of the 25 days?

Answers

Answer:

it's geometric

Step-by-step explanation:

geometric equations change by a rate witch means you multiply to get to the next number in the sequence

arithmetic you add to get to the next number in the sequence

Answer:

Geometric

$335,544.31

Step-by-step explanation:

1, 2, 4, ..

This is Geometric progression with:

First term: 1

Common ratio: 4/2 = 2

S25 = 1(2²⁵-1)/(2-1) = 33,554,431

33,554,431 pennies or

33,554,431/100 = $335544.31

Suppose a soup can has a diameter of 10cm and a height of 12cm what is the volume of the soup in the can

Answers

Answer: 942.48 [tex]Units ^{3}[/tex]

Step-by-step explanation:

First we find the area of the base (the circle) the formula for that is [tex]\pi r^{2}[/tex]

the radius is 5 because it is half the diameter.

so our base is 78.54

then we multiply that by the height

so 78.54 times 12 = 942.48

1/6 6% 3/5 60% 6/100 which two values are equivalent to 0.6

Answers

Answer:

3/5 and 60%

Step-by-step explanation:

60% = 60/100= 3/5 =0.6

The two values which are equivalent to 0.6 are;

⇒ 3/5 , 60%

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The numbers are,

⇒ 1/6 , 6%, 3/5, 6/100

Now,

Solve the numbers for the values are equivalent to 0.6 as;

A. 1/6 = 0.16

B. 6% = 6/100

         = 0.06

C. 3/5 = 0.6

D. 60% = 60/100

            = 0.6

E. 6/100 = 0.06

Thus, The two values which are equivalent to 0.6 are;

⇒ 3/5 , 60%

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

please help me find the distance between the point (2,5) and (5,9)​

Answers

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (5, 9)

d = [tex]\sqrt{(5-2)^2+(9-5)^2}[/tex]

   = [tex]\sqrt{3^2+4^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5

A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag?

Answers

How about 65% is the answer

Answer is 6/25

because you have to add all the marbles wich will be:

four yellow marbles, six red marbles, five blue marbles, six white marbles, six white marbles

4 + 6 + 5 + 6 + 4 = 25

so there is 6 white marbles and a total of 25 marbles so it will be 6/25

have a nice day!

also can you please give me brainliest :)

Do the following angle measures make a triangle: 88°, 16°, 65°?

Answers

No

The angles you listed add up to 169° which does NOT make a triangle. Triangles have 180°.

Line segment BD is a diameter of circle E.

Circle E is inscribed with triangle B C D. LIne segment B D is a diameter. Line segments D C and C B are secants. Angle D B C is 51 degrees.
What is the measure of arc B C?

39°
78°
102°
129°

Answers

Answer:

78 degrees

Step-by-step explanation:

Mainly because the measure of the arcs intercepted by the interior angles equals 2 times those interior angles.

so arc DC =  2 * angle DBC = 2 * 51 degrees = 102 degrees.

We also see that because BD is a diameter the angle  BCD that intercepts it is 90 degrees because   half-circle arc BD = 2 * angle BCD

180 degrees = 2 * angle BCD

also we want arc BC.

we know that the total circle is the sum of all 3 arcs.

arc BC + (half-circle) arc BD + arc DC = 360 degrees

arc BC + 180  + 102 = 360 degrees.

arc BC =  360 - 180 - 102 = 78 degrees

What is the surface area?

Answers

Answer:

416 square yards

Step-by-step explanation:

The formula for the surface area of the 2 bases is just b*h

12*8=96 yd²

Finding the lateral area:

(10*10)+(10*10)+(12*10)=

100+100+120=

320 yd²

Add the lateral surface area and the surface area of the 2 bases for the total surface area:

320+96=416 yd²

Deanna gets 3 problems incorrect on her math quiz and scores 85%. How many questions were on the quiz?

Answers

Answer:

There were 20 questions on the quiz

Step-by-step explanation:

In this question, we are concerned with knowing the number of questions on a quiz, given that Deana had a certain percentage after scoring an amount of marks.

We proceed as follows;

Let the number of questions on the quiz be X.

Now, she got 85% by making 3 incorrect choices. This means the percentage of questions she got incorrectly would be 100-85 = 15%

what we are saying is that it is just 15% of her questions that were wrong.

This mathematically;

15% of x = 3

15/100 * x = 3

15x = 3 * 100

15x = 300

x = 300/15

x = 20

Help pls
Slope from graph

Answers

i’m pretty sure the slope is 7/4

Sally likes to collect coins.Sally got 37 coins from her brother 21 coins from her month era as well 22 coins from Benny however sally lost 32 coins before putting those coins into her piggy bank how many coins does sally have in her piggy bank

Answers

Answer: Sally has 48 in her piggy bank

Step-by-step explanation:

Hi, to answer this question, first, we have to add the coins given to Sally:

37 +21 +22 = 80

Since she lost 32 coins before putting those coins into her piggy bank, we have to subtract that number to the total number of coins collected.

80-32 = 48 coins

Sally has 48 in her piggy bank

Feel free to ask for more if needed or if you did not understand something.  

What is the area of a regular hexagon with the radius of 8?

Answers

Answer:

The regular hexagon is made up of 6 equilateral triangles. Each has a side of 8 ft (the radius) Each area =8^2/4 sqrt 3 =16 sqrt 3 The hexagon's area =96sqrt3 sq ft

Step-by-step explanation:

Sunita creates a scale model of an aeroplane. The scale of the model is 5 cm to 13 m. Sunita's model has a wingspan of 24 cm. What is the wingspan of the real aeroplane?

Answers

To find the wingspan of the real aeroplane, we use the scale of 5 cm to 13 m and set up a proportion comparing the model's wingspan of 24 cm with the real wingspan, which results in a real wingspan of 62.4 m.

Sunita's scale model of an aeroplane has a wingspan of 24 cm, and the scale used is 5 cm to 13 m. To find the wingspan of the real aeroplane, we set up a proportion where 5 cm on the model represents 13 m in reality. The ratio would be:

Model scale: 5 cm

Real scale: 13 m = 1300 cm (since 1 m = 100 cm)

Now we find the corresponding real-life measurement for the 24 cm wingspan on the model:

(5 cm / 1300 cm) = (24 cm / Wingspan in cm)

To solve for the real wingspan, we cross-multiply and divide:

5 cm * Wingspan in cm = 1300 cm * 24 cm

Wingspan in cm = (1300 cm * 24 cm) / 5 cm

Wingspan in cm = 31,200 cm / 5 cm

Wingspan in cm = 6,240 cm

Converting back to meters (divide by 100 since 1 m = 100 cm):

Wingspan in m = 6,240 cm / 100 = 62.4 m

Jerome solved the equation 1

3

x + 5

6

= 1 as shown.


1. Subtraction property

of equality: 1

3

x + 5

6

− 5

6

= 1

1

− 5

6

2. LCD: 1

3

x = 1

6

− 5

6

3. Multiply by the

reciprocal: ( 3

1

) 1

3

x = −4

6

( 3

1

)

4. Solve and simplify: x = −12

6

= −2

Analyze Jerome’s steps. In which step did he make an error?

In step 1, he needed to add StartFraction 5 Over 6 EndFraction to both sides of the equation.

In step 2, the LCD was not used correctly to make equivalent fractions.

In step 3, the correct reciprocal was not multiplied to both sides.

In step 4, the answer was not reduced correctly.

Answers

Answer:

B (second option)

Step-by-step  step 2, the LCD was not used correctly to make equivalent fractions.

Answer:

the answer is b

Step-by-step explanation:

got it right

what is the value of p
13²=p

Answers

169 because 13 x 13 = 168

Answer:

169

Step-by-step explanation:

13 to the 2nd power is 169

hope this helps!!

p.s. could you please help me with my recent question??

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