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2 years ago

Multiply. Write your answer as a fraction in simplest form. 10/7 x 3/5

Mathematics

2 answers:

Rus_ich [418]2 years ago

5 0

Answer:

6/7

Step-by-step explanation:

10/7 * 3/5

We can rewrite this so show how to cancel

10/5 *3/7

10/5 =2

2*3/7 = 6/7

kirill [66]2 years ago

3 0

10/7 * 3/5
Reduce 10 and 5
2/7 * 3/1
Then, multiply numerators together and denominators together
2 * 3 = 6
7 * 1 = 7
6/7 is the answer.

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After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l

LiRa [457]

Answer:

$d(t) = -20t - 260$

Step-by-step explanation:

The depth function is:

$d(t) = mt + b$

After 3 minutes, a submarine had descended to −320 feet.

This means that $d(3) = -320$ . So

$d(t) = mt + b$

$-320 = 3m + b$

After 8 minutes, the submarine had descended to −420 feet.

This means that $d(8) = -420$ . So

$d(t) = mt + b$

$-420 = 8m + b$

From the first equation:

$b = -320 - 3m$

$-420 = 8m + b$

$-420 = 8m - 320 - 3m$

$5m = -100$

$m = \frac{-100}{5}$

$m = -20$

And

$b = -320 - 3*(-20) = -260$

$d(t) = -20t - 260$

7 0

2 years ago

Seven times the sum of a number and 8 equals 4

gayaneshka [121]

Answer:

n= -52/7

Step-by-step explanation:

7(n+8)=4

(7×n)+ (7×8)=4

7n +56=4

7n +56-56=4-56

7n+0= -52

7n=-52

7n/7= -52/7

n= -52/7

3 0

1 year ago

Read 2 more answers

Mr Campbell has a jar on his desk that contains 1o0 marbles . At the end of class, each student draws a marble from the jar with

Yuliya22 [10]

Answer:

noseee

Step-by-step explanation:

6 0

2 years ago

3(s-5)/4 -3 = 4s- (s-3)/2 pls answer fast

Jobisdone [24]

Answer:

$s = \frac{9± \sqrt{ - 39} }{4}$

Step-by-step explanation:

$\frac{3(s - 5)}{4 - 3} = \frac{4s \times (s - 3)}{2}$

➡️ $\frac{3(s - 5)}{1} = 2s \times (s - 3)$

➡️ $3s - 15 = 2 {s}^{2} - 6s$

➡️ $3s - 15 - 2 {s}^{2} + 6s = 0$

➡️ $9s - 15 - 2 {s}^{2} = 0$

➡️ $- 2 {s}^{2} + 9s - 15 = 0$

➡️ $2 {s}^{2} - 9s + 15 = 0$

➡️ $s = \frac{ - ( - 9)± \sqrt{( - 9 {)}^{2} - 4 \times 2 \times 15} }{2 \times 2}$

➡️ $s = \frac{9± \sqrt{81 - 120} }{4}$

➡️ $s = \frac{9± \sqrt{ - 39} }{4}$

➡️ $s∉ℝ$

5 0

2 years ago

indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and

vladimir1956 [14]

The equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5) is 12x - 2y = 13.

In the question, we are asked to indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5).

The slope of the line with endpoints (-1,6) and (5,5), can be calculated as:

m = (6 - 5)/(-1 - 5) = 1/(-6) = -1/6.

Thus, the slope of the perpendicular bisector = -1/m = -1/(-1/6) = 6.

The perpendicular bisector passes through the midpoint of the line with endpoints (-1,6) and (5,5), which can be calculated as:

(x₁, y₁) = ( {(-1 + 5)/2},{(6 + 5)/2} ),

or, (x₁,y₁) = (2, 11/2).

Thus, the required equation can be shown as:

(y - 11/2) = 6(x - 2), which can be shown in the standard form as follows:

(2y - 11)/2 = 6x - 12,

or, 2y - 11 = 12x - 24,

or, 12x - 2y = 13.

Thus, the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5) is 12x - 2y = 13.

Learn more about the equation of perpendicular bisector at

brainly.com/question/20608689

#SPJ4

4 0

1 year ago