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antiseptic1488 [7]
3 years ago
14

Round to the nearest whole number 8 5/6

Mathematics
2 answers:
dem82 [27]3 years ago
7 0
9 because 8 5/6 is closer to 9 than it is to 8
Aleks04 [339]3 years ago
3 0
The rule for rounding is that if the fraction is less than 1/2, we round down; and if the fraction is more than 1/2, we round up.

Because 5/6 is a greater fraction than 1/2, we must round the existing whole number (8), up.

8 5/6 rounded to the nearest whole number is 9.
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Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

7 0
2 years ago
Which of the following is the multiplicative inverse of 9y/7x?
Natali [406]
<span>C. 7x/9y is the correct answer.
</span>
3 0
3 years ago
A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a c
bearhunter [10]

Answer:

<u>A) Matched pairs design</u>

<u>Step-by-step explanation:</u>

In<em> </em><em>experimental design</em>, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.

Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.

5 0
3 years ago
Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv
vazorg [7]
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
y= \sqrt[5]{Bx+C}</span>
7 0
3 years ago
A rock show is being televised the lead singer who is 75 inches tall is 15 inches tall on a TV monitor the image of the bass pla
VladimirAG [237]
75 : 15 = x : 13
15 x = 75 · 13
15 x = 975
x = 975 : 15
x = 65
Answer:
The bass player is 65 inches tall.
6 0
3 years ago
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