All categories

3 years ago

WILL GIVE BRAINLIEST HURRY

Mathematics

1 answer:

Irina18 [472]3 years ago

3 0

Answer: C

Step-by-step explanation:

To get all the constant terms on one side and variable terms on another, all we have to do is to add or subtract them on both sides.

3x+2x=10+5

Now that the like terms are on one side, we can combine them.

5x=15

To get x alone, we divide both sides by 5.

x=3

Now, we notice that x=3 is not an answer choice, but the next option that is equivalent to x=3 is C.

For C, if you divide both sides by -5, you still get x=3.

-15=-5x

x=3

You might be interested in

What is the slope of the line that passes through (-4, 5) and (1, 3)?

Tasya [4]

M=-2/5 is the answer to this equation

7 0

3 years ago

Simplify the expression

Molodets [167]

Answer:

8x^8/3 y^4 - The first option

Step-by-step explanation:

The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.

This means that the expression is now:

8(x^2*4/3 y^3*4/3)

First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3

The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.

So now our expression is:

8(x^8/3 y^4)

Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:

8x^8/3 y^4 - The first option.

Hope this helped!

7 0

3 years ago

What is the value of x?<br> 4 cm<br> 32 cm<br> 40 cm

Luba_88 [7]

Answer:

x=5

Step-by-step explanation:

Since 32 is 8 times 4 cm, then 40/8=5.

7 0

3 years ago

Read 2 more answers

Rick charges $50 plus $40 an hour to fix cars. Let x be the number of hours that he works and y be the overall cost that he char

Serjik [45]

Y= 40x+ 50 (i need 20 characters to post this so ignore)

5 0

3 years ago

joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of

kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90. Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n + 2q = 76 as n + q = 38, or n = 38 - q. Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

570 - 15q + 35q = 890, or

570 + 20 q = 890. Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters. Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.

4 0

2 years ago