83%
The work in an office takes 150 hours to complete every week.
Each person in the office works for 32 hours a week.
a)
What is the smallest number of people needed to complete the work?
b)
The number of hours each person works is decreased to 30 hours a week.
Does the office still need the same number of people?
Answer 'yes' or 'no'.

Answers

Answer 1

Answer:

a) 5

b) yes

a) reason is 5x32 = 160 hour

b) reason is 5x30 = 150 hour


Related Questions

5(x−4)=15 please help me answer this problem im having a lot of troube

Answers

Answer:

=7

Step-by-step explanation:

what would the answer to this question be ? 1 - (-1)

Answers

It would be two, hope this helps
the answer would be 2. when your subtracting a negative think of -(- as a +
hope it helps

Please help!

Write an equation passing through the point and parallel to the given line

(4,7); y = 3x + 6

Thank you!

Answers

Answer:

Step-by-step explanation:

y=3x+6

slope is 3, so y=3x+[unknown].

We insert the point (4,7) into the equation.

7=3*4+[unknown]

7=12+[-5]

so the answer is

y=3x-5

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 6 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (4, 7) into the partial equation

7 = 12 + c ⇒ c = 7 - 12 = - 5

y = 3x - 5 ← equation of parallel line

Solve:
(1 1/3) 24 = 32
b: 875 + 61/2=
1/2x + 31/2y=
91/5x +91/5=
Please help me

Answers

Answer:

875 + 61/2= 1811/2

1/2x + 31/2y= y + 31x/2xy

91/5x +91/5= 91 + 91x/5

Step-by-step explanation:

I did not understood the question but I hope thet was the Answer

In the following diagram it is know that AC≅BC, DE⊥AD, and m∠C=106°. Using this information find m∠E.

Answers

Answer:

Angle E is 53 degrees.

Step-by-step explanation:

Let's start with the ABC triangle first.

Since AC=BC, angle A and angle B are equal.

We know that the interior angles of a triangle add up to 180.

106 + A + B = 180

A + B = 74

A = B = 37

Moving on to the BDE triangle.

We have angle B = 37 (it's an opposite angle).

We know that angle D is 90, since this is a right triangle.

90 + 37 + E = 180

E = 53

Is this congruent by SSS, SAS, AAS, ASA? Hurry please ASAP! Only if you know!

Answers

Answer:

Side-Side-Side (SSS)

Step-by-step explanation:

I believe these triangles are congruent by the postulate SSS because both triangles have all three sides equal.

Rearrange m=p+q and make p as the subject

Answers

Answer:

p=m+q I hope this helps!


SOMEONE HELP ME! I WILL MARK AS BRAILY

Answers

Answer:

im pretty sure its A i hope it is have a good day :)

C, I believe it is, hope it’s right

Leonardo and Asha are solving the equation (256−247)(4x−19)=5x+14 separately. The results of their first steps are shown below. Leonardo: 256(4x−19)−247(4x−19)=5x+14 Asha: 9(4x−19)=5x+14 Which student has taken the better first step, and why? A. Leonardo, because he has removed the parentheses by using the distributive law B. Asha, because she has simplified the numbers involved in the equation C. Leonardo, because Asha has incorrectly performed subtraction before multiplication D. Asha, because Leonardo has incorrectly applied the associative law

Answers

Answer: B.Asha, because she has simplified the numbers involved in the equation

Step-by-step explanation:

. HELP DUE IN A FEW MIN ASAP im stupidssssss
Find the area of a rectangle with length of 80 inches and width of 17 inches.
A) 340 square inches
B) 1360 square inches
C) 680 square inches
D) 1020 square inches

Answers

Answer:

B

Step-by-step explanation:

80*17=1360/choice B

How to write 11 plus the product of 4 and 6 then divide by 5.

Answers

Answer:

(11+(4*6))/5

Answer:

11+(4*6)/5

Step-by-step explanation:

*= multiplication

/= division

Plz name me brainliest I would greatly appreciate it Thank You

If AB≅DE, BC = EF, and ∠ACB ≅ ∠DFE, then ΔABC ≅ ΔDEF.

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

*PLZ HELP*...See attachment and answer please. *Will Give brainliest*.................

Answers

Answer:

1. Angle

2. Ray

3. Line segment

4. Point

5. Collinear points

6. Coplanar points

7. Intersection

The diagram shows a circle and an equilateral triangle. One side of the equilateral triangle is a diameter of the circle. The circle has a circumference of 48cm. Work out the area of the triangle.

Answers

Answer:

[tex] Area = 101.4 cm^2 [/tex] (3 S.F)

Step-by-step explanation:

Diameter of circle (D) = one side of the equilateral ∆

Circumference of the circle = πD = 48 cm

Thus:

πD = 48

Divide both sides by π

D = [tex] \frac{48}{\pi} [/tex] = 15.3 cm (approximated to nearest tenth)

Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.

Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.

Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.

Thus:

Length of the two sides = 15.3 cm and

15.3 cm

Included angle = 60°

Use the following formula:

[tex] Area = \frac{1}{2}ab \times Sin(C) [/tex]

Where,

a = 15.3 cm

b = 15.3 cm

C = 60°

Plug the values into the formula to find the area.

[tex] Area = \frac{1}{2} \times 15.3 \times 15.3 \times Sin(60) [/tex]

[tex] Area = \frac{1 \times 15.3 \times 15.3 \times Sin(60)}{2} [/tex]

[tex] Area = 101.4 cm^2 [/tex] (3 S.F)

Which system of equations has no solutions?

Answers

Answer:

The one with the parallel lines

Step-by-step explanation:

A graph with parallel lines has no solution because they never intersect. One solution can not satisfy both lines.

Which type of rock results from melting and cooling of magma?

Answers

Answer:

Igneous Rocks

Step-by-step explanation:

Alsooo this is Mathematics not science

A retailer was given a trade discount are 15% and cash discount of 6% by the wholesaler. How much did the retailer pay for a good marked price for $3745

Answers

Answer: $2992.26

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

Explanation:

If you're given a 15% discount, then you still have to pay the remaining 85% (because 100% - 15% = 85%)

Rewrite 85% into 0.85

The multiplier for "15% discount" is 0.85

Similarly, the multiplier for a 6% discount is 0.94; note how 100% - 6% = 94% = 0.94

When we have multiple discounts chained together like this we find the product of the multipliers. So we multiply the 0.85 and 0.94 to get

0.85*0.94 = 0.799

After chaining together the two discounts, you will have to pay 79.9% of the original value. This means the overall discount is 20.1%

Take the result of 0.799 and multiply that with the marketed price of $3745 to get the final answer

0.799*3745 = 2,992.255 which rounds to 2,992.26

Drag a graph to each category based on the slope of the graph. IM GIVING YOU 26 POINTS HERE PEOPLE!!!!

Answers

Answer:

The first picture goes with the second sentence.

The second picture goes with the first sentence.

The third picture goes with the third sentence.

The fourth picture goes with the fourth sentence.

Step-by-step explanation:

I don't know if my answer is correct!!! plzz help asap

Answers

Answer:

102 degrees

Step-by-step explanation:

m< CDA & m<CBA are both 78 degrees because they are both acute angles.

m<DAB & m<DCB are both 102 degrees because they are both obtuse angles.

Whenever you add 78 + 78 + 102 + 102 you get 360 degrees which is how much a four-sided figure should be.

Hope this helps!

Answer:

∠ DAB = 102°

Step-by-step explanation:

The consecutive angles of a parallelogram are supplementary.

∠ CDA and ∠ DAB are consecutive angles, then

∠ DAB = 180° - 78° = 102°

Marc eats an egg sandwich for breakfast every morning and a big burger for lunch every day. The egg sandwich has a total of 250 calories. If Marc has 5,250 calories for breakfast, how many and lunch for the week in total, how many calories are in one big burger? Develop an equation using a tape diagram. (2 points ) Solve the equation.

Answers

Answer:

Step-by-step explanation:

he ate 21 egg sandwiches

Which ratios form a proportion? Select all that apply.

A.
1620=2835


B.
3515=5624


C.
515=3010


D.
1421=728


E.
1218=4060

Answers

Answeri think e?

