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daser333 [38]
3 years ago
5

diana worked on her science project for 5 1/3 hours. gabe worked on his science project 1 1/4 times as long as diana. paula work

ed on her science project 3/4 times as long as diana
Mathematics
1 answer:
solmaris [256]3 years ago
5 0
Time taken by Diana to finish her project is 5 1/3 hours
Gabe took 1 1/4 times as long as Diana, therefore Gabes time will be:
1 1/4 × 5 1/3
=5/4 × 16/3
=20/3
=6 2/3 hours

Paula took 3/4 times as long as Diana, therefore time taken by Paula will be:
3/4 × 16/3
=4 hours
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-9 degrees Celsius

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-3 +-2 +-4 = -9

5 0
3 years ago
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Ms. drake invests $1000 at a simple interest rate of 8.5% for 2 years. how much interest will she earn in this time?
PilotLPTM [1.2K]

Ms. Drake will earn \$ 170 in this time from the investment of \$ 1000 at a simple interest with rate of interest 8.5\%

<h3>What is the definition of simple interest?</h3>

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Formula for finding simple interest is \frac{principal \times rate \ of \ interest \times time}{100}

Given principal of Ms. Drake is \$1000

Rate of interest is 8.5 \%

Time is 2 years.

Interest =\frac{1000 \times 8.5 \times 2}{100}

            =\frac{17000}{100}\\=170

Therefore, Ms. Drake will earn \$ 170 in this time.

To learn more about simple interest from the given link

brainly.com/question/7639734

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7 0
1 year ago
An isosceles trapezoid has base angles 45 and bases of lengths 9 and 15 the area pf the trapezoid is
Nadusha1986 [10]
Tangent 45 = height / 3
height = 3 * tan (45)
height = 3 * 1
height = 3

<span>Trapezoid area = ((sum of the bases) ÷ 2) • height
</span>
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</span><span>Trapezoid area =  12 * 3

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</span>
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3 years ago
(1, 4); slope = -2 write the linear equation in slope intercept form given
jeka57 [31]

Answer:

y=-2x+2

Step-by-step explanation:

The slope is -2x, meaning that the y-intercept can be found by working backwards from the given point. If the y value of the point is 4, subtracting 2 to get you to the point (0, 2) would provide the y-intercept.

Slope Intercept form is y=mx+b (m is the slope, x is the entered value, b is the y intercept)

3 0
3 years ago
Which equation can be used to solve for b?
Tanya [424]

Answer:

The first one

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan30° = \frac{opposite}{adjacent} = \frac{AC}{BC} = \frac{b}{8}

Multiply both sides by 8

8 × tan30° = b, that is

b = 8tan30°

8 0
2 years ago
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