how many pieces are there in 215 dozen ​elementary school

Answer: x = -2 and y = -5

We are given two system of equations

-6x - 2y = 22 ---------------- equation 1

-12x + 10y = - 26------------- equation 2

These two system of equations can be solve simultaneously using elimination method

Before we can apply elimination method, we need to make one of the variables equal in both equations

Let us eliminate x

To make the co -efficient of x equal in both equations, Multiply equation 1 by 2 and equation 2 by 1

-6x - 2y = 22 * 2

-12x + 10y = -26 * 1

This becomes

-6x * 2 - 2y* 2 = 22*2

-12x*1 + 10y *1 = -26 * 1

-12x - 4y = 44------------------- equation 3

-12x + 10y = -26 --------------- equation 4

To eliminate x, substract equation 4 from equation 3

-12x - (-12x) - 4y - (10y) = 44 - (-26)

-12x + 12x -4y -10y = 44 + 26

0 - 14y = 70

-14y = 70

Divide both sides by -14

To find x, substitute the value of y = -5 into equation 1

-6x - 2y = 22

-6x - 2(-5) = 22

-6x + 10 = 22

-6x = 22 - 10

-6x = 12

Divide both sides by -6

Hence, x = -2, and y = -5 : (-2, -5)

Answer:

he sample standard deviation for Car 1 is 8.2 miles and the sample standard deviation for Car 2 is 9.3 miles.

Step-by-step explanation:

After 5.94 sec it will reach at maximum height.

An algebraic equation of the second degree in x is a quadratic equation. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the standard quadratic equation.

y = -16a² + 190x + 72

for maximum y value we need to find y'(x)

y' = -32x + 190

put y' = 0

-32x + 190 = 0

x = 5.94 sec

so after 5.94 sec it will reach at maximum height.

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3/4 cups of water would need for only one cup of Pancake mix.

From the question, we have

1-1/2 cups water would he need for every 2 cups of pancake mix.

3/2 cups water would he need for every 2 cups of pancake mix.

Required cups water for only one cup of Pancake mix = 3/(2*2)

=3/4

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

3/4 cups of water would need for only one cup of Pancake mix.

From the question, we have

1-1/2 cups water would he need for every 2 cups of pancake mix.

3/2 cups water would he need for every 2 cups of pancake mix.

Required cups water for only one cup of Pancake mix = 3/(2*2)

=3/4

Step-by-step explanation:

Answer:

b) $472.50

Step-by-step explanation:

The sale price will be,

→ (600/100) × (100 - 25)

→ 6 × 75

→ $450

Now the final price will be,

→ 450 + ((450/100) × 5)

→ 450 + (4.5 × 5)

→ 450 + 22.5

→ $472.50

Hence, the price of $472.50.

The final price of the gaming system is $472.50, which is the correct answer would be option (B).

The percentage is defined as a ratio expressed as a fraction of 100.

A gaming system costs $600 and is on sale for 25% off. After the discount, there is a 5% tax.

To determine the final price of the gaming system, we need to first calculate the discount and then add the tax.

The discount is 25% of the original price, or 25% x $600 = $150.00.

So the price after the discount is $600 - $150 = $450.00.

The tax is 5% of the price after the discount, or 5% x $450 = $22.50.

Therefore, the final price of the gaming system is $450 + $22.50 = $472.50.

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Applying the Pythagoras Theorem, the length of RS = 8 units.

According to the figure,

Diameter = 16 +4 = 20 units

So, the Radius = Diameter/2 = 20/2 = 10 units

Now,

Let the center be M, then

MT = 10 - 4 = 6 units

RT = x units

The radius is perpendicular to the chord,

So, MTR will be a right-angled triangle,

We will apply the Pythagoras theorem,

So, we have :

[tex]RT^{2} +TM^{2} =RM^{2}[/tex]

Here, RT = x units

TM = 6 units and RM = radius = 10 units

Putting these values in the Pythagoras theorem,

[tex]x^{2} +6^{2} =10^{2}\\x^{2} + 36 = 100 \\x^{2} = 100 - 36 = 64\\x^{2} = 64 \\x = 8[/tex]

Thus, the length of RS = 8 units.

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The Little Rock Nine were a group of African American students who were held by the National Guard on September 4, 1957, while attending class at Little Rock Central High School in Little Rock, Arkansas.

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Answer:

24 ft by 15 ft

Step-by-step explanation:

Let l be the length of the garden. Then

l - 9 is the width of the garden.

[tex]l(l - 9) = 360[/tex]

[tex] {l}^{2} - 9l = 360[/tex]

[tex] {l}^{2} - 9l - 360 = 0[/tex]

[tex](l - 24)(l + 15) = 0[/tex]

[tex]l = 24[/tex]

[tex]l - 9 = 15[/tex]

(since l + 15 = 0 will give a negative value for l).

So the dimensions of this garden are 24 ft and 15 ft.

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

I believe your question is:

For what value of [tex]x[/tex] does [tex]3^{2x}=9^{3x-4}[/tex]?

