Scott paid 19.99 for a 7.98-kg bag of dog food. A few weeks later, he paid 20.38 for an 8.39-kg bag at a different store. What is the unit price for each bag

Answer:

21

Step-by-step explanation:

69+21=420

Answer:

55440 different arrangements

Step-by-step explanation:

The answer is:

11 x 10 x 9 x 8 x 7

Which is equal to 55440 different arrangements

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Mac can create 55,440 different arrangements by using 5 out of his 11 pictures, calculated using the permutation formula P(11, 5).

The question asks how many different arrangements Mac can make using 5 out of 11 different pictures. To calculate this, we use the concept of permutations which is given by the formula P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.

In this case, Mac has 11 pictures (n = 11) and wants to arrange 5 of them (r = 5). Thus, the number of arrangements (permutations) can be found by the calculation: P(11, 5) = 11! / (11-5)! = 11! / 6!, which equals 11 x 10 x 9 x 8 x 7 = 55,440 different arrangements.

Answer:

it is a 3/6% chance to get an even and it is also depends on your luck

Step-by-step explanation:

Answer:

I think it is 216 square feet.

Step-by-step explanation:

Formula for surface area is: 2B + Ph (where B is the area of the base, h is the height and P is the perimeter of the base)

2 * 60 + 32 * 3

120 + 96

216 ft

Answer: yes it is a perfect square trinamial

Look at the attached picture⤴

Look at the attached picture⤴Hope it will help u....:)

Answer:

9, -2

Step-by-step explanation:

right on edg 2020

Answer:

d - c = -10y^2 -y -10

Step-by-step explanation:

-7y^2 - 3y^2 = - 10y^2

3y- 4y = -1y or -y

-6 - 4 = -10

Answer:

-10y^2 - y - 10

Step-by-step explanation:

First put them in order:

(-7y^2+3y-6)-(3y^2+4y+4)

Then distribute the negative to the second set of parentheses:

-7y^2+3y-6-3y^2-4y-4

Then simplify leaving you with the answer

-10y^2 - y - 10

Answer:B

Step-by-step explanation:

Answer: B on edg 2020

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

g(x) = 3x - 5

h(x) = 4x - 2

(g + h)(8)

g(8) + h(8)

solve for g(8)

g(x) = 3x - 5

g(8) = 3(8) - 5

g(8)= 24-5

g(8)= 19

solve for h(8)

h(x) = 4x - 2

h(8) = 4(8) - 2

h(8)= 32-2

h(8)=30

plug in

g(8) + h(8)

19+30

49

Hope this helps!

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

[tex]V=\pi r^2h[/tex]

Substitute the given values.

[tex]48=\pi r^2r[/tex]   (since r = h)

[tex]48=\pi r^3[/tex]

[tex]48=3.14 \times r^3[/tex]

Divide by 3.14 on both sides.

[tex]$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}[/tex]

[tex]$15.28=r^3[/tex]

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

[tex]$V=\frac{4}{3} \pi r^3[/tex]

[tex]$V=\frac{4}{3} \times 3.14 \times (2.48)^3[/tex]

[tex]V=63.85[/tex]

The volume of the sphere is 63.85 cm³.

Answer:

9 seconds after the object is launched

Step-by-step explanation:

The function models the height of the object as a function of the time after the object is launched. Therefore h(t) will be zero, and you will solve for t like a normal quadratic equation.

0 = -4t² + 16t + 180

First, you can factor out the -4 from all the terms.

0 = -4(t² - 4t - 45)

Next, factor what is inside the parentheses

0 = -4 (t + 5) (t - 9)

Then you set each of the factors individually to zero and solve

t + 5 = 0 and t - 9 =0

From this we get that time is:

t = -5 and t = 9

Now that time cannot be negative, we figure out that the time is 9 seconds, therefore the object will hit the ground after 9 seconds.

Answer:

cant get an exact answer this is the best ur gonna get 3.675e+17

Step-by-step explanation:

Answer:

0,1

2,4

3,8

Are all the solutions that apply to the graph

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

I had this question once sorry i'm late but -1/4) -2/5 = 1/10 , - 5/6 ÷1/8 = -6 and a fraction I keep forgetting so( -1/4) -2/5  > - 5/6 ÷1/8 )

Answer:

210 cents or $2.10

Step-by-step explanation:

30 x 7 = 210

Answer:

44/1/2

Step-by-step explanation:

Explanation of correlation coefficient, its significance in determining relationship strength between variables, and how to interpret its value.

The correlation coefficient provides a measure of how strongly two variables are related in a linear manner. It ranges from -1 to 1, where 1 represents a perfect positive correlation, -1 a perfect negative correlation, and 0 no correlation.

A correlation coefficient close to 1 or -1 indicates a strong relationship, while a coefficient close to 0 indicates a weak or no relationship. This numerical value helps determine how predictable changes in one variable are as the other variable changes.

Interpreting the correlation coefficient assists in understanding the strength and direction of the relationship between variables, aiding in making predictions or drawing conclusions based on the data's patterns.

Answer:

So, the GCF of 12x^5 and 8x^3 is 4x^3.

Step-by-step explanation:

To find the greatest common factor (GCF) of 12x^5 and 8x^3, you can break down each term into its prime factors and then identify the common factors:

12x^5 = 2^2 * 3 * x^5

8x^3 = 2^3 * x^3

Now, identify the common factors is this :

The common factor of 2^2 (4) and 2^3 (8) is 2^2 (4).

The common factor of x^5 and x^3 is x^3.

So, the GCF of 12x^5 and 8x^3 is 4x^3.

The GCF of 12x^5 and 8x^3 is 4x^3.

The GCF (Greatest Common Factor) of 12x^5 and 8x^3 can be found by factoring out the common factors of the two terms. In this case, the common factor between the two terms is 4x^3.

To find the GCF, we need to find the highest power of x that can be divided into both terms: 12x^5 and 8x^3. Since 4x^3 is the highest power of x that can be divided into both terms, it is the GCF.

Therefore, the GCF of 12x^5 and 8x^3 is 4x^3.

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Answer:

If you solve it, it would be 16a+20, but which expressions are you talking about?

Answer:

Step-by-step explanation:

Answer:

[tex]k < -8[/tex]

Step-by-step explanation:

Step 1:  Subtract 5 from both sides

[tex]k + 5 < -3[/tex]

[tex]k + 5 - 5 < -3 - 5[/tex]

[tex]k < -8[/tex]

Answer:  [tex]k < -8[/tex]

Answer:

K < -8

Step-by-step explanation:

K + 5 < -3

Subtract 5 from each side

K + 5-5 < -3-5

K < -8

Answer:

2412 mm³

Step-by-step explanation:

It's two rectangular prisms.

Let's start with the formula for volume --> V = Bh

Top prism

V = Bh

V = (13*12)(12)

V = (156)(12)

V = 1872 mm³

Bottom prism

V = Bh

V = (15*12)(3)

V = (180)(3)

V = 540 mm³

Now add them both together and you get 540 + 1872 = 2412 mm³

The volume of the composite figure shown below is,

⇒ 2412 mm³

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Two rectangular prisms are shown.

Since, The formula for volume of Cuboid is,

⇒ V = Bh

Hence, For Top prism;

V = Bh

V = (13×12)(12)

V = (156)(12)

V = 1872 mm³

And. For Bottom prism;

V = Bh

V = (15×12)(3)

V = (180)(3)

V = 540 mm³

Thus,  The volume of the composite figure shown below is,

⇒ 540 + 1872 = 2412 mm³

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Answer:

2.83

Step-by-step explanation:

this is the approach i would take to solve this;

take the amount of money the almonds are and divide how many grams that would consist of

23.41 / 825 =

0.02837576 this is the price for 1 gram of almonds.

take this number and multiply by 100 to find how much 100g would cost.

0.0283 * 100 = 2.83

the price of 100 grams is 2.83

i hope this helped you!

:)

The price per 100 grams of almonds is 2.837 when dividing the total cost of 23.41 by the weight of 825 grams and then multiplying the result by 100.

To find the price per 100 grams of almonds, we will first need to calculate the cost per gram and then multiply it by 100 to get the cost for 100 grams. Here is how you can do it:

Let's calculate it step-by-step:

Therefore, the price per 100 grams of almonds is 2.837.

Answer:

parallelogram

Step-by-step explanation:

Answer:

18.1 cm

Step-by-step explanation:

Consider a segment parallel to CD and passing through B.

This segment will form a right-angle triangle with A

It's length would be equal to the length of CD (the missing length)

Height of that triangle:

11 - 4 = 7

CD² = 16² - 7²

CD² = 207

CD = sqrt(207)

AC² = AD² + CD²

AC² = 11² + 207

AC² = 328

AC = 2sqrt(82)

Which is roughly 18.1 cm

Given:

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]

To find:

The simplified expression.

Solution:

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]

Apply the fraction rule: [tex]\frac{\frac{y}{z}}{x}=\frac{y}{z \cdot x}[/tex]

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}=\frac{a^{2}-b^{2}}{a b\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]  ------------ (1)

Let us simplify [tex]\frac{1}{b}-\frac{1}{a}[/tex].

LCM of a and b = ab

Adjacent fraction based on the LCM

[tex]\frac{1}{b}-\frac{1}{a}=\frac{a}{a b}-\frac{b}{a b}[/tex]

         [tex]=\frac{a-b}{a b}[/tex]

Substitute this in equation (1).

         [tex]$=\frac{a^{2}-b^{2}}{\frac{a-b}{a b} a b}[/tex]

Common factor ab get canceled.

         [tex]$=\frac{a^{2}-b^{2}}{a-b}[/tex]

Apply the algebraic formula: [tex]x^{2}-y^{2}=(x+y)(x-y)[/tex]

         [tex]$=\frac{(a+b)(a-b)}{a-b}[/tex]

Cancel the common factor a - b, we get

         [tex]=a+b[/tex]

The simplified expression is a + b.

5x + 3 - 4x = 0

x + 3 = 0

x = -3

Hope this helps :)

Answer:

0.039

Step-by-step explanation:

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

The z score is used to show by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that mean of 150 and a standard deviation of 8.5. Hence:

For x > 165

z = (165 - 150)/8.5 = 1.76

P(z > 1.76) = 1 - P(z < 1.76) = 1 - 0.9606 = 0.0394

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

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Answer:

If we use the variable l for length, then the width is l + 10.

A key phrase is “same perimeter.”

A key word is “equal” when referring to the length of the two shapes.

Step-by-step explanation:

i did the problem on online school

An equation to represent the given situation is 4x+20=5x+50.

Given that, a regular pentagon and a rectangle have the same perimeter.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the length of a rectangle be x.

Then, the width of the rectangle is 10 more than its length be x+10.

The length of the rectangle and the side of the pentagon are equal.

So, the side of the pentagon = x+10

Now, the equation is 2(x+x+10)=5(x+10)

⇒ 2(2x+10)=5(x+10)

⇒ 4x+20=5x+50

Therefore, an equation to represent the given situation is 4x+20=5x+50.

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