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TiliK225 [7]
2 years ago
15

Forty five children attend a preschool. The number of two year olds is one half of the number of three year old's. The number of

four year olds is the same number as the number of three year old's. How many two year old's are there? How many three year old's are there? How many four year old's are there?
Mathematics
1 answer:
Maurinko [17]2 years ago
5 0

To put this into an equation, we can make x the amount of two year old's there are.

x+2x+2x=45

5x=45

x=9

9 two year old's, 18 three year old's, and 18 four year old's.

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A school graduation class wants to hire buses and vans for a trip to Jasper National Park. Each bus
BARSIC [14]
Let the school hire x buses and y vans.

A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.

The number of students riding in  buses and vans is at least 400, therefore
40x + 8y ≥ 400          (1)

The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36                (2)

Write (1) and (2) as
y ≥ 50 - 5x                 (3)
y ≤ 36 - 3x                 (4)

The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
2x = 14
x = 7   =>  y = 36 - 3*7 = 15

A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.

The minimum cost of renting buses and vans is
7*$1200 + 15*$100 =  $9900

Answer: The minimum cost is $9,900

6 0
2 years ago
Assemble the proof by dragging tiles to the statements and reasons columns.<br><br> PLEASE HELP
nataly862011 [7]

m<ABD = 52                               Given

BC bisects <ABD                        Given

m<ABC =  m<CBD                      Definition of angle bisector.

m<ABC +m<CBD = m<ABD        Angle addition postulate.

m<ABC +m<CBD = 52                Substitution

m<ABC + m<ABC= 52                Substitution

2m<ABC = 52                             Combining like angles

m<ABC = 26                                Division property of equality.  

5 0
2 years ago
Read 2 more answers
Classify each characteristic according to whether it is true for an amoeba, a clock, or both.
Stells [14]

Answer:

Amoeba is a single celled eukaryotic organism, found in the water body. These organisms have a false feet called as pseudopodium. It helps in the locomotion and captures food from the external environment. The organism does not exhibit a well defined shape. It has organelles like nucleus and vacuoles surrounded by cytoplasm. The food being captured by psuedopodium is engulfed inside a vacuole. It reproduces by the process of asexual reproduction called as binary fission. The genetic material replicates by the mitotic division, then the cell divides into two equal daughter cells. The amoeba obtains energy from food, and it uses this energy to move, capture food and reproduce.

A clock is a non-living thing. That displays time. It has three needles or hands, the bigger hand displays hour, the small one displays minutes and the thin needle displays seconds. These hands or needles uses energy from a cell or battery.

Characteristics features of amoeba are as follows:

Uses energy

Has internal organization

Characteristics features of clock are as follows:

Uses energy

Contains cells

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Has a defined boundary

Has internal organization

Step-by-step explanation:

4 0
2 years ago
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If the shape of our data set is multimodal, we expect:
scoray [572]

Answer: (D) none of the these.

Step-by-step explanation:

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If the shape of our data set is multimodal, the it will show two or more peaks which represents the number modes in the data.

Since it has no relation with mean or median of the data, there for the correct option will be "none of these".

3 0
2 years ago
Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation
Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

            (2x + 7) = 4

To Find :  how many bags he needs?

Solution :

(2x + 7) = 4

2x=-3

x=-\frac{3}{2}

Now we are given that Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

Substitute the value of x

B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)

B=8.5

Hence 8.5 bags are needed.

3 0
2 years ago
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