Yash can buy three pencils and have 49c change, or he can buy five pencils and
have 15c change.
(1) Write this information as an equation for x the cost in cents of one pencil.
(ii) How much money did Yash have to start with?

Answers

Answer 1

Answer:

(ii) 1 dollar

Step-by-step explanation:

each pencil costs 17 cents

- thus 3 pencils x 17c is 51c

1.00 dollars minus 0.51 is 49

- 5 pencils x 17c is equal to 85

1.00 dollars minus 0.85 is 15 c


Related Questions

How to do This item ? help me please!!!!

Answers

Answer:

I don't know if this will be helpful but here,

Step-by-step explanation:

There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble

Answers

Answer:

40% is the probability

Step-by-step explanation:

You are skateboarding at a pace of 30 meters every 5 seconds. You friend is in-line skating at a pace of 9 meters every 2 seconds. Graph each ratio relationship in the coordinate plane.​

Answers

We want to find and graph the motion equations by finding the ratios.

The graph can be seen at the end of the answer.

We define the rate of change as the rate at which one variable changes with respect to other.

Here, we know that you move 30 meters every 5 seconds, then your rate of change in position is:

r = 30m/5s = 6 m/s

Note that this is a speed.

For your friend, we know that he/she moves 9 meters in 2 seconds, so his/her rate is:

r' = 9m/2s = 4.5 m/s.

Now we need to graph these in a coordinate plane, but these are just numbers, I assume that you want the motion equation graphed.

The motion equations are just given by the rate we just fond times the variable, in this case, the variable is the time in seconds.

Your equation is:

p(t) = (6 m/s)*t

Your friend equation is:

p'(t) = (4.5 m/s)*t

The graphs can be seen below, the green one is the first function, and the blue one is the second.

If you want to learn more, you can read:

Question 1.
Write 803,000,000 in scientific notation.
Answer:

Question 2.
Write 0.0000000068 in scientific notation.
Answer:

Question 3.
Write 1.359 × 105 in standard form.
Answer:

Question 4.
The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius in scientific notation?

L

Answers

Answer:

1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 803,000,000New Number: 8.03000000Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.03000000Decimal Count:12345678

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.03 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

8.03 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.03 = 803,000,000

[tex]\sf -4(9x+9)[/tex]

Answers

Answer:

-36x-36x

Step by step explanation:

4(9x+9)

-36x -36x

Answer:

[tex]-36x-36[/tex]

Step-by-step explanation:

[tex]-4\left(9x+9\right)[/tex]

Apply distributive law:

[tex]-4\times \:9x-4\times \:9[/tex]

[tex]-36x-36[/tex]

simplify 1/5(4x-7)+2/5x
4/5x-1

1 1/5x-1 2/5

1 1/5x+1 4/5

4/5x+1 4/5

Answers

Answer:

Option 2:[tex]1 \frac{1}{5} x - 1 \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]

[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]

[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]

[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]

Your mom opens an account to save money for a family vacation. The account earns an animal interest rate of 4%. She earns $37 in simple interest after 6 months. How much money did she put in the account when she opened it? Use the formula: I=prt

Answers

Answer:

I = $ 0.74

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

putting time into years for simplicity,

6 months ÷ 12 months/year = 0.5 years,

then, solving our equation

I = 37 × 0.04 × 0.5 = 0.74

I = $ 0.74

The simple interest accumulated

on a principal of $ 37.00

at a rate of 4% per year

for 0.5 years (6 months) is $ 0.74.

BRAINLIEST PLEASE

Given the graph of f'(x) shown below, find the intervals on which the function f(x) is increasing.
See the graph attached below.

Isn't the answer supposed to be (-infinity, -2) U (1, infinity) ?

Answers

Answer:

intervals (-3,-1) and (0,+infinity)

Step-by-step explanation:

if f'(x)>0 then f is increasing

Can someone please? I don’t really understand how to do this with different variables

Answers

Answer:

Step-by-step explanation:

∠1 = ∠2 = 70    {Corresponding angles}

2x +2 y = ∠1

2x + 2y = 70 --------------(I)

2x + y = ∠2

2x +y =  70 --------------(II)

Subtract equation (II) from (I)

(I)    2x + 2y = 70

(II)   2x  + y =  70

     -       -      -     {subtract}

               y  = 0

Plugin y= 0  in equation(I)

2x + 0 = 70

2x = 70

x = 70/2

x = 35

x = 35 ;  y = 0

anthony uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he mane with 1 pint of lemon juice

Answers

Answer:

Therefore, he can make 2 batches of lemonade with 1pint of lemon juice

Anthony can make 2 batches of lemonade with 1 pint of lemon juice.

In this problem, we'll determine how many batches of lemonade Anthony can make using a given amount of lemon juice. We'll be using the fact that 1 pint is equivalent to 16 fluid ounces.

Step 1: Convert Pints to Fluid Ounces

Since 1 pint is equal to 16 fluid ounces, we need to convert the given 1 pint of lemon juice into fluid ounces.

1 pint = 16 fluid ounces

Step 2: Calculate Batches

Now that we know 1 pint is equal to 16 fluid ounces, we can find out how many batches of lemonade Anthony can make using 8 fluid ounces of lemon juice per batch.

Number of batches = Total fluid ounces / Fluid ounces per batch

Substitute the values:

Number of batches = 16 fluid ounces / 8 fluid ounces per batch

Number of batches = 2 batches

Therefore, Anthony can make 2 batches of lemonade using 1 pint of lemon juice, given that he uses 8 fluid ounces of lemon juice in each batch.

This calculation ensures that he has enough lemon juice for the desired number of batches without any wastage.

To know more about Batches here

https://brainly.com/question/33079787

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If tan A = | and tan B = Root3
evaluate
i) CosA cos B - sinA sinB
ii) sinA cosB+ cosA cosB

Answers

Answer:

i)

Step-by-step explanation:

Tan a = 1

Tan A = tan 45

A = 45.

Now,

Tan b = root 3

Tan b = tan 60.

B = 60.

Now ,

Cos a * cos b - sin A * sin B

= cos 45 * cos 60 - sin 45 * sin 60

= 1/root 2 * 1/2 - 1/root 2 * root 3 /2

= 1 /root 2 ( 1/2 - root 3 /2)

= 1/root 2 * 1 - root 3 /2

= 1 - root 3 / 2 root 2.

WHICH ONE IS THE CORRECT ANSWER?​

Answers

It is the first option . A is correct

Please help me in this!

Answers

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

Rise over run ???please

Answers

Answer:

1/4 slope

Step-by-step explanation:

From (-8,0) to (-7,4) it goes 1 up and 4 to the right

Do the following: Ayie says that 7-³ is the same as – 7³. Write an explanation of how Ayie should interpret 7-³, then show her how each expression results in a different value.​

Answers

7^(-3) = 1/7^3 = 1/343

- 7^3 = - (7^3) = -343

As can be seen, the results are very different.

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
3.23%
3.33%
37.2%
35.5%

Answers

Answer:3.33%

easy

Step-by-step explanation:

A = true value = 60

B = estimated or measured value = 62

C = percent error

C = ( |A-B|/A ) * 100%

C = ( |60-62|/60 ) * 100%

C = (2/60)*100%

C = 0.0333*100%

C = 3.33%

Eloise practiced piano for 2/5 of an hour. Sarah practiced piano for 3/4 of an hour.
How much longer did Sarah practice than Eloise?

Answers

Answer:

21 min longer

Step-by-step explanation:

For Eloise, we need to know how much 1/5 of an hour is in min. So divide 60 by 5 and we get 12min. So 2/5 of an hour is 2x12, giving us 24 min.

For Sahrah, we need to know how much 1/4 of an hour is in min. So divide 60 by 4 and we get 15min. So 3/4 of an hour is 3x15, giving is 45 min.

now that we know how long they practiced, we find the difference by subtracting. 45-24 = 21

4.Which is the best buy in the following cases. a) 4pens for Rs 56 or 6pens for Rs 90 give full step of answer​

Answers

Answer:

4 pens

Step-by-step explanation:

better value

write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi


Show your work and leave your answer it terms of pi

Answers

Answer:

72π m³

Step-by-step explanation:

Cylinder volume:

V = πr²h

Substitute the values of r and h:

V = π(3²)(8) = 72π m³
>> Answer :

________

[tex] \: [/tex]

V = [tex]\pi[/tex] × r² × h

V = [tex]\pi[/tex] × 3² × 8

V = [tex]\pi[/tex] × 9 × 8

V = 72[tex]\pi[/tex]m³

1. How much simple interest is earned on $3,000 in 9 years at an interest rate of
4.5%?


Can anyone help please? This is due tomorrow and I don’t understand this

Answers

Answer:

I = $1,215

Step-by-step explanation:

Principal (P ) = $3,000

interest rate (R ) = 4.5% or 0.045

time (in years) ( t )= 9

Use the simple interest formula:

I = P × r × t

I = $3,000 × 0.045 × 9

I = $1,215  

Therefore, the simple interest earned on a $3,000 investment after 9 years is $1,215.

Directions:Classify the following polynomials by degree and number of terms.

ANYONE PLEASE HELP ME WITH MY QUESTIONS 2 AND 3 I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS LATER I HOPE Y’ALL CAN HELP ME:(
I’LL MARK BRAINLIEST FOR THOSE WHO CAN ANSWER IT CORRECTLY!

Answers

Answer:

Question 2: The degree is 3 and the terms are 2, Binomial

Question 3: The degree is 2 and the terms are 3, Polynomial

Step-by-step explanation:

Given the function f(x) = 6(x-4)2 + 3, which of the following statements is NOT TRUE?
a:the function shifts right 4 and up 3
b: the function is compressed by 6 and shifted right 4
c:the function is stretched by 6 and shifter left 4
d:the function is stretched by 6 and shifted up 3

Answers

b is false.

This function is vertically stretched by a factor of 6, not compressed.

The price of a sweater was reduced from $25 to &19. By what percentage was the sweater reduced by?

Answers

Answer:

24%

Step-by-step explanation:

Difference in price of sweater

=$25-$19

=$6

6/25×100%=24%

A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?

Answers

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

Answer:

7 bottles of paint and 15 canvases

Step-by-step explanation:

I'm letting x stand for the number of bottles of paint and y stand for the number of canvases

1.29x+1.89y=37.38

and y=x+8

Since the y value is isolated I can just substitute the right side of the y= equation into the original like so

1.29x+1.89(x+8)=37.38

I then distributed the 1.89 to each of the terms in the parentheses

1.29x+1.89x+15.12=37.38

I then combined like terms to get

3.18x+15.12=37.38

Then you subtract 15.12 from both sides to get

3.18x=22.26

and last we divide both sides by 3.18 to get

x=7

Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get

y=7+8

y=15

Don't forget the labels you gave each variable earlier in the problem when answering!

which is an equation of the line with a slope of 1/4 and a y-intercept of -2?

Answers

Answer:

y = 1/4x -2

Step-by-step explanation:

If the slope is 1/4, then you must multiply x by 1/4. If we plug 0 into 1/4x, we get 0, but we need -2, so we must subtract 2 in the equation.

In each case use the new theorems to arrange the letters measures from greatest to least

Answers

Answer:

answer is a,b,c

Step-by-step explanation:

Solving Exponential Equations and Inequalities Solve for x 169% = 13" ​

Answers

Answer:

x = 100/13

Step-by-step explanation:

x 169% = 13

x = 13/169%

x = 13/1.69 = 13/169/100

x = 13 × 100/169

x = 100=13

[tex]\\ \sf\longmapsto 169\%x=13[/tex]

[tex]\\ \sf\longmapsto 1.69x=13[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{13}{1.69}[/tex]

[tex]\\ \sf\longmapsto x=7.69[/tex]

List the first 4 terms of the sequence 3n² + 1​

Answers

Answer:

4, 13, 28, 49

Step-by-step explanation:

1st term = 3 × (1)² + 1 = 4

2nd term = 3 × (2)² + 1 = 13

3rd term = 3 × (3)² + 1 = 28

4th term = 3 × (4)² + 1 = 49

Answer:   4, 13, 28, 49

Step-by-step explanation:

The first for terms of the series can be found by substituting the n for the term it is:

= 3(1)² + 1​ , 3(2)² + 1​ , 3(3)² + 1​ ,3(4)² + 1​

= 4, 13, 28, 49

How far is it from Harrisburg, PA to Trenton, NJ?
milea
O 184 mi
O 158 mi
O 133 mi
O 96 mi

Answers

Based on the data, it can be inferred that Harrisburg, PA is 158 miles from Trento, NJ.

How to calculate the distance between Harrisburg and Trento?

To calculate the distance between Harrisburg and Trento we must carry out the following procedure. First we look at the entire table to see the different distance values between the cities. As we can see, the values for Trento, NJ are not there, so we will have to look elsewhere for additional information.

In this case, we must take as a reference the closest city to Trento that is on the list, this would be Filadeldia. Now, we must find the distance between Philadelphia and Trento and add this value to the distance between Philadelphia and Harrisburg.

According to the above, Philadelphia is 114 miles from Harrisburg and 44 miles from Trneto.

114 - 44 = 158

Based on the above, the total distance between Trento and Harrisburg is 158 miles.

Learn more about miles in: https://brainly.com/question/23245414

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PLSSS HLEPP ME OUTT ITS URGENTTTT!!!​

Answers

Answer: 84km Happy To Help, Brainliest Please

Step-by-step explanation:

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