Which first step for solving the given system using substitution results in an equation without fractions? Solve for x in the first equation. Solve for y in the first equation. Solve for x in the second equation. Solve for y in the second equation.

Answer:

[tex]36 + h = 45[/tex]

[tex]h = 9[/tex]

Step-by-step explanation:

Given

[tex]Total = 45[/tex]

[tex]Fall = 12[/tex]

[tex]Spring = 2 * Fall[/tex]

Required

Determine the equation to find the hours (h) left

The sum of the hours spent during the fall, spring and the hours left must be equal to the total hours.

In other word;

[tex]Fall + Spring + h = Total[/tex]

Substitute 2 * Fall for Spring

[tex]Fall + 2 * Fall + h =Total[/tex]

Substitute values for Fall and Total

[tex]12 + 2 * 12 + h = 45[/tex]

[tex]12 + 24 + h = 45[/tex]

[tex]36 + h = 45[/tex]

The above represents the equation,

Solving further for h

[tex]h = 45 - 36[/tex]

[tex]h = 9[/tex]

Hence, there are 9 hours left

Answer: (5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression .

5p^3-10p^2+3p-6

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2 +3)(p-2)

Hence, the factored form of  is

Answer:

(p-2)(5p^2+3)

Step-by-step explanation:

see the image

Answer:

Step-by-step explanation:

1cm every 4 seconds

15 cm per minute

Answer:

15

Step-by-step explanation:

1/15 of a minute per centimeter.

The speed is 15 centimeters per minute.

Answer:

200

Step-by-step explanation:

Answer: The answer is 25! :)

Give brainiest?

When x divided by 8= 1.5 divided by 2 then the value of x is 6.

To solve for x in the equation "x divided by 8 equals 1.5 divided by 2," we can cross-multiply.

The equation can be written as:

x/8 = 1.5/2

To eliminate the fractions, we can multiply both sides of the equation by 8:

8×(x/8) = 8 × (1.5/2)

On the left side, the 8 in the numerator and denominator cancels out, leaving us with just x:

x = 8 × (1.5/2)

Now, let's simplify the right side of the equation:

x = 8 × 0.75

Multiplying 8 by 0.75 gives us:

x = 6

Therefore, x is equal to 6 in the given equation.

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Answer:

100

Step-by-step explanation:

5(23-3)

23-3= 20

5 × 20= 100

Answer:

It is not equivalent.

Step-by-step explanation:

You have to expand the brackets :

(x-4)(x+3)

= x(x) + x(3) - 4(x) - 4(3)

= x² + 3x - 4x - 12

= x² - x - 12

Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.

Answer:

5,d

6,e

7,b

8,f

9,c

10,a

Answer:

384 16 times 24 is equal to 384

Step-by-step explanation:

You just have to multiply them. 16 times 24 is 384.

Answer:

A=6143.54( to the nearest dollar A=6144)

Step-by-step explanation:

A=Pe^(r(t))

P=3100 r=0.036 t=19

A=3100e^0.036(19)

A=3100e^(0.684)

There will be $6070 money in the account of Juan after 19 years.

It is the interest on a loan or deposit calculated based on both the initial principal and accumulated interest from previous periods. It is calculated as:

[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of periods elapsed

We have

principal, P= $3100

Rate, r = 3.6%=[tex]\frac{3.6}{100}[/tex]

time, t = 19years

number of times interest compounded per year, n=1

Formula Used:

[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the values in the above formula

[tex]Amount=3100(1+\frac{3.6}{100} )^{19}[/tex]

[tex]Amount=[/tex]$6070

Hence, there will be $6070 in account after 19 years.

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45

Step-by-step explanation:

45 +2=47

47-2=45

45×2=90

90÷2=45

Answer:

$24, $48, $72

Step-by-step explanation:

Given that :

Jake: cost per shirt = $6

Andy : cost per shirt = $8

Bith spent same amount of money on shirt purchase :

Amount of money they could have spent :

Obtain the factors common to both 6 and 8

Factors of :

6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

8 : 8, 16, 24, 32, 40, 48, 56, 64, 72

$24, $48, $72,....

W33D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply each set of coordinates by the scale factor [tex]\frac{1}{3}[/tex] , thus

(- 12, 3 ) →  [tex]\frac{1}{3}[/tex](- 12), [tex]\frac{1}{3}[/tex] (3) ) → (- 4, 1 )

(0, 6 ) → ( [tex]\frac{1}{3}[/tex] (0), [tex]\frac{1}{3}[/tex] (6) ) → (0, 2 )

(3, - 3 ) → ( [tex]\frac{1}{3}[/tex] (3), [tex]\frac{1}{3}[/tex] ( - 3 ) ) → (1, - 1 )

Answer:

A) a ratio system

B)The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.

