How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over, AND when you break the pennies into groups of 3, you have 1 penny left over, AND when you break the pennies into groups of 5, you have 1 penny left over, AND when you break the pennies into groups of 7, you have NO pennies left over?

Answers

Answer 1

Answer:

91

Step-by-step explanation:

"When you break the pennies into groups of 2, you have 1 penny left over"

You have an odd number of pennies.

"when you break the pennies into groups of 3, you have 1 penny left over"

The number of pennies is one more than a multiple of 3.

"when you break the pennies into groups of 5, you have 1 penny left over"

A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.

"when you break the pennies into groups of 7, you have NO pennies left over"

The number is a multiple of 7.

We need a multiple of 7 that ends in 1.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...

You could have 91.


Related Questions

what is the biggest galaxy in the universe​

Answers

Mesala is the biggest


2. The cost of a pair of jeans was changed from $52 to $47.82. What was the percent change?
8% decrease
9% increase
9% decrease
8% increase

Answers

Answer:

I Think its 8% decrease

Answer:

The answer is

8% decrease

Step-by-step explanation:

To find the percentage change we use the formula

[tex]Percentage \: \: change = \frac{change}{original \: quantity} \times 100[/tex]

To find the change subtract the lesser one from the larger one

Original price = $ 52

Current price = $ 47.82

Change = 52 - 47.82 = $ 4.18

Substitute the values into the above formula

Percentage change is

[tex] \frac{4.18}{52} \times 100[/tex]

We have the final answer as

Percentage change = 8%

Since the current price was lesser than the original price there is a percentage decrease in the amount

Damien worked at a grocery store earning $9.00 an hour. He worked 30 hours a week and was paid every two weeks. He paid $62 in taxes and had a $50 savings account deduction. How much were Damien's taxes and deductions?

Answers

Answer:

Answer: $428.00

Step-by-step explanation: First, we need to calculate the person’s total hours, (30 x 2 = 60 hours) then the money per hour (60 x 9) then take away the taxes and account deductions.

Charmaine can knit 15 rows in 22 minutes. Create a ratio table and then estimate about how many full rows could she knit in 90 minutes?

Answers

Answer:

61 rows

Step-by-step explanation:

Set up a proportion:

[tex]\frac{15}{22}[/tex] = [tex]\frac{x}{90}[/tex]

Cross multiply:

22x = 1350

x = 61.36

= approx. 61 rows

A refrigerator is priced at 525.50 there is a 7% sales tax rate

Answers

Answer:

562.29

Step-by-step explanation:

you would just multiply 525.50 by 7 which is 3678.5 and divide that by 100 which is 36.785 and add that to 525.50 which is 562.285 which can be rounded to 562.29

The density of an object has the equation d = m/v. If an object has a mass of 20 g and a volume of 3.5 cm^3, what is its density?

Answers

Answer:

[tex]\Large \boxed{\mathrm{5.71 \ g/cm^3 }}[/tex]

Step-by-step explanation:

[tex]\sf \displaystyle density = \frac{mass}{volume}[/tex]

[tex]\displaystyle \rho = \frac{m}{V}[/tex]

[tex]\sf Mass \rightarrow 20 \ g \\ Volume \rightarrow 3.5 \ cm^3[/tex]

[tex]\displaystyle \rho = \frac{20}{3.5}[/tex]

[tex]\rho \approx 5.71[/tex]

Density is defined as the mass per unit volume of an object and It is calculated using the equation: density (d) = mass (m) / volume (v).

In this scenario, the mass of the object is given as 20 grams and the volume is given as 3.5 cm^3. To find the density, we can substitute these values into the equation: density =[tex]20 g / 3.5[/tex] cm^3 To simplify the unit of the measurement, we can convert cm^3 to mL (since 1 cm^3 is equal to 1 mL).

Thus, the equation becomes: density = [tex]20 g / 3.5[/tex]  mL Calculating the division: density ≈ 5.71 g/mL Therefore, the density of the object is approximately 5.71 g/mL.

