To solve the system of equations below, Elena begins by multiplying the first equation by 5.
2x + 3y = 14
7x + 5y = 16

PART A
Elena wants to eliminate a variable by adding the equations together. By what integer could
Elena multiply the second equation?

PART B
Solve the system of equations algebraically. You may use Elena's strategy or one of your own.
Show your work.

Answer:

a) EF = 4

Step-by-step explanation:

CB/DE = BA/EF

8/4 = 8/EF

8EF = 4 x 8

EF = 4

Answer:

343 is x because all you have to do is add them all together

Answer:

B

Step-by-step explanation:

1. Graph the given function (Desmos or T1-84 is a good choice)

2. Determine answer graphically

The slope is 12 and y- intercept is -5.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

y=12x−5

Now, from slope- intercept form

y = mx + b

where m is the slope and b is the y intercept.

Now, Comparing with given equation

m= 12 and b= -5

Hence, the slope is 12 and y- intercept is -5.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

Ratio = 4/7 : 1/8

        [tex]=\frac{\frac{4}{7}}{\frac{1}{8}}\\\\=\frac{4}{7}*\frac{8}{1}\\\\=\frac{32}{7}[/tex]

       = 32 : 7

[tex]\frac{\frac{1}{8}}{\frac{4}{7}}=\frac{1}{8}*\frac{7}{4}\\\\=\frac{7}{32}[/tex]

= 7 : 32

Ratio 4/7 over 1/8  is the multiplicative inverse of the ratio 1/8 over 4/7

Answer:

6x + 9

Step-by-step explanation:

Hello!

First, remove the parenthesis:

Combine like terms:

The final expression is 6x + 9.

Answer:

$16.20 30% of 50 is 15 so divide 4 in the mix

Answer:

8

Step-by-step explanation:

3x3x3 which equals 27 and them divide it by 3 which is 9, and subtract -1 from it, which then you have to add so its 10.

Answer:

27/4

Step-by-step explanation:

In this question,

[tex]x = 3 \\ y = - 1[/tex]

So if we substitute this in the equation given below

[tex] {x}^{3} \div 3 - y[/tex]

So if we substitute the variables,

[tex] {3}^{3} \div 3 - ( - 1) \\ [/tex]

[tex]27 \div 4[/tex]

[tex] \frac{27}{4} [/tex]

Answer:

x=66

Step-by-step explanation:

Answer: i wanna say -13 but it may be wrong so i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok I think it is 8 though

Answer:

C.The ranges of g(x) and f(x) are the same, and their domains are also the same.

Step-by-step explanation:

Got it right on edg

Answer: I believe it is 92

Step-by-step explanation:

Answer:

d) 3

Step-by-step explanation:

it's really 3.32, or 3.31662...

Answer:

230+160=390

390-260=130 muffins

Step-by-step explanation:

They made a total of 390 muffins before the end of the day. they sold 260 or the 390 muffins which leaves them with 130.

Answer:

1500

Step-by-step explanation:

18 = 1.2%

100% ÷ 1.2% = 83 and 1/3

1.2% × 83 and 1/3 = 100%

18 × 83 and 1/3 = 1500

Answer:

n = 24

Step-by-step explanation:

From the question,

The formula for the sum of the term in an AP is given as

Sₙ = n(a+L)/2.................. Equation 1

Where Sₙ = sum of the nth term, n = number of term, a = first term, L = last term.

make n the subject of the equation

n = 2Sₙ/(a+L)................. Equation 2

Given: Sₙ = 420, a = 4, L = 31

Substitute these values into equation 2

n = (2×420)/(4+31)

n = (840)/35

n = 24.

Hence, n = 24

Answer:

m<ACD = [tex]50^{o}[/tex]

Step-by-step explanation:

From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.

In the triangle ACD:

<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)

<ACD + 40 + 90 = 180

<ACD + 130 = 180

<ACD = 180 - 130

<ACD = [tex]50^{o}[/tex]

With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is [tex]50^{o}[/tex].

Answer:

They are both correct. When the fractions are added, the sum is 4/6. 4/6 is not in its simplest form yet. It can be simplified by dividing the numerator and the denominator by 2. When divided by 2, it yields 2/3

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]

[tex]\frac{3 + 1}{6}[/tex] = 4/6 = 2/3

Answer:

2g + 8

Step-by-step explanation:

2(g+4)

= 2g + 2(4)

= 2g + 8

Just expand it

Answer:

9 x 10 to the power of 8 meters in 3 seconds

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

It could be A but if we read the sentence correctly than we should understand about the number of stamps she bought in every month and how much her grandmother gave her.We should also read the options more than 10 times to understand it

Answer:

Yes, because, even though all angles match, one is larger than the other. So just having the same angles is no guarantee they are congruent.

Step-by-step explanation:

Answer:

Same Angles

because, even though all angles match, one is larger than the other. So just having the same angles is no guarantee they are congruent.

Step-by-step explanation:

Hope this Helps!

Answer:

5^3

Step-by-step explanation:

Answer:

7/20

Step-by-step explanation:

Let the total probability be 1;

Given

Probability of selecting a red M&M = 2/5,

Probability of selecting a green M&M = 1/4

Required

Probability of selecting a white M&M

Probability of selecting a white M&M = 1 - (2/5+1/4)

Probability of selecting a green M&M = 1 - (4(2)+5(1)/20)

Probability of selecting a green M&M = 1 - (8+5/20)

Probability of selecting a green M&M  = 1 - 13/20

Probability of selecting a green M&M  = 7/20

hence the Probability of selecting a green M&M is 7/20

Answer:

z = 43

Step-by-step explanation:

Answer:

z=43

Step-by-step explanation:

27 + 16 = 43

Hope this helps!

Answer:

20

Step-by-step explanation:

Given data

Number of cups= 5 cups

Number of portions= 1/4 portions

Hence the number of 1/4 portion can be gotten as

=5/1/4

=5*4/1

=20

Therefore, the number of 1/4 portions is 20

Answer:

128 servings

Step-by-step explanation:

16 cups in a gallon

1.25 cups /10 servings = .125 cups per serving

16 cups / .125 = 128 servings

Answer: 15 sq. units

Step-by-step explanation:

Given

[tex]f(x)=\ln (2)2^x[/tex]

The area bound by it from x=0 to x=4

Using integration

[tex]I=\int_{0}^{4}f(x)dx[/tex]

[tex]I=\int_{0}^{4}\ln(2)2^xdx[/tex]

[tex]I=\left [ \dfrac{\ln (2)2^x}{\ln (2)} \right ]_0^4[/tex]

[tex]I=\left [ 2^x \right ]_0^4[/tex]

[tex]I=2^4-2^0\\I=16-1=15\ sq.units[/tex]

Answer:

girl/boy use photomath if ur failing or just use these.

Step-by-step explanation:

11. 5x^2-6x-12

12. 2x(4y+5x)

13.3y^2+16xy

if you need the rest use photomath I am sure it will come to the same answers I got.

9514 1404 393

Answer:

  (c)  41 gallons

Step-by-step explanation:

Since each interval has a width of 1, you can simply add the numbers at the right end of intervals 1–5: 6 + 6 + 8 + 9 + 12 = 41

An estimated 41 gallons of water flowed in the first 5 minutes.