ted, sam, and jack can do a piece of work in 15, 12 and 20 days respectively. they started the work together, but jack left after 2 days. in how many days will the remaining work be completed by ted and sam?

Answers

Answer 1

Answer:

the answer was 24

Step-by-step explanation:

Answer 2
We can answer with fractions:

1/10 (Jack’s time) +x/15+x/12=1

Then we multiply everything by 15.

1 1/2+x+ 1 1/4x=15

Then we simplify:

2 1/4x=13 1/2

Then we divide both sides by 2 1/4x

x=6

1/10+2/5+1/2=1/10+4/10+5/10=1

So Ted and Sam will take 4 remaining days to finish the work. (6 total days including Jack minus the 2 days he spent working gets you 4 days with just Ted and Sam).

I hope this helps!

Related Questions

Activity

In the earlier Lesson Activity, you found the sizes of mesoplankton and jellyfish. In this activity, you'll determine the most appropriate units for.

measuring the sizes of mesoplankton and jellyfish.

Part A

Earlier, you found the size of a mesoplankton to be 2 x 102 meter. Do you think that meters are the most appropriate unit to represent the size

of a mesoplankton? If not, what do you think would be the most appropriate unit? Write the size of a mesoplankton in the most appropriate unit.

Answers

Answer:

No.

The most appropriate unit to measure the mesoplankton is centimeter.

The size is 2 cm.

Step-by-step explanation:

Earlier, you found the size of a mesoplankton to be [tex]2 \times 10^{-2}[/tex] meter.

I think that meters are not the most appropriate unit to represent the size of a mesoplankton.

The most appropriate unit to measure the mesoplankton is centimeter.

Now, 1 meter is equivalent to 100 centimeters.

So, the size of the mesoplankton in centimeter units will be [tex]2 \times 10^{-2} \times 100 = 2[/tex] cm. (Answer)

Final answer:

Meters are not the most appropriate unit for the size of a mesoplankton; millimeters are more suitable considering the small size of these organisms. The size 2 x 10² meters seems to be a typo and should likely be a much smaller value, such as 2 millimeters.

Explanation:

No, meters are not the most appropriate unit to represent the size of a mesoplankton. Considering that a mesoplankton is quite small, much smaller than objects like a piece of paper or a human's wingspan, using meters would not provide a practical or convenient measurement scale.

Since mesoplankton are small, it is important to think about units that are suitable for measuring very small objects. Given the metric units millimeters and centimeters are the next best alternatives. In this case, centimeters, being smaller than meters are a better match for the size of mesoplankton, but even centimeters might be too large.

Therefore, the most appropriate unit of measurement for the size of a mesoplankton is likely to be in millimeters. Therefore, 2 x 10^2 meters (200 meters) appears to be a typo, as mesoplankton would typically measure less than 2 centimeters. Assuming the intended measurement was supposed to be much smaller, converting to millimeters would be the best approach. An actual mesoplankton might measure around 2 millimeters, though this is just an example since the original measurement given seems incorrect.

Which system of equations below has exactly one solution? y = –8x – 6 and y = –8x + 6 y = –8x – 6 and One-halfy = –4x – 3 y = –8x – 6 and y = 8x – 6 y = –8x – 6 and –y = 8x + 6

Answers

Answer:

y = –8x – 6 and y = 8x – 6

Step-by-step explanation:

-8x - 6 = 8x - 6

16x = 0

x = 0

y = 8(0) - 6 = -6

The only solution is (0,-6)

Answer:

C  is  the answer

Step-by-step explanation:

What must be subtracted from a3b+6a2b2 -7ab+4 to get -7a2b2+2a3b+6ab-1?

Answers

[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]

Step-by-step explanation:

Let x be the expression, we have to find must be subtracted from the given expression, to get the answer.

Now we have to combine the like terms, before that we have to move x from LHS to the RHS , so that we will get the required expression.

[tex]a^{2} b+6 a^{2} b^{2}-7 a b+4-x=-7 a^{2} b^{2}+2 a^{2} b+6 a b-1[/tex]

[tex]a^{3} b+6 a^{2} b^{2}-7 a b+4+7 a^{2} b^{2}-2 a^{3} b-6 a b+1=x[/tex]

Now arranging the like terms as,

[tex]\begin{array}{l}a^{3} b-2 a^{3} b+6 a^{2} b^{2}+7 a^{2} b^{2}-7 a b-6 a b+4+1=x \\-a^{3} b+13 a^{2} b^{2}-13 a b+5=x\end{array}[/tex]

So the expression is "[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]"

(-2h3n2)(-5h2n2)
How

Answers

Answer: 9h x 8n^2

we rearrange this underneath the question (-5h-2h) (2nx3n)(2+2) or if 2^2 see explanation. It must therefore be 7h6n4

Step-by-step explanation:

if its ^2 )(power2) then the second reasonable answer is (7h-2h)(2n^2 x 2n^2)=9h x 4n^2 x4n^2 =9h 8n^2 or 17hn^2 but i leave as 9h 8n^2

You can expand only if multiplying 9hx4 for example but not combine the letters. The questions that ask you to mix are much different to this. but if you want to add them 9h+8n^2 =17hn^2

PLS HURRY IN A TEST!!!
Based on the graph, which of the following statements are true? Select all that apply.
A. When Jonah babysits one hour, he earns $7.50.
B. Jonah earns $20 to babysit 5 hours.
C. The equation e = 4h can be used to describe this situation.
D. The number of hours Jonah works depends on how much he earns.

Answers

B. Jonah earns $20 to babysit 5 hours.

D. The number of hours Jonah works depends on how much he earns.

Hope this helps you!

plz give me brainliest :(

The remainder of 3x^3 + 4x+ 5 / x + 3 is

Answers

Answer:

Step-by-step explanation:

is -7

If you wouldn’t mind helping me I would greatly appreciate it. I’ve been having trouble on problems like this, and I have no one around to help, so I would be extremely grateful if you took the time out of your day to help me.

Andrea makes and sells anklets. She will discount the regular selling price of the anklets 60% this weekend. Which value is equivalent to this percent?
A. 3/5
B. 3/10
C. 6/8
D. 6/100

Answers

A.3/5 jehevdhe egecsgcsg feud

how to find area of polygon please explain

Answers

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothegm. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothegm = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Here's some EZ Points

Answers

Answer:

ye  thats cool

Step-by-step explanation:

i just did

Answer:

its the 3rd image

Step-by-step explanation:

In factored form, y = a (x - p) (x – q) we are able to see what important
point(s)?

Answers

[tex]y= a(x-p)(x-q)[/tex]

Answer:

       The x-intercepts

[tex]y[/tex] can only be [tex]0[/tex], if either [tex]x=p[/tex], or [tex]x=q[/tex]...

so, the parabola must have the points [tex]\left(p,0\right)[/tex] and [tex]\left(q,0\right)[/tex]

The circumference of a circle is 8π cm. What is the circle's area? 32 π cm 2 16 π cm 2 8 π cm 2 64 π cm 2

Answers

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

we know that the formula for finding area of circle is A=[tex]\pi[/tex]r^2. and circumference of circle can be calculated by c=2[tex]\pi[/tex]r.

first we need find radius from circumference formula and put in area formula to get the desired result.

for radius, r=c/2[tex]\pi[/tex] =8[tex]\pi[/tex]/2[tex]\pi[/tex] we get 4. now put in area formula as shown above.

we get , A=[tex]\pi[/tex]*(4)^2 =[tex]\pi[/tex]*4*4 =16[tex]\pi[/tex]

Answer:

The answer is B 16

Step-by-step

Sarah has a bag of 50 skittles, some are red and some are yellow. Sarah randomly pulls a skittle out of the bag and records it, and returns it back to he bag.so far she has recorded 8 reds and 12 yellows.based on these results what is the MOST likely numbers of reds in the bag?

Answers

Answer:

20

Step-by-step explanation:

Assume n is the number of times she pick a skittle out of the bag

The probability she pick out red : 8/n

The probability she pick out yellow : 12/n

=> The ratio of red and yellow skittle : 8/n : 12/n = 8/12 = 2/3, means every 2 red skittles we have 3 yellow ones.

But we have 50 skittles, so the likely numbers of reds in the bag is = 2*[tex]\frac{50}{5}[/tex] = 20

Solve for n
5n - 3 = 17

Answers

Answer: n=4

Step-by-step explanation:

1) add 3 to both sides: 5n=20

2) divide by five on both sides: 5n/5 and 20/5

3) answer n=4

Answer:

17+3=20

20/5 = 4

5(n)-3 + 17

5(4) - 3 = 17

20-3 = 17

n = 4

Step-by-step explanation:

What is 183 for 4 as a unite rate

Answers

Answer:

45.75

Step-by-step explanation:

183/4=45.75.

