8th Grade Math Midterm

Answer:

D

Step-by-step explanation:

Answer:

The answer is D. Associative and Distributive Properties.

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

well, x = 5

Step-by-step explanation:

here,

EB Is parallel to DC , so

Angle AEB = Angle ADE

( because they are corresponding angle pair )

Angle ABE = Angle ACD

( because they are corresponding angle pair )

triangle ADC Is similar to triangle AEB

(By AA similarity criteria )

hence AE / ED = AB / BC ( by CPCT )

so 24/10 = 12/x

=》 24/12= 10/x

=》 x = 5

okay i hope u got it

Answer:

Alex earned $117

Step-by-step explanation:

You just have to divide 351 by 3

Hope this helps :)

Answer:

James is 37, Rob is 44, and Kate is 35

Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

3x + 5 = 116

3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

Answer:

Rob = 44

Kate = 35

James = 37

Step-by-step explanation:

Rob = 44     which is 7 years older than James

Kate = 35     which is 2 years younger than James

James = 37

Answer:

437.999 + 0.001 = 438

Step-by-step explanation:

Step-by-step explanation:

[tex](x-3)-(+24) = 0 \\ x - 3 - 24 = 0 \\ x - 27 = 0 \\ x = 27[/tex]

Answer: 27

Step-by-step explanation: ..

9514 1404 393

Answer:

  10

Step-by-step explanation:

Let L and T represent the initial amounts that Leo and Theo had. Let n represent the number of bills exchanged in the first exchange. Then we have ...

  L -20n +50n = T -50n +20n . . . . after the first exchange, each has the same

After the second exchange, amounts trade places:

  (L +30n) +6(50) = T

Substituting this into the first equation, we get ...

  L +30n = ((L +30n) +300) -30n

  30n = 300

  n = 10

Leo gave Theo ten $20 bills.

_____

Comment on the amounts

Theo started with $600 more than Leo, including exactly 16 $50 bills. Leo had at least 10 $20 bills, so he could make the initial exchange. Whatever initial amount Leo had in excess of that $200 was matched in Theo's initial amount, but Theo must have had that excess in $20 bills only. For example, Leo may have started with $300 as 10×$20 +2×$50, but Theo's initial $900 would need to be 5×$20 +16×$50.

Answer:

She will need 12 1/8 cups of brown rice and 16 1/8 cups of water.

Step-by-step explanation:

You will want to convert 1 1/2 cups into an improper fraction, as well as 2 cups.

1 1/2 = 3/2

2 = 2/1

Now that you have done that you will then have to find a common denominator. You will need to list the multiples for 8 and lowest common factor so you don't have to simplify at the end.

The multiples of 8: 1, 2, 4, and 8

As shown above 2 is a multiple of 8. Therefore you will need to multiply the denominator by 4. This is because 2 x 4 equals 8. So now the denominator is 8. You will now need to multiply the numerator by 4 because that is what you multiplied the bottom by. It will be 3 x 4, and will therefore equal 12. The final improper fraction will be 12/8. The numerator then becomes the answer because that is the amount of 1/8 cups that you will need.

You then repeat this with 2/1. However you will need to multiply the denominator by a different number because it is 1. Looking at the multiples of 8 above, you will multiply the 1 by 8, therefore giving you 8 as the denominator. You will then multiply the numerator by 8 as well. This will result in an answer of 16. You will then have a 16/8. You will need 16 1/8 cups of water.

Answer:

C

Step-by-step explanation:

Answer:

x/3

Step-by-step explanation:

"A number" is an unknown number so represent it with x

"A number divided by 3" is x divided by 3

Answer:

6

Step-by-step explanation:

Answer:

9(p-2)(p-4)

Step-by-step explanation:

Answer:

5 5/6+1 1/4+1 1/4, or 8 1/3 miles

Answer: it’s 5 5/6+1 1/4+1 1/4, or 8 1/3 miles

Step-by-step explanation:

Answer:

$71.74

Step-by-step explanation:

<3

The total cost for the boots after the sales tax of 5.12% will be $71.48.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Emily wants to buy new boots that cost $68. The sales tax rate in her city is 5.12%.

