60 workers can complete a work in 21 days. How long will it take to complete the some work if 10 more workers were added?​

The radius of a sphere whose surface area is  324*pi cm² is:

R = 9 cm.

We know that the surface of a sphere of radius R is given by:

S = 4*pi*R^2

Where pi = 3.14

Here we know that a sphere has a surface of 324*pi cm², then we can write the equation:

S =  324*pi cm² = 4*pi*R^2

We can divide both sides by pi, so we get:

324 cm^2 = 4*R^2

Now we can solve that equation for R, we will get:

R^2=  (324 cm^2)/4 = 81cm^2

R = √(81 cm^2)

R = 9cm

The radius of the sphere is 9cm.

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Answer:

10 feet, option D

Step-by-step explanation:

Got it right on my test.

Answer:

hairy ball sack

Step-by-step explanation:

Answer:

x>8

Step-by-step explanation:

make the equation equal to -22 and get 8 and see if if it is less than or greater than

The distance between two points A and B is 5 units.

Answer:

Mean: 10.8

Median: 12

Mode: 13

Step-by-step explanation:

I hope this is what you were looking for! If you have and questions ask in the comments :D

The length of the median = 6[tex]\sqrt{3}[/tex]

If we call the longer base "a" and the shorter base "b", then we know that:

a:b = 2:1

Since the ratio of the four sides is 1:1:1:1, we know that the height, median and the longer base are all equal.

We can use that information to determine the area of the trapezoid. The formula for the area of a trapezoid is:

Area = (a + b) * h / 2

We know that the area is  27[tex]\sqrt{3}[/tex] and the height and median are equal, so we can set up the equation:

(a + b) * h / 2 = 27[tex]\sqrt{3}[/tex]

We also know that a:b = 2:1, so we can substitute that in:

(2b + b) * b / 2 = 27[tex]\sqrt{3}[/tex]

Simplifying, we get:

3b^2 = 54 * [tex]\sqrt{3}[/tex]

So the length of the median (h) is b

= [tex]\sqrt{(54 * \sqrt{3} / 3) }[/tex]

= 6[tex]\sqrt{3}[/tex]

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Answer:

To solve this problem we can construct an linear algebraic expression for each person, principally denoted as:

where

y :is our dependent variable (which is a function of )

x :is our independent variable

a :is the slope

c :is the y-intercept constant value (if any present)

Part A: Write a system of equations to represent the situation. Let x = hours and y = widgets.

Tamara

Has already made 20 widgets and produces at a rate of 8 widgets per hour thus here c=20 and a=8 , so Tamara's equation reads: yT=8x+20

Jason

Has not produced any widgets yet and produces at a rate of 12 widgets per hour thus here c=0 and a=12 , so Jason's equation reads:yj=12x

So the system of equations will be

yT=8x+20

yj=12x

Part B: How much time does it take for Tamara and Jason to produce the same number of widgets?

Since we want to find the amount of time (i.e. the value of x ) it takes for both of them to produce the same number of widgets we can just equate the two equations ans solve for x as follow:

yT=yj

8x+20=12x

8x-12x=-20

-4x=-20

x=5

So it takes them 5 hours to produce the same amount of widgets

Part C: How many widgets will Tamara and Jason have produced?

Now we can simply plug in the value of x=5 in any of the two equations (i.e. either for Tamara or Jason) to find the number of widgets produced.

yT=8(5)+20=40+20=60

So in a time-space of 5 hours Each will have produced 60 widgets and in total will be 60+60 = 120 widgets.

Step-by-step explanation:

mrk me brainliest i worked really hard on this plzzzzzzzzzzzzzzz

Answer:

alpha=cos^-1(0.6)

alpha=53°

sin(37+53)

=1

Answer:

Step-by-step explanation:

Since both sin θ and cos α have same value of 3/5 and both angles are in the I quadrant, the angles θ and α are complementary.

It means:

Answer:

a) 3

b) 16 Celsius

Answer:

A. -4°C

B. 16°C

Step-by-step explanation:

A. (-7°C)-(-3°C)= -4°C

Therefore Paris is -4°C colder than Malé.

B. 23+(-7°C)=16°C

Therefore the temperature in Rome is 16°C

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

Answer:

170.52 in

Step-by-step explanation:

The solution indicates 40 positive three-digit integers of this kind are available.

The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.

Left of zero on the number line, a negative number is an integer. It is not zero, though.

Any solution x will mod 23 will also have x+23n as a solution, for some integer n.

Since;

900/23 = 39 3/23,

we know:

There are 39 or 40 three-digit integers of this form.

As it happens,

100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,

hence 40 solutions to the equation.

The equation reduces, mod 23, to

10x = 11

Its solutions are x = 23n +8.

This shows There are 40 three-digit positive integers of this form.

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The first ferry's speed is 18.5 mph and the second ferry, which is slower, travels at 13.5 mph.

Let x represent the first ferry's speed.

