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2 years ago

Round the nearest percentage 20 students to 30 students

Mathematics

2 answers:

aalyn [17]2 years ago

7 0

Answer:

20/30 = 66%

20 to 30 would be a 50% increase

Step-by-step explanation:

hope this helps

IRINA_888 [86]2 years ago

4 0

Answer:10%

Step-by-step explanation:

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What is the measure of arc QR? 26° 52 104 128°

denis23 [38]

The answer to this question is option C. 104 °

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3 years ago

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The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=

Leno4ka [110]

1 step: $S_{5}=T_{1}+T_{2}+T_{3}+T_{4}+T_{5}$ , $S_{3}=T_{1}+T_{2}+T_{3}$ , then
$S_{5}-S_{3}=T_{4}+T_{5}=5$ .

2 step: $T_{n}=T_{1}*q^{n-1}$ , then
$T_{6}=T_{1}*q^{5}$
$T_{5}=T_{1}*q^{4}$
$T_{4}=T_{1}*q^{3}$
$T_{3}=T_{1}*q^{2}$
and $\left \{ {{T_{6}-T_{4}= \frac{5}{2} } \atop {T_{5}+T_{4}=5}} \right.$ will have form $\left \{ {{T_1*q^{5}-T_{1}*q^{3}= \frac{5}{2} } \atop {T_{1}*q^{4}+T_{1}*q^{3}=5} \right.$ .

3 step: Solve this system $\left \{ {{T_1*q^{3}*(q^{2}-1)= \frac{5}{2} } \atop {T_{1}*q^{3}*(q+1)=5} \right.$ and dividing first equation on second we obtain $\frac{q^{2}-1}{q+1}= \frac{ \frac{5}{2} }{5}$ . So, $\frac{(q-1)(q+1)}{q+1} = \frac{1}{2}$ and $q-1= \frac{1}{2}$ , $q= \frac{3}{2}$ - the common ratio.

4 step: Insert $q= \frac{3}{2}$ into equation $T_{1}*q^{3}*(q+1)=5$ and obtain $T_{1}* \frac{27}{8}*( \frac{3}{2}+1 ) =5$ , from where $T_{1}= \frac{16}{27}$ .

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3 years ago

Write an equation parallel to 5x-4y=4 that passes through the point (-8,2)

Yuri [45]

Converting to slope intercept form:-

5x - 4y = 4

-4y = -5x + 4

y = 5/4 x - 1 so the slope of the line = 5/4

Finding the line that passes through ( -8, 2) with the same slope:-

y - 2 = 5/4(x - -8) (Point-slope form)

y = 5/4x + 10 + 2

y = 5/4 x + 12 is the answer is slope intercept form