Step-by-step explanation:

Dillon and Samantha work at two different grocery stores. Dillon made $41.50 for working 5 hours and Samantha made $50.40 for 6 hours. Who makes more money per hour?

Answers

Answer:

Samantha makes more money with $8.40 an hour.

Explanation:

$41.50 divided by 5 is $8.30, and %50.40 divided by 6 is $8.40.

Answer:

Samantha makes more

Step-by-step explanation:

Dillon:

41.50/5 would = $8.3 an hr

Samantha:

50.40/6 would =$8.4 an hr

Eighteen more than five times a number is 153. What is the number?

Answers

Answer:

[tex]\huge\boxed{\texttt{The number is 27.}}[/tex]

Step-by-step explanation:

In order to find the number we need to set up an equation where we represent the unknown number as a variable. I'll call it [tex]n[/tex].

5 times a number can be represented as [tex]5n[/tex].

18 more than that can be represented as [tex]5n+18[/tex].

We know it equals 153, so [tex]5n+18=153[/tex].

We can solve for n by reversing the equation until we have n isolated on one side.

Subtract 18 from both sides:

[tex]5n=135[/tex]

Divide both sides by 5:

[tex]n = 27[/tex]

So our unknown number is 27.

Hope this helped!

The diameter of this beach ball is 12 inches.

Apply the formula for the volume of a sphere to determine how much air it can hold. Use the calculator to multiply by π. Round to the nearest hundredth.

Sphere V = 4/3pi radius^3

How much air can the beach ball hold?

Answers

904.78 is the amount of air it can hold.

Answer:

Arenaita is correct 904.78 is the answer!!!☺️

Step-by-step explanation:

I got it correct the assignment!!!:)

Anthony was asked to give the coordinates of a point located in quadrant III. He gave the ordered pair (4, –10). Which statement best describes the error that Anthony made? His coordinates are not multiples of 3. His coordinates are both nonzero. His x-coordinate is the wrong sign. His y-coordinate is the wrong sign.

Answers

Answer: His x-coordinate is the wrong sign


Explanation: Quadrant III only has negative values, so (4, -10) is in quadrant IV.

The length of a rectangle is 99 centimeters. Find all possible values for the width of the rectangle if the perimeter is at least 240 centimeters

Answers

Answer:

So the width should be 21 cm, to have a length of 99 cm and a perimeter of 240 cm.

Step-by-step explanation:

240 = 2(99) + 2x

240 = 198 + 2x

42 = 2x

21 = x

what is the minimum angle of rotational symmetry for the quadrilateral shown below? 1) 60, 2)90, 3)180, 4)360

Answers

Answer:

360

Step-by-step explanation:

3x + y = – 7
Solve to find were the two point intercept

Answers

Answer:

Required Answer:-First we need to convert it into y=mx+c form

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+y=-7 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=-7-3x [/tex]

Now create table using thisTable:-

[tex]\boxed{\begin{array}{|c|c|c|c|} x & 1 & (-1) & 0 \\ y & -10 & (-4) & -7 \end{array}}[/tex]

Hence the intercepts are

[tex]\therefore[/tex][tex]\sf A (1,-10),B(-1,-4),C(0,-7)[/tex]

Pythagorean Theorem Coloring By Number

Plis help , I don’t understand this assignment!!!!

Answers

Answer:

Ahh. I see your troubles with this.

Step-by-step explanation:

So what the paper wants you to do is utilize the Pythagorean Theorem, to find the answer to each question, and whatever answer that turns out to be, you'll color the square with that color.

I'll walk you through the first one! I hope you can do the rest on your own.

Okay, the hypotenuse is 10, and one of the legs is 6. Time to input that!

([tex]a^2=b^2+c^2[/tex] <- Pythagorean Theorem, where a is the hypotenuse, b and c are the legs.)

[tex]100=36+x^2\\x^2=64\\x=8[/tex]

There you go, there's your first answer!

This means that you have to color the square Orange!

Happy Pythagoring!

What is Mary biking speed in miles per hour

Answers

Answer:20

Step-by-step explanation: This is answer is 20 because you have to divide 10 1/2 to get your answer .

what is Mary biking speed in miles per hour

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