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3 years ago

Which expression is the best estimate of the product of 7/8 and 8 1/10

Mathematics

1 answer:

gtnhenbr [62]3 years ago

4 0

Answer:

Step-by-step explanation:

i don't see options to select from but my guess would be 8 because 7/8 is very close to being one and 8 1/10 is close to 8; 8 x 1 = 8

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For what fraction of a day will a 12-hour digital clock that shows only the hours and minutes display at least one 5 or 6

Brums [2.3K]

Answer: 4/9

Step-by-step explanation:

Find out combinations without 5 or 6.

Minutes with 5 or 6: 05,06,15,16,25,26,35,36,45,46,50–59. It 10+10=20 minutes per hour. And 40 minutes without 5 or 6.

Hours with 5 or 6: 5 and 6. Without 5 and 6 is 0,1,2,3,4,7,8,9,10,11 (10 hours).

Total time without 5 and 6 is 10*40minutes=400 minutes.

Time with 5 or 6 is 12*60–400=320 minutes.

Fraction of a day: 320/(12*60)=4/9=0.44444

7 0

3 years ago

Megan will multiply the first equation by 3 then add the result to the second equation.

Nesterboy [21]

The resulting equation will be x + y = 4 and 4y =20

<h3>System of equation</h3>

GIven the system of equation given as:

x + y = 4

-3x + y = 8

If Megan multiplies the first equation by 3 then add the result to the second equation, the resulting equation will be:

3x + 3y = 12

-3x + y = 8

Adding both equation

3y + y = 12 + 8

4y = 20

Hence the resulting equation will be x + y = 4 and 4y =20

Learn more on the system of equation here: brainly.com/question/13729904

3 0

2 years ago

Trigonometry Trigonometric Functions Given: Cos θ = (3/5), Find: Csc θ

torisob [31]

The value of $\csc \theta$ is $\frac{5}{4}$

Explanation:

Given that the function $cos \ \theta$ is $cos \ \theta= \frac{3}{5}$

We need to determine the value of $\csc \theta$

The value of Opposite side of the triangle:

The formula for $cos \ \theta$ is given by

$cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}$

The value of opposite side can be determined using the formula,

$opp=\sqrt{hyp^2-adj^2$

$opp=\sqrt{5^2-3^2}$

$opp=\sqrt{25-9}$

$opp=\sqrt{16}=4$

Thus, the value of opposite side is 4

The value of $sin \ \theta$ :

The formula for $sin \ \theta$ is given by

$sin \ \theta= \frac{opp}{hyp}$

Substituting the values, we have,

$sin \ \theta= \frac{4}{5}$

Thus, the value of $sin \ \theta$ is $\frac{4}{5}$

The value of $\csc \theta$ :

The formula for $\csc \theta$ is given by

$csc \ \theta=\frac{1}{sin \ \theta}$

Substituting the values, we have,

$csc \ \theta=\frac{1}{\frac{4}{5}}$

$csc\ \theta= \frac{5}{4}$

Thus, the value of $\csc \theta$ is $\frac{5}{4}$

Hence, the value of $\csc \theta$ is $\frac{5}{4}$

5 0

3 years ago

7. Use the discriminant to determine the number of real solutions of the equation. 5x^2- 3x+1=0

MariettaO [177]

Answer:

c. None

Step-by-step explanation:

5x²- 3x+1=0 ax² + b + c = 0

discriminant: b² - 4ac = (-3)² - 4*5 * 1 = 9 - 20 = - 11 (negative)

discriminant < 0 2 imaginary solutions

6 0

3 years ago

Read 2 more answers

How do i solve this lol teacher suck at explaining stuff

Murljashka [212]

A. The equation is in the form of y = mx + b. It will be y = -3x + 30.

B. The y-intercept is 30, which is the starting temperature in the problem.

C. The slope is -3, which means that they temperature is falling by 3 each hour.

4 0

3 years ago