A soda company made 1,040,000 bottles of soda. The manufacturer tested 200 bottles and found that 32 have cracks. About how many of the bottles that were manufactured are likely to have cracks?
WHich answer is correct
A. 32
B. 163
C. 166,368
D. 166,400

Answer:

x = 7

Step-by-step explanation:

I used the formula c^2 = a^2 + b^2

if you need further explanation,let me know

Answer:

b = a + 13

Step-by-step explanation:

bc 1 + 13 = 14

Hope this helps !

Using proportions, it is found that the signed number -15 represents the team's total loss of yards on the 3 plays.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, in one play, the team lost 5 years, that is, the amount is -5. What is the amount on three plays? The rule of three is given by:

1 play - -5 yards

3 plays - n yards

Applying cross multiplication:

n = 3 x (-5) = -15.

The signed number -15 represents the team's total loss of yards on the 3 plays.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

4/9

Step-by-step explanation:

2/3 × 2/3 is 4/9

2×2 is 4 and 3×3 is 9

Answer:

36 is 9 times more than 4

Step-by-step explanation:

9 * ?? = 36

to find the unknown number we solve:

36/9 = 4

so 9 times 4 equals 36

means that 36 is 9 times more than 4

HOPE THIS HELPS :)

Answer:

4

Step-by-step explanation:

9x4=36. I corrected both the guys before me who messed up

Answer:

1/24

Step-by-step explanation:

1/2x1/2x1/6

"1/2" for which marble you choose

"1/2" for what the spinner lands on

"1/6" for what number the dice rolls

Answer:

Step-by-step explanation:

When the base of a logarithm is not specified, it is assumed that the base is 10. Therefore we have:

[tex]log_1_0(x^2-15)=log_1_0(2x)[/tex]

Intuitively you can see that if the two arguments inside of the logarithm equal each other, then both sides will be equal to each other. Therefore, you can say the following requirement:

[tex]x^2-15=2x[/tex]

Subtract 2x on both sides to get:

[tex]x^2-2x-15=0[/tex]

Use the quadratic formula to solve for 'x' to get:

[tex]x=(-b+\sqrt{b^2-4ac} )/2a[/tex]

[tex]x=(-b-\sqrt{b^2-4ac} )/2a[/tex]

Beginning with the first solution:

[tex]x=(-(-2)+\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]

[tex]x=2+\sqrt{4+60} )/2[/tex]

[tex]x=(2+\sqrt{64}) /2[/tex]

[tex]x=(2+8)/2[/tex]

[tex]x=5[/tex]

Second solution:

[tex]x=(-(-2)-\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]

[tex]x=(2-\sqrt{4+60} )/2[/tex]

[tex]x=(2-8)/2[/tex]

[tex]x=-6/2[/tex]

[tex]x=-3[/tex]

Since the 'x' value inside of the logarith is squared, the -3 is a valid solution. Ordinarily, the log function cannot take on negative values.

Answer:

40 weeks

Step-by-step explanation:

2 x 40 = 80

240-80=160

so for him to get under 175 it could be 40

i am so sorry if this is inccorect.

Answer:

[tex]\sf 343\dfrac{3}{4} \ mi[/tex]

1 inch = 125 miles

[tex]\rightarrow \sf 2\dfrac{3}{4} \ * \ 125[/tex]

[tex]\rightarrow \sf \dfrac{11}{4} \ * \ 125[/tex]

[tex]\rightarrow \sf \dfrac{1375}{4}[/tex]

[tex]\rightarrow \sf 343\dfrac{3}{4} \ mi[/tex]

Answer:

Option A

Step-by-step explanation:

Given:

To avoid confusion, let's convert 2 3/4 into decimals. To convert a fraction into decimals, multiply and divide the fraction by 100.

⇒ (2 3/4 x 100)/100 = (11/4 x 100)/100 = (1100/4)/100 = 275/100 = 2.75

Now, multiply 2.75 to both sides of the equation "1 inch = 125 miles", as we need to find the actual distance of 2.75 inches

⇒ 1 inch = 125 miles

⇒ 1 × 2.75 = 125 × 2.75

⇒ 2.75 inches = 343.75 miles

The options given are in fraction form. So, we need to reconvert 343.75 into fraction form. Once again, multiply and divide the decimal by 100.

⇒ (343.75 × 100)/100 = (34375)/100

We can clearly tell that this is a mixed fraction because 34375 is greater than 100. To convert this fraction into mixed fraction, let's write the expanded form of this fraction.

⇒ (34375)/100 = 34000/100 + 300/100 + 75/100

⇒ (343 x 100)/100 + 75/100

⇒ 343 + 75/100 = 343 + 3/4

⇒ 343 3/4 miles (Option A)

Answer:some where from 65-75 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

v = 1/3* L * w * h

1024 = 1/3 * 16 * 16 * height

1024 = 85.3333333 * height

divide both sides by 85.3 to isolate height = 12 cm

check your work

1024 = 1/3 * 16 * 16 * 12

1024 = 1024

yes they equal so its correct

Answer:

Subtract 3 from both sides.

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

I know I`m late sorry, still wanted to answer

. _ .

Answer:

First option

Step-by-step explanation:

Given the following question:

[tex]x+3=5[/tex]

To find the answer we need to subtract three on both sides, since we are given a positive three ( + 3) instead of a negative three (- 3) If the equation was " x - 3 = 5 " we would then add three on both sides but in this case we have a positive three.

[tex]x+3=5[/tex]
[tex]3-3=0[/tex]
[tex]5-3=2[/tex]
[tex]x=2[/tex]

Which means your answer is the first option or "subtract 3 from both sides."

Hope this helps.

Answer:

Step-by-step explanation:

The sides of the triangle in the middle are equal to x so tis is equilateral triangle.

Its interior angle is 60°.

Each shaded part is the area of 60° segment of circle with the radius x.

The area of each segment is the difference between 60° sector and the area of triangle.

Area of sector

Area of triangle

The shaded area is

Answer: D

Step-by-step explanation:

Answer:

24 years old

Step-by-step explanation:

let x = age of abraham, y = age of sylvia

x = 3y

x + 8 = 2y+16 => (2(y+8))

3y + 8 = 2y + 16

y = 8

x = 3(8)

x = 24

Answer:

1a) h = 2

1b) "h" represents the amount of hours the electrician worked, so the electrician worked two hours. "60" represents the cost per hour. "20" represents the beginning service fee. "140" represents the total cost in the end.

2a) This impacts the meaning because instead of the equation, meaning that the customer of the electrician payed exactly $140, it is turned into an inequality, which means the customer payed $140 at most.

2b) The electrician charges a $20 service fee, plus $60 per hour for electrical repairs. The customer payed $140 at most. This is shown with the following equation: 60h + 20 < 140

Step-by-step explanation:

60h+20=140

60h=120

h=2

★ 1st solve the given equation to find value of "s".

[tex]\sf{⇝4s+3=63} \\ \\ \sf{⇝arranging \: terms} \\ \\ \sf{⇝4s=63-3} \\ \\ \sf{⇝4s=60} \\ \\ \sf{⇝s=\cancel\frac{60}{4}} \\ \\ \sf{⇝s=15} \\ \\ [/tex]

★ substituting s= 15 to check whether the equation is true or not?

★ hence,the above equation is true !

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

0.48 litres

Step-by-step explanation:

let the large bottles be x and small bottles be y

4x + 6y = 6.8

x = 0.5 + y

so substituting x in equation 1:

4(0.5 + y) + 6y = 6.8

2 + 4y + 6y = 6.8

10y = 4.8

y = 0.48

Answer:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a and b are legs, c is the hypotenuse

[tex]9^{2}[/tex] + [tex]11^{2}[/tex] = [tex]c^{2}[/tex]

81   + 121 = [tex]c^{2}[/tex]

202 = [tex]c^{2}[/tex]     ( square root each side  [tex]\sqrt{202}[/tex]

14.2126704036   = c

c = 14.2

The tangent line DC is perpendicular to the radius of the park

The length of AC is 245 feet

To calculate the distance AC, we start by calculating the length of AB using:

DC^2 = (BC + AB) * BC

So, we have:

105^2 = (45 + AB) * 45

Evaluate the exponent

11025 = (45 + AB) * 45

Divide both sides by 45

245 = 45 + AB

Rewrite as:

AB + 45 = 245

From the figure, we have:

AC = AB + 45

Substitute AB + 45 = 245

AC = 245

Hence, the length of AC is 245 feet

Read more about line of tangents at:

https://brainly.com/question/6617153

Answer:

The surface area is 301.4ft

Step-by-step explanation:

To find the surface area of a circular pool, you multiply the diameter and depth and then multiply by 3.14.

24*4 = 96

96*3.14 = 301.44

Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.

======================================================

Rational numbers between -1/7 and 2/7 : -

Make a number line and find the numbers between the two given numbers.

Given -

i.e, length = 2cm, breadth = 4cm and height = 6cm

i.e, side = 2cm

To find -

Concept -

To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,

Volume of Rectangular Box = l × b × h

Volume cube = a³

where,

Solution -

[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]

[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]

Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.

Answer:

5

Step-by-step explanation:

Answer:

92 boys

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

42 boys

Step-by-step explanation:

Represent the number of boys with 'b' and that of girls with 'b + 23.'

Then b + (b + 23) = 207.

Simplifying, we get 2b =   84, so that b is 42.  There are 42 boys and

(42 + 23) girls, or 65 girls.

Answer:

23/42

Step-by-step explanation:

2/7 = 12/42

1/6 = 7/42

12/42 + 7/42 = 19/42

42/42 - 19/42 = 23/42

Answer:

35.64 km / hour

Step-by-step explanation:

100m = 10.1s

100/10.1 m per second

3600 seconds in a hour

100/10.1 X 3600 = 35643.56436

= 35.64356436 km per hour