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eimsori [14]
3 years ago
10

5/8x + 2 = 57/16 hurryy

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

x = \frac{5}{2}

Step-by-step explanation:

Given

\frac{5}{8} x + 2 = \frac{57}{16}

Multiply through by 16 to clear the fractions

10x + 32 = 57 ( subtract 32 from both sides )

10x = 25 ( divide both sides by 10 )

x = \frac{25}{10} = \frac{5}{2}

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A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 5 crayon. One item from each box is chosen
Dmitry_Shevchenko [17]

Hello! :)

What is the probability of choosing a pen from the first box? It is 5/10 = 1/2.

 

What is the probability of selecting a crayon from the second box? It is 5/8.

 

The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/2 = 5/16.

Hope this helped and I hope I answered in time!

Good luck!

~ Destiny ^_^

7 0
3 years ago
On Sarah's 16 GB flash drive, she can fit 16 video clips of about 1 GB each, two movies of about 8 GB each, or 4000 songs of abo
Leno4ka [110]

Answer:

She can fit either the 16 video clips or the two movies

Step-by-step explanation:

7 0
3 years ago
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Please Hurryyy
Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

\rm j^2 = h^2 + i^2 -2hicosC

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

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3 0
1 year ago
Quadrilateral army is rotated 90° about the origin
nevsk [136]
Sorry I am late but the I think it is this, I don’t know the answer but here is what I know. answer is: Imagine a rectangle that has one vertex at the origin and the opposite vertex is A. Now that you can see the image of A(3,4) under the rotation is A’(-4,3). It is easier to rotate the points that lie on the axes, and these help us find the image of A.
POINT: (3,0) (0,4) (3,4)
IMAGE (3,0) (-4,0) (-4,3)
8 0
2 years ago
ZA and ZB are complementary angles. If mZA = (7x + 23)° and
Marat540 [252]

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

5 0
2 years ago
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