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3 years ago

Solves 7/4 =3/x Round to the nearest tenth.

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

Answer:

x = 12/7 or 1.7

Step-by-step explanation:

first, cross multiply to get 7x = 12. then, divide 12 by 7 to get 12/7, which can be simplified and rounded to 1.7.

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A certain forest covers an area of 1900km^2. Suppose that each year this area decreases by 7.75%. What will the area be after 14

yarga [219]

Answer:

Assume that 1900km^2 is 1900.

If that happens, The equation of that will look like...

1900 - (1900 x 7.75% x 14)%.

1900 x 7.75% are 147.25.

and 147.25 x 14 are 2061.5.

so... there will be no forest after 14 years.(harsh)

Hope it helps!

8 0

3 years ago

A wire 23 cm long is cut into two pieces. The longer piece is 7 cm longer than the shorter piece.

Flura [38]

Length of a wire = 23 cm

Given that :

▪︎The wire was cut into two pieces.

▪︎The longer piece of wire is 7 cm longer than the shorter piece of wire.

Let the shorter piece of wire be x.

Then, the longer piece of wire = x+7

An equation that can be derived from these statements :

▪︎x + x + 7 = 23

Let us solve this equation :

$= \tt x + x +7 = 23$

$= \tt 2x + 7 = 23$

$= \tt 2x = 16$

$= \tt x = \frac{16}{2}$

$\color{plum} \hookrightarrow \color{plum}x = 8$

Thus, the value of x = 8.

Which means :

Length of the shorter piece of wire = 8 cm

Length of the longer piece of wire = 8 + 7 = 15 cm

Since the length of the two wires add up to form 23 cm(8+15=23), we can conclude that we have found out the correct measures of each wire.

Therefore, the length of the shorter piece of wire = 8 cm

7 0

3 years ago

Help me with number 17 only

FrozenT [24]

24 nitrate I’m pretty sure but not so sure but I’m pretty sure but not so sure

3 0

2 years ago

Michael chose some positive number, multiplied it by itself, added 1, multiplied the result by 10, added 3, and multiplied the r

ElenaW [278]

Answer: 7

Step-by-step explanation:

Let the number chosen by Michael be x.

We are told that he multiplied it by itself, added 1. This would be:

= = ( x × x) + 1 = x² + 1

We are further told that he multiplied the result by 10, and added 3. This would be:

= = [(x² + 1) × 10] + 3

= 10x² + 10 + 3

= 10x² + 13

Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:

(10x² + 13) × 4 = 2012

40x² + 52 = 2012

40x² = 2012 - 52

40x² = 1960

x² = 1960/40

x² = 49

x = ✓49

x = 7

The number is 7

can be expressed as:

= ( x × x) + 1 = x² + 1

5 0

2 years ago

Determine whether △DEF≅△PQR given the coordinates of the vertices. A. D(–6, 1), E(1, 2), F(–1, –4), P(0, 5), Q(7, 6), R(5, 0)

noname [10]

Using the distance formula to calculate distance between vertices, our calculation shows that △DEF and △PQR both have corresponding side lengths that are equal in size.

Therefore, △DEF ≅ △PQR.

Recall:

Distance between two vertices given their coordinates is calculated using the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Two congruent triangles will have corresponding sides that have equal lengths.

Find the side lengths of △DEF:

Distance between D(–6, 1) and E(1, 2) using $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Substitute

$DE = \sqrt{(1 -(-6))^2 + (2 - 1)^2} \\\\DE = \sqrt{7^2 + 1^2} \\\\DE = \sqrt{50}$

Distance between D(–6, 1) and F(–1, –4):

Substitute

$DF = \sqrt{(-1 -(-6))^2 + (-4 - 1)^2} \\\\DF = \sqrt{5^2 + (-5^2)} \\\\DF = \sqrt{50}$

Distance between E(1, 2) and F(–1, –4):

Applying the same formula and step above, $\mathbf{EF = \sqrt{40} }$

Find the side lengths of △PQR:

Also, using the distance formula, the following are the side lengths of △PQR,

Distance between P(0, 5) and Q(7, 6): $\mathbf{PQ = \sqrt{50}}$

Distance between P(0, 5) and R(5, 0): $\mathbf{PR = \sqrt{50}}$

Distance between Q(7, 6) and R(5, 0): $\mathbf{PR = \sqrt{40}}$

From our calculation, it shows that △DEF and △PQR both have corresponding side lengths that are equal in size.

Therefore, △DEF ≅ △PQR.

Learn more here:

brainly.com/question/21107278

5 0

2 years ago