Subtract 6 3/5-2 1/4. Simplify the answer and write as a mixed number

Answer:

2,000 problems

Step-by-step explanation:

We know the students solved the following amount of problems:

Week 1 - 25% of the month

Week 2 - 110% of the first week--> this means 25(1.10)=27.5%

Week 3 - 60% of the first two week--> this means 0.6(25+26.5)=31.5%

Week 4 - 320 problems --> this is 16% of the quota since 100-25-27.5-31.5=16%

So we know that 320 is 16%. We can set up a proportion to find the total amount.

[tex]\frac{16}{100} =\frac{320}{y}[/tex]

We solve by cross multiplying by multiplying numerator and denominator on opposite fractions.

[tex]16(y)=100(320)\\16y=32000\\\frac{16y}{16}=\frac{32000}{16}\\  y=2,000[/tex]

The quota for the month is 2,000 problems.

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

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Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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[tex]h(x)=\dfrac{1}{3}|x-6|+4[/tex]

Put the values of x to the equation of the function h(x):

[tex]x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6[/tex]

D. X=0.75

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

Answer:

Option D - 0.75

Step-by-step explanation:

Given : Equation [tex]-4^x+1=3x-4[/tex]

To find : Solve the equation for x by graphing ?

Solution :

Let the equation,

[tex]y=-4^x+1[/tex] ......(1)

[tex]y=3x-4[/tex] ......(2)

Plot the two equations by graphing tool.

Equation (1) [tex]y=-4^x+1[/tex] with red curve passing through origin (0,0).

Equation (2) [tex]y=3x-4[/tex] with blue line passing through origin (0,-4) and (1.33,0)

The intersection point of both the equation is (0.739,-1.784).

So, The solution of x value is approximately x=0.75.

Therefore, Option D is correct.

Refer the attached figure below.

Answer:

x + 6 >= -4

x can be from -10 or anything greater.

Step-by-step explanation:

-4 - 6 = -10

if you do any number less than -10 it won't work, but anything greater does

Answer:

The speed is 50 pounds per hour .

Step-by-step explanation:

As given

Team infinite dimensions gathered 30 pounds of wood in [tex]\frac{3}{5}[/tex] hour.

[tex]Speed = \frac{Total\ pound\ of\ woods}{Total\ time}[/tex]

[tex]Speed = \frac{30}{\frac{3}{5}}[/tex]

[tex]Speed = \frac{30\times 5}{3}[/tex]

[tex]Speed =50\ pound\ per\ hour[/tex]

Therefore the speed is 50 pounds per hour .

Answer:

8^2 ft^2

Step-by-step explanation:

8^2= 64, and to find area it lengthxwidth.

so 8x8=64

Answer:8^2 ft^2

Step-by-step explanation:

Answer:

You would have to do  

7.50 x 32.5 which would equal

243.75

Please mark brainlist if helped! c:

What we know:

- Suzy earns 7.50$ per hour.

- Suzy worked 32.5 hour's last week.

What we need to find:

- We need to find the amount of money she had on her check.

What we need to do to solve this problem:

To solve this problem we need to multiple the amount of money she earned per hour and how many hours she worked. 7.50×32.5

7.50×32.5=243.75

That being said, your answer is: 243.75

I hope this helps! :)

-LizzyIsTheQueen

Answer:

21%

Step-by-step explanation:

[tex]\frac{100}{y}x=\frac{2570}{535}[/tex]

Solving for x

x=535*100/2570              

x≈21%

The students at East Central High School have reached approximately 20.82% of their goal of earning $2570 by selling candles. This is calculated by dividing what they've earned by their goal and then converting the result to a percentage.

The subject of this question involves understanding how to calculate percentages, particularly when dealing with financial goals. To calculate the percentage of their goal the students at East Central High School have reached, we would divide the amount they have earned by the total goal amount and then multiply by 100:

So, the students have reached approximately 20.82% of their goal.

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Answer:

16 32 64

Step-by-step explanation:

Remark

Though it is easy just to add the next three numbers, it would be a good idea to develop some sort of formula. It is what you always want to do if you are representing a sequence. Then you don't have to struggle to find the 100 term of the given sequence. The only way to explain this is to say it is a geometric sequence.

