Solve for x if the horizontal lines below are parallel.
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Answer:

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

solving the system by the elimination method

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]

[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]

subtracting the equations

[tex]4x+6y=8[/tex]

[tex]-[/tex]

[tex]\underline{4x+6y=-12}[/tex]

[tex]0=20[/tex]

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Answer: c

Step-by-step explanation:

Answer:

B you add 4. a negative plus a positive is a negative. -15 +4 is -11

Answer:

No

Step-by-step explanation:

Answer:

She would get 0.25 cents

Step-by-step explanation:

what you would do is add 24.97, 17.23 and 7.55 together and get a total of 49.75 and subtract that from 50 and get 0.25

please mark me brainliest

Answer:0.25

Step-by-step explanation:

Answer:

0.32

Step-by-step explanation:

Because I know

Answer:

33 cents.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

We have:

[tex]\dfrac{20}{80} = \dfrac{\%} {100}[/tex]

Solving for %:

[tex]\% = \dfrac{20\cdot 100}{80} = 25\%[/tex]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

[tex]1\frac{1}{4}[/tex] cups of milk make 10 servings

[tex]1\frac{1}{4}[/tex] can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

[tex]\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128[/tex]

Hence,

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

N~(62, 12^2)

Use Z-score formula (can find in internet)

[tex] z = \frac{74 - 62}{12} \\ z = \frac{12}{12} \\ z = 1[/tex]

Answer:

We conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Step-by-step explanation:

Given

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

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

Using the slope-intercept form to find the y-intercept 'b'

substituting m = -5/4 and the point (-4, 7)

[tex]y = mx+b[/tex]

[tex]7=\:\frac{-5}{4}\left(-4\right)+b[/tex]

[tex]-\left(-5\right)+b=7[/tex]

[tex]5+b=7[/tex]

subtract 5 from both sides

[tex]5+b-5=7-5[/tex]

[tex]b=2[/tex]

now substituting b = 2 and m = -5/4 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Therefore, we conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Answer:

hard!

Step-by-step explanation:

Answer:

4/3 or 1 and 1/3 or 1.33333 repeating

Step-by-step explanation:

you have 4 granola bars and 3 friends and you want to divide them among 3 friends

4/3

Answer:

1.3recuring or 3/4

Step-by-step explanation:

hope it helps

Answer:

112

Step-by-step explanation:

A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches

Answer:

112 inches

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

To find the nature of the roots we use the Discriminant formula which is:

[tex]D=b^2-4ac[/tex]

and given the equation and compare with the standard quadratic equation

[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]

Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula

[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]

Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the  the  Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's  value is a whole number then it is rational and so 161 has a square roots in points which is

[tex]D=\sqrt{161} \\D=12.6885[/tex]

So our answer is real , irrational and unequal which is Option C

Answer:

40 + -40 = 0

Step-by-step explanation:

hope this helps!

Answer:

40 + -40 =0 (your answer)

2538494 + -2538494 = 0 (example)

4 + -4 = 0 (example)

-18 + 18 = 0 (example)

-82 + 82= 0 (example)

just as long as the first number and the second number are the same, and one is negative and the other is positive, added together the two numbers will equal zero.

Answer:

150 and -150

Step-by-step explanation:

For question number 2...

You started off with an energy level of 250 and something was added to make it 400.

To figure out what this "something" was, you simply subtract the numbers.

400 - 250 = 150

For question number 3...

You start off with 325 and end with 175. Here, the outcome is smaller or less than what you started with. So, you know that you took away a certain amount of energy. To figure that out, you again subtract.

325 - 175 = 150

To make the equation make sense, you would subtract 150.

So the answer would -150.

Answer:

170

Step-by-step explanation:

3.4*10^5= 34*10000=340000

But, 2* 10^3= 2*1000= 2000

finaly you do 340000/2000=170

So the final answer is 170.

Answer:

170

Step-by-step explanation:

Hope this helped have an amazing day!

Note: It seems, you missed to add the correct option. But, I am solving the question to clear your concept anways.

Answer:

The coordinates of H are:

Step-by-step explanation:

Given the points

Since Point G and point H are the same distance from point F, therefore the point F is the mid-point of G and H

using the mid-point formula

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Since the point F is the mid-point of G and H, so

m = (3, 2)

as

Thus, substituting m = (3, 2), (x₁, y₁) = (4, 4) to determine coordinates of the point H (x₂, y₂)

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(3,\:2\right)\:=\:\left(\frac{x_2+4}{2},\:\:\frac{y_2+4}{2}\right)[/tex]

so

[tex]\:\:3\:=\:\frac{x_2+4}{2}[/tex]

[tex]x_2+4=6[/tex]

subtract 4 from both sides

[tex]x_2+4-4=6-4[/tex]

[tex]x_2=2[/tex]

and

[tex]2=\:\frac{y_2+4}{2}[/tex]

[tex]\:y_2+4\:=\:4[/tex]

subtract 4 from both sides

[tex]y_2=0[/tex]

Thus, the coordinates of H are:

Note: It seems, you missed to add the correct option.

Answer:

Step-by-step explanation:

steps are stated below

step 1

(x-5^2)-7=93  equation

step 2

x-5^2-7=93  remove brackets

step 3

x-5^2-7=93  simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93  combine the tems

x+(-32)=93

step 5

x+(-32)=93  change the symbols

x-32=93

step 6

x-32(+32)=93(+32)  add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer:

x=15, x=-5

Step-by-step explanation:

Solve:

[tex](x-5)^2-7=93[/tex]

Adding 7:

[tex](x-5)^2=93+7[/tex]

[tex](x-5)^2=100[/tex]

Taking square roots:

[tex]x-5=\sqrt{100}[/tex]

Recall a square root has two possible answers:

[tex]x-5=\pm 10[/tex]

Adding 5:

[tex]x=5\pm 10[/tex]

There are two answers:

[tex]x=5+ 10=15[/tex]

[tex]x=5- 10=-5[/tex]

Answers: x=15, x=-5

Answer:

23358.1

Step-by-step explanation:

Answer:

216.2

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]

Answer:

First question

The correct option is  A  

Second question

  The  correct option is  E

Step-by-step explanation:

From the question we are told that

    The  population  mean is  [tex]\mu = 50 \ mpg \ (miles \ per \ gallon )[/tex]

     The  sample size is  n = 30  

      The population standard deviation is  [tex]\sigma = 2.3 \ miles[/tex]  

      The sample mean is  [tex]\= x = 49 \ mpg[/tex]

        The  level of significance is  [tex]\alpha = 0.05[/tex]

The  null hypothesis is [tex]H_o : \mu = 50 \ mpg[/tex]  

The  alternative  hypothesis is  [tex]H_a : \mu < 50 \ mpg[/tex]

Generally the test statistics is mathematically represented as

       [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>     [tex]t = \frac{ 49 - 50 }{ \frac{2.3}{ \sqrt{30 } } }[/tex]

=>     [tex]t = -2.38[/tex]

Generally the degree of freedom is mathematically represented as

       [tex]df = n - 1[/tex]

       [tex]df = 30 - 1[/tex]

       [tex]df = 29[/tex]

Generally from the student t distribution table the probability corresponding to  -2.38 to  the left  at a degree of freedom of [tex]df = 29[/tex] is  

           [tex]p -value = P( t < -2.38 ) = 0.0174[/tex]

From the value obtained we see that

           [tex]p-value < \alpha[/tex]  hence  

The decision rule  

Reject  the null hypothesis  

The conclusion is  

There evidence to reject the manufacturer's claim because the p-value of  0.0174 is less than the significance level E

Answer:

[tex] \frac{6}{19 } [/tex]

Step-by-step explanation:

6 + 5 + 7 + 1 + 0 = 19

Answer:

❤️❤️❤️❤️

Answer:

i believe its 163.475 pounds of candy

Step-by-step explanation:

i multiplied 25.15 by 6.5

Answer:

163.475 pounds of candy.

Step-by-step explanation:

If the machine can make 25.15 pounds of candy in 1 hour, then you just multiply 25.15 pounds by 6.5 hours to get the answer.

Answer:

5^20 • 7^40

Step-by-step explanation:

each exponent needs to multiply each 10.

Answer:

D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Step-by-step explanation:

Original Equation=  [tex](5^2 \cdot 7^4)^{10}[/tex]  

Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]

= [tex](5^2)^{10}[/tex]  x   [tex](7^4)^{10}[/tex]

Distribute them

= [tex]5^{20}[/tex]  x  [tex](7^4)^{10}[/tex]

= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Hope this helps!

Answer: 120

B

Step-by-step explanation: got it right on edge

Answer:

B.) 120

Step-by-step explanation:

The given rule of the dilation indicates that the scale factor is 3 which is

larger than one, therefore, given an enlarged image.

The correct options are;

Please find attached the possible diagram of rectangle LMNP obtained from a similar question posted online;

L'M' = 12

LM = 4

MN = 6

The rule of the dilation of rectangle LMNP = [tex]D_{p, \, 3}[/tex]

L'M' = 3 × LM

Therefore;

The image following the dilation of the preimage LMNP, which is rectangle L'M'N'P' is larger than LMNP

Therefore;

The scale factor is the number with which the preimage dimension is multiplied to get the image, which is 3

M'N' = 3 × MN

Therefore;

Learn more about scale factor of a dilation here:

https://brainly.com/question/840682

Answer:

a. The length of line segment M'N' is 18 units.

d. The dilation is an enlargement.

f. The scale factor is 3.

Step-by-step explanation:

got it right on ed23