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3 years ago

Compare the ratios: 2/5 and 3/4

Mathematics

2 answers:

iogann1982 [59]3 years ago

6 0

Hey, Divabetty0725!

8 15(Cross multiplication)

2 3

5 4

3/4 is bigger than 2/5.

Darya [45]3 years ago

3 0

First, make your ratios into fractions.
You have 2/5 = 3/4.
Now, in your calculator, divide 2 by 5. You get 0.4
Then in your calculator, divide 3 by 4. You get 0.75
0.4 does not equal 0.75
Therefore, there is no solution/they are not equivalent.

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Which number is equivalent to 3 exponent 4 over 3 exponent 2

choli [55]

Answer:

9 or B

Step-by-step explanation:

3^4=81

3^2=9

81/9=9

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Answer:

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Step-by-step explanation:

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Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr

Nitella [24]

Answer:

She stayed awake for 295 minutes today

Explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank $\frac{17}{42}$ of a cup more than yesterday

This means that:

Number of cups she drank today = $1+\frac{17}{42}=1\frac{17}{42}cups$

Now, we know that she drinks $\frac{2}{7}$ of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink $1\frac{17}{42}$ cups

1 hour ...........................> $\frac{2}{7}$ of a cup

?? hours ......................> $1\frac{17}{42}$ cups

Time taken = $\frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours$

This means that she was awake for $4\frac{11}{12}$ hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for $4\frac{11}{12} * 60 = 295$ minutes

Hope this helps :)

8 0

3 years ago

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What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

6 0

3 years ago

Please help me i’m stuck

Studentka2010 [4]

Following the principle of supplements angles, the angle next to the 101 is 79°. 79+38+c(call the third angle c) = 180
c = 180-117 =63° x is supplemental to c so 180 = x +c
180=x + 63
x =117

5 0

1 year ago