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'.

Answer:

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

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

[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]

Answer:

B

Step-by-step explanation:

80*17=1360/choice B

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

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

Step-by-step explanation:

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!

Answer:

1. Angle

2. Ray

3. Line segment

4. Point

5. Collinear points

6. Coplanar points

7. Intersection

Answer:

Step-by-step explanation:

he ate 21 egg sandwiches

Answeri think e?

Step-by-step explanation:

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

Answer:

=7

Step-by-step explanation:

Answer:

Igneous Rocks

Step-by-step explanation:

Alsooo this is Mathematics not science

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°

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

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

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

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

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

Answer:

Arenaita is correct 904.78 is the answer!!!☺️

Step-by-step explanation:

I got it correct the assignment!!!:)

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.

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

Answer:

360

Step-by-step explanation:

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:

Answer:

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

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.

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!

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)

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

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

Answer:

p=m+q I hope this helps!