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scoundrel [369]
2 years ago
15

the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first numbe

r. Set these numbers​
Mathematics
1 answer:
HACTEHA [7]2 years ago
3 0

Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

9x=63

9x/9=63/9

X=7

2x=14

3(2x)=42

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Evaluate the exponent expression 3x–4 ⋅ xy2 for x = –1 and y = 2.
ddd [48]

Answer:

48

Step-by-step explanation:

Given,

x = - 1

y = 2

To find : The value of 3x - 4 ⋅ xy² ?

Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².

3x - 4 ⋅ xy²

= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²

= - 3 - 4 ⋅ - 1 ( 4 )

= - 12 ⋅ - 4

= 48

Note : -

When a negative number gets multiplied with a negative, the resulted number is a positive number.

8 0
2 years ago
Help please need this answer
fredd [130]

Answer:

(5,4) is the solution

Step-by-step explanation:

2x + y = 14 --> y = -2x + 14

Substitute y = -2x + 14 into 3x - 2y = 7


3x - 2( -2x + 14) = 7

3x + 4x - 28 = 7

7x = 35

x = 5

y = -2(5) + 14

y = -10 + 14

y = 4

Answer (5 , 4)

7 0
3 years ago
Read 2 more answers
5
LekaFEV [45]

Answer: y-1=\dfrac32(x+3)

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = \dfrac{d-b}{c-a}

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

(y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)

Required equation: y-1=\dfrac32(x+3)

8 0
2 years ago
Proportional relationships, please answer all of the parts! Thank you!
Natalka [10]

Answer:

a. No (see below)

b. (see below)

c. Johnny

d. Johnny = $12.50 / hour      Doug = $9.16... / hour

e. Doug: extend the table to show how much he gets paid for 1 hour of work (the unit rate)

Johnny: already on the graph

Step-by-step explanation:

a. No. This is because a proportional relationship would have a certain ratio between payment and the amount of time spent working, which would not change. However, if Doug's neighbour pays him $55 for 6 hours, it's likely that this is not a proportional relationship, or we would be able to divide $55 by the 6 hours Doug spent working.

b. Even though above I said that it's probably not a proportional relationship, if it were, we would have to divide everything equally. I'm guessing the table should look like this:

                            Doug

       Time (hr)                      Earnings ($)

          4                                  $36.66...

          5                                  $45.8333...

          6                                  $55

          7                                  $64.4666....

          8                                  $73.333...

To work out how much Doug would get for working 4 hours:

4/6 x $55 = 2/3 x $55 = $36.66... (so definitely not a proportional relationship)

To work out how much Doug would get for working 5 hours:

5/6 x $55 = $45.8333.... (more evidence that this is not a proportional relationship)

To work out how much Doug would get for working 7 hours (we already got 6 hours):

7/6 x $55 = $64.4666...

To work out how much Doug would get for working 8 hours:

8/6 x $55 = $73.33... (we could double the 4 hour payment, but this is probably more accurate)

c. Johnny is getting paid more. If we look at how much Doug gets for 6 hours, it's $55. If we look out at how much Johnny gets for 6 hours, it's $75. (If we do the same with the other amounts of time, it's the same.

4 hours: D = $36.67 vs J = $50

5 hours: D = $45.83 VS J = $60

etc...

d. Johnny gets $75 per 6 hours --> 75/6 = $12.50 per hour

Doug gets $55 per 6 hours --> 55/6 = $9.1666... per hour

e. Carry on the table for Doug all the way to 1, so you can see the how much Doug gets paid for 1 hour of work (i.e. the minimum).

The unit rate is already on the graph for Johnny.

HOPE THIS HELPED :)

P.S. Mate cld you please give me Brainliest? That table took so much dam work

7 0
3 years ago
Read 2 more answers
A geologist have two rocks on a scale that weighs 2 1/2 lbs together rock a was 1/7 of a the total weight how much did rock a we
oee [108]
2/35, just ask your calculator what is one seventh of two and one half.<span />
4 0
2 years ago
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