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3 years ago

Greg has 15 marbles.He puts them in 3 equal group How many marbles are each group

Mathematics

2 answers:

sergeinik [125]3 years ago

6 0

15/3=5
5 would be the answer since 15 can be evenly divided by 3

Nonamiya [84]3 years ago

3 0

Answer:

Step-by-step explanation:

15 divided by 3 = 5.

5 times 3 = 15.

5 + 5 + 5 = 15.

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Are these ratios proportional? prove it<br> 5/9 = 25/18<br> the / are fractions

Natali [406]

5/9 = 25/18

Cross multiply:

5 * 18 = 9 * 25

Simplifying

5 * 18 = 9 * 25

Multiply 5 * 18

90 = 9 * 25

Multiply 9 * 25

90 = 225

Solving

90 = 225

No they are not

7 0

3 years ago

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Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher/10088809/d7a108ae?utm_source=registration

Irina-Kira [14]

X = Ishaan
y = Christopher

3y = x
x = y + 14 Put the first equation into the second.
3y = y + 14
2y = 14
y = 7

Christopher is 7
Ishaan is 21

7 0

4 years ago

Point p(a,b) is in the first quadrant on the graph of the line x+y=4. A triangular region is shown on the diagram. What is the m

Gala2k [10]

Answer:

The maximum area of the triangular region is 2 square units

Step-by-step explanation:

we know that

The area of the triangular region is equal to

$A=\frac{1}{2}(x)(y)$ -----> equation A

where

x is the x-coordinate of point P

y is the y-coordinate of point P

we have

The equation of the graph of the line is

$x+y=4$

$y=-x+4$ -----> equation B

substitute equation B in equation A

$A=\frac{1}{2}(x)(-x+4)$

$A=-\frac{1}{2}x^2+2x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The y-coordinate of the vertex represent the maximum area of the triangular region

Find the vertex

Convert the quadratic equation in vertex form

Factor -1/2

$A=-\frac{1}{2}(x^2-4x)$

Complete the square

$A=-\frac{1}{2}(x^2-4x+4)+2$

Rewrite as perfect squares

$A=-\frac{1}{2}(x-2)^2+2$

The vertex is the point (2,2)

The maximum area is the y-coordinate of the vertex

The maximum area of the triangular region is 2 square units

Find the coordinates of point P for the maximum area

x=2 (x-coordinate of the vertex)

Find the y-coordinate of point P

substitute in equation B

y=-2+4=2

The coordinates of point P for the maximum area is P(2,2)

3 0

4 years ago

g The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in

Leona [35]

Answer:

Step-by-step explanation:

Null hypothesis: u <= 3 minutes

Alternative hypothesis: u > 3minutes

Using a z test formula, z score is

z = (x - u) / (s/√n)

Where x = 3.1, u = 3, s = 0.5, n = 100

z = (3.1 - 3) / (0.5/√100)

z = (0.1) / (0.5/10)

z = 0.1/0.05

z = 2

To calculate for the p value assuming a 0.05 level of significance, the p value is 0.02275 which is less than 0.05. Thus we will reject the null and conclude that there is enough statistics evidence to show that the mean waiting time of all customers is significantly more than 3 minutes.

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3 years ago

10 + (-8) - 2<br><br> Answer the equation

maxonik [38]

Answer:

Step-by-step explanation:

$10 + ( - 8) - 2 \\ = 1 0 - 8 - 2 \\ = 2 - 2 \\ = 0$

6 0

2 years ago

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