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shutvik [7]
3 years ago
7

Find the product of 21 and (6.3 · 10^-4).0.1323 · 10^-1 1.323 · 10^-3 1.323 · 10-^2 1.323 · 10^2

Mathematics
1 answer:
Ann [662]3 years ago
7 0

21 × (6.3 · 10^-4)

= (21 × 6.3) × 10^-4

= 132.3 × 10^-4

= 1.323 × 10^-2

Answer

1.323 × 10^-2

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Lewis walked 9/10 of a mile. His friend walked 2/5 of the way with him. How many miles did Lewis's friend walk with him?
iVinArrow [24]

Answer:

Lewis's friend walked with him 9/25 miles

Step-by-step explanation:

Given that

Lewis walked 9/10 of a mile

And His friend accompanied him on 2/5 of the way.

This is a simple question of fraction multiplication

The fraction 2/5 has to multiplied with the miles walked by lewis

So

= \frac{2}{5} * \frac{9}{10}\\=\frac{9}{25}

Hence,

Lewis's friend walked with him 9/25 miles

5 0
2 years ago
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be
STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

10x^2-19x+6

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

10x^2-19x+6=0

10x^2-15x-4x+6=0

5x(2x-3)-2(2x-3)=0

(5x-2)(2x-3)=0

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0
3 years ago
Identifying the slope, y-intercept and x- intercept of each
Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

\frac{(0)-(3)}{(2)-(1)}

Simplify;

\frac{-3}{1}\\\\=-3

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

y = mx + b

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

y=-3x+b

Substitute in point (3, -3)

-3=-3(3)+b\\-3 = -9 + b\\6 = b

4 0
3 years ago
Mrs.Welch needs to buy some cat food . If each can costs $0.79 and she has a coupon for $2 off the entire purchase, how many can
allochka39001 [22]

Answer:

11 cans of cat food...........

Step-by-step explanation:

£0.79 x 11 = £8.69

£8.69 - £2 = 6.69

6 0
3 years ago
Read 2 more answers
331 students went on a field trip. Six buses
slamgirl [31]
54 students in each bus. 

Step#1 Subtract 7 from the total of students, the answer is 324
Step#2 Divide 324 by 6, the answer is 54

Therefore the answer is 54 students, hope that helped. <span />
8 0
3 years ago
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