-3x+12y=24 What is the Y intercept

Answer:

C. 3

Step-by-step explanation:

In arithmetic, the range of a set of data is the difference between the largest and smallest values. However, in descriptive statistics, this concept of range has a more complex meaning. The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.

2 - (-1) = 3

6 - 3 = 3

etc...

Answer:

3

Step-by-step explanation:

There are 15 shells all together

there is 5 friends

15 divided by 5 is 3

Therefore  the answer is three

Answer:

Each friend got 3 sea shells

Step-by-step explanation:

8+7=15 then they divided it up equaly to their 5 friends so 15/5=3 so each friend got 3 sea shells

Answer:

20%

Step-by-step explanation:

Answer:

[tex]\large \boxed{\text{A. $\sqrt{194}$}}[/tex]

Step-by-step explanation:

We can use Pythagoras' Theorem.

[tex]\begin{array}{rcl}a^{2} & = & b^{2} + c^{2}\\& = & 5^{2} + 13^{2}\\& = & 25 + 169\\& = & 194\\a & = & \sqrt{194}\\\end{array}\\\text{The length of the hypotenuse is $\large \boxed{\mathbf{\sqrt{194}}}$}[/tex]

the answer will become 10%

The solutions of the system of equations are (0 , -6) , (-1 , -8)

Step-by-step explanation:

To solve a system of equations, one 1st degree and the other 2nd degree, do that:

∵ The system of equations is:

y = x² + 3x - 6 ⇒ (1)

y = 2x - 6 ⇒ (2)

Equate (1) and (2)

∴ x² + 3x - 6 = 2x - 6

- Add 6 to both sides

∴ x² + 3x = 2x

- Subtract 2x from both sides

∴ x² + x = 0

- Take x as a common factor in the left hand side

∴ x(x + 1) = 0

- Equate each factor by 0 to find the values of x

∵ x = 0

∴ The first value of x is 0

∵ x + 1 = 0

- Subtract 1 from each side

∴ x = -1

∴ The second value of x is -1

Substitute each value of x in equation (2) to find the values of y

∵ y = 2(0) - 6

∴ y = 0 - 6 = -6

The first value of y is -6

∵ y = 2(-1) - 6

∴ y = -2 - 6 = -8

∴ The second value of y is -8

∴ The solutions are (0 , -6) , (-1 , -8)

The solutions of the system of equations are (0 , -6) , (-1 , -8)

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The graph of the absolute value function can be seen in the image below.

Here we have the absolute value function:

h(x) = -|x + 2| + 4

To graph it we need 3 points, one at the vertex x = -2

h(-2) = -|-2 + 2| + 4 = 4

So the point is (-2, 4)

And other two points at the right and left of x = -2, I will use x = 0 and -4.

h(-4) = -|-4 + 2| + 4 = 2

h(0) = -|0 - 2| + 4 = 2

Then we have the points (0, 2) and (-4, 2)

Now to graph the function just connect the point (-2, 4) with (0, 2) and with (-4, 2) using two rays.  The graph can be seen below.

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Answer:

There are 60t liters of water in the bathtub after t minutes.

After t minutes, [tex]\( 60t \)[/tex] liters of water fill the bathtub.

The amount of water in the bathtub after t minutes can be expressed as the product of the rate of filling (60 liters per minute) and the time (t minutes):

[tex]\[ \text{Amount of water} = \text{Rate of filling} \times \text{Time} \][/tex]

[tex]\[ \text{Amount of water} = 60 \text{ liters/minute} \times t \text{ minutes} \][/tex]

[tex]\[ \text{Amount of water} = 60t \text{ liters} \][/tex]

So, after [tex]\( t \)[/tex] minutes, there will be [tex]\( 60t \)[/tex] liters of water in the bathtub.

Answer:

5 sqrt(3)

Step-by-step explanation:

Simplify the following:

2 sqrt(3) + 3 sqrt(3)

2 sqrt(3) + 3 sqrt(3) = 5 sqrt(3):

Answer: 5 sqrt(3)

88.8 acres are used for exhibits

Step-by-step explanation:

Given

Total area of Greenfield = 24 acres

Percentage of lad for exhibits = 37%

Now,

[tex]Acres\ used\ for\ exhibits = 37\%\ of\ 240\\= \frac{37}{100} * 240\\=0.37*240\\=88.8\ acres[/tex]

Hence,

88.8 acres are used for exhibits

Keywords: Percentage, percent

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See explanations

Step-by-step explanation:

1. DF≅EF ⇒ Reflexive property

2. ∠1≅∠2 ⇒Given

3.FG bisects ∠DFE ⇒Definition of a bisector

4. FG ≅ FG ⇒Given

5.ΔDFG ≅ΔEFG-SAS Congruence

The reflexive property of congruence simple means that any geometric figure is equal to itself. Line DF equals line FE because triangle ΔDFG≅EFG

A line segment that divides a angle into two equal parts in called an angle bisector. Line segment FG is bisects angle  ∠DFE

The Side Angle Side Postulate requires that two sides and included angle of one triangle are congruent to two sides and included angle of another triangle. In this case, angle ∠1 , ∠D and side DF equals ∠2, ∠E and side FE

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Keyword : proof, congruence,reflexive

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Answer:The perimeter of parallelogram PQRS = 2\sqrt{10}+8\sqrt{2} ⇒

2nd answer

Step-by-step explanation:* Lets revise some properties of the parallelogram

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its perimeter is the twice the sum of two adjacent sides

* Lets solve the problem

∵ PQRS is a parallelogram

∵ The length of side SR is

∵ The length of side QR is

∵ SR and RQ are two adjacent sides

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS =

∵  =

∵  =

∴ The perimeter of parallelogram PQRS =

Answer:

Option B.

Step-by-step explanation:

It is given that the sides of an equilateral triangle are 8 units long.

Draw an altitude of the triangle.

Altitude of an equilateral triangle is perpendicular bisector.

Let x be the length of the altitude of the triangle.

According to the Pythagoras theorem

[tex]hypotenuse^2=base^2+perpendicular^2[/tex]

Using Pythagoras theorem we get

[tex]8^2=4^2+x^2[/tex]

[tex]64=16+x^2[/tex]

[tex]64-16=x^2[/tex]

[tex]48=x^2[/tex]

Taking square root on both sides.

[tex]\sqrt{48}=x[/tex]

[tex]4\sqrt{3}=x[/tex]

The length of the altitude of the triangle is 4√3 units.

Therefore, the correct option is B.

Answer:

Each boy would get 59 seeds

Step-by-step explanation:

Aiden and his three friends = 4 people

236 divided by 4 = 59

Each boy will get 59 pumpkin seeds.

In this problem, Aiden and his three friends are sharing 236 pumpkin seeds equally. To find out how many pumpkin seeds each boy will get, we can divide the total number of seeds by the number of boys.

Divide the total number of pumpkin seeds, 236, by the number of boys, which is 4.

So, each boy will get 236 ÷ 4 = 59 pumpkin seeds.

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Answer:

empire: 25/100 or 25% ,

mclntosh : 30/100 or 30%,

fuji : 45%

Step-by-step explanation:

the part-to-whole ratio of empire type apples will be [tex]\frac{25}{100}[/tex]

30% of 100 acres = [tex]\frac{30}{100} *100=30 acres[/tex]

= 100-25-30

=45 acres

Answer:

n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer

n+(n+1)+(n+2)+(n+3)=34

4n+6=34

4n=28

n=7 ANSWER: The smallest integer is 7

CHECK:

7+8+9+10=34

34=34

Step-by-step explanation:

You add 1/6 to both sides

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

Add 1/6 to both sides

Answer:

The base is 11 inches long

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

y -----> is the length of the base of the isosceles triangle

x ----> is the length of each of the congruent sides

The perimeter of the triangle is equal to

[tex]P=y+x+x[/tex]

[tex]P=y+2x[/tex]

we have

[tex]P=55\ in[/tex]

so

[tex]55=y+2x[/tex] ----> equation A

[tex]y=\frac{x}{2}[/tex] ----> equation B

solve the system by substitution

substitute equation B in equation A

[tex]55=\frac{x}{2}+2x[/tex]

solve for x

[tex]55=\frac{5}{2}x[/tex]

[tex]x=55(2)/5\\x=22\ in[/tex]

Find the value of y

[tex]y=\frac{x}{2}[/tex] ----> [tex]y=\frac{22}{2}=11\ in[/tex]

therefore

The base is 11 inches long

Answer:

hypotenuse is not a rational number

Step-by-step explanation:

In a Right angled triangle , if a, b are the sides and h be the hypotenuse then relationship between them is given by

[tex]h^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]

Here,

         a= 4 in.        [Given]

          b = 6 in.       [Given]

Thus ,

  [tex]h^{2}[/tex]  = [tex]4^{2}[/tex] + [tex]6^{2}[/tex]

  [tex]h^{2}[/tex]  =  16 + 36

  [tex]h^{2}[/tex]  = 52.

   h = [tex]\sqrt{52}[/tex]  = 7.21110255......

Clearly, h is not a rational number

Step-by-step explanation:

1.

4:15 p.m. to 5.00 p.m. → 45min

5:00 p.m. to 10:00 p.m. → 5h

Answer: 5h 45min

2.

3:45 a.m. to 4.00 a.m. → 15min

4.00 a.m. to 12:00 p.m. → 8h

Answer: 8h 15min

3.

1:15 p.m. to 2:00 p.m. → 45min

2:00 p.m. 8:00 p.m. → 6h

8:00 p.m. to 8:11 p.m. → 11min

Answer: 6h (45 + 11)min = 6h 56min

4.

2:37 a.m. to 3:00 a.m. → 23min

3:00 a.m. to 3:15 a.m. → 15min

Answer: (23 + 15)min = 38min

5.

11:59 a.m. to 12:00 p.m. → 1min

12:00 p.m. to 1:00 p.m. → 1h

1:00 p.m. to 1:01 p.m. → 1min

Answer: 1h (1 + 1)min = 1h 2min

[tex]\Huge{\underline{\underline{\mathttt{Answer \colon}}}}[/tex]

Acceleration of the object

Since,

[tex] \huge{ \boxed{ \boxed{\texttt{f = ma}}}}[/tex]

[tex] \leadsto \: \sf{a = \frac{f}{m} } \\ \\ \leadsto \: \sf{a = \frac{30}{6} } \\ \\ \huge{ \green{ \leadsto \: \mathtt{f = 5 \: ms {}^{ - 2} } }}[/tex]

Answer:

5 meters per second

Step-by-step explanation:

its basic math people

Answer:

x=3

Step-by-step explanation:

16-x=x+10

16-x-x=10

16-2x=10

2x=16-10

2x=6

x=6/2

x=3

Answer:

{a}p + 0.2m = 6

   0.8m = 4

or 5p + m = 30

   m = 5

{b} 5 lb peanuts and 5 lb mixture

Step-by-step explanation:

m1 → desired mixture with composition : 60% peanuts and 40% almonds and weight : 10 lb

⇒weight of peanuts in m1 = 60% × 5 = 6 lb

and weight of almonds in m1 is 4 lb

m2 → mixture with composition : 20% peanuts and 80% almonds and weight : m pounds

⇒weight of peanuts in m2 = 0.2m

and weight of almonds in m2 = 0.8m

p → weight (in pounds) of peanuts added to m2 to make m1

{a}

add p pounds of peanuts to m2 to make m1

equating weights of peanuts and almonds:

p + 0.2m = 6

0.8m = 4

{b}

equation gives m = [tex]\frac{4}{0.8}[/tex] ⇒ m = 5 lb

Using this in the [tex]1^{st}[/tex] equation:

p + 1 = 6 ⇒ p = 5 lb

Answer:

a) p + m = 10 and [tex]\frac{p + 0.2m}{0.8m} = \frac{60}{40}[/tex]

b) The mixing amount is 5 lb peanut and 5 lb mixture.

Step-by-step explanation:

Given that p pounds of peanuts and m pounds of the 80% almond and 20% peanut mixture are used to make 10 pounds of 60% peanuts and 40% of almonds mixture.

Now, we can write that p + m = 10 ........ (1)  

Now, m pounds of 80% almond and 20% peanut mixture contain 0.2m pounds of peanuts and 0.8m pounds of almonds.