—

First, rewrite [tex]9[/tex] as [tex]3^2[/tex]:

[tex]3^{2x}=(3^2)^{3x-4}[/tex]

Then, use exponentiation to apply the [tex](a^b)^c=a^{bc}[/tex] rule:

[tex]3^{2x}=3^{2(3x-4)}[/tex]

Rewrite the expression as a non-exponential one since the bases ([tex]3[/tex]) are equal on both sides:

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

Distribute the [tex]2[/tex]:

[tex]2x=6x-8[/tex]

Subtract [tex]6x[/tex] from both sides:

[tex]-4x=-8[/tex]

Divide both sides by [tex]-4[/tex]:

[tex]x=2[/tex]

Answer:

Quotient = x² - 3x + 5

Remainder = 9

Explanation:

To make the synthetic division, we need to rewrite the dividend with all the degrees of the exponents, so:

x³ - 4x + 6 = x³ + 0x² - 4x + 6

Then, we will use the coefficient of each term: 1, 0, -4 and 6

On the other hand, the divisor should have the form (x - a), so:

x + 3 = x - (-3)

Therefore, a = -3, and we will use this number for the synthetic division.

Finally, the synthetic division is:

Where the first number goes down, then the blue -3 is calculated as the number as 1 x -3, and the yellow -3 is equal to the sum of the number numbers 0 and -3, so: 0 + (-3) = -3

In the same way, 9 = -3 x -3 and 5 = -4 + 9

Finally, -15 = 5 x -3 and -9 = 6 - 15

Now, the coefficients 1, -3, and 5 give us the quotient of the division, and -9 is the remainder. So, the solution of the division is:

Answer:

Step-by-step explanation:

a.

5kg = 5000 g

5000 ÷ 125 = 40

Mary can make 40 packets

b. 40 x 99 = 3960

3960 ÷ 100 = 39.60

39.6 - 25 = 14.6

Therefore, Mary makes a profit of £14.6

We can solve the problem by using the probability binomial distribution model. The formula is:

Recall that:

Given:

number of samples(n) = 8

x = 3

8% of all major bridges in that city will have ratings of 4 or below implying that the probability of a bridge having a rating of 4 or below is 0.08.

Hence,

The probability that in a random sample of 8 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020 would be:

Probability of at most 2 can be reduced to:

Evaluating the expression, we have:

The probability that at least 3 will have a rating of 4 and below:

Answer:

0.02110

Answer:

h = 30

Step-by-step explanation:

This problem is asking us to solve for h.

If you divide, multiply, subtract both sides of a equation by the same number, the  final result will stay the same.

1) Divide 7 on both sides.

[tex]\frac{7(h-22)}{7} =\frac{56}{7}[/tex]

2) Simplify.

h-22 = 8

3) Add 2 on both sides.

h - 22 + 22 = 8 + 22

4) Simplify.

h = 30

Solution'

To find the groups profit:

The formula for profit = Total income - Total cost

Cost of the muffin sales = since it cost $3.50 to bake a muffin

1 dozen = 12 (3.50) = $42

For a youth group of 15

The total cost of sales = 15 x 42 = $630

profit = total income - total cost

Profit = $1035 - $630

Profit = $405

El camión con capacidad de 3 toneladas viajó 12 veces y el camión con capacidad de 4 toneladas viajó 11 veces.

En este problema encontramos dos camiones, uno de ellos con una capacidad de 3 toneladas y otro con capacidad de 4 toneladas, que desplazan 80 toneladas de madera en un total conjunto de 23 viajes. El total movido por cada camión es igual al producto del número de viajes y la capacidad de los camiones. Por tanto, el total desplazado de madera es igual a la siguiente ecuación:

3 · x + 4 · (23 - x) = 80

Donde x es la cantidad de viajes del camión de 3 toneladas de capacidad.

A continuación, despejamos la variable x:

3 · x + 4 · (23 - x) = 80

3 · x + 92 - 4 · x = 80

92 - x = 80

x = 92 - 80

x = 12

El primer camión viajó 12 veces y el segundo camión viajó 13 veces.

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Given the measure:

202 grams

Let's convert the measure from grams to ounces.

Apply the standard metrics measure, where:

1 gram = 0.035274 ounce

Thus, we have:

202 grams = 202 x 0.03527 = 7.125 ounces.

Therefore, the converted measure in ounces is 7.125 oz

ANSWER:

7.125 oz

8.

A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex. So:

Therefore:

We can conclude that:

Is an isosceles triangle

Answer:

[tex]\frac{1}{2}+ \frac{\sqrt{3} }{4}[/tex]

Step-by-step explanation:

Refer to the triangle diagrams I attached. Use SOH CAH TOA

[tex]sin(45)*cos(45)+sin (30)* sin (60)[/tex]

The exact value of sin(45) is [tex]\frac{\sqrt{2} }{2}[/tex]

[tex]\frac{\sqrt{2} }{2}*cos(45)+sin (30)* sin (60)[/tex]

The exact value of cos(45) is [tex]\frac{\sqrt{2} }{2}[/tex]

[tex]\frac{\sqrt{2} }{2}*\frac{\sqrt{2} }{2}+sin (30)* sin (60)[/tex]

Multiply [tex]\frac{\sqrt{2} }{2}*\frac{\sqrt{2} }{2}[/tex].

