How many solutions does the system of equations have?
4x = -12y + 16 and x + 3y = 4
a.) one
b.) two
c.) infinitely many
d.) none

Answer:

150 mph

Step-by-step explanation:

Two point five miles times 60 minutes.

Answer:

241,395 mph

Step-by-step explanation:

There are about 1609.3 meters in one mile, so to convert miles to meters just multiply the number of meters by the miles you have. This will cancel out the unit of miles and leave you with meters per min.

[tex]\frac{2.5mi}{min} *\frac{1609.3m}{1mi}=\frac{4023.25mmi}{mimin}=\frac{4023.25m}{min}[/tex]

Then multiply that by 60 because there are 60 minutes in an hour

[tex]\frac{4023.25m}{min}*\frac{60min}{1h}=\frac{241,395mmin}{minh}=\frac{241,395m}{h}[/tex]

2.5 mi/min = 241,395 mph

Answer:

27.2 units (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

28

Step-by-step explanation:

[tex]\frac{40}{100}*\frac{70}{1}=\frac{2800}{100}=28[/tex]

Answer:

B. (f-g)(x) = x-7

i think

Answer:A

Step-by-step explanation:

(f-g)(x)=7x-3

Answer:

The measure of two supplementray angles is 180 degrees.

Step-by-step explanation:

Answer:

Two supplementary angles must add up to be 180°

Hope this helps!

Answer:

The will play the song at the same time by 4:12 pm

Step-by-step explanation:

here, we want to know the time both radio station will play the song after 3pm.

Mathematically to get this, we shall need to find the lcm of both 18 and 24. LCM stands for the lowest common multiple of both.

The lowest common multiple of both is 72.

This means that after 72 minutes, they will both play the song

So the time then would be;

72 + 3 = 4 : 12 pm

Answer:

Step-by-step explanation:

Take a triangle ABC, in which AB=AC.

Construct AP bisector of angle A meeting BC at P.

In ∆ABP and ∆ACP

AP=AP[common]

AB=AC[given]

angle BAP=angle CAP[by construction]

Therefore, ∆ABP congurent ∆ACP[S.A.S]

This implies, angle ABP=angleACP[C.P.C.T]

Answer:

Alternate Interior angles! ? = 50 :)

Step-by-step explanation:

They are both interior, and they are alternate, so the type of angle pair is an alternate interior angles pair!

Relationship: They are congruent to each other!

They are also both equal! :)

Answer:

parallel------> y = - 4x + 24

perp.---------> y = 1/4x - 3/2

Step-by-step explanation:

parallel: 4 = - 4(5)+ b

4 = -20 + b

+20 = +20 + b

24 = b

y = -4x + 24

perpendicular: 4 = 1/4(5) + b

4 = 5/4 + b

- 5/4 = - 5/4 + b

- 3/2 = b

y = 1/4x - 3/2

Answer:

10.5 : 12  : 13.5

Step-by-step explanation:

7:8:9

We need to get 8 to 12

12/8 = 3/2

We need to multiply each number by 3/2

7 * 3/2:8* 3/2  :9*3/2

21/2  : 12  : 27/2

10.5 : 12  : 13.5

Answer:

x = 20

Step-by-step explanation:

[tex](2x) \degree + x \degree+ 60 \degree + (360 - 120) \degree = 360 \degree \\ \\ (3x) \degree+ 60 \degree + 240 \degree = 360 \degree \\ \\ (3x) \degree+ 300 \degree = 360 \degree \\ \\ 3x = 360 \degree - 300 \degree\\ \\ (3x ) \degree= 60 \degree \\ \\ 3x = 60 \\ \\ x = \frac{60}{3} \\ \\ x = 20 [/tex]

Answer:

21 to 28

Step-by-step explanation:

15:20

Divide each side by 5

15/5 : 20/5

3:4

we want to find the one that is 3:4

5 to 10  Divide by 5   5/5 to 10/5   1 to 2

18:25    this does not simplify

21 to 28   divide by 7   21/7 to 28/7    3 to 4

24:30 divide by 6  24/6: 30/6  4:5

Answer:

21 to 28

Step-by-step explanation:

1. Divide each side by 5 (3:4)

2. Multiply each side by 7 (21 :28)

Answer:

1. is the picture 2. is the picture 3. look up demos calculator it will take you right to it

Step-by-step explanation:

please give me brainliest

Answer:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

Given that

1 pound of ground beef sells for $4.

To find the cost per pound:

We need to divide the cost with the number of pounds.

i.e.

[tex]\text{Cost per pound = }\dfrac{\text{Total Cost}}{\text{Number of pounds}}[/tex]

If 'Number of pounds' = 1, then cost per pound = Total Cost

Therefore, the above division expression can be used to find the Cost pound.

Putting the values given to find the 'Cost per pound':

[tex]\text{Cost per pound = }\dfrac{\$4}{1} = \$4[/tex]

Therefore, Rosa's belief is correct that, a division expression can be used.

The correct answer is:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Answer:

A

Step-by-step explanation:

I got a 100

Answer:

[tex]n^{10}-18n^9+135n^8-540n^7+1215n^6-1458n^5+729n^4[/tex] is [tex]\left(n-3\right)^6n^4[/tex] in expanded form

hope it helps

Answer: 2/5 is the closest one.

Step-by-step explanation:

1/3 (0.333,,,) is 0.05666... away from 0.39 .

2/5 (0.4) is 0.01 away .

3.8 (0.375) is 0.015 away .

9/25 (0.36) is 0.3 away .

2/5 is the closest one.

Answer:

0.007

Step-by-step explanation:

A negative notation starts with 0's from the left.

count 3 places before the 7, that is where my point is.

I am pretty sure of my explanation but the answer is correct.

Answer:

$590

Step-by-step explanation:

Answer:

[tex]\boxed{\tt a=9}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]-5a+7= -38[/tex]

We want to solve for a, so we must isolate a on one side of the equation.

7 is being added to -5a. The inverse of addition is subtraction. Subtract 7 from both sides of the equation.

[tex]-5a+7-7=-38-7[/tex]

[tex]-5a=-38-7[/tex]

[tex]-5a=-45[/tex]

a is being multiplied by -5. The inverse of multiplication is division. Divide both sides of the equation by -5.

[tex]\frac{-5a}{-5} =\frac{-45}{-5}[/tex]

[tex]a=\frac{-45}{-5}[/tex]

[tex]a=9[/tex]

Let's check our solution. Plug 9 in for a.

[tex]-5a+7=-38[/tex]

[tex]-5(9)+7=-38[/tex]

[tex]-45+7=-38[/tex]

[tex]-38=-38[/tex]

This checks out, so we know our solution a=9 is correct.

-5a +7 =-38

-5a +7 (-7) = -38 (-7)

-5a= -45

-5a (÷-5)= -45 (÷-5)

a= 9

Answer:

6.

Step-by-step explanation:

Answer:

The second number is four more than, two times the first number. The third ... Start by writing an expression for each of the three numbers. They are all formed from the first number, so let's call the first number x . Let the first number be x. The second number is 2x+4. The third number is 3x−5. We are told .

Step-by-step explanation:

Answer:

yes they look exactly the same except one is bigger

Step-by-step explanation:

Answer:

CPCTC

Step-by-step explanation:

Triangle BUT ≅ triangle ETU. Therefore, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can determine that ∠B ≅ ∠E.

Answer:

Step-by-step explanation:

First we need to draw segment UT

We are using similar triangle

Triangle BTU  is similar to triangle EUT

UT ≅ TU   reflexive  property

BT ≅ EU  given

BU ≅ ET  given

△UBT ≅ △TEU   by SSS  congruence postulate

<B ≅ <E corresponding parts of congruent triangles are congruent

Answer:

4.24

Step-by-step explanation:

Answer:

144.8 would be your answer, if I'm not mistaken.

Step-by-step explanation:

To find the MAD (Mean Absolute Deviation) you have to add up all the numbers and divide it by the amount of numbers you are being given:

[tex]36+42+41+32+30=181[/tex]

Then divide it by 5 because we added 5 numbers together:

[tex]\frac{181}{5} =36.2[/tex]

People actually do it like this:

[tex]\frac{36+42+41+32+30}{5} = 181[/tex]

(Which is the same thing, except it's faster, in my opinion)

Well, now that we have the sum (181) we have to subtract it from all those numbers we were given:

[tex]181-36=145, 181-42=139, 181-41=140, 181-32=149, 181-30=151.[/tex]

Now add up all those numbers together and divide it by 5 again:

[tex]\frac{145+139+140+149+151}{5} =144.8[/tex]

Answer:

Sorry, I'm new so I have to answer something, but I hope you find your answer

Given parameters:

Force  = 30N

Distance covered  = 3m

Unknown:

Work done = ?

Work done is an important physical quantity. It is formulated as the product of force and distance.

   Work done  = Force x Distance

The unit is in Joules.

Now go ahead and input the parameters;

                  Work done  = 30 x 3  = 90J

The work done in pushing the car is 90J

Answer:

g(x) = f(x) + 18

Step-by-step explanation:

Answer:

16

Step-by-step explanation: