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2 years ago

8. What is the distance around the clock?

Mathematics

1 answer:

Elan Coil [88]2 years ago

4 0

Answer:

The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.

Step-by-step explanation:

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PLEASE AWNSER FAST I DONT HAVE MUCH TIME LEFT I NEED EVERY QUESTION PLEASE PLEASE HELP WILL RATE 5 STARS AND THANK YOU AND BRAIN

bonufazy [111]

Answer:

3:2

Step-by-step explanation:

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3 years ago

Read 2 more answers

I need help with these please

notsponge [240]

Answer:

1a - no

1b - yes

1c - no

2 - 1.5 grams of protein

3 - a solution to this equation tells us how many grams of protein/fat there could be depending on how many grams of the other there are. a solution to this is 6 grams of protein and 4 grams of fat.

Step-by-step explanation:

4(5)+9(2)=60

20+18=60

38=60

the equation is false

4(10.5)+9(2)=60

42+18=60

60=60

the equation is true

4(8)+9(4)=60

32+36=60

68=60

the equation is not true

plug in 6 for the f value

4p+9(6)=60

4p+54=60

subtract 54 from both sides

4p=6

divide both sides by 4 to get p alone

p=1.5

a possible solution can be seen by graphing the equation using the intercepts. the intercepts for this equation are (15,0) and (0,6.6). attached is an image of the graph. the points where the line crosses are possible solutions. the line crosses the point (6,4) on the graph, which represents 6 grams of protein and 4 grams of fat. you can also check this by plugging these values into the equation.

4 0

3 years ago

Tina must select and answer in any order three of seven

Leno4ka [110]

Answer:

Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Three questions from a set of 7. So

$C_{7,3} = \frac{7!}{3!(7-4)!} = 35$

Tina can select and answer the essay questions on her test in 35 ways.

6 0

3 years ago

What is the difference between 20 and -60

zalisa [80]

Answer:

Step-by-step explanation:

The "difference" means the answer using subtraction. Subtract -60 from 20 to find the different between the two numbers.

20 - (-60) When you have two minus signs, it become a plus sign.

= 20 + 60 Add

= 80 Difference between the numbers

Could you do it backwards? Subtract 20 from -60? Yes, but since the difference between two numbers will always be a <u>positive number</u>, you need to use absolute value symbols.

| -60 - 20 | Do -60 -20 first

= | -80 | Apply the absolute value of -80 (make the number positive)

= 80 Difference between the numbers

You do not have to put absolute value if you do 20 - (-60), but you can. For -60 -20, you must use them.

Therefore, the difference between 20 and -60 is 80.

6 0

3 years ago

What is an equation of the line that passes through the points (0, -7) and (-8, 3)?

avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -\frac{5}{4} x-7$

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}$

So, the slope is $-\frac{5}{4}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute real values for the $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{4}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

$y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7$

7 0

3 years ago