Now, from the condition given it can be written that  

[tex]\frac{p + 0.2m}{0.8m} = \frac{60}{40}[/tex] .......... (2)

⇒ [tex]\frac{p + 0.2m}{0.8m} = \frac{3}{2}[/tex]

⇒ 2p + 0.4m = 2.4m

⇒ 2p = 2m

⇒ p = m  

Now from equation (1) we get p = m = 5 pounds.

a) Therefore, equations (1) and (2) are the system of equations that models the situation.

b) The mixing amount is 5 lb peanut and 5 lb mixture. (Answer)

Answer:

-2/3

Step-by-step explanation:

m=(6-4)/(-2-1)=2/-3=-2/3

Answer:

b

Step-by-step explanation:

Both graphs end or start at at x = 2

The lower graph has an open circle at 2 meaning that x cannot equal 2

Thus y = x + 1 for x < 2

The upper graph has a solid circle at x = 2 meaning that x can equal 2

Thus y = x + 2 for x ≥ 2

Answer:

y=-4x+5

Step-by-step explanation:

the line goes down 4 for every 1 that x changes. the line crosses the y axis at 5.

(this might not be accurate, I can't really see if the line is on the exact point or not)

Answer:

[tex]\displaystyle y = -4x + 5[/tex]

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, 5],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving four blocks north over one block west or four blocks south over one block east [west and south are negatives].

I am joyous to assist you anytime.

Answer:

[tex]\displaystyle 6 = x[/tex]

Step-by-step explanation:

Since DF is a SEGMENT BISECTOR, you set 15x and 8x + 42 equal to each other:

8x + 42 = 15x

- 8x - 8x

___________

[tex]\displaystyle \frac{42}{7} = \frac{7x}{7} \\ \\ 6 = x[/tex]

I am joyous to assist you anytime.

Answer:

0.02x + 0.28y = 0.5 is the required answer.

Step-by-step explanation:

Given:

[tex]4x+56y=100[/tex]

To Find :

Expression when it is divided by 200.

Solution:

[tex]4x+56y=100[/tex]

After Dividing both the side by 200 we get

[tex]\frac{4x}{200}+ \frac{56y}{200}= \frac{100}{200}\\\frac{x}{50}+ \frac{14y}{50}= \frac{1}{2}\\\therefore 0.02x+0.28y=0.5[/tex]

Which is the required Expression after Dividing by 200.

∴ 0.02x + 0.28y = 0.5 is the required answer.

Answer:

x = [tex]\frac{14}{45}[/tex]

Step-by-step explanation:

10 - 2 + 6 = 3x (7 + 8)​

3x (7 + 8) = 10 - 2 + 6

21x + 24x = 8 + 6

45x = 14

x = 14 ÷ 45

x = [tex]\frac{14}{45}[/tex]

Answer:

The sides of the triangle are proportional so the length of GE=18 cm

300 grams of carbohydrates are recommended per day.

Step-by-step explanation:

Carbohydrates in each serving = 36g

This counts 12% of daily value.

Let,

x be the total daily value.

According to given statement;

12% of x = 36g

[tex]\frac{12}{100}*x=36\\0.12x=36\\[/tex]

Dividing both sides by 0.12

[tex]\frac{0.12x}{0.12}=\frac{36}{0.12}\\x=300\ g[/tex]

300 grams of carbohydrates are recommended per day.

Keywords: percentage, division

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Final answer:

To find the recommended daily amount of carbohydrates, divide the amount per serving (36g) by the daily value percentage (12%) and multiply by 100. The recommended amount is 300 grams of carbohydrates per day.

Explanation:

If a nutrition label states that there are 36g of carbohydrates in each serving and this amount is 12% of the daily value, we can calculate the recommended daily amount of carbohydrates by setting up a simple equation where 36g represents 12%.

To find the full 100%, we divide 36g by 12% and then multiply by 100%.

The calculation steps are as follows:

Divide the amount of carbohydrates in one serving (36g) by the percentage they represent of the daily value (12%). This gives us the amount of carbohydrates per 1% of the daily value.

Multiply the result from step 1 by 100 to find the amount of carbohydrates representing 100% of the daily value, which is the total daily recommended amount.

Calculation:

36g / 12% = 3g per 1% of daily value

3g per 1% * 100 = 300g

Therefore, the recommended daily amount of carbohydrates is 300 grams