Rosa bought some notebooks that cost $2 each. She also bought a compass that cost $3. She spent a total of $25. How many notebooks did she buy.

Answer:

[tex]\boxed {c = -5}[/tex]

Step-by-step explanation:

Solve for the value of [tex]c[/tex]:

[tex]\frac{8}{3}c - 2 = \frac{2}{3}x - 12[/tex]

-Take [tex]\frac{2}{3}c[/tex] and subtract it from [tex]\frac{8}{3}c[/tex]:

[tex]\frac{8}{3}c - 2 - \frac{2}{3}c = \frac{2}{3}c - \frac{2}{3}c - 12[/tex]

[tex]2c - 2 = -12[/tex]

-Add [tex]2[/tex] to both sides of the equation:

[tex]2c - 2 + 2 = -12 + 2[/tex]

[tex]2c = -10[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2c}{2} = \frac{-10}{2c}[/tex]

[tex]\boxed {c = -5}[/tex]

So, the value of [tex]c[/tex] is [tex]-5[/tex].

Answer:

acute and obtuse angles .

Answer:

x^2 = 1 / x ^ -2

x^4 ÷ x^3 = x

(x^2)^2 = x^4

x^3 × x^3 × x^3 = x ^ 9

Step-by-step explanation:

By using law on indices the equivalent expression of x² = 1/x⁻²,x⁴ ÷ x³ = x,(x²)² = x⁴ and x³ × x³ × x³ = x⁹.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

As per the given expression,

x² now by the law of indices that aˣ=1/a⁻ˣ.

Therefore,x² = 1/x⁻²

x⁴ ÷ x³ = x(x³)/x³=x

Now,

(x²)² the law of indices that (a²)³=a²ˣ³=a⁶

Therefore,(x²)² = x⁴

Now,

x³ × x³ × x³ the law of indices that aˣ × aˣ × aˣ =a⁽ˣ⁺ˣ⁺ˣ⁾

Therefore,x³ × x³ × x³ = x⁹

Hence "By using law on indices the equivalent expression of x² = 1/x⁻²,x⁴ ÷ x³ = x,(x²)² = x⁴ and x³ × x³ × x³ = x⁹".

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Given :

Fresh Farm: $4.50 for 5 lbs

Fruit Garden: $1/5 for 1/3 lb

Mother Nature: $4 for 5 lbs

Country Market: $0.85 per pound

To Find :

Which store offers the lowest unit rate for cantaloupes, in dollars per pound.

Solution :

Dollar per pound of each store :

Fresh Farm : 4.50/5 = $0.9 per pound

Fruit Garden: (1/5)/(1/3) = $0.6 per pound

Mother Nature: 4/5 = $0.8 per pound

Country Market: $0.85 per pound

From above we can see that Fruit Garden offers lowest unit rate.

Hence, this is the required solution.

Answer:

6

Step-by-step explanation:

to get this awnser we know that she can read 2 chapter in 10 minutes

so if we double this it would be 4 chapters in 20 minutes

then 6 chapters in 30 minutes

we can also find this by dividing 30/10 =3

then times that by the ammount of chapters 2x3=6

Answer:

B)

Step-by-step explanation:

First, let's write down what we know based on the Vertical Angle Theorem and the info given by the question:

1. Vertical angle theorem claims that opposite angles are the same, therefore:

2. We know from the problem that:

3. Now for the proofing:

Since  x+y = u+w, let us try to cross off the variable u and see if we can get x equaling to w.

We know that y=u, so let us switch out y for another u, allowing the same variable to cross out

x+y = u+w --> x+u = u+w --> x=w

Ok now we know x=w, and recall that w=z. So x would also equal to z!

Let us try to proof z=t:

We know that x=t

But now we also know that x=z (from previous)

Therefore we can substitute the z in for x in x=t and voila z=t!

Try finding out if y=w. No matter how many equations you create, they are not the same. It would not make sense either if you use this equation: x+y = u+w. If w and x are the same then y cannot be anything except being equal to "u". We cannot prove that u is equal to anything else either.

Therefore the answer is B)

From the given equation we have x=z and t=z. Therefore, option B is the correct answer.

