Solving equations and distributive property

Answer:

a.

Step-by-step explanation:

I and IV only, are true proportions

Answer:

954.56 in²

Step-by-step explanation:

A = 2×π·r² + 2·π·r·h

= 2×3.14×64 + 2×3.14×8·11

= 401.92 + 552.64

= 954.56 in²

Answer: 27.44 % decrease in gas prices

Step-by-step explanation: First subtract 2.15 by 1.56 to get 0.59

then divide it by the starting value which is 2.15

0.59 divided by 2.15 is  approximately 0.2744

then multiply times 100 to get 27.44 %

hope this helps mark me brainliest if it helped

Answer:

The answer is 12k^5+24k^4+30k^3.

Step-by-step explanation:

You want to multiply the height by width to find area. Multiply 6k^3 times 2k^2+4k+5. 6k^3(2k^2+4k+5)= 12k^5+24k^4+30k^3.

Final answer:

The area of a rectangle with a height of 6k³ and a width of 2k² + 4k + 5 is calculated by multiplying the height by the width, resulting in 12k⁵ + 24k⁴ + 30k³.

Explanation:

To calculate the area of a rectangle, you multiply the height by the width. The given height of the rectangle is 6k³ and the width is 2k² + 4k + 5. Applying the formula for the area of a rectangle, we have:

A = height × width

A = 6k³ × (2k² + 4k + 5)

To find the area, distribute the height into each term of the width:

A = (6k³ × 2k²) + (6k³ × 4k) + (6k³ × 5)

A = 12k⁵ + 24k⁴ + 30k³

The area of the rectangle is 12k⁵ + 24k⁴ + 30k³.

Answer:

(4, -1)

Step-by-step explanation:

3 x minus 4 y = 16

2 x + 3 y = 5

3x - 4y = 16

2x + 3y = 5

x = 2.5 - 1.5y

3(2.5 - 1.5y) - 4y = 16

7.5 - 4.5y - 4y = 16

-8.5 = 8.5y

y = -1

x = 2.5 - 1.5(-1)

x = 2.5 + 1.5

x = 4

(4, -1)

The solution to the system of equations 3x - 4y = 16 and 2x + 3y = 5

is (4, - 1).

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given, A system of linear equations 3x - 4y = 16 and 2x + 3y = 5.

Multiplying equation (i) by 2 and equation (ii) by 3 we have,

6x - 8y = 32 and 6x + 9y = 15.

Subtracting equation (iii) from (iv) we have,

9y + 8y = 15 - 32.

17y = - 17.

y = -1 and, 6x - 8(-1) = 32 ⇒ 6x + 8 = 32 ⇒ 6x = 24 ⇒ x = 4.

So, The solution to the system of equations is (4, - 1).

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Answer:

a) y= 8x+90 b) 154 pounds

Step-by-step explanation:

a) 90 will be the initial value (b) and 8 will be the slope (m)

this gives the linear function :

y = 8x + 90

b) to find his weight after 8 weeks plug in x=8

y= 64+90

y=154

154 pounds

Answer:The answer is; It builds tension in the story:and it introduces the setting.

Step-by-step explanation:

The right answer is of option D.

Look at the attached picture⤴

Hope it will help u...

Answer:I think freckles are not determined by DNA

Step-by-step explanation:

I have freckles and none of my parents do or ever have had freckles.

Answer:

There are two alleles for freckles

Step-by-step explanation:

100 on edg

Answer:

The three angles of the right-angled triangle are

a = 35°

b = 90°

c = 55°

Step-by-step explanation:

We are given the ratio of angles of a right-angled triangle

a:b:c = 7:18:11

Recall that the sum of interior angles in a right-angled triangle is always 180°

7x + 18x + 11x = 180

36x = 180

x = 180/36

x = 5

a:b:c = 7x:18x:11x

a:b:c = 7(5):18(5):11(5)

a:b:c = 35:90:55

a = 35°

b = 90°

c = 55°

Alternatively:

We are given that the smallest angle is 35°

a = 7x = 35

x = 35/7

x = 5

b = 18x

b = 18(5)

b = 90°

c = 11x

c = 11(5)

c = 55°

Answer:

Step-by-step explanation:

solution

sum of angles on a triangle=180

total ratio=7+18+11=36

for angle a: (7/36)x180=35°

for angle c: (11/36)x180=55°

for angle b: (18/36)x180=90°

therefore: the 3 angles are 35°, 90°, 55°.

Answer:

  The mean and mad of this is 75.67(rounded to nearest hundredth) and 17.10 because the deviations are: 42.6, 2.33, 23.33, 11.33, 14.33, 8.67.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

8 - (-5) = 13

Since x is the same in both points we only have to count the y

Answer:

The answer to your question is C. 3.2

Step-by-step explanation:

 | 3.2 |

lines |  |  mean absolute value, and absolute value means the distance of a number to the origin (0,0) it does not matter the sign.

Then to answer your question just do not write the |  |  and consider it as a positive sign.

If your question had a negative number  ex. | -3.2 | the answer would also be 3.2.

Step-by-step explanation:

We don't really have to put this in slope intercept form; it would clearly end up as

y = -4x + something

so we know the slope is -4.

