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mixas84 [53]
1 year ago
15

Question four need to know what I did wrong I need to do it I need to understand

Mathematics
1 answer:
Nuetrik [128]1 year ago
4 0

If there are 189 children, then there are 189 divided 7 = <em>27 groups of 7 children.</em>

As mentioned in the problem,<em> for every 7 children, there are 2 caretakers </em>therefore, there are a total of 2 x 27 = 54 caretakers in the local daycare.

So, in total, there are 189 children + 54 caretakers = 243 people in the daycare facility.

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IrinaVladis [17]
H(x) = x - 5

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7 0
2 years ago
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A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft
aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = (10-2x)(15-2x)  

We are given that the area of the rug is 24 square feet.

So,  (10-2x)(15-2x)=24 ---A

150-20x-30x+4x^2=24

150-24-50x+4x^2=0

126-50x+4x^2=0

2(x-9)(2x-7)=0

x=9,\frac{7}{2}

x=9,3.5

Substitute x =9 in A

(10-2(9))(15-2(9))=24

24=24

LHS = RHS

Substitute x = 3.5

(10-2(3.5))(15-2(3.5))=24

24=24

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0
3 years ago
How much Work is used when 25N of force is done over 100m?​
murzikaleks [220]

Step-by-step explanation:

we know that

Work =f*d

=25*100

=2500Joule

therefore work done is 2500Joule

4 0
2 years ago
Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms
mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals.  Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and  ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and  ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram    

Given

AD || BC                                

From the definition of a parallelogram

AD = BC                                 Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA                      Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD                      Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA                     

Angle-Side-Angle

BO=OD                                Corresponding sides in congruent triangles AO=OC                             Corresponding sides in congruent triangles.

5 0
3 years ago
An organism that feeds upon primary consumers is known as a _______.
Snezhnost [94]
It's known as a heterotroph. They can't make their own food.
4 0
3 years ago
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