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3 years ago

Is the product of 3⅝ x ⅔ greater than or less than 3⅝? explain without multiplying

2 answers:

3 0

So the question is
number times 2/3 is greater than or less than the sasme number
so let's say x
x times 2/3 is greater than or less than x
since 2/3 is less than 1, 2/3 is a fraction,
anything times a fraction will become smaller

therefor
3 and 5/8 times 2/3 is less than 3 and 5/8

the answer is LESS THAN

gizmo_the_mogwai [7]3 years ago

3 0

You are multiplying a number by a fraction, or something that is less than 1. Anytime you multiply a number by a fraction, it will become smaller. Therefore it will be less than.

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Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12

schepotkina [342]

Answer:

I think you can just say about a blueprint and make it up.

Step-by-step explanation:

8 0

2 years ago

Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles

gtnhenbr [62]

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

============================================================

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

(1,5)
(2,4)
(3,3)
(4,2)
(5,1)

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

(1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

7 0

3 years ago

M and n are parallel lines cut by a transversal.<br> What is the value of x + y?

slava [35]

Answer:

180°

Step-by-step explanation:

It will be answer ...............

8 0

2 years ago

sonja wants to have $14000 in 13 years. calculate how much she should invest now at 6% interest, compounded semiannually in orde

mariarad [96]

She should invest $6491.73.

The equation we use to solve this is in the form
$A=p(1+\frac{r}{n})^{nt}$ ,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.

A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.

$14000=p(1+\frac{0.06}{2})^{13*2}
\\
\\14000=p(1+0.03)^{26}
\\
\\14000=p(1.03)^{26}
\\
\\\text{Dividing both sides by }1.03^{26}\text{, we have}
\\
\\\frac{14000}{1.03^{26}}=\frac{p(1.03)^{26}}{1.03^{26}}
\\
\\6491.73\approx p$

5 0

2 years ago

What is the equation of the line that passes through the point (9, 6) and is perpendicular to the line y = 3x - 5?

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

y = 3x - 5

m₁ = 3

The required line is perpendicular to y = 3x - 5. Let the required line's slope be m₂

m₂ = -1/m₁

m₂ = -1/3

Point (9,6)

Equation of line: y - y₁ = m(x - x₁)

y - 6 = (-1/3)(x - 9)

$y-6=\frac{-1}{3})x+\frac{1}{3}*9\\\\y-6=\frac{-1}{3}x+3\\\\y=\frac{-1}{3}x+3+6\\\\y=\frac{-1}{3}x+9\\$

5 0

3 years ago