Use the Distributive Property and mental math to find the product. 5(8.9) 40.5 44.5 40 45

Answer:

[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]

Step-by-step explanation:

Cookies come in packages of 12.

Drinks come in packages of 3, 4, 5, 6, 8, 10, and 12.

If you buy one package of cookies (12 cookies), then you have to buy

If you buy 2 packages of cookies (24 cookies), then you have to buy 3 packeges of drinks with 8 drinks in each (24 drinks).

If you buy 5 packages of cookies (60 cookies), then you have to buy

The table is

[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]

Answer:

n=-2n-12

Step-by-step explanation:

Distribute the -3 to 2n-4, which equals -6n+12. Putting your whole equation back together, you will have -8-n=-6n+12. If you add 8n over to the other side, your equation becomes -n=2n+12. Now all you have to do here is divide the negative from -1 thats in front of n from 2n+12, making your answer n=-2n-12.

To solve the linear equation -8 - n = -3(2n - 4), we distribute, combine like terms, and isolate the variable to find that n = 4.

The equation presented, -8 - n = -3(2n - 4), is a linear equation where the goal is to solve for the variable n. We start by simplifying and rearranging the equation to isolate n on one side. To solve the equation:

Distribute the -3 through the parentheses on the right side: -8 - n = -6n + 12.

Move all terms involving n to one side by adding 6n to both sides: -8 + 6n - n = 12.

Combine like terms: -8 + 5n = 12.

Next, add 8 to both sides to isolate the term with n: 5n = 20.

Finally, divide both sides by 5 to solve for n: n = 4.

The area of the circle given the circumference is B. 98 inches².

The circumference of a circle is calculated by the formula:

= π x diameter

You can therefore find the diameter given the circumference:

35 = 22/7 x diameter

Diameter = 35 / 22/7

= 11.14 inches

The radius is half of the diameter:

= 11.14 / 2

= 5.57 inches

Area of a square is:

= π x radius ²

= 22/7 x 5.57 x 5.57

= 97.51 inches²

= 98 inches²

In conclusion, the area of the circle is closest to 98 square inches.

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Answer:

Part 1) Is a cubic expression

Part 2) The quadratic expression is 12x² + 8x − 1

Step-by-step explanation:

Part 1) Classify the expression: 5x³ + 2x − 3

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

so

a) By the number of terms is a trinomial, because has three terms

b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable

The highest exponent is 3 so this is a 3rd degree trinomial  

therefore

Is a cubic expression

Part 2) Choose the expression that represents a quadratic expression

we know that

If the expression is a quadratic equation , then the highest exponent of the variable is 2

therefore

The quadratic expression is 12x² + 8x − 1

Answer:

1. Cubic expression

2. [tex]12x^2+8x-1[/tex]

Step-by-step explanation:

1. We have the expression [tex]5x^3+2x-3[/tex] and we have to classify it.

A quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].

We can see that the first term is squared. And in the expression that we have to classify the first term is raised to the cubic, then it isn't a quadratic expression.

A linear expression has the form [tex]ax+b[/tex].

We can see that it only has two terms and the first term has exponent 1. The expression [tex]5x^3+2x-3[/tex] has 3 terms and the first term has exponent 2 then it isn't a linear expression.

A cubic expression has the form[tex]ax^3+bx^2+cx+d[/tex].

We can see that the first term is raised to the cubic. And [tex]5x^3+2x-3[/tex] is raised to the cubic.

We can rewrite it: [tex]5x^3+2x-3=5x^3+0x^2+2x-3[/tex]

[tex]a=5\\b=0\\c=2\\d=-3[/tex]

The expression [tex]5x^3+2x-3[/tex] agrees with the definition of a cubic expression. Then it's a cubic expression.

An Exponential expression has the form [tex]y=ab^x, a>0[/tex]

2. We said that a quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].

Then the expression that agrees with the definition is [tex]12x^2+8x-1,a\neq 0[/tex]

With,

[tex]a=12\\b=8\\c=1[/tex]

Answer:

240

Step-by-step explanation:

Answer:

28 meters²

Step-by-step explanation:

We can break the shape into two rectangles. One of the rectangles has length 5 and height 2. The other rectangle has a height of 6 and a width of three. You can refer to the attached image.

To find the total area, we simply have to sum the areas of the two rectangles.

[tex]A = 5*2 + 6*3\\A = 10 + 18\\A = 28[/tex]

The total are of the shape is 28 meters²

Answer:

28 m²

Step-by-step explanation:

The figure is composed of 2 rectangles

The right rectangle has sides 3m and 6 m

The left rectangle has sides 5 m and (6 - 4) = 2 m

The area (A) of the figure is the sum of the 2 rectangles which form it

A = (3 × 6 ) + (5 × 2 )

   = 18 + 10

   = 28 m²

Answer:

an rectangle

Step-by-step explanation:

because it is 7 inches and it is 3/4 inches

Answer:

I assume you want an equality: -5/9 >= 5x,  -1/9>=x

Answer:

Step-by-step explanation:

Do 28x15 then 28x2 and add those up

Answer:

$896

Step-by-step explanation:

We are given that

Charge of 1 yard for each custom-made banner=$28

Length of 1 piece=15 yards

Length of another piece=2 yards

We have to find that how much money payed by Ms.Gill for all three banners.

According to question

Cost of 15 yards long banner=[tex]28\times 15=[/tex]$420

Cost of 2 piece of 15 yards long banner=[tex]420\times 2[/tex]=$840

Cost of 2 yards long banner=[tex]2\times 28[/tex]=$56

Total cost of 3 piece of banners=840+56=$896

Hence, Ms gill pay for all three banners=$896

Answer:

1/66

Step-by-step explanation:

0.0151515 can be converted to the fraction 5/333.

Repeating decimals can be converted to fractions by setting the repeating part as x and subtracting the non-repeating part.

For example, to convert 0.0151515 to a fraction, let x = 0.015 and y = 0.1515, then subtract them: x = 0.015, 1000x = 15, y = 0.1515, 10000y = 1515. Subtract both: 999y = 1500 - 15 = 1485.

Therefore, the fraction is 0.0151515 = 15/999 = 5/333.

300

Step-by-step explanation:

It’s in the hundreds place

Hope it helps.

If you have any query, feel free to ask.

The data of the frequency table is mentioned below.

A Venn Diagram is the pictorial representation of data in the form of circles which represents relationship between finite number of group of things.

There are total 40 members in a food club.

The people who

Like vegetable and also like fruit is : 23

Like vegetables , do not like fruit is : 4

Do not like vegetables and like fruit is 8

Do not like vegetables and do not like fruit is 5

The missing Venn Diagram is attached with the answer.

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Answer:

In 180 days the three of them will do their laundry again on the same day.

Step-by-step explanation:

we need to find the least common factor or 9, 10 and 12:

LCM(9, 10, 12) = 180

Answer:

It's the first choice.

Step-by-step explanation:

Using system of equations.

Answer:

malik

Step-by-step explanation:

the fastest time would be Malik at 11.84

followed by Marcell, Bryson then Wyatt

Malik had the fastest time in the 100 meter sprint with a time of 11.84 seconds.

To determine who had the fastest time in the 100 meter sprint, we simply need to compare the times listed for each athlete. In sprinting, the fastest time is the lowest numerical value, as it indicates the athlete completed the distance in the shortest amount of time.

Here are the times presented in the question:

Bryson - 12.14 s

Malik - 11.84 s

Marcell - 11.94 s

Wyatt - 12.44 s

Upon comparing the times, we can see that Malik had the fastest time with 11.84 seconds. Therefore, Malik is the athlete who completed the 100 meter sprint the quickest in this group.

Answer:

a= 1

b= -4

c = 5

(-4)^2 - 4(1)(5)

16-20= -4 no solution

the answer would be 32

'

Answer:

32

Step-by-step explanation:

3/4 of what number is 6 times 4?

[tex]\frac{3}{4}x = 6(4)[/tex]

[tex]\frac{3x}{4} = 24[/tex]

[tex]3x = 24.4[/tex]

[tex]3x = 96[/tex]

[tex]x = \frac{96}{3}[/tex]

[tex]x = 32[/tex]

Answer:

[tex]6.73 \times {10}^{ - 8} [/tex]

Step-by-step explanation:

7.4 × 10 ^-8 - 6.7 × 10^-9

= 7.4 × 10^-8 - 0.67 × 10^-8

= (7.4 - 0.67) × 10^-8

= 6.73 × 10^-8

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Answer:

The correct graph is b)

Step-by-step explanation:

To solve this problem you have to think about the graph of |x|, and traslate 2 units up, in "y" axis beacuse +2 is outside the |x|. If +2 were inside |x| (|x+2|), you have tyo traslate 2 units to the left.

The graph that represents the equation y =|x|+2 is option B.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is y=|x|+2

y equal to mod x plus two.

y=|x|+2

Let us find the graph by finding few x and  y values of the equation.

x       0         1          2        3

y        2        3         4         5

The given points are exactly pointed in the second graph.

Hence, the graph that represents the equation y =|x|+2 is option B.

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Answer:

41 - i

Step-by-step explanation:

note that i² = - 1

Given

(3 + 7i)(2 - 5i) ← expand the factors using FOIL

= 6 - 15i + 14i - 35i² ← collect like terms

= 6 - i + 35

= 41 - i ← in standard form

Answer:

5 square root 9

Step-by-step explanation:

A rational number is a number that can be put in fraction form.

You can easily take the square root of 9 to get 3, which you can multiply by 5 to get 15.

Since you can make 15 into 15/1, which is a fraction, it is rational.

Answer:

Step-by-step explanation:

So 10.55$ for an hour at the ice-cream store, and he works 8 hours.

So 8 * 10.55$ because he earns 10.55$ eight times, since he works 8 hours;

then, you would get $84.40 for a week at the ice-cream store.

Now he earns 13.85$ per hour at the movie theater, for a total of 7 hours.

Again, 13.85$ * 7 since he earns 13.85$ 7 times (7 hours); he gets $96.95 for a week at the movie theater.

1. so we want to know how much does mike earn a week, which basically means how much money did he earn in total during the week working at two jobs?

so you just add what you calculated, you get $181.35 in total.

2. So we want to know how much he has left after 22 percent of the total amount of money that he earned is taken away, due to taxes.

So we want to know how much is 22 percent of the total, so $181.35 * 22% = $39.89

So now we know that $39.89 is 22 percent of the total amount ($181.35), and we know that it is taken away from us, so we subtract $39.89 from $181.35, and you would get $141.46.

So, $141.46 is the amount of money left for Mike after paying his taxes.

3. So we want to know which jobs pays him more before paying the taxes. According to the first question, he earns $84.40 a week at the ice cream store, and $96.95 a week at the movie theater. So, obviously the movie theater pays him more.

It has two questions in one, and the second question asks how much more does the higher paying job pays than the lower paying one. So they're asking what is the difference between the two prices?

So we need to subtract $96.95 (the higher paying one) - $84.40 (the lower paying one), and you would get $12.55.

So, the movie theater pays Mike $12.55 more dollars than the ice cream store.

4.

Hey!

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

Solution:

5x² + (-7x) + 5 + 4x² + 9x + (-10)

(5x² + 4x²) + (-7x + 9x) + (5 + (-10))

9x² + 2x + (-5)

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

Answer:

9x² + 2x + (-5)

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

Hope This Helped! Good Luck!

2x -1 + x + x + 1= 180

2x+x+x-1+1=180 ( combine like terms)

2x+2x-1+1=180

-1+1=0

2x+2x+0=180

4x+0=180

4x=180

divide both sides by 4 to get x by itself

4x/4=180/4

x=180/4

Answer: x=45

The angles are 18° and 72° respectively.

Since, we are told that they are complementary angles, that means that their sum will be equal to 90°

Therefore E + F = 90°

Based on the question, E = F + 54°. Therefore, E + F = 90°.

F + 54° + F = 90°

Collect like terms

2F = 90 - 54°

2F = 36°

F = 36°/2 = 18°

The value of F is 18°

Therefore, E = F + 54° = 18° + 54° ,= 72°

The angles are 18° and 72°.

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The measure of angle E is 72 degrees and the measure of angle F is 18 degrees.

Let's represent the measure of angle E as x and the measure of angle F as y. Since the angles are complementary, we know that x + y = 90. We also know that x = y + 54. By substituting the value of x into the first equation, we get (y + 54) + y = 90, which simplifies to 2y + 54 = 90. Solving for y, we find that y = 18. Substituting this value back into the equation for x, we get x = 18 + 54 = 72. Therefore, the measure of angle E is 72 degrees and the measure of angle F is 18 degrees.

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Answer:

$ 159.95

Step-by-step explanation:

139.95 x 19 = 2,659.05 In total the 19 clarinets = $ 2,659.05

$ 4,578.45 - $ 2,659.05 = $ 1919.40 In toal the 12 trumpets are = $ 1,919.40

$ 1,919.40 ÷ 12 = $ 159.95 The trumpets cost $ 159.95 each.

Hope this helps you out : )

If the music store sold 12 trumoets and 19 clarinets last month and clariners sell for $139.95 and the store made $4,578.45. The price of a trumpet is $159.95.

Let's denote the price of a trumpet as "t" dollars.

The revenue from trumpet sales would be 12 times the price of a trumpet (12t) and the revenue from clarinet sales would be 19 times the price of a clarinet ($139.95):

Revenue from trumpets + Revenue from clarinets = Total revenue

12t + 19 * $139.95 = $4578.45

Now solve for the price of a trumpet (t):

12t + 19 * $139.95 = $4578.45

12t + $2659.05 = $4578.45

12t = $4578.45 - $2659.05

12t = $1919.4

t = $1919.4 / 12

t ≈ $159.95

Therefore the price of a trumpet is $159.95.

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Answer:

let me fill your answer with this picture

Step-by-step explanation:

48.75 i belive

[tex]\huge\boxed{-3}[/tex]

All of the other expressions are equal to a positive [tex]3[/tex].

Absolute value finds a number's distance from zero, which basically removes its negative sign if it has one, making the number positive.

[tex]|3|=3[/tex]

[tex]\boxed{-3=-3}[/tex]

[tex]|-3|=3[/tex]

[tex]3=3[/tex]

Answer:

-3.

Step-by-step explanation:

That would be -3 because it is negative.

|3| 3 and |-3|  are all positive.

|-3| means the absolute value of -3, which is positive.

Answer:

30

Step-by-step explanation:

First find 20% of 25

25 x .20 = 5

Then add the product to the original number

25 + 5

Your answer is 30.