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Ugo [173]
3 years ago
15

One day I found a strange thing happening to my watch,the minute hand & the hour hand were coming together every 65 minutes.

I decided to get it checked. Was my watch gaining or losing time, and how much per hour?
Mathematics
1 answer:
brilliants [131]3 years ago
5 0

Answer:

Step-by-step explanation:

The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time. The clock gains or loses in a day by=(720/11−M)(60×24/M) minutes.

Here M = 64. The clock gains or losses in a day by

=(720/11−M)(60×24/M)=(720/11−64)(60×24/64)

=16/11(60×3/8)=2/11(60×3)=360/11=32(8/11) minutes.

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Ms. Dunn spent 10.70 buying slices of pie and cookies. She bought a total of 24 items. A slice of pie costs 0.80 and a cookie co
Rus_ich [418]

Answer:

Ms. Dunn bought 7 slices of pie.

Step-by-step explanation:

With the information provided, you can write the following equations:

x+y=24 (1)

0.80x+0.30y=10.70 (2), where:

x is the number of slices of pie

y is the number of cookies

First, you can solve for x in (1):

x=24-y (3)

Next, you have to replace (3) in (2) and solve for y:

0.80(24-y)+0.30y=10.70

19.2-0.80y+0.30y=10.70

19.2-10.70=080y-0.30y

8.5=0.5y

y=8.5/0.5

y=17

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=24-17

x=7

According to this, the answer is that Ms. Dunn bought 7 slices of pie.

7 0
3 years ago
figure a is a scale image of figure b the scale image that maps figure a onto figure b is 1:7 1/4 enter the value of x
skad [1K]

Answer: x=21.75

Step-by-step explanation:

You need to convert from mixed number to decimal number.

In order to do this, you can follow the steps shown below:

1. You must divide the numerator of the fraction by the denominator of the fraction.

2. Now you must add the quotient obtained to the Whole number part.

Then, you get:

7\frac{1}{4}=7+0.25=7.25

Then, the scale image that maps "Figure A" onto "Figure B" is:

1:7.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure A" by 7.25.

Therefore, the result is:

x=(3)(7.25)\\\\x=21.75

3 0
3 years ago
Is this correct please help
Pavel [41]
Yes your answers are correct
5 0
3 years ago
Read 2 more answers
The altitude of an equilateral triangle is 9 inches. Find the perimeter of the triangle in inches.
Fiesta28 [93]
If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

cos 30 = 9 /h     where h = one of the sides of the equilateral triangle

h =  9 / cos 30  =  10.392 inches

Therefore the perimeter of the triangle = 3 * 10.392 =  31.1769 ins

Answer is 31.18 inches to the nearest hundredth.
5 0
3 years ago
Y = x^2 + 2x - 8 Solve with zeros
Katen [24]

Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

0=(x+4) ( x-2)

Using the zero product property

x+4 =0   x-2 =0

x=-4  x=2

6 0
3 years ago
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