how much more is 1/8 than 5/8?

Answer:

c

Step-by-step explanation:

Answer:

Fred paid US$ 310 to Social Security as a payroll tax

Fred paid US$ 72.50 to Medicare as a payroll tax

Fred paid 18% of his income to the Federal government as an income tax

Fred paid 5% of his income to the state government as an income tax

Step-by-step explanation:

Fred's earnings in June were $ 5,000

A. Payment to Social Security

5,000 * 6.2% = 5,000 * 0.062 = 310

B. Payment to Medicare

5,000 * 1.45% = 5,000 * 0.0145 = 72.50

C. Federal Income Tax

900/5,000 = 0.18 = 18%

D. State Income Tax

250/5,000 = 0.05 = 5%

Final answer:

Calculating net income, monthly income, and tax rates based on Fred's earnings in June.

Explanation:

Mathematics

Calculate the Net Annual Income for Fred:

Calculate Monthly Income for Fred: $3,867.50 / 12 = $322.29

Percent Rates of Taxes Paid by Fred:

Answer:

Step-by-step explanation:

The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.

Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.

we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

We can transform [tex]y = \log x[/tex] into [tex]y = \log 2\cdot x +3[/tex] by means of the following operations:

That is, we represent the operations defined above mathematically:

1) [tex]y = \log x[/tex]

2) [tex]y = \log 2\cdot x[/tex]

3) [tex]y = \log 2\cdot x + 3[/tex]

In a nutshell, we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

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Answer:

in full, on time, every time

Step-by-step explanation:

in full, on time, every time because even if little is left out it would again a large amount together with the interest. Also as the limit is low it can easily be reimbursed

Explanation:

Note: As you haven't clearly specified the answer choices. But, I am assuming one of the answer choices may have included some negative number under a square root, as a real number cannot have a negative number under a square root. So, whatever the choice may have contained the negative number under a square root would represent the complex number. Anyhow, I would try to clear your concept.

So, lets move forward.

A complex number is basically the combination of a real number and imaginary number which can be expressed in the form of [tex]a+ib[/tex]. where a and b are termed as real numbers and i is a solution of the equation x² = -1.

So,

In  [tex]a+ib[/tex],

For example, let us consider

[tex]2 + \sqrt{-1}[/tex]

Therefore, [tex]2 + \sqrt{-1}[/tex] is a complex number.

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Answer:

the answer is 12

Step-by-step explanation:

[tex] = (3 + 2(6) - 1) - 3(3) + 7 \\ = (14) - 9 + 7 \\ = 14 - 2 \\ = 12[/tex]

Answer:

Step-by-step explanation:

5x+9y+90

This is just an algebraic expression.

The total weight of the can with tennis balls is 200 grams

Step-by-step explanation:

Let b be the weight of one ball

and

c be the weight of can

Then

c = 20 grams

b = 60 grams

The weight of three balls will be:

[tex]3b\\=3*60\\=180\ grams[/tex]

Hence,

The total weight will be:

[tex]c+ 3b\\= 20+180\\= 200\ grams[/tex]

So,

The total weight of the can with tennis balls is 200 grams

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Answer:

200

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the answer choices are in slope-intercept form.

The slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Answer:

B

Step-by-step explanation:

Answer:

Harry rides further.

Step-by-step explanation:

First, you have to find the least common denominator of 8 and 5, which is 40.

3*5=15, 2*8=12

Hope this helps!!!

Karen rides farther.

Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles, we are asked to find who rides farther,

Harry's distance = 25 3/8 = 203/8

Karen's distance = 25 2/5 = 127/5

Subtracting Harry's distance by Karen's distance,

203/8 - 127/5

= 1015-1016/40

= -1/40

Since, the result is in minus that means 127/5 is greater than 203/8.

Therefore, Karen's covers more distance than Harry.

Hence, Karen rides farther.

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Answer:

Step-by-step explanation:

The answer is C because V = s3 → 729 = s3 → 9 = s

Therefore, SA = 6s2 = 6(9)2 = 486 cm2

Answer:   im going to solve it in one second

Step-by-step explanation:

He invested $6500 in bonds

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

Assume that Mike invested $x in stocks and $y in bonds

∵ Mike invested $x in stocks

∵ Mike invested $y in bonds

∵ Mike invested a total of $25,000

∴ x + y = 25000 ⇒ (1)

∵ The interest rate of the stocks is 7%

∴ r of the stocks = 7 ÷ 100 = 0.07

∴ I (stocks) = x(0.07)(1)

∴ I (stocks) = 0.07x

∵ The interest rate of the bonds is 11%

∴ r of the bonds = 11 ÷ 100 = 0.11

∴ I (bonds) = y(0.11)(1)

∴ I (bonds) = 0.11y

∵ Mike earned $2010 interest on his investments

- Equate the sum of I (stocks) and I (bonds) by 2010

∴ 0.07x + 0.11y = 2010 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -0.11 to eliminate y

∵ -0.11x - 0.11y = -2750 ⇒ (3)

- Add equations (2) and (3)

∴ -0.04x = -740

- Divide both sides by -0.04

∴ x = 18500

- Substitute the value of x in equation (1) to find y

∵ 18500 + y = 25000

- Subtract 18500 from both sides

∴ y = 6500

∵ y represents the amount of money he invested in bonds

∴ He invested $6500 in bonds

He invested $6500 in bonds

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Answer:

multiply the whole number by the denominator, then add the number you get to the numerator.  :) hope this was helpful!!!

Step-by-step explanation:

Answer: You have to multiply the Main number by the denominator, then add the numerator to that number, and put it above the original denominator.

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

5(x+2)-4(x+1)

5x+10-4x-4

5x-4x+10-4

x+6

1.5+6=7.5

Answer:

7.5

Step-by-step explanation:

Substitute 1.5 into the equation

5(1.5+2) − 4(1.5+1)

5(3.5) − 4(2.5)

17.5 - 10 = 7.5

500 guitar picks

order 15 boxes with 9 picks each

sell 19 boxes with 10 picks each

-> the store ordered about 150 picks (15 x 9 -> 15 x 10)

-> the store sold about 200 picks (19 x 10 -> 20 x 10)

it is reasonable, since they have 50 fewer picks which is about 450.

(second option)

Answer:

No solution

Step-by-step explanation:

To eliminate is to get rid of one of the variables.

You can choose to either add each term in the equations or subtract each term in the equation.

For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.

Try adding them.

.     y - x = 15

+    y - x = 5

2y - 2x = 20   No variables were eliminated.

Try subtracting.

.     y - x = 15

-     y - x = 5

0y - 0x  = 10   All variables were eliminated.

.         0 = 10     This is false.

This system of equations cannot be solved.

Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.

Answer: $22,241.32 APEX

Final answer:

By calculating the present value of an annuity using the monthly payment, interest rate, and number of payments, we find that Bryce can afford a car with a value of approximately $22,241.32.

Explanation:

To calculate the value of the most expensive car Bryce can afford based on a $350-per-month car payment with a 6-year loan at an APR of 4.2%, compounded monthly, we use the formula for the present value of an annuity:

PV = PMT × ¶ [(1 - (1 + r)^-nt) / r]

Where:

PV = Present Value (what we're solving for, the cost of the car)

PMT = Monthly Payment ($350)

r = monthly interest rate (APR divided by 12)

n = number of times the payment is made per year (12)

t = number of years (6)

Given:

APR = 4.2% per year or 0.042

Monthly interest rate, r = 0.042 / 12 = 0.0035

nt = 12 × 6 = 72 payments in total

Now we substitute the given values into the formula:

PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]

PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]

PV ≈ $350 × [(1 - (1.0035)^-72) / 0.0035]

Using a calculator to find (1.0035)^-72 and then the whole expression, we get:

PV ≈ $350 × 60.4774

PV ≈ $21,167.09

The value that's closest to our calculation and offered in the options is $22,241.32, so the most expensive car Bryce can afford is approximately $22,241.32.