Answer:  C)   -4

Answer:

y= 90

Step-by-step explanation:

64−(3y+8y+y)÷40=37

Combine terms in the parentheses

64−(12y)÷40=37

Subtract 64 from each side

64-64−(12y)÷40=37-64

-(12y)÷40=-27

Multiply each side by 40

-(12y)÷40*40=-27*40

-12y =-1080

Divide each side by -12

-12y/-12 = -1080/-12

y =90

Answer:

y= 90

Step-by-step explanation:

64−( 3y+8y+y 40 )=37 64+ −3 10 y=37 −3 10 y+64=37

Step 2: Subtract 64 from both sides.

−3 10 y+64−64=37−64 −3 10 y=−27

Step 3: Multiply both sides by 10/(-3).

( 10 −3 )*( −3 10 y)=( 10 −3 )*(−27) y=90

Final answer:

For large populations, taking every possible sample of a certain size becomes unfeasible due to the rapidly increasing number of combinations. Hence, random sampling methods are used to capture the population characteristics in a practical way, with larger samples providing more reliable statistics.

Explanation:

When a population size is large, it becomes impractical to take every sample of a certain size due to the combinatorial explosion in the number of potential samples. For instance, with a population of size 4, there are 6 possible samples of size 2, which is manageable. However, as the population size increases, the number of possible samples grows astronomically, making it unfeasible to examine them all. This is why sampling is a vital technique.

Random sampling methods like simple random sampling, stratified sampling, cluster sampling, and systematic sampling are employed to ensure each individual has an equal chance of being selected, which helps in capturing the characteristics of the entire population in the sample. Larger sample sizes are generally preferred as they reduce sampling variability and provide more reliable statistics.

Answer:

Step-by-step explanation:

so you wanna first add the hours

12

then add the number of trees painted in that number of hours

26

do 198 divided by 26

7.62( rounded to the nearest hundredth)

then take that product and multiply it by 12

91( rounded to the nearest one)

tha'ts your answer: 91 days

Given:

The given geometric series is [tex]2 + 3 + 4.5+ 6.75 + ...[/tex]

We need to determine the value of r and a₁

Value of a₁:

The term a₁ denotes the first term of the geometric series.

Hence, from the given series, the first term of the series is 2.

Thus, a₁ = 2.

Therefore, the value of a₁ is 2.

Value of r:

The term r denotes the common ratio between the terms in the geometric series.

The value of r is given by

[tex]r=\frac{3}{2}=1.5[/tex]

[tex]r=\frac{4.5}{3}=1.5[/tex]

[tex]r=\frac{6.75}{4.5}=1.5[/tex]

Thus, the value of r is 1.5

Answers:

1) 1.5 , 2

2) 0.5 , 8

explanation:

just did this :)

Answer:

A. Line AB is parallel to, is equal to Line DC

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides have the same length. It is similar to a square in the sense that it has all its four sides having equal length. It is basically a square which is tilted at an angle. It is also called an equilateral quadrilateral.

Line AB is equivalent to Line DC & both lines are parallel one to another; the same is the relationship between Line BC & Line AD (You can check the attached image for more clarity)

Hence, option A is the answer - Lines AB & DC are parallel & equal to one another

Answer:

is parallel to, is equal to

Step-by-step explanation:

A rhombus has two sets of parallel sides. All four sides are equal in length.

Answer:

-2 1/3

Step-by-step explanation:

First, subtract 7x from both sides to isolate the variable:

7x+7=4x

-7x    -7x

=7=-3x

divide both sides by -3 to find the value of x

Answer:

Step-by-step explanation:

hello :

(8c²-2c) + (2c²+3c)= (8c²+3c²)+(3c-2c) =11c²+c .....standard form

Answer:

Length: x + 5

Step-by-step explanation:

x² + 8x + 15 = length × width

x² + 8x + 15

x² + 5x + 3x + 15

x(x + 5) + 3(x + 5)

(x + 5)(x + 3)

Width: (x + 3)

Length: (x + 5)

Answer:

17.74

Step-by-step explanation:

We know that anything divided by fifty is just two times itself as a decimal.  Thus, [tex]\frac{37}{50}=0.74[/tex].  We can add this to 17 to find that [tex]17+0.74=17.74[/tex].

Answer:

between x=-4 and x=-1 the graph is a straight line so it it linear and the graph is going up and to the right so it is increasing so between x=-4 and x=-1 the graph is linear and increasing

Step-by-step explanation:

Answer:

linear and increasing

Answer:

19.32

Step-by-step explanation:

The amount Chrissy spent on food for the party is determined by subtracting the cost of the fruit bars, $3.22, from her total amount spent, $22.54. This leads to a result of $19.32.

The subject of this question is Mathematics, specifically subtraction. To figure out how much Chrissy spent on food for the party, you have to deduct the cost of the three fruit bars from the total amount she spent that day.

Given:
Total amount spent by Chrissy = $22.54
Cost of three fruit bars = $3.22

By subtracting the amount she spent on the fruit bars from the total amount:
Amount spent on the party = Total amount spent - Cost of the fruit bars
Thus, Amount spent for the party = $22.54 - $3.22 = $19.32

Therefore, Chrissy spent $19.32 on food for the party.

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Answer:

h(g(n))=4n-9

Step-by-step explanation:

h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).

h(g(n))=4(n-1)-5

h(g(n))=4n-4-5

h(g(n))=4n-9

Hope you understand it

Step-by-step explanation:

Let the required number be x.

[tex] \therefore \: 3x + 6 = 21 \\ [/tex]

Answer:

gold and silver

Step-by-step explanation: