Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?

Answers

Answer 1

Answer:  ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12


Related Questions

Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.². How many bags will he need?

Answers

Answer:

I don't know but 4 could be it

Step-by-step explanation:

Which value would make the inequality false? Inequality: a ≥ 18

33
17
21
19


Please help me

Answers

Answer: 17

Because it is less than 18

Making the equation false

Find the volume of the sphere. Use 3.14 for π. Round to the nearest hundredth.

Answers

Answer:

555.37

Step-by-step explanation:

V = 4/3 πr^3

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. 3x-2y=9 and x-y=5

Answers

Answer:

(-1,-6)

Step-by-step explanation:

Use substitution

y=x-5

3x-2(x-5)=9

3x-2x+10=9

x=-1

Plug it in

(-1)-y=5

-y=6

y=-6

BRAINLIST!!!

Rochelle heard on the radio that today's temperature is higher than it was yesterday. Yesterday's high temperature was reported as 73 °F.

Create an inequality on the number line of today's temperature.

Answers

Answer:

the inequality will be X > 73

Step-by-step explanation:

11/5=_÷_

PLEASE MY SISTER NEEDS HELP TODAY!!!!!!!!

And also will get brainliest if you tell me how.

Answers

Answer:

11/5 = 11 ÷ 5

Step-by-step explanation:

11/5 is a fraction, and every fraction is just a division problem.

Answer:

11/5=11÷5.

You just take the numbers from the fraction and put them into a division equation.

What number can 2 and -6 both be divided by?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

because both are even numbers

hope this helps (:

James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.

Answers

Answer:

James = £60, Ryan = £40 and Jill = £20

Step-by-step explanation:

James - 3, Ryan - 2 and Jill - 1

3 + 2 + 1 = 6

£120 / 6 = 20

Times 20 by each of the three numbers (3, 2 and 1)

3 x 20 = £60 (James)

2 x 20 = £40 (Ryan)

1 x 20 = £20 (Jill)

Answer:

James gets £60

Ryan gets £40

Jill gets £20

Step-by-step explanation:

Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20

All these should add up to your original sum and if they do you know you've done it right!

A truck covers a distance of 16 km in 30 minutes.
How much distance can it cover in 5 hours while
travelling at the same speed?

Answers

Answer:
Given:
A loaded truck covered 16 km in 25 minutes.
To find :
How far it can travel in 5 hours?
Solution :
Converting hours to minutes -1 hour = 60 minutes5 hours = 5 x 60 = 300 minutes5 hours = 300 minutes.
Finding the distance covered by truck in 5 hours -In 25 minutes it covered 16 km.
300 minutes = ?
km= 300 x 16 ÷ 25
=4800 ÷ 25
= 192

Answer:

260 km for 300 mins

Step-by-step explanation:

16 km in 30 mins (half an hour)

There are 300 minutes in 5 hours

16 km for 30 mins

32 km for 60 mins

48 km for 90 mins

64 km for 120 mins

80 km for 150 mins

96 km for 180 mins

112 km for 210 mins

128 km for 240 mins

144 km for 270 mins

160 km for 300 mins

( all you need to do is keep on adding 16 km and 30 mins until you get to 5 hours/300 mins)  

So the truck covers a distance of 260 km for 300 mins

Hope this helped!

Have a supercalifragilisticexpialidocious day!

12 + 5/3 b + 1 1 − 18 = 20

Answers

Answer: b = 9

Step-by-step explanation:

Given

12 + 5/3b + 11 - 18 = 20

Combine like terms

(12 + 11 - 18) + 5/3b = 20

5 + 5/3b = 20

Subtract 5 on both sides

5 + 5/3b - 5 = 20 - 5

5/3b = 15

Divide 5/3 on both sides

5/3b / (5/3) = 15 / (5/3)

b = 9

Hope this helps!! :)

Please let me know if you have any questions

410 is what percent of 65?

Answers

Answer:

15.85%

Step-by-step explanation:

you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.

Find the total surface area of the rectangular prism

Answers

The surface area of the rectangular prism is 782 square inches.
782 square prism how this helps

pleaseeeee help answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The measure of each exterior angle of a regular polygon is given by; Measure of each exterior angle =360°/n; where, n = number of sides of a polygon. One important property about exterior angles of a regular polygon is that, the sum of the measures of the exterior angles of a polygon is always 360°.

Answer:

160 degrees

I searched this up because I also have very little knowledge in these kinds of questions

What is the minimum value for the function shown in the graph?

Answers

Answer:

2.5

The lowest point on the graph, or the minimum is at f(x)= 2.5

The minimum value of the given periodic function is, 2.5

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A periodic function,

Period  = 3π

The value of the function is in the range of (2.5, 4.5)

So,

Maximum value = 4.5

Minimum value  = 2.5

Thus, the minimum value is 2.5

To know more about Functions check:

https://brainly.com/question/5975436

#SPJ6

Solve. 8 - 2d = c 4c + 3d = 2 c=4 d = -6 C=-4 d = 6 C=4 d = 6 C=-4 d = -6​

Answers

Answer:

c = -4    d = 6

Step-by-step explanation:

8 - 2d = c     4c + 3d = 2

                    4(8 - 2d) + 3d = 2

                     32 - 8d + 3d = 2

                     32 - 5d = 2

                          -5d = -30

                              d = 6

8 - 2(6) = c

8 - 12 = -4 = c

Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% simple interest annually, how big was the initial deposit?

a. $2,524.50
b. $4,024.03
c. $4,250.00
d. $11,404.88

Answers

Answer:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

P = 6774.5 / ( 1 + (0.027 × 22)) = 4250P = $4,250.00

The principal investment required to get a total amount, principal plus interest, of $6,774.50 from simple interest at a rate of 2.7% per year for 22 years is $4,250.00I do exams and quizzes if your interested!