Let x be the total cost for the boots. Then the total cost for the boots will be given as,

x = (1 + 5.12%) × $68

x = (1 + 0.0512) × $68

x = 1.0512 × $68

x = $71.48

The total cost for the boots after the sales tax of 5.12% will be $71.48.

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Answer:

1345600 meters squared

Step-by-step explanation:

devide the perimeter (4640m) by 4 and you get 1160m for each side of the square now you multiply that by itself to get 1345600 meters squared.

Answer:

Step-by-step explanation:

Square

Solve for area

A≈1.35×106m²

P Perimeter

4640

m a d a d d a P a A

Using the formulas

A=a2

P=4a

Solving forA

A=1

16P2=1

16·46402=1.3456×106m²

Answer:

Graph and solutions attached

Step-by-step explanation:

Answer:

1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.

2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.

3: the answer is simply 0

4:  y-(1/5*x-10)=0  

STEP

1

:

           1

Simplify   —

           5

Equation at the end of step

1

:

        1          

 y -  ((— • x) -  10)  = 0  

        5          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         10     10 • 5

   10 =  ——  =  ——————

         1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (10 • 5)     x - 50

————————————  =  ——————

     5             5    

Equation at the end of step

2

:

      (x - 50)

 y -  ————————  = 0  

         5    

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

         y     y • 5

    y =  —  =  —————

         1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

y • 5 - ((x-50))     5y - x + 50

————————————————  =  ———————————

       5                  5      

Equation at the end of step

3

:

 5y - x + 50

 ———————————  = 0  

      5      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Hope this helps :)

Answer:

Methane emissions account for 7% of Florida’s

Greenhouse gas emissions .

Methane from Florida’s livestock is being used to generate clean

Electricity .

Step-by-step explanation:

You had it right!  Great job!

Answer:

green house emissions and electricity

Step-by-step explanation:

i just took it

Answer:

12. 7

13. 6

Step-by-step explanation:

Answer:   12. x =7           13. x =6

Step-by-step explanation:

Both angles in the triangle has to equal to each other because they are both equivalent.

Set both expressions equal to each other and solve for x.  

12.  5x =  35    Divide both sides by 5

x =  7  

13.     3x =   5x - 12      Subtract 5x from both sides

        -5x       -5x  

   -2x =  -12      Divide both sides by -2

 x = 6

Answer:

this equation cannot be solved by completing the square

Step-by-step explanation:

Answer: A I think

Step-by-step explanation: Taking the test rn

Answer:hope she/he replies

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2

[tex] = > \frac{7}{8} = 0.875 \\ [/tex]

This question is incomplete, the complete question is;

For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?

Answer: the value of k = 2

Step-by-step explanation:

Given that;

a > 12

b < 20

a < b

If b = 7k

Now if k = 1      {b = 7k = 7}

b would be equal to 7 but b has to be greater than 20

IT CANT BE

if k = 2        { b = 7k = 14}

b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,

a has to be less than than b ( 12 < 14 )

IT IS

if k = 3      {b = 7k = 21}  

b would be equal to 21, so b is greater than 20 and a is less than 21

IT CANT BE

Therefore the value of k = 2

Each bottle holds 1.75 liters of water.

To determine how much water each bottle holds, we can divide the total amount of water by the number of bottles.

Given that 200 bottles hold 350 liters of water, we divide 350 liters by 200 bottles:

350 liters / 200 bottles = 1.75 liters per bottle

Therefore, each bottle holds 1.75 liters of water.Therefore, each bottle holds 1.75 liters of water.

This means that if we were to fill each bottle to its maximum capacity, it would hold 1.75 liters of water.

It's important to note that this assumes each bottle has an equal capacity and that the water is evenly distributed among them.

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Answer:

f(4) = 9

Step-by-step explanation:

You just need to substitute 4 in for x.

f(4) = 5(4) - 11

f(4) = 20 - 11

f(4) = 9