7x-12y=180 7x=84
i need someone to explain step by step

Answer:

(p, q ) = (1, - 3 )

Step-by-step explanation:

2p + 3q = - 7 → (1)

3p + 5q = - 12 → (2)

Multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate p

6p + 9q = - 21 → (3)

- 6p - 10q = 24 → (4)

Add (3) and (4) term by term to eliminate p

0 - q = 3

-q = 3 ( multiply both sides by - 1 )

q = - 3

Substitute q = - 3 into either of the 2 equations and solve for p

Substituting into (1)

2p + 3(- 3) = - 7

2p - 9 = - 7 ( add 9 to both sides )

2p = 2 ( divide both sides by 2 )

p = 1

Answer:

b = 37

Step-by-step explanation:

3x + 10 = b

(3 x 9) + 10 = 27

27 + 10 = 37

Answer:

b Is 37

Step-by-step explanation:

x Is 9

instead of x you write 9

3x mean 3×X

3×X+10= 3×9+10=27+10=37

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Answer:

Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar

[tex](x_1,y_1) = (-3,4),~~ (x_2,y_2) = (2,-1)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} =\dfrac{-1-4}{2+3} = \dfrac{-5}5 = -1[/tex]

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

Answer:

I can't interpret the data the way it is presented.  Are there two columns?  I'll assume "-x2" is really "-x^2."

I've attached a plot of the function.  Check to see which of your points fall on the line.

Step-by-step explanation:

y = -x^2 + 5

Answer:

Whats A?

Step-by-step explanation:

Answer:

253.44 calories

Step-by-step explanation:

2 miles = 10560 feet

10560/20 = 528

528 · 0.48 = 253.44

Answer:

5.3 seconds is needed for one signature.

Hence, for 96 signatures, it would take

[tex]96*5.3=508.8[/tex] seconds.

The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Lola needs to sign 96 invitations.

And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.

Since, No of invitation's =96

And, Time required to sign 1 invitation = 5.3seconds

So, Let the time required to sign 96 invitation = x

Hence, We get;

x = 5.3 x 96

  = 508.8 seconds

Thus, The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

Answer:

-2/5

Step-by-step explanation:

slope equation is as follows -

(y1-y2)/(x1-x2)

now we just put (7,1) and (2,3) into the formula

(1-3)/(7-2)

-2/5

Answer:

3,250g

Step-by-step explanation:

22kg = 22,000g - 18,750g = 3250g

Answer: 5) F:(1,-1)

6) W:(-3,-2)

Step-by-step explanation:

Answer:

-2 inches per hour

Step-by-step explanation:

Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).

( 3 - 9 ) / ( 8 - 5 )

= -6 / 3

= -2 inches per hour

Answer:

D

Step-by-step explanation:

p(t)=2t+5

p(10)=2(10)+5

p(10)=20+5

p(10)=25

please give me a brainliest since this took a lot of thinking

Answer:

16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Step-by-step explanation:

Use the binomial expansion theorem to find each term. ∑

∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k

Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4

Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4

Simplify each term.

= 16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Middle terms are x+1 and x+3

(X+1+x+3)/2= 22

2x+4 = 44

2x = 40

X = 20

Answer:

see below

Step-by-step explanation:

just reduce to 3 digits before the decimal place and count how many are behind the decimal for what power the 10 is, not including numbers that were already behind the decimal

a. 107.92*10^2

b. 376.932*10^0

c. 998.461*10^3

Answer:

When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.

Step-by-step explanation:

(a) 10792 ≈ 10800

(b) 376.932 ≈ 377

(c) 998461 ≈ 998000

Answer:

y = 5

Step-by-step explanation:

y = (1/4)x + 4

input (x) = 4

plug in 4 for x

y = (1/4)(4) + 4

y = 1 + 4

y = 5

Answer:

-9.89949493661

Step-by-step explanation:

Answer:

65.1mm

Step-by-step explanation:

(4*3+4*3+5.7*3/2)*2

(12+12+8.55)*2

32.55*2

65.1mm

Answer:

f(0) = 2, x = - 2, x = - 1

Step-by-step explanation:

f(0) means what is the value of y when x = 0

x = 0 is a point on the y- axis

Thus when x = 0 , y = 2 , that is

f(0) = 2

(b)

The roots are the values of x on the x- axis where the graph crosses

This occurs at x = - 2 and x = - 1 ← roots

Answer:

12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.

Answer:

False

Step-by-step explanation:

The unit rate should be 9

Answer:

i think false

Step-by-step explanation:

if im wrong forgive if am right brainliest pls:)

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

Learn more here: https://brainly.com/question/19914553

Answer:

43.2 is the correct answer happy