Givens

Solution

r = t4/t3 = 8/4

r = 2

a = 1

Formula

Answer

By similar methods the next 2 items will be 32 and 64.

Note

The next three numbers in the given pattern (1,2,4,8) are 16, 32, and 64, obtained by doubling the last known number in the series for each subsequent term.

This question is related to a mathematical pattern in which each number is being doubled to get the next one. The series given is 1, 2, 4, 8. Here, you can notice that each successive number is two times the prior number. So, to find the next three numbers, you'd multiply the last given number by 2.

When you multiply 8 (the last number in the given series) by 2, you get 16. That's your first number. Continuing this pattern:

So, the next three numbers in this pattern would be 16, 32, and 64.

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Answer:

∠2 = 115.5°

Step-by-step explanation:

128.5° is an exterior angle of the triangle

The exterior angle equals the sum of the 2 opposite interior angles, hence

∠2 + 13 = 128.5 ( subtract 13 from both sides )

∠2 = 115.5°

Answer:

216 kilometers

Step-by-step explanation:

126/14 = 9  (this means 9 kilometers per 1 liter)

9 x 24 = 216 kilometers

Answer:

C = 4(-5, 2) (-20, 8)

A = 4(-4, 4) (-16, 16)

T = 4(-1, 2) (-4, 8)

I hope this helps

Step-by-step explanation:

Answer:

The answer is $16.45

Step-by-step explanation:First, you have to multiply $0.95 x 9 = $8.55

Then, you have to subtract $25.00-$8.55 = $16.45

Please mark this brainliest and I will be glad to help anytime

check the picture below.

Answer:

y = 48° is the answer.

Step-by-step explanation:

In the figure attached, length of small arc = 66°

This small arc makes an angle at the center of the circle = 66°

By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.

Therefore, m (arc) = 66° = 2.(x)

x = [tex]\frac{66}{2}=33[/tex]

Similarly,  y = [tex]\frac{96}{2}=48[/tex]

y = 48° will be the answer.

Answer:

see explanation

Step-by-step explanation:

to find the first, fourth and tenth terms, substitute n = 1, 4, 10 into the rule

A(1) = - 3 + (1 - 1)(- 2.2) = - 3 + (0 × - 2.2) = - 3 + 0 = - 3

A(4) = - 3 + (4 - 1)(- 2.2) = - 3 + (3 × - 2.2) = - 3 - 6.6 = - 9.6

A(10) = - 3 + (10 - 1)(- 2.2) = - 3 + (9 × - 2.2) = - 3 - 19.8 = - 22.8

the required terms are - 3, - 9.6, - 22.8

Answer:$36

Step-by-step explanation:

He has sold 6 and made $18 6x2=12 2x18=36

Answer:

(f+g)(x) = 6x^2 +5x+10

Step-by-step explanation:

f(x)=7x+7 and g(x)= 6x^2-2x+3

find (f+g)(x)

We will add the 2 functions.  I like to line them up vertically.

 f(x)=          7x+7

g(x)= 6x^2-2x+3

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

(f+g)(x) = 6x^2 +5x+10

Answer:

x < the quantity negative 3 times b plus 5 all over negative 2

Step-by-step explanation:

−2x + 3b > 5

Subtract 3b from both side.

-2x +3b -3b > 5-3b

-2x > 5-3b

Divide by -2 on both sides, remember to flip the inequality since we are dividing by a negative

-2x/-2 < 5/-2 - 3b/-2

x < (5-3b)/-2

x< (-3b+5)/-2

Re write in words.

x is less than the quantity  negative 3 times b plus 5  all over  negative 2

Answer:

2? i've never learned this but i just tried to teach myself lol sorry if its wrong i tried

Step-by-step explanation:

The given polynomial has 4 roots.

( may not be all distinct)

Fundamental Theorem of Algebra --

It states that every non-constant polynomial of degree n has exactly n roots counting  multiplicity.

i.e. the roots may repeat.

i.e. the  number of roots of a non-constant polynomial of degree n has atmost n distinct roots.