Given that, lines k, l, and m intersect at a point.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

From the given figure,

Using vertical angle theorem, we have

x°=t°

y°=u°

w°=z°

If x + y = u + w, then

x+u=u+z

⇒ x=z

If x + y = u + w, then

t+u=u + z

⇒ t=z

So, x=z and t=z

From the given equation we have x=z and t=z. Therefore, option B is the correct answer.

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Answer:

3/4

hope this helped :)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The average rate of change is just like how you would find the slope so that's what I'm going to do.

[tex]m=\frac{6-0}{-2--5}[/tex]

I will use this equation to find it...

[tex]m=\frac{6-0}{-2--5}=\frac{6}{3} =2[/tex]

So the rate of change is 2.

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

The equivalent expression of 7¹² × 7⁴ is  7¹⁶.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

We have to determine the equivalent expression for 7¹² × 7⁴

⇒ 7¹² × 7⁴

⇒ 7⁽¹²⁺⁴⁾

⇒ 7¹⁶

Therefore, the equivalent expression of 7¹² × 7⁴ is  7¹⁶.

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Answer:

See below.

Step-by-step explanation:

The circumstance is that the circle started out as a sphere. It was taking a walk down the street. A piano fell on it, squashed it, and it became a circle.

Answer:

x= -3

Step-by-step explanation:

You're Welcome :)

Answer:

x=-3

Step-by-step explanation:

x+23=20

x=20-23

x=-3

Answer:

D

Step-by-step explanation:

Answer:

idek I mean you did it to me so lol

Answer:

Substitution property

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes because it is the same price per each pound.

Answer:

yes it is

Step-by-step explanation:

Answer:

the value of y is -3

Step-by-step explanation:

x = -6

sub -6 to the equation

8(-6) - 5y = -33

-48 - 5y = -33

-5y = -33 + 48

-5y = 15 (divide both sides by negative 5)

y = -3

Answer:

(-3)

Step-by-step explanation:

(-48) - 5y = -33

(-48) - (-33) = (-15)

(-15) / 5 = (-3)

(-48) - 5(-3) = -33

Answer:

A coordinate system is a two-dimensional number line, for example, two perpendicular number lines or axes. The center of the coordinate system (where the lines intersect) is called the origin. The axes intersect when both x and y are zero. The coordinates of the origin are (0, 0).

Step-by-step explanation:

Answer: y= -3x+4

Step-by-step explanation:

Hope this helps

Answer: D

Cannot because (5,3) and (5,-9) have two 5's in the input. It is not a function.

Answer:

The greatest common factor of 27 and 39 is 3

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Find the factor of 27 and then find the factor of 39 then compare then if the have factor in common choose the biggest one

Answer:

The answer is 1 1/4

Step-by-step explanation:

solve by making a ratio!

(2 1/4 cups)/ (1 4/5 hrs)

to find how many cups he can drink in 1 hr, divide both the numerator and denominator by 1 4/5.

(5/4 cups)/ (1 hr)

the question asks for a mixed number. convert 5/4 to a mixed number.

5/4= 1 1/4

Answer:

<EFG=66

<GFH=86

Step-by-step explanation:

sol

here

<EFG=2n+16

<GFH=4n+14

we know that,

<GFH+<EFG=180°[linear pair]

or,2n+16+4n+14=180°

or,6n+30=180

or,6n=180-30

or,n=150÷6

n=25

now,

<EFG=2n+16

=2×25+16

=66

Again,

<GFH=4n+14

=4×25+14

=86

Answer:

greater

Step-by-step explanation: 45 and 40

Answer: Yes 45.03 is greater than 40.44

Step-by-step explanation: 45.03 - 40.44 = 4.59 since it isn't zero they aren't eqivilant.

Answer:

0/4

Step-by-step explanation:

m = slope

m = rise/run

m = 2 - 2/ -1 - 4= 0/4

(That' the best I can do looks wise.)

Answer:

William

Step-by-step explanation:

There are 8 Saturday and Sunday in a month. William travels only on Saturdays and Sundays and has flown 1,020 miles this month. He has travelled (1020/8) miles per day = 127.5 miles/day

There are 30-8 = 22 weekdays in a month. Jason travels every weekday and has flown 2,200 miles this month. It would mean that he travelled (2200/22) = 100 miles/day.

It is very clear that no of miles travelled per day by William is more than the no of miles travelled per day by Jason for this month.

Step-by-step explanation: