doug has 45 coins worth $9.00. The coins are all quarters or dimes. How many of each type of coin dose doug have?

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Graph one line at a time in the same coordinate plane and shade the half-plane that satisfies the inequality.

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Answer:

301.59 or estimated value is 301.60

first you have to find the circumference and then multiply the height by the circumference.

hope it helps

The quotient is 212.96.

Solution:

Given expression is [tex]\frac{212,960}{1000}[/tex].

Divide the given expression to find the quotient.

Decimal rule when numerator is divided by 10, 100, 1000, 10000 etc..

[tex]$212960\div1000=\frac{212960}{1000}[/tex]

Here, we have 3 zeros in the denominator.

So, the decimal point is move 3 digit to the left of the last digit.

[tex]$212960\div1000=212.96[/tex]

So, option C is the right answer.

Hence the quotient is 212.96.

Answer:212.96

Step-by-step explanation:

Answer:

Area of the garden is [tex]306feet^2[/tex]

Step-by-step explanation:

Given:

Perimeter of the garden=84 feet

Let the width of the garden be 'W'

Length of the garden is 24 feet longer than the width of it

so, length of the garden= W+24 feet

To find the width 'W'

Perimeter of a rectangle= 2(Length+Width)

                                      [tex]84 =2(W+24+W)\\ 84 =4W+48\\ 84-48=4W\\ 4W=36\\ W=9[/tex] feet

Width=9 feet

Length=W+24= 9+24= 34 feet

Area of the garden= Length*width

                                 [tex]=34*9\\ =306 feet^2[/tex]

Area of the garden is 306 square feet

Answer:

One-sixth x + 47

1 and two-thirds x + 35 minus 1 and one-half x + 12

1 and one-third x + 35 minus 1 and one-half x minus 12

Step-by-step explanation:

The original expression in this problem is

[tex]5(\frac{1}{3}x+7)-3(\frac{1}{2}x-4)[/tex]

We start by applying the distributive property and multiplying each factor outside the brackets by each factor inside:

[tex]5\cdot \frac{1}{3}x+5\cdot 7 -3\cdot \frac{1}{2}x+3\cdot 4[/tex]

So we get:

[tex]\frac{5}{3}x+35-\frac{3}{2}x+12[/tex]

Now we can rewrite this using mixed fractions:

[tex]1\frac{2}{3}x+35-1\frac{1}{2}x+12[/tex] (1)

Which can be also written as

[tex]1\frac{2}{3}x+35-(1\frac{1}{2}x-12)[/tex] (2)

And finally, by solving it, we find

[tex]\frac{1}{6}x+47[/tex] (3)

So the three correct options are

One-sixth x + 47

1 and two-thirds x + 35 minus 1 and one-half x + 12

1 and one-third x + 35 minus 1 and one-half x minus 12

Answer:

The percentage of Guanine will be 17%

Step-by-step explanation:

As we know from Chargaff's rule, DNA from any organism will  contain 1:1 purine and pyrimidine ratio.

so, The adenine (Purine) ratio is 33% because the Thymine is 33%(Pyrimidine)

Then Guanine (Purine) will be 17% because the Cytosine (Pyrimidine) is  17%

Answer:

2(x + 3)(4x + 1)

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = length × width

length = 2(x + 3)

width = 2x + x + 1 + x = 4x + 1

Thus

A = 2(x + 3)(4x + 1)

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

[tex]h(t)=-16t^2+40t+5[/tex]

we know that

When the ball hits the ground, the height is equal to zero

so

[tex]-16t^2+40t+5=0[/tex]

The formula to solve a quadratic equation of the form

[tex]at^{2} +bt+c=0[/tex]

is equal to

[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]-16t^2+40t+5=0[/tex]

so

[tex]a=-16\\b=40\\c=5[/tex]

substitute in the formula

[tex]t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}[/tex]

[tex]t=\frac{-40\pm\sqrt{1,920}} {-32}[/tex]

[tex]t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec[/tex]

[tex]t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec[/tex]

therefore

The solution  is t=2.62 seconds

Answer:

a) 165.52 degrees.

b)  131.41 degrees.

c)  118.96 degrees.

d)  159.73 degrees.

Step-by-step explanation:

The sine of an obtuse angle is positive as it is in the second quadrant.

a) Using a calculate the angle whose sine ( arcsin) is 0.25  = 14.478 degrees

so the obtuse angle  = 180 - 14.478 = 165.52 degrees to nearest hundredth

b) c) and d) are calculated in the same way.

Answer: use calculated

Step-by-step explanation:

Calculator

Answer:

Everything

Step-by-step explanation:

-6(n-8)=4(12-5n)+14n    Given

-6n+48=48-20n+14n    Distribute

-6n+48=48-6n          Simplify

-6n=-6n                Subtraction Property of Equality(Subtract 48 from both sides)

n=n                   Division Property of Equality(Divide both sides by -6)

Answer:

[tex]x=27[/tex]

Step-by-step explanation:

we know that

[tex](3x+9)^o+90^o=180^o[/tex] ----> by supplementary angles (form a linear pair)

Solve for x

Combine like terms

[tex](3x+99)^o=180^o[/tex]

subtract 99 both sides

[tex]3x=180-99\\3x=81[/tex]

Divide by 3 both sides

[tex]x=27[/tex]

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

[tex]c^2=a^2+b^2-2abcos\theta[/tex]

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

[tex]$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Given ∠P and the sides r, q are known.

To find the value of p:

Option A: Law of cosines, all sides are known.

It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

The expression which gives the length of the transverse axis of the hyperbola is; Choice D; a-b.

The transverse axis is by definition, a line segment that passes through the center of the hyperbola and has vertices as its endpoints. The foci therefore lies on the line that contains the transverse axis. Hence, it follows that the correct answer choice is; a-b.

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Answer:

B) 0.45

Step-by-step explanation:

The total number of students is:

4 + 5 + 4 + 6 + 10 + 8 + 2 + 1 = 40

The number of students with brown hair is 10 + 8 = 18.

So the probability is:

