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3 years ago

153 is 90% of what number

Mathematics

2 answers:

Inga [223]3 years ago

5 0

137.7
153x0.9=137.7
or
153x0.1=15.3
15.3x9=137.7

swat323 years ago

4 0

The answer should be 137.7

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

3 years ago

Read 2 more answers

Pls help me with this question

Sedbober [7]

7/12, 3/4, 4/7, 5/8, 4/7

Answer:

Order from Least to Greatest

4/7 = 4/7 < 7/12 < 5/8 < 3/4

Showing Work

Rewriting as fractions if necessary:

7/12, 3/4, 4/7, 5/8, 4/7

The least common denominator (LCD) is: 168.

Rewriting as equivalent fractions with the LCD:

98/168, 126/168, 96/168, 105/168, 96/168

Ordering these fractions by the numerator in order from least to greatest:

96/168 = 96/168 < 98/168 < 105/168 < 126/168

Therefore, your input in order from least to greatest is:

Answer =======> 4/7 = 4/7 < 7/12 < 5/8 < 3/4

B): 1.35, 5/4, 1.349, 6/5, 7/6

Number of inputs ====> 5

Answer => Ascending Order: Least to Greatest =====> 7/6, 6/5, 5/4, 1.349, 1.35

C): 0.819, 0.8199, 81/100, 815/1000

Number of Inputs ======> 4

Answer ==> Ascending order (Least to Greatest ====> 81/100, 815/1000, 0.819, 0.8199

D): 3 4/7, 245/70, 3.572, 90/29

Number of Inputs: 4

Answer ==> Ascending Order(Least to Greatest) ==> 90/29, 245/70, 3.572, 3 4/7

Hope that helps!!!! : )

3 0

3 years ago

Read 2 more answers

A business buys a computer for $3,000. After 4 years the value of the computer is expected to be $250. The value, v, can be rela

yuradex [85]

You are given two points in the linear function. At time 0 years, the value is $3000. At time 4 years, the value is $250. This means you have points (0, 3000) and (4, 250). You need to find the equation of the line that passes through those two points.

y = mx + b

m = (y2 - y1)/(x2 - x1) = (3000 - 250)/(0 - 4) = 2750/(-4) = -687.5

Use point (0, 3000).

3000 = -687.5(0) + b

b = 3000

The equation is

y = -687.5x + 3000

Since we are using points (t, v) instead of (x, y), we have:

v = -687.5t + 3000

Answer: d. v = -687.50 t + 3,000

6 0

2 years ago

1) 6a + 5a = −11

dimaraw [331]

Answer:

6a + 5a = 11

6a + 5a=

11a

11a = 11

divide both side by 11

11a/11 = 11/11

a = 1

5 0

2 years ago

15 less than twice a number is less than or equal to -23. Into an equation

Dafna1 [17]

I hope it’s correct!

4 0

3 years ago