A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.

Write an equation to represent the relationship between s, sugar, and f, flour.

Answer (assuming the question allows it to be written in slope-intercept form):

[tex]y = -\frac{3}{5} x-\frac{9}{5}[/tex]

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the given points' x and y values, and simplify:

[tex]m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}[/tex]

Thus, the slope is [tex]-\frac{3}{5}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

[tex]y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}[/tex]

Answer:

y = -3

Step-by-step explanation:

Answer: 40%

Step-by-step explanation:

6/15 = 0.4 = 40%

Answer:

40%

Step-by-step explanation:

Since there are 15 fruites, and 6 of them are apples,

then, 6/15 of all the fruites are apples.

Converting 6/15 in a percentage, we get:

6/15 = 0.4 = 40%

Answer:

-13

Step-by-step explanation:

Subtract  4  from both sides of the equation

+ 4 = − 9

+ 4 − 4 =− 9 − 4

Simplify

Solution:

= − 1 3

Answer:

x = -13

Step-by-step explanation:

I hope it helps you, sorry if it is wrong.

Answer:

e

Step-by-step explanation:

Answer:

Perimeter = 64 inches

Step-by-step explanation:

40':20" = 1':1/2"

24' =12"

20+20+12+12 = 64 inches

Answer:

31°

Step-by-step explanation:

because angle a and angle b are complementary they equal 90 degrees in total

a+b=90

since angle a = 59°

59+b=90

so you use subtraction property of equality and subtract 59 from both side of the equal sign

59+b=90

-59    -59

b= 31°

Answer + explanation:

Part 1: First, find the area of one triangle using the formula base * height / 2. You have base = 10 and height = 7, so area = 7 * 10 /2 = 70/2 = 35. Since you're finding the combined area of 4, you have to do 35 * 4 = 140.

Part 2: To do this, find the side length of the square. Looking at the picture, you see that all you have to do is 10 + 7 = 17 to find one side. Then, to find the area do 17 * 17 = 289.

Part 3: To find the area of the small square, all you do is area of the large square - combined area of 4 small triangles, so 289 - 140 = 149.

Part 4: a^2 = 7 * 7 = 49. Then, b^2 = 10 * 10 = 100. Adding them together, you get 100 + 49 = 149.

Part 5: Since you already have the a^2 + b^2 part, all you need to do is find what c^2 is. You can see in the picture that c^2 equals the area of the small square, which you found in part 3. c^2 = 149. Then, you have 149 and 149, which are equal so the answer is =.

Answer:

x=9

Step-by-step explanation:

I took one side, and made proportions:

12:16

3:4

so, x-1:6=3:4

(x-1)/6=3/4

solve it for x=9

Answer:

9

Step-by-step explanation:

Hope this helps!

Plz Mark Brainliest!

Answer:

4 is the slope

Step-by-step explanation:

y−6=4(x+5)

This equation is in point slope form

y -y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

4 is the slope and ( -5,6) is a point on the line

Answer:

45

Step-by-step explanation:

If x and y are positive integers, what is the value of x√+y√x+y?

(1) x + y = 10

(2) xy−−√=2xy

Answer:

Step-by-step explanation:

The answer choices are not displaying properly. There are many ways to express the relation. For example:

X = 60% of 25

X = 0.60 × 25

X = 0.6 × 25

X = 60/100 × 25

X = 6/10 × 25

X = ⅗ × 25

The vertex of the absolute function g(x) = |x|- 8 lies at (0,-8).

The absolute value or modulus of a real number x, denoted by |x|, is its non-negative value regardless of its sign.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the absolute function is g(x) = |x| - 8. The vertex will be calculated by plotting the function on the graph.

From the graph, the vertex of the absolute function lies at the point ( 0,-8). The graph is attached with the answer below.

To know more about an absolute function follow

https://brainly.com/question/24734454

#SPJ2

Answer: 95 divided by 9 is 10.5 BUT WITH THE 5 REPEATING

Step-by-step explanation:

Answer:

3 3/5 + 1 1/4 = 4 17/20

7/8 + 1/12 = 23/24

8/9 - 2/5 = 22/45

5 1/4 - 2 2/3 = 2 7/12

Step-by-step explanation:

3 3/5 + 1 1/4

First convert into improper fractions

= 18/5 + 5/4

Now find the common denominator

72/20 + 25/20 =

97/20

Now simplify

4 17/20

Next problem:

7/8 + 1/12

find the common denominator

21/24 + 2/24 =

23/24

Next problem:

8/9 - 2/5

find the common denominator

40/45 - 18/45 =

22/45

Next problem:

5 1/4 - 2 2/3

First convert into improper fractions

21/4 - 8/3

find the common denominator

63/12 - 32/12 =

31/12

Now simplify

2 7/12

Answer: Length = 35

Width = 21

Step-by-step explanation:

From the question, we are informed that the area of a rectangle is 735 in squared and that the ratio of the length to the width is 5 : 3.

To find the length and the width of the rectangle goes thus. We should note that the area of a rectangle is the length multiplied by the width.

Therefore, 5x × 3x = 735

15x² = 735

x² = 735/15

x² = 49

x = ✓49

x = 7

Recall that length = 5x = 5 × 7 = 35

Width = 3x = 3 × 7 = 21

Step-by-step explanation:

so therefore mark jogged 2 36/70km more than his sister

The number of kilometers that Mark jog more than his sister will be 32 / 35 km.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mark jogged 3 ⁵/₇ km. His sister jogged 2 ⁴/₅ km.

Convert the mixed fraction number into a fraction number. Then we have

3 ⁵/₇ = 3 + 5/7 = 26/7

2 ⁴/₅ = 2 + 4/5 = 14/5

Then the number of kilometers that Mark jog more than his sister will be given as,

⇒ 26/7 - 14/5

⇒ 32 / 35 km

The number of kilometers that Mark jog more than his sister will be 32 / 35 km.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

how to solve 2x+2y=2 , -4x+4y=12

this is  solving equations using substitution .... i have ALOT more but i juss dnt get this stuff

2x + 2y = 2      -4x + 4y = 12

x + y = 1

x = 1 - y

-4x + 4y = 12

-4(1 - y) + 4y = 12

(-4 + 4y) + 4y = 12

-4 + 8y = 12

8y = 16

y = 2

2x + 2y = 2

2x + 2(2) = 2

2x + 4 = 2

2x = -2

x = -1

Check.

-4x + 4y = 12

-4(-1) + 4(2) = 12

4 + 8 = 12

Answer: x = -1 and y = 2

Step-by-step explanation:

Answer:

B, the slope is positive.

Step-by-step explanation:

You can tell that the slope is positive because it is going upwards from left to right.

Answer:

The cost of 1 scarf is $12.25 each.

Step-by-step explanation:

Answer and explanation:

Given that initial population of fruit flies = 4

And population of fruit flies triple every week

If population of fruit flies triple every week then let x represent number if weeks

Therefore function can be modelled thus :

f(x)= 4 + 3x

To demonstrate that the function is correct, we use an example. Now assume population grows for two weeks, using the function:

f(2)= 4+3×2

f(2)= 10

Therefore population grows to 10 fruit flies in 2 weeks based on our function

Answer: why?

Step-by-step explanation:

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

Answer:

V = 4/3 * pi * radius^3

 = 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....

Step-by-step explanation:

Answer:

479,001,600 different arrangements

Step-by-step explanation:

Answer:

imma say 10/4

Step-by-step explanation:sorry if wrong

Answer: 5 feet 2 yards

Step-by-step explanation: Just divide both of the numbers by a number that both of them can go through

Answer:

1/125 cm^3

Step-by-step explanation:

Given data

Length of one side = 1/5cm

Required

The volume of the cube

We know that

V= l^3

substitute

V= (1/5)^3

V= 1/125cm^3

Hence the volume is 1/125 cm^3

Answer:

2x^2+23.

Step-by-step explanation:

Combine like terms.

This expression simplified is 2x^2+23.

Answer:

first blank is -3/2

Step-by-step explanation:

second blank is 2