P = 18/40 = 0.45

Answer:  B.) 0.45

~~~~~~~~~~~~~~

Answer:

(5/2, -9/4)

Step-by-step explanation:

Answer:

It is given that [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] are complimentary angles.

[tex]m\angle ABC + m\angle CBD = 90 \textdegree[/tex] using the definition of complementary angles.

given that [tex]m\angle ABC = 35 \textdegree .[/tex] Using the substitutive property

[tex]35 \textdegree + m \angle CBD = 90\textdegree[/tex]

Therefore, using subtraction property of equality [tex]m \angle CBD = 55 \textdegree[/tex]

Step-by-step explanation:

It is given that [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] are complimentary angles.

[tex]m\angle ABC + m\angle CBD = 90 \textdegree[/tex] using the definition of complementary angles.

given that [tex]m\angle ABC = 35 \textdegree .[/tex] Using the substitutive property

[tex]35 \textdegree + m \angle CBD = 90\textdegree[/tex]. Therefore, using subtraction property of equality [tex]m \angle CBD = 55 \textdegree[/tex]

Answer:

25

Step-by-step explanation:

Solving the inequality

x - 3 ≥ 2 ( add 3 to both sides )

x ≥ 5

Thus the least value of x is x = 5, hence

least possible value of 5x = 5(5) = 25

Final answer:

The least possible value of 5x, when x-3≥2, is 25, as x must be at least 5, and 5x equals 25 when x is 5.

Explanation:

The student's question asks to find the least possible value of 5x given the inequality x-3≥2. To solve this, we first find the smallest value of x that satisfies the inequality. We add 3 to both sides of the inequality to isolate x, obtaining x≥3+2, which simplifies to x≥5. Therefore, the smallest value of x is 5. Now, we multiply this value by 5 to find the least possible value of 5x, which is 5×5=25.

Answer:

y=-65/9

Step-by-step explanation:

12(5+2y)=4y-(5-9y)

60+24y=4y-5+9y

60+24y=13y-5

60+24y-13y=-5

60+9y=-5

9y=-5-60

9y=-65

y=-65/9

The value of y that satisfies the equation is y = -65/11.

The equation is given as follows:

12(5+2y) = 4y - (5 - 9y)

To find the value of y that satisfies the equation, we can solve for y by simplifying the equation.

Given equation:

12(5 + 2y) = 4y - (5 - 9y)

First, let's simplify both sides of the equation:

60 + 24y = 4y - 5 + 9y

Next, let's combine like terms:

24y - 4y - 9y = -5 - 60

Simplifying further:

11y = -65

Finally, divide both sides of the equation by 11 to solve for y:

y = -65/11

Therefore, the value of y that satisfies the equation is y = -65/11.

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Answer:                                                            

it would be 7/10

The required value of the 7 in the number is 1/10th of the given number.

Given that,
The value of 7 in the number 82.76, is to be determined.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The number 82.76 = 8 × 10 + 2 × 1 + 1/10×7 + 1/100×6
So the position of the value 7 in the given number from the above expression is given as 1/10th.

Thus, the required value of the 7 in the number is 1/10th of the given number.

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Answer:

The answer is C) Very good = 18 Good = 55 Neutral = 27

Step-by-step explanation:

The answer is C) Very good = 18 Good = 55 Neutral = 27

the other person was right

and i feel really bad that somebody else got their answer deleted

Answer:

1/7

Step-by-step explanation:

Heads: 1/2

Accomplished: 14 letters

Accomplished: 4 vowels

P(vowel) = 4/14 = 2/7

P(H and vowel) = 1/2 * 2/7 = 1/7

Final answer:

The probability of tossing a head and then selecting a vowel from the word 'accomplishment' is 3/28 or approximately 0.107.

Explanation:

The question asks us to find the probability of getting a head on a coin toss and then picking a vowel from the word 'accomplishment'. First, we determine each probability separately. The probability of getting a head when tossing a fair coin is 1/2, as there are two outcomes (head or tail), and getting a head is one of them.

The word 'accomplishment' has 14 letters, of which 3 are vowels (a, o, i). Therefore, the probability of picking a vowel at random from 'accomplishment' is 3/14. To find the combined probability of both events happening in sequence (tossing a head then picking a vowel), we multiply the probabilities of the individual events: (1/2) * (3/14) = 3/28 or approximately 0.107.

Answer:4 is thousands place

3 is hundredths place

8 is tens place

2 is ones place

Step-by-step explanation:

The place value of the underlined number 4,382 is,  

4 is thousands place

3 is hundredths place

8 is tens place

2 is ones place.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

here, we have,

the underlined number 4,382

so, we get the place value,

4 is thousands place

3 is hundredths place

8 is tens place

2 is ones place.

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Answer:

2.4x+15.2

Step-by-step explanation:

Answer:

y=-12x

Step-by-step explanation:

equation to solve with: m=y2-y1/x2-x1

m=8-20/-3-2

Then solve for m which is the slope

m=-12/-1

m=-12

equation: y=-12x

Answer:

$7

Step-by-step explanation:$1.50 + $2.50 will equal to $4. $4 added with$3 would be $7. There's your answer

Answer:

$13.77 for three pounds of beef

Answer:

THE ANSWER WOULD BE $13.77 FOR THREE LBS OF BEEF

Step-by-step explanation:

$4.59 x 3 = $13.77

PLEASE MARK BRAINLIEST IF THIS HELPED I ONLY NEED 1 MORE

Answer: She purchased 8 sports drinks,

Step-by-step explanation:

Let be "d" the number of sports drinks that April purchased and "p" the number of slices of pizza that April purchased.

Set up a System of equations:

[tex]\left \{ {{d=p+3} \atop {2.25p+1.25d=21.25}} \right.[/tex]

In order to solve the System of equations you can use the Substitution Method:

1. Solve for "p" from the first equation:

[tex]d=p+3\\\\p=d-3[/tex]

2. Substitute it into the second equation:

[tex]2.25(d-3)+1.25d=21.25[/tex]

3. Finally, you must solve for "d" in order to find its value. You get that this is:

[tex]2.25(d-3)+1.25d=21.25\\\\2.25d-6.75+1.25d=21.25\\\\3.5d=21.25+6.75\\\\d=\frac{28}{3.5} \\\\d=8[/tex]

Answer:

Step-by-step explanation:

8 sport drinks

The answer is 12 :)

The number of rows she had been completed before Elena started working is 12 rows.

Suppose the considered function whose graph is to be made is

f=f(x) f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values

f=f(x) f(x)

are plotted on the vertical axis.

They are together plotted on the point

f(x)) (x,y) = (x, f(x))

This is why we usually write the functions as:

f(x) y = f(x)

We are given that;

The points= (14,19), (20,22), (30,27)

Now,

To find the number of rows completed before Elena started working, we need to find the equation of the line that passes through the given points on the graph.

Using the slope formula, we can find that the slope of the line is (27-22)/(30-20) = 0.5.

Using the point-slope form of a line, we can write the equation as y - 22 = 0.5(x - 20).

Simplifying the equation, we get y = 0.5x + 12.

To find the y-intercept, which is the number of rows completed before Elena started working, we plug in x = 0 and get y = 12.

Therefore, by the given graph the answer will be 12 rows.

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The complete question is;

Elena agrees to finish a knitting project for a friend. The graph shows the number of rows Elena completes compared to the amount of time spent knitting. The points on graph are (14,19), (20,22), (30,27).

Assuming she worked at a constant rate, how many rows had been completed before Elena started working?