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Solve the following equation algebraically

Answers

Answer:

the right answer is d

Step-by-step explanation:

please give 5 star i need it

A diagonal of a rectangle is 8cm and forms an angel measuring 30 with one side.Find the area of the rectangle.

Answers

Answer:

16 * √3 cm² or approximately 27.71 cm²

Step-by-step explanation:

Given the 8 cm length of the diagonal and the 30° (π/6 radians) angle with one of the sides, we can calculate the width and height of the rectangle using:

8 * cos(π/6) = 8 * ((√3)/2) = 4 * √3

8 * sin(π/6) = 8 * (1/2) = 4

Multiply those two values together to get the area and you get

16 * √3 cm²

the sides of an angle are

Answers

Answer:

the vetrex

Step-by-step explanation:

You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 475 cm3. The material for the base of the box costs 8 cents/cm2 and the material for the sides of the box costs 6 cents/cm2. The dimensions for a box that will minimize the cost of the materials used to construct box are:

Answers

Answer:

The dimensions of the box are:

x =  8,93 cm       and     h  =   5,95 cm

C(min) =  850,69 cents

Step-by-step explanation:

The volume of the box is:

V = x²*h          where    x is the side of the square base  and h the height

then    h  =  V/ x²  ⇒    h = 475 / x²

The total cost of box C is:

C  = C₁  +  4*C₂      Where C₁  and C₂  are the costs of the base and one lateral side respectevily

Then cost C =  8*x²   + 4* 6*h*x

The cost C as a function of x is

C(x)  =  8*x²  + (24* 475 /x² )*x

C(x)  =  8*x²  +  11400/x

Tacking derivatives on both sides of the equation

C´(x)  =  16*x -  11400/x²

C´(x)  =  0     ⇒    16*x  -  11400/x²  = 0

16*x³  =  11400     ⇒   x³  =  11400/16

x³ =  712,5

x  =  8,93  cm

and    h   =  475 / (8,93)²      ⇒      h  =  5,95  cm

C(min)  =  8*79,77  +  4* ( 8,93)*5,95

C(min)  =  638,16  +  212,53

C(min)  =  850,69 cents

To check if value x = 8,93 would make C(x) minimum we go to the second derivatives

C´´(x) =  16  +  22800/x³ > 0

Then we have a minimum of C at  x = 8,93

In a survey of 200 game lovers,it was found that 130 liked football, 90 liked cricket, and 20 didn't like both games.i) How many people were there who liked both football as well as cricket? ii)How many people like only cricket? A. 30,60 B. 40,50 C. 50,40

Answers

Step-by-step explanation:

Hey, there!!

Your required answer is:

i). = 40

ii). = 90

See explanation in picture..

Here, no(F) represents no. of people who just like football. and n (F intersection C) represents who like both games.

Hope it helps...

PLEASE HELP MEEE
Simplify the expression to a polynomial in standard form

(x+3)(2x2+3x+7)

Answers

Answer:

2x^3 + 9x^2 + 16x + 21.

Step-by-step explanation:

We first multiply the expression in the second parentheses by x , then by +3:

(x + 3)(2x^2 + 3x + 7)

= x(2x^2 + 3x + 7) + 3(2x^2 + 3x + 7)

= 2x^3 + 3x^2 + 7x + 6x^2 + 9x + 21   Now we add like terms:

= 2x^3 + 9x^2 + 16x + 21.

The area of rectangular is 46 square inches.if the length is 4 times the width . Then find the dimensions of the rectangular

Answers

Answer:

the rectangle's width is approximately 3.39 inches

and the length is approximately 13.56 inches.

Step-by-step explanation:

Recall that the area of a rectangle is Length times Width

If we name the length "L" and the width "W", we have:

L * W = 46

Also: "the length is 4 times the width" can be written in math form as:

L = 4 * W

and now we can replace the length L by 4 * W in the formula for the area:

[tex]L\,*\,W = 46\\(4\,W) \,W = 46\\4\,W^2=46\\W^2=\frac{46}{4} =11.5\\W=\sqrt{11.5} \\W\approx 3.39[/tex]

and now we find the value of L:

[tex]L=4\.(3.39) = 13.56[/tex]

Therefore, the rectangle's width is approximately 3.39 inches

and the length is approximately 13.56 inches.

Given the true/false statements are true (facts), select the best logical induction made from thoses statements: Mo likes oranges, jai likes oranges, Ben like oranges. ​

Answers

Answer:

People like oranges

Step-by-step explanation:

Given:

Mo likes oranges. Jai likes oranges. Ben likes oranges.

We have a few different options;

Option A: People don't like other fruit, such as apples. This can't be possible because we have only been given people who like oranges.

Option B: People on like oranges. This can't be possible because only is the case where people do not like any fruit except oranges, and we are not sure of this.

Option C: People like oranges. This can be possible because Mo, Jai, and Ben likes oranges

Option D: People like fruit. This can't be possible because we are not sure if people like all fruits or not

People like oranges.

What is Induction?

the action or process of inducting someone to a position or organization.

How to determine?

We have a few different options;

Option A: People don't like other fruit, such as apples. This can't be possible because we have only been given to people who like oranges.

Option B: People like oranges. This can't be possible because only is the case where people do not like any fruit except oranges, and we are not sure of this.

Option C: People like oranges. This can be possible because Mo, Jai, and Ben like oranges

Option D: People like fruit. This can't be possible because we are not sure if people like all fruits or not

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20 POINTSSSSSSSSSSS AND BRAINLIESTTTTTTTTTTTTTSSSSSSSSSSSSSS

Answers

The answer is C!

2.5, move the decimal four places to the left. You are left with .00025

Answer:

C

Step-by-step explanation:

Since the exponent on the 10 is negative, we need to move the decimal point to the left instead of the right. After moving the decimal point on the 2.5 to the left 4 places, we see that the answer is 0.00025.

The temperature on Monday was 5 Degrees. The temperature on Thursday was - 8 degrees. Was the overall change in the temperature positive, negative, or 0? Why ? *

Answers

Answer:

Negative change

Step-by-step explanation:

Given

[tex]Monday\ Temperature = 5\ deg[/tex]

[tex]Thursday\ Temperature = -8\ deg[/tex]

First, we need to calculate the overall change in temperature

This is calculated by subtracting the initial temperature from the final temperature

[tex]Overall\ Change = Thursday\ Temperature - Monday\ Temperature[/tex]

[tex]Overall\ Change = -8\ deg - 5\ deg[/tex]

[tex]Overall\ Change = -13\ deg[/tex]

The overall change shows a negative change in the temperature.

This is as a result of a drop in temperature from Monday to Thursday

Consider a group of students playing a game of tug-of-war, in which two teams pull on a rope to find which team is strongest. Each of the statements that follows describes what happens during the tug-of-war. Evaluate each statement and select the statements that are accurate.

Answers

You have to show the statements

cual de estos tipos de mentalidad puede contribuir a superar situaciones de no inclusión porque​

Answers

La mentalidad de crecimiento, ya que a diferencia de la mentalidad fija, nos permite ver en otras personas la mentalidad de mejorar y perseverar.

suppose a certain brand of smoke detector functions properly 85 percent of the time. i installed 3 of thse in my room, what is probability that at least one of the three smoke detectors functions propoerly

Answers

Answer:

The probability that at least one of the three smoke detectors functions properly = 0.996625

Step-by-step explanation:

Given that:

a certain brand of smoke detector functions properly 85 percent of the time

Let X represent the certain brand of smoke detector

X = 85%

X = 0.85

Let the probability that at least one of the three smoke detectors functions properly be P(Y)

P(Y) = 1-  (1 - X)³

P(Y) =1 -  (1 - 0.85)³

P(Y) = 1 -  0.003375

P(Y) = 0.996625

The probability that at least one of the three smoke detectors functions properly = 0.996625

Use the given data to find the minimum sample size required to estimate a population proportion or percentage.
Margin of​ error 0.03: ​confidence level 95​%; and unknown

Answers

Answer:

1067

Explanation:

The formula that will be used to calculate the sample size if population proportion isn't given is expressed as;

Sample size n = |Z|² × 0.25/E² where;

Z is the z-score at 95% confidence

E is the margin of error

Given parameters

Z score at 95% confidence interval = 1.96

E = 0.03

Substituting the given values into the formula to get the sample size n we will have;

n = 1.96²×0.25/0.03²

n = 3.8416×0.25/0.0009

n = 0.9604/0.0009

n = 1067.11

n ≈ 1067

Hence, the minimum sample size required to estimate a population proportion is approximately 1067

Multiply
11 x 34.12

I’m so confused?

Answers

Answer:

[tex]34.12 * 11 = 375.32[/tex]

Step-by-step explanation:

Given

11 * 34.12

Required

Multiply

To start with, we have to ignore the decimal points;

So, we have

    3412

  *      11

---------------

   3 4 1 2

3 4 1 2

------------------------

3 7 5 3 2

The next step is as follows;

34.12 is in 2 decimal places

11 is has no decimal (0 decimal place)

Add the decimal places together

[tex]Decimal\ Place = 2 + 0 = 2[/tex]

This implies that the result will be in 2 decimal placed;

Hence:

[tex]34.12 * 11 = 375.32[/tex]

4x+y=10
( ,-6)
find the x value
please hellllpppp !!

Answers

Answer:

x=4

Step-by-step explanation:

4x+y=10

y=-6

4x-6=10

4x=16

x=4

(4,-6)

Calculate the total installment price the carrying charges in the number of months needed to save them money at the monthly rate to buy the item below for its cash price the computer with the cash price of 750 offered on the installment plan for 39 per month for 24 months

Answers

Answer:

the total installment is $936 the carrying charges are $186 the monthly rate to buy the items are  19.23 or 20 months

Step-by-step explanation:

$39 for 24 months comes to ...

$39 × 24 = $936

The "carrying charges" are the difference between the cash price and the installment price:

$936 -750 = $186

 Saving at the rate of $39 per month, it would take ...

  $750/$39 = 19.23 months   about 20 months to save up the cash price.

Often, such savings would come from a once-a-month paycheck, so it would take more than 19 such paychecks to save the required amount.

hope it will help :)

b-3+4b=34
Solve equation

Answers

Answer:

b = 7.4

Step-by-step explanation:

b - 3 + 4b = 34

combine like terms:

5b - 3 = 34

5b = 37

divide by 5:

b = 7.4

Answer:

b=7.4

Step-by-step explanation:

1. Combine like terms

5b-3=34

5b=37

2. Isolate x value by dividing

b=7.4

2 What operation should be done first to solve 6x + 5 = 35?
o
Subtract 5
O Add 5
Multiply by 6
O Divide by 6

Answers

Answer:

subtract 5

Step-by-step explanation:

subtract 5 from each side of the equal sign..

Answer:

the answer is subtract 5

Step-by-step explanation:

i need help bad and fast

Answers

Answer: E) CD

Step-by-step explanation:

A segment with a slope of 0 on this graph represents a time where no distance is made, or a break.  The only segment with a slope of 0(where distance does not increase) is segment CD.

Hope it helps <3

Answer:

CD

Step-by-step explanation:

CD is the answer because the graph becomes a flat line when a body is at rest

Are the points B, F, and W coplanar?​

Answers

Answer:

yes

Step-by-step explanation:

Because the point lie on the plane they are coplanar

What is the ratio of 2 feet to 4 yards?

Answers

Answer:

1:6

Step-by-step explanation:

1 yard = 3 feet. 4 yards = 12 feet.

Ratio of 2 feet:12 feet = 1:6 Ans D

The ratio of 2 feet to 4 yards is 1 : 6

How to determine the ratio?

