Use the distributive property to write an expression that is equivalent to each given property.
-3(2x-4)
0.1(-90+50a)
-7(-x-9)
4/5(10y-x+-15)

We have expression [tex]-5 < x - 4 \geq 1[/tex] that renders the system of inequalities,

[tex]

\begin{cases}

-5 < x - 4 \\

x - 4 \geq 1

\end{cases}

[/tex]

Which can be simplified to,

[tex]

\begin{cases}

x > -1 \\

x \geq 5

\end{cases}

[/tex]

So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,

[tex]x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}[/tex].

Hope this helps.

Answer:

2n + 25

Step-by-step explanation:

Cost of pumpkin (C) = 3n + 25

Revenue (R) I.e selling price = 5n

Her profit (P) = Selling price (R) - cost price (c)

P = R - C

P = 5n - (3n + 25)

P = 2n - 25

The expression for her profit (p) = 2n - 25

Answer:

P = 2n – 25

Step-by-step explanation:

:)

Answer:

16x -20

Step-by-step explanation:

12(x - 4) + 4(x + 7)

12x - 48 + 4x +28

16x - 20

Answer:

16x - 20

Step-by-step explanation:

Given

12(x - 4) + 4(x + 7) ← distribute both parenthesis

= 12x - 48 + 4x + 28 ← collect like terms

= 16x - 20

Answer:

101

Step-by-step explanation:

Answer:

The correct answer is 71.

Answer:

15

Step-by-step explanation:

Square root of 5=√5

Square of the square root=(√5)^2

=5

Square root of 3=√3

Square of the square root=(√3)^2

=3

So (square root of 5)^2×(square root of 3)^2

5×3

15

Therefore the final answer is 15

Answer:

114°

Step-by-step explanation:

By property of intersecting chords inside a circle.

[tex] \because \angle \: 1 = \frac{1}{2} (x + y) \\ \\ \therefore \: \angle \: 1 = \frac{1}{2} (96 + 132) \\ \\ \therefore \: \angle \: 1 = \frac{1}{2} \times 228\\ \\ \huge \red { \boxed{\therefore \: \angle \: 1 = 114 \degree}}[/tex]

Answer:

[tex]8 + 46p[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]1 + 46p - 9[/tex]

[tex](1 - 9) + 46p[/tex]

[tex]8 + 46p[/tex]

Answer:  [tex]8 + 46p[/tex]

You can also pull out a two from both

[tex]8 + 46p[/tex]

[tex]2(4 + 23p)[/tex]

Answer:

816.4

Step-by-step explanation:

i multiplied 65,4 and 3.14 to get 816.4

Answer:

(a)Initial Number of Bacteria=600

(b)[tex]\text{Number of bacteria after 5 days}=19200[/tex]

Step-by-step explanation:

Given an initial number  [tex]b_0[/tex] of bacteria in a petri dish, and each bacteria splits into 2 bacteria after one day.

The function [tex]b(d) = 600 \cdot 2^d[/tex] models  the number of bacteria, b after d days.

Part A

Given  [tex]b(d) = 600 \cdot 2^d[/tex]

When d=0,

The initial number of bacteria in the petri dish,

[tex]b_0=b(0) = 600 \cdot 2^0=600[/tex]

Part B

After 5 days, when d=5

[tex]b(5) = 600 \cdot 2^5=600 \cdot 32\\\text{Number of bacteria after 5 days}=19200[/tex]

Answer:

-5 > -7

-2 < 2

-10 < -3

-9 < 2

5 > -9

Step-by-step explanation:

please give me brainliest

Answer:

For both graph I would choose the following points: 0°, 90°, 180°, 270° and 360°. I would connect the points (in both cases) with an smooth arc.

Step-by-step explanation:

x          sin(x)     cos(x)

0°        0            1

90°      1             0

180°     0           -1

270°    -1            0

360°    0            1

Answer:

19 weeks

Step-by-step explanation:

Make an equation

120+20x=500

Subtract 120 on both sides

20x=380

Divide by 20 on both sides

x=19

Hope this helps!

Answer:

14x-19

Step-by-step explanation: Now can someone answer my question look at my page

Answer: 9

Step-by-step explanation:

Answer:

If your solving for y...

The answer would be: y = -9/8x + 17/8 I believe.

For the second one... it would be : y = -1/7x + 8/7

Step-by-step explanation:

Answer:

[tex]9\pi[/tex] sq. units.

Step-by-step explanation:

It is given that a circle has a sector with area [tex]\frac{1}{2}\pi[/tex] and central angle of [tex]\frac{1}{9}\pi[/tex] radians.  

We know that, the area of sector is

[tex]A=\dfrac{1}{2}r^2\theta[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute the values of A and [tex]\theta[/tex].

[tex]\dfrac{1}{2}\pi=\dfrac{1}{2}r^2(\dfrac{1}{9}\pi)[/tex]

[tex]1=r^2(\dfrac{1}{9})[/tex]

[tex]9=r^2[/tex]

[tex]3=r[/tex]

The radius of the circle is 3 units.

So, the area of circle is

[tex]A=\pi r^2[/tex]

[tex]A=\pi (3)^2[/tex]

[tex]A=9\pi[/tex]

Therefore, the area of circle is [tex]9\pi[/tex] sq. units.

Answer:

Picture #1: x=16 ; y=10

Picture #2: x=21 ; y=15

Picture #3: x=18

Step-by-step explanation:

Picture #1:

(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.

Picture #2:

(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.

Picture #3:

(7x-6)* and (4x-7)* are supplementary so they equal 180*.

Answer:

15-4 11 -4x

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Hope this helps!

Answer:

i think A

Step-by-step explanation:

Answer:

y = -1/4x -2

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = -1/4x +b

Substitute the point into the equation

-3 = -1/4(4) +b

-3 = -1 +b

Add 1 to each side

-3 +1 = -1 +1 b

-2 =b

y = -1/4x -2

Answer:

25 and 15

You can easily make a system of equations:

x + y = 40

x - y = 10

Solving for x on equation 2 gets x = 10 + y.

Plugging in this into the first equation, you get 10 + y + y = 40

Thus, 10 + 2y = 40

y = 15.

Plugging this back into either equation gets x = 25.

From the given set of fractions, 13/16 is the largest fraction.

The given set of fractions are 13/16, 3/4, 7/10, and 5/8.

We need to check which of the given fractions is the largest.

To order fractions from least to greatest, start by finding the lowest common denominator for all of the fractions. Next, convert each of the fractions by dividing the lowest common denominator by the denominator and then multiplying the top and bottom of the fraction by your answer.

Now, the LCM of denominators of the fractions is as follows:

16, 4, 10 an 8 LCM= 2×2×2×2×5=80

Make the denominators equal to LCM.

That is, 65/80, 60/80, 56/80, and 50/80

Here, 65/80 is the largest, since the numerator is the greatest number.

Therefore, from the given set of fractions 13/16 is the largest fraction.

To learn more about the order of fractions visit:

https://brainly.com/question/2909411.

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Answer:

Base

Step-by-step explanation:

To give an example, in the expression [tex]10^6[/tex], 10 is our base and 6 is our exponent or power.

Final answer:

The gradient of the line perpendicular to a line with a gradient of 2/3 is -3/2 since perpendicular slopes are negative reciprocals of each other.

Explanation:

If the gradient of a line C is 2/3, we need to find the gradient of the line which is perpendicular to C. In mathematics, particularly in coordinate geometry, the slopes (or gradients) of two perpendicular lines are negative reciprocals of each other. This means that if the slope of the first line is m, the slope of the line perpendicular to it will be -1/m.

Therefore, the gradient of the line perpendicular to line C, which has a gradient of 2/3, will be the negative reciprocal of 2/3.

perpendicular = -1 / (2/3) = -3/2

So, the gradient of the line perpendicular to C is -3/2.

Answer:11

Step-by-step explanation:

Because I said so

Answer:

A

Step-by-step explanation:

he side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.

Explanation of Cosine 60 = Sine 30

Cosine :

The trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.

Sine :

The trigonometric function that is equal to the ratio of the side opposite a given angle (in a right-angled triangle) to the hypotenuse.

So, these are the reasons :

⇒ The side opposite a 30 degree angle is the same as a side adjacent to 60 degree angle in a right triangle.

⇒  On a unit circle, the y (sin) distance of a 30 degree angle is the same as the x (cos) distance of a 60 degree angle.

Learn more about  Cosine and Sine here :

brainly.com/question/19559760

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Answer:

8

Step-by-step explanation:

Answer:

5.8 and 7.4

Step-by-step explanation: