Maria is saving money to buy a bike. She has $42 and is going to save an additional $ 7 each week. The bike costs $133. In how many
weeks will she have enough money to buy the bike?

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

Answer:

The answer is 4 because are all separate variables (also  combines into one variable)

Step-by-step explanation:

Exact Answer:     x = 16/3

Approximate Answer:      x = 5.333

=======================================================

Work Shown:

base = 3x-1

height = x

area of triangle = (base*height)/2

40 = x*(3x-1)/2

40*2 = 3x^2 - x

80 = 3x^2 - x

0 = 3x^2 - x - 80

3x^2 - x - 80 = 0

Now apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]

A negative height doesn't make sense, so we ignore x = -5

The only solution is x = 16/3 which approximates to x = 5.333

Answer:

True

Step-by-step explanation:

Answer:

i think its true but u can also copy and paste some of it like this: Is the energy transferred from a firepit to my cold hands transferred through the process called radiation?

Step-by-step explanation:

Answer:

= 5^-8 . 5^-10

= 5^(-8 ) + (-10)

=5^-18

Answer:

5^-18

Step-by-step explanation:

[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

Answer:

1920

Step-by-step explanation:

Volume of larger rectangular prism: 10 * 8 * 14 = 1120

Volume of smaller rectangular prism: 10 * 10 * 8 = 800

Volume of whole prism: 1120 + 800 = 1920

Hence, your answer is 1920

Answer:

(- 7, - 5 )

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

w = x+y/z

Subtract x from each side

w-x = x+y/z -x

w-x = y/z

Multiply each side by z

(w-x) *z = y/z*z

(w-x) *z = y

You can distribute the z if desired

wz -xz = y

Answer:

y = z(w - x)

Step-by-step explanation:

w = x + y/z

Subtract x from both sides

w - x = y/z

Multiply both sides by z

z(w - x) = y

Flip

y = z(w - x)

Answer: 11. A and B

12. 520 cubic feet.

Step-by-step explanation: 11. The volume for a prism is base x height. Thus, it would be 2 x 3 x 3 or 6 x 3 to get a total of 18 cubic units.

12. The first compartment's volume is 5 x 7 x 8 or 280. The second compartment is 5 x 6 x 8 or 240. The total would be 280 + 240 or 520 cubic feet.

Answer:

11.B

12.520

Step-by-step explanation:

5.7.8=280

5.6.8=240

TOTAL=520

Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

Answer:

i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh

Step-by-step explanation:

answer:

=y^(-4+3)

=y^ (-1)

Answer:

-10, -4

Step-by-step explanation:

Answer:

A maximum of 4 days

Step-by-step explanation:

Inequality: 95 + 11.50x ≤ 150

Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.

95 + 11.50x ≤ 150

-95                   -95

11.50x ≤  55

/11.50       /11.50

X=4.78260869565

You would round down since he has a budget.

Answer:

you can use SSA to prove congruence. side DE and AB are congruent, and C and F are both right angles

Answer:

yes, that information is sufficient

Step-by-step explanation:

when y is given, you can prove that the triangles are congruent by RHS axiom. R- right angle H-hypotenuse S- side

Answer:

B) 63 ft.

Step-by-step explanation:

To find how long it takes for a rotation, we need to find the circumference.

To do so, we use the formula 2(pi)r

To find the radius, we divide the diameter in half :

d = 20

r = d/2

r = 20 / 2

r = 10

Then, we plug that into the formula :

2(pi)10

Insert that into your calculator :

2(pi)10 = 62.83

Simplify :

62.83 = 63 ft.

Answer:

Yes, they would get different values

Step-by-step explanation:

Given

[tex](4 * 35) + (36 * 8)[/tex]

Required

Would there be different value for the expression?

From the question, we understand that both students made no computational errors. This doesn't mean that the students cannot make other errors.

For instance, the expression can be solved (wrongly) in the following ways;

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 140 + 36 * 8 \to 176 * 8 = 1408[/tex]

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 4 * 71 * 8 \to = 2272[/tex]

While the correct solution is:

[tex](4 * 35) + (36 * 8) \to 140 + 288 =428[/tex]

Hence, it is possible for two students to get different values

Answer:

3/7

Step-by-step explanation:

There are 7 letters in ALABAMA. And there are 4 A's in ALABAMA. So if you're trying to not get an A then you would subtract 4 from 7. Which you would get 3/7 of the letters in ALABAMA are not A.

Answer:

c=-18 d=2

Step-by-step explanation:

[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]

The equation tells that when the two matrices are subtracted we get the resultant matrix.

Each element of the first matrix corresponds to each element of the second matrix

From above

6- (c+2)= 22

6- c-2= 22

4-c= 22

-c= 22-4

-c= 18

c= -18

And

15-( d-4)= 17

15- d+4= 17

19-d= 17

-d= 17-19

-d= -2

d= 2

Answer:

D

Step-by-step explanation:

c= -18

d= 2

Answer:

1.2m

Step-by-step explanation:

1 meter = 100 cm

120cm * (1m/100cm)  = 1.2m

Answer:

Option. A

Step-by-step explanation:

Have a great day!

Answer: A

Step-by-step explanation: there's 8 spaces on the spinner

Answer:

the first is  1/5 what are the other options

Step-by-step explanation:

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation:

Answer:

15 + 0.05x ≤ 50

Step-by-step explanation:

The cost needs to be less than or equal to 50. Thus, the equation would be

15 + 0.05x ≤ 50

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

Answer:

area of rectangle=432 m^2

area of triangle=750 in.^2

Step-by-step explanation: