Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?

Answer:

x=3

y=4

Step-by-step explanation:

By moving x to the right-hand side of the first equation we get y=-x+7, which we then substitute for y in the second equation. Solving gives x=3, which we can then put into the first equation and get y=4.

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

Step-by-step explanation:

The classification of the angles are;

a) ∠3 and ∠5; Alternate Angles

b) ∠1, ∠2 and ∠3; three interior angles of a triangle.

c) ∠2 and ∠3; Complementary angles

d) ∠4 and ∠5; Supplementary angles

We know that the sum of angles in a triangle is 180 degrees and as such it means that ∠1, ∠2 and ∠3 are classified as three interior angles of a triangle.

We know that alternate angles are defined as angles that occur on opposite sides of the transversal line and have the same size. Thus;

∠3 and ∠5 are alternate angles.

Since ∠1 is 90 degrees, then it means that ∠2 and ∠3 are complementary angles.

Similarly, ∠4 and ∠5 are called supplementary angles because they sum up to 180 degrees.

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The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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Considering the given matrix, it is found that the number of solutions of the system of equations is given by:

B. 1.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The matrix form of the system can also be written as:

\(\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] =  \left[\begin{array}{c}5\\6\end{array}\right]\)

Applying the multiplication of the matrices, we have that:

Hence the system has one solution, given by (5,6), and option B is correct.

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Answer:

what we have to find or to prove.

Answer:

123.76

Step-by-step explanation:

a negative times a negative is a positive

22.1 times 5.6 is 123.76

The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions

Answer:

If given the slope and a point, use the point-slope form.

If given the slope and the y-intercept, use the slope-intercept form.

Answer: $400

Step-by-step explanation:

Discount = 15%

The original price/value of an item is always 100%

So selling price (%) = original price - discount = 100%-15% = 85%

We got selling price as 85%

This implies that 85% = 340

Let's find 1% first, then 100%

1% = 340÷85 = 4

100% = 4 × 100 = $400

The usual (normal/original) price is $400

Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.

percentage, a relative value indicating hundredth parts of any quantity.

Let's represent the usual price of the bicycle by P.

Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).

We can express this relationship as an equation:

S = 0.85P

We also know that the selling price of the bicycle was $340.

Substituting S = $340 into the equation above, we get:

$340 = 0.85P

To find P, we can solve for it:

P = $340 / 0.85

P = $400

Therefore, the usual price of the bicycle was $400.

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The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

The set of side measurements that could be used to form a right triangle is

The problem is solved using the Pythagoras theorem is applicable to right triangle.  

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

the set of sides that adheres to this theorem can form a right triangle

plugging the values as in the problem  6, 8, 10

say side 10 = x

x² = 6² + 8²

x² = 36 + 64

x² = 100

x = √100

x = 10

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3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

Carys is reviewing her tax bill for the previous year to ensure accuracy and compliance with tax regulations.

Carys checking a tax bill for the last year involves reviewing and verifying the information related to her tax obligations and payments for that specific year. This process typically includes several steps:

Gathering relevant documents: Carys would collect all the necessary documents, such as income statements (W-2 or 1099 forms), expense receipts, investment statements, and any other relevant financial documents.

Reviewing income sources: Carys would examine all the sources of income she received during the year, including employment income, self-employment income, rental income, investment income, etc. She would ensure that all income sources are accurately reported and accounted for.

Deductions and credits: Carys would assess if she is eligible for any deductions or tax credits that can reduce her taxable income or provide tax benefits. These may include deductions for expenses like mortgage interest, medical expenses, education expenses, and credits such as the Child Tax Credit or the Earned Income Tax Credit.

Calculating taxable income: Carys would determine her taxable income by subtracting eligible deductions and adjustments from her total income. This step helps in determining the portion of income that is subject to taxation.

Applying tax rates: Carys would review the applicable tax brackets and rates to calculate her income tax liability based on her taxable income. Different income levels are subject to different tax rates, and Carys would ensure she is applying the correct rates.

Checking for errors: Carys would carefully review all calculations and entries on her tax return to identify any errors or discrepancies. This includes verifying that all income, deductions, and credits are accurately reported and that the final tax liability is correctly calculated.

Filing the tax return: Once Carys is satisfied with the accuracy of her tax bill, she would file her tax return with the appropriate tax authority, such as the Internal Revenue Service (IRS) in the United States. This step involves submitting the required forms and supporting documents to report her income and claim any applicable deductions or credits.

By going through these steps, Carys can ensure that her tax bill for the last year is accurate, complete, and in compliance with the tax regulations and laws of her jurisdiction.

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"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.

Thus the response above is right.

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Answer:

-5 less than or equal to x less than or equal to -8

Step-by-step explanation:

You have to isolate x.

Start with removing +2.

Take 2 away from both sides

15 less than or equal to -3x less than or equal to 24

Then, the only thing you have to isolate after that is -3, you have to remove it from x.

Since -3x is multiplying, you have to divide by -3 on the other sides.

15 divided by -3 is -5

24 divided by -3 is -8

Therefore,

The answer is...

-5 less than or equal to x less than or equal to -8

Answer:

10

Step-by-step explanation:

Answer:

10 :)

Step-by-step explanation:

12 divided by 1 1/5 is the same as:

It is always easier to convert the fraction into a decimal:

like we converted 1/5 into .20.  

\(\frac{12}{1.2}\)=10

A question you can ask yourself is:

How many times can you multiply 1.2 to get 12?

1.2*10=12.

Hope it helps! :))

The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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The equation represents the image of the line y = 3x +1 is y' = 3(x - 3) +1.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

The transformation that translates function y = f(x) by h units right and k units up is

y' = f(x -h) +k

We have y= 3x+ 1

So, After translating 3 units to x axis the function will become

y' = 3(x - 3) +1

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Answer:

$109

Step-by-step explanation:

Formulas

interest = (principal amount)(rate)(time)

interest = (100)(0.09)(3) = $27

total = principal amount + interest

total = 100 + 9 = $127

a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

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Answer:

9

Step-by-step explanation:

For one throw the probability of a miss is 1/2 since there are just two outcomes

Similarly for one throw the probability of a score is 1/2 since there are two outcomes.

Therefore for 8 trials we expect at least for different trials starting from 1

8 miss 0 score

7 miss 1 score

6 miss 2 score

5 miss 3 score

4 miss 4 score

3 miss 5 score

2 miss 6 score

1 miss 7 score

0 miss 8 score

So the number of possible outcomes is 9

And this define by what we call the binomial probability and is defined as

the picture quality is low

Step-by-step explanation:

therefore I can't give answer of your question

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2