Write the equation of the line passing through points (2,-2) and (1,0) in slope intercept form.

6 cups of flour would be needed to make an entire batch of cookies.

Given that,
A recipe calls for 1 1/2 cups of flour to make 1/4 of a batch of cookies.

To determines the number of cups of flour that would be needed to make an entire batch of cookies.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,

1 1/2 cups of flour => 1/4 batch of cookies
3/2 cups of flour => 1 / 4 batch of cookies
Multiply by  both sides,
4 * 3 / 2 cups of flour => 4 * 1 / 4 batch of cookies
6 cups of flour => 1 batch of cookies

Thus, 6 cups of flour would be needed to make an entire batch of cookies.

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Answer:

8.2, 10.5, 5.5

Step-by-step explanation:

To find: quotient when 7 is divided by 0.85, 9.6 is divided by 0.91 and 17.7 is divided by 3.2

Solution:

Division is one of the arithmetic operations.

7 divided by 0.85 = [tex]\frac{7}{0.85}=\frac{700}{85} =8.2[/tex]

9.6 divided by 0.91 = [tex]\frac{9.6}{0.91}=\frac{960}{91} =10.5[/tex]

17.7 divided by 3.2 = [tex]\frac{17.7}{3.2}=\frac{177}{32} =5.5[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1. The table can be filled in like this:

The constant of proportionality is the ratio of y to x:

  k = 3/2

__

2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.

__

3. The equation is y=kx, where k is the value in part 1:

  y = (3/2)x

Answer:

Step-by-step explanation:

Answer:

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

Answer:

2√6 + 1

Step-by-step explanation:

Given expression:

           4(x-1)²  = 96

Solving by square root;

  Square root both sides;

         [tex]\sqrt{4(x-1)^{2} }[/tex]   = √96

           √4(x-1)²  = √6x16

          √4(x-1)²  = 4√6

           2(x-1) = 4√6

 Divide both sides by 2;

            x-1  = 2√6

  Add 1 to both sides;

            x  = 2√6 + 1

Answer:

3/4

Step-by-step explanation:

6/8 = 3/4

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment

Answer:

[tex]the \: equation \: of \: the \: line \: is \to \\ \boxed{ \underline{y = 2x - 8 }}[/tex]

Step-by-step explanation:

[tex]according \: to \: the \: provided \: info : \\ the \: equation \: of \: the \: line \: is \to \\ y - y_{1} = m(x - x_{1}) \\ y - 6 = 2(x -7) \\ y = 2x - 14 + 6 \\ \underline{y = 2x - 8 }[/tex]

Answer:

:O

Step-by-step explanation:

Answer:16- i^2

Step-by-step exp

foil

Answer:

17

Step-by-step explanation:

Answer:

Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

Step-by-step explanation:

Answer:

Pretty much everything, my dude

Step-by-step explanation:

May I have brainliest please? :)

Answer:

97 meters

Step-by-step explanation:

The area of a rectangle is its length multiplied by its width. Substitute the known values into this equation and solve for the length, l:

a = lw

8342 = 86l

l = 97

Answer: I think is 3.5

Step-by-step explanation:

Answer:

Hence,

a=19,b=19,c=3

a=11,b=7,c=23

Step-by-step explanation:

[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]

Hence,

[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]

[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]

[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]

Answer:

Let the numbers be x and y

x+y=100

x-y=95

taking x-y=95

x=95+y

x+y=100

95 + y +y = 100

2y=100-95

y=5/2

y=2.5

x=95+y

x=95+2.5

x= 97.5

Hope it helps...............

The two numbers are 97.5 and 2.5.

Subtraction is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

The sum is 100 and the difference is 95.

x + y = 100 ⇒ x = 100 - y

x - y = 95

Substituting x = 100 - y in the second equation,

100 - y - y = 95

100 - 2y = 95

2y = 100 - 95

2y = 5

y = 5/2 = 2.5

x = 100 - y = 100 - 2.5 = 97.5

Hence the numbers are 97.5 and 2.5.

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Given:

A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

[tex]y=3x[/tex]

[tex]f(x)=3x[/tex]

Equation of after transformation is

[tex]y=3(x+8)[/tex]

[tex]g(x)=3(x+8)[/tex]

Now,

[tex]g(x)=f(x+8)[/tex]      ...(i)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

[tex]a=8\text{ and }b=0[/tex]

Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.

Answer:

$720

Step-by-step explanation:

Use the simple interest formula and plug in each variable into the formula

I=PRT

P=$6000

R=3% (0.03)

T=4 years

Answer:

Step-by-step explanation:

Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.

[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]

Given:

Basic cost = $45

Cost of long distance calls = $0.10 per minute

To find:

The total cost if you had 45 long distance minutes.

Solution:

Let the total cost be y for x minutes long distance calls.

Cost of long distance calls for one minute = $0.10

Cost of long distance calls for x minute = $0.10x

Total cost = Basic cost + Cost of long distance calls for x minute

[tex]y=45+0.10x[/tex]

Substitute x=45, to find the total cost if you had 45 long distance minutes.

[tex]y=45+0.10(45)[/tex]

[tex]y=45+4.5[/tex]

[tex]y=49.5[/tex]

Therefore, the total cost if you had 45 long distance minutes is $49.5.

Answer: 19, I had to get the question wrong :/

The value of x is 19

From the question we understand that TRAP is an isosceles trapezoid

This means that the adjacent angles add up to 180 degrees.

So, we have:

5x + 9 + 4x = 180

Evaluate the like terms

9x = 171

Divide both sides by 9

x = 19

Hence, the value of x is 19

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Answer:

the answer is D

Step-by-step explanation:

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

Answer:

=64

Step-by-step explanation:

7(3+3+3)+1

=7(6+3)+1

=(7)(9)+1

=63+1

=64

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

Answer:

4828

Step-by-step explanation:

68x71=4828

Answer:

dear explain your question briefly

Step-by-step explanation:

We will try to explain you

The round off -5 1/2 to whole number is -6.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Fraction: -5 1/2

Now, converting it to the decimal

= -11/2

= -5.5

now, rounding off to whole -5.5 will lie between -5 and -6.

Hence, the whole number round off for - 1/2 is -6.

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Answer:

Step-by-step explanation:

(a). SR = 15√2 km ≈ 21.2 km

R is 21.2 km due South-East of S

(b). RQ² = 35² + 15² ⇒ RQ = 5√14 km ≈ 38.1 km

R is 38.1 km due South-West of Q