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forsale [732]
3 years ago
11

A glass is

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Step-by-step explanation:

x=volume of the glass

(1/3)x+63=(5/8)x

63=(5/8)x-(1/3)x

63=(15/24)x-(8/24)x

63=(7/24)x

multiply both sides by 24/7

(24/7)(63)=(24/7)(7/24)x

216=x

216 cm3 is the volume (answer)

1/3 of 216 is 72

72+63=135

135/216=0.625=5/8

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A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container
kifflom [539]

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36

36 number of 2/3-pint bottles can be filled from a 24-pint container

6 0
3 years ago
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Free_Kalibri [48]

Answer:

Step-by-step explanation:

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7 0
3 years ago
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
tankabanditka [31]

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

7 0
3 years ago
Which points are coplanar and noncollinear
yaroslaw [1]

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

4 0
3 years ago
Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the
EleoNora [17]

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2  = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm


ANSWER:

1 triangle 

3 0
3 years ago
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