Tom buys 5 shirts for $10 total. He also buys shorts for
$4.50 each. What inequality represents the situation?
He only has $50 to spend/

A. 5x + 10 < 50
B. 4.50x + 5 < 10
c. 10+ 4.5x ≤ 50
d. 5x +4.5x < 50

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

this question can be easily solved by using unitary method ~

\(number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages\)

hope helpful ~

The point that lies on the graph of the translated function y = a(x - 3)² + c is given as follows:

(6, 15).

There are four translations that are standard, and they are defined on the list as follows:

The parent function in this problem is defined as follows:

y = ax² + c.

The translated function in this problem is defined as follows:

y = a(x - 3)² + c.

Then the translation is defined as follows:

Shift right of 3 units, due to the translation x -> x - 3, and thus 3 is added to the x-coordinate in the point.

Hence the point that lies on the graph of the translated function is of:

(3 + 3, 15) = (6, 15).

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Answer:

98 cm^2

Step-by-step explanation:

7 x 14 =98

Answer:\(-5^{3}\)

Step-by-step explanation

By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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Answer:

E. The domain of h(x) is all real values of x.

The word that describes the slope of the line representing the data in the table is "negative."

To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.

Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.

The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.

Therefore, the word that describes the slope of the line representing the data in the table is "negative."

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The distance between Chase and Heather is 469 miles

They each travel for 7 hours (when they meet)

The blanks are completed as follows:

Then the inverse Laplace transform is given as follows:

f(t) = e^(9t) + 9te^(9t).

The function for this problem is given as follows:

F(s) = s/(s² - 18s + 81).

Completing the squares at the denominator, we have that:

F(s) = s/(s - 9)².

Applying partial fraction decomposition, the function can be defined as follows:

s/(s - 9)² = A/(s - 9) + B/(s - 9)²

Expanding the right side, we have that:

s/(s - 9)² = [A(s - 9) + B]/(s - 9)²

Hence:

As - 9A + B = s.

Then the system for the coefficients is given as follows:

Thus the function in the transform domain is of:

F(s) = 1/(s - 9) + 9/(s - 9)².

Applying the inverse Laplace transform, the function in the time domain is given as follows:

f(t) = e^(9t) + 9te^(9t).

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Answer:

C, adding -1 1/2 to the coordinate of point J.

Step-by-step explanation:

J= 1 1/5

Equation : 1 1/5+(-1 1/2)

Use distributive property and by multiplying the + sign by the negative #, you get a negative.

- positive x negative = negative

So, : 1 1/5-1 1/5

= 0

Answer:

Heun's method is also known by its other name called Modified Euler methods. This method is used in computational or mathematical science.

Step-by-step explanation:

Euler method is the method that is also pronounced in two similar stages such as Runge- Kutta methods. This method has been named after Dr. Heun.

This method is used for the solution of ordinary differential equations with its given values. There is some method to calculate this method. The improved Runge Kutta methods are also called the Butcher tableau method, the other methods are also called the Ralston methods.

Answer:

3

Step-by-step explanation:

In this expression, the first term is 2x, then 4y, then 8-2 (which simplifies to 6).

Answer:

Step-by-step explanation:

Let's start by using the formula for the perimeter of a rectangle:

P = 2L + 2W

where P is the perimeter, L is the length, and W is the width.

We are given that the perimeter is 70 cm, so we can substitute this in the formula:

70 = 2L + 2W

Dividing both sides by 2, we get:

35 = L + W

We are also given that the length is six times the width, so we can write:

L = 6W

Substituting this in the equation we just derived, we get:

35 = 6W + W

Simplifying, we get:

35 = 7W

Dividing both sides by 7, we get:

W = 5

So the width of the rectangle is 5 cm.

Using the equation L = 6W, we can find the length:

L = 6 x 5 = 30

So the length of the rectangle is 30 cm.

Therefore, the length of the rectangle is 30 cm and the width is 5 cm.

Answer:

6.28 meters

Step-by-step explanation:

The formula for circumference is C=2\(\pi\)r.

