3. Eve wants to purchase a game console that costs $165. So far, she has saved $52 and plans to
save an additional $30 per week.

9514 1404 393

Answer:

  m = 3

Step-by-step explanation:

Notice what has been done to the variable. It has been multiplied by 3, then 1 is added to the product.

We solve an equation like this by undoing those operations, in the reverse order. First, we undo the addition of +1 by adding -1 (the opposite of +1) to both sides of the equation.

  3m + 1 - 1 = 10 - 1

  3m = 9 . . . . . . . . . simplify

__

Now, we undo the multiplication by 3 by multiplying by the "multiplicative inverse" or reciprocal, 1/3. This is the same as dividing by 3.

  (1/3)(3m) = (1/3)(9)

As before, we do this to both sides of the equation.

  m = 3 . . . . . . . . . simplify

The solution is m = 3.

_____

The rule for equations is that you must do the same operation to both sides of the equation in order for it to remain valid. (The same is true for inequalities, with a special rule for multiplication or division by a negative number. Doing that reverses the comparison symbol: < ⇔ > or ≤ ⇔ ≥.)

Answer:

part one: 4x^(3)-6x^(2)+13x-62

part two: x^(3)-8x^(2)+17x-52

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3*(-4) + 4 = 2/3*(-4)

8/3 = 8/3

Answer:

the slope of the line is 0

the y-int is -5

there is no x int since the is no slope

sorry about the last one, i forgot what the zero is

Answer:

3

Step-by-step explanation:

27=3^3

=3*3*3

27=27

i think it is clear &i hope it helps you

Answer:

The answer is B.

Reasoning:

A. 5 + (-17) = -12✔

B. -17 - 5 = -22 ✖

C. -17 + 5 = -12 ✔

D. -12 ✔

Answer:

B: -17+5

Step- by- step explanation

Answer:

Your friend beat you by 2126 points.

Explanation:

5500 - 3374 = 2126

Answer:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2+9[/tex]

[tex](x-4\mathbf{i})(x+4\mathbf{i})=x^2+16[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=x^2+64[/tex]

Step-by-step explanation:

Complex Numbers

The complex numbers are known by having an 'imaginary' part along with the real part. They can be expressed like a + bi, where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

Or, equivalently:

[tex]\mathbf{i}^2=-1[/tex]

Let's find the result of the following products. On each one of them, there is a sum of a binomial multiplied by the subtraction of a binomial with the very same terms. It leads to a well-known polynomial identity:

[tex](a+b)(a-b)=a^2-b^2[/tex]

1. [tex](x+3\mathbf{i})(x-3\mathbf{i})[/tex]

Applying the above-mentioned identity:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=(x^2-(3\mathbf{i})^2)[/tex]

[tex]=x^2-9\mathbf{i}^2[/tex]

Since [tex]\mathbf{i}^2=-1[/tex]

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2-9(-1)[/tex]

[tex]=x^2+9[/tex]

2. [tex](x-4\mathbf{i})(x+4\mathbf{i})[/tex]

Proceed in the same way as before:

[tex](x-4\mathbf{i})(x+4\mathbf{i})=(x^2-16\mathbf{i}^2)[/tex]

[tex]=(x^2-16(-1))[/tex]

[tex]=x^2+16[/tex]

3. [tex](x+8\mathbf{i})(x-8\mathbf{i})[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=(x^2-64\mathbf{i}^2)[/tex]

[tex]=(x^2-64(-1))[/tex]

[tex]=x^2+64[/tex]

Answer:

y=-2x+5

Step-by-step explanation:

Answer: y= -2x - 5  

Step-by-step explanation:

2x + y = - 5  To convert it into slope-intercept form subtract 2x from both sides

-2x          -2x

y= -2x - 5

The equation -42 - 7 + 10x = -7 + 6x has one solution x = 10.5.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

-42 - 7 + 10x = -7 + 6x

Combine like terms in the equation,

-49 + 10x = -7 + 6x

Add 49 to both sides,

10x = 42 + 6x

Subtract 6x from both sides,

4x = 42

Divided both sides by 4 into the equation, and we get

x = 10.5

Thus, the equation has one solution x = 10.5.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

Answer:

25/7, 1.87, 3.25, and 22/7

Step-by-step explanation:

16 < 15x - 12

__________

+12. +12

__________

28 < 15x

__________

÷15 ÷15

__________

28/15 < x

__________

x > 28/15

__________

this is true for any number greater than 1 and 13/15 = 1.8666......

Answer:  y = 23        x = 28

Step-by-step explanation:

First find the value of y.

The angle (5y -4)  and 3y forms a straight line which means that if you add them together they will equal 180 degrees.  Add them and set them equation to 180 to solve for y.

5y-4 + 3y = 180  

8y -4 = 180

    +4    +4

  8y = 184

 y= 23  

Since y is equal to 23, then input y into the expression  (5y-4) to find the main angle value and then add it with the angle (2x+13) to equal to 180 degrees because they also form a straight angle.

5(23) - 4

115 - 4 = 111

111 + (2x + 13) = 180  

124 + 2x = 180  

-124           -124

 2x = 56

x = 28  

x is equal to 28 degrees.  

Check.

111 + 2(28) + 13 = 180

 111 + 56 + 13 = 180

     180 = 180

Answer:

144 minutes

Step-by-step explanation:

The equation will be 14 + 0.25x = 50

50 -  14 = 36

0.25x = 36

36/0.25 = 144 minutes

Answer:

10- 14 -4

Step-by-step explanation:

so practically what I was saying is 6 +4equals 10 and then 14minus10 equals 4

Answer:

x-6x=14-4

5x=10

X=10/5

X=2

144

Hi there !

64% of 225 =

= 64%×225

= 64/100 × 225

= 64×225/100

= 14400/100

= 144

Good luck !

7 - 14m = 2m - 5

  +14m   +14m        (add 14 on both sides)

_____________

7 = 16m - 5

+5         + 5            (add 5 on both sides)

_____________

12 =  16m

__    ___             (divide 16 on both sides)

16      16

m = 0.75

Answer:

m = 3/4

Step-by-step explanation:

7 - 14m = 2m - 5 (given)

7 + 5 - 14m = 2m - 5 + 5 (addition poe)

*add 5 to both sides to cancel -5 out*

12 - 14m = 2m

12 - 14m + 14m = 2m + 14m (addition poe)

*add 14m to both sides to cancel -14m* out*

12 = 16m

12/16 = 16m/16 (division poe)

*divide by 16 on both sides to cancel out the coefficient*

12/16 = m

m = 12/16 (symmetric property)

*mirror to the other side*

m = 12÷4/16÷4 (division poe)

*divide the numerator and denominator by its greatest common factor*

m = 3/4

Answer:

179

Step-by-step explanation:

40+156=196

375-196= $179.00

if I'm not wrong

Answer: $59 increase

Step-by-step explanation: since we don't know how much she had in her bank account prior to making 4 withdrawals it's hard to find the answer so a like and rating would be appreciated. We know she withdrew $40 dollars 4 times which would mean she withdrew $160 dollars, then she used her card for a $156 dollar purchase, so if we add $160 and $156 dollars we get $316 dollars spent. Then she deposited a check of $375 dollars into the bank account so we have to subtract $316 from $375 dollars to get $59 dollars, now since we subtracted and we are left with an extra amount rather than the money wasted we started with it means it's an increase as we are left with $59 and not with a price lower than $316.

Answer:

25x37=925

Step-by-step explanation:

Answer: More

Step-by-step explanation: 436x252 = 109872.

Answer:

more than 1000,000

Step-by-step example

well 436 times 252 is 109872 and 109872 minus 1000,000 is 890128 miles therefor a pilot flies more than 1000,000 miles from Boston to Philadelphia

Answer:

40

Step-by-step explanation:

Answer:

46p

Step-by-step explanation:

42*1.09=45.78

45.78 rounded up is 46p

Answer:

It would be $7.50.

Step-by-step explanation: 2 pounds of bananas is $3, so we know that 4 pounds of bananas would be $6. Now, 1 pound of bananas would be $1.50! Because 1 pound is half of 2 pounds. Knowing this, one pound of bananas would be $1.50, beucuase its half.

Answer:

yes and no,depends.

parrallel cant make any angles exept 180-straight line angle.

Answer:

In the second step, 5 should have been distributed to both the p and the 3. To correct this, step two should say 5p+15>4p+2

Answer:

rational are repeating decimals. So choose the ones without the line on the top

Step-by-step explanation:

Answer:

we I would need to see the triangles, but yes. Both triangles can have that same the same angles or the same side lengths.