Step-by-step explanation:

I hope this helps :)

-ㄚㄩ尺丨

Answer:

X is 1 and y is 5

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Let the amount of money to be paid per month be represented by x. The information given in the question can then be formed into an equation as:

$40 + 12x = $460

From the equation, the amount that'll be paid monthly will be:

$40 + 12x = $460

12x = $460 - $40

12x = $420

x = $420/12

x = $35

The amount paid monthly is $35

Answer:

14x14 is 196

Step-by-step explanation:

Use a calculator lol 14x14 is simple

The product of the 14 x 14 is 196.

Given that we need to calculate 14 x 14,

To calculate 14 multiplied by 14, you simply multiply the two numbers together.

Here's the step-by-step process:

Start by multiplying the ones digit of the first number (4) by the ones digit of the second number (also 4).

4 x 4 = 16

Write down the ones digit of the result (6) and carry over the tens digit (1).

Next, multiply the tens digit of the first number (1) by the ones digit of the second number (4).

1 x 4 = 4

Add the carried over tens digit (1) to the result.

4 + 1 = 5

Write down the tens digit of the result (5) and carry over any remaining digits (none in this case).

Finally, multiply the tens digit of the first number (1) by the tens digit of the second number (1).

1 x 1 = 1

Write down the tens digit of the result (1).

Putting it all together, we get:

14 x 14 = 196

Operation:

   14

×  14

------

  56   (4 × 14)

+140  (10 × 14)

------

 196

Therefore, 14 multiplied by 14 equals 196.

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Answer:

( 4 , -3)

Step-by-step explanation:

Rate me branliest please :)

Answer:

8 complete stacks

Step-by-step explanation:

Total magazine = 60

Total books = 42

Each stack will have 7 magazines and 4 books.

Each stack = 7 magazines + 4 books

How many complete stacks of 7 magazines and 4 books can Ms. Martin make?

Number of stack of 7 magazines possible = total magazines / magazines per stack

= 60/7

= 8 4/7

Complete stacks with 7 magazines = 8

Number of stack of 4 books possible = total books / books per stack

= 42/4

= 10 1/2

Complete stacks with 4 books = 10

If 7 magazines on each stacks can make 8 complete stacks

Then, 4 books on each stack can make 8 complete stacks

Note: after 8 stacks using 7 magazines each, magazines will not be available to complete other stacks

Answer:

- 473

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = - 5, thus

[tex]a_{97}[/tex] = 7 + (96 × - 5) = 7 - 480 = - 473

Answer:

8r + 15 = x

Step-by-step explanation:

So being that they can form 6 rows but have 3 left over we know that there are more than three chairs in each row. So for example:

6r + 3 = x

or (x = chairs, r = chairs in the row)

8r + 15 = x

Answer:

.65 hope this helps :))

Answer:

80 jumps per minute

Answer:

Y = 2x-4

Step-by-step explanation:

the anwser is, A

Step-by-step explanation:

-4-0

2-0

Step-by-step explanation:

hugs did ta don't think she knows what that was you baby girl so ti you but I'm not sure what you mean 4buy64g7gugugguvbb Jo is my first year of my first time doing your opinion how are ilocano or so I will get you a quote please let your opinion how much I love sorry na please ❣️❣️ you ❣️❣️❣️❤️ you

Answer:

44 yards

Step-by-step explanation:

Answer:

wouldn't you just do 14 times 8? If so it would be 112 yards (i might be wrong tho..)

Answer:

X= 5

Explanation (Steps):

Step 1: Simplify both sides of the equation.

−3.4(x−2)=9.8−4x

(−3.4)(x)+(−3.4)(−2)=9.8+−4x(Distribute)

−3.4x+6.8=9.8+−4x

−3.4x+6.8=−4x+9.8

Step 2: Add 4x to both sides.

−3.4x+6.8+4x=−4x+9.8+4x

0.6x+6.8=9.8

Step 3: Subtract 6.8 from both sides.

0.6x+6.8−6.8=9.8−6.8

0.6x=3

Step 4: Divide both sides by 0.6.

0.6x0.6=3/0.6

x=5

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

Starting with 16 gallons and ending with 1 gallon means that Kate has used 15 gallons of gas. Burning 3 gallons per hour means her travel time was ...

  (15 gal)/(3 gal/h) = 5 h

Kate was driving for 5 hours.