A woman had $200. She went to a meatshop,
a bookstore and a drugstore. She spent four
times as much money at the meatshop as she
did at the drugstore. She spent $15 less at the
bookstore than at the drugstore. She then had
$5 left.
(a) Using $x to represent the amount she spent
at the drugstore, express in algebraic terms
(i) the amount she spent at the meatshop
(ii) the amount she spent at the bookshop
(b) Obtain an equation for the total amount
of money spent and hence calculate the
amount she spent at the drugstore.​

Step-by-step explanation:

[tex]a + 6 - 12 + 4 - 8 + 6 = 0 \\ a - 4 = 0 \\ a = 4[/tex]

Answer:

1/12

Step-by-step explanation:

if Mr.Tough can grade 1 in 12 hours he can do 1/12

The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20

A fraction is used to denote a portion or component of a whole. Numerator and denominator are the two components that make up a fraction. There are three types of fractions: proper, incorrect, and mixed.

Using, rate × time = work done

So, Mr Tough's rate:

Mr Tough's rate × 12 hours = final exam

Mr Tough's rate = 1/12

and, Mrs. Nice's' rate:

Mrs .Nice's' rate × 15 hours = final exam

Mrs .Nice's' rate = 1/15

So, Total time:

T(1/12 hours + 1/15 hours) = final exam

T =  final exam / (1/12 + 1/15)

T =  final exam / (0.15)

Now, 1 hour =  final exam / (0.15)

final exam = 1 × 0.15

                = 0.15

                = 15/ 100

                = 3/20

Therefore, 3/20 fraction of the final exam.

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Answer:

Jane

Step-by-step explanation:

Jane saved 33.333%

While

june saved 30%

Answer:

a = $33,500 at 6%

b = $4,000 at 5%

Detailed Answer:

37,500 = a + b

b = 37,500 - a

a = 37,500 - b

2,210 = a*6% + b*5%

2,210 = a*6% + 5%*(37,500 - a)

2,210 = a*6% - a*5% + 37,500*5%

2,210 = a*(6% - 5%) + 1,875

335 = a*( 6/100 - 5/100)

335 = a*( 1/100)

a = (335*100)/1

a = $33,500

b = 37500 - a

b = 37500 - 33500

b = 4000

Plug back in to check if the amounts invested at each rate equal $2210:

$2210 = a*6% + b*5%

$2210 = 33500*6% + 4000*5%

$2210 = $2010 + $200

$2210 = $2210

Answer:

2400 square feet

Step-by-step explanation:

20 x 20 = 400

400 x 6 = 2400

Hope that helps!

Answer:

Step-by-step explanation:

The blanks are -7 and 11

Answer:

-7 and 11

Step-by-step explanation:

Answer:

I think its -7

Step-by-step explanation:

djjdjejjd

Answer:

-7 is your answer

Step-by-step explanation:

2 × 3² - 5²=18-25=-7

Answer:

X = 9,X= -5, a =  2, b = -13

Step-by-step explanation:

For (1),

Using Cross-factorization,

it can be reduced to (X - 9)(X + 5) = 0

Equate each factor to 0:

we have X = 9 and X = -5

For (2),

It is the case of completing the Square,

add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)

(X^2 + 4X + 4) - 9

can be simplified to (X+2)^2 -9

However since we added 4 it means we have to subtract 4

So it becomes (X+2)^2 -9 -4

= (X+2)^2 -13

Answer:

-2/3

Step-by-step explanation:

(4, -1) and (-2, 3)

-1 +4 =3

4 - 6 = -2

-4/6 divided by 2/2 equals -2/3

The required interest rate on the Bakas loan for the piano is 9%.

Given that,
Baka borrows $3,000 to buy a piano. The simple interest owed at the end of 2 years is $540. what is the annual interest rate on Baka loan for the piano is to be determined.

When some apply for their money on something so that they can get higher value in returns of their money.

Here,
Simple interest = principal × rate × time / 100
Substitute value in the above equation,
540 = 3000  × rate × 2 / 100
Rate = 540 × 100 / 3000 × 2
Rate = 9%.

Thus, the required interest rate on the Bakas loan for the piano is 9%.

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Answer:

V = 488.25

Step-by-step explanation:

Formula:

V = whl

V = 10.5(15.5)(3)

V = 162.75(3)

V = 488.25

Answer:

Add up all the numbers and divide it by how many numbers there are.

14+19+13+22+7=75

75÷5 =15

Answer:

Hey! Finally found a question of yours!

Step-by-step explanation:

1. A=9

2. A=12

3. A=21

4. A=15

5. A=7

6. A=5

7. A=20.8

8. A=48

9. A=0.25

Answer:

I think he just wanted the answer so there isnt free 100 pts :/

Step-by-step explanation:

Answer:

just got robed out of 10 pts tho

Step-by-step explanation:

Answer: 2744

:)

Hope it’s right

The volume of a cube with a side length of 14 inches is 2744 cubic inches.

Side of the cube = 14 inches

The volume of a cube with side length a is a³.

So, the volume of a cube with a side length of 14=14³

The volume of a cube with a side length of 14=2744 cubic inches.

Hence, the volume of a cube with a side length of 14 inches is 2744 cubic inches.

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Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

Answer: Question 10 is c

Question 11 is c

Step-by-step explanation: Area of a circle is πr^2 so we know what the radius r is, it is 9.5 so we plug it in π(9.5)^2

Question 11 To get the radius from the diameter we need to know the half of the diameter which is 21=r

So we plug in 2πr is the equation for the circumference 2π(21) which then would be c

Answer: 4+x=11

Step-by-step explanation:

4+7=11

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

you need to double the recipe and add 1/2, because doubling gets you 48 and adding 1/2 gets you to 60 cookies.

rather than the given recipe, multiply the numbers by 2.5 (double and a half): 2.5c flour

1 2/3 c powdered sugar

1 1/2 c cornstarch

1 7/8 c butter

hope this helps!

Answer:

b 18

Step-by-step explanation:

From the given data: the right table arrangement is:  

 [tex]Actual \ Class[/tex]         [tex]\text{ Predicted Class 1}[/tex]                [tex]\text{Predicted Class 0}[/tex]

[tex]Class \ 1[/tex]                          18                                    11

[tex]Class \ 0[/tex]                           11                                   60

The True Positive is the number of current customers who were predicted to give references to a free back rub and who actually gave references to a free back rub.  

This number is given by the section in the segment relating to Predicted Class 1 and the line comparing to A[tex]Class \ 1[/tex]tual Class 1 which is 18.

Answer:

the  volume of the rectangular prism is 448.5 in^3

Step-by-step explanation:

The computation of the volume of the rectangular prism is shown below:

As we know that

The  volume of the rectangular prism is

= 7.8 × 11.5 × 5

= 448.5 in^3

It is basically multiplied with the height, width and the length

Hence, the  volume of the rectangular prism is 448.5 in^3

Answer:

.55 or 11/20

Step-by-step explanation:

multiply 2 3/4 by 1/5 to get the pounds of apples Sage uses.

Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.

A fraction with a mixed expression, also known as a complex fraction, has a fraction in either the numerator, the denominator, or both.

The box contains 2³/₄  pounds of apples, which can be written as a mixed number or an improper fraction:

2³/₄ = (2 × 4 + 3)/4 = 11/4

To find out how many pounds of apples Sage uses, we need to multiply the amount in the box by the fraction that represents the proportion of the box that Sage uses, which is 1/5:

(1/5) × (11/4) = (1 × 11)/(5 × 4) = 11/20

Therefore, Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.

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Answer:

its 3 3/4 or in decimal form 3.75

Step-by-step explanation:

15 divided by 4 gives you that answer

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