b is two-fifth of c
4a = 3c
work out the ratio a:b:c
give your answer in its simplest form where a,b and c are integers

Answer:

1.

Equation: y = -4x + 7

Slope: -4

y-intercept = 7

2.

Equation: y = 2/3x - 3

Slope: 2/3

y - intercept: -3

3.

Equation: y = 5/4x - 3/2

Slope: 5/4

y - intercept: -3/2

4.

Equation: y = -1/2x + 4

Slope: -1/2x

y - intercept: 4

Answer:

[tex]a=\dfrac{4x-7}{x}[/tex]

Step-by-step explanation:

The equations of lines are :

y=4x-5 and y=ax+2

From above equations,

4x-5 = ax+2

4x-ax = 5+2

4x-7 = ax

[tex]a=\dfrac{4x-7}{x}[/tex]

So, the value of a is equal to [tex]\dfrac{4x-7}{x}[/tex].

Answer:wow

Step-by-step explanation:

This is honestly amazing 10/10

answer:number of cupcakes sold is 13  Number of cookies sold is 27  

Step-by-step explanation:

Let x represent the number of cupcakes that Victor sold.  Let y represent the number of cookies that Jane sold.  Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day,  This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13

An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.

Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as

x + y = 68

x = 68 - y

Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,

2.25x + 0.50y = 95.25

2.25(68 - y) + 0.5y = 95.25

153 - 2.25y + 0.5y = 95.25

-2.25y + 0.5y = 95.25 - 153

1.75y = 57.75

y = 33

Now, substitute the value of x in the first equation.

x + y = 68

x + 33 = 68

x = 35

Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

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Answer:

6.63 pounds

Step-by-step explanation:

Total pounds of mixture = 20

The contents of the mixture are; peanuts and almonds. Of which;

Peanuts cost = $2.95 per pound

Almonds cost = $5.95 per pound

The mixture cost = $4.00 per pound

Total cost of contents of the mixture = $8.90

The pounds of peanuts = [tex]\frac{2.95}{8.90}[/tex] x 20

                     = 6.63

Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.

Answer:

3π

Step-by-step explanation:

period = 3π

Answer: 90 players.

Step-by-step explanation:

Since we are informed that in a survey of a random sample of 50 players, 3 players were hurt. This gives a fraction of 3/50 for those that are hurt.

Therefore, in a survey of 1500 players, the number of players expected to be hurt will be:

= 3/50 × 1500

= 90

Answer:

57

Step-by-step explanation:

<=1/2(AP-BN)

12=1/2(x-33)

(2) 12=1/2(x-33) (2)

24=x-33     24+33

57=x

57=AP

Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

0.36*942= 339.12 which we can round to 340

Answer:

3m:20m

Step-by-step explanation:

2km to m = 2000

300:2000

(divide both sides by 100)

300/100=3

2000/100=20

3:20

Answer:

3 : 20

Step-by-step explanation:

2km = 2000

Ratio:

300 : 2000 =

150 : 1000 =

75 : 500 =

15 : 100 =

3 : 20

Answer:

100

Step-by-step explanation:

14-12=2

10-6=4

4x2=8

divid it by 2 cos itza triangl

8/2=4

the smallr square

4x4=16

biggr square

10x8=80

4+16+80=100

Answer:

answer =100 ft²

Step-by-step explanation:

......hope it helps

Answer:

the line plot in the bottom right corner

Step-by-step explanation:

Answer:

D is the correct graph.

Step-by-step explanation:

First you put the entries in ascending order, because that's how the line plot needs to be ordered.

1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4

So right there, you can rule out A.

You can rule out C because 1/4 does not occur 5 times in the data set.

B is incorrect because 3/8 isn't on the line plot at all.

Please let me know if you have questions.

Though these segments aren't marked congruent in the diagram, the two lines inside the circle making up the bases of the triangles are congruent as all radii are congruent. So the triangles are congruent by SAS.

Answer: 3

Step-by-step explanation:

9514 1404 393

Answer:

  B, C, E

Step-by-step explanation:

When the central angles are congruent, the corresponding triangles are congruent:

  ΔJHK ≅ ΔLHM . . . . selection E

and the base chords are congruent:

  ML ≅ JK . . . . selection B

The subtended arcs are also congruent, so adding arc LK to each will result in congruent arc measures:

  arc MLK ≅ arc LKJ . . . . selection C

Answer:

answer b

Step-by-step explanation:

lol  points ig

Answer:

are you dead?

