I need help with question 19

The resulting expression after expansion is 110x - 1200

Given the function P(x) = 140x - (30x + 1200)

To solve the literal equation, we will have to simply expand the bracket using the distributive law.

According to the law  a(b+c) = ab+ac

You can see that a was distributed over "b" and "c"

For the expression, we will distribute -1 over 30x and 1300 to have;

P(x) = 140x -(30x) - (+1200)

P(x) = 140x - 30x - 1200

P(x) = 110x - 1200

Hence the resulting expression after the expansion is 110x - 1200

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Step-by-step explanation:

Answer:

we can immediately subtract 5$ from the 150$ cost. leaving us with 145$, then we can divide to see if 145 divided by 9 makes sense. it should be around 16.1111 but thats not a valid answer so we round down to 15. 15x9=145

Step-by-step explanation:

Answer: x=-5

The line is only at one x-value. The ine x- aloe the lien is at is -5. So, the equation is x=-5.

Answer:

I think it’s 30%

Step-by-step explanation:

Applying statistical concepts, it is found that the values are:

When a constant is added to each data in a variable:

When a constant is multiplied to each data in a variable:

Hence, mean of 12, added with p and multiplied with q, for a mean of 51:

[tex](12 + p)q = 51[/tex]

Variance of 84, after the operations, 756:

[tex]84\sqrt{q} =756[/tex]

[tex]\sqrt{q} = \frac{756}{84}[/tex]

[tex]\sqrt{q} = 9[/tex]

[tex](\sqrt{q})^2 = 9^2[/tex]

[tex]q = 81[/tex]

For p:

[tex](12 + p)q = 51[/tex]

[tex](12 + p)81 = 51[/tex]

[tex]12 + p = \frac{51}{81}[/tex]

[tex]12 + p = 0.63[/tex]

[tex]p = -11.37[/tex]

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Answer: about a 13% increase

Step-by-step explanation:

2750/3162.50 is 0.87 so the profit before was 87% of what it is now

1-0.87 is 0.13 so it increased by 13%

Answer:

y = 1.50x + 5.50

Step-by-step explanation:

Answer: 16.12 or 16.1

Step-by-step explanation:

The horizontal distance is equal to 6.45ft.

Using trigonometric ratio SOHCAHTOA,

We have the values of

Using trigonometric ratio to solve this problem,

SOHCAHTOA,

we can easily use the cosine of the angle to find the adjacent side.

[tex]cos\theta = \frac{adjacent}{hypothenuse}\\ cos69 = \frac{adjacent}{18}\\ adjacent = 18cos69\\adjacent = 6.45ft[/tex]

From the calculations above, the horizontal distance is equal to 6.45ft.

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slope = −2

Once you know the slope of the line, plug it in for m in y = mx +

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Subtracting a negative is just like adding a positive. A way to think about this is that the negative cancel each other out are you left with a positive number.

You can rewrite this as -87 + 82.

Then, you solve and get -5.

Answer:

-5

Step-by-step explanation:

When you are subtracting a negative number, it is the same as adding a positive. We can re-write the expression as:

-87 + 82

When adding a negative and positive number, the one with the larger absolute value controls what sign the sum has. In this case the sum would be negative because 87 > 82. Also, we would subtract these absolute values: 87-82 = 5. This has to be negative, meaning the answer is -5.

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Hint: The sum of the interior angles of a triangle is 180 degrees.

(The general formula (n-2)*180.) Do the calculations to find the missing angle of triangle.

Answer:

B. -3.5; the rate at which Rachel's distance is changing per hour.

Step-by-step explanation:

Slope is a rate of change, which is what B is

Answer:

6.71

Step-by-step explanation:

Answer:6.27

Step-by-step explanation: 22.8 increased by 27.5%

27.5% × 22.8 = 6.27

27.5 ÷ 100 × 22.8 = 6.27

27.5 × 22.8 ÷ 100 = 6.27

627 ÷ 100 = 6.27

Answer:

d

Step-by-step explanation:

The multiplication property of one is an identity property

The expression is given as:

[tex]\mathbf{1 \times w \times 16}[/tex]

The multiplication property of one states that:

When one is multiplied by any number or expression, the number or expression remains unchanged.

So, we have:

[tex]\mathbf{1 \times w \times 16 = w \times 16}[/tex]

This property is also referred to as the identity property.

The general rule is represented as:

[tex]\mathbf{1 \times a = a}[/tex]

Examples are:

1 * 2 = 2

1 * x = x

1 * ab = ab

And so on

Hence, the multiplication property of one is an identity property

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Answer:

convert the grams to kg

500g = 0.5

100g = 0.1

divide cost by quantity

7.49 / 1 = 7.49$ per bag

3.99 / 0.5 = 7.98$ per bag

0.79/0.1 = 7.9$ per bag

the cheapest is $7.49 which is 1kg bag of flour for 7.49$, that will be your answer

Answer:

7/8

Step-by-step explanation:

There are 16 cards in total and 2 are brown - this means that 14 are not brown (9 blue cards + 5 yellow cards). Therefore the probability that the card is not brown is 14/16 which is 7/8 in its simplest form.

Hope this helps!

Answer:

y=6/5x-8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

Since we are already given the slope of the line, we can immediately plug it into the equation:

y=6/5x+b

Now we need to find b

Since the equation passes through the point (5, -2), we can use it to solve for b

Substitute 5 as x and -2 as y:

-2=6/5(5)+b

Multiply

-2=6+b

Subtract 6 from both sides

-8=b

Substitute -8 as b.

y=6/5x-8

Hope this helps!

Answer:

Wed: 4

Thurs: 32

Step-by-step explanation:

4 x 8 = 32

32 +4 =36

Answer:

The shortest distance from a point to a line is the perpendicular from the line to the point

The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;

-x + 2·y = 14

2·y = 14 + x

y = 14/2 + x/2 = x/2 + 7

y = x/2 + 7

The slope, m₁ = 1/2 and the y-intercept = 7

Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2

Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2

The equation of the line is therefore;

y - 5 = -2(x - (-1/4))

y - 5 = -2·x - 1/2

y = -2·x - 1/2 + 5 = -2·x + 9/2

y = -2·x + 9/2

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;

-2·x + 9/2 = x/2 + 7

9/2 - 7= x/2 + 2·x

-2.5 = 2.5·x

x = -2.5/2.5 = -1

x = -1

y = x/2 + 7 = -1/2 + 7 = 6.5

y = 6.5

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)

The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;

Where;

(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)

Plugging in the values, we have;

Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.

Step-by-step explanation:

(i) Given that { 1,4,9,16,...,100}

It can be written as { 1²,2²,3²,4²,5²,...10²}

Set builder form :-

⇛ A = {x:x = n², n≤10,n€N}

(ii) {a,e,i,o,u}

These are vowels in the English alphabet

Set builder form:-

⇛ B = {x:x is a vowel in English alphabet }

Answer:

The unit rate is -4

Step-by-step explanation:

For each increase of 1 unit in x there is a change of -4 in y