We are given a polynomial as:

[tex]f(x)=x^4+5x^3+10x^2+20x+24[/tex]

Clearly the polynomial is of degree 4.

This means that the roots of this polynomial will be: 4

( not all  roots may be distinct)

Final answer:

The question appears to be related to a simple subtraction of financial figures, specifically finding the difference between $49 and $149, which is $100. Without further context, it's unclear what specific mathematical operation or application is being asked for.

Explanation:

The question $49 to $149 does not provide enough context to determine a precise methodology or principle to apply. Looking at the provided references, these figures appear to represent various financial ranges which might be associated with tax brackets, salary bands, or other financial calculations. However, without additional context, it is impossible to provide a step-by-step explanation or to perform a specific calculation.

If the intent is to calculate the difference between $49 and $149, the work is simply:

This yields the difference between the two amounts.

Answer:

25.15 miles per gallon

Step-by-step explanation: The equation to find the number of miles traveld per galon would be to divide the number of miles traveled by the number of gallons used.

Answer:

Your answer is B 2/5

Step-by-step explanation:

y2-y1/x2-x1

[tex]\frac{-5--3}{-7--2} = \frac{-2}{-5}\\[/tex]

Answer:

8

Step-by-step explanation:

A coefficient is the number a variable is multiplied by, so we can see that 8 is being multiplied by y. The answer is 8.

Hope this helps!

Answer

I am Maddie,

Step-by-step explanation:

I had this question on my CLASS and it was correct, I apologize if I got you wrong.

Answer:

its A. (1,9) i know because i just did this apex test

Step-by-step explanation:

If someone deposits Rs 40000 in a bank at the rate of 5% p.a. after paying 5% tax, the amount he will get after 4 years is Rs 47600.

How the amount is determined:

Principal amount (P) = Rs. 40000

Rate of interest (R) = 5% per annum

Time period (T) = 4 years

We can calculate the simple interest using the formula:

[tex]\text{Simple Interest} = \frac{{P \cdot R \cdot T}}{{100}}[/tex]

Plugging in the values:

[tex]\text{SI} = \frac{{40000 \times 5 \times 4}}{{100}}[/tex]

= Rs 8000

Total Income after 4 years = Principal + Interest

Total Income = 40000 + 8000 = Rs 48000

Income Tax on Interest: The income earner needs to pay 5% income tax on the interest earned

Tax to Pay = 5% of Rs 8000 = Rs 400

Final Amount Received after Tax = Total Income - Tax to Pay

= 48000 - 400

= Rs 47600

Complete Question:

If someone deposits Rs 40000 in a bank at the rate of 5% p.a.  If he has to pay 5% of interest as income tax, how much will he get after 4 years?

Answer:

7.8%

Step-by-step explanation:

can I get Brainliest???

The percentage of the number of milligrams and Carrie’s body anytime after they both have taken the medication is less than 100%.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

We are given that;

Carrie is prescribed 600 mg of a medication.

The medication decays at a rate of 40% per day.

Now,

Let's first find the amount of medication remaining in Carrie's body after taking the medication for 5 days:

m = 600(0.6)^5

m ≈ 86.18 mg

To find the percentage of the amount of medication in Carrie's body after 5 days compared to anytime after they both have taken the medication, we need to find the amount of medication in Carrie's body at any given time, t. We can use the same formula and substitute t for d:

m = 600(0.6)^t

Now, we can calculate the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication:

(m after 5 days / m at any time) x 100%

= (86.18 / 600(0.6)^t) x 100%

= (0.1436 / 0.6^t) x 100%

Since we don't know the exact value of t, we can't simplify this expression any further. However, we can make some observations:

As t increases, the denominator (0.6^t) gets smaller, so the fraction as a whole gets larger.

When t is very large, the fraction approaches 0, which means that the amount of medication in Carrie's body approaches 0, or she has eliminated all the medication from her body.

Therefore, we can conclude that the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication will be less than 100%,

Learn more about percent here:

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