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3 years ago

-6/15 * 4/7 - (-7)/20 * 4/7 + 3/4 PLS INCLUDE STEPS

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

101/140

Step-by-step explanation:

<u>Solving in steps:</u>

-6/15 * 4/7 - (-7)/20 * 4/7 + 3/4 =
- 2/5 * 4/7 + 7/20 * 4/7 + 3/4 =
- 8/35 + 7/35 + 3/4 =
-1/35 + 3*35/4*35 =
-4/140 + 105/140 =
101/140

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out of 35 librarians surveyed 12 librarians chose fantasy as their favorite 9 chose nonfiction and 14 chose fiction qhat percent

Setler [38]

14/35 = 0.4
0.4 X 100= 40%

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3 years ago

Here is a flower made up of yellow hexagons, red trapezoids, and green triangles.

Law Incorporation [45]

Answer: Part a) You could build 5 copies of the flower pattern

Part b) You would have 40 red trapezoids left over

Step-by-step explanation:

The complete question in the attached figure

Part a)

Let

x -----> the number of yellow hexagons

y ----> the number of red trapezoids

z ----> the number of green triangles

we know that

The flower pattern has the following ratios

\frac{x}{y}=\frac{6}{2} ----\frac{x}{y}=3 ---- \text {equation A}

\frac{x}{z}=\frac{6}{9} --\frac{x}{z}=\frac{2}{3} -- \text {equation B}

\frac{y}{z}=\frac{2}{9} ------ \text {equation C}

Find out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles

1) For x=30

Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)

30/6=5\ copies

Verify the quantity of y needed and the quantity of z needed

Find the value of y

\frac{30}{y}=3 ----y=30/3=10\\

10 < 50 ----> is ok

Find the value of z

\frac{30}{z}=\frac{2}{3} --- z=30*3/2=45

45<60 --->is ok

2) For y=50

Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)

50/2=25\ copies

Verify the quantity of x needed and the quantity of z needed

Find the value of x

\frac{x}{50}=3 ----x=50*3=150

150 > 30 ----> is not ok

3) For z=60

Divide 60 by 9 (remember that in one pattern there are 9 green triangles)

60/9=6.7 copies

Round down

6 copies -----> 6(9)=54 green triangles

Verify the quantity of x needed and the quantity of y needed

Find the value of x

\frac{x}{54}=\frac{2}{3} --- z=54*2/3=36

36> 30 --->is not ok

therefore

You could build 5 copies of the flower pattern

Part b)

we know that

x:y:z=6:2:9

If you build 5 copies

1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over

2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over

3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left over

therefore

You would have 40 red trapezoids left over

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4 years ago

If a motor bike travels 300km in 5hrs what is the average distance travelled in 1hr

baherus [9]

Answer:

60km per hour.

Step-by-step explanation:

Divide 300km by 5hrs to find the distance traveled in an hour.

$\frac{300}{5}$

$60$

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3 years ago

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-3 + 5 4/5 - - 2 1/2 / -2

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Answer:

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Step-by-step explanation:

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3 years ago

Please find the general limit of the following function:

valentinak56 [21]

Answer:

The general limit exists at <em>x</em> = 9 and is equal to 300.

Step-by-step explanation:

We want to find the general limit of the function:

$\displaystyle \lim_{x \to 9}(x^2+2^7+(9.1\times 10))$

By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.

So, let's find each one-sided limit: the left-hand side and the right-hand side.

The left-hand limit is given by:

<h3> $\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))$ </h3>

Since the given function is a polynomial, we can use direct substitution. This yields:

$=(9)^2+2^7+(9.1\times 10)$

Evaluate:

$300$

Therefore:

$\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))=300$

The right-hand limit is given by:

$\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))$

Again, since the function is a polynomial, we can use direct substitution. This yields:

$=(9)^2+2^7+(9.1\times 10)$

Evaluate:

$=300$

Therefore:

$\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300$

Thus, we can see that:

$\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1\times 10))=\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300$

Since the two-sided limits exist and are equivalent, the general limit of the function does exist at <em>x</em> = 9 and is equal to 300.

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3 years ago

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