Mathematics Middle School

Pat has nine cards. Frank has two more cards than Steve. Steve has 3 cards how many more cards does Pat have than Frank?

Answers

Answer 1

pat =9
steve = 3
frank = 5 (3+2)
9-5 = 4
answer is 4

Answer 2

Based on the information given, Pat has 4 more cards than Frank.

The number of cards that Pat has = 9 cards

Number of cards that Steve has = 3 cards

Since Frank has two more cards than Steve, the total number of cards that Frank has will be: = 3 + 2 = 5

In order to know the number of cards that Pat has more than Frank, we will have to calculate the difference between the cards that they've. This will be:

= Pat's card - Frank's card

= 9 - 5

= 4

Therefore, Pat has 4 more cards than Frank.

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Related Questions

there are 12 grams of protein in 2 ounces of almonds. write if it is a proportional relationship

Answers

It is a proportional relationship since as the number of ounces of almonds increase, the amount of grams of protein also increases.

jen wrote 10 times as many pages of a school report as tom. they wrote 396 pages altogether. how many pages did each student write

Answers

i am not sure but i think it is 184.4

3 numbers that are greater than 12,000 but less than 13,000

Answers

12001, 12002, 12003 so lol

12001
12002
12003
and so on until 12999

You are measuring the dimensions of the floor in your bedroom because you are planning to buy new carpet. Which unit of measure is the most appropriate to use in this situation?
A) square feet B) square miles C) square inches D) square centimeters

Answers

A) square feet
if you are measuring the room u do not use centimeters because it to small to measure and take forever to measure the room
mile are long so that won't work
inches take a long time to measure a room that would not work
so a is the answer

What’s 40% in fraction

Answers

40% in a fraction is 2/5 it is also 0.4 in a decimal if you're curious

To write a percent as a fraction in lowest terms, we need to remember that a percent is a ratio that compares a number to 100.

40% can be written as the ratio [tex]\frac{40}{100}[/tex]. [tex]\frac{40}{100}[/tex] is not in lowest terms so we need to divide the numerator and the denominator by 20 which gives us [tex]\frac{2}{5}[/tex].

Therefore, 40% can be written as the fraction [tex]\frac{2}{5}[/tex].

subtract v from t , subtract the result from s then what have you from u

Answers

u- (s - (t - v))

hope this helps

Help plz explainnnnnn

Answers

The answers are choice B and choice C

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

Mr Nemo has 5 desks while Mr Benn has 2 desks

We can say the following
number of desks Mr Benn has = (2/5)*(number of desks Mr Nemo has)
2 = (2/5)*(5)
2 = 2

Which basically is the math translation of "Mr Benn has 2/5 as many desks as Mr Nemo", so that's why choice C is one of the answers.

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

Flip things around and we get

number of desks Mr Nemo has = (5/2)*(number of desks Mr Benn has)
5 = (5/2)*(2)
5 = 5

Note: 5/2 = 2 & 1/2

This is a translation from "there are 2 & 1/2 times as many desks in Mr Nemo's room as in Mr Benn's room" pointing to choice B as the other answer.

One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1240. the next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1027. the following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2091. find the cost of a trumpet, a clarinet would, and a violin.

Answers

Trumpet = $174 Clarinet = $149 Violin = $89 Let's write some equations to express what we know. 2t + 3c + 5v = 1240 3t + 1c + 4v = 1027 5t + 7c + 2v = 2091 So we have 3 unknowns and 3 equations. The 2t and 3t are rather interesting in the 1st 2 equations since the 3rd equation has 5t. So if we subtract the 1st and 2nd equations, we can cancel out the t values. So 5t + 7c + 2v = 2091 -( 3t + 1c + 4v = 1027) = 2t + 6c - 2v = 1064 -(2t + 3c + 5v = 1240) = 3c - 7v = -176 Now we can express c in terms of v. 3c - 7v = -176 3c = 7v - 176 c = (7/3)v - 58 2/3 Substitute the expression (7/3)v - 58 2/3 for c in the expression 2t + 3c + 5v = 1240 giving 2t + 3((7/3)v - 58 2/3) + 5v = 1240 and solve for t, first distribute the 3 2t + 7v - 176 + 5v = 1240 Merge the v terms 2t + 12v - 176 = 1240 Add 176 to both sides 2t + 12v = 1240 + 176 = 1416 Subtract 12 v from both sides 2t = 1416 - 12v Divide both sides by 2 t = 708 - 6v Now substitute both 708 - 6v for t and (7/3)v - 58 2/3 for c in 3t + 1c + 4v = 1027 and solve for v 3t + 1c + 4v = 1027 3(708 - 6v) + (7/3)v - 58 2/3 + 4v = 1027 Distribute the 3 3(708 - 6v) + (7/3)v - 58 2/3 + 4v = 1027 2124 - 18v + (7/3)v - 58 2/3 + 4v = 1027 Combine terms 2065 1/3 - (11 2/3)v = 1027 Subtract 2065 1/3 from both sides -(11 2/3)v = 1027 - 2065 1/3 = -1038 1/3 Divide both sides by -11 2/3 v = 89 So we know the violins cost $89 each. Plugging that value into the formula t = 708 - 6v which we created earlier t = 708 - 6v t = 708 - 6 * 89 = 708 - 534 = 174 So we know that a trumpet costs $174 Now plug the price of a violin into the formula c = (7/3)v - 58 2/3 to get the cost of a clarinet. c = (7/3)v - 58 2/3 c = (7/3)89 - 58 2/3 = 207 2/3 - 58 2/3 = 149 And a clarinet is $149 Let's verify 2t + 3c + 5v = 2*174 + 3*149 + 5*89 = 348 + 447 + 445 = 1240 3t + 1c + 4v = 3*174 + 1*149 + 4*89 = 522 + 149 + 356 = 1027 5t + 7c + 2v = 5*174 + 7*149 + 2*89 = 870 + 1043 + 178 = 2091 All the expressions match what was given, so the prices are Trumpet = $174 Clarinet = $149 Violin = $89

A forest contains 7 different species of trees. If there are 100 trees of each species, how many trees are in the forest?

Answers

no of species tree=7 ,no of tree in each species=100 so,ans=7*100=700

find the quotiend of 4.13 x 10^8 and 0.04 x 10^5

Answers

The answer to this is 103250. Remember, the word quotient means the answer to a division problem.

the difference of two numbers is 6. their sum is 20, what are the numbers?

Answers

13 and 7 are the correct numbers

1st number = x

2nd number = x-6

x +x-6 = 20

2x-6 = 20

2x=26

x = 26/2 = 13

13-6 = 7

the 2 numbers are 7 & 13

What is the answer cause I have having trouble knowing if it was right

Answers

How to find each one: So first, if you have a fraction, (you probably want to simplify the ones you've put in by dividing both sides by the same number, for example, 45/100, both sides by 5, 9/20)

So if you have a fraction:

You can find the ratio by just putting the numerator on the left, n:, and the denominator on the right. n:d

For example, with 5/9, 5:9.

For decimal, you can just divide. For example, 4/5, 0.8.

Percent, just change the decimal to have a hundredths place, with 0.8, 0.80, and then just take those two digits, or 80%.

So basically, for ratio, you can do it if you have the fraction.

For the column fraction, if you know basic fractions, you can also convert from those, and also from the ratios.

For decimal, if you know percent or fraction, you should be able to find it.

Percent, fraction or decimal should work.

I'll do a row to explain, it's kind of confusing, sorry:

So if you have 9:20, you can convert that to the fraction, 9/20.

Then you can find the decimal, 9/20 = 0.45

Percent would therefore be 45%.

Hope this helped :)

Line:
1.) 25:100; 25/100; 25%
2.) 3:5; 3/5; 0.6
3.) 7/10; 0.7; 70%
4.) 11:12; 0.916; 92%
5.) 3:4; 75/100; 75%
6.) 4:5; 4/5; 0.8
7.) 8/13; 0.615384; 62%
8.) 19:20; 0.95; 95%
9.)9:20; 9/20; 0.45
10.) 4:5; 0.8; 80%
11.) 3:2; 3/2; 150%
12.) 9/20; 0.45; 45%
13.) 5:9; 0.5; 56%
14.) 2/3; 0.6; 67%
15.) 7:8; 0.875; 88%
16.) 2:3; 2/3; 67%

*Highlited # means Infinite

Hey, hope this helped! GOOD LUCK ;)

I need help with this please

Answers

The answer to 8a. is 17, the answer to 8b. is 3.9, the answer to 8c. is 1 / 2, the answer to 8d. is 7 7 / 8, the answer to 9a. is commutative property, the answer to 9b. is multiplicative identity property, the answer to 9c. is associative property, and the answer to 9d. is additive inverse property.

Regarding the whole "explain using mental math" thing, I pretty much just used the fact that 8a. and 8b. both had the same number of decimal places. For 8c., I just made each number have a denominator of 10. And last, for 8d., all of the denominators were already the same, which made it pretty easy. I apologize for this section of my answer being so informal lol, I haven't had to do these kinds of problems in like 5 years

At Anne’s Fabric Emporium, a yard of chiffon fabric cost $7.85. Lee plans to purchase 0.8 yard for a craft or project. How much money will Lee spend on chiffon fabric?

Answers

Okay. So Lee is buying 0.8 yard of fabric from Anne’s and a whole yard costs $7.85. To find out how much it would cost, multiply 7.85 * 0.8. When you do that, you get 6.28. Lee will spend $6.28 on chiffon fabric.

I need help with this!
TJ, Max, and Misha are all the same age. The sum of their ages is s years. How old was TJ eight years ago?
Thanks!

Answers

Let x = TJ's current age.
Therefore each of the three has the same age.
Because the sum of their ages is s, therefore
3x = s
x = s/3

TJ's age 8 years ago is s/3 - 8

Answer: s/3 - 8

Final answer:

TJ's age eight years ago is found by dividing the sum of their current ages, s, by 3 to find each person's age and then subtracting 8. Hence, TJ's age eight years ago is (s/3) - 8.

Explanation:

If TJ, Max, and Misha are all the same age and the sum of their ages is s years, we can establish that the age of each one of them is s/3. To determine how old TJ was eight years ago, we simply subtract eight from his current age.

So TJ's age eight years ago can be calculated as follows:

Find TJ's current age: TJ's age = s/3.

Subtract eight years to find his age at that time: Age eight years ago = TJ's age - 8

Therefore, TJ's age eight years ago = (s/3) - 8.

Mariana graphs the function ƒ(x) = x3 − 4x2 − 3x + 18 and sees two zeros: −2 and 3. Since this is a polynomial of degree 3 and she only sees two zeros, she determines that the Fundamental Theorem of Algebra does not apply to this equation. Is Mariana correct? Why or why not?

Answers

Answer:

No, the root 3 has multiplicity of 2.

Final answer:

Mariana is incorrect because the Fundamental Theorem of Algebra states that a third-degree polynomial must have three complex roots, and she has found only two real zeros.

Explanation:

Mariana is not correct in her assumption that the Fundamental Theorem of Algebra does not apply to the function ƒ(x) = x^3 − 4x^2 − 3x + 18. The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem guarantees that a polynomial of degree n has exactly n complex roots, though some of the roots may be repeated and not all of them may be real. In Mariana's case, the polynomial is of the third degree, so it should have three complex roots. She has found two real zeros, −2 and 3. There must be another root, which could also be real or complex. If all roots were real, she would see all three zeros on the graph. If the third root is complex, it will not appear on the real number graph that Mariana is using.

which answer is an equation in point-slope form for the given point and slope?
point: (5,9); slope: 2
a. y-9=2(x+5)
b.y-9=2(x-5)
c.y-5=2(x+9)
d.y+9=2(x-5)

Answers

b. y - 9 = 2 (x - 5)

the answer to your question is b: y-9=2(x-5)

Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y2=14 ?