Answer:

=45.75

Step-by-step explanation:

This is a fraction equal to

183 ÷ 4

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

182

÷ 4

4

÷ 4

=

45.75/1  

=

45.75  

= 45.75  

Katie has 6500 in her savings account. If it earns 6% interest every month how much savings does she have in her account in over half a year

Answers

Step-by-step explanation:

First, you recognize the algorithm for the equation: A=P(1+r)^n. This is the algorithm for interest. P is the amount of initial money (in this case, 6500), r is the interest rate (6%, or 0.06), and n is the number of times it is being compounded. Since half a year is given to me, 6 months is what I will be using, or just 6.

Next, plug in the numbers. The equation is now: A=6500(1+0.06)^6.

Now time to solve. First add what's in the parenthesis, and put it to the power of 6, for 6 months. Then multiply that amount to the initial dollar amount; 6500. This will leave you with 9,220.37.

what is the volume of this sphere? use 3.14 for pi and round to the nearest hundredth when necessary.

diameter is 12 cm.​

Answers

The volume of the sphere is 900 cm³

Step-by-step explanation:

Step 1: Given the diameter of the ball = 12 cm. Find radius.

Radius = diameter/2 = 12/2 = 6cm

Use the formula for volume of a sphere to find the volume.

Volume of the ball = 4/3 πr³

                              = 4/3 × 3.14 × (6)³

                              = 904.32 cm³ ≈ 900 cm³ (nearest hundredth)

^^^!!! 25 pOinTs (seriously help)

Answers

Answer:

A)   Θ = 2A/r²

Step-by-step explanation:

A = Θr²/2

(Multiple both sides by 2)

2A = Θr²

(Divide both sides by r²)

2A/r² = Θ

What are the x-intercept and vertex of this quadratic function?
g(x)=-5(x – 3)^2

Answers

There is only one X-Intercept at (3,0)
and the vertex happens to be at the same Coordinate (3,0)

Write the equation that describes the sequence 20, 28, 36, 44,...

Answers

Equation is a(n) = 12 + 8n

Step-by-step explanation:

Step 1: This is an Arithmetic Sequence with first term (a) = 20 and common difference (n) = 28 - 20 = 8. Find the equation using the expression for nth term.

a(n) = a + (n -1)d

a(n) = 20 + (n - 1)8

      = 20 + 8n - 8

      = 12 + 8n

∴ Equation is a(n) = 12 + 8n

Answer:

12+8n

Step-by-step explanation:

This is sequence and series

Using the formula,a+(n-1)d

a means the first number

n means the number of progression

d means the difference

a=20

n=?

d=8

Apply the formula

=20+(n-1)8

=20+(8n-8)

=20+8n-8

=20-8+8n

=12+8n

The arithmetic equation is 12+8n

Algebra 1, Section 7.09

Answers

Answer:

b. 4

Step-by-step explanation:

Given f(x) = 4x - 4 and g(x) = x - 1, we can find (f/g)(x) by dividing f(x) by g(x):

(f/g)(x) = (4x - 4)/(x - 1)

Now, substituting x = -4 into the expression

(f/g)(-4) = (4*(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4

Therefore, the correct answer is b. 4.

Given the function g(x) = x - 1, let's solve (f/g)(-4) using the function f(x) = 4x - 4.

To find (f/g)(-4), we need to evaluate the expression (f(x)/g(x)) at x = -4.

First, let's find the value of f(x)/g(x) for any x:

(f/g)(x) = f(x)/g(x) = (4x - 4)/(x - 1)

Now, substituting x = -4 into the expression:

(f/g)(-4) = (4(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4

Therefore, the correct answer is b. 4.

Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 y - 2x = 8 Question 4 options: (−1/2, 7) (12/8,11) (9/6,5) (3, 14)

Answers

Option D: [tex](3,14)[/tex] is the point of intersection of the two lines.

Explanation:

The two equations are [tex]y-6 x=-4[/tex] and [tex]y-2 x=8[/tex]

We need to find the point of intersection of the two lines.

Thus, let us solve the equation by substitution method.

From the equation [tex]y-6 x=-4[/tex], we shall determine the value of y, by adding both sides of the equation by 6x.