The second, slower ferry's speed is then x-5 (since 5 miles per hour slower)

First ferry time equals distance/speed equals

50/x

Time spent on the second ferry:

50 / x - 5

The difference in times is 1 hour because the second ferry departs an hour earlier.

50 / x - 5 - 50/x = 1

50x - 50(x - 5) = x (x - 5 )

250 = x² - 5x

x² - 5x - 250 = 0

(x - 10 )(x + 5) = 0

x = 18.5 - 13.5

Speed can never be detrimental.

Therefore, the first ferry's speed is 18.5 mph.

and the second ferry, which is slower, travels at 13.5 mph.

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Answer:

i think it's a quadrilateral it's a rhombus.

Step-by-step explanation:

hope this helps

The number of hats that Leah had on Monday, given that half the hats were destroyed and four hats were bought, was, A. 22 hats.

If half the hats that Leah owns were destroyed on Wednesday such that only 13 hats were left, then it means that the total hats before the destruction, was :

= 13 hats x 2

= 26 hats

Seeing as Leah bought four hats on Tuesday, this means that the hats she had on Monday were :

= Total hats - Hats purchased on Tuesday

= 26 - 4

= 22 hats

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The probability that the other side of the card is red is [tex]\frac{4}{5}[/tex].

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood conditional, occurrence to determine the conditional probability.

Suppose you choose a red/black card:

The probability of choosing a red and black card is [tex]\frac{1}{6}[/tex].

Now, since this card has one side as red the probability of seeing a red side in this card is [tex]\frac{1}{2}[/tex].

Suppose you choose a red/red card:

The probability of choosing red and red card is 2/6.

Now, since the card has two red sides the probability of seeing red side in this card is [tex]\frac{2}{2}[/tex] .

Considering we see a single side of the card we have the following probability:

[tex]\frac{2}{6} * \frac{2}{2} = \frac{1}{3}[/tex]

The total probability of seeing a red side is [tex]\frac{1}{12} + \frac{1}{3} = \frac{5}{12}[/tex].

The probability that you pick red-red card and see a red side is [tex]\frac{1}{3}[/tex].

So, the conditional probability of both red sides is given as:

[tex]\frac{\frac{1}{3} }{\frac{5}{12} } = \frac{4}{5}[/tex]

Hence, the probability that the other side of the card is red is [tex]\frac{4}{5}[/tex].

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Since Bella takes 4,224 steps, and Ella takes 844.8 steps, they meet at 4,224 steps.

To determine this:

We can start by using the information given to find out how long it takes Bella and Ella to meet.

Since Ella rides 5 times faster than Bella walks, we can use the following equation to find out how long it takes each of them to cover the 2-mile distance:

Time (Ella) = Time (Bella) / 5

We can also use the distance formula to find out how long it takes Bella to cover the 2-mile distance:

Distance = Speed x Time

We know that Bella's speed is [tex]$2\frac{1}{2}$[/tex]  feet per step, and the distance between their houses is 10,560 feet. So:

10,560 feet = [tex]$2\frac{1}{2}$[/tex] feet/step x Time (Bella)

Solving for Time (Bella), we get:

Time (Bella) = 10,560 feet / [tex]$2\frac{1}{2}$[/tex] feet/step = 4,224 steps

Now we can use this information to find out how long it takes Ella to meet Bella:

Time (Ella) = Time (Bella) / 5 = 4,224 steps / 5 = 844.8 steps

And since Bella takes 4,224 steps, and Ella takes 844.8 steps, they meet at 4,224 steps.

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Yes the explanation satisfy the questions stated.

From the question, distance is said to be a function of time and the constant rate of change is 64.

y = 64x + 22

The above is in the form of a Linear equation:

y = mx + c

Where y = dependent variable (distance)

x = unrelated variable (time)

m = slope = time/distance

22 for c = constant.

m = constant rate of change = 64

If x (time) = 4

y (distance) = 278 miles

y = 64(4) + 22

y = 256 + 22

y = 256 + 22

y = 278 miles

Therefore the value of y is 278 miles.

The complete question is : Distance is a function of time. The constant rate of change is 64. Write

the equation Y=64x + 22. Substitute 4 in for x to get 278 miles,

Compare your response to the sample response above. Did your explanation

include that distance is a function of time?

include that the constant rate of change, or slope, is 64?

include the equation y = 64x + 22?

say to substitute 4 in for x to get 278 miles?

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Answer:

ly/3gVQKw3

Step-by-step explanation:

you can look on ly/3gVQKw3 Don't PRESS ON THAT LINK

According to triangle inequality theorem a triangle with two sides 7 units and 17 units, has a third side which measures 10 units.

What is Triangle Inequality Theorem?

According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

The two sides of a triangle are -

a=7, b=x and c=17, where a, b and c are the sides of the triangle.

As, 17 is a bigger number so let it be the biggest side.

Now, according to triangle inequality theorem -

a + b = c

7 + x = 17

x = 17 -7

x = 10

Therefore, the third side of the triangle measures 10 units.

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The height of a triangle can be found using the triangle area formula, which states that the area of a triangle is equal to (1/2) * base * height. Therefore, the height of a triangle can be found by rearranging the formula to height = (2 * area) / base.

To find the height of a triangle when the base is given, first use the triangle area formula, which states that the area of a triangle is equal to (1/2) * base * height. Next, rearrange the formula to height = (2 * area) / base so that the height can be found by dividing the area by the given base. Once the area is known, the height can be found by plugging the area and base into the rearranged formula. For example, if the base of a triangle is 8 and the area is 12, then the height of the triangle can be found by dividing 12 by 8, which is equal to 1.5. Therefore, the height of the triangle is 1.5.

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The probability that Andre, Olivia, and zack all win gift cards that are at least $25 is 1/4. Hence option C is the correct option.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

The wheel consists of 8 equal sections. Each section contains the price of a gift card. 4 sections contain a $5 gift card, 2 sections contain a $5 gift card, one section contains a $25 gift card, one section contains a $50 gift card.

To win at least $5, they have to get either $25 or $50.

Thus the number of outcomes of favorable event is 2.

Total number of outcomes is 8.

The probability to win at least $25 is 2/8

Divide denominator and numerator by 2:

2/8 = 1/4

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The value of x in the shape we have here is given as 18.7 cm

In this question we are to find the value of x using the values that we already have in the shape.

The base of the diagram has its length as 40 cm.

The shape is made up of two right angled triangles.

since the top of the shape is 26 m, the triangles would be gotten by

40 - 26 = 14

14 / 2 = 7cm

each rectangular base is therefore 7 cm

we have to solve for the value of x using the Pythagorean theorem

hence we would have:

7² + x² = 20²

49 + x² = 400

x² = 400 - 49

x² = 351

x = 18.7 cm

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The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is 3 and the y-intercept is 5, the equation of the line is y = 3x + 5.

The equation of a line is a mathematical expression of the form y = mx + b, where m is the slope and b is the y-intercept. This equation can be used to describe the relationship between the x-coordinate and y-coordinate of points on a line. In this specific equation, the slope is 3 and the y-intercept is 5, which means that the line passes through the point (0, 5) and has a slope of 3. Substituting 3 for m and 5 for b in the equation, we get y = 3x + 5, which is the equation of the line with a slope of 3 and a y-intercept of 5. We can use this equation to determine the y-coordinate of any given point on the line, provided we know the x-coordinate of the point. It is important to note that this equation is only applicable to straight lines, and not curves.

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A., 10 inches.

Hope this helps!

Answer:

False.

Step-by-step explanation:

It says Jacob walked to the store to get milk. The use of the word walked means it was past tense. He had already walked to the store.

Answer:

[tex]AB + A = 16[/tex]

Step-by-step explanation:

Given

[tex]12y^2 - 65y + 42 = (Ay -14)(By - 3)[/tex]

Required

Find [tex]AB + A[/tex]

[tex]12y^2 - 65y + 42 = (Ay -14)(By - 3)[/tex]

Expand

[tex]12y^2 -56y -9y + 42 = (Ay - 14)(By -3)[/tex]

Factorize

[tex]4y(3y -14) -3(3y - 14) = (Ay - 14)(By -3)[/tex]

Factor out 3y- 14

[tex](3y - 14)(4y -3) = (Ay - 14)(By -3)[/tex]

By comparison:

[tex]Ay - 14 = 3y - 14[/tex]

and

[tex]By - 3 = 4y - 3[/tex]

So, we have:

[tex]Ay - 14 = 3y - 14[/tex]

Add 14 to both sides

[tex]Ay = 3y[/tex]

Divide both sides by y

[tex]A = 3[/tex]

[tex]By - 3 = 4y - 3[/tex]

Add 3 to both sides

[tex]By = 4y[/tex]

Divide both sides by y

[tex]B = 4[/tex]

So, the expression [tex]AB + A[/tex] is:

[tex]AB + A = 3 * 4 + 4[/tex]

[tex]AB + A = 12 + 4[/tex]

[tex]AB + A = 16[/tex]

Answer:

C. 3,000÷15+75÷15=200+5

Step-by-step explanation:

I got this because 3075 ÷ 15 = 205. That whole equation is equal to 200+5. 200+5=205.

Hope it's correct cause I have the same question on a quiz !

Answer:30/15+75=2+5 B 30/15x75=2x5

Step-by-step explanation: Because i am a teacher so i know the answer

Answer:

x = 25

Step-by-step explanation:

(4x - 17) + 36 + 61 = 180

(4x - 17) + 97 = 180

4x - 17 = 83

4x = 100

x = 25

Have a nice day!

Answer:

x = 25

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4x - 17 + 61 + 36 = 180

4x + 80 = 180 ( subtract 80 from both sides )

4x = 100 ( divide both sides by 4 )

x = 25