So circumference (C) equals 2 x pi x radius (aka half the diameter)

The diameter is 2 meters, so the radius is 1 meter. (2 meters÷2= 1 meter)

2 x pi (3.14) x 1 = 6.28

The function L= 10 log(I/10^-16) is a logarithmic equation

The loudness of the whisper is 40 decibels

The function of the loudness is given as:

L= 10 log(I/10^-16)

When the intensity is 10^-12, the equation becomes

L= 10 log(10^-12/10^-16)

Evaluate the quotient

L= 10 log(10^4)

Apply the rule of logarithm

L= 10 * 4

Evaluate the product

L = 40

Hence, the loudness of the whisper is 40 decibels

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Step-by-step explanation:

the average score would be 3 i think

Answer:

The picture isn't clear enough.

We can see here that the distinct orders of light bulbs that are there if two light bulbs of the same color are considered identical is: 4,620.

We can see here that in order to find the solution, we use the permutation with repetition formula:

n! / (n1! × n2! x ... × nk!)

In order to adjust for overcounting, we divide by 3! because of the 3 red light bulbs we have. For the 2 yellow light bulbs, we divide with 2!. For the 6 pink light bulbs, we divide by 6!. This is because we are treating lights bulbs of the same color which are identical.

Therefore, the total number of distinct orders of bulbs will be:

11! / (3! × 2! × 6!) = 4,620

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Based on the amount that each entity donates every month, the month that HBM Corporation will surpass Gades Foundation is the 6th month.

Find the Gades Foundation cumulative donations up to month 7:

Month       Donation                      Cumulative

     1             250                                250

     2             100                                350

     3            100                                450

     4             100                                550

     5             100                                650

     6             100                                750

     7            100                                850

HRM Cumulative donations up to month 7:

Month       Donation                      Cumulative

     1             64                                 64

     2             48                                112

     3            84                                 196

     4             147                                343

     5             257                               600

     6             450                               1,050

     7             787.50                           1,837.50

The donations are calculated as:

Month 2:

= 64 x (75%)

= $48

Month 3:

= 48 x ( 1 + 75%)

= $84

We see that from the above, HBM Corporation surpassed the Gades Foundation in Month 6.

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Answer:

1 dz  to make 12 muffins

1 7/24 dz to make 15.5 muffins

Step-by-step explanation:

How many dozen (dz) eggs are needed to make 12 muffins?

See answer options, we are looking for an option with dz indicated along with the number:

The correct option is:

So 1 dozen of eggs required for 12 muffins, that is 12 eggs for 12 muffins or 1 egg for 1 muffin or 1/12 dz per muffin

To get 15.5 muffins:

Or in dozens:

Answer:

hope it helped

Step-by-step explanation:

6/7 12/14 18/21

We can begin by rewriting the sentence in a more convenient way:

"If I don't eat too much, I'll exercise."

The phrase speaks about an action (exercise) that is going to be done provided a condition is fulfilled (don't eat too much) This is a conditional.

p = I eat too much

~p = I don't eat too much.

Then, if ~p happens, then q will happen

We can write this as

~p->q

With this, the correct answer is option D.

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

243/506

Step-by-step explanation:

There are 24 total juice boxes.

18 of them are not grape

You have an 18/24 chance of picking not grape juice

The second time, 1 is removed, then another is removed. This creates:

(18/24)*(18/23)*(18/22) = 243/506

Answer:

\([1, -4 ,5]\)

Step-by-step explanation:

In this question we are multiplying together two matrices. When we multiply a (1 x 3) matrix with a (3 x 3) matrix, we get a (1 x 3) matrix.

To compute each value, all you need to do is take the each value in each row in the first matrix, and multiply it by each value in each column of the second matrix and add up the result. So let's do that.

\(a = (2 * 1) + (1 * -1) + (0 * 0) = 2 - 1 + 0 = 1\)

\(b = (2 * -1) + (1 * -2) + (0 * 1) = -2 -2 = -4\)

\(c = (2 * 2) + (1 * 1) + (0 * 1) = 4 + 1 + 0 = 5\)

Answer:

Answer:

The 4th option is correct. a+b = b+a

Step-by-step explanation: