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3 years ago

Part 3 of my math hw!

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

8 0

Answer:

Yes, side AD is the height of triangle ABC

Step-by-step explanation:

The side AD goes from the tip of the triangle (point A) to the base of the triangle (point D), and since that is the case it can accurately measure the triangle's height.

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6. Sue goes to the bakery and purchases cupcakes and cookies for a picnic. She needs to serve 36 people. Cupcakes cost $2.50 eac

ruslelena [56]

Answer:the number of cupcakes that Sue purchased is 12

Step-by-step explanation:

Let x represent the number of cupcakes that Sue purchased at the bakery.

Let y represent the number of cookies that Sue purchased at the bakery.

She needs to serve 36 people. This means she would purchase a total of 36 people. Therefore,

x + y = 36

Cupcakes cost $2.50 each, cookies cost $1.00 each. She spends $54.00. This means that

2.5x + y = 54 - - - - - - - - - 1

Substituting x = 36 - y into equation 1, it becomes

2.5(36 - y) + y = 54

90 - 2.5y + y = 54

- 2.5y + y = 54 - 90

- 1.5y = - 36

y = - 36/ - 1.5

y = =24

x = 36 - y = 36 - 24 = 12

6 0

3 years ago

Change each standard form equation to slope-intercept form!

goldenfox [79]

Hello!

Slope-intercept form is this one: $y=a*x+b$ where a is the slope and b the intercept.

So, for transforming these equations to Slope-Intercept you'll need to rearrange the equations by adding or subtracting the same amounts on both sides of the equation (as a rule of thumb, sums are transformed into subtractions and multiplications into divisions).

1) 3x + y = 12

You should notice that Y and X are on the same side of the equation, so by subtracting 3x on both sides of the equation you'll cancel X on the left side:

 $3x+y-3x=12-3x \\ y=12-3x$

To finish, we rearrange this equation to the form y=a*x+b

 $y=-3x+12$

So, the slope is -3 and the intercept is 12

2) 8=y+5x

You should notice that Y and X are on the same side of the equation, so by subtracting 5x on both sides of the equation you'll cancel X on the right side:

$8-5x=y+5x-5x \\ 8-5x=y$

To finish, we rearrange this equation to the form y=a*x+b

$y=-5x+8$

So, the slope is -5 and the intercept is 8

3) 6x + 3y = -9

You should notice that Y and X are on the same side of the equation, so by subtracting 6x on both sides of the equation you'll cancel X on the left side:

$6x+3y-6x=-9-6x \\ 3y=-9-6x$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 3 to cancel this number on the left side.

$\frac{3}{3}y= \frac{9}{3}- \frac{6}{3}x \\ y=3-2x$

To finish, we rearrange this equation to the form y=a*x+b

$y=-2x+3$

So, the slope is -2 and the intercept is 3

4) x - 5y = 55

You should notice that Y and X are on the same side of the equation, so by subtracting x on both sides of the equation you'll cancel X on the left side:

$x-5y-x=-55-x \\ -5y=-55-x$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -5 to cancel this number on the left side.

$\frac{-5}{-5}y= \frac{55}{-5}- \frac{1}{-5}x \\ y=-11+ \frac{1}{5}x$

To finish, we rearrange this equation to the form y=a*x+b

$y=\frac{1}{5}x-11$

So, the slope is 1/5 and the intercept is -11

5) -4x-y=-2
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the left side:

$-4x-y+4x=-2+4x \\ -y=2+4x$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -1 to cancel this number on the left side.

$\frac{-1}{-1} y= \frac{-2}{-1}+ \frac{4}{-1}x \\ y=2-4x$

To finish, we rearrange this equation to the form y=a*x+b

$y=-4x+2$

So, the slope is -4 and the intercept is 2

6) -16 = -4x + 2y

You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the right side:

$-16+4x=-4x+2y+4x \\ -16+4x=2y$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 2 to cancel this number on the right side.

$\frac{-16}{2}+ \frac{4}{2} x= \frac{2}{2}y \\ -8+2x=y$

To finish, we rearrange this equation to the form y=a*x+b

$y=2x-8$

So, the slope is 2 and the intercept is -8

I hope that this helps. Have a nice day!

8 0

4 years ago

Can someone help me out with this question ( giving brainliest)

aleksandrvk [35]

Answer:

0.6

Step-by-step explanation:

the reason is because there are 5 different colors of marbles in the bag. it specifically says that each color has the same number of marbles for each color. so that would mean that there is 20% of each color of marble from the bag. its asking for three of the 5 colors. which means you would have a 60% chance of getting one of the colored marbles. which is were i got .6 from

5 0

3 years ago

Read 2 more answers

in abc the measure of angle a is 2x+3, the measure of b is 4x+2, the measure of c is 2x-1. What are the measures of the angles?

Mama L [17]

The measures of the angles in a triangle add up to 180°.
$2x+3+4x+2+2x-1=180 \\
8x+4=180 \ \ \ |-4 \\
8x=176 \ \ \ |\div 8 \\
x=22 \\ \\
2x+3=2 \times 22+3=44+3=47 \\
4x+2=4 \times 22+2=88+2=90 \\
2x-1=2 \times 22-1=44-1=43$

The measures of the angles are 43°, 47° and 90°.

5 0

3 years ago

Does anyone know this?

Fudgin [204]

Answer:

24 cm

Step-by-step explanation:

30^2 = 18^ 2 + a ^2 according to the Pythagorean theorem

3 0

3 years ago

Read 2 more answers

Part 3 of my math hw!​

Part 3 of my math hw!