Hence, we have, [tex]y=6x-4[/tex]

Now, substituting [tex]y=6x-4[/tex] in the equation [tex]y-2 x=8[/tex] , we get,

[tex]6x-4-2 x=8[/tex]

       [tex]4x-4=8[/tex]

             [tex]4x=12[/tex]

               [tex]x=3[/tex]

Substituting [tex]x=3[/tex] in the equation [tex]y-6 x=-4[/tex], we get,

[tex]y-2 (3)=8[/tex]

   [tex]y-6=8[/tex]

         [tex]y=14[/tex]

Thus, the point of intersection of the two lines is [tex](3,14)[/tex]

Therefore, Option D is the correct answer.

what is 10 times as much as 400

Answers

Answer:

Your answer would be 4000.

The only step needed:

Multiply 400 by 10.

400 ---> 400×10 ---> 4000

Hope this helps, :)

what is the value of z?

Answers

I believe it is 94, because of the exterior angle theorem

Formative exit ticket #2
Venus is approximately 67,000,000 miles from the Sun. Earth is approximately
26,000,000 miles from Venus. Approximately how many miles is Earth from the
Sun?

Answers

Answer:

92.768 million mi

Step-by-step explanation:

Answer:

Approximately 93 million.

Step-by-step explanation:

If Venus is 67 million miles from the sun, and Earth is 26 million miles from Venus, then you would need to add the distance from Earth to Venus to the distance from the sun to Venus

67,000,000 + 26,000,000 = 93,000,000

A utility pole is supported by two wires, one on each side, going in the opposite direction. The two wires form a 75-degree angle at the utility pole. if the wires are 12 meters and 16 meters long and secured to the ground, find the distance between the wires on the ground.


(Cosines problem)

Answers

Answer:

The required distance is 17.34 meters.

Step-by-step explanation:

The lengths of the two wires are 12 meters and 16 meters. and the angle between the wires is 75°.

Now, we have to calculate the distance between the wires on the ground.

Therefore, we have to calculate the length of the side which is the opposite side of angle 75° of the triangle formed by the wires and the ground.

Applying the formula of properties of the triangle, if the length required is x, then

[tex]\cos 75^{\circ} = \frac{12^{2} + 16^{2} - x^{2}}{2 \times 12 \times 16}[/tex]

⇒ 99.38 = 144 + 256 - x²

x = 17.34 meters. (Answer)

simplify the numerical expression 5-2+12÷4​

Answers

it is 3r.75 it totally right

Answer:

6

Step-by-step explanation:

Just remember the order of operations (PEMDAS)

5 - 2 + 12 / 4, first divide

5 - 2 + 3, then proceed from left to right

3 + 3 = 6

A circle has a radius of 13 inches.
Which equation can be used to find the diameter of this circle?
od=21(13)
ed= }(13)
od=2(13)
d=13²
Please help me!

Answers

Answer:

od=2(13)

Step-by-step explanation:

Diameter of a circle is two times of its radius.

Answer: It wouldn’t be 13 to the second power you have to divide 13 by 2 then do that by the second power 13/2=6.5 than 6.5 to the second power so it would be 13x3.14=40.82

Step-by-step explanation:

What is the volume of the rectangular prism?

Answers

Answer:

144 ft cubed

Step-by-step explanation:

Multiply 576 by 1/4.

576 x 1/4 = 144

Answer:

[tex]9ft^{3} [/tex]

Step-by-step explanation:

If each cube has an edge length of 1/4;

[tex] \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} [/tex]

Each cube has a volume of 1/64 feet cubed. Now, multiply by 576.

[tex] \frac{1}{64} \times \frac{576}{1} = \frac{576}{64} [/tex]

[tex]576 \div 64 = 9[/tex]

The rectangular prism has a volume of 9 feet cubed.

Determine the common ratio and find the next three terms of the geometric sequence.
i, -1, -i, ...
a.
i; 1, i, -1
c.
-i; -1,- i, 1
b.
i; -1, -i, 1
d.
-i; 1, i, -1


Please select the best answer from the choices provided

A
B
C
D

Answers

B because the negative one is positive by the i which means there the reason I don’t

Answer:A

Step-by-step explanation:

If Bart has 20$ and Andy took $19.65 how much does Bart have

Answers

Answer:

well bart has 20.00

andy took      19.65

Step-by-step explanation:

subtract [tex]20.00\\-19.65\\\\_______\\0.35[/tex]

your answer should be 0.35

Bart had $20, and Andy took $19.65. Bart will have $0.35 remaining.

Start with Bart's initial amount: $20

Subtract the amount Andy took:

$20 - $19.65 = $0.35

Therefore, Bart will have $0.35 remaining.

Other Questions
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