The ordered pair (2, -4) is a solution to the system y= -2x and x -2y = 10.​

Answer:

[tex]\displaystyle y=\frac{7}{2}x-3[/tex]

Step-by-step explanation:

We wan to determine the equation of a line that passes through the point (2, 4) and is parallel to:

[tex]\displaystyle y=\frac{7}{2}x-5[/tex]

Since our new line is parallel to our equation, this means that the two lines have the same slope.

Therefore, the slope of our new line is also 7/2, the slope of the original.

Now, we can use the point-slope form:

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

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute 7/2 for m.

Let's let our point (2, 4) be (x₁, y₁). Hence:

[tex]\displaystyle y-4=\frac{7}{2}(x-2)[/tex]

Solve for y. Distribute:

[tex]\displaystyle y-4=\frac{7}{2}x-7[/tex]

Add 4 to both sides.Therefore, our equation is:

[tex]\displaystyle y=\frac{7}{2}x-3[/tex]

Answer:

[tex]=\frac{2a^4}{3bd}[/tex]

Step-by-step explanation:

Given expression is,

[tex]\frac{2ab^{-1}}{3a^{-3}d}[/tex]

Further simplify the expression by converting the negative exponents into positive.

[tex]b_1=\frac{1}{b}[/tex]

[tex]a^{-3}=\frac{1}{a^3}[/tex]

By substituting these terms in the given expression,

[tex]\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}[/tex]

         [tex]=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }[/tex]

         [tex]=\frac{2a}{b}\times \frac{a^3}{3d}[/tex]

        [tex]=\frac{2a^4}{3bd}[/tex]

Answer:

thats hard dude why are you doing it

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

they both equal to 2 pedestirans: 1 day

Answer: Yes.

Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.

Answer:

There will be no common solution

Step-by-step explanation:

Given that the lines that represent the equations in the system of the two linear equations have equal slope but that their y-intercept are different, we have;

The two lines are parallel to each other

The two lines are different lines, given that they have different y-intercept

By definition of parallel lines, we have that the two lines representing the two equations will never meet, and therefore, both equations do not have a common solution which is a value that satisfies both equations

Therefore, the two equations in the linear system of equations, do not have a common solution

Answer:

-2

Step-by-step explanation:

Answer:

Ahmed needs 225g of flour to make 12 pancakes.

Step-by-step explanation:

With the information provided, you know that the recipe uses 150g of flour for 8 pancakes and you can use a rule of three to find the amount of flour needed to make 12 pancakes:

150g  →  8 pancakes

   x    ←  12 pancakes

x=(150*12)/8= 225g

According to this, the answer is that Ahmed needs 225g of flour to make 12 pancakes.

Answer:

pneumonoultramicroscopicsilicovolcanoconiosis is the word

Step-by-step explanation:

Answer:

100 is the closest but that only leaves you with 63 not 630. It would have to be 1000.

Step-by-step explanation:

Answer:

The answer is -3

Step-by-step explanation:

Slope means the rate of change of a line which is the letter m. Whenever you need to find slope remember this: m= y2-y1 over x2-x1.

(x1,y1)= (-3,7), ( x2, y2) = (0,-2) so the slope is -3.

Answer:

$732.5

Step-by-step explanation:

Mae Ling earns a weekly salary of $365 which means salary per week is $365

Then plus a 7.5% commission on sales at a gift shop if she sold $4,900 worth of merchandise, which means additional

(0.075×4900)=367.5

The total she make will be

367.5+365

=$732.5

Therefore,she will make $732.5 in a work week if she sold $4,900 worth of merchandise

Answer:

[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]

[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]y=x^2\:+\:5x\:+\:7[/tex]

[tex]y\:=\:x\:+4[/tex]

steps to solve the system of the equations

[tex]\begin{bmatrix}y=x^2+5x+7\\ y=x+4\end{bmatrix}[/tex]

subtract the equations

[tex]y=x^2+5x+7[/tex]

[tex]-[/tex]

[tex]\underline{y=x+4}[/tex]

[tex]y-y=x^2+5x+7-\left(x+4\right)[/tex]

[tex]0=x^2+4x+3[/tex]

solving

[tex]0=x^2+4x+3[/tex]

[tex]\left(x+1\right)\left(x+3\right)=0[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x+3=0[/tex]

[tex]x=-1,\:x=-3[/tex]

[tex]\mathrm{Plug\:the\:solutions\:}x=-1,\:x=-3\mathrm{\:into\:}y=x^2+5x+7[/tex]

substitute [tex]x=-1[/tex] into [tex]y=x^2+5x+7[/tex]

[tex]y=x^2+5x+7[/tex]

[tex]y=\left(-1\right)^2-5\cdot \:1+7[/tex]

[tex]y=1-5+7[/tex]

[tex]y=3[/tex]

Now substitute [tex]x=-3[/tex] into [tex]y=x^2+5x+7[/tex]

[tex]y=x^2+5x+7[/tex]

[tex]y=\left(-3\right)^2+5\left(-3\right)+7[/tex]

[tex]y=3^2-15+7[/tex]

[tex]y=3^2-8[/tex]

[tex]y=9-8[/tex]

[tex]y=1[/tex]

[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]

[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]

Answer:

add 10 which gives yoy 5x=10 divode by 5 that givdz u 2

Answer:

x = 2

Step-by-step explanation:

Answer:

Austin has the better average speed by 5 mph

Step-by-step explanation:

The slope of Dylan’s graph will his average speed

Let’s select two points on the graph to use

The slope can be calculated as;

m = (y2-y1)/(x2-x1)

m = (90-30)/(6-2)

m = 60/4

m = 15

So the equation for Dylan would be

d = 15t

This shows that Austin has a faster average speed by 5 mph

Answer:

Mya’s equation

Step-by-step explanation:

Given that:

Detergent left in bottle after a certain number of washes x

Dexter’s equation,

y= -1.6x+50

Mya’s equation,

y = 50(.75)x

y = Detergent left in bottle.

Given that amount of Detergent left is about 1/2 ounces = y

For Dexter’s equation,

y= -1.6x+50

0.5 = 1.6x + 50

0.5 - 50 = 1.6x

-45.5 = 1.6x

x = 28.4375

For Mya’s equation :

y = 50(0.75)x

0.5 = 37.5x

0.5 / 37.5 = x

0.0133333 = x

Hence, Mya’s equation

Answer: 12

3×12=36

4×12=48

5×12=60

I hope this is good enough:

Answer:

2 facturas de grasa.

12 facturas con dulce de leche

4 medialunas

Step-by-step explanation:

Una docena contiene 12 facturas y media docena contiene 6 facturas. Entonces Joaquin compro un total de 18 facturas (12+6). Si la novena parte (1/9) de las facturas son de grasa entonces solo multiplicamos esta fraccion por la totalidad de las facturas.

18 * (1/9) = 2 facturas de grasa.

La cantidad de facturas que tienen dulce de leche son dos tercios (2/3) de la totalidad. Entonces multiplicamos esta fracion for la totalidad.

18 * (2/3) = 12 facturas con dulce de leche

Por final, la cantidad de media lunas es el resto de las facturas, entonces descontamos las facturas de grasa y con dulce de leche de la totalidad para saber cuantas facturas son medialunas

18 - 2 - 12 = 4 medialunas

Explication étape par étape:

Soit la gratitude totale x

Montant reçu par le premier employé = 150 euros

Si le second reçoit 7/20 de la gratification, alors;

Deuxième reçoit = ​​7/20 × x

Si le troisième reçoit 5/28 de la gratification, alors

Le troisième reçoit 5/28 × x -

Si le quatrième reçoit le 9/35 de la gratification, alors;

Le quatrième reçoit 9/35 × x

Il faut ensuite calculer le pourboire total x.

Résumer tout le montant reçu

7x / 20 + 5x / 28 + 9x / 35 +150 = x

0,35x + 0,179x + 0,257x + 150 = x

0,786x + 150

x-0,786x = 150

0,214x = 150

x = 150 / 0,214

x = 700,9 euros

2) Pour obtenir le partage collecté par le premier, nous utiliserons l'expression

X × 700,9 = 150

x = 150 / 700,9

x ≈ 15/70

x≈ 3/14

D'où le premier a recueilli environ 3/14 de la gratification totale.

2) seconde collectée 0,35x

= 0,35 × 700

≈245 euros

Le troisième a recueilli 5/28 de x

Le troisième a collecté 5/28 × 700

= 3500/28

= 125 euros

Le quatrième a recueilli 9/35 de x

= 9/35 × 700

= 6300/35

≈ 180 euros

Answer:

11.45 + 57.25

Step-by-step explanation:

$68.70 is the correct answer because the question asks WHAT IS THE TOTAL COST FOR THE DINNER

The total cost he paid is $68.7

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part;

Given:

Bill for dinner is $57.25

20% tip was given

So, 20% on 57.25 is

=0.20 * 57.25

=11.45

Hence, total he paid = 57.25 +11.45 = 68.7

Learn more about percentage here:

https://brainly.com/question/13244100

#SPJ2

Answer:

Step-by-step explanation:

Given that 1/4 pounds = 1/8 gallons

We are to find the unit rate per gallon, hence we will say;

x pounds = 1 gallon

Equate both expression

1/4 pounds = 1/8 gallons

x pounds = 1 gallons

Cross multiply

1/8 * x = 1/4

divide both sides by 1/8

(1/8x)/(1/8) = (1/4)/(1/8)

x = 1/4 * 8/1

x = 1/4 * 8

x = 2 pounds

Hence the unit rate per gallon is 2 pounds per gallon

Her error was that he multiplied both values together to arrive at 1/32 instead of dividing as shown in the

Answer:

1

Step-by-step explanation:

First we need to find g (2) from g (2) = 2 ^ 2 to 4.

the result is 4, so f (4) asks, so f (4) = 4-3 = 1

Answer:

y=-4/3x-5    y=7/6x-5

Step-by-step explanation:

That should be your answer I have already learn this so that should be right

Answer:

3x - 6b

Step-by-step explanation:

Answer:first fine the perimeter 42cm then do the lenth then width and u get the answer

Step-by-step explanation:

or find it on google

Answer:

length= 14cm and width= 7cm

Step-by-step explanation:

Answer: The slope is -1.

Answer:

Yes (Answer to number 9)

Step-by-step explanation:

Isaac's answer is reasonable because if you do 365 times 8 you get 2,920. There are 365 days in a year and he said he drinks 8 glasses a day so that's how you get those numbers.

Answer:

Two places to the left = 7.516

Step-by-step explanation:

Answer:

Step-by-step explanation:

751.6 ÷ 100 = 7.516

and that means that

the decimal point moves

two times to the right.

Hope this helps! <3

Answer:

Step-by-step explanation:

Hope this helped (:

Answer:

y^6

Step-by-step explanation:

Answer:

the answer would be y^6

Answer:

The item is now 35$.

Step-by-step explanation:

First, find 65% of 100, which is 65. Then subtract the discount, or the "mark down" from 100. This gets you $35, so the item is $35 after the mark down.