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3 years ago

I'm thinking of a number. When I multiply by 8 and add –1, I get –17. What's my number?

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

Say that you're thinking of number $x$

You multiply it by 8, and have $8x$

You add -1 (i.e., you subtract 1) and have $8x-1$

This equals -17, so you have

$8x-1=-17$

Add 1 to both sides

$8x=-16$

Divide both sides by 8:

$x=-2$

So, you were thinking of -2.

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Solve algebraically 8x + 10y = -4 -4x = 2 + 5y

Rufina [12.5K]

The answer to the first one is:

x=-5/4y+-1/2. Why?

In the equation 8x+10y=-4, you subtract 10y form each side which leaves you with 8x=-10y-4. Right? Then you divide each side by 8 which gives you the answer

The answer to the second one is the same answer to the first problem. Why? Because you can already divide each side which gives you x=-5/4y+-1/2.

Hope this helps :^)

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3 years ago

Heather is a cashier and she can ring up 36 customers in 24 minutes. At this rate how many minutes does it take to ring up 6 cos

Jet001 [13]

Answer: 4

Step-by-step explanation:

Let's make a table.

So we know that for 24 minutes, Heather can ring up 36 customers. Now, to get 6 customers, you need to divide 36 by 6.

36 = 24

/ 6 /6

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6 = 4

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3 years ago

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7 0

3 years ago

Please help with 6 and 7

Ilya [14]

Answer:

6. The number is $-5$

7. The two numbers are $10$ and $11$

Step-by-step explanation:

Question six can be re-worded to create the following expression:

$-2=\frac{4x+10}{5}$

Solve for x to find the number:

$-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x$

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

x and y are less than 20
$x + 1 = y$
$3x - 8 = 2y$

To get the numbers, we can create a system of linear equations. First, solve for $y$ in each expression:

$y = x+1$

$2y = 3x-8\\y = \frac{3}{2}x - 4$

Solve for $x$ :

$x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x$

Solve for $y$ :

$y = x + 1\\y = 10 + 1\\y= 11$

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2 years ago

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In what line do planes A and QRV intersect?

matrenka [14]

In this question, we have to fin the line of intersection of the planes A and QRV.

We have to see the given figure and find the line on which the two planes A and QRV meets.

Lines SR,TS, WT and WQ are not on plane QRV.

The only line which passes through both planes is QR.

And that's the line of intersection of the two planes.

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3 years ago