MATHEMATICS HIGH SCHOOL

Dana bikes 10 miles in 50 minutes at this rate how far will she bike in 90 minutes

Answers

Answer 1

Answer:

Answer:

18 miles

Step-by-step explanation:

the ratio is miles/minute

10/50=0.2

so no just multiply the amount of minute you want 0.2*90= 18 miles

Answer 2

Answer:

Answer and Step-by-step explanation:

In an hour and a half, Dana would go 18 miles since she's going a mile at regular intervals, so if she's trekking for an additional forty minutes, she will bicycle 8 miles. This implies that you'd increase five minutes by 8 miles (recall it's a mile for every 5 minutes) and that would give you forty. At that point simply add that to the 50 minutes she's been cycling as of now.

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If you flip a coin 3 times what is the probability of getting 0 heads

Answers

the answer is 1/8 because since one toss would be 1/2 then 1/2 * 1/2 *1/2= 1/8

Numbers between 61 and 107 that is a multiple of 4,6, and 8

Answers

72 and 96. 72 is the answer once you multiply 18 by 4, 12 by 6, and 9 by 8. As for 96, you need to multiply 24 by 4, 16 by 6 and 12 by 8. If you divide 72 and 96 by 4, 6, and 8, you won't get any remainder for the answer - effectively making it a multiple of the three numbers.

If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

Answers

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\n\n=(3x+2)(2x-1)\n\n3x+2=0\to x=-(2)/(3)\n\n2x-1=0\to x=(1)/(2)\n\n\alpha=-(2)/(3);\ \beta=(1)/(2)\n\n(\alpha)/(\beta)+(\beta)/(\alpha)=(-(2)/(3))/((1)/(2))+((1)/(2))/(-(2)/(3))=-(2)/(3)\cdot(2)/(1)-(1)/(2)\cdot(3)/(2)=-(4)/(3)-(3)/(4)\n\n=-(16)/(12)-(9)/(12)=-(25)/(12)=-2(1)/(12)$

$use\ Vieta's\ formula:\n\n(\alpha)/(\beta)+(\beta)/(\alpha)=(\alpha^2+\beta^2)/(\alpha\beta)=(\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta)/(\alpha\beta)=((\alpha+\beta)^2-2\alpha\beta)/(\alpha\beta)=((\alpha+\beta)^2)/(\alpha\beta)-2\n\n\alpha+\beta=(-b)/(a);\ \alpha\beta=(c)/(a)\n\n((\alpha+\beta)^2)/(\alpha\beta)-2=(\left((-b)/(a)\right)^2)/((c)/(a))-2=(b^2)/(a^2)\cdot(a)/(c)-2=(b^2)/(ac)-2$

$6x^2+x-2\n\na=6;\ b=1;\ c=-2\n\n(\alpha)/(\beta)+(\beta)/(\alpha)=(1^2)/(6\cdot(-2))-2=(1)/(-12)-2=-2(1)/(12)$

Escreva no caderno dois exemplos de números reais que obedecem a cada uma das condições A) números irracionais maiores que 2,5 e menores que 3.
B) números racionais maiores que -7/8 e menores que -3/4

Answers

A números irracionais maiores que 3,5 é menores que 3

4/4.5 in simplest form

Answers

If you would like to write 4/4.5 in the simplest form, you can do this using the following steps:

4.5 = 4 5/10 = 4 1/2 = 9/2
4/4.5 = 4/(9/2) = 4/1 * 2/9 = 8/9

The correct result would be 8/9.

$(8)/(9)$

First remove the decimal in the denominator by multiply both numerator and denominator by 10.
Then simply dividing both numerator and denominator by 5

First to awnser will the question correct will get brainlyist The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?