Answer:

968 square feet

Step-by-step explanation:

Let x be the new flooring install in 24 hours.

Given:

Ryan can install 121 square feet of flooring in 3 hours.

So, Ryan can install flooring in one hour = [tex]\frac{121}{3} feet^{2}[/tex]

Ryan can install flooring in 24 hours.

[tex]x= 24\times flooring\ in\ one\ hour[/tex]

[tex]x=24\times \frac{121}{3}[/tex]

[tex]x=8\times 121[/tex]

[tex]x=968\ feet^{2}[/tex]

Therefore, Ryan can install 968 square feet of flooring in 24 hours.

-6r+48

Step-by-step explanation:

Answer:

The address of Ainsley is 24 and that of Lane is 25.

Step-by-step explanation:

All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.

Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.

Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.

Therefore, x + (x + 1) = 49

⇒ 2x = 48

⇒ x = 24

So, the address of Ainsley is 24 and that of Lane is 25. (Answer)

Answer:

Step-by-step explanation:

Money spent on jersey and pant = 65 * 17.50 + 65*11 = 65 * (17.50+11)

                                                       = 65 * 28.50 = $1852.50

Step-by-step explanation:

taking that blank as x

5/2 -x = 1/3

the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3

so the equation will become 5/2-1/3=x

solving the fraction then gives 13/6 or 2.17 as the value of x

The value of the equation is x = 13 / 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the unknown number be represented as x

Substituting the values in the equation , we get

( 5/2 ) - x = 1/3   be equation (1)

Adding x on both sides of the equation , we get

( 5/2 ) = ( 1/3 ) + x

Subtracting ( 1/3 ) on both sides of the equation , we get

x = ( 5/2 ) - ( 1/3 )

On simplifying the equation , we get

x = ( 15 - 2 ) / 6

x = 13 / 6

Therefore , the value of x is 13/6

Hence , the equation is x = 13/6

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Answer:

17/20

Step-by-step explanation:

2 1/4=9/4

1 2/5=7/5

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

9/4-7/5

45/20-28/20

17/20

Answer:

f = 100 + 0.133d

Step-by-step explanation:

For each trip, they charge an initial fee of 100 in addition to a constant fee for each vertical meter climbed.

For example, for 3000 meters of climbing, they charged the additional constant fee of 400.

Therefore, per meter climbing they charges [tex]\frac{400}{3000} = 0.133[/tex].

Therefore, if f represents the fee in dollars of a trip they climbed d vertical meters then we can model the situation as  

f = 100 + 0.133d (Answer)

Answer:

[tex]6\frac{1}{12}\ yd[/tex]

Step-by-step explanation:

The correct question is

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

How many yards of ribbon does Marcella have left?

we know that

To find out how many yards of ribbon Marcella has left, add up the yards of ribbon used for the gift packages plus the yards of ribbon used to tie the balloons. and subtract this result from the total yards of ribbon bought by Marcella

so

[tex]12\frac{1}{4}-(2\frac{1}{2}+3\frac{2}{3})[/tex]

but first convert mixed number to an improper fractions

[tex]12\frac{1}{4}=\frac{12*4+1}{4}=\frac{49}{4}[/tex]

[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]

[tex]3\frac{2}{3}=\frac{3*3+2}{3}=\frac{11}{3}[/tex]

substitute in the expression above

[tex]\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})[/tex]

[tex]\frac{49}{4}-(\frac{5*3+2*11}{6})[/tex]

[tex]\frac{49}{4}-(\frac{37}{6})[/tex]

[tex]\frac{3*49-37*2}{12}[/tex]

[tex]\frac{73}{12}\ yd[/tex]

Convert to mixed number

[tex]\frac{73}{12}\ yd=\frac{72}{12}+\frac{1}{12}=6\frac{1}{12}\ yd[/tex]

Final answer:

After calculating the total ribbon used in yards and subtracting it from the amount Marcella bought, we find that she has 5 13/42 yards of ribbon left.

Explanation:

To determine how many yards of ribbon Marcella has left, we need to subtract the total amount of ribbon she used from the initial amount she bought. Marcella originally bought 12/14 yards of ribbon. She used 2 1/2 yards for gift packages and 3 2/3 yards for tying balloons.

To make the subtraction easier, we'll first convert the mixed numbers to improper fractions. The mixed number 2 1/2 becomes 5/2 when we multiply 2 (the whole number) by the denominator (2) and then add the numerator (1), resulting in 4 + 1 = 5 over the original denominator 2. Similarly, 3 2/3 becomes 11/3 when we multiply 3 (the whole number) by the denominator (3) and then add the numerator (2), resulting in 9 + 2 = 11 over the original denominator 3.

Now, let's perform the subtraction:

First, simplify 12/14 to 6/7 by dividing both the numerator and denominator by 2.

Next, find a common denominator for all three fractions. The least common denominator for 2, 3, and 7 is 42.

Convert each fraction to have the denominator of 42.

12/14 yards (or 6/7 yards when simplified) is (6/7) * (42/42) which equals 36/42 yards.

2 1/2 yards as an improper fraction is 5/2, and when converted to have a denominator of 42, it becomes (5/2) * (21/21) which equals 105/42 yards. Similarly, 3 2/3 yards is 11/3, and when converted to have a denominator of 42, it becomes (11/3) * (14/14) which equals 154/42 yards.

Now subtract both of these amounts from 36/42 to find out how much ribbon Marcella has left:

36/42 - 105/42 - 154/42 = (36 - 105 - 154)/42 = -223/42

Because we cannot have a negative amount of ribbon, we realize we made an error. We should add the fractions instead of subtracting:

36/42 - (105/42 + 154/42) = (36/42) - (259/42)

This simplifies to -223/42, which is an improper fraction. To convert this back to a mixed number, we divide 223 by 42.

223 divided by 42 is 5 with a remainder of 13, so Marcella has 5 13/42 yards of ribbon left. However, we need the positive value since ribbon length cannot be negative. Thus, we keep the positive difference:

Marcella has 5 13/42 yards of ribbon remaining.

In conclusion, after Marcella uses ribbon for gift packages and tying balloons, she is left with 5 13/42 yards of ribbon.

Answer:

10.8

Step-by-step explanation:

we move the 3.6 to tge other side so the sighn of it will be negative the we subtract them so m=10.8

Answer:

m=4

Step-by-step explanation:

Answer:

∠RUS = 90°

Step-by-step explanation:

PT is a line. This means that it has a measure of 180°

This means that all of the angles that it is broken up into must add together to equal 180°.

In this case, ∠PUQ +∠QUR +∠RUS +∠SUT =  180°

As we have the measures for all of the angles aside from ∠RUS, we can solve for that

First, let us input each of the measures of the angles

39+23+∠RUS+28=180

Now all we need to do is isolate ∠RUS by subtracting everything to the other side

Once that is done, we get

∠RUS = 90°

Answer:

[tex]\large\boxed{m\angle RUS=90^o}[/tex]

Step-by-step explanation:

[tex]m\angle PUT=m\angle PUQ+m\angle QUR+m\angle RUS+m\angle SUT\\\\\text{We have:}\\\\m\angle PUT=180^o,\ m\angle PUQ=39^o,\ m\angle QUR=23^o,\ m\angle SUT=28^o\\\\\text{Substitute:}\\\\180^o=39^o+23^o+m\angle RUS+28^o\\\\180^o=90^o+m\angle RUS\qquad\text{subtract}\ 90^o\ \text{from both sides}\\\\90^o=m\angle RUS[/tex]

Answer:

c are the correct answer