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2 years ago

Select all of the following that can be a counterexample for the statement below.

Mathematics

1 answer:

Elanso [62]2 years ago

8 0

I can't see pictures, but I'm assuming you want it solved.

x+2>7.

Cancel out the 2 by subtracting 2 from both sides.

x+2>7

-2 -2

x>5

So the inequality is x>5.

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hope it helps

sorry if it doesn't

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X + y = k

Nadusha1986 [10]

We are given with two equations X + y = k and <span>x - y = k. to find the solution of the </span>system<span> of linear equations, we can use elimination by adding the equations to eliminate y. hence the third equation is 2x= 2k ; x = k, hence y is equal to zero. Answer is C</span>

4 0

2 years ago

Read 2 more answers

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. They traveled 2/3 of the remaining distance on

worty [1.4K]

Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday

Step-by-step explanation:

The total distance to to his grandmothers house is assumed to be 1

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would

1 - 7/10 = 3 /10

They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is

2/3 × 3/10 = 2/10 = 1/5

4 0

3 years ago

PLEASE ANSWER: 3 1/2 + (-7) x (2 2/3 + 1 1/2) = ?

Novay_Z [31]

Answer:

$-\frac{77}{3}$

Step-by-step explanation:

So we have the equation: $3\frac{1}{2} + (-7) * (2\frac{2}{3} + 1\frac{1}{2})$ . and I'm assuming you meant to do mixed fractions and not actually multiplying. 2 * 2/3. So the first thing to do is follow PEMDAS which essentially says Parenthesis first, Exponents next, Multiplication or Division, and then Addition or Subtract. So let's start by evaluating the 2 2/3 and 1 1/2. The first step is to combine 2 into the 2/3 and the 1 into 1/2. This is done by multiplying the 2 by the denominator of 3, and adding it to the numerator so: $2\frac{2}{3} = > \frac{(2*3)+2}{3} = > \frac{8}{3}$ . And you do this for the 1/2 as well: $1\frac{1}{2} = > \frac{(2*1)+1}{2}= > \frac{3}{2}$ .

Now when adding fractions, you can only add them when they have the same denominator, so we have the get 3/2 and 8/3 to have the same denominator. You can list the multiplies of 2 and 3 to try to find a LCM, but in this case, I'll just multiply 2 and 3, since they're really small numbers, also because 6 is the LCM. $\frac{8}{3} * \frac{2}{2} = \frac{16}{6}$ . And now do this to the 3/2 you get: $\frac{3}{2} * \frac{3}{3} = \frac{9}{6}$ . Now the inside of the parenthesis is: $\frac{9}{6} + \frac{16}{6} = \frac{25}{6}$ . So now we have the equation: $3\frac{1}{2} -7 * \frac{25}{6}$ . Also notice how I got ride of the plus sign and made it negative? Think of it as having a 1 in front and simply distributing that to the -7, 1*(-7) becomes -7.

Now to multiply the fraction by a whole number you simply multiply the denominator and numerator, and you can think of the denominator of a whole number as a 1. So this gives you: $\frac{-7}{1} * \frac{25}{6} = \frac{-7 * 25}{1 * 6} = -\frac{175}{6}$ . Now we have the equation: $3\frac{1}{2} - \frac{175}{6}$ . And to subtract these two numbers I'll make the 3 1/2 a fraction by multiplying the 3 by the denominator and adding it to the 1 which should become 7/2. And after that multiply both sides by 3/3 to get 21/6 so they have the same denominator. This gives you the equation: $\frac{21}{6} - \frac{175}{6} = \frac{21-175}{6} = -\frac{154}{6}$ . Which can simplify by dividing both sides by 2 to get: $-\frac{77}{3}$

6 0

1 year ago

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Please help I dont know what to do!!!

Olenka [21]

Hey John

Let's start solving #1

x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2

Next, let's solve the second one

$\frac{3}{5} + \frac{4}{5x} + \frac{7}{10x} + 1 \frac{1}{2} = 5 \frac{3}{5}$
Simplifies to:
$\frac{105x+75}{50x} = \frac{28}{5}$
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7

Let me know if you have questions about the answer.

Best of luck with your studies!

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3 years ago

375,000 using scientific notation

MAVERICK [17]

3.75X10^5 Is the answer, check it in your calculator just to be sure!

6 0

3 years ago