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3 years ago

Factor 1/4 out of 1/4x -13/4

1 answer:

3 0

$\bf \frac{1}{4}(x-13)\qquad 
\begin{cases}
\frac{1}{4}\cdot x\implies &\frac{1}{4}x\\\\
\frac{1}{4}\cdot 13\implies &\frac{13}{4}
\end{cases}$

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Two angles that are complementary form a right angle

faltersainse [42]

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3 years ago

11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.

Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

$[tex](\frac{5}{6}) ^2$ = \frac{m}{108}[/tex]

⇒ $\frac{(5)^2}{(6)^2} = \frac{m}{108}$

or, $\frac{25}{36} = \frac{m}{108} \implies m = \frac{108 \times 25}{36} = 75$

⇒ m = 75

Hence, the area of the smaller triangle is 75.

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3 years ago

At the end of 10 basketball games, a teams mean score is 35 points per game. At the end of 11 games, their mean score has gone d

morpeh [17]

Their total points for the first 10 games were

(10) x (35) = 350 total .

Their total points after 11 games were

(11) x (33) = 363 total .

They must have scored (363 - 350) = 13 points in that 11th game.

I hate to say it, but these kids and their coach are in the wrong game.

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3 years ago

Adding 5 to a number and then doubling the result gives the same answer as multiplying the number by 5 and then adding 1. What i

chubhunter [2.5K]

32-54+4+ 7y=4

boom son

6 0

3 years ago

Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so

xeze [42]

Answer:

She can only make 5/6 of her recipe with the amount of milk that she has.

Step-by-step explanation:

Some data of this problem is missing, the data missing is:

Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.

Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:

$\frac{5}{8}$ ÷ $\frac{3}{4}$

When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:

$\frac{5}{8}$ ÷ $\frac{3}{4}=\frac{5}{8}$ × $\frac{4}{3} =\frac{20}{24}$

If we simplify this last expression we have:

$\frac{20}{24}=\frac{10}{12} =\frac{5}{6}$

Thus, she can only make 5/6 of her recipe with the amount of milk that she has.

<em>Note: In case the data missing is different, you can apply this same procedure with the fractions you have. </em>

6 0

3 years ago