Write a sentence about a real-life situation that matches the equation |-29|=29.

Answer:

x=30

Step-by-step explanation:

ratio: 8:10 as 24:x

8/10=24/x

10x * 8/10= 10x * 24/x

x * 8 = 10 * 24

8x = 240

8x/8 = 240/8

8x/8 = 30

x = 30

Answer:

35 - 45x

Step-by-step explanation:

-7(-5) + -7(8x) + 11x => 35 - 56x + 11x => 35 - 45x

Final answer:

To find the number of defective computer chips the company would expect out of the 36,000 chips they make each year, we can set up a proportion: 22 defective chips / 600 chips = x defective chips / 36,000 chips. Dividing both sides by 600, we find that x = 1,320. Therefore, we would expect approximately 1,320 of the 36,000 computer chips the company makes each year to be defective.

Explanation:

To find the number of defective computer chips the company would expect out of the 36,000 chips they make each year, we can set up a proportion:

22 defective chips / 600 chips = x defective chips / 36,000 chips

Cross-multiplying, we get 600x = 22 * 36,000

Dividing both sides by 600, we find that x = 22 * 36,000 / 600 = 1,320

Therefore, we would expect approximately 1,320 of the 36,000 computer chips the company makes each year to be defective.

Answer:

x = 4

Step-by-step explanation:

f(x) = I  x+1 I ​

when x = -5

f(-5) = I  (-5) +1 I

= I  -5+1 I ​

= |-4|

= 4

Answer:

substitute x for -5

f(-5)=|-5+1|

f(-5)=|-4|

however, absolute value is the distance from 0 and so is always positive since you cannot have negative distance.

so f(-5)=4

Answer:

B seems right

Step-by-step explanation:

Answer:

!. [tex]\displaystyle 23[/tex]

Step-by-step explanation:

Use the Distance Formula:

[tex]\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D \\ \\ \sqrt{[15 - 15]^2 + [-20 - 3]^2} = \sqrt{0^2 + [-23]^2} = \sqrt{0 + 529} = \sqrt{529} = 23[/tex]

Since we are talking about distance, we ONLY want the NON-NEGATIVE root.

I am joyous to assist you anytime.

Answer:

three angles measuring 109º, 25º, and 145º cannot create a triangle

three angles measuring 40º, 70º, and 65º cannot create a triangle

Step-by-step explanation:

Verify each dimensions

Part 1) three angles measuring 109º, 25º, and 145º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

[tex]109^o+25^o+145^o=279^o[/tex]

[tex]279^o> 180^o[/tex]

therefore

three angles measuring 109º, 25º, and 145º cannot create a triangle

Part 2) three sides measuring 9 m, 15 m, and 9 m

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 9+15 > 9 ---> is ok

2) 9+9 > 15 ---> is ok

therefore

three sides measuring 9 m, 15 m, and 9 m can create a triangle

Part 3) three angles measuring 40º, 70º, and 65º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

[tex]40^o+70^o+65^o=175^o[/tex]

[tex]175^o< 180^o[/tex]

therefore

three angles measuring 40º, 70º, and 65º cannot create a triangle

Part 4) three sides measuring 6 cm, 8 cm, and 10 cm

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is ok

2) 8+10 > 6 ---> is ok

3) 6+10 > 8 ---> is ok

therefore

three sides measuring 6 cm, 8 cm, and 10 cm can create a triangle

Answer:

its c i promise

Step-by-step explanation:

Answer:

x=-1539/445, y=1724/445. (-1539/445, 1724/445).

Step-by-step explanation:

y=9x+35

y=-8/9x+4/5

-------------------

9x+35=-8/9x+4/5

9x-(-8/9x)=4/5-35

9x+8/9x=4/5-175/5

81/9x+8/9x=-171/5

89/9x=-171/5

x=(-171/5)/(89/9)

x=(-171/5)(9/89)

x=-1539/445

y=9(-1539/445)+35

y=1724/445

Hey there!

To find the slope of the two points that you were given, use the slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

y2 is the y value of the second point pair, y1 is the y value of the first point pair, x2 is the x value of the second point pair, and x1 is the x value of the first point pair.

Now, plug in your values:

y2= 9

y1= 6

x2= 6

x1= 3

[tex]\frac{9-6}{6-3}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Therefore, the slope of the two points is 1.

Answer:

263.76

Step-by-step explanation:

To answer this question, we need to know the equation for surface area of a cylinder which can be given as Surface Area=2*pi*[tex]R^{2}[/tex]+2*pi*R*H, where R is the radius of the cylinder (also can be calculated as Diameter/2=6/2=3) and H is the height of the cylinder which is given as 11. Considering pi=3.14, the surface area of the cylinder can now be calculated as 2*3.14*[tex]3^{2}[/tex]+2*3.14*3*11=263.76.

Answer:

see explanation

Step-by-step explanation:

(a)

f(0)

Since x = 0 < 5, then

f(0) = x + 4 = 0 + 4 = 4

(b)

f(6)

Since x = 6 meets the condition 5 ≤ x < 7, then

f(6) = 8

Answer:

At 9pm Greta and Marge have collected the same amount  of money.

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours Greta and Marge are both collecting.

It is given that  Greta had already collected $45.00 till 11 am.

Greta = 45 + 15x

Marge collects money at a rate of $20 per hour.

Marge = 20x

Greta and Marge have collected the same amount  of money.

Thus,​

45 + 15x = 20x

45 = 5x

9 = x

Hence, once Marge starts collecting, it would take 9 hours to collect same amount of money.

9 hours after 11am is 8pm. It is given that there is a break time of 1 hour

Hence, at 9pm Greta and Marge have collected the same amount  of money.

10 small boxes and 11 large boxes were shipped.

Step-by-step explanation:

Given,

Total boxes shipped = 21

Total volume of shipped boxes = 342 cubic feet

Volume of each small box = 10 cubic feet

Volume of each large box = 22 cubic feet

Let,

Number of small boxes = x

Number of large boxes = y

According to given statement;

x+y=21     Eqn 1

10x+22y=342    Eqn 2

Multiplying Eqn 1 by 10

[tex]10(x+y=21)\\10x+10y=210\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](10x+22y)-(10x+10y)=342-210\\10x+22y-10x-10y=132\\12y=132[/tex]

Dividing both sides by 12

[tex]\frac{12y}{12}=\frac{132}{12}\\y=11[/tex]

Putting y=11 in Eqn 1

[tex]x+11=21\\x=21-11\\x=10[/tex]

10 small boxes and 11 large boxes were shipped.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

Answer:

the answer is 1

Step-by-step explanation:

X1=3 X2=7

Y1=-2 Y=r

M=y2-Y1/X2-X1

3/4=r-(-2)/7-3

3/4=r+2/4

Cross multiply

4(r+2)=4*3

4r+8=12

collect like terms

4r=12-8

4r=4

divide the by the co efficient of x

r=1

To find the missing coordinate “r” given two points on a line and the slope, we can use the slope formula. Using the given slope and the coordinates of the points, we can set up an equation to solve for the missing value of “r”. By solving the equation, we find “r” is equal to 1.

To find the missing coordinate r, we can use the slope formula. The slope m is given as 3/4, and the coordinates of the two points are (3, -2) and (7, r).

We can use the formula: m = (y2 - y1) / (x2 - x1) to find the missing value of r. Substituting the values, we have:

3/4 = (r - (-2)) / (7 - 3)

Solving for r:

3/4 = (r + 2) / 4

Multiplying both sides by 4:

3 = r + 2

Subtracting 2 from both sides:

r = 1

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Answer:

y=15x-6x^2

Step-by-step explanation:

3x+y/2x=15/2

y/2x=15/2-3x

y=2x(15/2-3x)

y=15x-6x^2

Answer:

$280

Step-by-step explanation:

Principal = $3,500

Time = 2 Years

Interest Rate = 4%

Interest = Principal x Time x Interest Rate

Interest = $3,500 x 2 x 0.04

Interest = $280

Answer:

Area [tex]=62.5\sqrt{6}[/tex] square units

[tex]AB=5\sqrt{15}[/tex] units

[tex]BC=5\sqrt{10}[/tex] units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

[tex]BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units[/tex]

a. The area of the triangle ABC is

[tex]A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.[/tex]

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

[tex]AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units[/tex]

Answer:

Step-by-step explanation:

y - 6 = b

y =  b + 6

Answer:

6+b=y

Step-by-step explanation:

If you plug in real values (y=8 and b=2) you can see that at first, you had y-6=b. Basically, 8-6=2. In order to find eight, you would need to reverse the equation to 6+2. The answer is 6+b=y.

The cost of one book is $6.

Step-by-step explanation:

Given,

Lizzie paid for 8 books = $50 bill

Alex paid for 3 books = $20 bill

As the both received same change.

Let,

x represent cost of one book.

y represent the change received.

According to given statement;

50-8x=y    Eqn 1

20-3x=y    Eqn 2

Putting value of y from Eqn 1 in Eqn 2

[tex]20-3x=50-8x\\-3x+8x=50-20\\5x=30[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{30}{5}\\x=6[/tex]

The cost of one book is $6.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

Answer:

x=-7

x=7

Step-by-step explanation:

we have

[tex]2x^{2}-98=0[/tex]

Solve for x

Adds 98 both sides

[tex]2x^{2}-98+98=0+98[/tex]

[tex]2x^{2}=98[/tex]

Divide by 2 both sides

[tex]2x^{2}/2=98/2[/tex]

[tex]x^{2}=49[/tex]

take square root both sides

[tex]x=\pm7[/tex]

therefore

The solutions are

x=-7

x=7

Answer:

0.43 liters = 430 milliliters

Step-by-step explanation:

There are 1000 milliliters in each liter so all you have to do is multiply 0.43 by 1000. :)

Answer:

0.43 liters = 430 milliliters

0.43 liters = 430 milliliters

Step-by-step explanation:

There are 1000 milliliters in each liter so all you have to do is multiply 0.43 by 1000. :)

Answer: [tex]6.9\ minutes[/tex]

Step-by-step explanation:

Let "x" represents the 16% of 43 minutes.

Once you analize the information given in the exercise, you can identify that 43 minutes is the 100%.

Then, with this data, you can set up the following proportion:

[tex]\frac{100}{43}=\frac{16}{x}[/tex]

Now you must solve for "x". The steps are:

- Multiply both sides of the equation by "x"

 [tex](x)(\frac{100}{43})=(\frac{16}{x})(x)\\\\\frac{100x}{43}=16[/tex]

- Multiply both sides by 43:

[tex](43)(\frac{100x}{43})=(16)(43)\\\\100x=688[/tex]

- Divide both sides by 100:

[tex]\frac{100x}{100}=\frac{688}{100}\\\\x=6.88[/tex]

- Rounding to the tenths place:

[tex]x\approx6.9[/tex]

B clearly because u would substitute the x and y with the ordered pairs

Answer:

[tex]7\dfrac{1}{9}\ m^2[/tex]

Step-by-step explanation:

If the length of the square side is a units, then the area of the square is

[tex]A=a^2\ un^2.[/tex]

In your case, the side length is

[tex]a=2\dfrac{2}{3}\ m,[/tex]

then the area is

[tex]A=2\dfrac{2}{3}\cdot 2\dfrac{2}{3}\\ \\ \\A=\dfrac{2\cdot 3+2}{3}\cdot \dfrac{2\cdot 3+2}{3}\\ \\ \\A=\dfrac{8}{3}\cdot \dfrac{8}{3}\\ \\ \\A=\dfrac{64}{9}\\ \\ \\A=7\dfrac{1}{9}\ m^2[/tex]

Answer:

m∠EAD =  29°

m∠CAB =  119°

Step-by-step explanation:

m∠EAD = 180 - 61 - 90 = 29°

m∠CAB = 180 - 61 = 119°

Answer:

90% of the questions she answered correctly

Step-by-step explanation:

%age = 81/90 * 100= 90 % correctness

Answer:

-3/4

Step-by-step explanation:

The least common denominator is 8.

So you make -3/4 into -6/8 by multiplying 2 in the numerator and denominator.

Now just compare them -6/8 compared to -7/8

-6/8 is bigger since it is closer to 0 (since we are dealing with negative numbers.)

Have a great day!