Step-by-step explanation:

Answer:

135degrees

Step-by-step explanation:

Find the diagram attached.

Note that in a cyclic quadrilateral, the sum of the opposite side of the quadrilateral is 180degrres.

According to the diagram shown:

<D+<I = 180

<D+45 = 180

Subtract 45 from both sides

<D+45-45 = 180-45

<D = 180-45

<D= 135°

Hence the measure of <D is 135degrees

Answer: 135

Step-by-step explanation: khan academy

Answer:

Step-by-step explanation:

g(x) =(1/4 x)²

g(x)  = 4x² will be the equation of the parabola.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, two parabolas f(x) and g(x),

From the general equation of the parabola,

y = a(x – h)² + k or x = a(y – k)² +h.

Here (h, k) denotes the vertex.

As we can see in our case, the vertex is (0, 0)

Thus, the equation of the parabola will be

y = ax²

Since the given parabola passes through the point (1, 4)

Substitute the values,

4 = a(1)²

a = 4

therefore, the equation of the parabola g(x) will be,

g(x)  = 4x²

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Answer:

1) Since Manuel bought 9 pounds and ate 3/4 of 1 pound, he has 8.25 pounds left   (9  - 0.75  = 8.25)

 2) Let's call "x" the cost of 1 pound of apples

 3) (8.25)*(x) = $15

 4) x = $1.81818    rounded to the nearest dollar is $2 / pound

An equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Let we take:

m = number of calories per buiscuit that Jonathan eats.

Then, for x buiscuits, it would be [tex]m \times x[/tex] calories, or in short [tex]mx[/tex] calories.

Let k = number of calories per package of pemmican, then:

for 6 packages of pemmican, it would be [tex]6 \times k[/tex] calories, or in short [tex]6k[/tex] calories.

Thus, total calories Jonathan consumes = y = calories from x buiscuits + calories from 6 packages of pemmican.

or, we get:

[tex]y = mx + 6k[/tex]

Thus, an equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

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Answer:

Each bus can fit

48

students, while each van can fit

12

students.

Step-by-step explanation:

Answer:

answer below

Step-by-step explanation:

I think you mean "squashed" or "stretched" vertically by a factor of 5.

f(x) is the original parabola equation

g(x) = 5f(x) is vertically stretched by a factor of 5

(x,y) -> (x , 5y)

Answer:

The correct anser for delta math is 68%

Step-by-step explanation:

I gave up on delta math

Answer:

A=36 ft²

Step-by-step explanation:

the formula for the area of a triangle is given as (b*h)/2, where b is the base and h is the height

we are given the a height of 3 and a base of 24

so we can plug what we know into the formula

A=(3*24)/2

multiply

A=72/2

divide

A=36 ft²

hope this helps!

Answer:

4x^2 - 14x + 19

Step-by-step explanation:  

A = LW

A = (2x-3) (2x-3)

4x^2 - 6x - 6x + 9

Combine like terms:

4x^2 - 12x + 9

-2(x - 5) (for both ovals)

(4x^2 - 12x + 9) -2(x - 5)

4x^2 - 12x + 9 - 2x + 10

Group then combine like terms:

4x^2 - 12x - 2x + 10 + 9

4x^2 - 14x + 19

Sorry for being 10 days late but here is the answer for anybody that needs this! :D

Answer:

1921 books remaining.

Step-by-step explanation:

This library is fairly organized, so each shelf only has 14 books. Now with 202 shelves, we multiple the shelves by the amount of books per shelf.

202x14=2,828

Now, with 2828 books in the library before being checked out, we need to find out how many books left after the students came.

2828-907=1,921

The answer is 1,921 books remaining.

Hope this helps!

Answer:

Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions

Step-by-step explanation:

to find the volume of a rectangular prism the formula is: Multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

check my explanation

Step-by-step explanation:

yes it is c.

by adding the ones on screen

it is option C

Answer:

8 chocolate bars

Step-by-step explanation:

56 / 7 = 8

( / = divide)