What is the greatest common factor of 16 and 24? ​

Answer:

The rate of change is 1/3 and the initial value is 5.

Step-by-step explanation:

See attachment for graph

First, we select any two corresponding x and y values

[tex](x_1,y_1) = (0,5)[/tex]

[tex](x_2,y_2) = (9,8)[/tex]

This implies the slope and slope (m) is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8-5}{9-0}[/tex]

[tex]m = \frac{3}{9}[/tex]

Simplify

[tex]m = \frac{1}{3}[/tex]

(b) Calculating the initial value.

This is the point [tex]where\ x = 0[/tex]

From the graph, we have the following point:

[tex](x_1,y_1) = (0,5)[/tex]

Here, we have that:

[tex]x = 0[/tex] and [tex]y = 5[/tex]

This means the the initial value is 5

Answer: c

Step-by-step explanation:

Answer: Using the slope-intercept form, the y-intercept is 0 .

Step-by-step explanation:

'm so sorry :( i dont know if this right tho

Answer:

y = 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y =  mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (3, 2) ← 2 points on the line

m = [tex]\frac{2-4}{3+3}[/tex] = [tex]\frac{-2}{6}[/tex] = - [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{3} }[/tex] = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (- 1, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = 3x + 7 ← equation of perpendicular line

Answer:

sss similarities

Step-by-step explanation:

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Answer:

2 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

You first collect isolate all the variables

-3x+4/5=-2/3x+12

Subtract 4/5 from both side and add2/3x from both sides

-7/3x=56/5

You then multiply both sides by the reciprocal of the coefficient of the variable, in this case -3/7

-7/3x*(-3/7)=(56/5)*(-3/7)

x=-168/35

x=-24/5

Answer:

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Answer:

X=4.5 I hope that this is correct

Step-by-step explanation:

X-3x -5=4

2x-5=4

+5 +5

2x= 9

Devide by 2 on both sides

x=4.5

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 3x - 5 = 4[/tex]

[tex] - 3x = 4 + 5[/tex]

[tex] - 3x = 9[/tex]

[tex] \frac{ - 3x}{ - 3} = \frac{9}{ - 3} [/tex]

[tex]x = - 3[/tex]

Answer:

x = m - z

Step-by-step explanation:

z = m - x

Add x to both sides.

x + z = m

Subtract z from both sides.

x = m - z

Answer:

The area is 28.27cm²

Step-by-step explanation:

Answer:

9π

Step-by-step explanation:

Area of a circle = πr² (where r = radius of circle)

So using the formula ,

Area of the circle = π(3)² = 9π

Answer:

The numbers are 6 and 7. The larger number is 7.

Step-by-step explanation:

7+6=13

7-6=1

Answer:

numbers are 7 and 6

Step-by-step explanation:

[tex]\left \{ {{x+y=13} \atop {x-y=1}} \right.[/tex]

x=7

y=6

Answer:

(3m2n4)^3

Step-by-step explanation:

This deals with raising to a power.

(3m2 • (n4))3

m2 raised to the 3 rd power = m( 2 * 3 ) = m6

n4 raised to the 3 rd power = n( 4 * 3 ) = n12

Answer:

27/8 or 3 3/8

Step-by-step explanation:

Sorry its too hard to explain :((

Answer:

6 1/8 - 2 3/4= 3 3/8

Step-by-step explanation:

(6 – 2) + (1/8-3/4)

First set up the equation (6 – 2) + (1/8-3/4). Then, find the common denominator of 1/8 and 3/4 which would be 8. Next, find how many times does 4 have to be multiplied to get 8 or the least common multiple which is two. Then, multiply it, after that subtract 6-2=4 then 1/8 - 6/8, you can't subtract 1-6 but you have the 4. 1-6= -5 .Next, the equation now should be 4+-5/8 then you do the equation 4+-5/8=3.375 or 3 3/8.

Sorry if it is too long it's the question.

Hope this helps!

Answer:

x=11

Step-by-step explanation:

Answer:

x would be 11

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x−3)+2=−22

Step 1: Simplify both sides of the equation.

−3(x−3)+2=−22

(−3)(x)+(−3)(−3)+2=−22(Distribute)

−3x+9+2=−22

(−3x)+(9+2)=−22(Combine Like Terms)

−3x+11=−22

−3x+11=−22

Step 2: Subtract 11 from both sides.

−3x+11−11=−22−11

−3x=−33

Step 3: Divide both sides by -3.

−3x/-3=-33/-3

x=11

Answer:

30

Step-by-step explanation:

Answer:

30 because mathematicians say it is 30

Answer:

448

Step-by-step explanation:

Answer:

each basket has 125 blueberries

there are 5 blueberries leftover

Step-by-step explanation:

1,005/8 = 125 R5

Answer:

Step-by-step explanation:

Now,

if you add the tip after the sales tax,

you will have:

46.55*(6/100)=2.79

the meal cost now 46.55+2.79=49.34

we add tip

49.34*(18/100)=8.88

total cost 49.34+8.88=58.22

Answer:

Nelson and colleagues would say that Lisa's _____ is not able to handle the emotional intensity of her ... Giving students large rewards for creative ideas. Emily tells her friend Sarah, "Absolutely nobody in my family understands me. They are totally clueless!" Emily's feelings are an example of what David Elkind calls the .

Step-by-step explanation:

Answer:

12.0%

Explorers

Continent Area in Square Miles (Square Km) Percent of Total Land Area on Earth

Africa, 11,608,000 Sq. Miles (30,065,000 Sq. Km) 20.3%

North America, 9,365,000 Sq. Miles (24,256,000 Sq. Km) 16.3%

South America, 6,880,000 Sq. Miles (17,819,000 Sq. Km) 12.0%

Antarctica, 5,100,000 Sq. Miles (13,209,000 Sq. Km) 8.9%

Step-by-step explanation:

this is what I got, hope it helps

Answer:

area of land dropping steeply towards deep ocean basins :)

Step-by-step explanation:

"Area of land dropping steeply towards deep ocean basins" best describes a continental slope. Option A is correct.

The continental slope is defined as "the overall reduction in steepness out from the shelf margin to the top limit of the continental rise."

The geological boundary of the continent is where it ends and the ocean's deepest floor begins. The ocean bottom dips downhill when the continental shelf terminates, increasing the depth of the water.

The continental slope is the location where the continent ends and the ocean bottom begins.

Thus, the area of land dropping steeply towards deep ocean basins" best describes a continental slope. Option A is correct.

Learn more about the continental slope here,

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Answer:

x = 3

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 60^\circ=\frac{3\sqrt{3}}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{3\sqrt{3}}{\tan 60^\circ}[/tex]

Since:

[tex]\tan 60^\circ=\sqrt{3}:[/tex]

[tex]\displaystyle x=\frac{3\sqrt{3}}{\sqrt{3}}[/tex]

Simplifying:

x = 3

The volume of this cylinder to the nearest tenth is [tex]2545.7 cm[/tex] to the [tex]3rd[/tex].

Cylinder is defined as a [tex]3D[/tex] solid shape that holds two parallel bases joined by curved surface at fixed distance.

Volume is defined as the capacity of something. i.e. capacity of a cylinder is volume of cylinder.

We know that,

Volume of Cylinder [tex]= \pi r^{2} h[/tex]

We have,

Height of cylinder [tex]=10cm[/tex]

Base radius of cylinder [tex]=9cm[/tex]

To find the volume of the cylinder we will use the above formula,

Volume of Cylinder [tex]= \pi r^{2} h[/tex]

                                  [tex]=\frac{22}{7} *(9^{2} )*10[/tex]

                                  [tex]= 2545.7 cm^{3}[/tex]

Hence, we can say that the volume of this cylinder to the nearest tenth is [tex]2545.7 cm[/tex] to the [tex]3rd[/tex].

To know more about Cylinder click here

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Answer:

The answer is 50.24 I hope this is right!

Step-by-step explanation:

because you know that those sides are 8 and the other sides are 16.5 so you have to do Length x Width :)

Answer:

I'm going to say C

it looks the most reasonable to me

Answer:

20

Step-by-step explanation:

617/28=  22 (rounded too)

617/32= 19 ( rounded too)

19-22 is teh amount of classes that can be filled with 28 to 32 students.

20 is correct because it is around the amount of classes that there can be. !4 is too little so the number of students should be smaller.

30 and 60 classes are to big. there would only be about 10 or 20 kids per class

Answer:

I might be able to help if I could see the system of equations

Answer:

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