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aniked [119]
4 years ago
7

Brian counted 15 red cars and 20 blue cars in the parking lot. If the number of red cars stays the same, how many more blue cars

would need to be added so the ratio of red cars to blue cars is 1 to 2?
Mathematics
1 answer:
amm18124 years ago
8 0
10 more blue cars would need to be added
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A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?
Bingel [31]

Answer:

y=2/3x-2

Step-by-step explanation:

All of the given options are in slope intercept form.

Slope intercept form is y=mx+b

This is where m is the slope fo the line and b is the y intercept

That said, we can simply plug the given values into the form.

y=(2/3)x+(-2)

Simplify

y=2/3x-2

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3 years ago
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An elephants heart beats 28 times per minute.How many times does it beat in a half an hour?
Bumek [7]
30 x 28= 840

It's would beat 840 times in half an hour.
7 0
3 years ago
Hey can some one help me, Define a variable and write each phrase as an algebraic expression:
Elena L [17]

Answer:

1. <em>d</em> - 6 ft

where <em>d</em> is the width

2. <em>t</em> + 6 h/week

where <em>t</em> is the amount of time per week Theodore studies

3. <em>t’</em> - 6 a

where <em>t’</em> is Tracy’s age

4. (<em>k</em>/3) - 2

where <em>k</em> is the points that the panthers scored

Step-by-step explanation:

Write the variable and do the operations as described!

“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.

8 0
3 years ago
Mrs. Kwan
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One and a half gallons. (1.5 gallons)

3 0
3 years ago
et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe
Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation f(x)=x+\lvert 2x-3 \rvert=12 can be solved as follows:

x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}

\lvert 2x-3 \rvert =12-x

2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)

3x=15\,\,\text{or}\,\,\x=-9

Then, the solutions of the equation are x=5, x=-9.

Now, if g(x)=5x-3+\lvert x+4\rvert, we can solve the equation g(a)=4a+9 as follows:

5a-3+\lvert a+4 \rvert =4a+9

\lvert a+4\rvert =4a+9-5a+3

a+4 =-a+12\,\,\text{or}\,\,a+4=-(-a+12)

2a=8\,\,\text{or}\,\,4=12

So, the unique solution of this last equation is a=4

The last equation is h(x-1)=x-3, where h(x)=\lvert x \rvert -2x+5.. To solve this equation we can proceed as follows:

h(x-1)=x-3

\lvert x-1\rvert -2(x-1)+5=x-3

\lvert x-1 \rvert -2x+2+5=x-3

\lvert x-1\rvert =3x-10

x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)

-2x=-9\,\,\text{or}\,\,4x=11

x=9/2\,\,\text{or}\,\,x=11/4

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

8 0
3 years ago
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