what's 3 and 1 in a half

Final answer:

The 72 feet high pole has a shadow that is 24 feet long, as determined by using proportional relationships between the heights and shadows of two similar triangular shapes formed by the poles and their shadows.

Explanation:

Given the first pole that is 24 feet high has a shadow that is 8 feet long, we can determine the ratio of the height to the shadow length. Since similar triangles have proportional sides, we can apply the same ratio to the second pole that is 72 feet high to find the length of its shadow.

Setting up the proportion, we have:

24 feet (height of first pole) / 8 feet (shadow of first pole) = 72 feet (height of second pole) / x (shadow of second pole).

To solve for x, we cross multiply to get

24 * x = 72 * 8.

Dividing both sides by 24, we get x = 24 feet.

Hence, the shadow of the 72 feet high pole is 24 feet long.

[tex]-3x^2+2y^2+5xy-2y+5x^2-3y^2[/tex]

Combine like terms:

[tex]2x^2-y^2+5xy-2y\\2x^2-y^2-2y+5xy[/tex]

There are 4 terms, 2 terms are negative.

Answer:

The answer is x=84

Step-by-step explanation:

Step 1  X/77

Equation at the end of step 1  24/22 - x/77= 0

Step 2 Simplify 12/11

Equation at the end of step 2 12/11 - x/77 =0

Find lest common multiple left denomaintor is 11 and Right is 77

Now its 12*7-(x)/77= 84-x/77

84-x/77 *77= 0 * 77

subtract 84 from both sides -x=84 multiply both sides of the equation by (-1): x =84

So your answer is 84

24 : 22 = x : 77

x = 24 * 77 : 22

x = 84

-------------------------

24 : 22 = 1,090909090909091

84 : 77 = 1,090909090909091

the answer is good

Yes due to the fact that additive inverse is the oppsite. so she runs up +4 and runs down -4.

There is not much that can be done to figure out how to write .75 as a fraction, except to literally use what the decimal portion of your number, the .75, means. Since there are 2 digits in 75, the very last digit is the "100th" decimal place. So we can just say that .75 is the same as 7/100.

Answer:

D

Step-by-step explanation:

answer was done on khan academy

The equation that can we use to determine m, the number of marbles per pack is 6(4 1/2 m + 2/3)=629.

The correct answer choice is option D.

Number of packs = 6

Total mass of 6 packs = 629g

Mass of each pack = 2/3 g

Mass of each marble = 4½g

Number of marbles per pack = m

Total mass of 6 packs = Number of packs(Mass of each pack) + Number of packs(Mass of each marble × Number of marbles per pack)

629 = 6(2/3) + 6(4½m)

629 = 6(2/3 + 4½m)

Hence, 6(4 1/2 m + 2/3)=629 is the equation to determine the number of marbles per pack?

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Final answer:

To find 3/8 multiplied by 4/5, multiply the numerators together and the denominators together and then simplify the resulting fraction. The solution in simplest form is 3/10.

Explanation:

To multiply two fractions, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. For the multiplication of 3/8 × 4/5, we multiply the numerators 3 and 4 to get 12, and the denominators 8 and 5 to get 40.

The result of this multiplication is 12/40. However, this fraction can be simplified. We notice that both the numerator and the denominator are divisible by 4. Thus, we divide both by 4 to get the simplest form: 12 ÷ 4 is 3, and 40 ÷ 4 is 10, resulting in the fraction 3/10.

So, 3/8 × 4/5 in its simplest form is 3/10.

Oatmeal - $6

Peanut butter - $5

$6 x 2 = $12

$5 x 2 = $10

$12 + $10 = $22

So Shrina made $22 selling cookie dough.

Hope this Helps!!

To accurately calculate the total amount of money Shrina made from selling the cookie dough, we need to know the price per tub for each type of cookie dough, which are oatmeal raisin and peanut butter.

This information is crucial to compute the answer. Hence, without the prices of the oatmeal raisin and peanut butter tubs, it is impossible to determine how much money Shrina made.

Generally, the calculation would look like this:

The total money earned from selling oatmeal raisin tubs would be the quantity of oatmeal raisin tubs sold multiplied by its price per tub. The same calculation would apply to the peanut butter tubs.

Assuming `oatmeal_raisin_price` and `peanut_butter_price` to be the price per tub of oatmeal raisin and peanut butter respectively, and the quantity sold be represented by `oatmeal_raisin_qty` and `peanut_butter_qty`, the total money made, `money_made` would be:

money_made = (oatmeal_raisin_price * oatmeal_raisin_qty) + (peanut_butter_price * peanut_butter_qty)

The above formula would give us the total amount Shrina made from selling the cookie dough. But without the price of each tub, we can't proceed with the calculation.

Simplifying

x + -3(2x + -7) = 76

Reorder the terms:

x + -3(-7 + 2x) = 76

x + (-7 * -3 + 2x * -3) = 76

x + (21 + -6x) = 76

Reorder the terms:

21 + x + -6x = 76

Combine like terms: x + -6x = -5x

21 + -5x = 76

Solving

21 + -5x = 76

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + -5x = 76 + -21

Combine like terms: 21 + -21 = 0

0 + -5x = 76 + -21

-5x = 76 + -21

Combine like terms: 76 + -21 = 55

-5x = 55

Divide each side by '-5'.

x = -11

Simplifying

x = -11

The solution of expression is, x = - 11

We have to give that,

An expression to simplify,

x - 3 (2x - 7) = 76

Now, Simplify the expression as,

x - 3 (2x - 7) = 76

x - 6x + 21 = 76

- 5x = 76 - 21

- 5x = 55

x = - 55/5

x = - 11

Therefore, Solution is, x = - 11

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None

If the discriminant b² - 4ac < 0

There are no real solutions

The equation has no real solutions because  the discriminant is -16.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation by;

ax² + bx + c = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

The discriminant of a quadratic equation explains the nature of the roots of that quadratic equation.

If the discriminant is negative, then the equation has no real roots.

If the discriminant us positive, then the equation has two real roots.

If the discriminant is zero, then the equation has a repeated root.

Since the discriminant is -16, then the equation has no real roots.

b² - 4ac < 0. There are no real solutions

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I believe the answer is b

Answer:

i think its B but im not 100%

Step-by-step explanation:

aw yeah hon it works :) welcome. -20

To find the number of hamburgers sold on Saturday, we can set up an equation and solve for the variable.

Let's represent the number of hamburgers sold as 'x'. We are given that the combined total of hamburgers and cheeseburgers sold is 444, and there were 54 fewer cheeseburgers sold than hamburgers. So, the number of cheeseburgers sold can be represented as 'x - 54'.

The sum of the hamburgers and cheeseburgers sold is 444, so we can write the equation: x + (x - 54) = 444.

Simplifying the equation, we get: 2x - 54 = 444.

Adding 54 to both sides of the equation, we get: 2x = 498.

Dividing both sides of the equation by 2, we get: x = 249.

Therefore, 249 hamburgers were sold on Saturday.

If the salesperson receives a 2% commision on the sale price (which I am assuming) first you want to calculate the sale price.

Total price - 15% * total price

so

275 - (.15*275)

233.75 is the sale price.  

Then take two percent of that

233.75 * .02 = $4.675

They make $4.68 (If rounded to the nearest cent.)

To find the commission received by the sales person, calculate the discounted price of the stereo system and then multiply it by the commission rate.

To find the commission received by the sales person, we first need to calculate the total cost of the stereo system after the discount. The discount is 15% of $275, which is calculated as:

$275 × 0.15 = $41.25

So the discounted price of the stereo system is $275 - $41.25 = $233.75.

Now, we can calculate the commission received by the sales person. The commission is 2% of the total cost, which is:

$233.75 × 0.02 = $4.675

The sales person will receive a commission of $4.675.

The required factorized form of the given expression is y(x - 6)(x + 4), where y is the greatest common factor (GCF).

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.

We have been given that the expression below as

x²y - 2xy - 24y

We have to determine the factor of the expression 50x + 100

First, we have to find the Greatest Common Factor (GCF).

GCF = y

y Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

y(x² - 2x - 24)

Simplify each term in parentheses.

y(x² - 2x - 4x - 24)

y(x - 6)(x + 4)

Therefore, the required factorized form of the given expression is y(x² - y(x - 6)(x + 4)

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The completely factored form of x²y - 2xy - 24y is y(x + 4)(x - 6).

The completely factored form of x²y - 2xy - 24y is y(x + 4)(x - 6).

To factor the given expression, we can factor out the common term 'y' from all three terms: y(x² - 2x - 24). Then, we factor the quadratic expression inside the parentheses: (x + 4)(x - 6). Combining these factors, we get y(x + 4)(x - 6), which is the completely factored form of the given expression.

15 is 30% percent of 50, so Corey spent 30% of his earnings.

Final answer:

Corey spent 30% of his earnings on the new hat, calculated by dividing the amount spent by the total earnings and then multiplying by 100.

Explanation:

To calculate the percentage of earnings Corey spent on the hat, we should find out what portion of his total earnings ($50) was spent ($15).

We can use the formula for percentage: Percentage Spent = (Amount Spent / Total Earnings) × 100.

So, let's plug in the numbers:

Percentage Spent = ($15 / $50) × 100

= 0.3 × 100 = 30%.

Therefore, Corey spent 30% of his earnings on the new hat.

ANSWER:

C - $7.50

REASONING:

If I placed $1,000 in a savings account with an interest rate of 4.5% per month, I would earn $45 in one month.

$1000x.045=$45

If I placed $1,000 in a savings account with an interest rate of 3.75% per month, I would earn $37.50 in one month.

$1000x.0375=$37.50

I would earn an additional $7.50 in one month by placing the money in the savings account with the 4.5% interest rate.

$45-$37.50=$7.50

0.09

Here is how yah do it

The easiest approach is to multiply a number in decimal format by 100. Move the decimal: Another way to convert from decimal to percentage format is to move the decimal two places to the right.

If im correct mark brainliest

Answer: 0.09

Step-by-step explanation: We can change a percent to a decimal by simply moving the decimal point two places to the left. In this example, we would simply move the decimal point two places to the left and we would fill in the missing position with a zero. Now, we can write 9% as 0.9 or 0.09. A common mistake that many people will make is writing 0.9 but you have to move the decimal two places to the left.

I have attached a picture which clearly explains.

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9.

So, if we are dealing with 965000000000000, then the answer would be:

9.65 x 10^14

Final answer:

To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. The solution to the system of equations is x = 1, y = 2, z = 3.

Explanation:

To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. Here are the steps:

Therefore, the solution to the system of equations is x = 1, y = 2, z = 3.

To solve the given system of equations by elimination, eliminate one variable at a time. Solve the new set of equations simultaneously to find the values of the remaining variables.

To solve the given system of equations by elimination, we'll eliminate one variable at a time. First, let's eliminate the variable 'z' by adding the second equation to the third equation. This gives us a new third equation:

2x - 3y + z = 4

+ 3x + 4y - z = -2

------------------

5x + y = 2

Now, let's eliminate the variable 'y' by multiplying the second equation by -6 and adding it to the first equation. This gives us a new first equation:

X - 6y + 2z = 5

- 6(2x - 3y + z) = -6(4)

------------------------

-11x - 11z = -19

Finally, we can solve these two new equations simultaneously to find the values of 'x' and 'z'. Once we have 'x' and 'z', we can substitute these values back into any of the original equations to find the value of 'y'.

These would be 2 of the 4 equations, because 6 times 9 equals 54 and 9 times 6 equals 54, but are written in a different way. Thus meaning they are 2 of the 4 equations.

These 2 would be the final to, because 54 divided by 6 is 9, and 54 divided by 9 is 6. Thus meaning they are the final 2 equations.

I hope this helps!

Therefore, 6396/15 = 426.5

The height of the triangle will be 8 ft.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is the area of ​​a triangle is 36 square feet and the base is 9 feet. .

We can write the area of a triangle as -

A (Δ) = (1/2) x b x h

36 = 4.5 x h

h = 36/4.5

h = 8 ft

Therefore, the height of the triangle will be 8 ft.

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[Question in english -

The area of ​​a triangle is 36 square feet and the base is 9 feet. What is the height of the triangle in inches?]

The item is $365 and is 30% off.

What we need to do first is find 30% of $365. We can do this by multiplying

$365 x 0.3 = $109.5

The discount is $109.5

but what we need to pay is $365 - $109.5 = $255.5

The Sale price is $225. 5

GOOD LUCK :)

2250+1300= 3550 and that is your answer