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4 years ago

What's bigger 9/10 or 4/5

2 answers:

4 0

To be able to compare 2 fraciton we have to make common denominator and then we can just compare numerators.
$\frac{4}{5}= \frac{4*2}{5*2}= \frac{8}{10}$
Now we can compare numerator from the first (9) and from the second fraction (8)
9>8, so the bigger is 9/10

joja [24]4 years ago

3 0

9/10 because smaller pieces and has more of them

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Akira is a salon owner. Yesterday, she did 2 haircuts and colored the hair of 1 client, charging a total of $194. Today, she did

joja [24]

Answer:

$\boxed {\boxed {\sf Haircut: \$47 \ and \ Color: \$ 100}}$

Step-by-step explanation:

Let's set up a system of equations. (1 equation for yesterday and 1 for today).

Let h = haircut and c= color

$2h+1c= 194$ (Yesterday: 2 haircuts and 1 color for $194).

$2h+4c= 494$ (Today: 2 haircuts and 4 colors for $494).

Notice that both equations have a 2h. If we subtract the two equations, the 2h will cancel and leave us with one variable, c.

$\ \ (2h+1c=194) \\- (2h+4c=494)$

$\ \ 1c=194 \\- (4c=494)$

$-3c= -300$

Since we are solving for c, we must isolate the variable. It is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

$-3c/-3=-300/-3 \\c= -300/-3 \\c=100$

Now we have to solve for h. Plug 100 in for c in the first equation.

$2h+1(100)= 194 \\2h+100=194$

100 is being added, so we must subtract 100 from both sides.

$2h+100=194-100 \\2h=94$

h is being multiplied by 2, so we divide both sides by 2.

$2h/2=94 \\h=47$

A haircut costs $47 and a color costs $100.

6 0

3 years ago

An escalator lifts people to the second floor of a building, 26 ft above the first floor. The escalator rises at a 30° angle. To

Luden [163]

The distance traveled to the top of the escalator to the bottom is 52 ft

Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator

Firstly, we need a diagrammatic representation to understand this

We can form a right-angled triangle with the information given in the question.

The diagram is shown as below;

From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top

Let us call this distance d

We can now use the appropriate trigonometric ratio

The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse

Mathematically;

$\begin{gathered} \sin \text{ 30 = }\frac{26}{d} \\ \\ d\text{ = }\frac{26}{\sin \text{ 30}} \\ \\ d\text{ = }\frac{26}{0.5} \\ \\ d\text{ = 52 ft} \end{gathered}$

7 0

1 year ago

What is the incenter?

Juli2301 [7.4K]

Answer:

C ( i think)

Step-by-step explanation:

3 0

3 years ago

In a recipe for cookies, the ratio of flour to sugar is 7:2. If the amount

emmasim [6.3K]

It would still be 7:2 because when tripled, you triple both numbers, so you get 21: 6, which is the same thing as 7:2, but you just use more. And for ratios, they usually want them to be in simplest form, so it is d) 7:2. The ratio does not change when you triple both sides.

6 0

3 years ago

Solve -1.5x=9 '''''''''''''''''''''''''''''''

azamat

Answer:

x = -6

Step-by-step explanation:

-1.5x = 9 Divide the -1.5 on both sides

x = -6

Plug in the answer to make sure it works.

-1.5(6) = 9

9 = 9

3 0

3 years ago