The ratio is given as:

Ratio = 2 feet : 4 yards

Convert yard to feet

Ratio = 2 feet : 4 * 3 feet

Evaluate

Ratio = 2 feet : 12 feet

Divide the ratio

Ratio = 1 : 6

Hence, the ratio of 2 feet to 4 yards is 1 : 6

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Only a very small (<5) percentage of measurements can be more than 2 standard deviations from the mean of the normal distribution.
A. True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

The empirical rule in statistics states that:

68% of the data will be within 1 standard deviation95% of the data will be within 2 standard deviations99.7% of the data will be within 3 standard deviations

So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.

Answer:

The answer is true

Step-by-step explanation:

True

17.
An urn contains eight red, six white, and four green balls. Four balls are drawn at random.
(a) Compute P(all four are red).
(b) Compute P(exactly two are red and exactly two are green).
(c) Compute P(exactly two are red or exactly two are green).
(a) The probability that all four balls are red is
(Type an integer or a decimal. Round to two decimal places as needed.)
(b) The probability that there are exactly two red balls and exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)
(c) The probability that there are exactly two red balls or exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)

Answers

Complete Question

An urn contains eight red, six white, and four green balls. Four balls are drawn at random.

(a) The probability that all four balls are red is

(Type an integer or a decimal. Round to two decimal places as needed.)

(b) The probability that there are exactly two red balls and exactly two green balls is

(Type an integer or a decimal. Round to two decimal places as needed.)

(c) The probability that there are exactly two red balls or exactly two green balls is

Answer:

(a) The probability that all four balls are red is

0.023

(b) The probability that there are exactly two red balls and exactly two green balls is

0.055

(c) The probability that there are exactly two red balls or exactly two green balls is

1.398

Step-by-step explanation:

An urn contains

Red balls = 8

White balls = 6

Green balls = 4

Total number of balls = 18 balls

(a) The probability that all four balls are red is?

The probability that a ball drawn is red = 8/18

The probability of drawing a ball that is not red = 1 - 8/18 = 10/18

The probability that all the 4 balls drawn are red = 8/18 × 7/17 × 6/16 x 5/15

= 1680/73440

= 0.022875817

Approximately = 0.023

(b) The probability that there are exactly two red balls and exactly two green balls is

There are 6 ways by which this can be achieved. Where R = Red balls and G = Green Balls

RRGG

GGRR

RGRG

GRGR

RGGR

GRRG

P(Exactly two red balls and two green balls) = P(Exactly two red balls × Exactly two green balls)

=[ (8/18 × 7/17) ×( 4/16 × 3/15)] × 6 ways

= 672/73440 × 6 ways

= 0.0091503268 × 6 ways

= 0.0549019608

Probability of drawing out exactly two two red balls and two green balls is

= 0.055

(c) The probability that there are exactly two red balls or exactly two green balls is

P(Exactly two red balls or two green balls) = P(Exactly two red balls + Exactly two green balls)

P(Exactly two red balls or two green balls) = P(Exactly two red balls or Exactly two green balls)

=[ (8/18 × 7/17) + ( 4/16 × 3/15)] × 6 ways

=0.1830065359 + 0.05

= 0.2330065359 × 6 ways

= 1.3980392154

≈1.398

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The price will be quoted in euros per milliliter because the price has unit of euros per unit of volume. B. The price will be quoted in euros per kilometer because because Europe is very large, so everything is quoted in kilometers. C. The price will be quoted in euros per milliliter because Europeans use the SI unit system. D. The price will be quoted in euros per kilometer because euros is the currency that is used in Europe. E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight. F. The price will be quoted in euros per kilogram because one apple in Europe weighs one kilogram. a scale model of a double decker bus is 7.0cm high and 15.4cm long.if the bus is 4.2m high how long is it 2. You water three sunflower plants with salt water. Each plant receives a different concentration of salt solutions. A fourth plant receives pure water. After a two- week period, the height is measured. Independent: Dependent: Constants: Control: 3. 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