(2, −4) is a solution to the equation.
Both ordered pairs are solutions.
Neither ordered pair is a solution.
(−9, 3) is a solution to the equation.

Answers

Neither ordered pair is a solution.
If you solve y^2-6y + 14 = 0 you'll see by the discriminate b^2-4ac
that it is not a perfect square, i.e = -20, so the solutions are imaginary numbers, i.e. no real solutions.

I lost the little piece of paper that had my locker combination written on it! It takes me 10 seconds to try each of the combinations I can think of, and I have tried a total of 15 combinations so far! Looks like I am going to be late for class ...

Define a unit for the length of time spent trying combinations. Then enter a variable for the number of additional combinations tried and use this variable to write an expression for the length of time spent trying combinations.

Answers

Final answer:

The unit of time spent trying locker combinations is seconds, with the student already having spent 150 seconds. Introducing a variable x for additional combinations, the total time is expressed as 10x + 150 seconds.

Explanation:

Let's define the unit for the length of time spent trying combinations as seconds. Since the student spends 10 seconds on each try, and has tried 15 combinations, that's already 150 seconds spent. Now, let's introduce the variable x to represent the number of additional combinations the student will try. If each additional combination takes 10 seconds to try, then the total length of time spent trying combinations would be 10x seconds for the additional tries. Add this to the initial 150 seconds, and we get an expression for the total time spent as 10x + 150 seconds.

3/5 of a fence was installed in 1 1/2 days. how many days to install the whole fence?

Answers

First, let's convert the mixed number 1 1/2 to the improper fraction 3/2. We're given that it takes 3/2 days to install 3/5 of a fence. We're looking for how long it takes to install one whole fence - or 5/5 of a fence. To determine that, let's first find out how long it takes to install 1/5 of a fence, and then multiply that quantity by 5 to obtain our answer.

If it takes 3/2 days (3 half-days) to install 3/5 of a fence (3 fifths of a fence), then it makes sense that it would take 1/2 day (1 half-day) to install 1/5 of a fence (1 fifth of a fence).

If it takes 1/2 day to install 1/5 of a fence, then it should take 5 times that amount of time to install all 5/5 of it, or 5 * (1/2) = 5/2 days, or 2 1/2 days as a mixed number.

It will take 2 1/2 days to install the whole fence

PLEASE HELP 15 POINTS

Simplify the expression below.
3 + 7 ∙ 2 + 52 ∙ │−8 │

217

360

642

1,250

Answers

3+14+416

which equals:

17+416

your answer is:

433

I hope this helped! :))

(im not sure if the numbers you put: 217, 360, 642, 1,250 are multiple choice but I think the answer I gave you is correct!) :)

What expression is equal to (1+6i)-(7+3i)

Answers

I think it would be 0.72 i don't really know sorry just trying to help :) have a cool day

you need to distribute -1 into the second parenthesis as follows:

(1+6i)-(7+3i) = 1 + 6i - 7 - 3i

then combine like terms:

(1-7) + (6i - 3i)
=
-6 + 3i

Done

I hope that helps!

How do I solve 5x-12=6x+12

Answers

You subtract the 5x on both sides
leaving it to be -12=x+12
then you minus 12 (one with the x) on the both side
it being -24=x

Please create your own real-world scenario that requires the use of the distributive property.
Write the problem and show all the steps needed to find the answer.

Then include a description on how this problem uses the distributive property.

Please help me with this, thanks so much in advance!

Answers

My use of distributive is that you have 3 cows and 6 lambs then you have to kill them for meat. But the problem is you have to get twice the meat you usually get. So what do you do? You just cut the meat half the thickness you usually cut. It goes like this 2(3+6)= 18. First add the 3 and 6 together get 9 then multiply 9 by 2 and get 18.

Solve the proportion 5/3c = 1/6

Answers

the proportion is c=0.1
Expression Rendering Play and Practice! Examples How it works Help with Drawing Licensing
Plot a formula | Expression Simplifier and Solver |

YOUR ANSWER
This is an equation! Solutions: c=0.1.
Graphical form: Equation was fully solved.Text form: 5/3*c=1/6 simplifies to 0=0Cartoon (animation) form:
For tutors: simplify_cartoon( 5/3*c=1/6 )If you have a website, here's a link to this solution. DETAILED EXPLANATION Look at .
Moved these terms to the left
It becomes .
Look at .
Solved linear equation equivalent to 1.66666666666667*c-0.166666666666667 =0
It becomes .
Result:
This is an equation! Solutions: c=0.1.

Write the numbers in expanded form 592,682

Answers

Five hundred ninety two thousand six hundred eighty two

Here is your answer:

5 ×100,000+9 ×10,000+
2 ×1,000+6 ×100+8 ×10+2 ×1

Selena bought 3.75 lb of meat for $4.64 per pound what is the total cost of the meat

Answers

$17.40 Multiply the weight by how much it costs.

Answer:

$17.40

Step-by-step explanation:

Selena bought 3.75 pounds of meat.

The cost of meat of one pound = $4.64

The total cost of the meat = 4.64 × 3.75

= $17.40

The total cost of 3.75 lb of meat was $17.40.

fred got a score of 84 on the test. write a division sentence using negative integers where the quotient represents the number of questions fred answered incorrectly

Answers

We are given that:
>perfect score- 100
>number of questions of the test- 25
>worth of each question- 4 points
>Fred's score- 84
Let us say that n- number of questions Fred answered wrong

The solution:
let us solve for n
>division sentence: (100 ÷ 4 ) - ( 84 ÷ 4 ) = n

(100 ÷ 4 ) - ( 84 ÷ 4 ) = n
25 - 21 = n
4= n

Therefore Fred answered 4 test questions incorrectly.

Final answer:

To create a division sentence expressing the number of incorrect answers as a negative integer, you would divide the total number of questions by -0.16. This implies that Fred answered 16% of the questions incorrectly.

Explanation:

To write a division sentence using negative integers where the quotient represents the number of questions Fred answered incorrectly, we need to first determine the total number of questions on the test. We can assume that a perfect score is 100%. If Fred scored an 84, that implies he got 84% of the questions correct. We do not know the total number of questions, so let's denote the total number as x.

Since Fred got 84 out of 100 percent, that means he answered 16% of the questions incorrectly. In terms of the total number of questions x, he answered 0.16x questions incorrectly. Since he answered these questions incorrectly, and incorrect answers are considered as losses or negatives, we can multiply the total number of questions x by -0.16 to find the number of questions he answered incorrectly. Therefore, the division sentence could be -x/(-0.16) = y, where y represents the number of questions Fred answered incorrectly.

Elisa's cow give 1 3/4 gallon milk each day.How much is this in quarts?
Write your answer as a whole number or a mixed number in simplest.Include the correct unit your answer

Answers

There are 7 quarts in 1 3/4 gallons.

The answer is 7 quarts.

PLZ HELP The drama teacher wants to estimate how many tickets to sell for a show. The auditorium has 56 rows of seats. There are 32 seats in each row. Which explains whether it makes more sense to find an overestimate or an underestimate to decide how many tickets to sell?

A. It makes more sense to find an underestimate so that some people can enter the auditorium without buying a ticket.
B. It makes more sense to find an underestimate to make sure there are enough seats for everybody who buys a ticket to the show.
C. It makes more sense to find an overestimate to make sure every seat in the auditorium is filled.
D. It makes more sense to find an overestimate so that the show makes the most amount of money it can.

Answers

Answer:

The answer is

B. It makes more sense to find an underestimate to make sure there are enough seats for everybody who buys a ticket to the show.

Step-by-step explanation:

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