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2 years ago

What is 8 1/2 x 3 = please help

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

4 0

Answer:

Step-by-step explanation:

Convert 8 1/2 to 17/2 and this multiplied by 3 is 51/2. Convert it back to mixed fraction to get 25 1/2.

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Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho

Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be= x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

Time taken by Samantha

$=\frac{80}{x}$

Time taken by Tamara

$=\frac{80}{4+x}$

Equation for difference in time

$=\frac{80}{x} -\frac{80}{4+x} =1$

Solve the equation for difference in time to get value of x which is samantha speed

$=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0$

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

$x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16$

Samantha speed is 16 mph

6 0

3 years ago

Y=–3x + 6y=9 What is the solution to the system of equations? (–21, 9) (9, –21) (–1, 9) (9, –1)

weqwewe [10]

ANSWER

The solution is $(-1,9)$

EXPLANATION

We want to solve the simultaneous equations

$y=-3x+6---(1)$

and

$y=9--(2)$ .

We substitute equation (2) in to equation (1), to obtain

$9=-3x+6$

This has now become a linear equation in a single variable $x$ .

We solve for x by grouping like terms.

$9-6=-3x$

$3=-3x$

We divide through by negative 3 to get;

$-1=x$ .

Hence, the solution is $(-1,9)$

7 0

3 years ago

Read 2 more answers

Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school. What is the mean

ra1l [238]

Answer:

The mean of sampling distribution of the proportion of the students who prefer later start times for school

μₓ = p = 0.63

Step-by-step explanation:

Explanation:-

Given sample size 'n' =200

given data Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school

sample proportion

$p = \frac{x}{n} = \frac{126}{200} = 0.63$

The mean of sampling distribution of the proportion of the students who prefer later start times for school

μₓ = p = 0.63

Standard deviation of the proportion

$S.D = \sqrt{\frac{p(1-p)}{n} } = \sqrt{\frac{0.63(1-0.63)}{200} } = 0.034$

5 0

3 years ago

Please help simple math problem

GarryVolchara [31]

The answer is supplementary angles, hopefully that helps.

4 0

3 years ago

Read 2 more answers

Ned help quick need the anwser

Degger [83]

Answer:

1 D

6 I that is an i

7 0

3 years ago

What is 8 1/2 x 3 = please help​

What is 8 1/2 x 3 = please help