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3 years ago

what is the algebraic equation 3 times the sum of a number and 7 is 2 less than five times the number

1 answer:

7 0

Let n = number

"3 times the sum of a number and 7" translates to 3(n + 7)

"2 less than five times the number" translates to 5n - 2

The word "is" becomes the equals sign.

3(n + 7) = 5n - 2

I think you already asked this one.

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Will give brainliest to whoever replies with the correct answer. (Question is in the image)

EastWind [94]

Answer:x = 7

Step-by-step explanation:

Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply: 3(x + 1) = 6(x - 3)

Distribute: 3x + 3 = 6x - 18

Combine like terms: 21 = 3x

Solve for 'x': x = 7

5 0

3 years ago

It is estimated that the annual cost of driving a certain new car is given by the formula C = 0.37m + 2600 where m represents th

arsen [322]

Answer:

12000-14000 (in miles)

Step-by-step explanation:

We are given that the annual cost of driving a certain car is given by the formula

$C=0.37m+2600$

Where m=Represents the number of miles driven per year

C=Cost in dollars

We have to find the range of miles that Jane can drive her new car.

Range of budgets=$7040-$7780

Substitute C=$7040 in the given formula

$7040=0.37m+2600$

$7040-2600=0.37m$

$4440=0.37m$

$m=\frac{4440}{0.37}$

$m=12000$

Substitute C=$7780 in the given formula

$7780=0.37m+2600$

$7780-2600=0.37m$

$5180=0.37m$

$m=\frac{5180}{0.37}=14000$

The range of miles that Jane can drive her new car=12000-14000

4 0

3 years ago

Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

CaHeK987 [17]

<u>Answer:</u>

$y=-\frac{1}{16} x^2$

<u>Step-by-step explanation:</u>

Equation of parabola with focus at (0,-4) and directrix is $y=4$ .

We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.

The parabola is opening downwards.

Let any point on parabola is (x,y).

Distance from focus(0,-4) to (x,y) = $\sqrt{(x-0)^2+(y-(-4))^2}=|y-4|$

$\sqrt{(x-0)^2+(y-+4)^2}=|y-4|$

$(x-0)^2+(y+4)^2=(y-4)^2$

$(x)^2+(y+4)^2=(y-4)^2$

$x^2+(y^2+4y+4y+16)=y^2-4y-4y+16$

$x^2+y^2+8y+16=y^2-8y+16$

$x^2+16y^2=0$

$16y=-x^2$

$y=-\frac{1}{16} x^2$

6 0

2 years ago

Find the exact value of the expressions

timama [110]

Answer:

here is your correct answer and listen question no four option are incorrect

4 0

2 years ago

Help please!!

Oksanka [162]

Answer:

A = 48 cm^2

Step-by-step explanation:

I hope this helps

3 0

3 years ago