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3 years ago

I need 5 and 6 answered

Mathematics

2 answers:

Dahasolnce [82]3 years ago

7 0

5) correct answer should be = A (8)
6) x=18

denis23 [38]3 years ago

6 0

Answer:

5) 8

6) x = 18

Step-by-step explanation:

5) Turn into mixed numbers: 16/3 divided by 2/3

Keep, Change, Flip.

16/3 * 3/2 = 48/6 = 8

6) add 7 to each side

x = 18

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Graph the linear equation. Find three points that solve the equation, then plot on the graph.

Illusion [34]

Answers:

Three points that solve the equation: $(1, \frac{19}{4} ) , (2, 5), (3, \frac{21}{4} )$

The graph is shown in the attached pictures.

NOTE: The first picture is the graph of the equation along with the plotted points, and the second one shows the work for those three points.

Step-by-step explanation:

1. To graph this equation, an easier way to do it would be to convert to slope-intercept form so we can graph knowing the y-intercept and the slope. Do this by isolating the y on the left side like so:

$x-4y=-18\\-4y = -x -18\\y = \frac{-x}{-4} -\frac{18}{-4} \\y = \frac{1}{4} x + \frac{9}{2}$

Remember that slope-intercept form is in y = mx + b format, and that m is the slope and b is the y-intercept. With this information, we know that (0, $\frac{9}{2}$ ) is the y-intercept and $\frac{1}{4}$ is the slope of this equation. We can plot the point (0, $\frac{9}{2}$ ) on the graph, and then use the slope of $\frac{1}{4}$ from there to graph other points and form a line. (When I graphed the line, I didn't include these "other points" so it wasn't confusing to locate which points were the three solutions listed.)

2. Points that solve an equation - or solutions - are also points that the line of the equation intersects. So, what we can do is form a table, plug in some x values into the equation, and solve for a y-value. The x and y values will form a point that is on the graph, thus they are solutions. (Please look at the second picture for work and clarification.) After identifying these points, just plot them on the graph and label them (as shown in the first picture).

8 0

3 years ago

Cee-Lo Green decided to paint his entire house purple! The purple paint mixture contains 1/2

Temka [501]

Answer

Find out the how many cups of red and blue paint would you need .

To prove

As given

Cee-Lo Green decided to paint his entire house purple .

The purple paint mixture contains $\frac{1}{2}$ cup of blue paint and $\frac{1}{3}$ cup of red paint.

Thus the ratio of the blue paint to the red paint is given by.

$\frac{Blue\ paint}{Red\ paint} = \frac{\frac{1}{2}}{\frac{1}{3}}$

Thus

$\frac{Blue\ paint}{Red\ paint} = \frac{3}{2}$

As given

same ratio to make 20 cups of purple paint .

Let us assume that the x be the scalar multiple of the blue and the red paint.

Blue paint cups = 3x

Red paint cups = 2x

2x + 3x = 20

5x = 20

$x = \frac{20}{5}$

x = 4

Thus

Blue paint cups = 3 × 4

= 12 cups

Red paint cups = 2 × 4

= 8 cups

Therefore 8 cups of red and 12 cupsblue paint would you need to form 20 cups of the purple paint.

4 0

3 years ago

You have a three year fixed rate lease of $900/month due to expire next month. Your landlord is willing to renew the three year

harkovskaia [24]

Answer:

$\\3 percent of 900 = 27 \\900 + 27 = 927 \\ 927 * 36 = 33372$

Step-by-step explanation:

First you have to find out the 3% of 900 (is 27)

then you add 27 to 900

then you multiply it by 3 years (36 months)

and your result is 33372 :)

8 0

3 years ago

Holly had 5000 in her bank account.she withdrew $800 to buy a new bike.what is the percent decrease in the balance of her accoun

vazorg [7]

Answer:

16%

Step-by-step explanation:

800 is 16% of 5000 so and it decreased by 800, so it decreased by 16%

4 0

3 years ago

70 POINTSS!!!! URGETT PLS HELP!! Vectors t = −5i + 2j, u = −3i + 7j, and v = 8i + 20j are given.

LUCKY_DIMON [66]

The angle between the vectors t and u is 45°. And the vector t and vector w are orthogonal to each other.

<h3>What is a vector?</h3>

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

The vectors are given below.

t = −5i + 2j, u = −3i + 7j, and v = 8i + 20j

Part A: Then the angle between vectors t and u will be

$\cos \theta = \dfrac{\overrightarrow{a} \cdot \overrightarrow{b}}{|\overrightarrow{a}| + |\overrightarrow{b}|}$

Then we have

cos θ = [(−5i + 2j)(−3i + 7j)] / [√{(-5²) + 2²} + √{(-3)² + 7²}]

cos θ = 1 / √2

θ = 45°

Part B: c is a scalar

If $\rm \overrightarrow{\rm v} = (a, b)$ , then $\rm c\overrightarrow{\rm v} = c(ca, cb)$

Let c = 2, then we have

$\overrightarrow{\rm w} = c\overrightarrow{v}\\\\\overrightarrow{\rm w} = (2*8, 2*20)\\\\\overrightarrow{\rm w} = (16, 40)$

Part C: Use the dot product to determine if t and w are parallel or orthogonal.

$\overrightarrow{\rm t} \cdot \overrightarrow{\rm w} = (-5, 2)(16, 40)\\\\ \overrightarrow{\rm t} \cdot \overrightarrow{\rm w} = -5*16+ 2*40\\\\ \overrightarrow{\rm t} \cdot \overrightarrow{\rm w} = -80+ 80\\\\ \overrightarrow{\rm t} \cdot \overrightarrow{\rm w} = 0$

More about the vector link is given below.

brainly.com/question/13188123

#SPJ1

6 0

2 years ago