Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56

Answer:

y = 1/4 x - 31/4

Step-by-step explanation:

Slope (m) = 1/4

Point A (-1, -8)

y = mx + b

-8 = 1/4 (-1) + b

-8 + 1/4 = b

b = -32/4 + 1/4

b = -31/4

y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in

y = 1/4 x + - 31/4

y = 1/4 x - 31/4

See attachment for math work and answer.

Answer:

a = 11 , b = 2

Step-by-step explanation:

[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

Answer:

20 km/h

Step-by-step explanation:

the total time is 0.5 hours as the cyclist travels for 30 minutes

the formula for speed is distance travelled divided by time taken which gives us 20 km/hr

Answer:

Step-by-step explanation:

[tex]\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6[/tex]

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

Answer:

Associative Property

Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

Answer:

118 r0

Step-by-step explanation:

590/5=118

there is no remainder

hope this helps :3

if it did pls mark brainliest

Answer:

On Tuesday

591 burgers are sold.

Some are hamburgers and some are cheeseburgers.

59 fewer cheeseburgers sold than hamburgers.

Number of cheeseburgers --> x

Number of hamburgers --> y

x+y= 591 --> x = 591-y

x = y-59

so

591-y = y-59

-2y = -650

y = 325

so

x = 325-59

x =266

The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.

Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:

1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).

2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).

Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:

H + (H - 59) = 591

Now, combine like terms:

2H - 59 = 591

Next, isolate the term with H:

2H = 591 + 59

2H = 650

Now, solve for H:

H = 650 / 2

H = 325

So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:

C = H - 59

C = 325 - 59

C = 266

They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.

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Answer

7 = -x

Step-by-step explanation:

18- 8x = 8 + 3(1 - 3x)

18- 8x = 8 +3-9x

18- 8x = 11 - 9x

7- 8x = -9x

7 = -x

Answer:

x=-7

Step-by-step explanation:

step by step in picture.

Answer:

1. x is greater than -1

2. x is less than or equal to -1

3. x greater than or equal to -1

4. x is less than -1

Step-by-step explanation:

The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line

You should join my zoom call

Answer:

Step-by-step explanation:

Step one:

given data

diameter of circle= 12 in

the radius is r=d/2=6in

the area of the circle is

A=πr^2

A=3.142*6^2

A=3.142*36

A=113.1in^2

If the circle is folded in half, the area will be A/2= 113.1/2= 56.55in^2

In the corresponding shape is folded again the area is A/4= 28.3in^2

The expression for the last shape is

A= πr^2/4

Answer:

2 and - 1

Step-by-step explanation:

Calculate the gradients using the slope formula

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

with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A

[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B

[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

Answer:

x-intercept= ( 0.9, 0)

y-intercept= (0,-3)

Step-by-step explanation:

Graph out the equation and look for the x and y intercept.

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

Answer:

653

Step-by-step explanation:

Answer:

12

bcz he can't put a 0.725 fish so it will be rounded up back to 12

The greatest number of neon tetra fish he puts in the tank is 12.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.

The tank is 55 cm wide, 28 cm long and height is 33 cm.

And the surface of the water in the tank is 3 cm below the top of the tank.

That means,

to determine the volume,

So, the volume of cuboid

= 55 x 28 x 33

= 50820 cubic centimeters.

And we know 1000 cubic centimeters is 1 liter of water.

So, 50820 = 50.820

And divide by 4

We get the greatest number of neon tetra fish he puts in the tank.

50.820 / 4

= 12.705

≈ 12

Therefore, 12 is the required number for neon tetra fish.

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Answer:

(0,-2) and (1,1)

Step-by-step explanation:

The solution points at the intersection of what is above the orange line and belothe blue line.

(-5, 5) is only in the orange zone so X

(0,3) is on the blue line that is doted so X

(0,-2) is on the orange line that is solid so ✅

(1,1) is in the orange and blue so ✅

(3,-4) is in the blue zone only so X

Answer:

hoi

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]

To make this easier, to get ride of the fractions, we can multiply both sides by 4

[tex]2(x+15) = 8 + 3(x-4)[/tex]

now use the distributive property

[tex]2x + 30 = 8 + 3x - 12\\[/tex]

now we want to isolate x to one side and isolate all the constants to the other

[tex]2x - 3x = 8 - 12 - 30\\[/tex]

now simplify

[tex]-x = -34\\x = 34[/tex]

to test, we can plug in back to the original

[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]

it works

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

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Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]

Answer:

Step-by-step explanation:

y=1/2-5x

Answer:

Step-by-step explanation:

Using points on the graph to get the equation

Slope intercept form:

From the graph, point (0, -5) we can see y-intercept is b = -5

An calculating the slope using two points (-6, -3) and (6, -7):

So the line is:

Answer:

Hi I can help!!

Step-by-step explanation:

1. Collect like terms.

9x-X+(-2+7)9x−X+(−2+7)

2. Simplify.

9x-X+59x−X+5

3. Get the final answer 8x-9

Answer:

32 percent

Step-by-step explanation:

32 plus 68 =100

32 divided by 100 equals .32 or 32 percent

Answer:

Your answer is C, 32%

Step-by-step explanation:

It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.

Answer:

3

Step-by-step explanation:

The linear function or equation in the slope-intercept form will be y = -4x - 5.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The linear function is given as,

y = mx + c

Here, m is the slope while c is the y-intercept.

Slope m = (-13 + 9)/(2 - 1)

m = -4

Put m = -4, (1,-9)

-9 = -4(1) + c

c = -5

y = -4x - 5

Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".

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