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3 years ago

The sum of two numbers is 75. The second number is 3 less than twice the first

Mathematics

1 answer:

Mandarinka [93]3 years ago

7 0

Answer:

$\large{\textbf{The two numbers are: 26 and 49}.\\}$

Step-by-step explanation:

$\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y = 75 \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$ \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} & \implies x + 2x - 3 = 75 \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }$

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30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.

gulaghasi [49]

Answer:

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3 years ago

What is the slope intercept form of (3,3) (7,-1)

kow [346]

Slope intercept form follows this general equation...
$y=mx+b$
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
$m= \frac{y_2-y_1}{x_2-x_1}$
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
$m=\frac{-1-3}{7-3} =-1$
You plug in -1 into your slope formula...
$y=-1x+b$
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3 years ago

PLEASE HELP ASAP!: Solve for a and b 6a-b=-5 4a-3b = -8

klemol [59]

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in a to find b

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

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3 years ago

There are 30 chickens at a farm that are white. This number represents 12% of the total number of chickens at a farm. How many t

ratelena [41]

Answer:

3.6

Step-by-step explanation:

30 of 12% =3.6

hope this helped

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3 years ago

Graph a line with a slope of 3 that goes through the point (1, 3).

ryzh [129]

Answer:

Step-by-step explanation:

The slope intercept form of a line is y=mx+b where m is the slope and b is the y intercept. We are given a slope of three so

y=3x+b, using point (1,3) we can solve for b

3=3(1)+b, 3-3=0 so b=0 then our line is

y=3x

The x intercept is when y=0 and this occurs when x=0 or the point (0,0)

The y intercept occurs when x=0, this occurs when y=0 or the point (0,0)

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3 years ago