These tables of ordered pairs represent some points on the graphs of lines s and t.

Which system of equations is represented by lines s and t?


5x−2y=−157x+4y=20


3x+5y=−185x−9y=25


x+4y=−89x−y=21


2x−y=−142x+y=6

Answer:

3/2 is the slope and (0,5) is the y-intercept

Step-by-step explanation:

We need slope-intercept form for this question, so we simplify the equation into:

-2y=-10-3x which is just

y=5+3/2x =

y=3/2x+5

When we compare this to y=mx+b, we see that 3/2 is the slope and (0,5) is the y-intercept.

Answer: The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 5.

Step-by-step explanation:

The equation is 3x - 2y = -10

We need to turn 3x - 2y = -10 into slope intercept form.

y = mx + b → slope-intercept form

3x - 2y = -10

-3x           -3x

-2y = -3x - 10

Divide the whole equation by -2

y = [tex]\frac{3}{2}[/tex]x + 5

The slope of the equation is [tex]\frac{3}{2}[/tex] and the y-intercept is -2.

The area wiped by the viper blade is approximately 486.7 square inches.

The area wiped by the wiper blade ([tex]A[/tex]), in square inches, is equal to the area of the circular section described below:

[tex]A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})[/tex] (1)

Where:

If we know that [tex]\theta = 130^{\circ}[/tex], [tex]R = 25\,in[/tex] and [tex]r = 14\,in[/tex], then the area wiped by the wiper blade is:

[tex]A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}][/tex]

[tex]A \approx 486.7\,in^{2}[/tex]

The area wiped by the viper blade is approximately 486.7 square inches.

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Answer:324.24??? Not sure just a guess.

Step-by-step explanation:

Answer:Full wall is 6 times 1/6 (6*1/6=1), so 6 times half a gallon, or 3 gallons.

Step-by-step explanation:

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

Additional comment

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

Answer:

Applicants for the federal funding

Step-by-step explanation:

Answer:

16,32,16

Step-by-step explanation:

We can see that there is a pattern in this ratio table- 4, 8, 12. I can assume that the next number will be 16, beucase 4+4=8, 8+4=12, 12+4=16.  For the apple juice, we just follow the same pattern as for the orange juice, by adding the number by itself, so the patttern is 8, 16,24, 32.

Answer:

1/32

Step-by-step explanation:

Answer:

[tex]\huge\boxed{y-4=8(x+6)}[/tex]

Step-by-step explanation:

The equation of a line in the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m-slope\\\\(x_1;\ y_1)-point[/tex]

We have:

[tex]m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4[/tex]

Substitute:

[tex]y-4=8(x-(-6))\\\\y-4=8(x+6)[/tex]

Answer:

19 x 2 38 is ur answer to the problem

Answer:

20 servings of 100-milliliter sports drink

Step-by-step explanation:

Answer:

f+3

incresed means +

Answer:

The expression for 'f increased by 3' will be f+3.

Step-by-step explanation:

This means that 3 will be added to 'f'. Since, 'f' is a variable and '3' is a numeral, therefore they cannot be added. The expression for it will be f+3.

Have a great day! :D

Answer:

X=11/5

Step-by-step explanation:

Hope your cheating is nice

Answer:

[tex]x=\cfrac{11}{5}[/tex]

Step-by-step explanation:

[tex]25+30=15x+10x\\15x+10x=25+30\\25x=25+30\\25x=55\\\cfrac{25x}{25}=\cfrac{55}{25}\\x=\cfrac{11}{5}[/tex]

Step-by-step explanation:

Reduce 24/96 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.

24 ÷ 2496 ÷ 24.

Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.

Step-by-step explanation:

Here is an Explanation

Reduce 24/96 to lowest terms

The simplest form of

24

96

is

1

4

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 24 and 96 is 24

Divide both the numerator and denominator by the GCD

24 ÷ 24

96 ÷ 24

Reduced fraction:

1

4

Therefore, 24/96 simplified to lowest terms is 1/4.

Answer:

chu papi

Step-by-step explanation:

Answer:

33.6

Step-by-step explanation:

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

The problem 4.8 x 7 is a multiplication problem. The solution to 4.8 x 7 is 33.6.

Here, we have,

given that,

The problem 4.8 x 7 is a multiplication problem.

To solve it, we multiply 4.8 by 7.

4.8 x 7

Therefore, the answer to the problem 4.8 x 7

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

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Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

Answer:

x = about 2.705

Step-by-step explanation:

Does this help? Are you supposed to find x? That's what I did but you don't state what exactly you need.... So.....?

Answer:

8

Step-by-step explanation:

cus...

Answer:

Is there a reference? there's insufficient information.

Step-by-step explanation:

Answer:

it should be 60°. the single marks on each side means they are all equal

Answer:

m∠L=60º

Step-by-step explanation:

The triangle is an equilateral triangle meaning that all angles and sides are equal.

m∠L=60º

Hope this helps :)

Check the picture below.

The number of groups that may make will be 5.

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.

Maya utilized a drawing to partition 86 she made gatherings of 17 with 1 remaining over.

Then the number of the groups that may make will be given as,

⇒ (86 - 1) / 17

Simplify the expression, then we have

⇒ (86 - 1) / 17

⇒ 85 / 17

⇒ 5

The number of groups that may make will be 5.

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The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter ([tex]p[/tex]), in feet, and the area of the rectangular plot ([tex]A[/tex]), in square feet, of land are described below:

[tex]p = 2\cdot (w+l)[/tex] (1)

[tex]A = w\cdot l[/tex] (2)

Where:

In addition, the cost of fencing of the rectangular plot ([tex]C[/tex]), in monetary units, is:

[tex]C = c\cdot p[/tex] (3)

Where [tex]c[/tex] is the fencing unit cost, in monetary units per foot.

Now we apply (2) and (3) in (1):

[tex]p = 2\cdot \left(\frac{A}{l}+l \right)[/tex]

[tex]\frac{C}{c} = 2\cdot (\frac{A}{l}+l )[/tex]

[tex]\frac{C\cdot l}{c} = 2\cdot (A+l^{2})[/tex]

[tex]\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A[/tex]

[tex]\frac{C\cdot l}{2\cdot c} - l^{2} = A[/tex] (4)

We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:

FDT

[tex]\frac{C}{2\cdot c}-2\cdot l = 0[/tex]

[tex]l = \frac{C}{4\cdot c}[/tex]

SDT

[tex]A'' = -2[/tex]

Which means that length leads to a maximum area.

If we know that [tex]c = 8[/tex] and [tex]C = 4000[/tex], then the dimensions of the rectangular plot of land are, respectively:

[tex]l = \frac{4000}{4\cdot (8)}[/tex]

[tex]l = 125\,ft[/tex]

[tex]A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}[/tex]

[tex]A = 15625\,ft^{2}[/tex]

[tex]w = \frac{15625\,ft^{2}}{125\,ft}[/tex]

[tex]w = 125\,ft[/tex]

The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

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Answer:

-9/4

also known as

-2  1/4

Step-by-step explanation:

(10-1)/(5-9) = 9/-4

parallel = same slope

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope m of line f using the slope formula

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

with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )

m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line g = - [tex]\frac{9}{4}[/tex]

Answer:

4.30 naira

Step-by-step explanation:

Splitting in half, we have that they both get 3.60 naira each. Adding 70 kobo to 3.60 naira, we have 4.30 naira. Since we need Tayo's share to be 70 kobo more than Bisi's, we give Tayo the bigger share and the left cash to Bisi (2.90 naira).

Tayo will get 3.95 more than the naira of the given shares.

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.

Let's call the amount that Visit gets "x".

According to the problem, Tayo gets 70 kobos (0.70 nairas) more than Visit. So, Tayo gets:

x + 0.70

The total amount of money shared between them is 7.20 naira. So, we can set up an equation:

x + (x + 0.70) = 7.20

Simplifying this equation, we get:

2x + 0.70 = 7.20

Subtracting 0.70 from both sides, we get:

2x = 6.50

Dividing both sides by 2, we get:

x = 3.25

To find out how much Tayo gets, we can use the equation we came up with earlier:

x + 0.70

Substituting x = 3.25, we get:

3.25 + 0.70 = 3.95

Therefore, Tayo will get 3.95 more than the naira.

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Answer:

28

Step-by-step explanation:

10 - (-18)

=> 10 + 18

=> 28

Hoped this helped.

Answer:

10 - (-18)

= 10 + 18

= 28

Step-by-step explanation:

Answer: She would've used 82 gallons