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Mama L [17]
3 years ago
15

What is the product of −212 and −312 ? Enter your answer as a mixed number, in simplified form, in the box.

Mathematics
1 answer:
Natalija [7]3 years ago
5 0

(-2 1/2)×(-3 1/2) = (2 1/2)×(3 1/2) . . . . deal with the signs up front. The product of two negatives is a positive.

... = 2×(3 1/2) + (1/2)×(3 1/2) . . . . . use the distributive property

... = 2×3 + 2×(1/2) + (1/2)×3 + (1/2)×(1/2) . . . . and again

... = 6 + 1 + 3/2 + 1/4

... = 7 + (1 1/2) + 1/4

... = 8 + 2/4 + 1/4

... = 8 3/4

_____

On your calculator, -2.5 × -3.5 = 8.75.

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vichka [17]

Answer:

6 hours

Step-by-step explanation:

70 ÷ 4 = 17.5 ----- divide to find out how many miles she travels per hour.

Samantha is driving at 17.5 mph

105 ÷ 17.5 = 6 ----- divide to find out how long it will take to travel that distance.

distance ÷ time = speed

distance ÷ speed = time

5 0
3 years ago
Need answer urgently.
Feliz [49]
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4 0
3 years ago
The normal yearly growth of a plant is 60 inches. The normal growth was ten inches more than twice the amount of last year. What
Usimov [2.4K]

The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

<h3>What is linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The normal yearly growth of a plant is 60 inches.

Let's suppose the growth of the plant last year was x

The normal growth was ten inches more than twice the amount of last year.

From the above statement:

10 + 2x = 60

2x = 50

x = 25 inches

Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

4 0
2 years ago
What is the value of a in the equation a = 2 + 3a + 10?
xxTIMURxx [149]

Answer:

a= -6

Step-by-step explanation:

Given

a=2+3a+10

In order to find the value of a, we have to isolate a on a single side of the equation

So,

subtracting 3a from both sides

a-3a = 2+10+3a-3a

=>a-3a=12

=> -2a = 12

Dividing both sides by -2

=> -2a/-2 = 12/-2

=> a = -6

The value of a in the given equation is -6 ..

3 0
3 years ago
What is the perimeter of parallelogram HIJK? Round to the nearest hundredth.
bixtya [17]

Answer:

Perimeter of the parallelogram = 26.64 units

Step-by-step explanation:

The perimeter of parallelogram = 2(a + b)

Here a = KJ = 7 units.

b = HK

We need to find the HK using the distance formula.

Distance formula = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

H = (-4, 3) and k = (-2, -3)

Now plug in x1 = -4, y1 =3, x2 = -2, y2 = -3 in the distance formula

HK = \sqrt{(-2 -(-4))^2 + (-3 - 3)^2}

= \sqrt{(-2 +4)^2 + (-6)^2}

= \sqrt{4 + 36}

= \sqrt{40}

HK = b = 6.32 units

Now plug in a = 7 and b = 6.32 in the perimeter formula, we get

Perimeter = 2(7 + 6.32)

= 2(13.32)

= 26.64 units

Thank you.

6 0
3 years ago
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