The initial deposit amount is $4,250.00.

Given that,

The worth of an investment is $6774.50The time period is 22 years. The rate of interest is 2.7%.

Based on the above information, the calculation is as follows:

We know that

[tex]SI =P\times R\times T\\\\SI = P\times 2.7\% \times 22\\\\SI = 0.594P[/tex]

Now

Investment worth = P  + SI

= P + 0.594P

= 1.594P  

So,  

1.594P  = 6774.50

P  = $4,250  

Therefore we can conclude that the initial deposit amount is $4,250.00.

Learn more: brainly.com/question/13324776

(-4,-7); slope = 1
Write in slope intercept form

Answers

Answer:

y=x-3

Step-by-step explanation:

Given that
a
= 6 cm and
b
= 11 cm, work out
θ
rounded to 1 DP.

Answers

Not enough information in order to solve. Need to know where a and b are

Answer:

56.9°

Step-by-step explanation:

Assuming you mean a and b as the legs of a right triangle and θ as the bigger angle in a right triangle, we can work out easily that

cos θ = 6/11

so θ ≈ 56.9°(to 1 d.p.)

A rectangular prism as a width of x inches, a length of x^2y
inches, and a height of y^2
inches. Which expression represents the volume in cubic inches of this rectangular prism?

A. x^2 y^2
B. 4x^2 y^2
C. x^3 y^3
D. 4x^3 y^3

Answers

Answer:

C

Step-by-step explanation:

The volume of a rectangular prism is given by:

[tex]V=\ell wh[/tex]

The width is x, the length is x²y, and the height is y². Thus, the volume is:

[tex]V=(x)(x^2y)(y^2)[/tex]

Multiply:

[tex]V=x^3 y^3[/tex]

Our answer is C.

3x 1 1/2 enter as mixed number

Answers

Answer:

16 1/2

Step-by-step explanation:

3*11/2

=33/2

=16 1/2

The sum of the digits of a two-digit nunber is 7. When you reverse the digits of the original number the new number is 27 more than the orginal number. What is the value of the original number?

Answers

Answer:

25

Step-by-step explanation:

2+5=7

25 reversed is 52

52-25=27

Answer:

25

Step-by-step explanation:

2+5=7

25 reversed is 52

52-27=25

PLEASE HELP ME ASAP!!!!!!!!!!!!!

The question is attached

Answers

Answer:

A- 13

B- 13

C-37

Step-by-step explanation:

I wasn't going to answer but asap! Got me ^_________^

Btw please mark this as brainliest

A-13

B-13

C-37

I think hope it’s helpful

The equation y = 1125(1.034)" can be used to approximate the number of cell phone users
who live in a certain city over time, where a represents the number of years after 2000.
Which of the following statements is true?
A
the rate of growth is 34%
B
there were 1125 cell phone users in 2000.
С
the rate of decay is 3.4%
D
In the year 2005, there were more than 1350 cell phone users.

Answers

Answer: B

there were 1125 cell phone users in 2000.

Step-by-step explanation:

The initial number of cell phone users is the front coefficient that is then multiplied by the growth factor.

So the initial number of cell phone users in 2000 was 1125.

He answer should be b because it mentions number of years after 2000 in the question that’s the answer that seems logical to me

Add the integers.
-6 + (-4) =( ?
B-2
C 2
D 10

Answers

Answer:

-10

Step-by-step explanation:

The answer is D. Negative equals negative.

X - 10= 7 x=_____ help

Answers

Im pretty sure it’s x = 17

Answer:

17

Step-by-step explanation:

Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22​

Answers

Answer:

8/12, 6/19 and 9/10!

Step-by-step explanation:

All of them cannot be simplified.

but the rest can like  

4/26 can be simplified by 2

and 10.22 can be simplified by 2

8/21 , 6/19 , 9/10 , and 10/22, so all of them except for the first one

Put a digit in the gap, such that the answer is a whole number

10x+11=144...

Answers

Answer:

the answer is 1

Step-by-step explanation:

If you do 1441-11 you get 1430.

no other number gives you 0.

NEED HELP ASAP

The Ramirez Family is planning to put an above ground swimming pool in their back yard. Their yard is a 38 ft by 58 ft rectangle and the pool will be a circle with a diameter of 16 ft, as shown below. They will fill the rest of their yard with grass.

Answers

Answer: It would be approximately 2000 ft.

Step-by-step explanation:

Find the measure of each missing angle

Answers

Answer:

m<1=60

m<2=120

m<3=55

m<4=80

m<5=100

Step-by-step explanation:

35+90=125

180-125=55

180/3=60

60x2=120

180-120=80

5+4=9

180/9=20

20x5=100

20x4=80

Can anyone solve this by elimination?
10x + y=-30
-10x - 4y= 30

Answers

Step: Solve
10
x
+
y
=

30
for y:
10
x
+
y
=

30
10
x
+
y
+

10
x
=

30
+

10
x
(Add -10x to both sides)
y
=

10
x

30

Step: Substitute

10
x

30
for
y
in

10
x

4
y
=
30
:

10
x

4
y
=
30

10
x

4
(

10
x

30
)
=
30
30
x
+
120
=
30
(Simplify both sides of the equation)
30
x
+
120
+

120
=
30
+

120
(Add -120 to both sides)
30
x
=

90
30
x
30
=

90
30
(Divide both sides by 30)
x
=

3

Step: Substitute

3
for
x
in
y
=

10
x

30
:
y
=

10
x

30
y
=
(

10
)
(

3
)

30
y
=
0
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