[tex]\frac{\sqrt{2}^{2} }{4}+sin (30)* sin (60)[/tex]

Rewrite [tex]{\sqrt{2}^{2}[/tex] as 2.

[tex]\frac{2}{4} +sin (30)* sin (60)[/tex]

Simplify

[tex]\frac{1}{2} +sin (30)* sin (60)[/tex]

The exact value of sin(30) is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2} +\frac{1}{2} * sin (60)[/tex]

The exact value of sin(60) is [tex]\frac{\sqrt{3} }{2}[/tex]

[tex]\frac{1}{2} +\frac{1}{2} * \frac{\sqrt{3} }{2}[/tex]

Simplify

[tex]\frac{1}{2}+ \frac{\sqrt{3} }{4}[/tex]

Total number of players is 34.

What do you mean by algebraic expression?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.An algebraic expression is a mathematical phrase that includes variables, constants, coefficients, and algebraic operations.

Variables and constants can both be used in an algebraic expression.

It is given that a soccer team assigns jersey numbers to its players using the formula 7y - 3x where x and y are chosen at random.

Now, we have x = -2 and y = 4

Substitute these values in above expression we get,

7(4) - 3(-2) = 28 + 6 = 34

Therefore, total number of players is 34.

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The rate increases by a factor of 9 when the concentration is tripled.

It is given to us that the rate law is -

[tex]R=k(NO_{2} )^{2}[/tex] ----- (1)

We have to find out the change in the rate if the concentration is tripled.

When the concentration is tripled, we can rewrite the equation (1) as -

[tex]R_{new} =k(3*NO_{2} )^{2}\\= > R_{new} =9*k(NO_{2} )^{2}\\= > R_{new} =9R[/tex][From equation (1)]

Thus, we see that the rate increases by a factor of 9 when the concentration is tripled.

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Answer: 1/5 would be your answer!

Divide them both by 18 and you get 1/5

hope this helps :)

x = -0.6

The equation that represents this scenario is:

0.7x + 0.1*3 = 0.4(x + 3)

Solving for x, we have:

0.7x + 0.3 = 0.4x + 0.12

0.7x - 0.4x = 0.12 - 0.3

0.3x = -0.18

x = -0.18/0.3

= -0.6

37.5 is the answer for your question

The ratio of the graph X: Y is 1:9.

What is a straight-line graph?

The graph follows a straight-line equation shows a straight line graph.

equation of a straight line is   y=mx+cy represents the vertical line y-axis.

x represents the horizontal line x-axis.    

m is the slope of the line

            slope(m)=tan∅=y axis/x axis.

c represents y-intercepts (it is the point at which the line cuts on the y-axis)

Straight-line graphs show a linear relationship between the x and y values.

Calculation:-

The slope of X = 10/100 = 1/10

The slope of y = 90/100 = 9/10

Therefore the ratio of X: Y

= 1/10 × 10/9

 = 1:9

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Here, we want to know what the constant reveal

The growth factor inside the bracket as can be seen is greater than 1

It can also be less than 1

When it is greater than 1, there is an indication of a positive change from year to year

1.85 is greater than 1 and as such, we have an indication for a positive change

That means, as the years roll by, there will be a greater value of the quantity

Hence, as t increases, f(t) increases

To find the percentage growth rate, we subtract 1 from the growth value which is (1.85-1) = 0.85

0.85 represents a percentage of 85%; and thus there is a growth rate of 85% per year

Answer:

[tex]y=-\frac{5}{4}x+6[/tex]

Step-by-step explanation:

[tex]m=\frac{-4-1}{8-4}=-\frac{5}{4} \\ \\ y-1=-\frac{5}{4}(x-4) \\ \\ y-1=-\frac{5}{4}x+5 \\ \\ y=-\frac{5}{4}x+6[/tex]

Answer:

y=-1.25x+6

Step-by-step explanation:

use slope formula to find slope

y2-y1/x2-x1

-4-1/8-4

-5/4

-1.25

y=-1.25x is the equation we can make with this slope and fill in the equation with one of the coordinates to find y intercept

1=-1.25(4)

1=-5

We need to add 6 for this to be true so y intercept is 6

The equation is

y=-1.25x+6

Hopes this helps please mark brainliest

Given:

The volume of the cubic prism is 45 cubic inches.

Let the side length = x

So,

Taking the cubic root of 45

So, the answer will be the side length = 3.557 inches

The area of the sector of the circle is about 0.3 dm².

A circle is a two-dimensional figure made up of points that are spaced out from a fixed point (center) on the plane by a fixed or constant distance (radius).

Given that, the radius of the circle is r = 0.5 dm and the angle of the sector is v = 135°

The sector area of the circle is given by:

A = (v/360°) × πr²

Substitute the values:

A = (135°/360°) × (3.14)(0.5)²

A = 0.375 × 3.14 ×0.25

A = 0.3

Hence, the area of the sector of the circle is about 0.3 dm².

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a=2

Explanation

Step 1

subtract 10 in both sides

Step 2

divide each side by 4