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2 years ago

Use a common denominator to find negative 2/3 plus negative 4/5

Mathematics

2 answers:

leonid [27]2 years ago

5 0

-10/15 + -12/15 = -1 6/15. -2/3 becomes -10/15 when multiplied by 5. -4/5 becomes -12/15 when multiplied by 3.

SIZIF [17.4K]2 years ago

4 0

answer:

$\frac{22}{15}$ or 1 $\frac{7}{15}$

step-by-step explanation:

a common denominator between 3 and 5 is 15

first to get our denominator in the fraction $\frac{2}{3}$ to 15 we need to multiply by 5 so 2 × 5 = 10 and 3 × 5 = 15

this makes our new fraction $\frac{10}{15}$

now we need to get our denominator in the fraction $\frac{4}{5}$ to 15 so we need to multiply by 3 so 4 × 3 = 12 and 5 × 3 = 12

this makes our new fraction $\frac{12}{15}$

our new equation with common denominators is now $\frac{10}{15}$ + $\frac{12}{15}$ = coming out to be $\frac{22}{15}$

to make this into a mixed fraction we know 22 only goes into 15 once with 7 left over so our mixed fraction is 1 $\frac{7}{15}$

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Bisects means to separate in equal parts, meaning each part is equal. This means the equations on each side of the line are equal. Once you equate them, you combine like terms finding your answer.

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3 0

2 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago

7.) x-3>4 please help

givi [52]

Answer:

x>7

Step-by-step explanation:

x-3>4

Add 3 to both sides

x>7

Hope it helped!

6 0

3 years ago

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What is the slope of the line given by the equation y = 6x

Alenkinab [10]

Answer: Slope:

y-intercept:

Step-by-step explanation:

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I am joyous to assist anytime.

~Jarvis

8 0

2 years ago

If a = − 65 and b = 8, the product of a x b models which rule for multiplying integers? What is the product?

DedPeter [7]

Given, a = -65 and b = 8.

We have to find multiplication of them.

a is negative and b is positive. When we multiply them, we know that the multiplication of positive and negative is negative. That means $(+)(-) = -$ .

So $(a)(b) = (-65)(8)$

= $(-)(+)(65)(8)$ = $- (65)(8)$ = $-520$

So we have got the required product.

Multiplication of a and b = -520.

The correct option is option C.

4 0

3 years ago

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