1. Mr. Samuel had 13 notes in his wallet. They consist of $1. $5 and $10 notes. The total amount of the notes adds up to $93. How many $10 notes are there in his wallet?​

Answer:

Step-by-step explanation:

Let x and y be the large (x) and small (y) vases the potter makes in one week.

We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase.  The combination of large and small vases made in one week thus requires a total time of:

          6x + 1.5y = total hours/week

We are told that the potter works 30 hours per week, so:

        6x + 1.5y = 30 hours

We also learn that she needs to make at least 6 vases in a week, so:

        x + y => 6

Plot the two equations:

6x + 1.5y = 30, and

x + y => 6

This will produce the attached grap, Vases1.  The inequality appears as the shaded area in the upper area.  Any point in the shaded area satisfies the inequality of x + y => 6.  The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).

The lines intersect at (4.67,1.33).  This represents a fictional combination of 4.67 large and 1.33 small vases.  This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours.  If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0).  (x,y or large,small).  All combinations result in 6 vases, but eould require less than the 30 hours of time available.  Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4).  This area is shown in Vases2.  The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.

Answer:

C. (x - 1) (x^2 + x +1 )

Step-by-step explanation:

    x^2       +x       +1  

x   x^3     x^2     x

-1  -x^2       -x       -1

If you multiply it out it equals the answer

The $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

It is defined as the tax rate applied on the solely earned money by a single entity.

Latonya salary per year = $50,000

If Latonya's salary will be taxed at the 10% rate, then she needs to pay tax:

[tex]= $50,000\times10\%[/tex]

[tex]=50000\times \frac{10}{100}[/tex]

[tex]= \$ 5000[/tex]

If Latonya's salary will be taxed at the 28% rate, then she needs to pay tax:

[tex]= \$50,000\times28\%[/tex]

[tex]=50000\times \frac{28}{100}[/tex]

[tex]= \$14000[/tex]

Thus, the $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

Learn more about the income tax here:

brainly.com/question/17075354

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

Answer:

if that statement is true, then DE=ST, and ST=4 so your answer should be DE=4

Explanation:

you can tell that they are even from looking at the first statement, it states DEF=STU, emphasizing on the DE=ST part, it gives your the answer right there because ST=4

Answer:

the answer is C.

Step-by-step explanation:

I know this because i am smart...
And katie is going to delete this so id.k why im even trying but #yolo

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TOri

If all of their dresses are fit for the kids, the possible way to dress them is 3*4*5=60

But one dress is out grown for the third child. Hence, the combination that are not possible.

3*4*1=12

So total number of possible ways are :

3*4*5 - 3*4*1=48

Hence the answer is option D.

Answer:

45.2pi inches

Step-by-step explanation:

C=2×pi×r

since the answers already have pi we don't need to multiply it

C=2×22.6 = 45.2pi inches

Answer:

A. 22.6π

Step-by-step explanation:

Given:

22.6 inches across = diameter

What we need to find is how much ribbon do we need, so we use the formula:

C = 2πr

C = Circumference

r = radius = half diameter

Since we know the diameter, we do half of it to get the radius

22.6 ÷ 2 = 11.3

radius = 11

Now we substitute this into the formula:

C = 2πr

Substitute radius into formula

C = 2π(11.3)

Multiply 2 and 11.3

C = 22.6π

the question requires:

the time t required.

the equation of the inverse variation.

how do find t:

first we determine how much the tank holds by multiplying 120 by 40.

the tank holds 4800 gallons.

so now to find t we can use the formula v = d/t where d is the 4800 gallons.

so: t = d/v

t = 24 minutes

now for the equation of the inverse variation.

we can say that the equation is t = d/v since t and v are inversely proportional.

note that v and t stand for velocity and time respectively.

make sure to ask if you need any further guidance!!

Answer:

t = 24

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

-15

Hope it helps.

Do comment if you have any query.

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

1) Set up an equation that involves all of the values; the price and kg of each duck and chicken equating to 206.40.

[tex]8.50(x) + 3.60(2x + 5) = 206.40[/tex]

[tex]8.50x + 7.2x + 18 = 206.40[/tex]

2) Solve it.

[tex]15.7x + 18 = 206.40[/tex]

[tex]15.7x = 206.40 - 18[/tex]

[tex]15.7x = 188.4[/tex]

[tex]x = \frac{188.4}{15.7}[/tex]

[tex]x = 12[/tex]

Answer:

x=3

Step-by-step explanation:

The equation is written in the form ax2+bx+c. As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by x=−b2a.

−(−6)2(1) = 62=3

Substituted this value of x back into the equation to find the y coordinate.

y=(3)2−6(3)+2

y=9−18+2

y=−7q

So the vertex of the line is at (3,-7)

The expression a/b * c/d is an illustration of number types

The expression is given as:

a/b * c/d

Next, we test the given numbers

(a) 8.96

Express 8.96 as a fraction

8.96 = 896/100

Express the numerator and the denominator as products

8.96 = (224 * 4)/(50* 2)

Split the fraction

8.96 = 224/50 * 4/2

The above equation shows that 8.96 can be written in the form a/b * c/d.

Hence, the truth value of 8.96 is yes

(b) 5√6

Express 5√6 as a product expression

5√6 = 5 * √6

Evaluate the product

5√6 = 12.2474.....

The result of 5√6 is a non-terminating decimal

Hence, the truth value of 5√6 is no

(c) 15

Express 15 as a fraction

15 = 90/6

Express the numerator and the denominator as products

15 = (9 * 10)/(3 * 2)

Split the fraction

15 = 9/3 * 10/2

The above equation shows that 15 can be written in the form a/b * c/d.

Hence, the truth value of 15 is yes

(d) π/4

Express π as 22/7

π/4 = 22/7/4

Rewrite the expression as products

π/4 = 22/7 * 1/4

The above equation shows that π/4 can be written in the form a/b * c/d.

Hence, the truth value of π/4 is yes

Read more about numbers at:

https://brainly.com/question/24670740

Answer:

First, add the two mixed numbers together.

[tex]1 + 2 = 3[/tex]

[tex]4/7 + 3/14 = 11/14[/tex]

Combine the equation and number.

 [tex]3 + 11/14 = 3 \frac{11}{14}[/tex]

  [tex]3\frac{11}{14} + 1/2 =[/tex] 4 2/7

Therefore, the answer is 1/2

Answer:

5 units

Step-by-step explanation:

Let's assume point (5,1) to be C

according to the picture we know AC= 3 and BC=4

Applying pythagorean theorem: a^2+b^2=c^2

(AC)^2+(BC)^2=(AB)^2

3^2+4^2=(AB)^2

9+16= (AB)^2

AB^2=25

AB=5

Answer:

0

Step-by-step explanation:

[tex]slope \: of \: a \: line = \frac{y2 - y1}{x2 - x1} = \frac{b - b}{c - a} = \frac{0}{c - a} = 0[/tex]

Answer:

x -2    y + 2

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Use the key to find the ages:

24, 26, 28, 28

33, 36, 36

40, 40 , 47, 47, 48

52, 53, 55, 55, 55, 56, 57, 58

63, 64, 64

Find the greatest number of common ages: 55

Using it's formula, it is found that the population density of the penguin population was of 134.9 penguins per square acre.

It is given by the population divided by the area.

In this problem:

Hence:
D = 6342/47 = 134.9 penguins per acre.

More can be learned about population density at https://brainly.com/question/26148357

#SPJ1

Answer:

[C] [tex]\frac{\pi }{2}\;radians[/tex]

Step-by-step explanation:

The ray in the terminal position, after the rotation is call the "terminal side of the angle."

Note that quadrant of the unit circle of any given angle the radians would be in:

Quad I → 0 < θ < pi/2

Quad II → pi/2 < θ < pi

Quad III → pi < θ < 3pi/2

Quad IV → 3pi/2 < θ < 2pi

Hence, Answer is [C]  pi/2 radians

~lenvy~

Answer:

390

[tex]\frac{26x30}{2} =390[/tex]

Hope This Helps! :)

Answer:

1. the, from, although, won't he, ourselves

2. The father said to his son that he was happy with him. My laptop has been stolen by somebody. He wants to die in the village where he was born.

3. was, worked

Step-by-step explanation:

Hope this helps!

Answer:

$32

Step-by-step explanation:

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

ps: This is a quadratic function of equation

[tex]f(x) = - x {}^{2} + 4[/tex]

Write both fractions in terms of a common denominator. In this case, it's the least common multiple of 6 and 12, which is 12 = 2•6. So multiply the first fraction by 2/2, then simplify:

[tex]\dfrac46 - \dfrac3{12} = \left(\dfrac22\times\dfrac46\right) - \dfrac3{12} = \dfrac{2\times4}{2\times6}-\dfrac3{12} = \dfrac8{12}-\dfrac3{12} = \dfrac{8-3}{12} = \boxed{\dfrac5{12}}[/tex]

Answer:

I think it would be 1/8 but that is a strong maybe

The value of the function when x = 2 will be 9. The value is obtained by putting the value 2 in the place of x.

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The given function in the problem is;

[tex]\rm f(x) = 2x^2 - 3x + 7[/tex]

On putting x =2 we get;

[tex]\rm f(2) = 2(2)^2 - 3(2) + 7 \\\\\ f(2) = 2(4) - 3(2) + 7 \\\\ f(2) = 8 - 6 + 7 \\\\ f(2) = 9[/tex]

Hence the value of the function when x = 2 will be 9.

To learn more about the function refer to the link;

https://brainly.com/question/12431044

Answer:

a

Step-by-step explanation:

Answer:

6.7 per unit

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Triangle angle = 180

First we add!

58 + 90 + c = 180

148 + c = 180

Now we subtract!

180 - 148 = c

32 = c

Have an amazing day!!

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Answer:

V ≈ 78.54

Step-by-step explanation: